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

Optimal. Leaf size=9 \[ 2 e x-\log (2) \]

[Out]

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

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Rubi [A]
time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.44, number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {8} \begin {gather*} 2 e x \end {gather*}

Antiderivative was successfully verified.

[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 {gather*} \begin {aligned} \text {integral} &=2 e x\\ \end {aligned} \end {gather*}

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Mathematica [A]
time = 0.00, size = 4, normalized size = 0.44 \begin {gather*} 2 e x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[2*E,x]

[Out]

2*E*x

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Maple [A]
time = 0.18, size = 6, normalized size = 0.67

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x*exp(1)

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Maxima [A]
time = 0.34, size = 5, normalized size = 0.56 \begin {gather*} 2 \, x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x*e

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Fricas [A]
time = 0.35, size = 5, normalized size = 0.56 \begin {gather*} 2 \, x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x*e

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Sympy [A]
time = 0.01, size = 5, normalized size = 0.56 \begin {gather*} 2 e x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(1),x)

[Out]

2*E*x

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Giac [A]
time = 0.39, size = 5, normalized size = 0.56 \begin {gather*} 2 \, x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x*e

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Mupad [B]
time = 0.00, size = 5, normalized size = 0.56 \begin {gather*} 2\,x\,\mathrm {e} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*exp(1),x)

[Out]

2*x*exp(1)

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