Tuesday, 21 January 2014

Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the...

These curves are intersected at and


Between these points



Let's use the method of rings.


The parameter of a ring is between and


The area of a ring is


Therefore the volume is equal to



Computer algebra system WolframAlpha says that the exact value is

These curves are intersected at and


Between these points



Let's use the method of rings.


The parameter of a ring is between and


The area of a ring is


Therefore the volume is equal to



Computer algebra system WolframAlpha says that the exact value is

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