3.50.30 \(\int (5-2 x) \, dx\)

Optimal. Leaf size=14 \[ 6+6 e^{16}+(5-x) x \]

________________________________________________________________________________________

Rubi [A]  time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.64, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 5 x-x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Int[5 - 2*x,x]

[Out]

5*x - x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=5 x-x^2\\ \end {aligned} \end {gather*}

________________________________________________________________________________________

Mathematica [A]  time = 0.00, size = 9, normalized size = 0.64 \begin {gather*} 5 x-x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[5 - 2*x,x]

[Out]

5*x - x^2

________________________________________________________________________________________

fricas [A]  time = 1.08, size = 9, normalized size = 0.64 \begin {gather*} -x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-2*x+5,x, algorithm="fricas")

[Out]

-x^2 + 5*x

________________________________________________________________________________________

giac [A]  time = 0.19, size = 9, normalized size = 0.64 \begin {gather*} -x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-2*x+5,x, algorithm="giac")

[Out]

-x^2 + 5*x

________________________________________________________________________________________

maple [A]  time = 0.01, size = 7, normalized size = 0.50

method	result	size
gosper	\(-\left (x -5\right ) x\)	\(7\)
default	\(-x^{2}+5 x\)	\(10\)
norman	\(-x^{2}+5 x\)	\(10\)
risch	\(-x^{2}+5 x\)	\(10\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-2*x+5,x,method=_RETURNVERBOSE)

[Out]

-(x-5)*x

________________________________________________________________________________________

maxima [A]  time = 0.36, size = 9, normalized size = 0.64 \begin {gather*} -x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-2*x+5,x, algorithm="maxima")

[Out]

-x^2 + 5*x

________________________________________________________________________________________

mupad [B]  time = 0.03, size = 6, normalized size = 0.43 \begin {gather*} -x\,\left (x-5\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(5 - 2*x,x)

[Out]

-x*(x - 5)

________________________________________________________________________________________

sympy [A]  time = 0.05, size = 5, normalized size = 0.36 \begin {gather*} - x^{2} + 5 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-2*x+5,x)

[Out]

-x**2 + 5*x

________________________________________________________________________________________