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Expand the fraction $\frac{1+x^2}{x^3}$ into $2$ simpler fractions with common denominator $x^3$
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$\int\left(\frac{1}{x^3}+\frac{x^2}{x^3}\right)dx$
Learn how to solve problems step by step online. Find the integral int((1+x^2)/(x^3))dx. Expand the fraction \frac{1+x^2}{x^3} into 2 simpler fractions with common denominator x^3. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{x^3}+\frac{1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^3}dx results in: \frac{1}{-2x^{2}}.