\(\int 2 e \, dx\) [5930]

Optimal result

Integrand size = 3, antiderivative size = 9 \[ \int 2 e \, dx=2 e x-\log (2) \]

[Out]

2*x*exp(1)-ln(2)

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 4, normalized size of antiderivative = 0.44, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {8} \[ \int 2 e \, dx=2 e x \]

[In]

Int[2*E,x]

[Out]

2*E*x

Rule 8

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

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

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 4, normalized size of antiderivative = 0.44 \[ \int 2 e \, dx=2 e x \]

[In]

Integrate[2*E,x]

[Out]

2*E*x

Maple [A] (verified)

Time = 0.02 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.67

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

[In]

int(2*exp(1),x,method=_RETURNVERBOSE)

[Out]

2*x*exp(1)

Fricas [A] (verification not implemented)

none

Time = 0.23 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int 2 e \, dx=2 \, x e \]

[In]

integrate(2*exp(1),x, algorithm="fricas")

[Out]

2*x*e

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int 2 e \, dx=2 e x \]

[In]

integrate(2*exp(1),x)

[Out]

2*E*x

Maxima [A] (verification not implemented)

none

Time = 0.20 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int 2 e \, dx=2 \, x e \]

[In]

integrate(2*exp(1),x, algorithm="maxima")

[Out]

2*x*e

Giac [A] (verification not implemented)

none

Time = 0.26 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int 2 e \, dx=2 \, x e \]

[In]

integrate(2*exp(1),x, algorithm="giac")

[Out]

2*x*e

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int 2 e \, dx=2\,x\,\mathrm {e} \]

[In]

int(2*exp(1),x)

[Out]

2*x*exp(1)