I'm starting out with the following:

Rearranging terms, I get:

Someone remind me how to integrate that left side? I know I could turn it all into tan(theta), but then what would I do with dy?

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- Jul 1st 2012, 03:25 PMphys251Integrating the tractrix equation
I'm starting out with the following:

Rearranging terms, I get:

Someone remind me how to integrate that left side? I know I could turn it all into tan(theta), but then what would I do with dy? - Jul 1st 2012, 03:49 PMpickslidesRe: Integrating the tractrix equation
Substitute

- Jul 1st 2012, 04:02 PMReckonerRe: Integrating the tractrix equation

Use trig substitution. Let Then and we have

Open if you're still stuck:

__Spoiler__: - Jul 1st 2012, 07:25 PMphys251Re: Integrating the tractrix equation
- Jul 1st 2012, 07:45 PMReckonerRe: Integrating the tractrix equation