(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Convert the following integrals into polar coordinates and then calculate them.

a) int(0 , 2^(1/2)) int(y, [(4-y^2)^1/2]) xydxdy .

2. Relevant equations

x = rcostheta

y = rsintheta

r = (x^2 + y^2)^(1/2)

3. The attempt at a solution

Would it simply be:

int(0 , 2^(1/2)) int(rsintheta, [(4-(rsintheta)^2)^1/2]) r^2sinthetacostheta r dr dtheta

Is that all I have to do to convert it? I know how to integrate..I just need a bit of help with converting it into polar coordinates.

Thanks.

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# Homework Help: Convert the integral into polar coordinates

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