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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{1}{y^2-16}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{1}{\left(y+4\right)\left(y-4\right)}dy$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(y^2-16))dy. Rewrite the expression \frac{1}{y^2-16} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(y+4\right)\left(y-4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{8\left(y+4\right)}+\frac{1}{8\left(y-4\right)}\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-1}{8\left(y+4\right)}dy results in: -\frac{1}{8}\ln\left|y+4\right|.