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- Integrate by substitution
- Integrate by partial fractions
- 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
- FOIL Method
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Rewrite the fraction $\frac{3x^2+x+1}{\left(x-1\right)^2\left(x^2+4\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{3x^2+x+1}{\left(x-1\right)^2\left(x^2+4\right)}=\frac{A}{\left(x-1\right)^2}+\frac{Bx+C}{x^2+4}+\frac{D}{x-1}$
Learn how to solve problems step by step online. Find the integral int((3x^2+x+1)/((x-1)^2(x^2+4)))dx. Rewrite the fraction \frac{3x^2+x+1}{\left(x-1\right)^2\left(x^2+4\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x-1\right)^2\left(x^2+4\right). Multiplying polynomials. Simplifying.