From 484d7513157070a3b4ac947d8350b6ea69db23f4 Mon Sep 17 00:00:00 2001
From: VectorKappa <piotrpatalong@gmail.com>
Date: Fri, 10 Mar 2023 09:03:26 +0100
Subject: [PATCH] vault backup: 2023-03-10 09:03:26

---
 .obsidian/workspace.json                   | 2 ++
 AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md | 2 +-
 2 files changed, 3 insertions(+), 1 deletion(-)

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 3c3b311..9786cd6 100644
--- a/.obsidian/workspace.json
+++ b/.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",
diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md
index 52d4626..6a2b857 100644
--- a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md	
+++ b/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.
 $$\int (4^{x}+2^{-x})dx=\frac{4x}{\ln 4}+ \int (\frac{1}{2})^{x}dx=\frac{4^{x}}{\ln 4}+\frac{(\frac{1}{2})^{x}}{\ln \frac{1}{2}}+c$$
\ No newline at end of file