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int(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos...

`int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)`

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To solve the integral \[ I = \int_{0}^{\frac{\pi}{2}} \frac{\cos^5 x}{\sin^5 x + \cos^5 x} \, dx, \] we can use the property of definite integrals, which states that ...
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