MYTUTOR SUBJECT ANSWERS

706 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

354 SUBJECT SPECIALISTS

£26 /hr

Scott R.

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I am currently completing 2 PGCEs in Leeds. I have always had a passion for maths and my objective is to help as many as possible reach their full potential.”

£20 /hr

Madura N.

Degree: Medicine (Other) - Imperial College London University

Subjects offered:Maths, Human Biology+ 5 more

Maths
Human Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Personal Statements-
-Medical School Preparation-

“I'm starting my 4th year of Medicine at Imperial. I have experience working with students and offer insightful tutorials!”

MyTutor guarantee

£20 /hr

Shivani M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Medical School Preparation-

“I graduated with 5 A-levels last year and now study medicine at Exeter. I have mentored GCSE maths students for the last 2 years. I would love to hear from you!”

About the author

Tom M.

Currently unavailable: for regular students

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 dy/dx of the equation (x^3)*(y)+7x = y^3 + (2x)^2 +1 at point (1,1)

f(x)= x^4 - 3x^2 + x^-2 +1. Find f'(x).

How to find the stationary point of y= x^2-108x^(1/2)+16 and determine the nature of the stationary point?

Find the exact solution to: ln(x) + ln(7) = ln(21)

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