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## Main Question or Discussion Point

Hi!

Here's a question I am working on:

Double integral of arctan(y/x).

where R: 1≤x

I have the bounds for r as 1 to 2, but for θ I don't know if I should use ∏/4 to ∏/2 or 0 to ∏/2. How do I know which one?

The integration is easy, but I need help with the bounds.

Thanks.

Here's a question I am working on:

Double integral of arctan(y/x).

where R: 1≤x

^{2}+y^{2}≤4, 0≤y≤x.I have the bounds for r as 1 to 2, but for θ I don't know if I should use ∏/4 to ∏/2 or 0 to ∏/2. How do I know which one?

The integration is easy, but I need help with the bounds.

Thanks.