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Polar Coordinates – Finding integration limits in polar coordinates – Exercise 3992

Exercise

Given the double integral

\int\int_D f(x,y) dxdy

Calculate the integration limits in polar coordinates where D is the domain

a^2\leq x^2+y^2\leq b^2, 0<a<b

Final Answer

\int_0^{2\pi}d\theta\int_a^b f(r\cos\theta,r\sin\theta)\cdot r dr

Solution

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