3.7 \(\int a \, dx\)

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

[Out]

a*x

________________________________________________________________________________________

Rubi [A]  time = 0.0003791, antiderivative size = 3, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 1, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 1., Rules used = {8} \[ a x \]

Antiderivative was successfully verified.

[In]

Int[a,x]

[Out]

a*x

Rule 8

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

Rubi steps

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

Mathematica [A]  time = 0.0001677, size = 3, normalized size = 1. \[ a x \]

Antiderivative was successfully verified.

[In]

Integrate[a,x]

[Out]

a*x

________________________________________________________________________________________

Maple [A]  time = 0., size = 4, normalized size = 1.3 \begin{align*} ax \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(a,x)

[Out]

a*x

________________________________________________________________________________________

Maxima [A]  time = 0.923964, size = 4, normalized size = 1.33 \begin{align*} a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(a,x, algorithm="maxima")

[Out]

a*x

________________________________________________________________________________________

Fricas [A]  time = 1.28907, size = 7, normalized size = 2.33 \begin{align*} x a \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(a,x, algorithm="fricas")

[Out]

x*a

________________________________________________________________________________________

Sympy [A]  time = 0.016325, size = 2, normalized size = 0.67 \begin{align*} a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(a,x)

[Out]

a*x

________________________________________________________________________________________

Giac [A]  time = 1.10167, size = 4, normalized size = 1.33 \begin{align*} a x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(a,x, algorithm="giac")

[Out]

a*x