3
$\begingroup$

How to evaluate the following integral? $\iint \exp\left(\sqrt{x^2+y^2} \right)\:dx\:dy$

I'm trying to integrate this using substitution and integration by parts but I keep getting stuck.

  • 0
    This is tagged [tag:indefinite-integral]. What do you mean by an indefinite *double* integral? Do you really want a definite integral? If so, what would be its domain?2013-11-25

1 Answers 1

10

If you switch to polar coordinates, you end out integrating $re^r \,dr \,d\theta$, which you should be able to integrate over your domain by doing the $r$ integral first (via integration by parts).

  • 0
    Yeah, I just noticed that it was retagged by Harry Peter. Sorry. I have removed that tag.2013-11-25