Question 1115954
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Your problem statement is ambiguous, but I presume you mean:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \int\,\frac{e^x}{1\,+\,e^3}\,dx]


Given that, and noting that *[tex \LARGE \frac{1}{1\,+\,e^3}] is simply a numerical constant, recall that


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \int\,ae^x\,dx\ =\ ae^x\ +\ C]


Hence


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \int\,\frac{e^x}{1\,+\,e^3}\,dx\ =\ \frac{e^x}{1\,+\,e^3}\ +\ C]


Refer to http://www.purplemath.com/modules/mathtext.htm before posting in the future so that your plain text rendering of mathematical statements avoid ambiguity.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  


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