It seems like there might be a mix-up in your query. If you are referring to the integration of a square root function, we can dive into the mathematical process of that.

If you meant something else by "root under tax," feel free to clarify.

Integration of a Square Root Function

Let's take an example:

$\int \sqrt{x} \, dx$

We can rewrite the square root as a fractional exponent:

$\int x^{\frac{1}{2}} \, dx$

Now, apply the power rule for integration, which states:

\int x^n \, dx = \frac{x^{n+1}}{n+1} + C \quad \text{(where n \neq -1)}

In this case, $n = \frac{1}{2}$, so we get:

[ \int x^{\frac{1}{2}} , dx = \frac{x^{\frac{1}{2} + 1}}{\frac{1}{2} + 1} + C = \frac{x^{\frac{3}{2}}}{\frac