Integrate frac 2x 3 2x x with respect to x - JAMB Mathematics 2024 Question
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
We are asked to integrate \(\frac{2x^3 + 2x}{x}\) with respect to x. First, simplify the expression: \(\frac{2x^3 + 2x}{x} = 2x^2 + 2\).
Now, integrate term by term:
- \(\int 2x^2 dx = \frac{2x^3}{3}\),
- \(\int 2 dx = 2x\).
The result of the integration is: \(\frac{2x^3}{3} + 2x + k\), where k is the constant of integration.
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