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OAU Post-UTME Mathematics 2021 (Batch B) Question 17

Question 17

Integration

Evaluate ∫12(2x2 − 3x + 5)dx.

  1. A.31/6
  2. B.65/8
  3. C.13/12
  4. D.33/55
Show the answer and explanation

Answer: A (31/6)

Explanation

Integral is 2x³/3 − 3x²/2 + 5x. At 2: 16/3 + 4 = 28/3. At 1: 2/3 + 7/2 = 25/6. Difference = 56/6 − 25/6 = 31/6.