# Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Solution 1

We have to start by drawing the following curves to see the domain of integration

and are just horizontal lines at and respectively (shown below).

represents a line

represents half a circle of radius defined for . In our case, only the part of the half circle in the first quadrant is necessary because of and .

As a result, the domain of integration is the area bounded by these four curves.