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- Integrate by partial fractions
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Rewrite the fraction $\frac{7x+3}{\left(x+4\right)\left(x-1\right)}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{5}{x+4}+\frac{2}{x-1}$
Learn how to solve problems step by step online. Find the integral int((7x+3)/((x+4)(x-1)))dx. Rewrite the fraction \frac{7x+3}{\left(x+4\right)\left(x-1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{5}{x+4}+\frac{2}{x-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{5}{x+4}dx results in: 5\ln\left(x+4\right). The integral \int\frac{2}{x-1}dx results in: 2\ln\left(x-1\right).
