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JAMB Mathematics 1999 Question 33

Question 33

Integration

Find the area bounded by the curve y = x(2 − x), the x-axis, x = 0 and x = 2.

  1. A.4 sq units
  2. B.2 sq units
  3. C.1⅓ sq units
  4. D.⅓ sq units
Show the answer and explanation

Answer: C (1⅓ sq units)

Explanation

Area = ∫₀² (2x − x²) dx = [x² − x³/3]₀² = 4 − 8/3 = 4/3 = 1⅓ square units.