Find
Take the indefinite integral of
int $x(x^6$$+7)^2dx$
$$\frac{1}{14}$x^{14}$$+\frac{7}{4}$x^8$$+\frac{49}{2}$x^2$+C
$$\frac{1}{13}$x^{13}$$+2x^7$+49x+C
Indefinite integral does not exist
$(x^2$$+7)(x^6$$+7)^2$
$x^2$$(x^6$$+7)^3$+C