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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #74162)