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
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Rewrite the fraction $\frac{x^2+x+3}{\left(x^2-1\right)^2\left(x^2+5x+11\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{x^2+x+3}{\left(x^2-1\right)^2\left(x^2+5x+11\right)}=\frac{Ax+B}{\left(x^2-1\right)^2}+\frac{Cx+D}{x^2+5x+11}+\frac{Fx+G}{x^2-1}$
Learn how to solve problems step by step online. Find the integral int((x^2+x+3)/((x^2-1)^2(x^2+5x+11)))dx. Rewrite the fraction \frac{x^2+x+3}{\left(x^2-1\right)^2\left(x^2+5x+11\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F, G. The first step is to multiply both sides of the equation from the previous step by \left(x^2-1\right)^2\left(x^2+5x+11\right). Multiplying polynomials. Simplifying.