求∫x2exdx.

admin2017-08-18  2

问题 求∫x2exdx.

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答案∫x2exdx=∫x2dex=x2ex一∫2xexdx =x2ex一2∫xdxx =x2ex-2(xex一∫exdx) =x2ex-2xex+2ex+C.

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