Tim Gan Math
Sign up free

Techniques of Integration - Integration Using Partial Fractions

Techniques of Integration - Integration Using Partial Fractions

IP 4
  1. Express \(\frac{2x+1}{(x^2+1)(x-2)}\) as the sum of its partial fractions.
  2. Hence find \(\int \frac{2x+1}{(x^2+1)(x-2)} \mathrm{d}x\)

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition

Create a free account to practise similar questions.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition
Answer:(i) \(\dfrac1{x-2}-\dfrac{x}{x^2+1}\). (ii) \(\ln|x-2|-\dfrac12\ln(x^2+1)+C\), on each interval excluding \(x=2\).

Need help? Join our A-Maths tuition classes.

Learn more