`IfA=int_0^pi(cosx)/((x+2)^2)dx ,t h e nint_0^(pi/2)(sin2x)/(x+1)dx` is equal to (a)`1/2+1/(pi+2)-A` (b) `1/(pi+2)-A` (c)`1+1/(pi+2)-A` (d) `A-1/2-1/(pi+2)`

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

int(cos2x)/((e^(-x)+cosx)sqrt(1+sin2x))dx,x in(0,(pi)/(2)) is equal to

Evaluate int_(0)^(pi)(xsinx)/(1+cos^(2)x)dx

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

(lim)_(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) pi/2 (d) 1

G i v e nint_0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integral int_0^(pi/2)(sinx)/(1+sinx+cosx)dx is equal to (a) 1/2log2 (b) pi/2-log2 (c) pi/4-1/2log2 (d) pi/2+log2

The value of int_(-pi//2)^(pi//2)(x^(2)cosx)/(1+e^(x)) d x is equal to

The value of int_(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

lim_(x->1)(1-x^2)/(sin2pix) is equal to (a) 1/(2pi) (b) -1/pi (c) (-2)/pi (d) none of these

Evaluate: int_(-pi/2)^(2pi)sin^(-1)(sinx)dx