If `f(x)=int(2cos x+1)/((cos x+2)^(2))dx` and f(0)=0, then the value of `6f((pi)/(2))` is equal to

If F(x)=int(x+sin x)/(1+cos x)dx and F(0)=0 then the value of f((pi)/(2)) is

If f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx and f(0)=0, then the value of (2)/(f(2))| is

If F(x)=int((1+sin x)/(1+cos x))dx and F(0)=0 then the value of F(pi/2) is

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

If f(x)=int(sin2x(cos2x-cos4x))/(cos2x(cos2x+cos4x))dx then the value of f((pi)/(3))-f(0) is

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f'(x)=3x^(2)sin x-x cos x x!=0 f(0)=0 then the value of f((1)/(pi)) is

If f'(x)=3x^(2)sin x-x cos x ,x!=0 f(0)=0 then the value of f((1)/(pi)) is

If int_(e)^(x) t f(t)dt=sin x-x cos x-(x^(2))/(2) for all x in R-{0} , then the value of f((pi)/(6)) will be equal to

If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx , then value of (f(0)-f(pi)+(9pi)/2) is