# What is the washer method formula?

The general "formula" is integrate (area of large disk - area of small disk) times thickness.

Any attempt to give a more specific "formula" looks very complicated to me.

Here are a couple of pointers that may be helpful:

For the Washer Method

The functions used for the radii, must have the same independent variable as the differential.

If the graphs of the functions cross each other of the line about which we are rotating, that must be taken into account.

If two region must be broken into two or more pieces to, then the volume must be calculated by using two or more integral.

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The formula for the washer method in calculus is:

[ V = \pi \int_{a}^{b} (R^2 - r^2) , dx ]

Where:

- ( V ) is the volume of the solid generated by rotating the region between two functions about the x-axis.
- ( R ) is the outer radius of the region.
- ( r ) is the inner radius of the region.
- ( a ) and ( b ) are the limits of integration along the x-axis.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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