\(\int (-1+12 x) \, dx\) [5522]

Optimal result

Integrand size = 5, antiderivative size = 14 \[ \int (-1+12 x) \, dx=-e^{18}-x+6 x^2 \]

[Out]

6*x^2-exp(9)^2-x

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.64, number of steps used = 1, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (-1+12 x) \, dx=6 x^2-x \]

[In]

Int[-1 + 12*x,x]

[Out]

-x + 6*x^2

Rubi steps \begin{align*} \text {integral}& = -x+6 x^2 \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.64 \[ \int (-1+12 x) \, dx=-x+6 x^2 \]

[In]

Integrate[-1 + 12*x,x]

[Out]

-x + 6*x^2

Maple [A] (verified)

Time = 0.00 (sec) , antiderivative size = 10, normalized size of antiderivative = 0.71

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

[In]

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

[Out]

6*x^2-x

Fricas [A] (verification not implemented)

none

Time = 0.24 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.64 \[ \int (-1+12 x) \, dx=6 \, x^{2} - x \]

[In]

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

[Out]

6*x^2 - x

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.36 \[ \int (-1+12 x) \, dx=6 x^{2} - x \]

[In]

integrate(12*x-1,x)

[Out]

6*x**2 - x

Maxima [A] (verification not implemented)

none

Time = 0.19 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.64 \[ \int (-1+12 x) \, dx=6 \, x^{2} - x \]

[In]

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

[Out]

6*x^2 - x

Giac [A] (verification not implemented)

none

Time = 0.26 (sec) , antiderivative size = 9, normalized size of antiderivative = 0.64 \[ \int (-1+12 x) \, dx=6 \, x^{2} - x \]

[In]

integrate(12*x-1,x, algorithm="giac")

[Out]

6*x^2 - x

Mupad [B] (verification not implemented)

Time = 0.19 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.50 \[ \int (-1+12 x) \, dx=x\,\left (6\,x-1\right ) \]

[In]

int(12*x - 1,x)

[Out]

x*(6*x - 1)