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Evaluate int(pi//6)^(pi//3) ((1)/(1+sqrt...

Evaluate `int_(pi//6)^(pi//3) ((1)/(1+sqrtcotx` dx

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Evaluate int_(pi//6)^(pi//3) ((1)/(1+sqrttanx dx

Evaluate int_(pi//6)^(pi//3) ((1)/(1+sqrttanx) dx

Prove that the value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(cot x)) is pi//6 .