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. Integral from 0 to 5 of 4xdx

Which is the shape of the region being integrated?

a. Triangle or

b. Part of a circle

Find radius, or base and height?

Find area?

b. Integral from 0 to sqrt(10) of sqrt(10-h^2) dh

Which is the shape of the region being integrated?

a. Triangle or

b. Part of a circle

Find radius, or base and height?

Find area?