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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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Rewrite the fraction $\frac{x^3+7x^2-5x+5}{\left(x-1\right)^2\left(x+1\right)^2}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{2}{\left(x-1\right)^2}+\frac{4}{\left(x+1\right)^2}+\frac{1}{x-1}$
Learn how to solve problems step by step online. Find the integral int((x^3+7x^2-5x+5)/((x-1)^2(x+1)^2))dx. Rewrite the fraction \frac{x^3+7x^2-5x+5}{\left(x-1\right)^2\left(x+1\right)^2} in 4 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{2}{\left(x-1\right)^2}+\frac{4}{\left(x+1\right)^2}+\frac{1}{x-1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{\left(x-1\right)^2}dx results in: \frac{-2}{x-1}. The integral \int\frac{4}{\left(x+1\right)^2}dx results in: \frac{-4}{x+1}.
