# Integration for area and volume

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The figure shows the region bounded by the x-axis and the graph of. Use Formulas (42) and (43). Which are derived by integration by parts? To find (a) the area of this region; (b) the volume obtained by revolving this region around the y-axis.

Formula (42)

Formula (43).

See the attached files.

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#### Solution Summary

Provided is an example of using integration by parts to find area and volume. See the attached file.

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