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int(0)^( pi/2)(1)/(1+tan^(3)x)dx...

int_(0)^( pi/2)(1)/(1+tan^(3)x)dx

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By using the properties of definte, prove that int_(0)^(pi//2)(dx)/(1+tan^(3)x)dx=(pi)/4

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Evaluate the following integral: int_0^(pi//2)1/(1+tan^3x)dx