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Beliebt Rechnen >

integral of (6/(5x^2)-1)

Lösung

\int (\frac{6}{5 x ^{2}} - 1) d x

Lösung

- \frac{6}{5 x} - x + C

Schritte zur Lösung

\int \frac{6}{5 x ^{2}} - 1 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 \frac{6}{5 x ^{2}} d x - \int 1 d x

\int \frac{6}{5 x ^{2}} d x = - \frac{6}{5 x}

\int 1 d x = x

= - \frac{6}{5 x} - x

Füge eine Konstante zur Lösung hinzu

= - \frac{6}{5 x} - x + C

Graph

Beliebte Beispiele

limit as x approaches 0 of (1+6x)^{4/x}

x \to 0 lim ((1 + 6 x)^{\frac{4}{x}})

(\partial)/(\partial x)(e^{3x^2+y}(x-y))

\frac{\partial}{\partial x} (e^{3 x^{2} + y} (x - y))

y^{''}-2y^'+y=xe^x+4

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} + 4

integral of (x^2(x^3-1)^{10})

\int (x^{2} (x^{3} - 1)^{10}) d x

derivative of (e^2/(x(3x-5)))

\frac{d}{d x} (\frac{e ^{2}}{x ( 3 x - 5 )})