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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{x^3-2x+4}{x^5-13x^3+36x}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x^3-2x+4}{x\left(x+3\right)\left(x+2\right)\left(x-2\right)\left(x-3\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x^3-2x+4)/(x^5-13x^336x))dx. Rewrite the expression \frac{x^3-2x+4}{x^5-13x^3+36x} inside the integral in factored form. We can factor the polynomial x^3-2x+4 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 4. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^3-2x+4 will then be.
