(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex] \int {x}{e^{0.1x}} dx[/tex]

2. Relevant equations

U-substitution, differentiating.

3. The attempt at a solution

We have [tex] \int {x}{e^{0.1x}} dx[/tex]

Let [tex]u = 0.1x[/tex] therefore [tex]du = 0.1 dx[/tex] ==> [tex]dx = 10du[/tex]

Substituting back into the equation and using the fact that [tex]x = 10u[/tex]:

[tex] \int {10u}{e^{u}} 10 du[/tex] = [tex]100 \int {u}{e^u} du[/tex]

At this point I'm stuck. Is there another, simpler method?

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# How do I integrate this?

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