What is the integral of e^{x^4+2} ?

The integral of e^{x^4+2} is e^2(-(x\Gamma(1/4 ,-x^4))/(4\sqrt[4]{-x^4)})+C

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integral of e^{x^4+2}

\int e^{x^{4} + 2} d x

Solution steps

\int e^{x^{4} + 2} d x

e^{x^{4} + 2} = e^{2} e^{x^{4}}

= \int e^{2} e^{x^{4}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= e^{2} \cdot \int e^{x^{4}} d x

Use the nonelementary integral:

Add a constant to the solution

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What is the integral of e^{x^4+2} ?
The integral of e^{x^4+2} is e^2(-(x\Gamma(1/4 ,-x^4))/(4\sqrt[4]{-x^4)})+C