3.56.22 \(\int (-1+12 x) \, dx\)

Optimal. Leaf size=14 \[ -e^{18}-x+6 x^2 \]

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Rubi [A]  time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.64, 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*} 6 x^2-x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[-1 + 12*x,x]

[Out]

-x + 6*x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=-x+6 x^2\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 9, normalized size = 0.64 \begin {gather*} -x+6 x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-1 + 12*x,x]

[Out]

-x + 6*x^2

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fricas [A]  time = 0.86, size = 9, normalized size = 0.64 \begin {gather*} 6 \, x^{2} - x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*x-1,x, algorithm="fricas")

[Out]

6*x^2 - x

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giac [A]  time = 0.16, size = 9, normalized size = 0.64 \begin {gather*} 6 \, x^{2} - x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*x-1,x, algorithm="giac")

[Out]

6*x^2 - x

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maple [A]  time = 0.01, size = 10, normalized size = 0.71

method	result	size
gosper	\(6 x^{2}-x\)	\(10\)
default	\(6 x^{2}-x\)	\(10\)
norman	\(6 x^{2}-x\)	\(10\)
risch	\(6 x^{2}-x\)	\(10\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(12*x-1,x,method=_RETURNVERBOSE)

[Out]

6*x^2-x

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maxima [A]  time = 0.36, size = 9, normalized size = 0.64 \begin {gather*} 6 \, x^{2} - x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*x-1,x, algorithm="maxima")

[Out]

6*x^2 - x

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mupad [B]  time = 0.03, size = 7, normalized size = 0.50 \begin {gather*} x\,\left (6\,x-1\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(12*x - 1,x)

[Out]

x*(6*x - 1)

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sympy [A]  time = 0.04, size = 5, normalized size = 0.36 \begin {gather*} 6 x^{2} - x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*x-1,x)

[Out]

6*x**2 - x

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