Evaluate the following indefinite integral.
\[
\int \frac{10}{\sqrt{x}} d x
\]
Answer
Final Answer: The indefinite integral of \(\frac{10}{\sqrt{x}}\) with respect to \(x\) is \(\boxed{20\sqrt{x} + C}\), where \(C\) is the constant of integration.
Step 1 ：The integral is in the form of \(\int \frac{a}{\sqrt{x}} dx\), which is a standard integral form.
Step 2 ：The integral of \(\frac{1}{\sqrt{x}}\) with respect to \(x\) is \(2\sqrt{x}\).
Step 3 ：Therefore, the integral of \(\frac{10}{\sqrt{x}}\) with respect to \(x\) is \(10 * 2\sqrt{x}\), which is \(20\sqrt{x}\).
Step 4 ：We also need to add the constant of integration, \(C\), to the result.
Step 5 ：Final Answer: The indefinite integral of \(\frac{10}{\sqrt{x}}\) with respect to \(x\) is \(\boxed{20\sqrt{x} + C}\), where \(C\) is the constant of integration.
