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Beliebt Rechnen >

integral of e^{e^{e^x}}^{e^x}

Lösung

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

Lösung

e^{e^{e^{e^{e^{x}}}}} + C

Schritte zur Lösung

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

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{e ^{e^{e^{e^{e^{x}}}}}}{ln ( e )}

Vereinfache

\frac{e ^{e^{e^{e^{e^{x}}}}}}{ln ( e )} : e^{e^{e^{e^{e^{x}}}}}

= e^{e^{e^{e^{e^{x}}}}}

Füge eine Konstante zur Lösung hinzu

= e^{e^{e^{e^{e^{x}}}}} + C

Graph

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