\(\int \pi \, dx\) [6]

Optimal result

Integrand size = 1, antiderivative size = 3 \[ \int \pi \, dx=\pi x \]

[Out]

Pi*x

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 3, 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} \[ \int \pi \, dx=\pi x \]

[In]

Int[Pi,x]

[Out]

Pi*x

Rule 8

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

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

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int \pi \, dx=\pi x \]

[In]

Integrate[Pi,x]

[Out]

Pi*x

Maple [A] (verified)

Time = 0.00 (sec) , antiderivative size = 4, normalized size of antiderivative = 1.33

method	result	size
default	\(\pi x\)	\(4\)
norman	\(\pi x\)	\(4\)
risch	\(\pi x\)	\(4\)
parallelrisch	\(\pi x\)	\(4\)

[In]

int(Pi,x,method=_RETURNVERBOSE)

[Out]

Pi*x

Fricas [A] (verification not implemented)

none

Time = 0.21 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int \pi \, dx=\pi x \]

[In]

integrate(pi,x, algorithm="fricas")

[Out]

pi*x

Sympy [A] (verification not implemented)

Time = 0.01 (sec) , antiderivative size = 2, normalized size of antiderivative = 0.67 \[ \int \pi \, dx=\pi x \]

[In]

integrate(pi,x)

[Out]

pi*x

Maxima [A] (verification not implemented)

none

Time = 0.21 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int \pi \, dx=\pi x \]

[In]

integrate(pi,x, algorithm="maxima")

[Out]

pi*x

Giac [A] (verification not implemented)

none

Time = 0.30 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int \pi \, dx=\pi x \]

[In]

integrate(pi,x, algorithm="giac")

[Out]

pi*x

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int \pi \, dx=\Pi \,x \]

[In]

int(Pi,x)

[Out]

Pi*x