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Beliebt Rechnen >

integral of-3/(x^2)+11-4^x

Lösung

\int - \frac{3}{x ^{2}} + 11 - 4^{x} d x

Lösung

\frac{3}{x} + 11 x - \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Schritte zur Lösung

\int - \frac{3}{x ^{2}} + 11 - 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 \frac{3}{x ^{2}} d x + \int 11 d x - \int 4^{x} d x

\int \frac{3}{x ^{2}} d x = - \frac{3}{x}

\int 11 d x = 11 x

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

= - (- \frac{3}{x}) + 11 x - \frac{2 ^{2 x - 1}}{ln ( 2 )}

Vereinfache

= \frac{3}{x} + 11 x - \frac{2 ^{2 x - 1}}{ln ( 2 )}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{x} + 11 x - \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Graph

Beliebte Beispiele

t^2(dx)/(dt)= 1/(x^2),x(4)=9

t^{2} \frac{d x}{d t} = \frac{1}{x ^{2}}, x (4) = 9

derivative of 3x^2+6x+cos(x)

\frac{d}{d x} (3 x^{2} + 6 x + cos (x))

y^'=sqrt(tan(x))(sec(x))^4

y^{^{'}} = tan (x) (sec (x))^{4}

integral of x^3e^{7x}

\int x^{3} e^{7 x} d x

y^'-3y=6,y(0)=1

y^{^{'}} - 3 y = 6, y (0) = 1