MYTUTOR SUBJECT ANSWERS

372 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

183 SUBJECT SPECIALISTS

£20 /hr

Jaisal P.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hello, my name is Jaisal. I'm studying Maths at Durham University, and I'm here to help you improve your Maths. ”

£24 /hr

Joe M.

Degree: Biology (Bachelors) - Durham University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Chemistry
Biology

“Second year Biology student tutoring science and maths in a relaxed and friendly environment”

£24 /hr

Oliver R.

Degree: Economics and Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About Me:I'm currently an undergraduate at the University of Bristol studying Economics & Mathematics (Joint Honours). I am one of those few who havea genuine love of studying Maths and hope that enthusiasm will help you in tutorials...”

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 D when 8x^3-12x^2-2x+D is divided by 2x+1 when the remainder is -2

How do I multiply two matrices together?

Solve equation 1/x + x^3 + 5x=0

How do you factorise a quadratic equation?

View A Level Maths tutors

Cookies:

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

mtw:mercury1:status:ok