(a(i))[3]
Find $\int \frac{e^{2x} + 6}{e^{2x}} \, dx$.
(a(ii))[3]
Find $\int 3\cos^2 x \, dx$.
(b)[3]
Use the trapezium rule with $2$ intervals to estimate $\int_1^2 \frac{6}{\ln(x + 2)} \, dx$, and give your answer correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Integration
Find $\int \frac{e^{2x} + 6}{e^{2x}} \, dx$.
Find $\int 3\cos^2 x \, dx$.
Use the trapezium rule with $2$ intervals to estimate $\int_1^2 \frac{6}{\ln(x + 2)} \, dx$, and give your answer correct to $2$ decimal places.
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Make an attempt to divide by $e^{2x}$ and to integrate the resulting two terms” …