A community for students.
Here's the question you clicked on:
 0 viewing
gvm
 2 years ago
does the integral x/(5x)^(1/2) dx that goes from 1 to 5 converge and if so what is the value and how do you find it?
gvm
 2 years ago
does the integral x/(5x)^(1/2) dx that goes from 1 to 5 converge and if so what is the value and how do you find it?

This Question is Closed

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0\[\Large \int_1^5 \frac{x}{\sqrt{5x}}dx?\]

gvm
 2 years ago
Best ResponseYou've already chosen the best response.0yes that's what it looks like...so does it converge? and how do you show that it converges?

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0well you do this: \[\Large \lim_{t \rightarrow 5} \int_1^t \frac{x}{\sqrt{5x}}dx\]

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0i am thinking trigonometric substitution for this...

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1337935669505:dw

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \sqrt 5 \sin \theta = \sqrt x\] \[\large \sqrt 5 \cos \theta = \sqrt{5x}\] \[\large 5 \sin^2 \theta = x\] \[\large 10 \sin \theta \cos \theta d\theta = dx\] \[\large \int \frac{x}{\sqrt{5x}}dx = \int \frac{5\sin^2 \theta \times 10 \sin \theta \cos \theta d\theta}{\sqrt 5 \cos \theta}\] \[\large \frac{50}{\sqrt 5} \int \sin^3 \theta d\theta\] i believe that is solveable?

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0do you still need help?

gvm
 2 years ago
Best ResponseYou've already chosen the best response.0i think i'm all set now...thank you :) i just have to ace this take home test because if i get a one hundred on it i'll get exempt from the final :D

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0no probs ^_^ keep practicing to see these things easier hehe

gvm
 2 years ago
Best ResponseYou've already chosen the best response.0are you in college or high schoool?

princeofwetlot
 2 years ago
Best ResponseYou've already chosen the best response.0probably a university you dont know lol

gvm
 2 years ago
Best ResponseYou've already chosen the best response.0oh alright then...just curious cuz i'm starting colllege in the fall! weeee :D

gvm
 2 years ago
Best ResponseYou've already chosen the best response.0thank you :) ughhh its sooo early where i live...i pulled an all nighter :O
Ask your own question
Sign UpFind 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.