Integrate x*sin(x) with respect to x.

We integrate by parts: u=x   u'=1;  v'=sin(x)  v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.

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Answered by James R. Maths tutor

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