Final answer to the problem
$\frac{-1+2x^{2}}{4x^{4}}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Expand the fraction $\frac{1-x^2}{x^5}$ into $2$ simpler fractions with common denominator $x^5$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{1}{x^5}+\frac{-x^2}{x^5}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((1-x^2)/(x^5))dx. Expand the fraction \frac{1-x^2}{x^5} into 2 simpler fractions with common denominator x^5. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{x^5}+\frac{-1}{x^{3}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^5}dx results in: \frac{1}{-4x^{4}}.
Final answer to the problem
$\frac{-1+2x^{2}}{4x^{4}}+C_0$
