Evaluate the integral ? int pi (cos (2pix))/(sin(2pix)) dx Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Steve M Oct 2, 2017 int \ pi (cos (2pix))/(sin(2pix)) \ dx = 1/2 ln |sin2pix| + C Explanation: int \ pi (cos (2pix))/(sin(2pix)) \ dx = pi \ int \ cot (2pix) \ dx " " = pi \ (ln |sin2pix|)/(2pi) + C " " = 1/2 ln |sin2pix| + C Answer link Related questions What is the difference between definite and indefinite integrals? What is the integral of ln(7x)? Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not? How do you find the integral of x^2-6x+5 from the interval [0,3]? What is a double integral? What is an iterated integral? How do you evaluate the integral 1/(sqrt(49-x^2)) from 0 to 7sqrt(3/2)? How do you integrate f(x)=intsin(e^t)dt between 4 to x^2? How do you determine the indefinite integrals? How do you integrate x^2sqrt(x^(4)+5)? See all questions in Definite and indefinite integrals Impact of this question 2833 views around the world You can reuse this answer Creative Commons License