A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

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

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

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

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

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

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

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

myininaya
 7 months ago
Best ResponseYou've already chosen the best response.2you should have an improper integral

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

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

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

myininaya
 7 months ago
Best ResponseYou've already chosen the best response.2dw:1402252495152:dw

myininaya
 7 months ago
Best ResponseYou've already chosen the best response.2we 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

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

myininaya
 7 months ago
Best ResponseYou've already chosen the best response.2lugi0210 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?

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

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

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

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

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

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

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

myininaya
 7 months ago
Best ResponseYou've already chosen the best response.2@Luigi0210 did you get it?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.