Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(i)[2]

Find the value of $\int \frac{2}{4x - 1} \, dx$.

(ii)[3]

Hence find $\int_{1}^{7} \frac{2}{4x - 1} \, dx$, giving your answer in the form $\ln a$, where $a$ is an integer.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State an indefinite integral written in the form $k\ln(4x-1)$, with $k=2,4$ or $\tfrac12$.

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