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## 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

[tex]\int\int[/tex]dydx for 0<=x<=1 and 0<=y<=[tex]\sqrt{x}[/tex]

## The Attempt at a Solution

i rearanged the limits so the equation becomes

[tex]\int\int[/tex]dxdy for 0<=x<=y

^{2}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 I am obviously doing something wrong. can someone help? have i even written the second equation right?