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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{289}{x^3-17x^2}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{289}{x^2\left(x-17\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(289/(x^3-17x^2))dx. Rewrite the expression \frac{289}{x^3-17x^2} inside the integral in factored form. Rewrite the fraction \frac{289}{x^2\left(x-17\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-17}{x^2}+\frac{1}{x-17}+\frac{-1}{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-17}{x^2}dx results in: \frac{17}{x}.
