A pi B -pi C) 0 D pi/2

int_0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these

The value of the integral int_(-pi)^(pi)(cos^(2)x)/(1+a^(x))"dx" , where a gt 0 , is - (A) pi (B) api (C) pi/2 (D) 2pi

If int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx , then A is (A) pi/2 (B) pi (C) 0 (D) 2pi

If veca,vecb,vecc are unit vectors such that veca is perpendicular to vecb and vecc and |veca+vecb+vecc|=1 then the angle between vecb and vecc is (A) pi/2 (B) pi (C) 0 (D) (2pi)/3

The period of cos(theta/2) is (A) 2 pi (B) 4 pi (C) pi (D) 6 pi

int_-1^1 sin^-1(x/(1+x^2))dx= (A) pi/4 (B) pi/2 (C) pi (D) 0

The value of int_(-pi/2)^(pi/2) (sin^2x)/(1+2^x)dx is: (A) pi (B) pi/2 (C) 4pi (D) pi/4

int_0^(2pi) e^(sin^2nx) tannxdx= (A) 1 (B) pi (C) 2pi (D) 0

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

int_0^(pi//2)sin2xlogtanx\ dx\ is equal to pi//2 b. pi c. 0 d. 2pi