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Mathematics 10 Online
OpenStudy (nathanjhw):

Find the area of the region bounded by the curves y = x^–1/2, y = x^–2, y = 1, and y = 3.

OpenStudy (nathanjhw):

@phi

OpenStudy (phi):

did you solve the previous problem?

OpenStudy (nathanjhw):

yes I did, sorry I was away and came back to it.

OpenStudy (nathanjhw):

I believe the answer is integral (1,3) x^-1/2 - x^-2

OpenStudy (nathanjhw):

Which would give me 2sqrt3 - 8/3

OpenStudy (nathanjhw):

Is that correct?

OpenStudy (phi):

Here is a plot

OpenStudy (nathanjhw):

So does that mean it is actually integral (3,1) or was I right?

OpenStudy (phi):

you have to think more clearly do you get the idea of "thin rectangles" ? you have two choices: |dw:1427925902521:dw|

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