9709 P32 - Mar 2021 - Q6
2124
Let \(f(x) = \frac{5a}{(2x-a)(3a-x)}\), where \(a\) is a positive constant.
(a) Express \(f(x)\) in partial fractions.
(b) Hence show that \(\int_a^{2a} f(x) \, dx = \ln 6\).
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