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Beliebt Rechnen >

integral from 0 to ln(4) of xe^x

Lösung

\int_{0}^{l n (4)} x e^{x} d x

Lösung

8 ln (2) - 3

+1

Dezimale

2.54517 \dots

Schritte zur Lösung

\int_{0}^{l n (4)} x e^{x} d x

Wende die partielle Integration an

= [e^{x} x - \int e^{x} d x]_{0}^{2 l n (2)}

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

= [e^{x} x - e^{x}]_{0}^{2 l n (2)}

Berechne die Grenzen:

8 ln (2) - 3

= 8 ln (2) - 3

Graph

Beliebte Beispiele

y^'=3cos(t)-2y,y(0)=0

y^{^{'}} = 3 cos (t) - 2 y, y (0) = 0

integral of 5xe^{3x}

\int 5 x e^{3 x} d x

tangent f(x)=5x^3-5x,(1,0)

t an g e n t f (x) = 5 x^{3} - 5 x, (1, 0)

derivative of ln(cos((x-1/x)))

\frac{d}{d x} (ln (cos (\frac{x - 1}{x})))

derivative of (cos(2x)/(sin(x)))

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( x )})