anonymous
  • anonymous
does the integral x/(5-x)^(1/2) dx that goes from 1 to 5 converge and if so what is the value and how do you find it?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\Large \int_1^5 \frac{x}{\sqrt{5-x}}dx?\]
anonymous
  • anonymous
yes that's what it looks like...so does it converge? and how do you show that it converges?
anonymous
  • anonymous
well you do this: \[\Large \lim_{t \rightarrow 5} \int_1^t \frac{x}{\sqrt{5-x}}dx\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
yup i have that so far :)
anonymous
  • anonymous
i am thinking trigonometric substitution for this...
anonymous
  • anonymous
|dw:1337935669505:dw|
anonymous
  • anonymous
\[\large \sqrt 5 \sin \theta = \sqrt x\] \[\large \sqrt 5 \cos \theta = \sqrt{5-x}\] \[\large 5 \sin^2 \theta = x\] \[\large 10 \sin \theta \cos \theta d\theta = dx\] \[\large \int \frac{x}{\sqrt{5-x}}dx = \int \frac{5\sin^2 \theta \times 10 \sin \theta \cos \theta d\theta}{\sqrt 5 \cos \theta}\] \[\large \frac{50}{\sqrt 5} \int \sin^3 \theta d\theta\] i believe that is solveable?
anonymous
  • anonymous
do you still need help?
anonymous
  • anonymous
i 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
anonymous
  • anonymous
thank yoouuuu! :)
anonymous
  • anonymous
no probs ^_^ keep practicing to see these things easier hehe
anonymous
  • anonymous
are you in college or high schoool?
anonymous
  • anonymous
college
anonymous
  • anonymous
neato :) where do you go?
anonymous
  • anonymous
probably a university you dont know lol
anonymous
  • anonymous
oh alright then...just curious cuz i'm starting colllege in the fall! weeee :D
anonymous
  • anonymous
congrats :D
anonymous
  • anonymous
thank you :) ughhh its sooo early where i live...i pulled an all nighter :O

Looking for something else?

Not the answer you are looking for? Search for more explanations.