It seems like your question involves a substitution method to transform an integral into a basic form. However, the details of the integral and substitution seem to be incomplete.

Let's walk through a general example of substitution. Consider an integral of the form:

$\int f(g(x)) g'(x) \, dx$

We typically perform a substitution by letting $u = g(x)$. Then, $du = g'(x) dx$, and the integral becomes:

$\int f(u) \, du$

Now, if you provide the specific form of the integral and the substitution, we can work through it.

Could you clarify the exact integral and substitution you'd like to perform?

Here are 5 possible substitution integrals to consider:

1. $\int \sin(3x) \, dx$
2. $\int x e^{x^2} \, dx$
3. $\int \frac{1}{x^2 + 1} \, dx$
4. $\int \frac{1}{\sqrt{1 - x^2}} \, dx$
5. $\int \cos(2x) e^{\sin(2x)} \, dx$

Tip: When choosing a substitution, try to simplify the integral by turning a complex expression into a basic form you can easily integrate.