vault backup: 2023-03-10 09:03:26

.obsidian/workspace.json

@@ -6,6 +6,7 @@
       {
         "id": "6cac8048b3de6e65",
         "type": "tabs",
+        "dimension": 51.910828025477706,
         "children": [
           {
             "id": "98355ea40f905ecf",
@@ -24,6 +25,7 @@
       {
         "id": "d3cf05897c929f6a",
         "type": "tabs",
+        "dimension": 48.089171974522294,
         "children": [
           {
             "id": "526908462b34b2d5",

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

@@ -26,7 +26,7 @@ $$\int x\sqrt{x}\ dx=
 \int x^{\frac{3}{2}}dx= \frac{x^{\frac{5}{2}}}{\frac{5}{2}}+c=\frac{2x^{\frac{5}{2}}}{5}+c$$
 ## 10.
 $$
-\int x\sqrt[4]{x^{3}}dx = \int\sqrt[4]{x^{7}}dx=\int x^{\frac{7}{4}}dx=
+\int x\sqrt[4]{x^{3}}dx = \int\sqrt[4]{x^{7}}dx=\int x^{\frac{7}{4}}dx=\frac{x^{\frac{11}{4}}}{\frac{11}{4}}+C=\frac{4x^{\frac{11}{4}}}{11}+C=\frac{8\sqrt[4]{x^{3}}}{11}+C
 $$
 ## 18.
 $$\int (4^{x}+2^{-x})dx=\frac{4x}{\ln 4}+ \int (\frac{1}{2})^{x}dx=\frac{4^{x}}{\ln 4}+\frac{(\frac{1}{2})^{x}}{\ln \frac{1}{2}}+c$$