" 25) "int(sin x cos x)/(sqrt(1-sin^(4)x))dx=f(x)+c*" find the value of "f((pi)/(2))times(12)/(pi)

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

int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=tan^(-1) (f(x))+c," then "f((pi)/(3))=

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

If f(x)=cos x+sin x . find f ((pi)/(2)) .

If f(x)=int_((x^(2))/(16))^(x^(2))(sin x sin sqrt(theta))/(1+cos^(2)sqrt(theta))d theta, then find the value of f'((pi)/(2))^((16)/(16))

If f(x)=cos x+sin x, find f((pi)/(2))

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

For x in(0, (pi)/(2)) If int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then [f((pi)/(4))] = ( where [.] denotes G.I.F )

For x in [0, (pi)/(2)] if int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then f((pi)/(4)) = (where[.] denotes I F)

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