3.56.14 \(\int -e \, dx\)

Optimal. Leaf size=6 \[ 4-e x \]

________________________________________________________________________________________

Rubi [A]  time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.67, 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*} -e x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[-E,x]

[Out]

-(E*x)

Rule 8

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

Rubi steps

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

________________________________________________________________________________________

Mathematica [A]  time = 0.00, size = 4, normalized size = 0.67 \begin {gather*} -e x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-E,x]

[Out]

-(E*x)

________________________________________________________________________________________

fricas [A]  time = 0.62, size = 5, normalized size = 0.83 \begin {gather*} -x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(1),x, algorithm="fricas")

[Out]

-x*e

________________________________________________________________________________________

giac [A]  time = 0.14, size = 5, normalized size = 0.83 \begin {gather*} -x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(1),x, algorithm="giac")

[Out]

-x*e

________________________________________________________________________________________

maple [A]  time = 0.02, size = 6, normalized size = 1.00

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-exp(1),x,method=_RETURNVERBOSE)

[Out]

-x*exp(1)

________________________________________________________________________________________

maxima [A]  time = 0.37, size = 5, normalized size = 0.83 \begin {gather*} -x e \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(1),x, algorithm="maxima")

[Out]

-x*e

________________________________________________________________________________________

mupad [B]  time = 0.00, size = 5, normalized size = 0.83 \begin {gather*} -x\,\mathrm {e} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-exp(1),x)

[Out]

-x*exp(1)

________________________________________________________________________________________

sympy [A]  time = 0.01, size = 5, normalized size = 0.83 \begin {gather*} - e x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-exp(1),x)

[Out]

-E*x

________________________________________________________________________________________