JAMB - Mathematics (2025 - No. 25)

Integrate y = 4x\(^3\) + 2x + cos x.
x\(^4\) - x\(^2\) - sin x + C
x\(^4\) + x\(^2\) + sin x + C
x\(^4\) - x\(^2\) + sin x + C
x\(^4\) + x\(^2\) - sin x + C

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

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