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Integral of htan(f(x)+c)
- Thread starter ollienor
- Start date
D
Deleted member 4993
Guest
Is it trivial to find the integral of tanh(f(x)+c) or is it dependent on what f(x) is or what c is?
If you wanted to differentiate tanh[f(x)+c] - would you say you need to know f(x) and f'(x)?
I don't know, never studied or read anything about hyperbolic functions.
There really is very little information about them that's of any use to me, I just need somebody who does know to tell me, then I will know (hopefully).
I hope not anyway?
I'm hoping it is as easy as:
ln(cosh(f(x)+c) but I have doubts....
There really is very little information about them that's of any use to me, I just need somebody who does know to tell me, then I will know (hopefully).
I hope not anyway?
I'm hoping it is as easy as:
ln(cosh(f(x)+c) but I have doubts....
D
Deleted member 4993
Guest
I don't know, never studied or read anything about hyperbolic functions.
There really is very little information about them that's of any use to me, I just need somebody who does know to tell me, then I will know (hopefully).
I hope not anyway?
I'm hoping it is as easy as:
ln(cosh(f(x)+c) but I have doubts....
" I don't know, never studied or read anything about hyperbolic functions."
- so it will be good time for doing some research and reading up on it. Start with:
http://www.sosmath.com/trig/hyper/hyper01/hyper01.html
If you did an internet search on "hyperbolic function" - you will get thousands of sites ready to show you with worked out examples.
If you differentiate ln(cosh(x)) → you would get tanh(x) - however -
If you differentiate ln(cosh(x2)) → you would get 2 * x * tanh(x2)
and
if you integrate tanh(x2) → the answer cannot be given in simple algebraic form.
OK thanks for the info, short answer is no not trivial.
I have been trawling the internet for hours. I found 1 example of integrating tanh which wasn't simply tanh(x). There are many many many examples of sinh and cosh, tanh seems to be largely avoided.
I literally just need to integrate one equation, ever, I have a time limit on my dissertation and right now I have an equation for velocity so I can present a series of velocity/time graphs but it would be really nice to have distance/time graphs. Despite having studied calculus throughout many different modules, the hyperbolic functions were completely avoided. I don't have enough time to read up on it now.
I do however have an equivalent equation from mathematica which avoids hyperbolic tangent and uses e instead, trouble is, I didn't work it out and it's probably not great to just say "here's an equation for v" with no explanation, I might just get away with it for displacement though.
I have been trawling the internet for hours. I found 1 example of integrating tanh which wasn't simply tanh(x). There are many many many examples of sinh and cosh, tanh seems to be largely avoided.
I literally just need to integrate one equation, ever, I have a time limit on my dissertation and right now I have an equation for velocity so I can present a series of velocity/time graphs but it would be really nice to have distance/time graphs. Despite having studied calculus throughout many different modules, the hyperbolic functions were completely avoided. I don't have enough time to read up on it now.
I do however have an equivalent equation from mathematica which avoids hyperbolic tangent and uses e instead, trouble is, I didn't work it out and it's probably not great to just say "here's an equation for v" with no explanation, I might just get away with it for displacement though.