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When you integrate by parts, you generally want to select part of a function that can be differentiated easily (and also, simplifiable), and the rest of it be easily integrable. For example, the integral of x2sin(x) dx is quite simple since we can choose u = x2 --> du = 2xdx, and dv = sin(x)dx, v = -cos(x), and go on from there. However this would require applying parts twice.

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Q: How to select 1st function in integration by parts?
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