antideritiive
antideritive of [tex]x^n [/tex] is [tex] \frac{x^{n+1}}{n+1} [/tex]
antiderititve of a constant is that constant times x
so
antideritive of [tex]x^2 [/tex] is [tex] \frac{x^{2+1}}{2+1}=\frac{x^{3}}{3} [/tex]
andtideritivee of 4 is 4x
total is
[tex]y= \frac{x^3}{3}+4x+C [/tex]
D is answer