3.1.1 \(\int 0 \, dx\) [1]

Optimal. Leaf size=1 \[ 0 \]

[Out]

0

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Rubi [A]
time = 0.00, antiderivative size = 1, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 1.000, Rules used = {8} \begin {gather*} 0 \end {gather*}

Antiderivative was successfully verified.

[In]

Int[0,x]

[Out]

0

Rule 8

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

Rubi steps

\begin {align*} \int 0 \, dx &=0\\ \end {align*}

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Mathematica [A]
time = 0.01, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[0,x]

[Out]

0

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Mathics [A]
time = 1.47, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Antiderivative was successfully verified.

[In]

mathics('Integrate[0,x]')

[Out]

0

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Maple [A]
time = 0.01, size = 2, normalized size = 2.00

method	result	size
default	\(0\)	\(2\)
norman	\(0\)	\(2\)
meijerg	\(0\)	\(2\)
risch	\(0\)	\(2\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(0,x,method=_RETURNVERBOSE)

[Out]

0

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Maxima [B] Error detected during grading. Assigning place holder grade for now.
time = 0.25, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(0,x, algorithm="maxima")

[Out]

0

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Fricas [A]
time = 0.29, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(0,x, algorithm="fricas")

[Out]

0

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Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} 0 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(0,x)

[Out]

0

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Giac [B] N/A
time = 0.00, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(0,x)

[Out]

0

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Mupad [B]
time = 0.04, size = 1, normalized size = 1.00 \begin {gather*} 0 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(0,x)

[Out]

0

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