Area and volume of solids of rotation

Besides finding areas below a curve definite integration can be applied to finding surface areas and volume of bodies created by rotating the curve of some fucntion about x-axis. We will calculate and show surface area and volume of one such rotational solid.

slika1 slika2

Volume of such body is given by

slika3

and the surface

slika4

Funciton of variable x which generats rotational solid:
f(x)=
y-axis parallels a and b bounding the figure:	a =	b =

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Aleksandar Grujić Đajić, Created with GeoGebra