Past exam of the year 1 of the computer science course of the University of Oxford / 2017 / Discrete mathematics, continuous mathematics and probability / 5 / a / Solution

Use partial fraction decomposition:Integrating givesThis real antiderivative is valid on each interval avoiding $x=\pm 2$, with its own integration constant. In particular, $I(1)-I(0)=\frac{1}{4}\log 3$.