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The volume of the solid obtained by rotating the region enclosed by ?=?4?+1,?=0,?=0,?=1y=e4x+1,y=0,x=0,x=1 about the x-axis...

The volume of the solid obtained by rotating the region enclosed by

?=?4?+1,?=0,?=0,?=1y=e4x+1,y=0,x=0,x=1

about the x-axis can be computed using the method of disks or washers via an integral

?=∫??V=∫ab    ?    dx    dy   


with limits of integration ?=a=  and ?=b=  .

The volume is ?=V=  cubic units.

Math   Calculus   
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