求∫x2exdx.

admin2016-05-11  8

问题 求∫x2exdx.

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答案∫x2 ex dx=∫x2 dex =x2 ex -∫2xex dx =x2 ex -2∫xdex =x2 ex -2(xex -∫ex dx) =x2 ex -2xex +2ex +C

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