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- Integrate by partial fractions
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- Product of Binomials with Common Term
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Rewrite the fraction $\frac{1}{x\left(0.4x+2\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{1}{2x}+\frac{-1}{5\left(0.4x+2\right)}$
Learn how to solve problems step by step online. Find the integral int(1/(x(0.4x+2)))dx. Rewrite the fraction \frac{1}{x\left(0.4x+2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{2x}+\frac{-1}{5\left(0.4x+2\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{2x}dx results in: \frac{1}{2}\ln\left(x\right). The integral \int\frac{-1}{5\left(0.4x+2\right)}dx results in: -\frac{1}{2}\ln\left(0.4x+2\right).
