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Rewrite the expression $\frac{3x}{x^2-6x+9}$ inside the integral in factored form
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$\int\frac{3x}{\left(x-3\right)^{2}}dx$
Learn how to solve differential calculus problems step by step online. Find the integral int((3x)/(x^2-6x+9))dx. Rewrite the expression \frac{3x}{x^2-6x+9} inside the integral in factored form. Take out the constant 3 from the integral. Rewrite the fraction \frac{x}{\left(x-3\right)^{2}} 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-3\right)^{2}.