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## Homework Statement

I'm doing an integration by parts problem. After setting up [∫udv = uv - ∫vdu], I come across this situation. How is this algebraic manipulation accomplished?

From: [itex]\int\frac{x^{3}}{1+x^{2}}dx[/itex]

To: [itex]\int x - \frac{x}{1+x^{2}}dx[/itex]