What is the integral of e^{e^{e^x}}^{e^x} ?

The integral of e^{e^{e^x}}^{e^x} is e^{e^{e^{e^{e^x}}}}+C

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

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

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

Solution steps

\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 )}

Simplify

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

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

Add a constant to the solution

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

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What is the integral of e^{e^{e^x}}^{e^x} ?
The integral of e^{e^{e^x}}^{e^x} is e^{e^{e^{e^{e^x}}}}+C