What is the integral of e^{z+e^z} ?

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

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integral of e^{z+e^z}

\int e^{z + e^{z}} d z

e^{e^{z}} + C

Solution steps

\int e^{z + e^{z}} d z

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

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

= e^{u}

Substitute back

u = e^{z}

= e^{e^{z}}

Add a constant to the solution

= e^{e^{z}} + C

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