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

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

[Out]

Pi*x

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Rubi [A]  time = 0.00307568, 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. \[ \pi x \]

Antiderivative was successfully verified.

[In]  Int[Pi,x]

[Out]

Pi*x

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Rubi in Sympy [F]  time = 0., size = 0, normalized size = 0. \[ \int \pi \, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(pi,x)

[Out]

Integral(pi, x)

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Mathematica [A]  time = 0.0000278385, 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., size = 4, normalized size = 1.3 \[ \pi \,x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(Pi,x)

[Out]

Pi*x

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Maxima [A]  time = 1.32926, size = 4, normalized size = 1.33 \[ \pi x \]

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 = 0.19709, size = 4, normalized size = 1.33 \[ \pi x \]

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 = 0.017577, size = 2, normalized size = 0.67 \[ \pi x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(pi,x)

[Out]

pi*x

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GIAC/XCAS [A]  time = 0.20663, size = 4, normalized size = 1.33 \[ \pi x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(pi,x, algorithm="giac")

[Out]

pi*x