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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Expand the fraction $\frac{x-1}{x^2-16}$ into $2$ simpler fractions with common denominator $x^2-16$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\left(\frac{x}{x^2-16}+\frac{-1}{x^2-16}\right)dx$
Learn how to solve integrals by partial fraction expansion 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: \frac{1}{2}\ln\left(x+4\right)+\frac{1}{2}\ln\left(x-4\right). Gather the results of all integrals.
