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Integrate the function y = 3x\(^2\) + 2x - 5 with respect to x.

Mathematics
JAMB 2025

Integrate the function y = 3x\(^2\) + 2x - 5 with respect to x.

  • A. x\(^3\) + x\(^2\) - 5x + C
  • B. x\(^2\) + 2x\(^2\) - 5x + C
  • C. x\(^2\) + 2x - 5 + C
  • D. x\(^3\) + 2x - 5 + C
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Correct Answer: Option A
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

There is an explanation video available below.


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Explanation Video

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