Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[5]

Show that $\int_6^{16} \frac{6}{2x - 7} \, dx$ equals $\ln 125$.

(b)[3]

Use the trapezium rule with four intervals to estimate $\int_1^{17} \log_{10} x \, dx$, giving your answer correct to 3 significant figures.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate to reach the form $k\ln(2x-7)$” …