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# Ratio of area for y=x^n watch

1. I'm trying to find the ratio of the areas formed for the equation , between and the x axis and and the y axis

When it is:

the area i get for x is and for y is

Ratio is then 3:1

the area i get for x is and for y is

the ratio is then 4:1

I speculate then that the ratio would be:

However, when I then test other real numbers like fractions/irrational numbers, it doesn't seem to work. What am I doing wrong?
2. 1. Does the question say that n must be an integer (or might it be implied at the level of maths you are doing)?

2. Did you use a calculator or not to work out the areas? (though I don't really see why it should make a difference)?
3. (Original post by LeeC)
1. Does the question say that n must be an integer (or might it be implied at the level of maths you are doing)?
It says 'calculate the ratio for , nEZ (positive integers). But then it says 'test to see if this holds for other subsets of the real numbers'

2. Did you use a calculator or not to work out the areas? (though I don't really see why it should make a difference)?
I used a calculator and graphing software
4. Well then yeh you got the ratio for the positive integers, and no, it doesnt work for other subsets of the real numbers (at least the ones you've tried).
5. So my ratio of is right? but it doesn't work for other real numbers like fractions/irrational numbers. does it work for other real numbers?
6. Yeh if it works then it is right! I', sure you can check it for youself lol...but I wouldnt know about other real numbers at all...you would have to try different sets of reals (or ask somebody who knows more than me about this)

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Updated: November 9, 2008
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