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m^(2)A+quad " (iii) "quad int(0)^( pi/2)...

m^(2)A+quad " (iii) "quad int_(0)^( pi/2)(dx)/(1+cot x)

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

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

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

int_(0)^((pi)/(2n))(dx)/(1+Cot^(n)nx)=

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

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

int_(0)^(pi//2) ln (tan x+ cot x)dx=

int_(0)^( pi/2)log[tan x*cot x]dx

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