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## Homework Statement

Consider the integral shown in the attached diagram. Sketch the region of integration, express the integral with the reverse order of integration and evaluate it leaving your answer in surd form.

## Homework Equations

## The Attempt at a Solution

I have drawn the region in the diagram and hope its correct.

I am getting the limits for the reversed order as 0<=x<=1 and for y i am not sure. I tried but i ended up with the same thing square root of x <= y <= 1. That is definitely not right! Could anyone please help me out?

The way I do it is for x limits for the reversed order, I draw a horizontal line passing through the sketched region and for the y limits, it is a vertical line passing through the sketched region. Is there a more effective way cause i keep getting stuck with this method?

Thanks heaps.

Thanks.