3.48.8 \(\int 18 e^4 \, dx\)

Optimal. Leaf size=6 \[ 18 e^4 x \]

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Rubi [A]  time = 0.00, antiderivative size = 6, normalized size of antiderivative = 1.00, 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*} 18 e^4 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[18*E^4,x]

[Out]

18*E^4*x

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=18 e^4 x\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 6, normalized size = 1.00 \begin {gather*} 18 e^4 x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[18*E^4,x]

[Out]

18*E^4*x

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fricas [A]  time = 0.51, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(18*exp(4),x, algorithm="fricas")

[Out]

18*x*e^4

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giac [A]  time = 0.19, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(18*exp(4),x, algorithm="giac")

[Out]

18*x*e^4

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maple [A]  time = 0.01, size = 6, normalized size = 1.00

method	result	size
default	\(18 x \,{\mathrm e}^{4}\)	\(6\)
norman	\(18 x \,{\mathrm e}^{4}\)	\(6\)
risch	\(18 x \,{\mathrm e}^{4}\)	\(6\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(18*exp(4),x,method=_RETURNVERBOSE)

[Out]

18*x*exp(4)

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maxima [A]  time = 0.37, size = 5, normalized size = 0.83 \begin {gather*} 18 \, x e^{4} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(18*exp(4),x, algorithm="maxima")

[Out]

18*x*e^4

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mupad [B]  time = 0.00, size = 5, normalized size = 0.83 \begin {gather*} 18\,x\,{\mathrm {e}}^4 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(18*exp(4),x)

[Out]

18*x*exp(4)

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sympy [A]  time = 0.01, size = 5, normalized size = 0.83 \begin {gather*} 18 x e^{4} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(18*exp(4),x)

[Out]

18*x*exp(4)

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