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Expand the integral $\int\left(x+\frac{3}{x^2-9}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int xdx+\int\frac{3}{x^2-9}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x+3/(x^2-9))dx. Expand the integral \int\left(x+\frac{3}{x^2-9}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Factor the difference of squares x^2-9 as the product of two conjugated binomials. Rewrite the fraction \frac{3}{\left(x+3\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+3\right)\left(x-3\right).