Hello, i'm new around here. I was having trouble with a problem, i thought i could look for help on the net. Anyway here's the problem:(adsbygoogle = window.adsbygoogle || []).push({});

Calculate the volume of a solid obtained by the rotation around Ox of all points (x,y) in RxR where y >= x*x, y <= square root of x and y <= 1/(8x).

What I did was:

1/(8x) = x*x so x = 1/2

1/(8x) = square root of x so x = 1/4

And then i found the integrals which are:

+ Integral of square root of x times dx between 0 and 1/4

- Integral of x * x times dx between 0 and 1/4

+ Integral of 1/(8x) times dx between 1/4 and 1/2

- Integral of x * x times dx between 1/4 and 1/2

So this gives me the area, but i have no idea on how to calculate the volume.

Hope someone can help.

Tks...

And i'm sorry about my english, this is my first time writing math in english.

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# Integral Problem

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