Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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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Find the integral
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$\int\frac{\frac{\frac{x^2+5x+6}{x^2-1}\left(x^2+2x-3\right)}{3x+6}\left(x+1\right)}{-x^2+6x-9}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (((x^2+5x+6)/(x^2-1)(x^2+2x+-3))/(3x+6)(x+1))/(-x^2+6x+-9). Find the integral. Factor the trinomial \left(x^2+2x-3\right) finding two numbers that multiply to form -3 and added form 2. Thus. Rewrite the expression \frac{\frac{\frac{x^2+5x+6}{x^2-1}\left(x-1\right)\left(x+3\right)}{3x+6}\left(x+1\right)}{-x^2+6x-9} inside the integral in factored form.