# Integration by parts

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In this problem I am asked to use integration by parts utilizing the formula:

∫udv = uv - ∫vdu

Please show the values of u, dv, du, and v and the steps to achieve the solution. Then show the final value after substitution of the limits. Thank you.

∫xÂ³lnxdx

1≤x≤e

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#### Solution Summary

This provides an example of integration by parts.

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