\(\int 1 \, dx\) [2]

Optimal result

Integrand size = 1, antiderivative size = 1 \[ \int 1 \, dx=x \]

[Out]

x

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 1.000, Rules used = {8} \[ \int 1 \, dx=x \]

[In]

Int[1,x]

[Out]

x

Rule 8

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

Rubi steps \begin{align*} \text {integral}& = x \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00 \[ \int 1 \, dx=x \]

[In]

Integrate[1,x]

[Out]

x

Maple [A] (verified)

Time = 0.00 (sec) , antiderivative size = 2, normalized size of antiderivative = 2.00

method	result	size
default	\(x\)	\(2\)
norman	\(x\)	\(2\)
risch	\(x\)	\(2\)
parallelrisch	\(x\)	\(2\)

[In]

int(1,x,method=_RETURNVERBOSE)

[Out]

x

Fricas [A] (verification not implemented)

none

Time = 0.21 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00 \[ \int 1 \, dx=x \]

[In]

integrate(1,x, algorithm="fricas")

[Out]

x

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 0, normalized size of antiderivative = 0.00 \[ \int 1 \, dx=x \]

[In]

integrate(1,x)

[Out]

x

Maxima [A] (verification not implemented)

none

Time = 0.21 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00 \[ \int 1 \, dx=x \]

[In]

integrate(1,x, algorithm="maxima")

[Out]

x

Giac [A] (verification not implemented)

none

Time = 0.29 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00 \[ \int 1 \, dx=x \]

[In]

integrate(1,x, algorithm="giac")

[Out]

x

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 1, normalized size of antiderivative = 1.00 \[ \int 1 \, dx=x \]

[In]

int(1,x)

[Out]

x