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Integral of a Linear Function Times Its Logarithm
For a suitable linear expression $$ax+b$$:
$$\int(ax+b)\ln(ax+b)\,dx=\frac{(ax+b)^2}{2a}\ln|ax+b|-\frac{(ax+b)^2}{4a}+C$$
Usage
- Used for products involving a linear function and its logarithm.
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Integral of a Linear Function Times Its Logarithm
For a suitable linear expression $$ax+b$$:
$$\int(ax+b)\ln(ax+b)\,dx=\frac{(ax+b)^2}{2a}\ln|ax+b|-\frac{(ax+b)^2}{4a}+C$$
Usage
- Used for products involving a linear function and its logarithm.
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