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" 7."quad int(0)^( pi/2)(dx)/(1+tan x)=i...

" 7."quad int_(0)^( pi/2)(dx)/(1+tan x)=int_(0)^( pi/2)(dx)/(1+cot x)=(pi)/(4)

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int_(0)^( pi/2)(dx)/(1+tan^(5)x)

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

int_(0)^(pi//2)(dx)/((1+cot^(3)x))=(pi)/(4)

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

int_(0)^(pi/2)(1)/(1+cot^(4)x)dx=

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

int_(0)^( pi/2)(1)/(1+cot^(2)x)dx=?

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