diff --git a/.obsidian/graph.json b/.obsidian/graph.json index cbadafc..8a9a6ab 100644 --- a/.obsidian/graph.json +++ b/.obsidian/graph.json @@ -17,6 +17,6 @@ "repelStrength": 10, "linkStrength": 1, "linkDistance": 250, - "scale": 0.06654622416780386, + "scale": 0.22083101063975055, "close": true } \ No newline at end of file diff --git a/.obsidian/plugins/obsidian-completr/scanned_words.txt b/.obsidian/plugins/obsidian-completr/scanned_words.txt index e6ef611..a8ea3a2 100644 --- a/.obsidian/plugins/obsidian-completr/scanned_words.txt +++ b/.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 diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 3934019..3c3b311 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -3,24 +3,6 @@ "id": "dc984442dd3bdc54", "type": "split", "children": [ - { - "id": "aa70554fcaaa4a55", - "type": "tabs", - "children": [ - { - "id": "b73cf13cf0f76801", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "TC/Ćwiczenia/1. Algebra Boola.md", - "mode": "source", - "source": false - } - } - } - ] - }, { "id": "6cac8048b3de6e65", "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 } @@ -143,7 +141,7 @@ "state": { "type": "outline", "state": { - "file": "TC/Ćwiczenia/1. Algebra Boola.md" + "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md" } } }, @@ -198,17 +196,22 @@ "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": "b73cf13cf0f76801", + "active": "98355ea40f905ecf", "lastOpenFiles": [ - "!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md", - "TC/Ćwiczenia/1. Algebra Boola.md", + "AMiAL/!Materiały/calki_1.pdf", + "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 @@ "!Załączniki/Excalidraw/Scripts/Downloaded/Elbow connectors.svg", "!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" ] } \ No newline at end of file diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md index 71242fc..52d4626 100644 --- a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md +++ b/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$$ \ No newline at end of file