What is the integral of e^{x^5} ?

The integral of e^{x^5} is -(x\Gamma(1/5 ,-x^5))/(5\sqrt[5]{-x^5)}+C

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integral of e^{x^5}

\int e^{x^{5}} d x

Solution steps

\int e^{x^{5}} d x

Use the nonelementary integral:

Add a constant to the solution

y = (2 x + 5)^{5} (4 x + 5)^{- 4}

\frac{d y}{d x} = \frac{x ^{6} - 4 y}{x}

\frac{d y}{d x} = 2 x (x - 2)

\frac{\partial}{\partial x} (\frac{1}{1 + e ^{- w^{T} x}})

\frac{d}{d x} (\frac{2 x}{sec ( x )})

What is the integral of e^{x^5} ?
The integral of e^{x^5} is -(x\Gamma(1/5 ,-x^5))/(5\sqrt[5]{-x^5)}+C