## Unit 8 Learning Outcomes

Upon successful completion of this unit, you will be able to:

• find the area between two curves;
• find the volumes of solids using ideas from geometry;
• find the volumes of solids of revolution using disks and washers;
• find the volumes of solids of revolution using shells;
• write and interpret a parameterization for a curve;
• find the length of a curve;
• find the surface area of a solid of revolution;
• compute the average value of a function;
• use integrals to compute the displacement and the total distance traveled;
• use integrals to compute moments and centers of mass; and
• use integrals to compute work.