Integrate frac 2x 3 2x x with respect to x - JAMB Mathematics 2016 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
correct option: c
(\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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