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

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Rubi [A]  time = 0.05, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, 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*}

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Mathematica [A]  time = 0.02, size = 0, normalized size = 0.00 \[ \int e^{e^{e^{e^x}}} \, dx \]

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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fricas [A]  time = 0.42, size = 0, normalized size = 0.00 \[ {\rm integral}\left (e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

integral(e^(e^(e^(e^x))), x)

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giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

integrate(e^(e^(e^(e^x))), x)

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maple [A]  time = 0.04, size = 0, normalized size = 0.00 \[ \int {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}\, dx \]

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 = 0.00, size = 0, normalized size = 0.00 \[ \int e^{\left (e^{\left (e^{\left (e^{x}\right )}\right )}\right )}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

integrate(e^(e^(e^(e^x))), x)

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mupad [A]  time = 0.00, size = -1, normalized size = -0.08 \[ \int {\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^x}}} \,d x \]

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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sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int e^{e^{e^{e^{x}}}}\, dx \]

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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