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If we are only able to integrate one of the functions, then we simply need to select that as *dv*/*dx*.

If we can integrate both functions then a god tip is to select the one you should differentiate as the function that in some way simplifies the next step by for example lowering the grade.

If one is a logarithm we may choose it, since a logarithm will turn to a reciprocal.

Example:

Another example

Here we can see that the integral has turned into itself, but with opposite sign. From this we get

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