Hello,

Do we have any formula for

Integral of

and also

- Mar 7th 2011, 06:03 AMHamedA formula for the integral of exponentials and hyperbolic trig functions
Hello,

Do we have any formula for

Integral of

and also - Mar 7th 2011, 06:13 AMPlato
- Mar 7th 2011, 06:15 AMProve It
Assuming that you meant and , for each you need to use Integration by Parts twice.

- Mar 7th 2011, 06:17 AMPlato
- Mar 7th 2011, 06:26 AMProve It
- Mar 7th 2011, 06:27 AMHallsofIvy
Yes, but as you said before, that is very simple. Assuming it is in fact, , perhaps the simplest thing to do is to write it as

and integrate that. - Mar 7th 2011, 06:41 AMHamed
x not t

for e^(ax)cos(bx)dx= [(e^(ax))/(a^2+b^2)]*(acosbx+bsinbx)

Can we have sth for e^(ax)cosh(bx)dx?

and e^(ax)sinh(bx)dx

How can I use TEX? - Mar 7th 2011, 06:44 AMAckbeet
See here for a LaTeX tutorial.

- Mar 7th 2011, 06:45 AMPlato
In that case use post #6. It is the best way to do it.

There is a LaTeX tutorial here. - Mar 7th 2011, 06:51 AMHamed
- Mar 7th 2011, 07:04 AMPlato
- Mar 7th 2011, 08:59 AMProve It
I don't know what you mean by "sth', but if you need to write your indefinite integral in terms of sines and cosines, use integration by parts twice.

Otherwise, if you want a quick way to perform the integration, first convert the hyperbolic functions to their exponential forms.