What is the integral of e^{(x^2)^2}x^2)^2 ?

The integral of e^{(x^2)^2}x^2)^2 is e^{x^{16}}+C

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integral of e^{(x^2)^2}x^2)^2

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

e^{x^{16}} + C

Solution steps

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

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

= \frac{e ^{(((x^{2})^{2})^{2})^{2}}}{ln ( e )}

Simplify

\frac{e ^{(((x^{2})^{2})^{2})^{2}}}{ln ( e )} : e^{x^{16}}

= e^{x^{16}}

Add a constant to the solution

= e^{x^{16}} + C

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What is the integral of e^{(x^2)^2}x^2)^2 ?
The integral of e^{(x^2)^2}x^2)^2 is e^{x^{16}}+C