Definite integral of x e^x on [0,1]

MediumCalculus~4m

Compute ∫01xex dx\displaystyle\int_0^1 x e^x\,dx.

Show hints (2)+
  1. Integration by parts: u=xu=x, dv=ex dxdv=e^x\,dx.
  2. Antiderivative is (x−1)ex(x-1)e^x.

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