Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[2]

Calculate $\int 4e^{-\frac{1}{2}x} \, dx$.

(b)[5]

Show that $\int_1^3 \frac{6}{3x - 1} \, dx$ evaluates to $\ln 16$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtain the integral of $k e^{-\frac{1}{2}x}$ for any non-zero $k$.

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