Volume using Integrals | Slicing | Disk method | Washer method | Shell method |||| Arc Length | Area
In this video, the application of finite integral are extended to calculate the volumes using the cross-sectional area by sling with parallel planes and by revolution of curve along a line that creates the cross-sectional area as disk or washer. Again, allowing to use finite integral for calculating volume as integral of cross-sectional area from in point a to b. Also, the shell method is discussed to calculate the volume of an plane region rotated about the vertical or horizontal axis. The method to calculate the length of curve and the surface area generated due to rotation of arc is also discussed with examples.
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