Evaluate the integral $\int _ { 0 } ^ { \frac { \pi } { 2 } } \int _ { - \sin ( x ) } ^ { \sin ( x ) } \cos ( \cos ( x ) ) d y d x$

Name: Evaluate the integral $\int _ { 0 } ^ { \frac { \pi } { 2 } } \int _ { - \sin ( x ) } ^ { \sin ( x ) } \cos ( \cos ( x ) ) d y d x$
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The Answer of Evaluate the integral $\int _ { 0 } ^ { \frac { \pi } { 2 } } \int _ { - \sin ( x ) } ^ { \sin ( x ) } \cos ( \cos ( x ) ) d y d x$

Evaluate the Integral ∫0π2∫−sin⁡(x)sin⁡(x)cos⁡(cos⁡(x))dydx\int _ { 0 } ^ { \frac { \pi } { 2 } } \int _ { - \sin ( x ) } ^ { \sin ( x ) } \cos ( \cos ( x ) ) d y d x∫02π​​∫−sin(x)sin(x)​cos(cos(x))dydx

Evaluate the Integral $\int _ { 0 } ^ { \frac { \pi } { 2 } } \int _ { - \sin ( x ) } ^ { \sin ( x ) } \cos ( \cos ( x ) ) d y d x$