9709 P33 - Jun 2014 - Q8
2107
Let \(f(x) = \frac{6 + 6x}{(2-x)(2+x^2)}\).
(i) Express \(f(x)\) in the form \(\frac{A}{2-x} + \frac{Bx+C}{2+x^2}\).
(ii) Show that \(\int_{-1}^{1} f(x) \, dx = 3 \ln 3\).
Solutions locked. Please sign in with access to view them.