Polar Coordinates – Finding integration limits in polar coordinates – Exercise 3997

Exercise

Given the double integral

$\int\int_D f(x,y) dxdy$

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

$\{(x,y)|1\leq x\leq 2,x\leq y\leq\sqrt{3}x\}$

Final Answer

$\int_{\frac{\pi}{4}}^{\frac{\pi}{3}}d\theta\int_{\frac{1}{\cos\theta}}^{\frac{2}{\cos\theta}} f(r\cos\theta,r\sin\theta)\cdot r dr$

Solution

Coming soon…

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