3.55.15 \(\int 60 \log (8) \, dx\)

Optimal. Leaf size=14 \[ 5 \left (8+\left (-\frac {1}{3}+12 x\right ) \log (8)\right ) \]

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Rubi [A]  time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.36, number of steps used = 1, number of rules used = 1, integrand size = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {8} \begin {gather*} 60 x \log (8) \end {gather*}

Antiderivative was successfully verified.

[In]

Int[60*Log[8],x]

[Out]

60*x*Log[8]

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=60 x \log (8)\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 5, normalized size = 0.36 \begin {gather*} 60 x \log (8) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[60*Log[8],x]

[Out]

60*x*Log[8]

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fricas [A]  time = 0.40, size = 5, normalized size = 0.36 \begin {gather*} 180 \, x \log \relax (2) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(180*log(2),x, algorithm="fricas")

[Out]

180*x*log(2)

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giac [A]  time = 0.17, size = 5, normalized size = 0.36 \begin {gather*} 180 \, x \log \relax (2) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(180*log(2),x, algorithm="giac")

[Out]

180*x*log(2)

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maple [A]  time = 0.02, size = 6, normalized size = 0.43

method	result	size
default	\(180 x \ln \relax (2)\)	\(6\)
norman	\(180 x \ln \relax (2)\)	\(6\)
risch	\(180 x \ln \relax (2)\)	\(6\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(180*ln(2),x,method=_RETURNVERBOSE)

[Out]

180*x*ln(2)

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maxima [A]  time = 0.37, size = 5, normalized size = 0.36 \begin {gather*} 180 \, x \log \relax (2) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(180*log(2),x, algorithm="maxima")

[Out]

180*x*log(2)

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mupad [B]  time = 0.00, size = 5, normalized size = 0.36 \begin {gather*} 180\,x\,\ln \relax (2) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(180*log(2),x)

[Out]

180*x*log(2)

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sympy [A]  time = 0.01, size = 5, normalized size = 0.36 \begin {gather*} 180 x \log {\relax (2 )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(180*ln(2),x)

[Out]

180*x*log(2)

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