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JAMB Mathematics 1994 Question 41

Question 41

Integration

Integrate (1 − x)/x3 with respect to x.

  1. A.(x − x2)/x4 + k
  2. B.4/x4 − 3/x3 + K
  3. C.1/x − 1/(2x2) + k
  4. D.1/(3x2) − 1/(2x) + k
Show the answer and explanation

Answer: C (1/x − 1/(2x2) + k)

Explanation

Split it: x−3 − x−2. Integrating gives x−2/(−2) − x−1/(−1) = −1/(2x²) + 1/x, plus a constant.