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## Homework Statement

Evaluate:

[tex]\int\\{1}/{\sqrt{x^2-1}}[/tex] dx between -3, -2

I know I'm supposed to use hyperbolic substitution in the question.

## Homework Equations

edit: cosh^2(t) - sinh^2(t) = 1

## The Attempt at a Solution

let x = -cosht, inside the integral let dx = sinh(t) dt

int ( sinht / sqrt(cosh^2t - 1) ) dt

now normally at this point i would use the trig identity cosh^2(t) + sinh^2(t) = 1 to eliminate the -1 in the root, however i can't work out how to sub in to eliminate because i've had to use a negative cosht for x as the bounds of the integral are both negative.

I'm not great at this area of maths, I thought maybe if i substituted sinh(t) for x, I could possible rewrite -sinh(t) as sinh(-t) but i'm not sure if that's a fair solution or not.

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