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JAMB Mathematics 2018 Objective — Question 31

Question 31 of 39 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

Given that dy/dx=6x−3 and y(−1)=8, find y(x) in terms of x

A. 3x²−3x+2Correct
B. 3x²+3x−2
C. 3x²−3x−2
D. 3x²+3x+2

Explanation

Integrating: y=3x²−3x+k. Using y(−1)=8: 3+3+k=8 → k=2. So y=3x²−3x+2.

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