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https://texercises.raemilab.ch/exercise/integral-gebrochen-rationale-funktion-1/
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Exercise:
Berechne das folge Integral: fracx^-x+ ddx

Solution:
Fx tcbhighmathaufgabe fracx^ - x + ddx fracleftx^ - fracx + fracrightddx fracleftleftx-fracright^ + fracrightddx substitutiony:x-frac quad ddxddy fraclefty^ + fracrightddy fracfracfracy^+ddy substitutionz:fracsqrty quad ddyfracsqrtddz fracfracz^+fracsqrtddz fracsqrt frac+z^ddz fracsqrtarctanz+c fracsqrtarctan!leftfracsqrtyright+c fracsqrtarctan!leftfracx-sqrtright+c tcbhighmathloesungfracsqrtarctan!leftfracx-sqrtright+c
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Exercise:
Berechne das folge Integral: fracx^-x+ ddx

Solution:
Fx tcbhighmathaufgabe fracx^ - x + ddx fracleftx^ - fracx + fracrightddx fracleftleftx-fracright^ + fracrightddx substitutiony:x-frac quad ddxddy fraclefty^ + fracrightddy fracfracfracy^+ddy substitutionz:fracsqrty quad ddyfracsqrtddz fracfracz^+fracsqrtddz fracsqrt frac+z^ddz fracsqrtarctanz+c fracsqrtarctan!leftfracsqrtyright+c fracsqrtarctan!leftfracx-sqrtright+c tcbhighmathloesungfracsqrtarctan!leftfracx-sqrtright+c
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Tags
integralrechnung, mathematik
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Difficulty
(1, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration