Problem
Evaluate the indefinite integral. \[ \int 24 s^{19 / 5} d s \] (Express numbers in exact form. Use symbolic notation and fractions where needed. Use $C$ for the arbitrary constant. Absorb into $C$ as much as possible.) \[ \int 24 s^{19 / 5} d s= \]
Solution
Step 1 ：The integral of a function in the form of \(ax^n\) is given by \(\frac{a}{n+1}x^{n+1}\). Here, \(a=24\) and \(n=\frac{19}{5}\). So, we can use this formula to find the integral.
Step 2 ：After finding the integral, we need to add the constant of integration, \(C\).
Step 3 ：The indefinite integral of \(24s^{19/5}\) is \(\boxed{5s^{4.8} + C}\).
