Each of the following integrals represents the area of either a triangle or part of a circle, and the variable of integration measures a distance. In each case, say which shape is represented, and give the radius of the circle or base and height of the triangle. You will find it useful to make a sketch of the region, showing the slice used to find the integral, labeling the variable and differential on your sketch. Then evaluate the integral to find the area.

A. $\int_0^{3} 2 x\,dx$
Which is the shape of the region being integrated?
A. Triangle
B. Part of a circle

radius, or base and height =
(If you are entering a base and height, enter them separated by a comma, e.g., 4, 3)

area =

B. $\int_0^{\sqrt{5}} \sqrt{5 - h^2}\,dh$
Which is the shape of the region being integrated?
A. Triangle
B. Part of a circle

radius, or base and height =
(If you are entering a base and height, enter them separated by a comma, e.g., 4, 3)

area =