integral from 0 to 1/2 of e^{sqrt(2x)}

Lösung

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

1

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} e^{u} u d u

Wende die partielle Integration an

= [e^{u} u - \int e^{u} d u]_{0}^{1}

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

= [e^{u} u - e^{u}]_{0}^{1}

Berechne die Grenzen:

1

= 1

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