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## Homework Statement

How to integrate

## \frac{dx}{dt}=\sqrt{\frac{k}{x}-1}##

AND

## \frac{dx}{dt}=\sqrt{\frac{k}{x}+1}##

k a constant here.

I'm unsure what substitution to do.

Many thanks in advance.

## Homework Equations

## The Attempt at a Solution

I can't really get started as I'm unsure what substition is needed.

I think a trig but don't know what?

many thanks in advance.