3.35.18 \(\int -e^{e^3} \, dx\)

Optimal. Leaf size=11 \[ e^{e^3} (1-x) \]

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Rubi [A]  time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.73, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} -e^{e^3} x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[-E^E^3,x]

[Out]

-(E^E^3*x)

Rule 8

Int[a_, x_Symbol] :> Simp[a*x, x] /; FreeQ[a, x]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=-e^{e^3} x\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 8, normalized size = 0.73 \begin {gather*} -e^{e^3} x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-E^E^3,x]

[Out]

-(E^E^3*x)

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fricas [A]  time = 0.99, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(exp(3)),x, algorithm="fricas")

[Out]

-x*e^(e^3)

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giac [A]  time = 0.13, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(exp(3)),x, algorithm="giac")

[Out]

-x*e^(e^3)

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maple [A]  time = 0.01, size = 7, normalized size = 0.64

method	result	size
default	\(-x \,{\mathrm e}^{{\mathrm e}^{3}}\)	\(7\)
norman	\(-x \,{\mathrm e}^{{\mathrm e}^{3}}\)	\(7\)
risch	\(-x \,{\mathrm e}^{{\mathrm e}^{3}}\)	\(7\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-exp(exp(3)),x,method=_RETURNVERBOSE)

[Out]

-x*exp(exp(3))

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maxima [A]  time = 0.67, size = 6, normalized size = 0.55 \begin {gather*} -x e^{\left (e^{3}\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(exp(3)),x, algorithm="maxima")

[Out]

-x*e^(e^3)

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mupad [B]  time = 0.00, size = 6, normalized size = 0.55 \begin {gather*} -x\,{\mathrm {e}}^{{\mathrm {e}}^3} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-exp(exp(3)),x)

[Out]

-x*exp(exp(3))

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sympy [A]  time = 0.05, size = 7, normalized size = 0.64 \begin {gather*} - x e^{e^{3}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(exp(3)),x)

[Out]

-x*exp(exp(3))

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