MYTUTOR SUBJECT ANSWERS

27 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

2 weeks ago

Answered by Laura, an A Level Maths tutor with MyTutor

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

175 SUBJECT SPECIALISTS

£20 /hr

Viktoriya L.

Degree: accounting and finance (Bachelors) - LSE University

Subjects offered: Maths, Russian+ 5 more

Maths
Russian
Mandarin
History
Economics
Accounting
-Personal Statements-

“Hello, My name is Viktoriya. I am a first year student at the London school of Economics and Poliical science studying accounting and finance. I am passionate about maths and finance in particular and wish to convey this passion to yo...”

£22 /hr

Jonathan P.

Degree: Physics (Masters) - Durham University

Subjects offered: Maths, Physics

Maths
Physics

“About Me: I am a Physics student at Durham University. My passion is physics, and by association maths, I will aim to instil asimilar passion in students during my tutorials. I am a highly patient and approachable individual.  I have...”

£20 /hr

Sarah M.

Degree: Chemistry (Doctorate) - Bristol University

Subjects offered: Maths, Science+ 2 more

Maths
Science
French
Chemistry

“Who am I?I am a French PhD student in chemistry at the university of Bristol. As far as I remember I have always been fascinated by sciences and I ldo ove sharing this passion by helping students.Tutoring is to my eyes extremely re...”

About the author

£20 /hr

Laura P.

Degree: Natural Sciences (Masters) - Lancaster University

Subjects offered: Maths

Maths

“Hi! I'm Laura, a Natural Scientist at Lancadter University, where I study Maths and Phyiscs. I have such a passion for these subjects that I hope my tutorials will be both engaging and interactive, because the best way of learning is ...”

MyTutor guarantee

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

Differentiate x^3(sinx) with respect to x

If n is an integer such that n>1 and f(x)=(sin(n*x))^n, what is f'(x)?

Find f'(x) and f''(x) when f(x) = 3x^2 +7x - 3

Find the area of the region, R, bounded by the curve y=x^(-2/3), the line x = 1 and the x axis . In addition, find the volume of revolution of this region when rotated 2 pi radians around the x axis.

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