Jambmaths question:
If the diagram above is the graph of y = x2, the shaded area is
Option A:
64square units
Option B:
$\tfrac{128}{3}\text{square units}$
Option C:
32 square units
Option D:
$\tfrac{64}{3}\text{square unit}$
Jamb Maths Solution:
$\begin{align} & A=\int_{0}^{4}{{{x}^{2}}dx}-\int_{0}^{4}{16dx}=\left[ \frac{{{x}^{3}}}{3} \right]_{0}^{4}-[16x]_{0}^{4} \\ & A=\frac{64}{3}-64=-\frac{128}{3}sq.unit \\ & \text{ignore the negative sign}\text{.} \\\end{align}$
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