(i)[5]
Express $f(x)$ as a sum of partial fractions.
(ii)[5]
Hence show that $\int_1^2 f(x)\,dx = \ln\left(\dfrac{25}{8}\right) - 1$, after simplification.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \dfrac{3x^2 - 4}{x^2(3x + 2)}$.
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