`int_0^(pi/2) cos^2 x + sin^2 x dx`

int_0^(pi/2) (a Cos^2x + b Sin^2x)dx

int_0^(pi/2) sin x sin 2x dx

int_(0)^( pi/2)|cos x-sin x|dx

int_(0)^(pi//2)e^(cos^(2)x)sin 2x dx=

Evaluate the following integral: int_0^(pi//2)(cos^2x)/(1+3sin^2x)dx

int_0^(pi//2) x^2 cos 2x dx

int_(0)^(pi//2) x sin x cos x dx

If int_(0)^(pi/2) f ( sin2 x ) sin x dx = A int_(0)^(pi/4) f ( cos 2 x ) cos x dx then the value of A is ( sqrt2 = 1.41)