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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 (1+x^2)/(x-x^3)

\int \frac{1 + x ^{2}}{x - x ^{3}} d x

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\int \frac{1}{196 - x ^{2}} d x

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\int (5 - 2 x)^{9} d x

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derivative of 12-3x-4y

\frac{d}{d x} (12 - 3 x - 4 y)