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Beliebt Rechnen >

integral of arcsin(5x)

Lösung

\int arcsin (5 x) d x

Lösung

x arcsin (5 x) + \frac{1}{5} 1 - 25 x^{2} + C

Schritte zur Lösung

\int arcsin (5 x) d x

Wende die partielle Integration an

= x arcsin (5 x) - \int \frac{5 x}{1 - 25 x ^{2}} d x

\int \frac{5 x}{1 - 25 x ^{2}} d x = - \frac{1}{5} 1 - 25 x^{2}

= x arcsin (5 x) - (- \frac{1}{5} 1 - 25 x^{2})

Vereinfache

= x arcsin (5 x) + \frac{1}{5} 1 - 25 x^{2}

Füge eine Konstante zur Lösung hinzu

= x arcsin (5 x) + \frac{1}{5} 1 - 25 x^{2} + C

Graph

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