Answer
The first term $\displaystyle \int 2x^6\ \ $ makes no sense: no $dx$, and there shouldn't be an integral sign anyway.
Correct answer:$\qquad 2x^{6}+-2x^{2}+C$
Work Step by Step
$\displaystyle \int(12x^{5}-4x)dx=12\int x^{5}dx-4\int xdx$
Term by term:
$12\displaystyle \int x^{5}dx=12\cdot\frac{x^{6}}{6}+C=2x^{6}+C$
The first term $\displaystyle \int 2x^6$ makes no sense: no $dx$, and there shouldn't be an integral sign anyway.
$-4\displaystyle \int xdx=-4\cdot\frac{x^{2}}{2}+C=-2x^{2}+C$
The last two terms are correct.
Correct answer:$\qquad 2x^{6}+-2x^{2}+C$
