Respuesta :

Answer:

  y = (1/3)x^3 +4x + c . . . . . for some constant c

Step-by-step explanation:

The anti-derivative of x^n is (x^(n+1))/(n+1). Applying this rule to each of the terms in dy/dx, we get ...

  y = (1/3)x^3 + 4x

There may be an added constant as well, conventionally represented by "c".

  y = (1/3)x^3 +4x +c