(a)[2]
Find the exact gradient at $B$ on the curve.
(b)[3]
Find the exact area of the shaded part.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates the curve with equation $y = 6e^{-\frac{1}{2}x}$. The points on the curve with $x$-coordinates $0$ and $2$ are labelled $A$ and $B$ respectively. The shaded region is bounded by the curve, the line through $A$ parallel to the $x$-axis and the line through $B$ parallel to the $y$-axis.