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Beliebt Rechnen >

integral of arccos^2(x)

Lösung

\int arccos^{2} (x) d x

Lösung

x arccos^{2} (x) - 2 (arccos (x) 1 - x^{2} + x) + C

Schritte zur Lösung

\int arccos^{2} (x) d x

Wende die partielle Integration an

= x arccos^{2} (x) - \int - \frac{2 x arccos ( x )}{1 - x ^{2}} d x

\int - \frac{2 x arccos ( x )}{1 - x ^{2}} d x = 2 (arccos (x) 1 - x^{2} + x)

= x arccos^{2} (x) - 2 (arccos (x) 1 - x^{2} + x)

Füge eine Konstante zur Lösung hinzu

= x arccos^{2} (x) - 2 (arccos (x) 1 - x^{2} + x) + C

Graph

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