By using the properties of definite integrals, evaluate the integrals`int_0^(pi/2)(2logsinx-logsin2x)dx`

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (2log sinx-logsin2x)dx

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

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

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) cos^2x dx

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(2log sin x-log sin2x)dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) cos^2x dx

By using the properties of definite integrals, evaluate the integrals int_0^(2pi)cos^5x dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2)x(2-x)dx

By using the properties of definite integrals, evaluate the integral: int_0^(2pi) (cos^5x)dx