Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[5]

Demonstrate that $\int_{1}^{4} \left( \frac{2}{x} + \frac{2}{2x + 1} \right) \, dx = \ln 48$.

(b)[6]

Evaluate $\int \sin 2x (\cot x + 2 \cosec x) \, dx$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Integrate so that the result has the form $k_1\ln x + k_2\ln(2x+1)$

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