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Beliebt Rechnen >

integral from 0 to 1 of (e^x)^2

Lösung

\int_{0}^{1} (e^{x})^{2} d x

Lösung

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

+1

Dezimale

3.19452 \dots

Schritte zur Lösung

\int_{0}^{1} (e^{x})^{2} d x

Wende U-Substitution an

= \int_{1}^{e} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{1}^{e}

Berechne die Grenzen:

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

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

Vereinfache

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

Graph

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