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Integrate y = 4x\(^3\) + 2x + cos x.

Mathematics
JAMB 2025

Integrate y = 4x\(^3\) + 2x + cos x.

  • A. x\(^4\) - x\(^2\) - sin x + C
  • B. x\(^4\) + x\(^2\) + sin x + C
  • C. x\(^4\) - x\(^2\) + sin x + C
  • D. x\(^4\) + x\(^2\) - sin x + C
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Correct Answer: Option B
Explanation

Integrate y = 4x\(^3\) + 2x + cos x.

∫4x\(^3\) dx = x\(^4\) + ∫2x dx = x\(^2\) + ∫cos x dx = sin x

The integral is x\(^4\) + x\(^2\) + sin x + C

There is an explanation video available below.


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Explanation Video

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