By using the properties of definite integrals, evaluate the integrals
`int_(0)^((pi)/(4))log(1+tanx)dx`

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi)log(1+cosx)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))cos^(2)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(4)abs(x-1)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi)(xdx)/(1+sinx)

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi)(xdx)/(1+sinx)

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))sin^(2)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2pi)cos^(5)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)cos^(2)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(2logsinx-logsin2x)dx