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Question on: JAMB Mathematics - 1999

The diagram above is the graph of y = x2, the shaded area is
A
64 square units
B
128/3 square units
C
64/3 square units
D
32 square units
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Correct Option: C
\(\int_0 ^4 x^2 dx = \left[\frac{1}{3}x^2+C\right]_0 ^4\\ =\frac{1}{3}\times 4^3 - \frac{1}{3}\times 0^3\\ =\frac{64}{3}-0\\ =\frac{64}{3}\)sq units

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