Evaluate the definite integrals `int0pi/4(sinx+cosx)/(9+16sin2x)dx`

Evaluate the definite integrals int_(0)^((pi)/(4))(sin x+cos x)/(9+16sin2x)dx

Evaluate the definite integrals int_(0)^((pi)/(4))sin2xdx

Evaluate the following integral: int_0^(pi//4)(sin x+cosx)/(3+sin2x)dx

Evaluate the definite integrals int_(0)^((pi)/(4))(sin x cos x)/(cos^(4)x+sin^(2)x)dx

Evaluate the definite integrals int_(0)^((pi)/(4))(tan x)dx

Evaluate the following definite integrals: int_0^(pi//4)(sinx+cosx)/(5+4sin2x)dx

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

Evaluate the definite integrals int_(0)^((pi)/(2))sin2x tan^(-1)(sin x)dx

Evaluate the following definite integrals: int_0^(pi//2)xsinx sin2x dx