Esta es la presentación en el pizarrón electrónico de ejercicios típicos para el tercer examen parcial de mi curso de Cálculo integral.

1. Third Partial Review.

2. 1. For the shaded region, (a) form the integral that represents the area of the
shaded region and (b) find the area of the region.

3. 2. Set up and solve the definite integral that gives the area of the region.

4. 3. (a) Sketch the graph of the curves and (b) find the area of the
region.

5. 4. Find the volume of the solid of revolution generated by revolving about the
x-axis the region under each of the following curves.
from x = 0 to x = 4 (The solid generated is called a paraboloid).

6. from x = 0 to x = r.