Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a(i))[3]

Find $\int \frac{e^{2x} + 6}{e^{2x}}\, dx$.

(a(ii))[3]

Find $\int 3\cos^2 x \, dx$.

(b)[3]

Use the trapezium rule with $2$ intervals to estimate $\int_1^2 \frac{6}{\ln(x + 2)}\, dx$, and give your answer correct to $2$ decimal places.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Divide by $e^{2x}$ and proceed to integrate the two terms

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