WAEC Further Mathematics 2023 Question 34

Question 34

Integration

Evaluate: ∫(2x + 1)3 dx.

  1. A.8(2x + 1)2 + k
  2. B.6(2x + 1)2 + k
  3. C.⅙(2x + 1)4 + k
  4. D.⅛(2x + 1)4 + k
Show the answer and explanation

Answer: D (⅛(2x + 1)4 + k)

Explanation

∫(2x + 1)³ dx = (2x + 1)⁴/(4 × 2) + k = ⅛(2x + 1)⁴ + k.