3.1894 \(\int (7+4 x) \, dx\)

Optimal. Leaf size=9 \[ 2 x^2+7 x \]

[Out]

7*x + 2*x^2

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Rubi [A]  time = 0.0014703, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ 2 x^2+7 x \]

Antiderivative was successfully verified.

[In]

Int[7 + 4*x,x]

[Out]

7*x + 2*x^2

Rubi steps

\begin{align*} \int (7+4 x) \, dx &=7 x+2 x^2\\ \end{align*}

Mathematica [A]  time = 0.0000427, size = 9, normalized size = 1. \[ 2 x^2+7 x \]

Antiderivative was successfully verified.

[In]

Integrate[7 + 4*x,x]

[Out]

7*x + 2*x^2

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Maple [A]  time = 0.002, size = 10, normalized size = 1.1 \begin{align*} 2\,{x}^{2}+7\,x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(7+4*x,x)

[Out]

2*x^2+7*x

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Maxima [A]  time = 0.988286, size = 12, normalized size = 1.33 \begin{align*} 2 \, x^{2} + 7 \, x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x^2 + 7*x

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Fricas [A]  time = 1.72032, size = 18, normalized size = 2. \begin{align*} 2 x^{2} + 7 x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

2*x^2 + 7*x

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Sympy [A]  time = 0.048471, size = 7, normalized size = 0.78 \begin{align*} 2 x^{2} + 7 x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x)

[Out]

2*x**2 + 7*x

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Giac [A]  time = 1.07415, size = 12, normalized size = 1.33 \begin{align*} 2 \, x^{2} + 7 \, x \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x, algorithm="giac")

[Out]

2*x^2 + 7*x