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WAEC Further Mathematics 2024 Question 34

Question 34

Integration

The gradient of a curve is given by 3x2 − 8x + 2. If the curve passes through P(0, 4), find the equation of the curve.

  1. A.y = x3 − 4x2 + 2x + 4
  2. B.y = x3 − 4x2 + 2x + 2
  3. C.y = 3x3 − 4x2 + 2x + 4
  4. D.y = 3x3 + 4x2 + 2x − 2
Show the answer and explanation

Answer: A (y = x3 − 4x2 + 2x + 4)

Explanation

Integrating: y = x³ − 4x² + 2x + c. At (0, 4), c = 4.