3.42.5 \(\int (28+2 x) \, dx\)

Optimal. Leaf size=13 \[ 2 x+(-4+x) (30+x)+\log (5) \]

________________________________________________________________________________________

Rubi [A]  time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.54, 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*} x^2+28 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[28 + 2*x,x]

[Out]

28*x + x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=28 x+x^2\\ \end {aligned} \end {gather*}

________________________________________________________________________________________

Mathematica [A]  time = 0.00, size = 7, normalized size = 0.54 \begin {gather*} 28 x+x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[28 + 2*x,x]

[Out]

28*x + x^2

________________________________________________________________________________________

fricas [A]  time = 0.56, size = 7, normalized size = 0.54 \begin {gather*} x^{2} + 28 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*x+28,x, algorithm="fricas")

[Out]

x^2 + 28*x

________________________________________________________________________________________

giac [A]  time = 0.17, size = 7, normalized size = 0.54 \begin {gather*} x^{2} + 28 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*x+28,x, algorithm="giac")

[Out]

x^2 + 28*x

________________________________________________________________________________________

maple [A]  time = 0.01, size = 6, normalized size = 0.46

method	result	size
gosper	\(x \left (x +28\right )\)	\(6\)
default	\(x^{2}+28 x\)	\(8\)
norman	\(x^{2}+28 x\)	\(8\)
risch	\(x^{2}+28 x\)	\(8\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*x+28,x,method=_RETURNVERBOSE)

[Out]

x*(x+28)

________________________________________________________________________________________

maxima [A]  time = 0.36, size = 7, normalized size = 0.54 \begin {gather*} x^{2} + 28 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*x+28,x, algorithm="maxima")

[Out]

x^2 + 28*x

________________________________________________________________________________________

mupad [B]  time = 0.03, size = 5, normalized size = 0.38 \begin {gather*} x\,\left (x+28\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*x + 28,x)

[Out]

x*(x + 28)

________________________________________________________________________________________

sympy [A]  time = 0.05, size = 5, normalized size = 0.38 \begin {gather*} x^{2} + 28 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*x+28,x)

[Out]

x**2 + 28*x

________________________________________________________________________________________