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Beliebt Rechnen >

integral of ((sqrt(x)-b))/(sqrt(x))

Lösung

\int \frac{( x - b )}{x} d x

Lösung

x - 2 b x + C

Schritte zur Lösung

\int \frac{x - b}{x} d x

Multipliziere aus

\frac{x - b}{x} : 1 - \frac{b}{x}

= \int 1 - \frac{b}{x} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x - \int \frac{b}{x} d x

\int 1 d x = x

\int \frac{b}{x} d x = 2 b x

= x - 2 b x

Füge eine Konstante zur Lösung hinzu

= x - 2 b x + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(sin(x)e^{yx^2}x)

\frac{\partial}{\partial x} (sin (x) e^{y x^{2}} x)

integral of z/(sqrt(1+z^2))

\int \frac{z}{1 + z ^{2}} d z

integral of e^{x^2-2x}

\int e^{x^{2} - 2 x} d x

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\frac{d}{d x} (x^{\frac{1}{2}} \cdot csc (x) sin (x))

2 y^{^{'}} - 6 x^{2} = 0