Final answer to the problem
$\ln\left|x+4\right|+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Simplify the fraction $\frac{x-4}{x^2-16}$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{1}{x+4}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-4)/(x^2-16))dx. Simplify the fraction \frac{x-4}{x^2-16}. Apply the formula: \int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C, where b=4 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
$\ln\left|x+4\right|+C_0$
