Final answer:
To solve the integral using the substitution x = 4 sec(θ), replace x with 4 sec(θ) in the integrand, differentiate to find dx, integrate with respect to θ, and then substitute back and include the constant of integration. The provided physics equations are not applicable to this calculus problem.
Step-by-step explanation:
To find the indefinite integral using the substitution x = 4 sec(θ), we need to follow a few steps. The first step is to replace the variable x in the integrand with the substituted expression involving θ. Next, we need to find the differential of the substitution, which involves differentiating x with respect to θ to find dx.
This might involve using trigonometric identities to simplify the expression. Finally, we perform the integration with respect to θ and then substitute back to the original variable if necessary, remembering to include the constant of integration.
In this case, the provided information seems to contain physics equations, which are not directly useful for solving a problem that requires a trigonometric substitution in calculus. We would need the specific integral that the student is trying to solve to proceed with the correct substitution.