integral from 0 to pi/2 of e^x

Lösung

\int_{0}^{\frac{π}{2}} e^{x} d x

e^{\frac{π}{2}} - 1

Dezimale

3.81047 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{2}} e^{x} d x

Nutze das gemeinsame Integral :

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

= [e^{x}]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

e^{\frac{π}{2}} - 1

= e^{\frac{π}{2}} - 1

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