Integrate Multivariable Function using polar co-ords

Hello,

Trying to solve this,

Over the reigon A, where A is

I've attempted to work out initially what the limits a,b,c,d are. Would I be correct in thinking these were 0, sqrt(pi/2), 0, sqrt(pi/2)?

Then I'm struggling to convert these limits into polar form.

Thank you!

Re: Integrate Multivariable Function using polar co-ords

We have:

So, the integral is

Re: Integrate Multivariable Function using polar co-ords

Thanks for the response, could you please explain why

Quote:

Originally Posted by

**FernandoRevilla**

?

Thank you!

Re: Integrate Multivariable Function using polar co-ords

Sketch the quarter of circle: fixing , varies from to .

Re: Integrate Multivariable Function using polar co-ords

Quote:

Originally Posted by

**MattWT** Hello,

Trying to solve this,

Over the reigon A, where A is

I've attempted to work out initially what the limits a,b,c,d are. Would I be correct in thinking these were 0, sqrt(pi/2), 0, sqrt(pi/2)?

Then I'm struggling to convert these limits into polar form.

Thank you!

You have an integral of the form **only** if the region of integration is a rectangle!