3.32: Definite integral as a single logarithm

0606/11/O/N/22 — Question 8 · 5 marks · Log laws, Exponentials

Find 0a(1x+11x+2)dx\displaystyle\int_{0}^{a}\left(\frac{1}{x + 1} - \frac{1}{x + 2}\right)\mathrm{d}x, where aa is a positive constant. Give your answer, as a single logarithm, in terms of aa.
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