Evaluate the Integral $\int _ { 0 } ^ { 2 } \int _ { - \sqrt { 2 y - y ^ { 2 } } } ^ { \sqrt { 2 y - y ^ { 2 } } } y d x d y$

question 115

Short Answer

Evaluate the integral $\int _ { 0 } ^ { 2 } \int _ { - \sqrt { 2 y - y ^ { 2 } } } ^ { \sqrt { 2 y - y ^ { 2 } } } y d x d y$ by changing to polar coordinates.

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