3.6 \(\int \pi \, dx\)

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

[Out]

Pi*x

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Rubi [A]  time = 0.0005006, 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} \[ \pi x \]

Antiderivative was successfully verified.

[In]

Int[Pi,x]

[Out]

Pi*x

Rule 8

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

Rubi steps

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

Mathematica [A]  time = 0.0001817, size = 3, normalized size = 1. \[ \pi x \]

Antiderivative was successfully verified.

[In]

Integrate[Pi,x]

[Out]

Pi*x

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Maple [A]  time = 0.001, size = 4, normalized size = 1.3 \begin{align*} \pi \,x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(Pi,x)

[Out]

Pi*x

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Maxima [A]  time = 0.939773, size = 4, normalized size = 1.33 \begin{align*} \pi x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(pi,x, algorithm="maxima")

[Out]

pi*x

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Fricas [A]  time = 1.47275, size = 8, normalized size = 2.67 \begin{align*} \pi x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(pi,x, algorithm="fricas")

[Out]

pi*x

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Sympy [A]  time = 0.016236, size = 2, normalized size = 0.67 \begin{align*} \pi x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(pi,x)

[Out]

pi*x

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Giac [A]  time = 1.12539, size = 4, normalized size = 1.33 \begin{align*} \pi x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(pi,x, algorithm="giac")

[Out]

pi*x