(i)[5]
Write $f(x)$ as a sum of partial fractions.
(ii)[5]
Hence show that $\int_0^1 f(x) \, dx = \frac{1}{2} \ln \frac{9}{5} + \frac{1}{5}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $f(x) = \dfrac{10x + 9}{(2x + 1)(2x + 3)^2}$.