Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`

int_0^(pi/2) (sinx)/(1+Cos^2x)dx

Evaluate the integrals int_(0)^((pi)/(2))(sin x)/(1+cos^(2)x)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(sin x-cos x)/(1+sin x cos x)dx

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

Evaluate the following definite integrals: int_(0)^(pi//2)(1-sinx)/(x+cos x)dx

Integrate : int (1-sinx)/(cos^2x)dx.

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

Evaluate the following integral: int_0^pi(xsinx)/(1+sinx)dx

Evaluate the following integral: int_0^pi(sinx)/(sinx+cosx)dx