\(\int -\frac {3}{2} \, dx\) [5]

Optimal result

Integrand size = 3, antiderivative size = 5 \[ \int -\frac {3}{2} \, dx=-\frac {3 x}{2} \]

[Out]

-3/2*x

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {8} \[ \int -\frac {3}{2} \, dx=-\frac {3 x}{2} \]

[In]

Int[-3/2,x]

[Out]

(-3*x)/2

Rule 8

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

Rubi steps \begin{align*} \text {integral}& = -\frac {3 x}{2} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 1.00 \[ \int -\frac {3}{2} \, dx=-\frac {3 x}{2} \]

[In]

Integrate[-3/2,x]

[Out]

(-3*x)/2

Maple [A] (verified)

Time = 0.00 (sec) , antiderivative size = 4, normalized size of antiderivative = 0.80

method	result	size
default	\(-\frac {3 x}{2}\)	\(4\)
norman	\(-\frac {3 x}{2}\)	\(4\)
risch	\(-\frac {3 x}{2}\)	\(4\)
parallelrisch	\(-\frac {3 x}{2}\)	\(4\)

[In]

int(-3/2,x,method=_RETURNVERBOSE)

[Out]

-3/2*x

Fricas [A] (verification not implemented)

none

Time = 0.22 (sec) , antiderivative size = 3, normalized size of antiderivative = 0.60 \[ \int -\frac {3}{2} \, dx=-\frac {3}{2} \, x \]

[In]

integrate(-3/2,x, algorithm="fricas")

[Out]

-3/2*x

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 5, normalized size of antiderivative = 1.00 \[ \int -\frac {3}{2} \, dx=- \frac {3 x}{2} \]

[In]

integrate(-3/2,x)

[Out]

-3*x/2

Maxima [A] (verification not implemented)

none

Time = 0.20 (sec) , antiderivative size = 3, normalized size of antiderivative = 0.60 \[ \int -\frac {3}{2} \, dx=-\frac {3}{2} \, x \]

[In]

integrate(-3/2,x, algorithm="maxima")

[Out]

-3/2*x

Giac [A] (verification not implemented)

none

Time = 0.30 (sec) , antiderivative size = 3, normalized size of antiderivative = 0.60 \[ \int -\frac {3}{2} \, dx=-\frac {3}{2} \, x \]

[In]

integrate(-3/2,x, algorithm="giac")

[Out]

-3/2*x

Mupad [B] (verification not implemented)

Time = 0.01 (sec) , antiderivative size = 3, normalized size of antiderivative = 0.60 \[ \int -\frac {3}{2} \, dx=-\frac {3\,x}{2} \]

[In]

int(-3/2,x)

[Out]

-(3*x)/2