What is the integral of e^{(x^3)^3}x^3)^3 ?

The integral of e^{(x^3)^3}x^3)^3 is e^{x^{81}}+C

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integral of e^{(x^3)^3}x^3)^3

\int e^{(((x^{3})^{3})^{3})^{3}} d (((x^{3})^{3})^{3})^{3}

e^{x^{81}} + C

Solution steps

\int e^{(((x^{3})^{3})^{3})^{3}} d (((x^{3})^{3})^{3})^{3}

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

= \frac{e ^{(((x^{3})^{3})^{3})^{3}}}{ln ( e )}

Simplify

\frac{e ^{(((x^{3})^{3})^{3})^{3}}}{ln ( e )} : e^{x^{81}}

= e^{x^{81}}

Add a constant to the solution

= e^{x^{81}} + C

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What is the integral of e^{(x^3)^3}x^3)^3 ?
The integral of e^{(x^3)^3}x^3)^3 is e^{x^{81}}+C