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waterineyesBest ResponseYou've already chosen the best response.0
Applying the Divide rule of Derivative here..
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
lol water do it by that way i will give you thousand medals :P
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
and its integration man~
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Sorry I did not read the question fully..
 one year ago

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

wasiqssBest ResponseYou've already chosen the best response.0
ahaha omni in your dreams do it :P
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
We can use here Integration by Parts...
 one year ago

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

wasiqssBest ResponseYou've already chosen the best response.0
hahahah omni i heard you saying i own calculus ? :P
 one year ago

OmniscienceBest ResponseYou've already chosen the best response.0
term by term integration of the infinite series?
 one year ago

OmniscienceBest ResponseYou've already chosen the best response.0
like srsly.. http://en.wikipedia.org/wiki/Exponential_integral
 one year ago

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

Outkast3r09Best ResponseYou've already chosen the best response.1
Wasi, what calculus are you in
 one year ago

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

wasiqssBest ResponseYou've already chosen the best response.0
hint it can be done by parts
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
i know it can be done by parts however are you in calculus 2
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
well outkas do it by parts i wanna see
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
For 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..
 one year ago

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

Outkast3r09Best ResponseYou've already chosen the best response.1
yes however switch the u and dv to go back and then add them and divide by 2
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Right but that will lead to x^3 then this process continues..
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
in otherword let dv = 1/x^2
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
haha outkas right :D :D
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
then add the integrals and divide by 2
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
it is a two step integral
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
@Omniscience poor you :P
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
outkas which calculus you doing
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
I'm don with calculus, I'm in Differential Equations right now
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
however i don't remember hardly anything from calc 3.. and i wouldn't remember the series i it weren't for review
 one year ago

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

Outkast3r09Best ResponseYou've already chosen the best response.1
nothing like drawing 3d objects on a 2d piece of paper
 one year ago

Outkast3r09Best ResponseYou've already chosen the best response.1
i'm a at a community and it's around my second/3rd year
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
i just cleared the first year only :/
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
now i will go to second
 one year ago

meera_yadavBest ResponseYou've already chosen the best response.1
good try mukushla :)
 one year ago

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