[tex]y = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]
Step-by-step explanation:
[tex]dy = ( {x}^{3} + 5x - 18)dx[/tex]
Integrating the above expression, we get
[tex]y = \int( {x}^{3} + 5x - 18)dx[/tex]
[tex] = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]
where k is the constant of integration
