3.2.70 \(\int e^{e^{e^{e^x}}} \, dx\) [170]

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

[Out]

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

________________________________________________________________________________________

Rubi [A]
time = 0.03, 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 = {} \begin {gather*} \int e^{e^{e^{e^x}}} \, dx \end {gather*}

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

________________________________________________________________________________________

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

Verification is not applicable to the result.

[In]

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

[Out]

Integrate[E^E^E^E^x, x]

________________________________________________________________________________________

Mathics [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {cought exception: maximum recursion depth exceeded in __instancecheck__} \end {gather*}

Warning: Unable to verify antiderivative.

[In]

mathics('Integrate[E^(E^(E^(E^x))),x]')

[Out]

cought exception: maximum recursion depth exceeded in __instancecheck__

________________________________________________________________________________________

Maple [A]
time = 0.01, 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)

________________________________________________________________________________________

Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}

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)

________________________________________________________________________________________

Fricas [A]
time = 0.31, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}

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)

________________________________________________________________________________________

Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int e^{e^{e^{e^{x}}}}\, dx \end {gather*}

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)

________________________________________________________________________________________

Giac [A] N/A
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Could not integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

Could not integrate

________________________________________________________________________________________

Mupad [A]
time = 0.00, size = -1, normalized size = -0.08 \begin {gather*} \int {\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^x}}} \,d x \end {gather*}

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)

________________________________________________________________________________________