\(\int -2 e^2 \, dx\) [4607]

Optimal result

Integrand size = 5, antiderivative size = 16 \[ \int -2 e^2 \, dx=-25+e^{25}+e^{e^2}-2 e^2 x \]

[Out]

-25+exp(exp(2))-2*exp(2)*x+exp(25)

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {8} \[ \int -2 e^2 \, dx=-2 e^2 x \]

[In]

Int[-2*E^2,x]

[Out]

-2*E^2*x

Rule 8

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

Rubi steps \begin{align*} \text {integral}& = -2 e^2 x \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38 \[ \int -2 e^2 \, dx=-2 e^2 x \]

[In]

Integrate[-2*E^2,x]

[Out]

-2*E^2*x

Maple [A] (verified)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38

method	result	size
default	\(-2 \,{\mathrm e}^{2} x\)	\(6\)
norman	\(-2 \,{\mathrm e}^{2} x\)	\(6\)
risch	\(-2 \,{\mathrm e}^{2} x\)	\(6\)
parallelrisch	\(-2 \,{\mathrm e}^{2} x\)	\(6\)

[In]

int(-2*exp(2),x,method=_RETURNVERBOSE)

[Out]

-2*exp(2)*x

Fricas [A] (verification not implemented)

none

Time = 0.22 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]

[In]

integrate(-2*exp(2),x, algorithm="fricas")

[Out]

-2*x*e^2

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.44 \[ \int -2 e^2 \, dx=- 2 x e^{2} \]

[In]

integrate(-2*exp(2),x)

[Out]

-2*x*exp(2)

Maxima [A] (verification not implemented)

none

Time = 0.20 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]

[In]

integrate(-2*exp(2),x, algorithm="maxima")

[Out]

-2*x*e^2

Giac [A] (verification not implemented)

none

Time = 0.25 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]

[In]

integrate(-2*exp(2),x, algorithm="giac")

[Out]

-2*x*e^2

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2\,x\,{\mathrm {e}}^2 \]

[In]

int(-2*exp(2),x)

[Out]

-2*x*exp(2)