Chapter 6.1, Problem 3QCE

(a) The points of intersection for the circle $x^2+y^2=4$ and the line $y=x+2$ are $\text{\_\_\_\_\_\_\_}$ and $\text{\_\_\_\_\_\_\_}$ .

(b) Expressed as a definite integral with respect to $x\text{\_\_\_\_\_\_\_}$ , gives the area of the region inside the circle $x^2+y^2=4$ and above the line $y=x+2$ .

(c) Expressed as a definite integral with respect to $y$ , $\text{\_\_\_\_\_\_\_}$ gives the area of the region described in part (b).