5.4 Indefinite Integrals and the Net Change Theorem/5: Difference between revisions
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<math>\int_{}^{}\left(x^2+x^-2\right)dx | <math>\int_{}^{}\left(x^2+x^(-2)\right)dx | ||
= | =\int_{}^{}\left((x^2)dx)+((x^-2\right)dx) | ||
= | =\frac{x^3}{3}+\frac{x^-1}{-1}+C | ||
= | =\frac{1}{3}x^3-\frac{1}{x}+C | ||
</math> | |||
Revision as of 17:19, 13 September 2022
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int _{}^{}\left(x^{2}+x^{(}-2)\right)dx=\int _{}^{}\left((x^{2})dx)+((x^{-}2\right)dx)={\frac {x^{3}}{3}}+{\frac {x^{-}1}{-1}}+C={\frac {1}{3}}x^{3}-{\frac {1}{x}}+C}