MYTUTOR SUBJECT ANSWERS

561 views

How do you solve the integral of ln(x)

This will use the process of integration by parts.

First, notice that ln(x)=ln(x)*1.

So, the integral of ln(x) is the integral of ln(x)*1. The process of integration by parts is;  int(v*du/dx)dx=vu - int(dv/dx*u)dx.

Set ln(x)=v, 1=du/dx, so int(ln(x)*1)dx = ln(x)*x - int(1/x*x)dx = x*ln(x)-int(1)dx = x*ln(x)-x+constant.

And you're done!

Yaniv P. GCSE Maths tutor, GCSE Physics tutor, GCSE Further Mathemati...

2 years ago

Answered by Yaniv, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

253 SUBJECT SPECIALISTS

£22 /hr

Amilah C.

Degree: Physics with a year abroad (Masters) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Hi there, welcome to me page! About Me: I am currently studying Physics at the University of Edinburgh. From a young age, science has always been a passion of mine, and hopefully I can convey this in my tutorials. Previously, I found...”

PremiumImogen W. GCSE Chemistry tutor, GCSE Maths tutor, A Level Chemistry t...
£30 /hr

Imogen W.

Degree: Chemistry (Masters) - University College London University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“I am very enthusiastic and patient. I want my students to be able to understand their studies so that they can enjoy them as much as I do.”

£30 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

About the author

Yaniv P.

Currently unavailable: until 22/12/2015

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“First year Maths undergraduate at the University of Bristol. Looking to tutor Maths and Physics at GCSE and A-Level.”

MyTutor guarantee

You may also like...

Posts by Yaniv

Finding the derivative of a polynomial.

How do you invert a 2x2 matrix?

How do you solve the integral of ln(x)

How to determine the number of unique real roots of a quadratic equation.

Other A Level Maths questions

Find the gradient of a curve whose parametric equations are x=t^2/2+1 and y=t/4-1 when t=2

find f'(x) of (x^2) + 3x + 2.

Find the equation of the straight line that passes through the points (1,2) and (2,4)

How to integrate ln(x)

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok