Evaluate `int_0^(pi//2) (4sinx+cosx)/(sinx+cosx)dx`

Evaluate int_0^(pi//2) (sinx+4cosx)/(sinx+cosx)dx

Evaluate int_0^(pi//2) (2sinx+3cosx)/(sinx+cosx)dx

Evaluate int_0^(pi//2) (sinx)/((sinx)+(cosx)) dx

Evaluate : int_0^(pi/2) (sin^2x)/(sinx+cosx)dx .

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx