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36/piint(pi//6)^(pi//3)(dx)/(1+sqrt(cotx...

`36/piint_(pi//6)^(pi//3)(dx)/(1+sqrt(cotx))` equals to

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

int_(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))

Statement I: The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to (pi)/6 . Statement II: int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

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int_(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?

Statement-1: The value of the integral int_(pi//6)^(pi//3) (1)/(sqrt(tan)x)dx is equal to (pi)/(6) Statement-2: int_(a)^(b) f(x)dx=int_(a)^(b) f(a+b-x)dx

Evaluate the following : int_(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx