2.2 Übungen - Versionsgeschichte

Tek: Added reference to the tests at the bottom of the page

2009-09-02T07:50:25Z

Added reference to the tests at the bottom of the page

← Nächstältere Version		Version vom 07:50, 2. Sep. 2009
Zeile 76:		Zeile 76:
	\|}		\|}
	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:4\|Lösung a\|Lösung 2.2:4a\|Lösung b\|Lösung 2.2:4b\|Lösung c\|Lösung 2.2:4c\|Lösung d\|Lösung 2.2:4d}}		</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:4\|Lösung a\|Lösung 2.2:4a\|Lösung b\|Lösung 2.2:4b\|Lösung c\|Lösung 2.2:4c\|Lösung d\|Lösung 2.2:4d}}
		+
		+
		+	'''Diagnostische Prüfung und Schlussprüfung'''
		+
		+	Nachdem Du mit der Theorie und den Übungen fertig bist, sollst Du die diagnostische Prüfung und die Schlussprüfung machen. Du findest den Link zu den Prüfungen in Deiner Student Lounge.

Sekretariat1 um 07:47, 18. Aug. 2009

2009-08-18T07:47:24Z

← Nächstältere Version		Version vom 07:47, 18. Aug. 2009
Zeile 9:		Zeile 9:
	===Übung 2.2:1===		===Übung 2.2:1===
	<div class="ovning">		<div class="ovning">
-	~~Berechneie~~ die Integrale	+	Berechne die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 24:		Zeile 24:
	===Übung 2.2:2===		===Übung 2.2:2===
	<div class="ovning">		<div class="ovning">
-	Berechne die Integrale	+	Berechne die Integrale.
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 40:		Zeile 40:
	===Übung 2.2:3===		===Übung 2.2:3===
	<div class="ovning">		<div class="ovning">
-	Berechne die Integrale	+	Berechne die Integrale.
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 62:		Zeile 62:
	<div class="ovning">		<div class="ovning">
	Verwende die Formel		Verwende die Formel
-	<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C</math> </center>	+	<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C,</math> </center>
-	um die Integrale zu berechnen	+	um die Integrale zu berechnen.
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)

Bayerer um 11:45, 7. Aug. 2009

2009-08-07T11:45:22Z

← Nächstältere Version		Version vom 11:45, 7. Aug. 2009
Zeile 9:		Zeile 9:
	===Übung 2.2:1===		===Übung 2.2:1===
	<div class="ovning">		<div class="ovning">
-	~~Berechnen Sie~~ die Integrale	+	Berechneie die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 24:		Zeile 24:
	===Übung 2.2:2===		===Übung 2.2:2===
	<div class="ovning">		<div class="ovning">
-	~~Berechnen Sie~~ die Integrale	+	Berechne die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 40:		Zeile 40:
	===Übung 2.2:3===		===Übung 2.2:3===
	<div class="ovning">		<div class="ovning">
-	~~Berechnen Sie~~ die Integrale	+	Berechne die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 61:		Zeile 61:
	===Übung 2.2:4===		===Übung 2.2:4===
	<div class="ovning">		<div class="ovning">
-	~~Verwenden Sie~~ die Formel	+	Verwende die Formel
	<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C</math> </center>		<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C</math> </center>
	um die Integrale zu berechnen		um die Integrale zu berechnen

Martin um 12:45, 5. Mai 2009

2009-05-05T12:45:02Z

← Nächstältere Version		Version vom 12:45, 5. Mai 2009
Zeile 12:		Zeile 12:
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
-	\|width="100%"\|<math>\displaystyle \int_{1}^{2} \displaystyle\frac{dx}{(3x-1)^4}\quad</math> ~~by using the substitution~~ <math>u=3x-1</math>,	+	\|width="100%"\|<math>\displaystyle \int_{1}^{2} \displaystyle\frac{dx}{(3x-1)^4}\quad</math> durch die Substitution <math>u=3x-1</math>,
	\|-		\|-
	\|b)		\|b)
-	\|width="100%"\| <math>\displaystyle \int (x^2+3)^5x \, dx\quad</math> ~~by using the substitution~~ <math>u=x^2+3</math>,	+	\|width="100%"\| <math>\displaystyle \int (x^2+3)^5x \, dx\quad</math> durch die Substitution <math>u=x^2+3</math>,
	\|-		\|-
	\|c)		\|c)
-	\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> ~~by using the substitution~~ <math>u=x^3</math>.	+	\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> durch die Substitution <math>u=x^3</math>.
	\|}		\|}
	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:1\|Lösung a\|Lösung 2.2:1a\|Lösung b\|Lösung 2.2:1b\|Lösung c\|Lösung 2.2:1c}}		</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:1\|Lösung a\|Lösung 2.2:1a\|Lösung b\|Lösung 2.2:1b\|Lösung c\|Lösung 2.2:1c}}

Martin um 12:48, 30. Apr. 2009

2009-04-30T12:48:04Z

← Nächstältere Version		Version vom 12:48, 30. Apr. 2009
Zeile 9:		Zeile 9:
	===Übung 2.2:1===		===Übung 2.2:1===
	<div class="ovning">		<div class="ovning">
-	~~Calculate the integrals~~	+	Berechnen Sie die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 24:		Zeile 24:
	===Übung 2.2:2===		===Übung 2.2:2===
	<div class="ovning">		<div class="ovning">
-	~~Calculate the integrals~~	+	Berechnen Sie die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 40:		Zeile 40:
	===Übung 2.2:3===		===Übung 2.2:3===
	<div class="ovning">		<div class="ovning">
-	~~Calculate the integrals~~	+	Berechnen Sie die Integrale
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)
Zeile 61:		Zeile 61:
	===Übung 2.2:4===		===Übung 2.2:4===
	<div class="ovning">		<div class="ovning">
-	~~Use the formula~~	+	Verwenden Sie die Formel
	<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C</math> </center>		<center> <math>\int \frac{dx}{x^2+1} = \arctan x + C</math> </center>
-	~~to calculate the integrals~~	+	um die Integrale zu berechnen
	{\| width="100%" cellspacing="10px"		{\| width="100%" cellspacing="10px"
	\|a)		\|a)

Tekbot: 2.2 Exercises moved to 2.2 Übungen: Robot: moved page

2009-03-10T14:07:50Z

2.2 Exercises moved to 2.2 Übungen: Robot: moved page

← Nächstältere Version

Version vom 14:07, 10. Mär. 2009

Tekbot: Robot: Automated text replacement (-Not selected tab +Nicht gewählter Tab)

2009-03-10T13:42:57Z

Robot: Automated text replacement (-Not selected tab +Nicht gewählter Tab)

← Nächstältere Version		Version vom 13:42, 10. Mär. 2009
Zeile 2:		Zeile 2:
	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"		{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
	\| style="border-bottom:1px solid #000" width="5px" \|		\| style="border-bottom:1px solid #000" width="5px" \|
-	{{~~Not selected tab~~\|[[2.2 Integration durch Substitution\|Theorie]]}}	+	{{Nicht gewählter Tab\|[[2.2 Integration durch Substitution\|Theorie]]}}
	{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}		{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}
	\| style="border-bottom:1px solid #000" width="100%"\|		\| style="border-bottom:1px solid #000" width="100%"\|

Tekbot: Robot: Automated text replacement (-Selected tab +Gewählter Tab)

2009-03-10T13:39:18Z

Robot: Automated text replacement (-Selected tab +Gewählter Tab)

← Nächstältere Version		Version vom 13:39, 10. Mär. 2009
Zeile 3:		Zeile 3:
	\| style="border-bottom:1px solid #000" width="5px" \|		\| style="border-bottom:1px solid #000" width="5px" \|
	{{Not selected tab\|[[2.2 Integration durch Substitution\|Theorie]]}}		{{Not selected tab\|[[2.2 Integration durch Substitution\|Theorie]]}}
-	{{~~Selected tab~~\|[[2.2 Übungen\|Übungen]]}}	+	{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}
	\| style="border-bottom:1px solid #000" width="100%"\|		\| style="border-bottom:1px solid #000" width="100%"\|
	\|}		\|}

Tekbot: Robot: Automated text replacement (-Solution +Lösung)

2009-03-10T13:33:54Z

Robot: Automated text replacement (-Solution +Lösung)

← Nächstältere Version		Version vom 13:33, 10. Mär. 2009
Zeile 20:		Zeile 20:
	\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> by using the substitution <math>u=x^3</math>.		\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> by using the substitution <math>u=x^3</math>.
	\|}		\|}
-	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:1\|~~Solution~~ a\|~~Solution~~ 2.2:1a\|~~Solution~~ b\|~~Solution~~ 2.2:1b\|~~Solution~~ c\|~~Solution~~ 2.2:1c}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:1\|Lösung a\|Lösung 2.2:1a\|Lösung b\|Lösung 2.2:1b\|Lösung c\|Lösung 2.2:1c}}

	===Übung 2.2:2===		===Übung 2.2:2===
Zeile 36:		Zeile 36:
	\|width="50%"\| <math>\displaystyle\int_{0}^{1} \sqrt[\scriptstyle3]{1 - x}\, dx</math>		\|width="50%"\| <math>\displaystyle\int_{0}^{1} \sqrt[\scriptstyle3]{1 - x}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:2\|~~Solution~~ a\|~~Solution~~ 2.2:2a\|~~Solution~~ b\|~~Solution~~ 2.2:2b\|~~Solution~~ c\|~~Solution~~ 2.2:2c\|~~Solution~~ d\|~~Solution~~ 2.2:2d}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:2\|Lösung a\|Lösung 2.2:2a\|Lösung b\|Lösung 2.2:2b\|Lösung c\|Lösung 2.2:2c\|Lösung d\|Lösung 2.2:2d}}

	===Übung 2.2:3===		===Übung 2.2:3===
Zeile 57:		Zeile 57:
	\|width="50%"\| <math>\displaystyle\int \displaystyle\frac{\sin \sqrt{x}}{\sqrt{x}}\, dx</math>		\|width="50%"\| <math>\displaystyle\int \displaystyle\frac{\sin \sqrt{x}}{\sqrt{x}}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:3\|~~Solution~~ a\|~~Solution~~ 2.2:3a\|~~Solution~~ b\|~~Solution~~ 2.2:3b\|~~Solution~~ c\|~~Solution~~ 2.2:3c\|~~Solution~~ d\|~~Solution~~ 2.2:3d\|~~Solution~~ e\|~~Solution~~ 2.2:3e\|~~Solution~~ f\|~~Solution~~ 2.2:3f}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:3\|Lösung a\|Lösung 2.2:3a\|Lösung b\|Lösung 2.2:3b\|Lösung c\|Lösung 2.2:3c\|Lösung d\|Lösung 2.2:3d\|Lösung e\|Lösung 2.2:3e\|Lösung f\|Lösung 2.2:3f}}

	===Übung 2.2:4===		===Übung 2.2:4===
Zeile 75:		Zeile 75:
	\|width="50%"\| <math>\displaystyle\int \frac{x^2}{x^2 +1}\, dx</math>		\|width="50%"\| <math>\displaystyle\int \frac{x^2}{x^2 +1}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:4\|~~Solution~~ a\|~~Solution~~ 2.2:4a\|~~Solution~~ b\|~~Solution~~ 2.2:4b\|~~Solution~~ c\|~~Solution~~ 2.2:4c\|~~Solution~~ d\|~~Solution~~ 2.2:4d}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:4\|Lösung a\|Lösung 2.2:4a\|Lösung b\|Lösung 2.2:4b\|Lösung c\|Lösung 2.2:4c\|Lösung d\|Lösung 2.2:4d}}

Tekbot: Robot: Automated text replacement (-Answer +Antwort)

2009-03-10T13:29:25Z

Robot: Automated text replacement (-Answer +Antwort)

← Nächstältere Version		Version vom 13:29, 10. Mär. 2009
Zeile 20:		Zeile 20:
	\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> by using the substitution <math>u=x^3</math>.		\|width="100%"\| <math>\displaystyle \int x^2 e^{x^3} \, dx\quad</math> by using the substitution <math>u=x^3</math>.
	\|}		\|}
-	</div>{{#NAVCONTENT:~~Answer~~\|~~Answer~~ 2.2:1\|Solution a\|Solution 2.2:1a\|Solution b\|Solution 2.2:1b\|Solution c\|Solution 2.2:1c}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:1\|Solution a\|Solution 2.2:1a\|Solution b\|Solution 2.2:1b\|Solution c\|Solution 2.2:1c}}

	===Übung 2.2:2===		===Übung 2.2:2===
Zeile 36:		Zeile 36:
	\|width="50%"\| <math>\displaystyle\int_{0}^{1} \sqrt[\scriptstyle3]{1 - x}\, dx</math>		\|width="50%"\| <math>\displaystyle\int_{0}^{1} \sqrt[\scriptstyle3]{1 - x}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:~~Answer~~\|~~Answer~~ 2.2:2\|Solution a\|Solution 2.2:2a\|Solution b\|Solution 2.2:2b\|Solution c\|Solution 2.2:2c\|Solution d\|Solution 2.2:2d}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:2\|Solution a\|Solution 2.2:2a\|Solution b\|Solution 2.2:2b\|Solution c\|Solution 2.2:2c\|Solution d\|Solution 2.2:2d}}

	===Übung 2.2:3===		===Übung 2.2:3===
Zeile 57:		Zeile 57:
	\|width="50%"\| <math>\displaystyle\int \displaystyle\frac{\sin \sqrt{x}}{\sqrt{x}}\, dx</math>		\|width="50%"\| <math>\displaystyle\int \displaystyle\frac{\sin \sqrt{x}}{\sqrt{x}}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:~~Answer~~\|~~Answer~~ 2.2:3\|Solution a\|Solution 2.2:3a\|Solution b\|Solution 2.2:3b\|Solution c\|Solution 2.2:3c\|Solution d\|Solution 2.2:3d\|Solution e\|Solution 2.2:3e\|Solution f\|Solution 2.2:3f}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:3\|Solution a\|Solution 2.2:3a\|Solution b\|Solution 2.2:3b\|Solution c\|Solution 2.2:3c\|Solution d\|Solution 2.2:3d\|Solution e\|Solution 2.2:3e\|Solution f\|Solution 2.2:3f}}

	===Übung 2.2:4===		===Übung 2.2:4===
Zeile 75:		Zeile 75:
	\|width="50%"\| <math>\displaystyle\int \frac{x^2}{x^2 +1}\, dx</math>		\|width="50%"\| <math>\displaystyle\int \frac{x^2}{x^2 +1}\, dx</math>
	\|}		\|}
-	</div>{{#NAVCONTENT:~~Answer~~\|~~Answer~~ 2.2:4\|Solution a\|Solution 2.2:4a\|Solution b\|Solution 2.2:4b\|Solution c\|Solution 2.2:4c\|Solution d\|Solution 2.2:4d}}	+	</div>{{#NAVCONTENT:Antwort\|Antwort 2.2:4\|Solution a\|Solution 2.2:4a\|Solution b\|Solution 2.2:4b\|Solution c\|Solution 2.2:4c\|Solution d\|Solution 2.2:4d}}

← Nächstältere Version		Version vom 13:42, 10. Mär. 2009
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	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"		{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
	\| style="border-bottom:1px solid #000" width="5px" \|		\| style="border-bottom:1px solid #000" width="5px" \|
-	{{~~Not selected tab~~\|[[2.2 Integration durch Substitution\|Theorie]]}}	+	{{Nicht gewählter Tab\|[[2.2 Integration durch Substitution\|Theorie]]}}
	{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}		{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}
	\| style="border-bottom:1px solid #000" width="100%"\|		\| style="border-bottom:1px solid #000" width="100%"\|

← Nächstältere Version		Version vom 13:39, 10. Mär. 2009
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	\| style="border-bottom:1px solid #000" width="5px" \|		\| style="border-bottom:1px solid #000" width="5px" \|
	{{Not selected tab\|[[2.2 Integration durch Substitution\|Theorie]]}}		{{Not selected tab\|[[2.2 Integration durch Substitution\|Theorie]]}}
-	{{~~Selected tab~~\|[[2.2 Übungen\|Übungen]]}}	+	{{Gewählter Tab\|[[2.2 Übungen\|Übungen]]}}
	\| style="border-bottom:1px solid #000" width="100%"\|		\| style="border-bottom:1px solid #000" width="100%"\|
	\|}		\|}