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JAMB Mathematics 1995 Question 41

Question 41

Integration

Find the area bounded by the curve y = 3x2 − 2x + 1, the ordinates x = 1 and x = 3 and the x-axis

  1. A.24
  2. B.22
  3. C.21
  4. D.20
Show the answer and explanation

Answer: D (20)

Explanation

Area = ∫ from 1 to 3 of (3x² − 2x + 1) dx = [x³ − x² + x] from 1 to 3 = 21 − 1 = 20 square units.