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∫0π2dx(sinx+cosx)4\large \int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { dx }{ {( \sqrt { \sin { x } } + \sqrt { \cos { x } }) }^{ 4 } } } ∫02π(sinx+cosx)4dx
Evaluate the integral above to three decimal places.
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