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## Homework Statement

Consider the integral shown in the sketch. Sketch the region of integration and 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 shaded the area of integration but I am not sure whether it is the right area. How do I know which area of integration to use? And secondly, when you choose your x limits, do you draw a horizontal line that passes through the y- axis and through the sketched functions? Likewise when you choose your y limits, do you draw a vertical line that passes through the x axis and through the sketched functions? Also just wondering whether the shaded area is only half of the region to integrate? Maybe I could only integrate that half area and double the answer?