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Rewrite the fraction $\frac{1}{x\left(1+x\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{1}{x\left(1+x\right)}=\frac{A}{x}+\frac{B}{1+x}$
Learn how to solve problems step by step online. Find the integral int(1/(x(1+x)))dx. Rewrite the fraction \frac{1}{x\left(1+x\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 x\left(1+x\right). Multiplying polynomials. Simplifying.