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Beliebt Rechnen >

integral of (7x+3)/(sqrt(x))

Lösung

\int \frac{7 x + 3}{x} d x

Lösung

2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

\int \frac{7 x + 3}{x} d x

Wende die partielle Integration an

= 2 x (7 x + 3) - \int 14 x d x

\int 14 x d x = \frac{28}{3} x^{\frac{3}{2}}

= 2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

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