Indefinite integrals

**OpaqueCheshire** · February 10th 2009, 07:45 PM

I have a couple problems due tomorrow where you take r'(t) to solve for r(t) using r(0), but I'm having difficulty solving a portion of the problem. Concept-wise I'm asking with help finding the indefinite integral of t*e^t with respect to t. It's likely something simple that I overlooking, but I'd appreciate the help.

**Jhevon** · February 10th 2009, 07:50 PM

Originally Posted by OpaqueCheshire

I have a couple problems due tomorrow where you take r'(t) to solve for r(t) using r(0), but I'm having difficulty solving a portion of the problem.

we can't help you if you don't post what you're having problems with

Concept-wise I'm asking with help finding the indefinite integral of t*e^t with respect to t. It's likely something simple that I overlooking, but I'd appreciate the help.

for $\int t e^t~dt$ , the conventional way is to use integration by parts. recall the formula: $\int u ~dv = uv - \int v~du$

here, let $u = t$ and $dv = e^t~dt$

**OpaqueCheshire** · February 10th 2009, 07:52 PM

Thank you. I knew there was something I was forgetting.

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