3.7.50 \(\int 2 e^6 \, dx\)

Optimal. Leaf size=21 \[ -\frac {7}{3}+e^6 \left (2 x-2 \log \left (\log \left (2+e^2\right )\right )\right ) \]

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Rubi [A]  time = 0.00, antiderivative size = 6, normalized size of antiderivative = 0.29, 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^6 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[2*E^6,x]

[Out]

2*E^6*x

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=2 e^6 x\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 6, normalized size = 0.29 \begin {gather*} 2 e^6 x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[2*E^6,x]

[Out]

2*E^6*x

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fricas [A]  time = 0.75, size = 5, normalized size = 0.24 \begin {gather*} 2 \, x e^{6} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(3)^2,x, algorithm="fricas")

[Out]

2*x*e^6

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giac [A]  time = 0.40, size = 5, normalized size = 0.24 \begin {gather*} 2 \, x e^{6} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(3)^2,x, algorithm="giac")

[Out]

2*x*e^6

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maple [A]  time = 0.01, size = 6, normalized size = 0.29

method	result	size
risch	\(2 x \,{\mathrm e}^{6}\)	\(6\)
default	\(2 x \,{\mathrm e}^{6}\)	\(8\)
norman	\(2 x \,{\mathrm e}^{6}\)	\(8\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*exp(3)^2,x,method=_RETURNVERBOSE)

[Out]

2*x*exp(6)

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maxima [A]  time = 0.44, size = 5, normalized size = 0.24 \begin {gather*} 2 \, x e^{6} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(3)^2,x, algorithm="maxima")

[Out]

2*x*e^6

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mupad [B]  time = 0.00, size = 5, normalized size = 0.24 \begin {gather*} 2\,x\,{\mathrm {e}}^6 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*exp(6),x)

[Out]

2*x*exp(6)

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sympy [A]  time = 0.01, size = 5, normalized size = 0.24 \begin {gather*} 2 x e^{6} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(3)**2,x)

[Out]

2*x*exp(6)

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