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Evaluate the integral by reversing the order of integration. 1 0 pi/2 cos x^9 + cos 2x dx dy...

Question:

Evaluate the integral by reversing the order of integration.

{eq}\int_{0}^{1}\int_{arcsin y}^{\frac{\pi}{2}} \cos^9 x + \cos 2x {/eq} dx dy

Evaluation Of Iterated Integral


To evaluate the iterated integral we reverse the order of integration. For this we find the region of integration and then change the

limits of x and y accordingly.

Answer and Explanation:


In the given integral y is kept fixed and x ranges from {eq}\sin^{-1}y {/eq} to {eq}\frac{\pi}{2} {/eq}

When the order is reversed x is held...

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