What is the integral of e^{x^4+1} ?

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

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integral of e^{x^4+1}

\int e^{x^{4} + 1} d x

Solution steps

\int e^{x^{4} + 1} d x

e^{x^{4} + 1} = e^{1} e^{x^{4}}

= \int e^{1} e^{x^{4}} d x

Take the constant out:

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

= e^{1} \cdot \int e^{x^{4}} d x

Simplify

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

Use the nonelementary integral:

Add a constant to the solution

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\int \frac{11 x}{5 - x ^{2}} d x

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