JAMB - Mathematics (2016 - No. 1)
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
x3 - 2x + k
Explication
\(\int\) \(\frac{2x^3 + 2x}{x}\) = \(\int\) \(\frac{2x^3}{x}\) + \(\frac{2x}{x}\) = \(\int\) (2x2 + 2) dx
\(\frac{2x^2+1}{2 + 1}\) + 2x + k
= \(\frac{2x^3}{3}\)+ 2x + k
\(\frac{2x^2+1}{2 + 1}\) + 2x + k
= \(\frac{2x^3}{3}\)+ 2x + k