Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

It is given that $\int_{0}^{a} 4e^{\frac{1}{2}x + 3} \, dx = 835$.
(main)[5]

Find the constant $a$ correct to $3$ significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: After integrating, reach a form $ke^{\frac12 x+3}$, where $k$ is a constant different from $4$.

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