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" (vi) "int(pi/6)^( pi/3)(dx)/(1+sqrt(co...

" (vi) "int_(pi/6)^( pi/3)(dx)/(1+sqrt(cot x))

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(36)/(pi)int_(pi/6)^( pi/3)(dx)/(1+sqrt(cot x)) equals to

int_(pi//6)^(pi//3) (dx)/(1 + sqrt(tan x)) =

int_(pi/6)^(pi/3) 1/(1+sqrt(cot x ))d x

Prove that the value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(cot x)) is pi//6 .

Evaluate int_(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

Evaluate int_(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

int_(pi/6)^( pi/3)sin(3x)dx