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https://texercises.com/exercise/area-tangens-hyperbolicus-integral-2/
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Exercise:
displaystyle fracx^- ddx

Solution:
Fx tcbhighmathaufgabe fracx^- ddx - frac frac-fracx^ ddx - frac frac-leftsqrtfracxright^ ddx substitutiony:sqrtfracx quad ddx sqrtfracddy - frac frac-y^ sqrtfracddy -fracsqrt frac-y^ddy -fracsqrt operatornameatanh y + c tcbhighmathloesung-fracsqrt operatornameatanhleftsqrtfracxright + c
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Exercise:
displaystyle fracx^- ddx

Solution:
Fx tcbhighmathaufgabe fracx^- ddx - frac frac-fracx^ ddx - frac frac-leftsqrtfracxright^ ddx substitutiony:sqrtfracx quad ddx sqrtfracddy - frac frac-y^ sqrtfracddy -fracsqrt frac-y^ddy -fracsqrt operatornameatanh y + c tcbhighmathloesung-fracsqrt operatornameatanhleftsqrtfracxright + c
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Tags
funktion, gebrochen, hyperbolicus, integralrechnung, mathematik, partialbruchzerlegung, reational, substitution
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image