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Beliebt Rechnen >

integral from 1 to 3 of x^2e^x

Lösung

\int_{1}^{3} x^{2} e^{x} d x

Lösung

5 e^{3} - e

+1

Dezimale

97.70940 \dots

Schritte zur Lösung

\int_{1}^{3} x^{2} e^{x} d x

Wende die partielle Integration an

= [x^{2} e^{x} - \int 2 x e^{x} d x]_{1}^{3}

\int 2 x e^{x} d x = 2 (e^{x} x - e^{x})

= [x^{2} e^{x} - 2 (e^{x} x - e^{x})]_{1}^{3}

Berechne die Grenzen:

5 e^{3} - e

= 5 e^{3} - e

Graph

Beliebte Beispiele

tangent f(x)=x^2,\at x=-1/4

t an g e n t f (x) = x^{2}, at x = - \frac{1}{4}

y^{^{'}} - 2 x y - 8 = 0

laplacetransform e^{3(t+1)}

l a pl a ce t r an s f or m e^{3 (t + 1)}

derivative y=x(3x-2)^4

d er i v a t i v e y = x (3 x - 2)^{4}

integral of (e^{2x})/(\sqrt[4]{e^x+1)}

\int \frac{e ^{2 x}}{4 e ^{x} + 1} d x