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Beliebt Rechnen >

integral of arcsin((5z)/2)

Lösung

\int arcsin (\frac{5 z}{2}) d z

Lösung

z arcsin (\frac{5 z}{2}) + \frac{1}{5} 4 - 25 z^{2} + C

Schritte zur Lösung

\int arcsin (\frac{5 z}{2}) d z

Wende die partielle Integration an

= z arcsin (\frac{5 z}{2}) - \int \frac{5 z}{4 - 25 z ^{2}} d z

\int \frac{5 z}{4 - 25 z ^{2}} d z = - \frac{1}{5} 4 - 25 z^{2}

= z arcsin (\frac{5 z}{2}) - (- \frac{1}{5} 4 - 25 z^{2})

Vereinfache

= z arcsin (\frac{5 z}{2}) + \frac{1}{5} 4 - 25 z^{2}

Füge eine Konstante zur Lösung hinzu

= z arcsin (\frac{5 z}{2}) + \frac{1}{5} 4 - 25 z^{2} + C

Graph

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