ok, so i have to integrate (e^x-e^-x)/(e^x+e^-x). any ideas on how to solve this problem?
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So your integral becomes:
Put the bottom equal to u. Take its derivative. It's going to equal the top. You will thus conclude that it is ln(denominator)
ok, kewl. i see wat i did wrong now. i differentiated e^-x wrong. forgot that it was negative. thanks guys, really appreciate it.
Originally Posted by needhelp101 ok, so i have to integrate (e^x-e^-x)/(e^x+e^-x). any ideas on how to solve this problem? Or, you might recognise the definition of a familiar hyperbolic function and hence a standard integral ....
Your (E^x-E^(-x))/(E^x+E^(-x)) equals Tanh[x]. And its integral is Ln[Cosh[x]]. Please visit one of most powerful math engines: http://integrals.wolfram.com/index.jsp
All the best. Marek.
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