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Mathematics 17 Online
OpenStudy (anonymous):

integrate the following function

OpenStudy (anonymous):

\[\int\limits_{0}^{2}\sqrt{1+\cosh^2(x)}dx\]

OpenStudy (lgbasallote):

this sounds fun

OpenStudy (anonymous):

not so much

OpenStudy (lgbasallote):

wolfram gives a scary answer

OpenStudy (anonymous):

yeah i need steps

OpenStudy (lgbasallote):

i have no clue sorry...if wolfram gives a frightening answer idk if i am able to solve it o.O

OpenStudy (anonymous):

@Spacelimbus

OpenStudy (lgbasallote):

although....if you wrote the question wrong it could be possible to solve..

OpenStudy (anonymous):

nope ;that is right

OpenStudy (anonymous):

I remember the elliptical integral function actually, but I doubt that this will help us anywhere here, I will have to take a look if some substitutions will work.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Lets try it :D

OpenStudy (anonymous):

Actually, you can't integrate it.

OpenStudy (anonymous):

a series representation might work.

OpenStudy (anonymous):

why?

OpenStudy (anonymous):

Its an elliptic integral, just type it into wolfram. It doesn't have an antiderivative.

OpenStudy (anonymous):

what about \[d/dx e^x-e ^{-x}\div 2\]

OpenStudy (anonymous):

what you have makes no sense. You're integrating. Also: \[\cosh(x)=\frac{e^x+e^{-x}}{2}\] Not minus, thats sinh(x).

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