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JAMB Mathematics 2007 Question 11

Question 11

Integration

Integrate (x2 − √x)/x with respect to x

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

Answer: A (x2/2 − 2√x + k)

Explanation

Divide first: x − x−½. Integrating gives x2/2 − 2x½ + k.