Thread: Integral of xf(x)dx

1. Integral of xf(x)dx

I tried doing integration by parts, but I end up getting the wrong answer, help?

2. Let $\displaystyle u=x\implies du=dx$ and $\displaystyle dv=f(x)dx\implies v=\int f(x)dx$.

So we get $\displaystyle \int xf(x)dx = x\int f(x)dx -\iint f(x)dx dx$.

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integral x f(x)dx

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