What is the integral of e^{e^x2}^{e^x} ?

The integral of e^{e^x2}^{e^x} is e^{3e^{e^{e^x}}}+C

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integral of e^{e^x2}^{e^x}

\int e^{e^{e^{e^{x}}} 2} d e^{e^{e^{e^{x}}}}

e^{3 e^{e^{e^{x}}}} + C

Solution steps

\int e^{e^{e^{e^{x}}} \cdot 2} d e^{e^{e^{e^{x}}}}

Integral of a constant:

\int a d x = a x

= e^{2 e^{e^{e^{x}}}} e^{e^{e^{e^{x}}}}

Simplify

e^{2 e^{e^{e^{x}}}} e^{e^{e^{e^{x}}}} : e^{3 e^{e^{e^{x}}}}

= e^{3 e^{e^{e^{x}}}}

Add a constant to the solution

= e^{3 e^{e^{e^{x}}}} + C

What is the integral of e^{e^x2}^{e^x} ?
The integral of e^{e^x2}^{e^x} is e^{3e^{e^{e^x}}}+C