3.34: Definite integral equal to ln 5

0606/13/O/N/22 — Question 11 · 6 marks · Log laws, Exponentials

It is given that 1a(3x+212x+11x)dx=ln5\displaystyle\int_{1}^{a}\left(\frac{3}{x + 2} - \frac{1}{2x + 1} - \frac{1}{x}\right)\mathrm{d}x = \ln 5, where a>1a > 1. Find the exact value of aa.
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