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- Integrate by partial fractions
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Take the constant $\frac{1}{6}$ out of the integral
Learn how to solve integrals of rational functions problems step by step online.
$\frac{1}{6}\int\frac{2x-7}{x^2\left(5x+1\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x-7)/(6x^2(5x+1)))dx. Take the constant \frac{1}{6} out of the integral. Rewrite the fraction \frac{2x-7}{x^2\left(5x+1\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-7}{x^2}+\frac{-185}{5x+1}+\frac{37}{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \frac{1}{6}\int\frac{-7}{x^2}dx results in: \frac{7}{6x}.
