Question on: JAMB Mathematics - 2000

If the diagram is the graph of y = x2, the shaded area is
A
64 square units
B
\(\frac{126}{4}\) square units
C
32 square units
D
\(\frac{64}{3}\) square units
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Correct Option: D

A = (\int^{x = 4}{x = 0}) ydx = (\int^{4}{0}) x2dx = [(\frac{x^3}{3} + c]^{4}_{0})

= (\frac{64}{3}) square units

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