The value of integral `int_0^(1/sqrt3) (dx)/((1+x^2)sqrt(1-x^2))` must be (a) `3+2pi` (b) `4-pi (c) 2+pi` (d) none of these

The value of the integral int_0^1sqrt((1-x)/(1+x))dx is (a) pi/2+1 (b) pi/2-1 (c) -1 (d) 1

The value of the integral int_0^(1/2)(1+sqrt(3))/(((x+1)^2(1-x)^6)^(1/4))dx is ______.

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

The value of int_(0)^(pi//2)(dx)/(1+tan^(3)x) is

int_0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logxdx is equal to (a) -pi/2lnpi (b) 0 (c) pi/2ln2 (d) none of these

The value of int_(0)^((pi)/(4))sqrt(1-sin2x)dx is

Evaluate int_0^((pi)/(2))(dx)/(1+sqrt(tanx))

The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))))i s (a) 0 (b) pi/2 (c) pi/3 (d) none of these

The value of the definite integral int_0^(pi/2)(sin5x)/(sinx)dxi s 0 (b) pi/2 (c) pi (d) 2pi