vault backup: 2023-03-06 11:56:25

!Załączniki/20230303101829 2023-03-03 10.28.21.excalidraw.md

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+---
+
+excalidraw-plugin: parsed
+tags: [excalidraw]
+
+---
+==⚠  Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
+
+
+# Text Elements
+%%
+# Drawing
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+```
+%%

.obsidian/graph.json

@@ -17,6 +17,6 @@
   "repelStrength": 10,
   "linkStrength": 1,
   "linkDistance": 250,
-  "scale": 0.6826227075497485,
+  "scale": 0.06654622416780386,
   "close": true
 }

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

@@ -2668,6 +2668,7 @@ operacji
 oXH
 oXc
 okTp
+oilxk
 GoTo
 GS
 Gl
@@ -7901,6 +7902,7 @@ LIT
 Luv
 Ltfa
 LBO
+LZUhrZsr
 Filter
 FlateDecode
 Font
@@ -9229,6 +9231,8 @@ FBc
 FWYZLP
 FHB
 FYZj
+FOPZeXC
+Fvuflz
 stream
 sj
 sR
@@ -11850,6 +11854,8 @@ JpJ
 JiY
 JvE
 JOf
+Jest
+JUvmNTb
 xM
 xw
 xfkW
@@ -21114,6 +21120,7 @@ SNiF
 Sygnał
 Składnik
 Struktury
+Stany
 Rect
 Re
 Resources
@@ -44851,6 +44858,7 @@ lts
 literałową
 literałów
 logicznych
+ldypnypc
 Kz
 KM
 Kw
@@ -50024,6 +50032,7 @@ WQWSCF
 Występuje
 Wklejania
 Wiv
+Wbi
 rM
 ra
 rv
@@ -53957,6 +53966,7 @@ wartości
 wszystkich
 wymiernych
 wEW
+wWGA
 pDJ
 parenleftbigg
 parenrightbigg
@@ -55316,6 +55326,7 @@ pełny
 prosty
 przyjmuje
 przestaje
+prund
 HD
 Ho
 Hg
@@ -60488,6 +60499,7 @@ Zakłócenia
 ZLOTXN
 ZuX
 ZXMFDH
+ZMuPdZsY
 mD
 ma
 mj
@@ -63130,6 +63142,7 @@ niekoniecznie
 neJ
 nBS
 njWw
+nieustalone
 gNx
 gHI
 gri

.obsidian/workspace.json

@@ -4,51 +4,33 @@
     "type": "split",
     "children": [
       {
-        "id": "3c47caaa0679dbad",
+        "id": "aa70554fcaaa4a55",
         "type": "tabs",
         "children": [
           {
-            "id": "a1be2d379fe1a8a8",
+            "id": "3356413dd71e0a1e",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "AMiAL/Wykłady/Wykłady.md",
+                "file": "Elektrotechnika/Ćwiczenia/20230303101829.md",
                 "mode": "source",
                 "source": false
               }
             }
           },
           {
-            "id": "5d3247ff23950d42",
+            "id": "7c19413a18f8dc1e",
             "type": "leaf",
             "state": {
-              "type": "markdown",
+              "type": "release-notes",
               "state": {
-                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
+                "currentVersion": "1.1.16"
-                "mode": "source",
-                "source": false
               }
             }
           }
         ],
         "currentTab": 1
-      },
-      {
-        "id": "4407a5afaa10cf0b",
-        "type": "tabs",
-        "children": [
-          {
-            "id": "7fc08672b85d53c5",
-            "type": "leaf",
-            "state": {
-              "type": "pdf",
-              "state": {
-                "file": "AMiAL/!Materiały/calki_1.pdf"
-              }
-            }
-          }
-        ]
       }
     ],
     "direction": "vertical"
@@ -114,7 +96,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
+                "file": "Elektrotechnika/Ćwiczenia/20230303101829.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -131,7 +113,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
+                "file": "Elektrotechnika/Ćwiczenia/20230303101829.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -154,7 +136,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md"
+                "file": "Elektrotechnika/Ćwiczenia/20230303101829.md"
               }
             }
           },
@@ -209,40 +191,39 @@
       "markdown-importer:Open format converter": false,
       "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
     }
   },
-  "active": "5d3247ff23950d42",
+  "active": "7c19413a18f8dc1e",
   "lastOpenFiles": [
+    "AiSD/AiSD.md",
+    "!Załączniki/20230303101829 2023-03-03 11.22.36.excalidraw.md",
+    "Elektrotechnika/Ćwiczenia/20230303101829.md",
+    "!Załączniki/20230303101829 2023-03-03 10.57.24.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.52.58.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.50.14.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.48.45.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.37.30.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.33.57.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.30.28.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.28.21.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.22.33.excalidraw.md",
+    "!Załączniki/20230303101829 2023-03-03 10.18.36.excalidraw.md",
+    "AMiAL/AMiAL.md",
+    "AMiAL/Wykłady/Wykłady.md",
+    "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md",
     "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 5.md",
     "AMiAL/Ćwiczenia/Zadania/Untitled.md",
     "AMiAL/!Materiały/calki_1.pdf",
     "Untitled.md",
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-    "AMiAL/Wykłady/Wykłady.md",
     "AMiAL/Ćwiczenia/2 SEM",
     "AMiAL/Ściągi.md",
     "TC/TC.md",
     "TC/ALGEBRA BOOLOWSKA.md",
-    "AMiAL/AMiAL.md",
-    "AiSD/AiSD.md",
     "TC/Wykład/0. Wstęp.md",
     "TC/Wykład/1. Optymalizacja.md",
     "TC/Laboratorium/Laboratorium.md",
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-    "!Załączniki/0. Wstęp 2023-03-01 09.43.45.excalidraw.md",
-    "!Załączniki/0. Wstęp 2023-03-01 09.41.03.excalidraw.md",
-    "!Załączniki/0. Wstęp 2023-03-01 09.36.40.excalidraw.md",
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 }

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

@@ -1,6 +1,26 @@
 # Obliczyć całki.
 ## 1
-$$\int x^{2}(1-x)dx=\int x^{2}-x^{3}dx=$$
+$$\int x^{2}(1-x)dx=\int x^{2}-x^{3}dx=\int x^{2}dx+\int-x^{3}dx=\frac{x^{3}}{3}+\frac{-x^{4}}{4}+C$$
+## 2 
+$$\int x^{-2}dx=-x^{-1}+C$$
+## 3
+$$\int \frac{dx}{10x}=\ln|10x|+C$$
+## 4
+$$\int \frac{dx}{3x^{4}}=\ln|3x^{4}|+C$$
+## 5
+$$\int\left(\frac{3}{x^{2}}+\frac{4}{x^{3}}\right)dx=\int\frac{3}{x^{2}}dx+\int\frac{4}{x^{3}}dx=3\ln|x^{2}|+4\ln|x^{3}|+C$$
+## 6
+$$\begin{gathered}
+
+\int\frac{(3-x)^{2}}{x^{3}}dx=\int\frac{9-6x+x^{2}}{x^{3}}dx=\int\frac{9}{x^{3}}dx+\int\frac{-6x}{x^3}dx+\int\frac{x^{2}}{x^{3}}dx=
+\newline
+\newline
+9\ln|x^{3}|-6\ln|x^2|+\ln|x|+C
+\end{gathered}
+$$
+## 7
+$$\int\frac{1-x^{2}}{x^{3}}dx=\int\frac{1}{x^{3}}dx+\int-\frac{x^{2}}{x^{3}}dx=\ln|x^{3}|-\ln|x|$$
+
 ## 9.
 $$\int x\sqrt{x}\ dx=
 \int x^{\frac{3}{2}}dx= \frac{x^{\frac{5}{2}}}{\frac{5}{2}}+c=\frac{2x^{\frac{5}{2}}}{5}+c$$

Elektrotechnika/Ćwiczenia/20230303101829.md

@@ -0,0 +1,36 @@
+![[20230303101829 2023-03-03 10.18.36.excalidraw]]
+
+![[20230303101829 2023-03-03 10.22.33.excalidraw]]
+
+Stany nieustalone:
+![[20230303101829 2023-03-03 10.28.21.excalidraw]]
+
+![[20230303101829 2023-03-03 10.30.28.excalidraw]]
+
+![[20230303101829 2023-03-03 10.33.57.excalidraw]]
+
+
+
+
+
+Jest prund.
+
+![[20230303101829 2023-03-03 10.37.30.excalidraw]]
+
+![[20230303101829 2023-03-03 10.48.45.excalidraw]]
+
+![[20230303101829 2023-03-03 10.50.14.excalidraw]]
+
+![[20230303101829 2023-03-03 10.52.58.excalidraw]]
+
+
+![[20230303101829 2023-03-03 10.57.24.excalidraw]]
+
+
+
+
+![[20230303101829 2023-03-03 11.22.36.excalidraw]]
+
+
+
+