MYTUTOR SUBJECT ANSWERS

486 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

264 SUBJECT SPECIALISTS

£36 /hr

James G.

Degree: Mathematical Physics (Doctorate) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.STEP.

“Currently a 3rd year PhD student in Mathematical Physics. I'm very passionate about teaching as well as my subject area. Look forward to hearing from you.”

MyTutor guarantee

£22 /hr

Chris S.

Degree: Psychology (Bachelors) - Nottingham University

Subjects offered:Maths, Psychology+ 1 more

Maths
Psychology
-Personal Statements-

“*Over 25 completed MyTutor school tutorials* I am a reliable and enthusiastic maths and psychology tutor.”

£26 /hr

Chloe W.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“About Me:I'm Chloe and I'm a 2nd year maths student at Bristol university. I've always enjoyed working with numbers and I hope that I can encourage others to love working with them too!I've tutored both of my siblings through their...”

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

Differentiate y = 4ln(x)x^2

How to solve the absolute-value inequalities?

Find dy/dx when y = x^2(cos(x)).

How do you integrate by parts?

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