1. ## integration of exp(-sinh(x))

I have been working on some perturbation (asymptotic) methods work and I have ran into an issue... I can't seem to figure out a way to integrate:
$exp(-sinh(x))$
I tried using u substitution and that doesn't work (unless i did something wrong). Could anyone shed any insite such that i can solve this integral?

Thanks

MT

2. $\int e^{-\sinh x}\,dx$ can not be expressed in terms of elementary functions. I believe the best you can do is a numerical approximation.

3. Originally Posted by robotENGR
I have been working on some perturbation (asymptotic) methods work and I have ran into an issue... I can't seem to figure out a way to integrate:
$exp(-sinh(x))$
I tried using u substitution and that doesn't work (unless i did something wrong). Could anyone shed any insite such that i can solve this integral?

Thanks

MT
Now if it was $\int e^{-\text{arcsinh}(x)} dx$ we'd be able to get somewhere. Are you sure it isn' this?