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

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

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