A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Hello, can anyone help me?
\[\int\limits_{2}^{8}\sqrt({2x})dx=\sqrt{2}\int\limits_{2}^{8}(x ^{\frac{ 1 }{ 2 }})dx=\sqrt{2}(\frac{ x ^{1,5} }{ 1,5})\] so, my questions are "Have I done everything right" And "How to find the answer?". p.s. there, of course, should be  with 8 on top of it and 2 on the bottom, but I didnt know how to "draw it"
 2 years ago
Hello, can anyone help me? \[\int\limits_{2}^{8}\sqrt({2x})dx=\sqrt{2}\int\limits_{2}^{8}(x ^{\frac{ 1 }{ 2 }})dx=\sqrt{2}(\frac{ x ^{1,5} }{ 1,5})\] so, my questions are "Have I done everything right" And "How to find the answer?". p.s. there, of course, should be  with 8 on top of it and 2 on the bottom, but I didnt know how to "draw it"

This Question is Closed

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1yes, it's right so far

Kamille
 2 years ago
Best ResponseYou've already chosen the best response.0so, I know that I need to "put" 8 and 2 everywhere where is x, but! how to simplify (or I don't need to) \[\frac{ 8^{1,5} }{ 1,5 }\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1it helps to remember that\[\large x^{a/b}=\sqrt[b]{x^a}\]and convert 1.5=3/2

Kamille
 2 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{2}(\frac{ \sqrt{8^{3}} }{ 1,5 }\frac{ \sqrt{8} }{ 1,5 })=\sqrt{2}(\frac{ 8\sqrt{8} }{ 1,5 }\frac{ \sqrt{8} }{ 1,5 })=\sqrt{2} * \frac{ 7\sqrt{8} }{ 1,5 }= 18\frac{ 2 }{ 3 }\] Can you check now? @TuringTest

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1yes, that is correct for the evaluation at 8, now you need to subtract the evaluation at 2

Kamille
 2 years ago
Best ResponseYou've already chosen the best response.0sorry? Haven't i done it? \[2^{\frac{ 3 }{ 2 }}=\sqrt{8}\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.1yeah, my bad, I got cut off you have the right answer

Kamille
 2 years ago
Best ResponseYou've already chosen the best response.0Thank you a lot for your help!
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.