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int(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x...

`int_(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx`

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To solve the integral \[ I = \int_{0}^{\frac{\pi}{2}} \frac{\sin^{\frac{3}{2}} x}{\sin^{\frac{3}{2}} x + \cos^{\frac{3}{2}} x} \, dx, \] we can utilize the property of definite integrals which states that ...
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