3.12 \(\int x^2 \, dx\)

Optimal. Leaf size=7 \[ \frac{x^3}{3} \]

[Out]

x^3/3

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Rubi [A]  time = 0.00274865, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333 \[ \frac{x^3}{3} \]

Antiderivative was successfully verified.

[In]  Int[x^2,x]

[Out]

x^3/3

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Rubi in Sympy [A]  time = 0.903916, size = 3, normalized size = 0.43 \[ \frac{x^{3}}{3} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(x**2,x)

[Out]

x**3/3

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Mathematica [A]  time = 0.0000431977, size = 7, normalized size = 1. \[ \frac{x^3}{3} \]

Antiderivative was successfully verified.

[In]  Integrate[x^2,x]

[Out]

x^3/3

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Maple [A]  time = 0.002, size = 6, normalized size = 0.9 \[{\frac{{x}^{3}}{3}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(x^2,x)

[Out]

1/3*x^3

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Maxima [A]  time = 1.33211, size = 7, normalized size = 1. \[ \frac{1}{3} \, x^{3} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^2,x, algorithm="maxima")

[Out]

1/3*x^3

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Fricas [A]  time = 0.170871, size = 1, normalized size = 0.14 \[ \frac{1}{3} x^{3} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^2,x, algorithm="fricas")

[Out]

1/3*x^3

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Sympy [A]  time = 0.023, size = 3, normalized size = 0.43 \[ \frac{x^{3}}{3} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x**2,x)

[Out]

x**3/3

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GIAC/XCAS [A]  time = 0.220919, size = 7, normalized size = 1. \[ \frac{1}{3} \, x^{3} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^2,x, algorithm="giac")

[Out]

1/3*x^3