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

Optimal. Leaf size=12 \[ \text{Int}\left (e^{e^{e^{e^x}}},x\right ) \]

[Out]

CannotIntegrate[E^E^E^E^x, x]

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Rubi [A]  time = 0.0711793, 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. \[ \text{Int}\left (e^{e^{e^{e^x}}},x\right ) \]

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]

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Rubi in Sympy [A]  time = 0., size = 0, normalized size = 0. \[ \int ^{e^{x}} \frac{e^{e^{e^{x}}}}{x}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(exp(exp(exp(exp(x)))),x)

[Out]

Integral(exp(exp(exp(x)))/x, (x, exp(x)))

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Mathematica [A]  time = 0.0115539, 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 = 0.015, size = 0, normalized size = 0. \[ \int{{\rm e}^{{{\rm e}^{{{\rm e}^{{{\rm e}^{x}}}}}}}}\, dx \]

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. \[ \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^(e^(e^(e^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. \[{\rm integral}\left (e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^(e^(e^(e^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. \[ \int e^{e^{e^{e^{x}}}}\, dx \]

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/XCAS [A]  time = 0., size = 0, normalized size = 0. \[ \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^(e^(e^(e^x))),x, algorithm="giac")

[Out]

integrate(e^(e^(e^(e^x))), x)