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Beliebt Rechnen >

integral from 0 to 1 of e^x-xe^{x^2}

Lösung

\int_{0}^{1} e^{x} - x e^{x^{2}} d x

Lösung

e - 1 - \frac{e - 1}{2}

+1

Dezimale

0.85914 \dots

Schritte zur Lösung

\int_{0}^{1} e^{x} - x e^{x^{2}} 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_{0}^{1} e^{x} d x - \int_{0}^{1} x e^{x^{2}} d x

\int_{0}^{1} e^{x} d x = e - 1

\int_{0}^{1} x e^{x^{2}} d x = \frac{e - 1}{2}

= e - 1 - \frac{e - 1}{2}

Graph

Beliebte Beispiele

integral of x/(sqrt(x-1))

\int \frac{x}{x - 1} d x

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(dy}{dx}=\frac{(x^3-2y))/x

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tangent 5x^3+2x+4,\at x=1

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integral of 2/(sqrt(9-x^2))

\int \frac{2}{9 - x ^{2}} d x