JAMB - Mathematics (2025 - No. 43)
Integrate the function y = 3x\(^2\) + 2x - 5 with respect to x.
x\(^3\) + x\(^2\) - 5x + C
x\(^2\) + 2x\(^2\) - 5x + C
x\(^2\) + 2x - 5 + C
x\(^3\) + 2x - 5 + C
Explanation
∫ (3x² + 2x - 5) dx
= ∫ 3x² dx + ∫ 2x dx + ∫ (-5) dx
= 3 · (\(\frac{x^3}{3}\)) + 2 · (\(\frac{x^2}{2}\)) + (-5) · x + C
= x\(^3\) + x\(^2\) - 5x + C
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