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eActivities


Calculus

Integrals and Volume

In these eActivities we will find the volume generated by rotating curves around the x- or y-axis. Because Volume=unit³, think of the expression squared as two of the measures and dx as the third. Check out these four eActivities, discover how to find the volume and then see how much you have learned with a short quiz.

Download these eActivities.

1. Volume dx f(x)

Created by rotating a curve bounded by two vertical lines about the x-axis.

2. Volume dx f(x)-g(x)

Created by rotating two curves about the x-axis.

3. Volume dy f(y)

Created by rotating a curve bounded by two horizontal lines about the y-axis.

4. Volume dy f(y)-g(y)

Created by rotating two curves about the y-axis.

5. Volume Quiz

Your chance to try out what you have learned!

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