WAEC Further Mathematics 2012 Question 14

Question 14

Integration

Evaluate ∫−23 (3x2 − 2x − 12) dx.

  1. A.−30
  2. B.−18
  3. C.−6
  4. D.6
Show the answer and explanation

Answer: A (−30)

Explanation

∫ = [x3 − x2 − 12x] from −2 to 3 = (27 − 9 − 36) − (−8 − 4 + 24) = −18 − 12 = −30.