Exercise
https://texercises.com/exercise/substitution/
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Exercise:
Berechne displaystyle ds_^ dfractexte^x+texte^x mboxdx mit der Substitution xt ln t.

Solution:
edt x ln t ex mboxdx /t mboxdt ed medskip Grenzen: damit x von nach läuft muss t von nach eul laufen. medskip edt _^ dfraceul^x+eul^x mboxdx _^eul dfraceul^ln t+eul^ln t dfract mboxdt _^eul dfract+t dfract mboxdt ex _^eul dfrac+t mboxdt bigln|+t|big_^eul ln+e - ln ln dfrac+e ed
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Exercise:
Berechne displaystyle ds_^ dfractexte^x+texte^x mboxdx mit der Substitution xt ln t.

Solution:
edt x ln t ex mboxdx /t mboxdt ed medskip Grenzen: damit x von nach läuft muss t von nach eul laufen. medskip edt _^ dfraceul^x+eul^x mboxdx _^eul dfraceul^ln t+eul^ln t dfract mboxdt _^eul dfract+t dfract mboxdt ex _^eul dfrac+t mboxdt bigln|+t|big_^eul ln+e - ln ln dfrac+e ed
Contained in these collections:
  1. 6 | 6

Attributes & Decorations
Tags
integral, mathematik, substitution
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Difficulty
(3, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
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Link