** Final answer to the problem

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** Step-by-step Solution **

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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 $\frac{x+7}{x^2+2x-3}$ inside the integral in factored form

Learn how to solve integrals by partial fraction expansion problems step by step online.

$\int\frac{x+7}{\left(x-1\right)\left(x+3\right)}dx$

Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x+7)/(x^2+2x+-3))dx. Rewrite the expression \frac{x+7}{x^2+2x-3} inside the integral in factored form. Rewrite the fraction \frac{x+7}{\left(x-1\right)\left(x+3\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x-1\right)\left(x+3\right). Multiplying polynomials.

** Final answer to the problem

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