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https://texercises.com/exercise/arcus-tangens-integral-1/
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Exercise:
displaystyle frac-x^- ddx

Solution:
Fx tcbhighmathaufgabe frac-x^- ddx - fracx^+ ddx substitutionx:tan y fracsin ycos y quad ddxfraccos^ yddy - fractan^ y+ fraccos^ yddy - fracfracsin^ ycos^ y+ fraccos^ yddy - fracsin^ y + cos^ y ddy - ddy + c -y + c tcbhighmathloesung arctan x + c
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Exercise:
displaystyle frac-x^- ddx

Solution:
Fx tcbhighmathaufgabe frac-x^- ddx - fracx^+ ddx substitutionx:tan y fracsin ycos y quad ddxfraccos^ yddy - fractan^ y+ fraccos^ yddy - fracfracsin^ ycos^ y+ fraccos^ yddy - fracsin^ y + cos^ y ddy - ddy + c -y + c tcbhighmathloesung arctan x + c
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Tags
funktion, gebrochen, integral, integralrechnung, integrieren, mathematik, reational, substitution
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Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
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Link