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

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

[Out]

3*a*x

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Rubi [A]  time = 0.00, antiderivative size = 4, normalized size of antiderivative = 1.00, 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*}

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Mathematica [A]  time = 0.00, size = 4, normalized size = 1.00 \[ 3 a x \]

Antiderivative was successfully verified.

[In]

Integrate[3*a,x]

[Out]

3*a*x

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fricas [A]  time = 0.36, size = 4, normalized size = 1.00 \[ 3 x a \]

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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giac [A]  time = 1.25, size = 4, normalized size = 1.00 \[ 3 \, a x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x, algorithm="giac")

[Out]

3*a*x

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maple [A]  time = 0.00, size = 5, normalized size = 1.25 \[ 3 a x \]

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 = 0.43, size = 4, normalized size = 1.00 \[ 3 \, a x \]

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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mupad [B]  time = 0.00, size = 4, normalized size = 1.00 \[ 3\,a\,x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*a,x)

[Out]

3*a*x

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sympy [A]  time = 0.02, size = 3, normalized size = 0.75 \[ 3 a x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*a,x)

[Out]

3*a*x

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