A community for students.
Here's the question you clicked on:
 0 viewing
swin2013
 3 years ago
Find the average integral?
swin2013
 3 years ago
Find the average integral?

This Question is Closed

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0\[y=x^{2}  1, [0, \sqrt{3}]\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1 }{ \sqrt{3} } ∫\left(\begin{matrix}\sqrt{3} \\ 0\end{matrix}\right)\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0and is it the area of a triangle  area of a triangle?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac1{\sqrt3}\int\limits_0^{\sqrt3}(x^21)\mathrm dx\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0yea but i have to solve it with NINT :// the answer comes out to be 0 at x=1

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0i got √31 ~0.7~ 1

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0it's in the back of my book lol

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0im not sure how x=1 has anything to do with this problem

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.0"At what point(s) in the interval does the function assume its average value?"

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1What's the ummm average of integral formula? I always forget that thing...\[\large f_{ave}=\frac{1}{ba}\int\limits_a^b f(x) dx\]I think it's that thing right? So if we apply that to our problem,\[\large f_{ave}=\frac{1}{\sqrt30}\int\limits_0^{\sqrt3} x^21 \;dx\]Which gives us,\[\large \frac{1}{\sqrt3}\left[\frac{1}{3}x^3x\right]_0^{\sqrt3} \qquad = \qquad 0\] Does it have something to do with that maybe? So the average of our integral occurs when f(x)=0... Am I interpreting that correctly?? So we have \(f(x)=0 \quad \text{when} \quad x=1\). I dunno... This is a bit of a confusing problem. That's my guess at least.

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0ah the answer makes sense now you have stated the question @swin2013
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.