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Expand the fraction $\frac{x+5}{x^2-1}$ into $2$ simpler fractions with common denominator $x^2-1$
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$\int\left(\frac{x}{x^2-1}+\frac{5}{x^2-1}\right)dx$
Learn how to solve factor problems step by step online. Find the integral int((x+5)/(x^2-1))dx. Expand the fraction \frac{x+5}{x^2-1} into 2 simpler fractions with common denominator x^2-1. Expand the integral \int\left(\frac{x}{x^2-1}+\frac{5}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\frac{x}{x^2-1}dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above.