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Use integration by parts. integral of xe^xdx =xe^x-integral of e^xdx.

This is xe^x-e^x +C. Check by differentiating. We get x(e^x)+e^x(1)-e^x, which equals xe^x. That's it!

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Q: How do you integrate xe power x?
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How do you integrate x power e power x?

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Do it by parts. Int(u.dv) = u.v - int(v.du) Let x = u, then dx = du. Let e^x = dv, then v = e^x. Plug into formula: xe^x - int(e^x.dx) = x.e^x - e^x or e^x(x-1)+C


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