What is the antiderivative of ln(2x)? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Euan S. Jul 11, 2016 Use integration by parts with a dummy function: int uv'dx = uv - int u'vdx u(x) = ln(2x) implies u'(x) = 1/x v'(x) = 1 implies v(x) = x int ln(2x) dx = xln(2x) - int dx = x(ln(2x) - 1) + 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 7693 views around the world You can reuse this answer Creative Commons License