Final answer to the problem
$\ln\left|x-10\right|+C_0$
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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
Subtract the values $-2$ and $-8$
$\int\frac{1}{x-10}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{1}{x-10}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x-2+-8))dx. Subtract the values -2 and -8. Apply the formula: \int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C, where b=-10 and n=1. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\ln\left|x-10\right|+C_0$
