5.4 Indefinite Integrals and the Net Change Theorem/5: Difference between revisions

Latest revision as of 19:39, 21 September 2022

$\int \left(x^{2}+x^{-2}\right)dx={\frac {x^{3}}{3}}+{\frac {x^{-2+1}}{-2+1}}+C={\frac {x^{3}}{3}}-{\frac {1}{x}}+C$

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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^{-2+1}}{-2+1}+C
-=\frac{x^3}{3}+\frac{x^-1}{-1}+C
+=\frac{x^3}{3}-\frac{1}{x}+C
-=\frac{1}{3}x^3-\frac{1}{x}+C
 </math>