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OAU Post-UTME Mathematics 2013 Question 15

Question 15

Integration

Integrate 4x3 + 1/x with respect to x

  1. A.ln x + x4 + k
  2. B.x − 1 + x4 + k
  3. C.12x2 − x−2 + k
  4. D.(1/5)x5 + x−2 + k
Show the answer and explanation

Answer: A (ln x + x4 + k)

Explanation

∫4x³ dx = x⁴ and ∫1/x dx = ln x, so the answer is ln x + x⁴ + k.