(a)[5]
Show that $\int_{1}^{6} \frac{12}{3x + 2} \, dx = \ln 256$.
(b)[6]
Determine the exact value of $\int_{0}^{\frac{\pi}{6}} (8 \sin^2 x + \tan^2 2x) \, dx$, with all working shown.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate to arrive at an expression of the form $k\ln(3x+2)$” …
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