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

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

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

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

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

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

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Evaluate int_(0)^(pi//2) (sqrt(cot x))/(sqrt(cot x) + sqrt(tan x)) dx.