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Rewrite the fraction $\frac{x+7}{x^2\left(x+2\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{7}{2x^2}+\frac{5}{4\left(x+2\right)}+\frac{-5}{4x}$
Learn how to solve problems step by step online. int((x+7)/(x^2(x+2)))dx. Rewrite the fraction \frac{x+7}{x^2\left(x+2\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{7}{2x^2}+\frac{5}{4\left(x+2\right)}+\frac{-5}{4x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{7}{2x^2}dx results in: \frac{7}{-2x}. The integral \int\frac{5}{4\left(x+2\right)}dx results in: \frac{5}{4}\ln\left(x+2\right).
