**Integrating surfaces and solids of revolution with ���wheels���***P(p)* is the parameter range of *P*.

Sliders to set roots of polynomial *f(p)*:

Scaling factor for polynomial *f(p)*:

*f(p)* is the function to be revolved around axis.

Area of sector (of a circle) of angle *a* :

Area of an annular (flat ring) sector with outer radius *r* , innner radius *s*, and angle *a*:

Volume of a disk-sector of radius *r*, angle *a,* and thickness *T*:

Volume of the sector of a wheel of square cross-section with outer radius *r* , innner radius *s*, angle *a*, and thickness *T* :

The __e__dges of a rectangle with left at *l*, bottom at *b*, width *w* and height *h*.*p* is the drawing parameter.

Filling in the __i__nterior of the rectangle:*u* is the horizontal and *v* is the vertical parameter.

**Plots**Dots at minimum and maximum

Plot the curve on the *xy* plane:

Rotation around the *x*-axis by the angle *a*:

Rotate the curve:

The interiors of the rectangles, at start and rotated:

function(I,K*W,0,W,(K*W)^2,u,v),in(k,set(4,5,6,7,8,9,10))

function(R_x,n*degree)*function(I,K*W,0,W,(K*W)^2,u,v),in(k,set(4,5,6,7,8,9,10))

The __w__idth of the wheels:

The edges of the rectangles, at start:

The edges of the rectangles, rotated:

The surfaces swept out by the edges:

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