Find the integral of the function y = ln(x)

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integral(1)= xln(x) - x + C

AN
Answered by Anton N. Maths tutor

3343 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.


Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis


If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.


Solve simultaneously: x + y + 3 = 0 and y = 2x^2 +3x - 1


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