Final answer to the problem
$\left(5x-5\right)\ln\left|5x-5\right|-5x+C_1$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
The integral $\int\ln\left(5x-5\right)dx$ results in $\left(5x-5\right)\ln\left(5x-5\right)-\left(5x-5\right)$
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$\left(5x-5\right)\ln\left|5x-5\right|-\left(5x-5\right)$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(5x-5))dx. The integral \int\ln\left(5x-5\right)dx results in \left(5x-5\right)\ln\left(5x-5\right)-\left(5x-5\right). Simplify the product -(5x-5). 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 5 and C_0 as other constant of integration.
Final answer to the problem
$\left(5x-5\right)\ln\left|5x-5\right|-5x+C_1$
