![](data:image/gif;base64,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)
(при c=a этот интеграл обращается в нуль).
Пусть функция
![](data:image/gif;base64,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)
в промежутке
![](data:image/gif;base64,R0lGODlhJAASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAgABEAhgAAAAAAAAIBAAICAgICAQABVQEAUwAAVAEAfwABgQICgQAAgAAAqgBUpgJVpwJVpQBUpQB/xQGAxgKAxAGAxQGBxwCAxgKBxwCq/1MAAVQAAFMBVVUCgVRUpVOAgFWn41Sm41Ok4VSl438AAX8AVIECAoAAAYAAAIECAY2NjYGBgYDG/6oAAKdWAqZTAaRTAaZTAKVUAqqqqqfjxqbj/6r//6fj/6Xj/8R/AcV/AMaAAcWAAcaAAMSAAsWBVsalVMf//sb//8T9/f+qAOGkVOOmU+KlU+KkU+KmVeOlVP+qqv/GgP//qv/jpv/ipf7ipP/jpf/+xf39xf//xv7+xP//4//+4uP/////4uH9/f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwfVgACCg4SFhoeEAYopiIhVLQIShCmKlY2XVS4fhpUBl41RJDSclp+HSwlApIqFOAMBE0QriEUUUiUEEYOdg1YvCkEAOgU2iDkeHEFLBqMAvIJGBTeCRQ1Xh1MmDtdNGbPOpVUwkoI5FYhOG8UASwfNz1MnIIJUI9+G1dcARwnB4KwAmmj4tsMdIh4W6I24sKvUFBQhACBRgUCIjxknFvjDEuNBFgA9gDUECCCJIhHxAqx4kkEkACgdfiiCoE/Qs0Y8Dkwz9c8Tz583f37qFICRUESUFAUCADs=)
непрерывна, а
![](data:image/gif;base64,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)
имеет в этом промежутке, исключая разве лишь конечное число точек, производную
![](data:image/gif;base64,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)
, которая абсолютно интегрируема в
![](data:image/gif;base64,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)
. При этом пусть функция
![](data:image/gif;base64,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)
в конечном числе точек
![](data:image/gif;base64,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)
Терпит разрыв первого рода. Тогда существует интеграл Стилтьеса и выражается формулой
![](data:image/gif;base64,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)
Характерно здесь наличие внеинтегральной суммы, где фигурируют скачки функции
![](data:image/gif;base64,R0lGODlhIAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABAAeABAAhgAAAAAAAAICAgIBAAEBAQEAAQAAVAABVQICgQABgQFTfwJVpQFTpABUpgBUpQCAxgCAxQGAxgGBxwCq/1UCAlQAAFUBAFMBAlMBVVQCgU5OTk1NTU9PT1WAgFSm41Ok4VSl41Ol4n8AAH8BAmhoaGdnZ2lpaX/F/oECAoAAAIECAYBVgYFWp5mZmYDG/4HH/6oAAKoAqqRTAaZTAKVUgKZVgaeAAbu7u7y8vKampqenp6ioqKWlpar//6bj/6Xj/6fj/8R/AcV/AMaAAcaBAsaAAMeBAsSkVNDQ0NnZ2djY2M/Pz8fHx8b///+qAOOmVOOmU+OnVeKmVOKmVeOnVv+qqv7Ff///qv7ipv/jpv/jpf7ipP7hpP79xf//xv/+xf39xODg4P/+4v//4+P//+Hh4f394uH94uH9/f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwf6gACCg4SFhoeIhzcCOIk4AjeJhTkCSJIASAI5lwBhJDqcADokYYRBAgELRy4AORpJgl0oAycAWBQPg0kamwBiMghNAE8GPgAlG4JjNE1DEF0sZIUbJYJWBz+CUAnCAQGFUQorwoXeAGMzEYNC6gAEBIVZFayG7wBeKR6CXyL6ACYaCmGxUMuQBhP3UtCTUoDeDg1KBkGzkavQrh33VHwAMKUDBiCCynBoIchMjSZRGJw5OYiHiTKCqHgDAaWBNEGUlhAxkE1LBZ6DlmgCsCUDOQBCJBTCoYFJIiYaGgEoEmIQlwsvQiUywgANADAjHNzUagiftwAVyR4KBAA7)
в точках
a или
b – односторонние (если на деле какой-либо из этих точек скачка нет, то соответствующее слагаемое суммы обращается в нуль).
Для упрощения записи введем обозначения для скачков функции
![](data:image/gif;base64,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)
справа и слева:
![](data:image/gif;base64,R0lGODlhFwETAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAWARIAhwAAAAAAAAEBAQEBAAECAgABAQEAAAECAQIBAAICAQEAAQAAAQEBVQAAUwAAVAABVQEAVAAAfwEAfwABgAEBgQAAgAEBgAAAqgAA/wBUpgBTpQFUpgFUpQFVpgBTpgJVpgBUpQF/pQB/xQB/xgCAxgGAxQGAxgKBxgD//1QBAVQBAFQAAFQAAVUBAFQBVVQBVFQAVFQAf1QBgVQAgE5OTk9PT1RUpVWAgFWm41Sm4lSm41Ol4lOm4lWm4lSl4lOm438AAH8BAX8AVH8AgGhoaGlpaX+AgH/F/n/G/n/F/X/G/4ECAoAAAIABAIABAYEBAYEBAIACAoAAAYAAVIABVZubm4yMjIGBgI2NjZqamoDG/4DF/oDG/oHG/6dVAqZUAaVUAKZUAKZVAqVUAaVVAqZVAaZUVKZVVaZVgaqqqqenp6ioqKampqbj/6bi/qr//6Xi/qbj/qbi/8Z/AMV/AcV/AMR/AcV/gMaAAMaBAcaBAMSAAcaAAcWAAceBAceAAMaAVcWlVNjY2NnZ2dDQ0NHR0dra2sb//8X+/sb+/sX+/8b+/8X9/cX///8AAOGlVOKlVOOmVeKmU+OmVOOmU+OlU+SmVOKmVOKmVeOnVf+qqv3Ef/7Ff//Gf//GgP7GgP3Ggf/HgP7Ggf7Gpv3Gpv//AP//qv7ipf/jpv3ipf/jpf/ipf/kpv/+xf39xf//xv/+xv7+xf//x/39xP7+xv3+xv7+xODg4P//4///4uP//+H+/v7+4eL//+L+/v/+4v7+4unp6f7/4+jo6P794uP+/v394eH9/eH94uL9/eHh4f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwj/AAEIHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDMSFCSgisQqNG5pHMjR48iHVWqIZFgSAC4vA0icnEnzYMqVNTEKCmDyY8iRLXMyBIkTYVAAub7gqLkpgy6FjwgEEKBhl9ChPx/OCcDV6VUiNSzWIDIS7NWGNMgqNDuwlZA2M10tGeAVIR4GbgB4GiDi7MK0ficOoqHGohoagzIOLuyXF5gCAxrAIXg4sVHCBD9NOHTSUwREeOoexJNDIK4wogMXXENDEEI6AgKUgKRFKOwAGwLVVhOAUEFIAgQY0MGQUADGEOkcCMBBNwA1AnwThERAOHGNdQKYiGRAQ6+BhAQg/zcIXbpASR18nRbgwZfG0E8Z/gqTfmYeBDuAiUnwGdSAATsQVIgAbBj0CxgUcIaHA3DRlAuCnE3CIABW0BDMQAcmiIsZDSoUDA1WQJTLGBQkAoCEcFV4oUC/kJiIMGbEodErTDBIYwMdfhgiQhUOQ1AdxBEjRmkFncbVkUjyoBB8DZ2SwhEn4fIFEpOEcIYbqKhgxAgA6LGBewLpaNAkDzQ4SWoKvQIEkkeiCQAnZQo0yWYAcEUQmR06ZOdDcMoIACUTmLinQJU84OdJqKxgYxMB1DbQoAZBCgsTSaTiQl4nMbkQL2T0VdMceAGASgomCDRHqQRxFYsTAWzhUhgymf+K6kynxQrAHLEOetqsA3VCV3yRBjCQJWxGYOJAuw5UB6q6hsGrQKHQVUxFiVZwiJGOCgRpQZCewoIAANKkqUJ7eEqTlNd1woAcLn3RA7cBxPJEAFDSeF0rQGTrq5sS2SsQvtcNSmO2BOFx3UHbpsnEvUAELKxAA492cEGyrMlmAO0NlCiD2Kb6MMIfAyBJoHlk8J1BRl7MlZIJjYuQHScINSoXAlHypagvYPpoyKKu4CgfEw5kcEJqqoxmxABc0qhAsWnsM8phEMytAA8hfYkCjjYtUKJSt9s1RLJAIRm+QWtLNUJaC4RHqZ5IoMhMdfA7ECQfgHkHZyd1YsEi7aL/qvexj5490CtQ+AAAJldIgAggcJ32db+FH34DDA1iYSHETxgOAB/XvTJFGzQWoARBH2LxkCyZS+5C5ZcDgLrmfXROBehMCIDERHkYIMIjC9QXJg2mI2T5ivMRh0oLSYAysUXGgAHCMabBStApMTAi0CxDXCv9QLI0YbKU339hMrJf2HprBu694gTNAPjBATJoHFs6LmUEwP4kXOlQ9OgAeE676BbJRP7OFB/emKcTR+KfqGzgC1o4YXnGGQ9DIsGVH5xpWs+JzkBCcaTbCUQVNkhGLaKwvNNZzFgECY8EKaPBnnnwDwHgEkaKdqQGuCFZ0SsWInAIMSi0Rxji8wUQ/9FHvllJyVOegACm9mJD8IinRaFaCCoY6MASPmQVMsAbAJY1kMEUSCGTKIAArGUQNiDGIVgEHBcFYggafDEhlAgOGWliRsscpI1vVI1AbBEFKC2Ej36MSCv6SJHDCEIUA2DZQsI4Ri1OZGgC8VYXCFIEGixkDjpomyMFQoMiPASSAHDSJAdSyYUAqW2NqEknF1JKPUbPgwo5DSwhIqVZRmSVEMGkJi2SBw64JxZBSM0gBJAFoklBC69owhFG0aGUKOMhvUwGAFwRBA9gkI3ENKYWaNGEJJDiUBnJQg2eqRBDZNOV6JzITSDyimMmc5l5YqfFYniQQfAEIaiIAWe2IjZDAICEnA6p2JH6SRBD3PMgrIiBiWBIUIz8syEG7Uk6J7oQokQEFTNQUADMR9GOevSjIB1JQAAAOw==)
очевидно, для
![](data:image/gif;base64,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)
Составим вспомогательную функцию:
![](data:image/gif;base64,R0lGODlhKQEwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAoAS8AhwAAAAAAAAAAMwAAZgAAmQAAzAAA/wAzAAAzMwAzZgAzmQAzzAAz/wBmAABmMwBmZgBmmQBmzABm/wCZAACZMwCZZgCZmQCZzACZ/wDMAADMMwDMZgDMmQDMzADM/wD/AAD/MwD/ZgD/mQD/zAD//zMAADMAMzMAZjMAmTMAzDMA/zMzADMzMzMzZjMzmTMzzDMz/zNmADNmMzNmZjNmmTNmzDNm/zOZADOZMzOZZjOZmTOZzDOZ/zPMADPMMzPMZjPMmTPMzDPM/zP/ADP/MzP/ZjP/mTP/zDP//2YAAGYAM2YAZmYAmWYAzGYA/2YzAGYzM2YzZmYzmWYzzGYz/2ZmAGZmM2ZmZmZmmWZmzGZm/2aZAGaZM2aZZmaZmWaZzGaZ/2bMAGbMM2bMZmbMmWbMzGbM/2b/AGb/M2b/Zmb/mWb/zGb//5kAAJkAM5kAZpkAmZkAzJkA/5kzAJkzM5kzZpkzmZkzzJkz/5lmAJlmM5lmZplmmZlmzJlm/5mZAJmZM5mZZpmZmZmZzJmZ/5nMAJnMM5nMZpnMmZnMzJnM/5n/AJn/M5n/Zpn/mZn/zJn//8wAAMwAM8wAZswAmcwAzMwA/8wzAMwzM8wzZswzmcwzzMwz/8xmAMxmM8xmZsxmmcxmzMxm/8yZAMyZM8yZZsyZmcyZzMyZ/8zMAMzMM8zMZszMmczMzMzM/8z/AMz/M8z/Zsz/mcz/zMz///8AAP8AM/8AZv8Amf8AzP8A//8zAP8zM/8zZv8zmf8zzP8z//9mAP9mM/9mZv9mmf9mzP9m//+ZAP+ZM/+ZZv+Zmf+ZzP+Z///MAP/MM//MZv/Mmf/MzP/M////AP//M///Zv//mf//zP///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwj/AAEIHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDNqvJZngKJRASDMahPggsJrbQRA0siy5caOH0OOLOmyps2bNvXQmhMAzLUSBCA9U4ANoTWSHnEqXVpQJ0+fQIUSZUq1qtWBKM0AeEaAFgBSYBaOGrDyqtmNbbRy9Qr2rNu3GaFNfQYBwLVOYZ8F2Lt3KgCYcANHlFuUrl1PYQUrXpywlEmOigBAW0KLj1eEowREZszZoGO7eSJPrny5s+m3d3cAsPYm8lEBpQse5av1NOfUq1uvThnbtu/fwIMLH068uPHjyJMrX868ufPn0AO34ku9Ol9B0ZVOt849APbs2Vux/9jbCiG2vVfA39weoPzB8wHSq4/OvujB6d/nu2Tv3iB+/dEJsld+BbVyhXwAtiSgdwgZiGCCzS3Yn3QMviUIC/ZRJKFg/7klyBUTIsdXiBddIwgWEHUI14UZTsRXi2adR+BZH5JIkYoFtrffiyxdc8UgEB24mJAVwRcAjBKBtBcEvSlEZGAsPFiRgDYONF2VFW0nJUXQJEGdXwoZOKOFIFqkpVtiKiYekgN1siQpm/l3xXfXeKlVlxEI9CGbFm0IkZsllRKnj0AahE0eS15GJVZ2SpZEnhSRwpdqC+E4kZ8NAXqBoA1xlKieOhKUDF+JZVRnAHc+amWFBWEzhwsrkf+S1H0YAoBNHbTkccE1fZSWpksjOuRqV3/NateJBtWplbICHejerbnu2itFrsKKDR1NyrmlRMEuNKxXgC3ELLMAOIuVJwPQcs0ncV4EbScXWDPtQNiwMOZWs5aSLkJPCpRMApYVFCVBKHHH5EPsOaTvZskokG1BnRwMwCiQ7mXQvwFHaqxDFl+U8EIL++swQxFfRrFAHQukb1k2lfJAxgSljFXEA+makMyOljoQzhphmtBdkAIAL0NH1eaqSQDw3KXOEd1VV0HQBBDBwylLSt2+DfmcbCdBD71Q0QIdjXIA9M6BtKgBgFlRl7UVxHOdiaFE6UE4W5NEu2PbBB+WjMb/ndZAeqm92gmXofRF3rLdfdCp1oFZJ94CjTK3QTxPtPdJSfjdduAwWkO4QIYjbtffBuGFUMHWSUyQNSVAnjTZsrWRmF6bvVbaFSwQLMUfTxPUL+PVCb7QFawqtHTkKhHUSdsDkTK1QM/AJjrou/cu0fGtzuH69BURz3fOyMeWB/MCOX9Z9GWl/BPkdzE90TVSjGL9zrATnMThycywRGSnGlsj6HugBSlEkjHx3OsiAjpgsjIHgFJcoSuc4gj5JgaBwvRkICzCSgAHOAuYPaROhxNa3PZ3KubVS4EPSSBD4NbAB9IiguMrXQUlc0E91Wp0IRxFCK+xBEgUbHvewlUp/whYGmwcqE7Egt5edjCUDGWmiPaamPR+4r8ytWQ6uXuIXgKwg1PFTQnqIklkXLWgALRrUVL0ChWBuJCo7WVQLsCG3HKEwoZg0SFb7KKXvhhGM9pqDmU8Y6gAMKq9lAoaWVBXEibYkCfapQQDSARBrsSKJOwLGkwojdcE0omNobFBxcvIdvh0PSwoMjGT2Z4Bq1KKvSSRIBf6XqX2QsqHQMOULJTM/hoURYUUEms1qVFmyiK5gbCNIMMsEAuq9KuWeI8lWwQmNIBpENxVRXLTbNLALPJMjOiFBdKkZkGsqZDlJSMoN+kXJw+GkpGNji8hXFEoL9KJL6ylearzzzxr8v+4rEAjTv+b0j4nUk9ovHKADwOApQjWBkUoCxos69kN7ceXoJnmPNuqCEp8cjdTqKsTk7vPQFmCyZW4qXcBpVZ80MJRRXgUN2Ea6DU+B5KzSbSWwLkcQrb5EGtQZmI0gRC9yJMQnhLtpzUV6pBGuh2laoR4CmyqU5OjwoQsaKoIHCkAropV47CnO9TJaFcZ8lWwomesxSmjWQeEVomoda11bKtc50rXutr1rsnhHF4vMirh7XU4pvurRQIr2OJwxH2FdUj7EmtYJThUjKijjlYAlc+98tCHXnqsdZaVEjYyVimIbAW5ENIlBYCEkXZFpCJRK5DZbOyzVvllQgUSNTBW6CWef5VtI8kC27OM7xkoKAvw+KKIUe0gaqyl6/jOWTgvVWcz4eptVbKCEkX8MyGsg0ArkytX6t4NomLRjHStMlOvJFUhSvJrXcsLVJsaZDZ74a5+AgIAOw==)
которая как бы вбирает в себя все разрывы функции
![](data:image/gif;base64,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)
, так что разность
![](data:image/gif;base64,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)
оказывается непрерывной (по доказанному ранее).
Для значений
![](data:image/gif;base64,R0lGODlhEAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABwAJAAkAhQAAAAAAAAIBAAAAVAFTfwFTpACAxgCAxQCq/1UCAlQAAFUBAH/F/oECAoBVgYFWp4DG/6oAAKVUgKZVgaeAAar//6Xj/8aAAcaAAMb///+qAOOnVf+qqv7ipv/jpv/jpf79xf//4+P///394uH94v///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwYxQIBwSAQ1BAxAJ2EISTKXA+ghIm4IjgwR4FFAtspFsvigGIijSWZTIKkxAwvgo4gDggA7)
, отличных от всех
![](data:image/gif;base64,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)
, непрерывность функции
![](data:image/gif;base64,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)
не вызывает сомнений, т.к. для этих значений непрерывны обе функции
![](data:image/gif;base64,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)
и
![](data:image/gif;base64,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)
. Докажем непрерывность
![](data:image/gif;base64,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)
в точке
![](data:image/gif;base64,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)
справа. Все слагаемые суммы
![](data:image/gif;base64,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)
, кроме члена
![](data:image/gif;base64,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)
, непрерывны при
![](data:image/gif;base64,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)
справа; поэтому достаточно изучить поведение выражения
![](data:image/gif;base64,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)
При
![](data:image/gif;base64,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)
оно имеет значение
![](data:image/gif;base64,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)
; но таков же и предел при
![](data:image/gif;base64,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)
Аналогично проверяется и непрерывность функции
![](data:image/gif;base64,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)
в точке
![](data:image/gif;base64,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)
слева.
Далее, если взять точку
![](data:image/gif;base64,R0lGODlhEAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABwAJAAkAhQAAAAAAAAIBAAAAVAFTfwFTpACAxgCAxQCq/1UCAlQAAFUBAH/F/oECAoBVgYFWp4DG/6oAAKVUgKZVgaeAAar//6Xj/8aAAcaAAMb///+qAOOnVf+qqv7ipv/jpv/jpf79xf//4+P///394uH94v///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwYxQIBwSAQ1BAxAJ2EISTKXA+ghIm4IjgwR4FFAtspFsvigGIijSWZTIKkxAwvgo4gDggA7)
(отличную от всех
![](data:image/gif;base64,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)
), в которой функция
![](data:image/gif;base64,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)
имеет производную, то вблизи этой точки
![](data:image/gif;base64,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)
сохраняет постоянное значение, следовательно, в ней и функция
![](data:image/gif;base64,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)
имеет производную, причем
![](data:image/gif;base64,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)
Для непрерывности функции
![](data:image/gif;base64,R0lGODlhKgAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAoAA8AhwAAAAAAAAMDAwICAgMCAAEBAQEAAQECAwAAVQACVgAAVAAAfgIDggACgQAAgAAAqgFTfgBVqgNVpQFTpABVpgJTpABUpgB/xQB/xgGBxgKBxwCAxgCq/1UAAFYDA1QAAFUCAFMAAVMBAlMBVVQCgVUAqk5OTk1NTU9PT1aBf1Wm41Ok4FSm41Ol4n4AAH8AAH4CA2hoaGdnZ2lpaX7F/n/G/37D/H/F/4EDA4AAAIECAYBWgoFWp5mZmYHG/4DG/4HH/6oAAKpVAKRTAaVTAKZUf6ZWgqpVqqeBAaqqqrq6ury8vKampqioqKWmp6Wlpaenp6r//6bj/6fj/8N+AsV+AMN+AMV/AMR+AMaBAcaBAsaAAMeCA8OkVMOkpM/Pz9nZ2djY2M7OzsbGxsX//8X+/8b///+qAP+qVeOmVOOlU+OnVeGlVeGmVuOnVuCkU/7Efv/Ff///qv3hpv/jpv7ipP3gpP79xf39xf//xv/+xP//xfz8w+Dg4P/+4v//4+P///z84eD84eHh4eD8/P///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwj/AAEIHEiwoMGDCBMqLKhEwBKESwQoWUhRIJMBXxR+GcAkIRUBASR08YGwT4wmAu/gIEADwBwPFwQ2idHHoJ8hDMgASINACkImJsAA+FOETJYLeHgAGgjGRMeCcBL4BKCmgc6DMk4UXANhx9WBJ2QU/EMkw8AqZhEGCFCQzocfBtcWzJNDhUA9LuwiLFCg4BwQLQvynZujhkA2BkgCsHKAwIIyAmeYIHiHBxIMBk3MKLhHxwoAbVKMmAIgTgAWWgYAkWkijMBARsismSAotsAwJprkeeHAjEA3a1moobB0oBcnxQeh6AHgigKfbp8PfDJjUJ0QOeuQ+IpFA8E3AWwQOoQiQIxCMQKgNJe+pcVAOyJWCwS/Fu7AJSbGIBxj4mFBLhUQAgAfMFhQnGlrBXBDRQvRleAGDEZYUEAAOw==)
по предыдущей теореме, существует интеграл Стилтьеса
![](data:image/gif;base64,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)
Точно так же легко вычислить и интеграл (с учетом (13), (14))
Складывая почленно эти два равенства, придем к равенству (15); существование интеграла Стилтьеса от
![](data:image/gif;base64,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)
по функции
![](data:image/gif;base64,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)
устанавливается попутно свойство
![](data:image/gif;base64,R0lGODlhJQBJAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAHgAGAAsAgAAAAAAAAAIPhA+hkdyooFvonXjpW6wAADs=)
в п.4.
Геометрическая иллюстрация интеграла Стилтьеса. Рассмотрим интеграл
![](data:image/gif;base64,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)
предполагая функцию
![](data:image/gif;base64,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)
непрерывной и положительной а
![](data:image/gif;base64,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)
-монотонно возрастающей (в строгом смысле); функция
![](data:image/gif;base64,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)
может иметь и разрывы (скачки).
Система параметрических уравнений
![](data:image/gif;base64,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)
выражает некоторую кривую (K) , разрывную, как на рисунке.
![](data:image/jpeg;base64,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)
Если при некотором
![](data:image/gif;base64,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)
функция
![](data:image/gif;base64,R0lGODlhHQAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABAAbABAAhgAAAAAAAAICAgIBAAABAgEBAQEAAQAAVQABVQAAfwICgQABgQJVpQBTpABVpgFTpABUpQGBxgGAxgCAxgCBxgCq/1UAAFMBAlMAVVMBVVUAVVQCgU5OTk1NTU9PT1WAgFSm41Ok4VSl41Ol4n8AAX8AAH8BAmhoaGdnZ2lpaYECAoAAAYAAAIECAZmZmYHG/4DG/6oAAKpVAKRTAaZTAKqqVaqqqru7u729vby8vKampqenp6ioqKWlpar//6bj/6bk/6fj/8R/AcV/AMaAAMaBAcaBAsSkVNDQ0Nra2tnZ2djY2M/Pz8fHx8T8/Mb///+qAOGkU+OmVOOmU+GmVOKmVeOnVv+qqv7Ff/zFgf7GgP//qv/ipf7ipP7hpP/+xf7+xv//xvz8xODg4P/+4v//4+Hh4eH8/OLi4uT//////wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwfvgACCg4SFhoeIhDcCOIY5AjeJhToCSIJfJC+DSAI6koJjJzuDUQlOhDsnY4RCAgEMRzAAOhxJAGAqAwQBAZoAShyeAGQzCk8AUgc/ACgdg2U0EYYdKIJYCECCUwvHvINhK7KF3tASg0PmAAUFg1wYy4XrAGEsIJcl9gApHIPbx4UcUsxjIY6KAXE8OCwRRGSCoSUcRoFpEQJAlQ8Zgggy48GFoCINzmShMKhHCjSCrPASMcVBmkGUmADQwoukICYCRnXZ8A/AEGmEcnBoYqgJh0YAiIwY5OWCr0+GjDw4A0CMCQgvoRqixyuAQ62HAgEAOw==)
испытывает скачок, так что
![](data:image/gif;base64,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)
, то этим предельным значениям
![](data:image/gif;base64,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)
отвечает одно и то же предельное значение
![](data:image/gif;base64,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)
, равное
![](data:image/gif;base64,R0lGODlhQwASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAcAAQA2ABEAhwAAAAAAAAQEAwQEBAICAgACAwQDAQQDAgAAAgMEBAABAwMBAAAAAQIAAAMDAwEAAAAASAIAVQACVgQEVwAAUwAAVAAAVQABVQAAfgAAfwABgQACgQAAgARXpwBTpQFVpwBVpwBTowNXpwB/xQB+wwCRtwGBxgOCxwKBxwCAxkgAAFUEBFMAAFMBA1QAAFUAAFYDAVMAVUhIkVVWglOj31Wm40i3/1Sm41Oj4X4AAn8AAH8AAX4AAX4AAGZmZmpqan/F/pEAAIIEBIAAAIEBAIECAIAAgJGRkY6OjpmZmZycnIuLi42NjZG3/4HH/4DG/4HG/6VTALdIAKNTAKZUAKdVAbeRALe3t7CwsLOzs7f//6bj/6fj/qPh/qXj/6fj/8V+AMV/AMN+AsaAAMeBAseCA9+jU8fHx8XFxcbGxtDQ0M/Pz93d3cb//8P7+9/7+8P9/v+3SOGjU+OnVuKlU+OnVeOmVP+3kf3Efv7Ffv7Ff/vFgf/GgPvfpfvfo///t/7ipf/jpv7ho///xv79xP793//+xf/+xOHh4f/+4unp6eP//+L/////4v//4+Xl5eLi4f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwj/AAEIHEiwoMGDCBMqVNhnhYAIWxZKnCjwTIAzWAIEQDQQj4Qtg4y0kXhmQAA0SAJQNGgRgEaCiaKYWEgoh5OBigb4SKNyJUGLSQgU9MOChkE/LSZwAWAGgxuCiAIk6bmw0JQCBih0AWAxgBKCYw4gSBDgyUA5CjosGiRkQQGNZgUSeCkRDIMTcxp4YNRVTcE8GkYOBMTiwyKBjaKgMJiSakJDOiqAHELBS1eDYUAcHkgnQI2BhnZAYUlXYSAXFr4MIlL2MsHEiwc6olJ2cIyIBXk6Rng6Q5vZrTWuIWiIx2jZtOMCoLNBMMElpQuevgEg0AvJjqIwgGKRQBKCeizgmxYIXPmYEQcDzOXtgvqgIloP9bjwxSITx3QCE3RUJQCQgWSE8MYeKQzEBgFK7DbQdAKV0QAJZiAgwiItOUAVGIYVVMcDOAzEh0YFCvRIAD/wxB51AAwyhEYcjGTRGVloBAlkn0kHAwZwINTVGfchRFSHKwnSwk0G2XEACT4VNMcCAVQwg3MLiTEhQh9KliR5tFkpkYotXuklQgEBADs=)
). Дополним кривую (
K) всем горизонтальным отрезками, соединяющими пары точек
отвечающие всем скачкам функции
![](data:image/gif;base64,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)
(по рисунку). Таким образом, составится уже непрерывная кривая (
L). Покажем, что интеграл (16) представляет площадь фигуры под этой кривой, т.е. площадь фигуры, ограниченной кривой (
L), осью
x и двумя крайними ординатами, отвечающими абсциссам
![](data:image/gif;base64,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)
и
![](data:image/gif;base64,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)
.
С этой целью разложим промежуток
![](data:image/gif;base64,R0lGODlhJAASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAgABEAhgAAAAAAAAIBAAIDAwMCAgABVQEAUwACVQAAVQAAVAIAfwACgQIDgQAAgAMDgQAAqgBVpgJWpwJVpQBUpgB/xQB/xgGAxgKAxAGAxQKBxwCqqlMAAVUAAFMBVVYDgVRUplN/gFWn41Wm41Ok4FSm438AAX8AAH8AAn8AVX/G/4EDA4ECAYEAAI2NjYGBgYDG/4HG/6oAAKpVAKdWA6ZTAaRTAaZTAKVUAqqqAKqqVaqqqqqq/6r/qqfjxqbj/6r//6fj/8R/AsV/AMZ/AMaAAcWAAsaBAMWBVsamVMf//sb//8T8/P+qVeCkVOOmU+KlU+KkU+GmVuOmVP/Gf//GgP//qv/jpv/ipf7ipP/+xf38xf//xv7+xP//4//+4eP/////4uD8/P///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwfVgACCg4SFhoeEAYotiIhdMwIWhC2KlY2XXTQhhpUBl41ZKD6clp+HUwtJpIqFQQMBF00viE4YWioEFIOdg141DEoARAVAiEIgHkpUBqMAvIJPB81OEF+HWyUR1lYbs86lXTaSgkIZiFcdxQBTCM3PWyYiglwl3obU1gBQC8HfrABWOKQQVKQdoiEV5p0wJ+jdihEAorhQsORIDxMN+oG5ISEMgCAO+vnzJEiKIhJbWASAgWUDMEFWPiBRNCFfw1KNjCRoZuqZqZ8jgQLtFICRUESUFAUCADs=)
на части точками
![](data:image/gif;base64,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)
и в соответствии с этим промежуток
![](data:image/gif;base64,R0lGODlhTgASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBKABEAhgAAAAAAAAEBAQEAAAAAVAABVQEAfwABgAEBgQAAgAAA/wFUpgBUpgFVpwFUpQB/xQCAxgGAxQGAxgGBxgD//1QAAFQAAVQAVFUBgVQBgU5OTk9PT1RUplSAgFWAgFSm41Sl4n8AAH8AAX8BAX8AVGhoaGdnZ2lpaX/G/4ABAYAAAIEBAI2NjZubm4yMjIGBgJqamoDG/4HG/6dVAaZUAKVUAKZUAby8vL29vaenp6ampqbj/8V/AcZ/AMV/AMaAAMaAAcWAAcaBAcaAVcWlVMamVNjY2NDQ0NnZ2c/Pz8fHx8b//8X+/v8AAOKlVOOmVOKmVOKmVeOnVf7Ff//GgP//AP/jpv/ipf7ipf//xv7+xv/+xf7+xf//4+Dg4OHh4f//4v/+4unp6eP//+L+/v///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwf/gACCg4SFhoeIiYqLiAGOLIyRkolGAi0AXTMDEIUtGl6CLI6jk6WmAEYBl4JdNB+GnqCCowGTNwI4iDgCN6eCJRuEWSQ7hxslg7SSOQJHikcCOadIGtKDVAdLhzkaSLOkhTwCAQtEMQBfJdaC4gERTucAOSVfiu3l5zkBzoNPEFopBDwgdCSANWWDwNRAoO0JgWLcvAEIs1Dbj4eCqK0rpJAhAIfFXGgQQ6hHBwxLqGAUJEaDi2+OCE0pUOxjNgAmNPSjKegJgzGDNJhANLPmk5sxB2VR0QColQrxvsGsxYoGJ0E9riZtdRVADwmEkhbiOiir1EFWLtRUWfMsQgBL/18B2BJC7jhBcQXRjQoggIBDeefWPdvzpyAnN5NRfbs0HpQA8UroBPA0HpCVgjQgM9RY0ON4dwf9uLpFxIRCfqcqXQECQBQPagVFhMva9QsDTIYU07g0gTa8tV/HBsBiJCsbC8gACOJxUEtIfcEJkuLog0+g6DbA6Fk9S4gAKATpoHelQvPp1a/L3ifICocijgwTNKgawJUMvwH4ADuIWRJFSUTjFWb35bffINToIIkO3dT3g1wAYGGBDIXgoIESiCihQS6HPDiIhBQOcsJkjGhwgmJJCeGAclyMIJ8vhqjIoovYZSTAdou0sEE9UwXAwlKjdAUjZyoEeQgSqijiCQWPojgSCAA7)
на оси
![](data:image/gif;base64,R0lGODlhEAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABwAJAAkAhQAAAAAAAAIBAAAAVAFTfwFTpACAxgCAxQCq/1UCAlQAAFUBAH/F/oECAoBVgYFWp4DG/6oAAKpVAKVUgKZVgaeAAar//6Xj/8aAAcaAAMb//+OnVf+qqv//qv7ipv/jpv/jpf79xf7+4+P///394uH94v///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwYxQIBwSAw1BAyAJ2EQTTSYQ+gxIm4IDg0R8FFAtspFsvioGIgkimZTKKkzgwsApIgDggA7)
- на части точками
![](data:image/gif;base64,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)
Введя наименьшее и наибольшее значения
![](data:image/gif;base64,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)
функции
![](data:image/gif;base64,R0lGODlhHAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwAaABEAhgAAAAAAAAMDAwICAgMDAgAAAgIBAAACAwEBAQAAVQIAVQACVgAAfgABgQACgQAAgABVpgBTpAFVpwNWpwB/xQGAxgKBxwCAxgCq/1UAAFUDA1MAAFMBAlMAVU5OTk1NTU9PT1Ok4FWm434AAn8AAX4AAX8AAH8Af2hoaGdnZ2lpaZEAAIIDA4AAAJGRkZmZmYHH/4DG/6oAAKVTALeRALq6ur29vby8vKqqqre3t6ampqioqKWlpaenp6r//6bj/6bj/sV/AMV+AMN+AsaAAMeBAtDQ0M/Pz9nZ2djY2M7OzsfHx8bGxsb//8P7++CkU+KlU/+3kf7Efv7Ffv7Ff/vFgf//qvvgpf//t/vgpP/ipf7ipP7+xf/+xP/+xf//4uDg4OT//+Hh4eD7++Li4v///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwffgACCg4SFhoeDVxoCCj+Ij4NSC0BcJ02CNQI2hjcCNYVfMxWFOgNGgl0jMINHAzqEWRshhGAoO4NPDE6EOyhggkEEBQIBMYI6HkgAXCwGBwHFgkger4JTDZeDKR+DoRaGHymDQRBhhNCDXiTGhegA3oUICINaHY7x8wBeJeyDKh6DoDjIRsiDCkFUEtwbtMNDEkFEKBhK4uEWACjYCokB8UJQkQhjqlwYxEMFGUFCJJgr1EOAEgBUoI0UpESARS8mRCC64WGJISYeNgnawmEVpKMAhkxYiRRRiwcEmx4KBAA7)
в
i-ом промежутке
![](data:image/gif;base64,R0lGODlhOwAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQA3AA4AhgAAAAAAAAEBAAABAgIBAAICAgECAgEAVAAAVAAAUwAAfwABgQAAgAECgQAAqgBUpgBTpQGBxgCAxgGAxgCqqgCq/1MAAVMAVFMBgVSm438AAX8AAH/E/YECAoAAAYAAAIHG/4DG/6oAAKZTAKZUAKdVAaVTAKqqAKqq/6r//6bj/6Xh/cR/AMaAAMaBAcT9/cb//+GlU+OmVOOmU/+qquKmpv/Ff/3Fgf/GgP/jpf//qv/jpv/ipf/+xf//xv79xP//4+P//+H9/f394f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwfpgACCg4SFhoeIiYoBjAGCPRogioaQkpOTjY2EMQovl5udn5eZgj4dAgOMIZemqKqiiaSCQCMRsAC0trexmqUeq7A+v7u8jIM5FyqFMg9BiMjKhMzOu7IAMwswt9jaikAkwIu9AC0ShEAlB9GH5efp67jghD8bCPDWLhBCN+YAOxjdfHxg0A1Avn39/hUEMMQEh0ECCdgjZA0Ho34AbEwYxMNCg4IWA2DUWOpDgAICDLwiN3GQNXYZBrVomahFzHPyCM28l8mRoW8caiz0RiJowW/hBLFIsELQy0PfAtz8FHVqvHACG1kFEAgAOw==)
, составим нижнюю и верхнюю суммы Стилтьеса – Дарбу
![](data:image/gif;base64,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)
Они представляют площади фигур, составленных из входящих и из выходящих прямоугольников, между которыми содержится рассматриваемая криволинейная фигура.
Так как при стремлении в 0 всех
![](data:image/gif;base64,R0lGODlhGAAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAVAA4AhgAAAAAAAAIBAAABAgAAAQICAgEAAAAAUwABVQEAVAAAVAAAfwABgQAAqgBTpQFVpwBUpQBTpAB/xQGBxwCAxgGAxgCq/1UBAFMAAFMAVFMBgVOl4lOk4lWn41Sm438AAX8AAH/F/n/E/YECAoAAAYEBAIHH/4DG/6oAAKRTAKZTAKdVAaVTAKdVAqVUAKZUAKfHp6r//6Xi/6bj/6fj/6Xj/8V/AMR/AMaAAMeBAcT9/cX+/8b///+qAOGkU+OlVOOmU+KlU+Kmp/7Ff//Hgf3Fgf/GgP//qv/ipf/jpv/+xf//xv/+4uL/////4+P/4+P/////4uH9/f///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAweXgACCg4SFhoeESh8miABMKQEHMoQ+CzqNQwGaG4JLIwIDmieHNgQFBg5Ngk4qE41KIAgwF5KdJKOImQ9PKwEcgkgZM4U/EFBRLAQdAEQGCzsAQAw8iEgYCDQASyUBIQA4FIROLQnDQQERUoI3ARIAOelF4QBJGtQumvmaCjVGmvMAhlRoRBCHB4KInLwQIYQaQnEvAhwMBAA7)
обе суммы стремятся к общему пределу (16), то отсюда следует, что фигура, изображенная на рисунке квадрируема и площадью ее служит действительно интеграл (16).
Теорема о среднем, оценки. ![](data:image/gif;base64,R0lGODlhLQBJAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAABAAEAgAAAAAECAwICRAEAOw==)
Пусть в промежутке
![](data:image/gif;base64,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)
функция
![](data:image/gif;base64,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)
ограничена:
![](data:image/gif;base64,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)
, а
![](data:image/gif;base64,R0lGODlhIAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABAAeABAAhgAAAAAAAAICAgIBAAEBAQEAAQAAVQABVQAAVAICgQABgQFTfwJVpQFTpABVpgBUpQCBxgCAxQGAxgCAxgGBxgCq/1UDA1QAAFUBAFMBAlMBVVUAVVQCgU5OTk1NTU9PT1WAgFSm41Ok4VSl41Ol4n8AAH8BAmhoaGdnZ2lpaX/F/oECAoAAAIECAYBVgYFWp5mZmYDG/4HG/6oAAKpVAKRTAaZTAKVUgKZVgaeAAaqqVaqqqru7u729vby8vKampqenp6ioqKWlpar//6bj/6bk/6fj/8R/AcV/AMaAAcaBAsaAAMSkVNDQ0Nra2tnZ2djY2M/Pz8fHx8b//8b+/v+qAOOmVOOmU+OnVeGmVOKmVeOnVv+qqv7Ff///qv7hpv/jpv7jpf7ipP7hpP79xf//xv/+xf7+xvz8xODg4P/+4v7+4+T/////4+Hh4fz84uH84uLi4uH8/P///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwf7gACCg4SFhoeIhzwCPYk+AjyJhT8CTZIATQI/lwBpJ0CcAEAnaYRHAgEMTDEAPx1OgmQrAyoAXxYQg08dmwBqNQlTAFYGRAAoHoJrN1RJEWQvbIUeKIJdB0WCVwrCAQGFWAsuwoXeAG02EoNI6gAEBIVgF6yG7wBlLCGCZiX6ACkdCn3BUMtQhxT3WNDLUoBekA5QBkHLMcEQlA6gzrQQAUALCA1GBLn5AEPQGxxUsDSAg4McACEp4gja4m3EFQfSBFGKogRBtjAXfA6KIgCUGA4ukVAo5KODlERSOjQCsITEoDEZZIRKpKSBHABoTDzIudUQPm8BKpZFFAgAOw==)
монотонно возрастает. Если существует интеграл Стилтьеса
![](data:image/gif;base64,R0lGODlhDQAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABAAHAAwAhAAAAAAAAAIBAAAAAQABVQAAVAAAUwICgQABgQAAqgBUpQGAxlWn438AAaZTAKXj/6bj/6Ti/sV/AMR/AMaAAMb//+KlU+OlVP7Ff//GgP//qv/+xf//4+P//////wECAwUpICCOYyYMRzVSxENKC7k1DJkVEGkhqsg5sdGsNsLgSBNDZHQJBBQdUQgAOw==)
от
![](data:image/gif;base64,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)
и
![](data:image/gif;base64,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)
, то имеет место формула