vault backup: 2023-03-10 08:53:27

.obsidian/graph.json

@@ -17,6 +17,6 @@
   "repelStrength": 10,
   "linkStrength": 1,
   "linkDistance": 250,
-  "scale": 0.06654622416780386,
+  "scale": 0.22083101063975055,
   "close": true
 }

.obsidian/plugins/obsidian-completr/scanned_words.txt

@@ -30533,6 +30533,7 @@ initTopY
 intersectA
 intersectElementWithLine
 iloczynu
+idempotentności
 vK
 vE
 vD
@@ -38568,6 +38569,7 @@ bezpośrednie
 bezpośredniego
 box
 boundingBox
+ban
 jW
 je
 jz
@@ -69090,6 +69092,7 @@ zadanie
 żU
 żC
 żS
+życie
 Żk
 ŻX
 Żs

.obsidian/workspace.json

@@ -3,24 +3,6 @@
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     "type": "split",
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-        "type": "tabs",
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-            "type": "leaf",
-            "state": {
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-              "state": {
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         "type": "tabs",
@@ -31,13 +13,29 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "TC/ALGEBRA BOOLOWSKA.md",
+                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
                 "mode": "source",
                 "source": false
               }
             }
           }
         ]
+      },
+      {
+        "id": "d3cf05897c929f6a",
+        "type": "tabs",
+        "children": [
+          {
+            "id": "526908462b34b2d5",
+            "type": "leaf",
+            "state": {
+              "type": "pdf",
+              "state": {
+                "file": "AMiAL/!Materiały/calki_1.pdf"
+              }
+            }
+          }
+        ]
       }
     ],
     "direction": "vertical"
@@ -103,7 +101,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "TC/Ćwiczenia/1. Algebra Boola.md",
+                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -120,7 +118,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "TC/Ćwiczenia/1. Algebra Boola.md",
+                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
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@@ -143,7 +141,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "TC/Ćwiczenia/1. Algebra Boola.md"
+                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md"
               }
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           },
@@ -198,17 +196,22 @@
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       "zk-prefixer:Create new unique note": false,
       "audio-recorder:Start/stop recording": false,
-      "obsidian-excalidraw-plugin:Create new drawing": false
+      "obsidian-excalidraw-plugin:Create new drawing": false,
+      "breadcrumbs:Breadcrumbs Visualisation": false
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-  "active": "b73cf13cf0f76801",
+  "active": "98355ea40f905ecf",
   "lastOpenFiles": [
-    "!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md",
+    "AMiAL/!Materiały/calki_1.pdf",
-    "TC/Ćwiczenia/1. Algebra Boola.md",
+    "AMiAL/Wykłady/2 SEM/Podstawienie Eulera.md",
+    "AMiAL/Wykłady/Wykłady.md",
+    "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
+    "AMiAL/AMiAL.md",
     "TC/ALGEBRA BOOLOWSKA.md",
+    "TC/Ćwiczenia/1. Algebra Boola.md",
+    "!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md",
     "!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md",
     "!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md",
-    "AMiAL/Wykłady/Wykłady.md",
     "AMiAL/Wykłady/1 SEM/Untitled.md",
     "EiM/EiM.md",
     "EiM/Wykłady/Untitled.md",
@@ -230,14 +233,10 @@
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     "!Załączniki/Excalidraw/Scripts/Downloaded/Elbow connectors.md",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Convert freedraw to line.svg",
-    "!Załączniki/Excalidraw/Scripts/Downloaded/Convert freedraw to line.md",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Connect elements.svg",
-    "!Załączniki/Excalidraw/Scripts/Downloaded/Connect elements.md",
-    "!Załączniki/Excalidraw/Scripts/Downloaded/Box Selected Elements.md",
     "!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.svg",
     "!Załączniki/Excalidraw/Scripts/Downloaded",
     "!Załączniki/Excalidraw/Scripts",
-    "TC/Wykład/1. Optymalizacja.md",
     "!Załączniki/Recording 20230307101855.webm",
     "!Załączniki/Drawing 2022-10-28 10.29.21.excalidraw.svg",
     "!Załączniki/Recording 20230307101521.webm",
@@ -246,7 +245,6 @@
     "AMiAL/Wykłady/2 SEM",
     "TIiK/Ćwiczenia",
     "TIiK/Wykład",
-    "TIiK",
     "TC/Untitled.canvas"
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AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md

@@ -24,5 +24,9 @@ $$\int\frac{1-x^{2}}{x^{3}}dx=\int\frac{1}{x^{3}}dx+\int-\frac{x^{2}}{x^{3}}dx=\
 ## 9.
 $$\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$$
+## 10.
+$$
+\int x\sqrt[4]{x^{3}}dx = \int\sqrt[4]{x^{7}}dx=\int x^{\frac{7}{4}}dx=
+$$
 ## 18.
 $$\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$$