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JAMB Mathematics 1997 Question 41

Question 41

Integration

Integrate 1/x + cos x with respect to x

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

Answer: B (ln x + sin x + k)

Explanation

∫(1/x)dx = ln x and ∫cos x dx = sin x, so the result is ln x + sin x + k.