Integrating by changing the order of integration

**nmatthies1** · September 10th 2009, 07:11 AM

I have done the exercise but since I have an exam tomorrow it would be great if someone could check it. here goes:

$\int_{0}^{+\infty} \int_{0}^{x} xe^{\frac {-x^2}{t}} dt dx$ = $\int_{0}^{+\infty} \int_{t}^{\infty} xe^{\frac {-x^2}{t}} dx dt$ = $\int_{0}^{+\infty} \frac{1}{2} e^{-t} dt = \frac {-1}{2}$

**Calculus26** · September 10th 2009, 07:45 AM

Not quite-- you did a great job switching the order of integration but made a mistake in the first integration.

See attachment

**nmatthies1** · September 10th 2009, 09:21 AM

Yes I actually wrote the t down and then read it as a one haha well, i was really only wondering about changing the order of integration, otherwise I'm fine. thanks!

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