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

Evaluate int_0^(pi/4) dx/(cos^2x + 4sin^2x)

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

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

Evaluate: int_0^pi x/(a^2cos^2x+b^2sin^2x)dx

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

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

Evaluate: int_0^pi x/(a^2cos^2x+b^2sin^2x)^2dx

int_0^pi (cos^2x)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)