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" (ii) "int(0)^( pi/2)(dx)/(1+cot x)...

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

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

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

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

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

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

if int_(0)^( pi/2)(cot x)/(cot x+cos ecx)dx=m(pi-n) then the value of mn is

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

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

If int_(0)^( pi/2)(cot x)/(cot x+cos ecx)dx=m(pi+n) then m*n is equal to :