How do I perform this logarithmic integral? int xe^x dx, u = x, dv = e^x dx

[lasvegas666]

How do I perform this logarithmic integral?

 

[mario99]

Use integration by parts.

hint: [imath]\displaystyle \int u \ dv = uv - \int v \ du[/imath]

 

[khansaheb]

View attachment 37648

Have you used the "hints" provided in the problem statement (u = x and dv = e^x dx) !

What did you get?

Did you follow the advice provided in response #2?

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