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Beliebt Rechnen >

integral of xarccos(x^2)

Lösung

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

Lösung

\frac{1}{2} x^{2} arccos (x^{2}) - \frac{1}{2} 1 - x^{4} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{2} x^{2} arccos (x^{2}) - \int - \frac{x ^{3}}{1 - x ^{4}} d x

\int - \frac{x ^{3}}{1 - x ^{4}} d x = \frac{1}{2} 1 - x^{4}

= \frac{1}{2} x^{2} arccos (x^{2}) - \frac{1}{2} 1 - x^{4}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} x^{2} arccos (x^{2}) - \frac{1}{2} 1 - x^{4} + C

Graph

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