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Integral leading to the ln of a linear quantity:

This appears to be of the form leading to a logarithmic result:

Let u = 3x - 1, du = 3dx, or .

Substituting these results, we get .

Using the Scalar Multiple rule for integration, we get .

Using the rule for integration involving the natural log, we get .

Now we substitute for u to get a result in terms of x: .

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