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UI Post-UTME Mathematics 2022 (Model questions) Question 10

Question 10

Integration

Integrate with respect to t, (2t3 + 2t)/t

  1. A.2t3/3 − 2t + k
  2. B.2t3/3 + 2t + k
  3. C.t3 − 2t + k
  4. D.t3 + 2t + k
Show the answer and explanation

Answer: B (2t3/3 + 2t + k)

Explanation

Simplify first: (2t³ + 2t)/t = 2t² + 2. Then ∫(2t² + 2)dt = 2t³/3 + 2t + k.