Integrate the expression 6x\(^2\) - 2x + 1
A
3x\(^3\) - 2x\(^2\) + x + c
B
2x\(^3\) - x\(^2\) + x + c
C
2x\(^3\) – 3x\(^2\) + c
D
x\(^3\) + x\(^2\) – x + c
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
6x\(^2\) - 2x + 1
\(\frac{6x^{2+1}}{2+1} - \frac{2x^{1+1}}{1+1}+ 1x = \frac{6x^3}{3} - \frac{2x^2}{2} + x\)
\(2x^3 - x^2 + x + c\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #47561)