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    IBHardCalculus10–12

    Integration by Parts

    Integração por Partes

    Evaluate ∫xex dx\int x e^{x}\,dx.

    Use integration by parts: ∫u dv=uv−∫v du\int u\,dv = uv - \int v\,du. Let u=xu = x, dv=ex dxdv = e^{x}\,dx.

    Solution

    Step 1 of 5

    1. 1.u=x⇒du=dxu = x \Rightarrow du = dx