Question

Integrate xe^x .
Can somebody give me a step by step solution. Ans is e^x(x-1)

Answer 1

Use integration by parts.\[\int u dv = uv - \int v du\] with \(u=x\) and \(dv = e^x dx\). what must \(du\) and \(v\) be? By the formula, what must this integral equal?

Answer 2

\[e^x(x+1)\]

Answer 3

Thanks for the hint :)

Answer 4

See attachment for tips.

http://tinyurl.com/aubrttj