passwella.
Menu

UI Post-UTME Mathematics 2017 (Model questions) Question 1

Question 1

Integration

If dy/dx = 6x − 3 and y(−1) = 8, find y(x)

  1. A.3x2 − 3x − 8
  2. B.3x2 − 3x + 8
  3. C.3x2 − 3x − 2
  4. D.3x2 − 3x + 2
Show the answer and explanation

Answer: D (3x2 − 3x + 2)

Explanation

Integrating gives y = 3x² − 3x + k; y(−1) = 3 + 3 + k = 8, so k = 2.