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JAMB Mathematics 2000 Question 34

Question 34

Integration

If the diagram above is the graph y = x2, the shaded area is

Diagram for this question
  1. A.64 square units
  2. B.128/3 square units
  3. C.64/3 square units
  4. D.32 square units
Show the answer and explanation

Answer: C (64/3 square units)

Explanation

The shaded region lies under y = x2 from x = 0 to x = 4. Its area is ∫x2 dx from 0 to 4 = 43/3 = 64/3 square units.