Final answer to the problem
$\left(x-1\right)\ln\left|x-1\right|-x+C_1$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
The integral $\int\ln\left(x-1\right)dx$ results in $\left(x-1\right)\ln\left(x-1\right)-\left(x-1\right)$
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$\left(x-1\right)\ln\left|x-1\right|-\left(x-1\right)$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(x-1))dx. The integral \int\ln\left(x-1\right)dx results in \left(x-1\right)\ln\left(x-1\right)-\left(x-1\right). Simplify the product -(x-1). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. We can combine and rename 1 and C_0 as other constant of integration.
Final answer to the problem
$\left(x-1\right)\ln\left|x-1\right|-x+C_1$
