Question 40


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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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