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Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

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Mathematics JAMB 2016

Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

  • \(\frac{2x^3}{3}\) - 2x + k
  • x3 + 2x + k
  • \(\frac{2x^3}{3}\) + 2x + k checkmark
  • x3 - 2x + k

The correct answer is: C

Explanation

\(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx

\(\frac{2x^2+1}{2 + 1}\) + 2x + k

= \(\frac{2x^3}{3}\)+ 2x + k

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