To solve the integral , we can use a clever substitution that simplifies our integrand. Notice that the expression can be related to the hyperbolic sine function.

Let’s make the substitution . With this substitution, we have and notice that .

Rewriting the integral, we get:

Now, simplifying the integrand gives:

Using the identity , the integral simplifies to:

Integrating gives:

Now we just need to convert back to the original variable using :

Thus, the solution can be rewritten in terms of as:

Now you have a comprehensive way to evaluate this integral!