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Beliebt Rechnen >

integral of (-3)/((2x)^2)

Lösung

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

Lösung

- 3 (\frac{1}{4 x} - \frac{1}{2 x}) + C

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 3 \cdot \int \frac{1}{( 2 x ) ^{2}} d x

Wende die partielle Integration an

= - 3 (\frac{1}{4 x} - \int - \frac{1}{2 x ^{2}} d x)

\int - \frac{1}{2 x ^{2}} d x = \frac{1}{2 x}

= - 3 (\frac{1}{4 x} - \frac{1}{2 x})

Füge eine Konstante zur Lösung hinzu

= - 3 (\frac{1}{4 x} - \frac{1}{2 x}) + C

Graph

Beliebte Beispiele

limit as x approaches 2 of 3x+2

x \to 2 lim (3 x + 2)

tangent y=6x-x^2

t an g e n t y = 6 x - x^{2}

derivative of (2e^x+x^2ln(x))

\frac{d}{d x} ((2 e^{x} + x^{2}) ln (x))

limit as x approaches 1 of x

x \to 1 lim (x)

inverselaplace 1/(s^2)-1/s+1/((s-2))

in v erse l a pl a ce \frac{1}{s ^{2}} - \frac{1}{s} + \frac{1}{( s - 2 )}