passwella.
Menu

WAEC Further Mathematics 2025 Question 15

Question 15

Integration

Given that d2y/dx2 = x − 1, y′(1) = 5 and y(0) = 6, find y(x).

  1. A.x2/2 − x + 11/2
  2. B.x3/2 − x2/2 + 11x/2 + 5
  3. C.x3/6 − x2/2 + 11x/2 + 6
  4. D.x2/6 − x + 6
Show the answer and explanation

Answer: C (x3/6 − x2/2 + 11x/2 + 6)

Explanation

dy/dx = x²/2 − x + c; y′(1) = 5 gives c = 11/2. Then y = x³/6 − x²/2 + 11x/2 + d, and y(0) = 6 gives d = 6.