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Post-UTME Mathematics 2013 Objective — Question 44

Question 44 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

If dy/dx=6x²+15x⁴ and y=7 when x=2, find y

A. 2x³+3x⁵+7
B. 12x+60x²-497
C. 12x+60x²-7
D. 2x³+3x⁵-105Correct

Explanation

Integrating: y=2x³+3x⁵+C. At x=2, y=16+96+C=7 gives C=-105, so y=2x³+3x⁵-105.

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