(a)[4]
Calculate $\displaystyle \int \frac{4 + \sin^2 \theta}{1 - \sin^2 \theta}\, d\theta$.
(b)[4]
Given that $\displaystyle \int_0^a \frac{2}{3x + 1}\, dx = \ln 16$, determine the positive constant $a$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrite the integrand so that it takes the form $a\sec^2\theta + b$” …
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