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Rewrite the fraction $\frac{x}{\left(x+1\right)\left(x^2+2x+5\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{x}{\left(x+1\right)\left(x^2+2x+5\right)}=\frac{A}{x+1}+\frac{Bx+C}{x^2+2x+5}$
Learn how to solve problems step by step online. Find the integral int(x/((x+1)(x^2+2x+5)))dx. Rewrite the fraction \frac{x}{\left(x+1\right)\left(x^2+2x+5\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(x^2+2x+5\right). Multiplying polynomials. Simplifying.