Question 7
IntegrationIf dy/dx = 2x − 3 and y = 3 when x = 0, find y in terms of x.
- A.2x2 − 3x
- B.x2 − 3x
- C.x2 − 3x − 3
- 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.