\(\int -e^{e^3} \, dx\) [3418]

Optimal result

Integrand size = 7, antiderivative size = 11 \[ \int -e^{e^3} \, dx=e^{e^3} (1-x) \]

[Out]

exp(exp(3))*(1-x)

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.73, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \[ \int -e^{e^3} \, dx=-e^{e^3} x \]

[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{align*} \text {integral}& = -e^{e^3} x \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.73 \[ \int -e^{e^3} \, dx=-e^{e^3} x \]

[In]

Integrate[-E^E^3,x]

[Out]

-(E^E^3*x)

Maple [A] (verified)

Time = 0.11 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.64

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

[In]

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

[Out]

-x*exp(exp(3))

Fricas [A] (verification not implemented)

none

Time = 0.22 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.55 \[ \int -e^{e^3} \, dx=-x e^{\left (e^{3}\right )} \]

[In]

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

[Out]

-x*e^(e^3)

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.64 \[ \int -e^{e^3} \, dx=- x e^{e^{3}} \]

[In]

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

[Out]

-x*exp(exp(3))

Maxima [A] (verification not implemented)

none

Time = 0.19 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.55 \[ \int -e^{e^3} \, dx=-x e^{\left (e^{3}\right )} \]

[In]

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

[Out]

-x*e^(e^3)

Giac [A] (verification not implemented)

none

Time = 0.25 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.55 \[ \int -e^{e^3} \, dx=-x e^{\left (e^{3}\right )} \]

[In]

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

[Out]

-x*e^(e^3)

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.55 \[ \int -e^{e^3} \, dx=-x\,{\mathrm {e}}^{{\mathrm {e}}^3} \]

[In]

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

[Out]

-x*exp(exp(3))