Compute the indefinite integral of x^8 ln(3x)dx

Using integration by parts, by substituting ln(3x) as u and x^8 as dv/dx, use the formula to plug in the values and complete the calculation to get (x^9)(ln(3x)-1/9)/9

PP
Answered by Pawel P. Maths tutor

4182 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Derive from the standard quadratic equation, the form of the quadratic solution


Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1


A spherical balloon of radius r cm has volume Vcm^3 , where V =4/3 * pi * r^3. The balloon is inflated at a constant rate of 10 cm^3 s^-1 . Find the rate of increase of r when r = 8.


A) Differentiate ln(x) b) integrate ln(x)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning