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# integration watch

1. Can someone show me how to do the following integration please:

∫e^x cosh x dx

Thanks
2. Integrate by parts.
3. Just use integration by parts where: f(x)=e^x and g'(x)=cosh x and thus g(x)=sinh x
4. Or:
e^x cosh(x) = e^x (e^(x) + e^(-x))/2
= (e^(2x) + 1)/2

Which integrates to:
(0.5e^(2x) + x)/2 + C
5. Integrating by parts doesn't work (although I suggested it above!). Use

e^x cosh(x) = (1/2)(e^(2x) + 1)
6. (Original post by Retropmot)
you can't get the integral by parts but when u do it

I = int(e cosh x)

I = e sinh x - int(e sinh x)

I = e sinh x - e cosh x + I

0 = e(sinh x - cosh x) = -1

Which step isn't valid?
You forgot the constant of integration.
7. Thanks

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