How do you integrate a fraction when x is on the numerator and denominator?

Firstly, ensure both numerator and denominator are factorised fully so that any possible cancellations can happen - making it easy for yourself is always a good idea. Now, turn it into partial fractions. If the denominator is a quadratic, remember to put the fractions into the form: A + B/(x+a) + C/(x+b)Once done, give each fraction its own integral, ensuring to keep the same operations in front of each fraction. Now integrate them separately - the fractions will all integrate to ln as the numerator is a differential of the denominator multiplied by a constant. After this, add +c to the end and the problem is solved!

JW
Answered by Jack W. Maths tutor

5961 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express 2 cos x – sin x in the form Rcos( x + a ), where R and a are constants, R > 0 and a is between 0 and 90 ° Give the exact value of R and give the value of to 2 decimal places.


How can I try and solve this differentiation, I don`t understand it?


show that f(x)=cos(x) is even and what is its graphical property


Points P and Q are situated at coordinates (5,2) and (-7,8) respectively. Find a) The coordinates of the midpoint M of the line PQ [2 marks] b) The equation of the normal of the line PQ passing through the midpoint M [3 marks]


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences