Evaluate the Integral by Reversing the Order of Integration $\int _ { 0 } ^ { 1 } \int _ { \arcsin y } ^ { \pi / 2 } 8 \cos x \sqrt { 1 + \cos ^ { 2 } x } d x d y$

Short Answer

Evaluate the integral by reversing the order of integration. $\int _ { 0 } ^ { 1 } \int _ { \arcsin y } ^ { \pi / 2 } 8 \cos x \sqrt { 1 + \cos ^ { 2 } x } d x d y$