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1、P350 34.,Analysis.,P372 19.,Analysis.,Chapter 5 Applications of Definite Integrals,5.3 Lengths of Plane Curves,5.1 Volumes by Slicing and Rotation About an Axis,5.2 Modeling Volume Using Cylindrical Shells,5.4 Springs, Pumping and Lifting,5.5 Fluid Forces,5.6 Moments and Centers of Mass,5.1,Volumes
2、by Slicing and Rotation About an Axis,5.1.1 Volumes by Slicing,5.1.2 Solids of Revolution: Circular Cross Sections,5.1.3 Solids of Revolution: Washer Cross Sections,5.1.1,Volumes by Slicing (切片法求体积),Let us find the volume of above solids,Step 1. Subdivide the interval a,b into subintervals.,Step 2.
3、Find a suitable approximation to any subinterval.,Step 3. Take the sum of above products.,Riemann sum for A on the interval a,b,Step 4. Take the limitation of Riemann sum.,Solution.,卡瓦列里（Cavalieri.B,1589-1647),Solution.,5.1.2,Solids of Revolution: Circular Cross Sections (旋转体: 圆盘形横截面),Solution.,Solution.,Solution.,Solution.,5.1.3,Solids of Revolution: Washer Cross Sections (旋转体: 垫圈形横截面),Solution.,Exercises,P402 4. P403 12, 14, 16, 20. P404 32.,
