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 = 0.00580993, 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. \[ 2 x^2+7 x \]

Antiderivative was successfully verified.

[In]  Int[7 + 4*x,x]

[Out]

7*x + 2*x^2

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Rubi in Sympy [F]  time = 0., size = 0, normalized size = 0. \[ 7 x + 4 \int x\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(7+4*x,x)

[Out]

7*x + 4*Integral(x, x)

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Mathematica [A]  time = 0.0000444776, 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 \[ 2\,{x}^{2}+7\,x \]

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 = 1.33512, size = 12, normalized size = 1.33 \[ 2 \, x^{2} + 7 \, x \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

2*x^2 + 7*x

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Fricas [A]  time = 0.17432, size = 1, normalized size = 0.11 \[ 2 x^{2} + 7 x \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

2*x^2 + 7*x

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Sympy [A]  time = 0.024328, size = 7, normalized size = 0.78 \[ 2 x^{2} + 7 x \]

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/XCAS [A]  time = 0.249986, size = 12, normalized size = 1.33 \[ 2 \, x^{2} + 7 \, x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(4*x + 7,x, algorithm="giac")

[Out]

2*x^2 + 7*x