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Determine the exact area of the shaded region, and present your answer in the form $\ln a + b + ce^d$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curves $y = \dfrac{6}{3x + 2}$ and $y = 3e^{-x} - 3$ for x-values from $0$ to $4$. The shaded area lies between the two curves and the lines $x = 0$ and $x = 4$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate $\frac{6}{3x+2}$ so that the result is of the form $k_1\ln(3x+2)$” …
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