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
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Using the rule for integration involving the natural log, we get
.
Now we substitute for u to get a result in terms of x:
.