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 Answer: Option 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
There is an explanation video available below.