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)(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)^(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))cos^(2)xdx

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)^(4)abs(x-1)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(cos^(6)xdx)/(sin^(6)x+cos^(6)x)

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