Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
let r be the region enclosed by the graph of f(x)=1/x^2 g(x)=e^x and the line x=1 and x=k where k>1 find the limit as k approaches infinity of A(k).
A(k) we derived before and I believe that it is the integral from 1 to k ((1/k)+(E^k))
 one year ago
 one year ago
let r be the region enclosed by the graph of f(x)=1/x^2 g(x)=e^x and the line x=1 and x=k where k>1 find the limit as k approaches infinity of A(k). A(k) we derived before and I believe that it is the integral from 1 to k ((1/k)+(E^k))
 one year ago
 one year ago

This Question is Closed

TuringTestBest ResponseYou've already chosen the best response.1
your formula for the area is not quite right
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
ok i'm not sure what I did wrong
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
I mean initially it was integral from 1 to k (1/2x^2e^x)dx but when you differentiate wouldn't you get what I got?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
you can't take the derivative, the area is a function of the definite integral
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
woops i meant anti derivative
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
what do you get after integrating?
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
Well integrating the equation I got what I said before, ((1/k)+(E^k))...i didn't try to solve it any further
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
you did not evaluate correctly\[A(x)=\int_1^k\frac1{x^2}e^{x}dx=\left.\frac1x+e^{x}\right_1^k=\left(\frac1k+e^{k}\right)\left(1+\frac1e\right)\]
 one year ago
See more questions >>>
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.