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Beliebt Rechnen >

integral of 3cos(x)+2/(sqrt(x))

Lösung

\int 3 cos (x) + \frac{2}{x} d x

Lösung

3 sin (x) + 4 x + C

Schritte zur Lösung

\int 3 cos (x) + \frac{2}{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 3 cos (x) d x + \int \frac{2}{x} d x

\int 3 cos (x) d x = 3 sin (x)

\int \frac{2}{x} d x = 4 x

= 3 sin (x) + 4 x

Füge eine Konstante zur Lösung hinzu

= 3 sin (x) + 4 x + C

Graph

Beliebte Beispiele

derivative of 1/(1+2/x)

\frac{d}{d x} (\frac{1}{1 + \frac{2}{x}})

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\frac{d}{d x} (0.8 cos (x) + 0.5 sin (2 x))

derivative of (98/((7x-13)^3))

\frac{d}{d x} (\frac{98}{( 7 x - 13 ) ^{3}})

derivative xsin(3x)

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integral of 1/((10x-1)^6)

\int \frac{1}{( 10 x - 1 ) ^{6}} d x