MYTUTOR SUBJECT ANSWERS

170 views

Find the integral of log|x| by integration by parts

The question says to use integration by parts on this question, but at the minute we only have one variable.

Therefore, we introduce a 1, so that log|x|= 1*log|x|, here we have not altered the value of the function, but have intoduced a variable so that integration by parts can be used.

The derivative of Log|x| is simply 1/x, so it will be the 1 that we will integrate, which is x.

We then sub these into the by parts formula of uv-∫u'v

This is therefore equal to xlog|x|-∫x/x.dx

=xlog|x|-∫1dx

=xlog|x|-x.

Laura P. GCSE Maths tutor, A Level Maths tutor, GCSE Physics tutor

4 months ago

Answered by Laura, an A Level Maths tutor with MyTutor


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

295 SUBJECT SPECIALISTS

£20 /hr

James C.

Degree: Theoretical Physics (Masters) - Durham University

Subjects offered:Maths, Physics

Maths
Physics

“About Me: I'm a physics student in my fourth year at Durham University. I have always loved the neatness and completeness of science and maths, and this is something that I want to help other people to discover. I have previously tuto...”

£20 /hr

Alex W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi i'm Alex. I am currently a first year Maths student at Warwick University, and can tutor you in Maths, Further Maths and Physics at both GCSE and A-Level. I have had plenty of teaching experience before so I can hopefully help you ...”

MyTutor guarantee

£20 /hr

Asha V.

Degree: Civil and Structural Engineering with Architecture (Other) - Sheffield University

Subjects offered:Maths

Maths

“About Me My name is Asha , I’m currently a first year student studying Structural Engineering with Architecture at Sheffield University. My first experience of tutoring was in my first year of college where I volunteered to tutor stu...”

About the author

£22 /hr

Laura P.

Degree: Mathematics (Masters) - Lancaster University

Subjects offered:Maths

Maths

“Hi! I'm Laura, a Maths student at Lancaster. I have such a passion for Maths that I hope my tutorials will be both engaging and interactive, so all can enjoy!”

You may also like...

Posts by Laura

Find the integral of log|x| by integration by parts

Solve the simultaneous equations: 4x+3y=5 and x-y=3, to find the values of x and y.

Other A Level Maths questions

The Curve, C, has equation: x^2 - 3xy - 4y^2 +64 =0 Find dy/dx in terms of x and y. [Taken from Edexcel C4 2015 Q6a]

Express (√5+4)/(√5-2) in the form p+q√5 where p and q are integers.

Find the shortest distance between the line L: x=1+t, y=1+2t, z=1-t and the point A: (2,3,4)

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

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