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## Homework Statement

evaluate the integral using the indicated trig substitution. sketch the corresponding right triangle.

integral of(1/(x^2 sqrt(x^2 - 9))

## Homework Equations

integral of(1/(x^2 sqrt(x^2 - 9))

## The Attempt at a Solution

at first glance this seemed really easy, and i tried doing it without the given trig substitution of 3sec(theta), but i just got confused. i made the triangle with 3 on the hypotenuse and x on the leg opposite theta. then i said x = 3sin(theta) (because i have a value for the hypotenuse and the opposite) and from there i have no idea what to do. Also, im discouraged because the book tells you to use 3sec(theta) which is driving me insane because i have no idea why i would use sec at all. thanks for you help.