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


Question

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

Options

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

B) x3 + 2x + k

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

D) 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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Discussion (2)

  • Chiedu Williams

    How did u get that one

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  • \(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx
    \(\frac{2x^2+1}{2 + 1}\) + 2x + k
    = \(\frac{2x^3}{3}\)+ 2x + k

    Reply
    Like