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Expand the fraction $\frac{5x+3}{x^2-9}$ into $2$ simpler fractions with common denominator $x^2-9$
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$\int\left(\frac{5x}{x^2-9}+\frac{3}{x^2-9}\right)dx$
Learn how to solve problems step by step online. Find the integral int((5x+3)/(x^2-9))dx. Expand the fraction \frac{5x+3}{x^2-9} into 2 simpler fractions with common denominator x^2-9. Simplify the expression inside the integral. We can solve the integral 5\int\frac{x}{x^2-9}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.