The integral you provided is:

\[
\int x \sqrt{4} \, dx
\]

Since \(\sqrt{4} = 2\), we can simplify the integral to:

\[
\int 2x \, dx
\]

Now, integrate:

\[
\int 2x \, dx = 2 \cdot \frac{x^2}{2} = x^2 + C
\]

So, the solution to the integral is:

\[
x^2 + C
\]

Do you want any more details or have further questions?

Here are 5 related questions:
1. How do you integrate powers of \(x\)?
2. What is the general rule for integrating \(ax + b\)?
3. How do you handle constants inside integrals?
4. Can you explain the power rule of integration in more detail?
5. How do you calculate definite integrals involving linear functions?

**Tip**: Always simplify expressions like \(\sqrt{4}\) before integrating to make the process easier.

Explore the integral of x times the square root of 4 step-by-step with a comprehensive explanation. This problem involves calculus and the power rule of integration. Suitable for college-level students.

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