\(\int (28+2 x) \, dx\) [4105]

Optimal result

Integrand size = 5, antiderivative size = 13 \[ \int (28+2 x) \, dx=2 x+(-4+x) (30+x)+\log (5) \]

[Out]

ln(5)+2*x+(x-4)*(30+x)

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.54, number of steps used = 1, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (28+2 x) \, dx=x^2+28 x \]

[In]

Int[28 + 2*x,x]

[Out]

28*x + x^2

Rubi steps \begin{align*} \text {integral}& = 28 x+x^2 \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.54 \[ \int (28+2 x) \, dx=28 x+x^2 \]

[In]

Integrate[28 + 2*x,x]

[Out]

28*x + x^2

Maple [A] (verified)

Time = 0.20 (sec) , antiderivative size = 6, normalized size of antiderivative = 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	\(x^{2}+28 x\)	\(8\)
parallelrisch	\(x^{2}+28 x\)	\(8\)
parts	\(x^{2}+28 x\)	\(8\)

[In]

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

[Out]

x*(x+28)

Fricas [A] (verification not implemented)

none

Time = 0.24 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.54 \[ \int (28+2 x) \, dx=x^{2} + 28 \, x \]

[In]

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

[Out]

x^2 + 28*x

Sympy [A] (verification not implemented)

Time = 0.02 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.38 \[ \int (28+2 x) \, dx=x^{2} + 28 x \]

[In]

integrate(2*x+28,x)

[Out]

x**2 + 28*x

Maxima [A] (verification not implemented)

none

Time = 0.17 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.54 \[ \int (28+2 x) \, dx=x^{2} + 28 \, x \]

[In]

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

[Out]

x^2 + 28*x

Giac [A] (verification not implemented)

none

Time = 0.27 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.54 \[ \int (28+2 x) \, dx=x^{2} + 28 \, x \]

[In]

integrate(2*x+28,x, algorithm="giac")

[Out]

x^2 + 28*x

Mupad [B] (verification not implemented)

Time = 0.03 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.38 \[ \int (28+2 x) \, dx=x\,\left (x+28\right ) \]

[In]

int(2*x + 28,x)

[Out]

x*(x + 28)