vault backup: 2023-04-14 10:25:25

AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md

@@ -49,6 +49,15 @@ $$
 $$
 \begin{gather}
 \int \frac{1}{\sqrt[3]{x^{2}}}dx=\int\sqrt[3]{x^{2}}^{-1}dx=\int ((x^{2})^{\frac{1}{3}})^{-1}dx=\int x^{-\frac{2}{3}}dx=3x^{\frac{1}{3}}+C
+\end{gather}
+$$
+## 14. 
+$$
+\begin{gather}
+
+\int\frac{x^{2}-x-2}{\sqrt[3]{x^{2}}}dx=\int\frac{x^{2}-x-2}{x^{\frac{2}{3}}}dx=\int \frac{x^{2}}{x^{\frac{2}{3}}}dx-\int \frac{x}{x^{\frac{2}{3}}}dx-\int \frac{2}{x^{\frac{2}{3}}}dx=\\
+=
+
 \end{gather}
 $$
 ## 18.