(a)[5]
Express $f(x)$ in partial fractions.
(b)[4]
Hence find the exact value of $\int_{-a}^{a} f(x)\,dx$. Present your answer in the form $a(p+\ln q)$, where $p$ and $q$ are rational.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)=\dfrac{x^2+4ax+6a^2}{(x+2a)(x+3a)}$, where $a$ is a positive constant.