3.8 \(\int 3 a \, dx\)

Optimal. Leaf size=4 \[ 3 a x \]

[Out]

3*a*x

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Rubi [A]  time = 0.0004491, antiderivative size = 4, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333, Rules used = {8} \[ 3 a x \]

Antiderivative was successfully verified.

[In]

Int[3*a,x]

[Out]

3*a*x

Rule 8

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

Rubi steps

\begin{align*} \int 3 a \, dx &=3 a x\\ \end{align*}

Mathematica [A]  time = 0.0001987, size = 4, normalized size = 1. \[ 3 a x \]

Antiderivative was successfully verified.

[In]

Integrate[3*a,x]

[Out]

3*a*x

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Maple [A]  time = 0.001, size = 5, normalized size = 1.3 \begin{align*} 3\,ax \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*a,x)

[Out]

3*a*x

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Maxima [A]  time = 0.942301, size = 5, normalized size = 1.25 \begin{align*} 3 \, a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x, algorithm="maxima")

[Out]

3*a*x

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Fricas [A]  time = 1.23851, size = 9, normalized size = 2.25 \begin{align*} 3 x a \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x, algorithm="fricas")

[Out]

3*x*a

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Sympy [A]  time = 0.017083, size = 3, normalized size = 0.75 \begin{align*} 3 a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x)

[Out]

3*a*x

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Giac [A]  time = 1.09375, size = 5, normalized size = 1.25 \begin{align*} 3 \, a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x, algorithm="giac")

[Out]

3*a*x