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# Hyperbolic Integration watch

1. Hi,

Can someone help me out with this question. Find the integral of (Cosech x) (Coth x)

I know the relationship where coth^2 = cosech^2+1. But when I sub it in it makes the integral look very complicated. Is there a simpler way?
2. (Original post by ChemBoy1)
Hi,

Can someone help me out with this question. Find the integral of (Cosech x) (Coth x)

I know the relationship where coth^2 = cosech^2+1. But when I sub it in it makes the integral look very complicated. Is there a simpler way?
Just express the thing you're intergrating in terms of sinh and cosh then use the obvious substitution for integration
3. Hi,
Just did that so I got cosh/ sinh^2. Subbed in Sinh = 1+ cosh^2.
So now I have cosh/ cosh^2 +1. Subbed in u= cosh, but this is where I get stuck:
du/dx equals Sinh so dx= du/ sinh. I can't seem to find a way to get rid of the sinh?
(Original post by RDKGames)
Just express the thing you're intergrating in terms of sinh and cosh then use the obvious substitution for integration
4. (Original post by ChemBoy1)
Hi,
Just did that so I got cosh/ sinh^2. Subbed in Sinh = 1+ cosh^2.
So now I have cosh/ cosh^2 +1. Subbed in u= cosh, but this is where I get stuck:
du/dx equals Sinh so dx= du/ sinh. I can't seem to find a way to get rid of the sinh?
Er.. no I just meant you go straight to u-sub with after converting the expression.
5. So I got cosh x / sinh x ^2. If i sub in u = sinh x what would the numerator be?
(Original post by RDKGames)
Er.. no I just meant you go straight to u-sub with after converting the expression.
6. (Original post by ChemBoy1)
So I got cosh x / sinh x ^2. If i sub in u = sinh x what would the numerator be?
Substitute in for dx

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