Final answer:
To find the indefinite integral of arcsec(8x) dx, advanced calculus techniques such as integration by parts or substitution should be used, followed by the addition of the constant of integration, c.
Step-by-step explanation:
The student has asked for help in finding the indefinite integral of arcsec(8x) dx, given that x > 18. It is important to note that arcsec(x) is the inverse of the secant function, which does not have a straightforward integral form; thus, integration by parts or a substitution must be used. An integral solver tool found through a web search can aid in calculating this integral, or manual techniques in advanced calculus can be applied. After finding the solution, a constant of integration, which is typically denoted as c, should be added to the result.