God does not care about our mathematical difficulties. He integrates empirically.

Albert Einstein

sections:

      7.1, 7.2, 7.3, 7.4, 7.5, 7.6, and 7.7

This chapter presents application problems that can be solved by integration.

objectives:

• find the area of a region between two curves
• determine the points of intersection of two curves
• compute the volume of a solid of revolution by the disk method
• compute the volume of a solid of revolution by the washer method
• compute the volume of a solid of revolution by the shell method
• compute the volume of a solid with a know cross-section
• define arc length
• calculate the length of a curve
• compute the area of a surface of revolution by the shell method
• define the work done by a constant force
• compute the work done by a variable force
• define mass
• describe density
• find the center of mass of a one-dimensional system
• find the center of mass of a two-dimensional system
• discuss the Therem of Pappus
• define centroid
• find the centroid of a plane region
• compute fluid pressure
• calculate fluid force
• discuss Pascal's Principle