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.)
\[
\int 24 s^{19 / 5} d s=
\]

Answer

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Answer

The indefinite integral of \(24s^{19/5}\) is \(\boxed{5s^{4.8} + C}\).

Steps

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 \(\boxed{5s^{4.8} + C}\).

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