3.69.86 $\int \log (2)dx$

Optimal. Leaf size=20 $$-4+\log (2)(4+x+\log (e^3+e^{10e^2}))$$

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Rubi [A]  time = 0.00, antiderivative size = 4, normalized size of antiderivative = 0.20, number of steps used = 1, number of rules used = 1, integrand size = 2, $\frac{\text{number of rules}}{\text{integrand size}}$ = 0.500, Rules used = {8} $$\begin{array}{c}x\log (2)\end{array}$$

Antiderivative was successfully verified.

[In]

Int[Log[2],x]

[Out]

x*Log[2]

Rule 8

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

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =x\log (2)\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 4, normalized size = 0.20 $$\begin{array}{c}x\log (2)\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[Log[2],x]

[Out]

x*Log[2]

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fricas [A]  time = 0.93, size = 4, normalized size = 0.20 $$\begin{array}{c}x\log (2)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x*log(2)

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giac [A]  time = 0.22, size = 4, normalized size = 0.20 $$\begin{array}{c}x\log (2)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(log(2),x, algorithm="giac")

[Out]

x*log(2)

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maple [A]  time = 0.01, size = 5, normalized size = 0.25

method	result	size
default	$x\ln (2)$	$5$
norman	$x\ln (2)$	$5$
risch	$x\ln (2)$	$5$

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x*ln(2)

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maxima [A]  time = 0.36, size = 4, normalized size = 0.20 $$\begin{array}{c}x\log (2)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x*log(2)

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mupad [B]  time = 0.00, size = 4, normalized size = 0.20 $$\begin{array}{c}x\ln (2)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(log(2),x)

[Out]

x*log(2)

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sympy [A]  time = 0.01, size = 3, normalized size = 0.15 $$\begin{array}{c}x\log (2)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(ln(2),x)

[Out]

x*log(2)

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