Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram illustrates a section of the curve $y = \frac{6}{2x + 3}$. The shaded area is enclosed by the curve together with the lines $x = 6$ and $y = 2$.
(main)[5]

Determine the exact area of the shaded region, and give your answer in the form $a - \ln b$, where $a$ and $b$ are integers.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the integration to obtain a result in the form $k\ln(2x+3)

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