3.47.7 \(\int -2 e^2 \, dx\)

Optimal. Leaf size=16 \[ -25+e^{25}+e^{e^2}-2 e^2 x \]

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Rubi [A]  time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.38, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {8} \begin {gather*} -2 e^2 x \end {gather*}

Antiderivative was successfully verified.

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

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Mathematica [A]  time = 0.00, size = 6, normalized size = 0.38 \begin {gather*} -2 e^2 x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-2*E^2,x]

[Out]

-2*E^2*x

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fricas [A]  time = 0.62, size = 5, normalized size = 0.31 \begin {gather*} -2 \, x e^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*x*e^2

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giac [A]  time = 0.15, size = 5, normalized size = 0.31 \begin {gather*} -2 \, x e^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*x*e^2

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maple [A]  time = 0.01, size = 6, normalized size = 0.38

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*exp(2)*x

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maxima [A]  time = 0.37, size = 5, normalized size = 0.31 \begin {gather*} -2 \, x e^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*x*e^2

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mupad [B]  time = 0.00, size = 5, normalized size = 0.31 \begin {gather*} -2\,x\,{\mathrm {e}}^2 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*x*exp(2)

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sympy [A]  time = 0.01, size = 7, normalized size = 0.44 \begin {gather*} - 2 x e^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

-2*x*exp(2)

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