Integral question

1. Dec 17, 2011

Miike012

How does the function equal x = y^2 I though it was y = x^1/2 ??
I highlighted this part in the picture I posted

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2. Dec 17, 2011

Frogeyedpeas

Why don't you see if those two are equal?

Try graphing them both

3. Dec 17, 2011

I like Serena

Hi Miike012!

What do you get if you square both sides of y = x1/2?

4. Dec 17, 2011

Miike012

Ok yes thats true.. I guess what I am really asking my self is why did they go with x = y^2 instead of y = x^1/2.

5. Dec 17, 2011

I like Serena

Can I assume this is about integrals?

The white area is calculated using the integral of y(x)=x1/2.
This integral calculates the area between the graph and the x-axis.

To calculate the gray area, basically the axes are swapped around, so the integral between the graph and the y-axis can be calculated.
But if you do that, the function has to be inverted as well.

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