What is int ln(lnx)/x dx? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Sasha P. Nov 6, 2015 lnxln(lnx)-lnx+C Explanation: lnx=t => 1/xdx=dt int (ln(lnx))/xdx=int lntdt lnt=u => du=dt/t dt=dv => v=t I=intlntdt = tlnt - inttdt/t=tlnt-intdt = tlnt-t+C I=lnxln(lnx)-lnx+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 1726 views around the world You can reuse this answer Creative Commons License