Main Part

Solids of revolution

What is a solid of revolution?

We define a solid of revolution and discuss how to find the volume of one in two different ways.

The washer method

We use the procedure of “Slice, Approximate, Integrate" to develop the washer method to compute volumes of solids of revolution.

The shell method

We use the procedure of “Slice, Approximate, Integrate"to develop the shell method to compute volumes of solids of revolution.

Comparing washer and shell method

We compare and contrast the washer and shell method.

Length of curves

Length of curves

We can use the procedure of “Slice, Approximate, Integrate" to find the length of curves.

Applications of integration

Physical applications

We apply the procedure of “Slice, Approximate, Integrate” to model physical situations.

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