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## Homework Statement

f(x,y) = [itex]e^{x^2+y^2}[/itex]

[itex]x^{2}[/itex] + [itex]y^{2}[/itex] ≤ R

## Homework Equations

## The Attempt at a Solution

I believe this is a circle.

[itex]f^{2pi}_{0}[/itex][itex]^{sqrt(R)}_{-sqrt(R)}[/itex][itex]e^{x^2+y^2}[/itex]*r*dr*dθ

= [itex]f^{2pi}_{0}[/itex][itex]f^{sqrt(R)}_{-sqrt(R)}[/itex][itex]e^{r^2}[/itex]*r*dr*dθ

after u substitution...

= [itex]\frac{1}{2}[/itex][itex]f^{2pi}_{0}[/itex][itex]f^{R}_{R}[/itex][itex]e^{u}[/itex]*du

Does this makes sense?

Of course not... r domain are same...