Question on: JAMB Mathematics - 2024
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
A
\(\frac{2x^3}{3} - 2x + k\)
B
x3 + 2x + k
C
\(\frac{2x^3}{3} + 2x + k\)
D
x3 - 2x + k
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Correct Option: C
Simplify the expression: \(\frac{2x^3 + 2x}{x} = 2x^2 + 2\)
Integrate term by term:
- \(\int 2x^2 dx = \frac{2x^3}{3}\)
- \(\int 2 dx = 2x\)
Therefore, the integral is: \(\frac{2x^3}{3} + 2x + k\), where k is the constant of integration.
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