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If the diagram is the graph of y = x\(^2\), the shaded area is

Mathematics
JAMB 2000

If the diagram is the graph of y = x\(^2\), the shaded area is

  • A. 64 square units
  • B. \(\frac{128}{3}\) square units
  • C. 32 square units
  • D. \(\frac{64}{3}\) square units
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Correct Answer: Option B
Explanation

A = \(\int^{x = 4}_{x = 0}\) ydx = \(\int^{4}_{0}\)16 -  x\(^2\)dx = [16 - \(\frac{x^3}{3} + c]^{4}_{0}\)

= \(\frac{128}{3}\) square units

There is an explanation video available below.


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Explanation Video

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