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JAMB Mathematics 1995 Question 40

Question 40

Integration

Two variables x and y are such that dy/dx = 4x − 3 and y = 5 when x = 2. Find y in terms of x.

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

Answer: B (2x2 − 3x + 3)

Explanation

Integrate: y = 2x² − 3x + c. When x = 2, y = 5: 8 − 6 + c = 5, so c = 3 and y = 2x² − 3x + 3.