# Double int reversing

## Homework Statement

sketch the region of integration and write an equivalent integral with order of integration reversed. Then evaluate both integrals to confirm their equality

## Homework Equations

$$\int\int$$dydx for 0<=x<=1 and 0<=y<=$$\sqrt{x}$$

## The Attempt at a Solution

i rearanged the limits so the equation becomes
$$\int\int$$dxdy for 0<=x<=y2 and 0<=y<=1

but my calculations for the first equation came to 2/3 and the second equation came to 1/3

plus the answer is 1/6 so im obviously doing something wrong. can someone help? have i even written the second equation right?