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JAMB Mathematics 1998 Question 41

Question 41

Integration

Find the equation of the curve which passes through the point (2, 5) and whose gradient at any point is given by 6x − 5.

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

Answer: D (3x2 − 5x + 3)

Explanation

Integrating, y = 3x² − 5x + c. At (2, 5): 5 = 12 − 10 + c, so c = 3.