WAEC Further Mathematics 2018 Question 27

Question 27

Integration

Evaluate ∫½1 (x3 − 4)/x3 dx.

  1. A.−5.5
  2. B.−2.0
  3. C.2.0
  4. D.5.5
Show the answer and explanation

Answer: A (−5.5)

Explanation

∫(1 − 4x⁻³) dx = x + 2/x². From ½ to 1: (1 + 2) − (½ + 8) = −5.5.