\(\int (7+4 x) \, dx\) [1894]

Optimal result

Integrand size = 5, antiderivative size = 9 \[ \int (7+4 x) \, dx=7 x+2 x^2 \]

[Out]

2*x^2+7*x

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int (7+4 x) \, dx=2 x^2+7 x \]

[In]

Int[7 + 4*x,x]

[Out]

7*x + 2*x^2

Rubi steps \begin{align*} \text {integral}& = 7 x+2 x^2 \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int (7+4 x) \, dx=7 x+2 x^2 \]

[In]

Integrate[7 + 4*x,x]

[Out]

7*x + 2*x^2

Maple [A] (verified)

Time = 0.01 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.11

method	result	size
gosper	\(2 x^{2}+7 x\)	\(10\)
default	\(2 x^{2}+7 x\)	\(10\)
norman	\(2 x^{2}+7 x\)	\(10\)
risch	\(2 x^{2}+7 x\)	\(10\)
parallelrisch	\(2 x^{2}+7 x\)	\(10\)
parts	\(2 x^{2}+7 x\)	\(10\)

[In]

int(7+4*x,x,method=_RETURNVERBOSE)

[Out]

2*x^2+7*x

Fricas [A] (verification not implemented)

none

Time = 0.21 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int (7+4 x) \, dx=2 \, x^{2} + 7 \, x \]

[In]

integrate(7+4*x,x, algorithm="fricas")

[Out]

2*x^2 + 7*x

Sympy [A] (verification not implemented)

Time = 0.01 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.78 \[ \int (7+4 x) \, dx=2 x^{2} + 7 x \]

[In]

integrate(7+4*x,x)

[Out]

2*x**2 + 7*x

Maxima [A] (verification not implemented)

none

Time = 0.25 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int (7+4 x) \, dx=2 \, x^{2} + 7 \, x \]

[In]

integrate(7+4*x,x, algorithm="maxima")

[Out]

2*x^2 + 7*x

Giac [A] (verification not implemented)

none

Time = 0.29 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int (7+4 x) \, dx=2 \, x^{2} + 7 \, x \]

[In]

integrate(7+4*x,x, algorithm="giac")

[Out]

2*x^2 + 7*x

Mupad [B] (verification not implemented)

Time = 0.04 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.78 \[ \int (7+4 x) \, dx=x\,\left (2\,x+7\right ) \]

[In]

int(4*x + 7,x)

[Out]

x*(2*x + 7)