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Notes:
Integration by parts may be needed multiple times when solving an integral. This is why the flowchart has an arrow pointing back to the beginning.
Integration by parts can lead to integrals that cannot be solved. However, there are cases where the integral can be solved like an algebraic equation or cancelled out entirely.
Integration by Parts is often just one technique used in evaluating integrals, so you should expect other techniques will be needed when evaluating an integral via integration by parts.
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