f(x)的导数=xsinx ,求f(x)

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f(x)的导数=xsinx ,求f(x)
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f(x)的导数=xsinx ,求f(x)
f(x)的导数=xsinx ,求f(x)

f(x)的导数=xsinx ,求f(x)
f(x)=∫xsinxdx
=-∫x dcosx
=-xcosx+∫sinxdx
=-xcosx-cosx+c(常数)
用的是分部积分法.

f(x) =∫xsinx dx
=-xcosx+∫cosx dx
=-xcosx+sinx+c

f(x)=sinx-xcosx