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Drknownothing

Integral of [e^t/(e^(2t)+4)]

 

How do I do this intgeral???

Drknownothing

seems like it should be pretty easy but what technique do I use?

Drknownothing

Here is the latex

tseta

First you can substitute e^t = 2x and then you can integrate this one by using D(arctan(x)) = 1/(x^2 + 1).

gmlenrev

tseta's right...answer is immediate after letting u=e^t since INT(u/(u^2+4)) can be computed immediately...don't forget a 1/2 as coefficient..

Drknownothing

ah arctan it is thanks