(a)[2]
Calculate $\int 4e^{-\frac{1}{2}x} \, dx$.
(b)[5]
Show that $\int_1^3 \frac{6}{3x - 1} \, dx$ evaluates to $\ln 16$.
Mathematics 9709 · AS & A Level · Integration
Calculate $\int 4e^{-\frac{1}{2}x} \, dx$.
Show that $\int_1^3 \frac{6}{3x - 1} \, dx$ evaluates to $\ln 16$.
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain the integral of $k e^{-\frac{1}{2}x}$ for any non-zero $k$.” …