MYTUTOR SUBJECT ANSWERS

656 views

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

First note that ln(x) = 1*ln(x), this is in the form u*dv/dx.

Let dv/dx = 1 and u = ln(x). 

du/dx = 1/x from the standard results and v = x by integration.

Substituting into the formula

integral(u*dv/dx)dx = uv - integral(v*du/dx)dx we get

Integral(ln(x))dx = x*ln(x) - integral( x/x )dx

                        = x*ln(x) - integral(1)dx

                        = x*ln(x) - x + C

                        = x(ln(x) - 1) + C.

This is written in it's simplest form. Do not worry if you forget about the constant in your C4 exam. Most edexcel mark schemes would still give you full marks for this.                                   

Ryan B. A Level Maths tutor, A Level Further Mathematics  tutor

1 year ago

Answered by Ryan, an A Level Maths tutor with MyTutor


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

352 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.”

Sherin W. A Level Maths tutor, GCSE Maths tutor, GCSE Further Mathema...
£20 /hr

Sherin W.

Degree: Biomedical science (Bachelors) - Sussex University

Subjects offered:Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“For the past 5 years I have been tutoring, individuals to small classes. I am passionate about teaching and think it is an essential part of life and careers.”

MyTutor guarantee

|  2 completed tutorials

Me V. A Level Maths tutor, GCSE Maths tutor, GCSE Physics tutor
£22 /hr

Vaikkun V.

Degree: Electrical and Electronic Engineering (Masters) - Imperial College London University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“I am passionate, motivated, and always hungry for more knowledge. I can bring energy and life to the classroom, and engage the student.”

About the author

£20 /hr

Ryan B.

Degree: Mathematics (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Ryan

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

Other A Level Maths questions

Find the gradient of the line 4x+9y=10.

Show that the derivative of ln(x) = 1/x

Find the value of: d/dx(x^2*sin(x))

Differentiate x^5 + 3x^2 - 17 with respect to 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