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Beliebt Rechnen >

integral of (sqrt(9-25x^2))/(x^2)

Lösung

\int \frac{9 - 25 x ^{2}}{x ^{2}} d x

Lösung

- \frac{9 - 25 x ^{2}}{x} - 5 arcsin (\frac{5}{3} x) + C

Schritte zur Lösung

\int \frac{9 - 25 x ^{2}}{x ^{2}} d x

Wende die partielle Integration an

= - \frac{9 - 25 x ^{2}}{x} - \int \frac{25}{9 - 25 x ^{2}} d x

\int \frac{25}{9 - 25 x ^{2}} d x = 5 arcsin (\frac{5}{3} x)

= - \frac{9 - 25 x ^{2}}{x} - 5 arcsin (\frac{5}{3} x)

Füge eine Konstante zur Lösung hinzu

= - \frac{9 - 25 x ^{2}}{x} - 5 arcsin (\frac{5}{3} x) + C

Graph

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