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wasiqss
 2 years ago
Integral of (e^x)/x
wasiqss
 2 years ago
Integral of (e^x)/x

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waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Applying the Divide rule of Derivative here..

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0lol water do it by that way i will give you thousand medals :P

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0and its integration man~

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry I did not read the question fully..

Omniscience
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \int\limits\frac{e^{x}}{x} dx\]?? looks like cant be solved by elementary methods..

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0ahaha omni in your dreams do it :P

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0We can use here Integration by Parts...

Omniscience
 2 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=integrate+%28e^x%29%2Fx like srsly? how can you solve it?

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0hahahah omni i heard you saying i own calculus ? :P

Omniscience
 2 years ago
Best ResponseYou've already chosen the best response.0term by term integration of the infinite series?

Omniscience
 2 years ago
Best ResponseYou've already chosen the best response.0like srsly.. http://en.wikipedia.org/wiki/Exponential_integral

meera_yadav
 2 years ago
Best ResponseYou've already chosen the best response.1hi water , have you heard of exp x = \[x + x ^{2}/2! + x ^{3}/3! + x ^{4}/4!.........\]

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1Wasi, what calculus are you in

meera_yadav
 2 years ago
Best ResponseYou've already chosen the best response.1if you know this then u can substitute exp x by the above and further see if its solvable !

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0hint it can be done by parts

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1i know it can be done by parts however are you in calculus 2

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0well outkas do it by parts i wanna see

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0For convenience, 1/x is the first function.. e^x as second function.. \[\int\limits_{}^{}(\frac{1}{x}).e^x.dx = \frac{1}{x}.e^x  \int\limits_{}^{}(\frac{1}{x^2}.e^x).dx\] \[= \frac{e^x}{x} +\int\limits_{}^{} \frac{e^x}{x^2}.dx\] But now x will move on increasing like x^3, x^4 etc etc..

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0yeah now you have to do integration of (e^x)/x^2 right?

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1yes however switch the u and dv to go back and then add them and divide by 2

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Right but that will lead to x^3 then this process continues..

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1in otherword let dv = 1/x^2

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0haha outkas right :D :D

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1then add the integrals and divide by 2

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0it is a two step integral

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0@Omniscience poor you :P

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0outkas which calculus you doing

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1I'm don with calculus, I'm in Differential Equations right now

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1however i don't remember hardly anything from calc 3.. and i wouldn't remember the series i it weren't for review

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0D.E are real good, in which uni you are and which year?

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1nothing like drawing 3d objects on a 2d piece of paper

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.1i'm a at a community and it's around my second/3rd year

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0i just cleared the first year only :/

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0now i will go to second

meera_yadav
 2 years ago
Best ResponseYou've already chosen the best response.1good try mukushla :)

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.2there was a little mistake in my answer \[\int\limits \frac{e^x}{x}dx=\int\limits \frac{1}{x} \sum_{n=0}^{\infty} \frac{x^n}{n!}dx=\sum_{n=0}^{\infty} \int\limits \frac{x^{n1}}{n!} dx=\ln x+\sum_{n=1}^{\infty} \frac{x^{n}}{n.n!}\]
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