$[-/$T Points$]$

Find the indefinite integral. $($Use $C$ for the constant of integration.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(-\frac{600}{(0\mathrm{.}04p-1{)}^3})dp$

Now consider the following.

$\frac{dx}{dp}=-\frac{600}{(0\mathrm{.}04p-1{)}^3},x=7,500$ when $p=$$$50$

Find the demand function $x=f(p)$ that satisfies the initial condions.

$x=$

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