MYTUTOR SUBJECT ANSWERS

517 views

How do I integrate ln(x)

This is an integral many people struggle with, but, with a simple trick it becomes a little more straight forward. We will approach this integral using integration by parts.

But what are the parts?

Well, we can write ln(x) as 1*ln(x).

We choose u=ln(x) and dv=1, so du=1/x and v=x

So the integral ln(x) becomes:

 x*ln(x) – integral(x/x)

Which is:

 x*ln(x)- x + c

Which is our final answer.

Tom M. A Level Further Mathematics  tutor, A Level Maths tutor, GCSE ...

2 years ago

Answered by Tom, an A Level Maths tutor with MyTutor


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

259 SUBJECT SPECIALISTS

Timothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£20 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my years of experience tutoring, we will be able to surpass the grades you want!”

£20 /hr

Elliot D.

Degree: Mathematics (Bachelors) - St. Andrews University

Subjects offered:Maths, Physics

Maths
Physics

“Hi, I'm a 2nd year Computer Science student at St Andrews University. I mainly teach Maths at both GCSE and A-level.”

£20 /hr

Tarryn R.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered:Maths, Further Mathematics + 2 more

Maths
Further Mathematics
Extended Project Qualification
English Literature

“Hi I'm Tarryn, I'm a Maths student with a wide knowledge in Maths and English Literature modules - I pride myself on being flexible, reliable and enthusiastic!”

About the author

Tom M.

Currently unavailable: until

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics + 2 more

Maths
Further Mathematics
.STEP.
-Personal Statements-

“Enthusiastic Warwick maths undergraduate student, looking to help A-level and GCSE students. ”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Find the value of 2∫1 (6x+1) / (6x2-7x+2) dx, expressing your answer in the form mln(2) + nln(3), where m and n are integers.

How do I solve an integration by substitution problem?

Integrate ln(x)/(x^3)

Find the area bounded by the curve x^2-2x+3 between the limits x=0 and x=1 and the horizontal axis.

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