- #1
utkarshakash
Gold Member
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- 13
Homework Statement
Evaluate the integral by changing into polar coordinates.
[itex] \displaystyle \int_0^{4a} \int_{y^2/4a}^y \dfrac{x^2-y^2}{x^2+y^2} dx dy [/itex]
The Attempt at a Solution
Substituting x=rcos theta and y=rsin theta , the integrand changes to [itex]cos 2 \theta r dr d \theta [/itex] . I know that the region of integration is the area bounded by parabola y^2=4ax and y=x. However, I don't know the limits of r and theta.