A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
find the area enclosed between the curve y=x^3 and the line y=x
anonymous
 3 years ago
find the area enclosed between the curve y=x^3 and the line y=x

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0did you sketch the region?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0im not sure on how to

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you're not sure how to sketch x^3 ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no i mean i sketched it, i dont know what to do after

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0say, for example, you're asking about the area enclosed for positive values of x..: dw:1355190249043:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you can see that it's the area under the line x (from 0 to 1) minus the area under x^3 (from 0 to 1)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0aka:\[\int\limits_{0}^{1} xx ^{3} dx\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can you evaluate that integral?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and then how do we find the anti derivitve of that hat

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the usual way:\[\int\limits_{ }^{ } x^n dx = \frac{ x^{n+1} }{ n+1 }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so for \[\int\limits_{ }^{} x^1 dx\] \[\int\limits_{ }^{} x^1 dx = \frac{ x^{1+1} }{ 1+1}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so \[\frac{ x^2 }{ 2 } \frac{ x^4 }{4 } \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for the region on the interval x =0...+inf ( 1/2 1/4 )  (0/2 0/4)
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.