(a)[4]
Find the area enclosed by region $A$.
(b)[5]
Find the area enclosed by region $B$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram presents the curve given by $y = 4\sqrt{3x + 4} - 2x - 6$ for $x$ values satisfying $0 \leq x \leq 7$. The tangent drawn to the curve at $P(7, 0)$ intersects the $y$-axis at $Q$. Region $A$ is enclosed by the curve and the two axes. Region $B$ is enclosed by the curve, the line segment $PQ$ and the $y$-axis.