3.5 \(\int -\frac{3}{2} \, dx\)

Optimal. Leaf size=5 \[ -\frac{3 x}{2} \]

[Out]

(-3*x)/2

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Rubi [A]  time = 0.0002704, antiderivative size = 5, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333, Rules used = {8} \[ -\frac{3 x}{2} \]

Antiderivative was successfully verified.

[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*} \int -\frac{3}{2} \, dx &=-\frac{3 x}{2}\\ \end{align*}

Mathematica [A]  time = 0.0001681, size = 5, normalized size = 1. \[ -\frac{3 x}{2} \]

Antiderivative was successfully verified.

[In]

Integrate[-3/2,x]

[Out]

(-3*x)/2

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Maple [A]  time = 0., size = 4, normalized size = 0.8 \begin{align*} -{\frac{3\,x}{2}} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-3/2,x)

[Out]

-3/2*x

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Maxima [A]  time = 0.960652, size = 4, normalized size = 0.8 \begin{align*} -\frac{3}{2} \, x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-3/2,x, algorithm="maxima")

[Out]

-3/2*x

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Fricas [A]  time = 1.65863, size = 11, normalized size = 2.2 \begin{align*} -\frac{3}{2} \, x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-3/2,x, algorithm="fricas")

[Out]

-3/2*x

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Sympy [A]  time = 0.016378, size = 5, normalized size = 1. \begin{align*} - \frac{3 x}{2} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-3/2,x)

[Out]

-3*x/2

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Giac [A]  time = 1.12385, size = 4, normalized size = 0.8 \begin{align*} -\frac{3}{2} \, x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-3/2,x, algorithm="giac")

[Out]

-3/2*x