Finding the are of a region between x-axis and the graph.
- Thread starter mistiksky
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What have you attempted?
What were the results?
What methods are available to you?
Do you understand that "the value of the integral" is NOT the same as "the area between the curve and the x-axis"?
Do you know an "odd" function when you see it?
Are these necessarily the same?
\(\displaystyle x^{\frac{1}{3}}\) and \(\displaystyle \sqrt[3]{x}\)
You must give us a clue where you are!
What were the results?
What methods are available to you?
Do you understand that "the value of the integral" is NOT the same as "the area between the curve and the x-axis"?
Do you know an "odd" function when you see it?
Are these necessarily the same?
\(\displaystyle x^{\frac{1}{3}}\) and \(\displaystyle \sqrt[3]{x}\)
You must give us a clue where you are!
- Joined
- Apr 12, 2005
- Messages
- 11,339
Well, there you have it. You are in the wrong book. With considerable clarity, you are not ready for this material.
Now that we've established that, let's try some new questions...
Why are you attempting this material?
Are you in a formal class? Online? Face?
Who told you that you should be in this class? Placement Test? Advisor?
What are the possibilities that you have time to back up and take the proper preliminaries?
You said you have six problems to solve. Who assigned them? How far behind are you in your course work?
Now that we've established that, let's try some new questions...
Why are you attempting this material?
Are you in a formal class? Online? Face?
Who told you that you should be in this class? Placement Test? Advisor?
What are the possibilities that you have time to back up and take the proper preliminaries?
You said you have six problems to solve. Who assigned them? How far behind are you in your course work?
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mmm4444bot
Super Moderator
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I think that you may be looking for help at the wrong site.
These boards are for students who have some idea about what they're supposed to be thinking.
If you are not able to form specific questions about this exercise, then you ought to chat-up your instructor.
HallsofIvy
Elite Member
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Have you at least drawn the graph so that you can see what "area between x-axis and the graph" means? If you are taking a course, or just reading a text, in which such a problem is asked, it is very strange that you would have no idea how the integral is related to "area under the curve". (The graph will help you see why this area is not exactly the same as the integral.) Does your book say how to integrate \(\displaystyle x^n\)? If so, how does that apply to \(\displaystyle x^{1/3}- x^1\)? (If not, get a new textbook!)
Several of the questions TKHunny asked are pretty basic algebra. If, for example, you do not know what an "odd function" is, or how to graph \(\displaystyle y= x^{1/3}- x\) you should not be attempting Calculus.
We're not trying to be mean- we can help with specific misunderstanding but we cannot teach you Calculus from scratch.
Several of the questions TKHunny asked are pretty basic algebra. If, for example, you do not know what an "odd function" is, or how to graph \(\displaystyle y= x^{1/3}- x\) you should not be attempting Calculus.
We're not trying to be mean- we can help with specific misunderstanding but we cannot teach you Calculus from scratch.
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