3.80.54 \(\int (231-4 x) \, dx\)

Optimal. Leaf size=18 \[ 6+231 x-2 x^2+2 (3-\log (3)) \]

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Rubi [A]  time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.50, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 231 x-2 x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Int[231 - 4*x,x]

[Out]

231*x - 2*x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=231 x-2 x^2\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 9, normalized size = 0.50 \begin {gather*} 231 x-2 x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[231 - 4*x,x]

[Out]

231*x - 2*x^2

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fricas [A]  time = 0.58, size = 9, normalized size = 0.50 \begin {gather*} -2 \, x^{2} + 231 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x+231,x, algorithm="fricas")

[Out]

-2*x^2 + 231*x

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giac [A]  time = 0.22, size = 9, normalized size = 0.50 \begin {gather*} -2 \, x^{2} + 231 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x+231,x, algorithm="giac")

[Out]

-2*x^2 + 231*x

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maple [A]  time = 0.01, size = 9, normalized size = 0.50

method	result	size
gosper	\(-x \left (2 x -231\right )\)	\(9\)
default	\(-2 x^{2}+231 x\)	\(10\)
norman	\(-2 x^{2}+231 x\)	\(10\)
risch	\(-2 x^{2}+231 x\)	\(10\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-4*x+231,x,method=_RETURNVERBOSE)

[Out]

-x*(2*x-231)

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maxima [A]  time = 0.38, size = 9, normalized size = 0.50 \begin {gather*} -2 \, x^{2} + 231 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x+231,x, algorithm="maxima")

[Out]

-2*x^2 + 231*x

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mupad [B]  time = 0.03, size = 8, normalized size = 0.44 \begin {gather*} -x\,\left (2\,x-231\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(231 - 4*x,x)

[Out]

-x*(2*x - 231)

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sympy [A]  time = 0.04, size = 7, normalized size = 0.39 \begin {gather*} - 2 x^{2} + 231 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x+231,x)

[Out]

-2*x**2 + 231*x

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