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

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

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Statement-1: int_(0)^(pi//2) (1)/(1+tan^(3)x)dx=(pi)/(4) Statement-2: int_(0)^(a) f(x)dx=int_(0)^(a) f(a+x)dx

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Prove that: int_(0)^(pi//2) (1)/(1+tan^(3)x)=(pi)/(4)

Prove that: int_(0)^(pi//2) (1)/(1+tan^(3)x)=(pi)/(4)

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