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Beliebt Rechnen >

integral of (2x-4^x)

Lösung

\int (2 x - 4^{x}) d x

Lösung

x^{2} - \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Schritte zur Lösung

\int 2 x - 4^{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 2 x d x - \int 4^{x} d x

\int 2 x d x = x^{2}

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

= x^{2} - \frac{2 ^{2 x - 1}}{ln ( 2 )}

Füge eine Konstante zur Lösung hinzu

= x^{2} - \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Graph

Beliebte Beispiele

fläche y=x^2-4,y=5

a re a y = x^{2} - 4, y = 5

derivative of 8^{sin(pix})

\frac{d}{d x} (8^{s i n (π x)})

integral from 1 to 8 of sqrt(2/x)

\int_{1}^{8} \frac{2}{x} d x

derivative f(x)=-6

d er i v a t i v e f (x) = - 6

limit as x approaches-6 of 1/(x+6)

x \to - 6 lim (\frac{1}{x + 6})