vault backup: 2023-03-08 10:17:01

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

@@ -24,5 +24,5 @@ $$\int\frac{1-x^{2}}{x^{3}}dx=\int\frac{1}{x^{3}}dx+\int-\frac{x^{2}}{x^{3}}dx=\
 ## 9.
 $$\int x\sqrt{x}\ dx=
 \int x^{\frac{3}{2}}dx= \frac{x^{\frac{5}{2}}}{\frac{5}{2}}+c=\frac{2x^{\frac{5}{2}}}{5}+c$$
-18.
+## 18.
 $$\int (4^{x}+2^{-x})dx=\frac{4x}{\ln 4}+ \int (\frac{1}{2})^{x}dx=\frac{4^{x}}{\ln 4}+\frac{(\frac{1}{2})^{x}}{\ln \frac{1}{2}}+c$$