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Homework Statement
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 .
Homework Equations
x = rcostheta
y = rsintheta
r = (x^2 + y^2)^(1/2)
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.