3.170 \(\int e^{e^{e^{e^x}}} \, dx\)

Optimal. Leaf size=11 \[ \text{CannotIntegrate}\left (e^{e^{e^{e^x}}},x\right ) \]

[Out]

Defer[Int][E^E^E^E^x, x]

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Rubi [A]  time = 0.0463063, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int e^{e^{e^{e^x}}} \, dx \]

Verification is Not applicable to the result.

[In]

Int[E^E^E^E^x,x]

[Out]

Defer[Subst][Defer[Int][E^E^E^x/x, x], x, E^x]

Rubi steps

\begin{align*} \int e^{e^{e^{e^x}}} \, dx &=\operatorname{Subst}\left (\int \frac{e^{e^{e^x}}}{x} \, dx,x,e^x\right )\\ \end{align*}

Mathematica [A]  time = 0.019356, size = 0, normalized size = 0. \[ \int e^{e^{e^{e^x}}} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[E^E^E^E^x,x]

[Out]

Integrate[E^E^E^E^x, x]

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Maple [A]  time = 0.016, size = 0, normalized size = 0. \begin{align*} \int{{\rm e}^{{{\rm e}^{{{\rm e}^{{{\rm e}^{x}}}}}}}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(exp(exp(exp(x)))),x)

[Out]

int(exp(exp(exp(exp(x)))),x)

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Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(exp(exp(x)))),x, algorithm="maxima")

[Out]

integrate(e^(e^(e^(e^x))), x)

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Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(exp(exp(x)))),x, algorithm="fricas")

[Out]

integral(e^(e^(e^(e^x))), x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int e^{e^{e^{e^{x}}}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(exp(exp(x)))),x)

[Out]

Integral(exp(exp(exp(exp(x)))), x)

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Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(exp(exp(x)))),x, algorithm="giac")

[Out]

integrate(e^(e^(e^(e^x))), x)