Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Expand the fraction $\frac{x-1}{x^2-16}$ into $2$ simpler fractions with common denominator $x^2-16$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{x^2-16}+\frac{-1}{x^2-16}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-1)/(x^2-16))dx. Expand the fraction \frac{x-1}{x^2-16} into 2 simpler fractions with common denominator x^2-16. Expand the integral \int\left(\frac{x}{x^2-16}+\frac{-1}{x^2-16}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x^2-16}dx results in: \ln\left(\frac{\sqrt{x^2-16}}{x}\right)-\ln\left(\frac{4}{x}\right). Gather the results of all integrals.