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Integrals involving Logarithmic Functions Calculator

Get detailed solutions to your math problems with our Integrals involving Logarithmic Functions step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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1

Here, we show you a step-by-step solved example of integrals involving logarithmic functions. This solution was automatically generated by our smart calculator:

$\int\ln\left(x-1\right)dx$
2

The integral $\int \ln\left(x-1\right)dx$ results in $\left(x-1\right)\ln\left(x-1\right)-\left(x-1\right)$

$\left(x-1\right)\ln\left|x-1\right|-\left(x-1\right)$
3

Simplify the product $-(x-1)$

$\left(x-1\right)\ln\left|x-1\right|-x+1$
4

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\left(x-1\right)\ln\left|x-1\right|-x+1+C_0$
5

We can combine and rename $1$ and $C_0$ as other constant of integration

$\left(x-1\right)\ln\left|x-1\right|-x+C_1$

Final answer to the exercise

$\left(x-1\right)\ln\left|x-1\right|-x+C_1$

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