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} 3 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 =