WAEC Further Mathematics 2009 Question 20

Question 20

Integration

Evaluate ∫12[(x3 − 1)/x2]dx.

  1. A.0.5
  2. B.1.0
  3. C.1.5
  4. D.2.0
Show the answer and explanation

Answer: B (1.0)

Explanation

The integrand is x − x−2, with antiderivative x2/2 + 1/x. (2 + 1/2) − (1/2 + 1) = 1.