Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
For easier handling, reorder the terms of the polynomial $-x^5+1$ from highest to lowest degree
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{t}{-x^5+1}dt$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(t/(1-x^5))dt. For easier handling, reorder the terms of the polynomial -x^5+1 from highest to lowest degree. We can factor the polynomial -x^5+1 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 1. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial -x^5+1 will then be.
