JAMB Mathematics 2002 Question 7

Question 7

Integration

If dy/dx = 2x − 3 and y = 3 when x = 0, find y in terms of x.

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

Answer: D (x2 − 3x + 3)

Explanation

Integrating gives y = x2 − 3x + k. Since y = 3 when x = 0, k = 3.