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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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princeofwetlotBest ResponseYou've already chosen the best response.0
\[\Large \int_1^5 \frac{x}{\sqrt{5x}}dx?\]
 one year ago

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

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

princeofwetlotBest ResponseYou've already chosen the best response.0
i am thinking trigonometric substitution for this...
 one year ago

princeofwetlotBest ResponseYou've already chosen the best response.0
dw:1337935669505:dw
 one year ago

princeofwetlotBest 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?
 one year ago

princeofwetlotBest ResponseYou've already chosen the best response.0
do you still need help?
 one year ago

gvmBest ResponseYou've already chosen the best response.0
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
 one year ago

princeofwetlotBest ResponseYou've already chosen the best response.0
no probs ^_^ keep practicing to see these things easier hehe
 one year ago

gvmBest ResponseYou've already chosen the best response.0
are you in college or high schoool?
 one year ago

princeofwetlotBest ResponseYou've already chosen the best response.0
probably a university you dont know lol
 one year ago

gvmBest ResponseYou've already chosen the best response.0
oh alright then...just curious cuz i'm starting colllege in the fall! weeee :D
 one year ago

gvmBest ResponseYou've already chosen the best response.0
thank you :) ughhh its sooo early where i live...i pulled an all nighter :O
 one year ago
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