(a)[5]
Demonstrate that $\int_{1}^{4} \left( \frac{2}{x} + \frac{2}{2x + 1} \right) \, dx = \ln 48$.
(b)[6]
Evaluate $\int \sin 2x (\cot x + 2 \cosec x) \, dx$.
Mathematics 9709 · AS & A Level · Integration
Demonstrate that $\int_{1}^{4} \left( \frac{2}{x} + \frac{2}{2x + 1} \right) \, dx = \ln 48$.
Evaluate $\int \sin 2x (\cot x + 2 \cosec x) \, dx$.
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 $k_1\ln x + k_2\ln(2x+1)$” …