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JAMB Mathematics 2006 Question 13

Question 13

Integration

If dy/dx = x + cos x, find y.

  1. A.x2 − sin x + c
  2. B.x2 + sin x + c
  3. C.x2/2 − sin x + c
  4. D.x2/2 + sin x + c
Show the answer and explanation

Answer: D (x2/2 + sin x + c)

Explanation

Integrate each term: ∫x dx = x2/2 and ∫cos x dx = sin x, plus a constant.