Calculus 2: Hyperbolic Functions (47 of 57) What is a Catenary? Part 2 of 4

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In this video I will continue to derive the equation that will describe a hanging cable in terms of a hyperbolic function: Part 2 of 4.

Next video in the series can be seen at:
  1. Michel van Biezen
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Комментарии
Автор

Using a different integral calculator the result was c ln(c(s^2+c^2)^.5 + cs) + constant of int. Very close to what was expected but still differs by a c multiplier within the natural log brackets. I'm at a loss. WolframAlpha must require a specific format to make an entry that I am not aware of. Regarding the second calculator I don't know where the multiplier is coming from....did the process multiple times with same result.

bcnubynby
Автор

I believe the result of integration at bottom right is incorrect as the c multiplier is missing. The result I included in my last communication seems to be the correct answer and checks out in that its derivative returns the proper integrand.

bcnubynby
Автор

Should the two “s”s cancel just before the integral in the bottom sought of the screen?

JulieanGalak