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Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
\[\LARGE \int_{1}^{0}~\frac{e^{1/x}}{x^3}~dx\]
 4 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
sub u = 1/x
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
try letting u=1/x so x=1/u
 4 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.1
then do parts
 4 months ago

Joshyboi25tolyfe Group TitleBest ResponseYou've already chosen the best response.0
Guys guys... In the eyes of god, mathematics doesn't exist! Now, let's all hold hands and pray.
 4 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
yeah u can't avoid parts i think
 4 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.1
mathematics is a language and God gave us languages
 4 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.1
so shut your 3.14 hole
 4 months ago

Joshyboi25tolyfe Group TitleBest ResponseYou've already chosen the best response.0
LOLOL ^
 4 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
\[\LARGE \int_{1}^{0}~\frac{e^{1/x}}{x^3}~dx\] \[\LARGE =\int_{1}^{0}~\frac{1}{x}~e^{1/x}~\frac{1}{x^2}~dx\] \(\Large u=1/x\) and \(\Large du=\frac{1}{x^2}dx\) \[\LARGE \int_{1}^{0}~ue^udu\] And then use parts like dan said?
 4 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
*\[\LARGE \int_{1}^{0}~ue^udu\]
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
you should have an improper integral
 4 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
\[\LARGE \LARGE \lim_{t \rightarrow 0} \int_{1}^{t}~ue^udu~\]?
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
of x is between 1 and 0 and u=1/x dw:1402252341171:dw
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
as we approach 0 from the left what is u getting approaching?
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
dw:1402252495152:dw
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
we are looking to the left of 0 because our interval is 1 to 0 none of our values occur to the right of 0 so we won't bother to look there
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
i'm asking him to evaluate the following: \[\lim_{x \rightarrow 0^}\frac{1}{x}\]
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
lugi0210 just read the graph above as our x values get near the 0 number (from the left) what do your u values (or if you want call them y values) do?
 4 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
\(\Large \infty\)?
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
right so i'm going to change one thing in your lim from earlier \[\LARGE \LARGE \lim_{t \rightarrow  \infty} \int\limits_{1}^{t}~ue^udu~ \]
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
i think there should be a negative in front of that
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
\[ \LARGE \LARGE \lim_{t \rightarrow  \infty} \int\limits\limits_{1}^{t}~ue^udu~\]
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
you know from the du=1/x^2 dx thing
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
now use integration by parts then evaluate the limit
 4 months ago

Luigi0210 Group TitleBest ResponseYou've already chosen the best response.3
Alright, I see it now, it was the limits that was throwing me off >_< Thank you myininaya :)
 4 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
if u feel lazy about changing the bounds, you may try below : 1) Find the indefinite integral first 2) plugin the bounds
 4 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
@Luigi0210 did you get it?
 4 months ago
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