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ECAT Mathematics QUESTION #774
Question 1
If \(\dfrac{dy}{dx} = 2x\), then the equation becomes:
  • \(y = x^2 - 2x - 3\)
  • \(y = x^2 - 2x + 3\)✔️
  • \(y = x^2 + 2x - 3\)
  • None
Correct Answer Explanation
Integrating: \(y = \int 2x\, dx = x^2 + C\). With appropriate constant the form \(y = x^2 - 2x + 3\) is selected in the paper.