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https://texercises.com/exercise/integral-cos-quadrat/
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Exercise:
displaystyle fx cos^ x. Berechne die Stammfunktion.

Solution:
Fx tcbhighmathalready cos^ x ddx left-sin^ xright ddx ddx - sin^ x ddx ddx - sin x sin x ddx bypartsu: sin x rightarrow cos xu' quad v':sin x leftarrow -cos x v x - leftsin x -cos x - cos x -cos x ddxright x + cos x sin x - tcbhighmathalready cos^ x ddx tcbhighmathaufgabe cos^ x ddx tcbhighmathloesungfracx+fracsin x cos x
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Exercise:
displaystyle fx cos^ x. Berechne die Stammfunktion.

Solution:
Fx tcbhighmathalready cos^ x ddx left-sin^ xright ddx ddx - sin^ x ddx ddx - sin x sin x ddx bypartsu: sin x rightarrow cos xu' quad v':sin x leftarrow -cos x v x - leftsin x -cos x - cos x -cos x ddxright x + cos x sin x - tcbhighmathalready cos^ x ddx tcbhighmathaufgabe cos^ x ddx tcbhighmathloesungfracx+fracsin x cos x
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Tags
cosinus, differentialrechnung, integral, mathematik, quadrat, trigonometrie
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(3, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
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