MYTUTOR SUBJECT ANSWERS

162 views

find the definite integral between limits 1 and 2 of (4x^3+1)/(x^4+x) with respect to x

first notice the integral is in the form f'(x)/f(x), and indefinite integrals of this form are ln|f(x)|+c.
therefore the integral is [ln|x4+x|] between limits 1 and 2.
subbing in limits gives ln|24+2|-ln|14+1|
simplifying gives ln|18|-ln|2|
and by log rules this is equivalent to ln|18/2|=ln|9|.

Liam N. GCSE Maths tutor, 13 Plus  Maths tutor, IB Maths tutor, A Lev...

7 months ago

Answered by Liam, an A Level Maths tutor with MyTutor

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

180 SUBJECT SPECIALISTS

£20 /hr

Martin L.

Degree: Chemistry (Bachelors) - Warwick University

Subjects offered: Maths, Chemistry

Maths
Chemistry

“About Me: I am currently a third-year student studying Chemistry at the University of Warwick; and have had tutor experience at my secondary school. I take a patient approach to tutoring and believe that a lot of the concepts they tea...”

£20 /hr

Jasmine S.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi, I'm Jasmine and I'm a second year Mathematician at Exeter University, I'm looking to help students prepare for their Maths and Physics exams.”

£26 /hr

Chandni P.

Degree: Discrete Mathematics (Bachelors) - Warwick University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hi I'm a first year Discrete Maths student at University of Warwick and have tutored Maths for over a year! Whether it's exam prep or even just a few questions from homework sheets you might need help with, I'm happy to assist :)”

About the author

£20 /hr

Liam N.

Degree: Mathematics (Masters) - Manchester University

Subjects offered: Maths

Maths

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

MyTutor guarantee

You may also like...

Other A Level Maths questions

Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)

Integrate sinx*ln(cosx) with respect to x.

How can I integrate the function f(x) = x sin(x)?

What is the derivative of ln(x)?

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