3.30.41 \(\int e^{20} \log (3) \, dx\)

Optimal. Leaf size=9 \[ e^{20} (5+x) \log (3) \]

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Rubi [A]  time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.78, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {8} \begin {gather*} e^{20} x \log (3) \end {gather*}

Antiderivative was successfully verified.

[In]

Int[E^20*Log[3],x]

[Out]

E^20*x*Log[3]

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=e^{20} x \log (3)\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 7, normalized size = 0.78 \begin {gather*} e^{20} x \log (3) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[E^20*Log[3],x]

[Out]

E^20*x*Log[3]

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fricas [A]  time = 0.48, size = 6, normalized size = 0.67 \begin {gather*} x e^{20} \log \relax (3) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(20)*log(3),x, algorithm="fricas")

[Out]

x*e^20*log(3)

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giac [A]  time = 0.16, size = 6, normalized size = 0.67 \begin {gather*} x e^{20} \log \relax (3) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(20)*log(3),x, algorithm="giac")

[Out]

x*e^20*log(3)

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maple [A]  time = 0.01, size = 7, normalized size = 0.78

method	result	size
default	\({\mathrm e}^{20} \ln \relax (3) x\)	\(7\)
norman	\({\mathrm e}^{20} \ln \relax (3) x\)	\(7\)
risch	\({\mathrm e}^{20} \ln \relax (3) x\)	\(7\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(20)*ln(3),x,method=_RETURNVERBOSE)

[Out]

exp(20)*ln(3)*x

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maxima [A]  time = 0.36, size = 6, normalized size = 0.67 \begin {gather*} x e^{20} \log \relax (3) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(20)*log(3),x, algorithm="maxima")

[Out]

x*e^20*log(3)

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mupad [B]  time = 0.00, size = 6, normalized size = 0.67 \begin {gather*} x\,{\mathrm {e}}^{20}\,\ln \relax (3) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(20)*log(3),x)

[Out]

x*exp(20)*log(3)

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sympy [A]  time = 0.01, size = 7, normalized size = 0.78 \begin {gather*} x e^{20} \log {\relax (3 )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(20)*ln(3),x)

[Out]

x*exp(20)*log(3)

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