3.1911 \(\int \left (33+\sqrt [33]{x}\right ) \, dx\)

Optimal. Leaf size=13 \[ \frac{33 x^{34/33}}{34}+33 x \]

[Out]

33*x + (33*x^(34/33))/34

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Rubi [A]  time = 0.00606912, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \frac{33 x^{34/33}}{34}+33 x \]

Antiderivative was successfully verified.

[In]  Int[33 + x^(1/33),x]

[Out]

33*x + (33*x^(34/33))/34

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Rubi in Sympy [A]  time = 1.08291, size = 10, normalized size = 0.77 \[ \frac{33 x^{\frac{34}{33}}}{34} + 33 x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(33+x**(1/33),x)

[Out]

33*x**(34/33)/34 + 33*x

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Mathematica [A]  time = 0.00213685, size = 13, normalized size = 1. \[ \frac{33 x^{34/33}}{34}+33 x \]

Antiderivative was successfully verified.

[In]  Integrate[33 + x^(1/33),x]

[Out]

33*x + (33*x^(34/33))/34

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Maple [A]  time = 0.003, size = 10, normalized size = 0.8 \[ 33\,x+{\frac{33}{34}{x}^{{\frac{34}{33}}}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(33+x^(1/33),x)

[Out]

33*x+33/34*x^(34/33)

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Maxima [A]  time = 1.34213, size = 12, normalized size = 0.92 \[ \frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(1/33) + 33,x, algorithm="maxima")

[Out]

33/34*x^(34/33) + 33*x

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Fricas [A]  time = 0.196589, size = 12, normalized size = 0.92 \[ \frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(1/33) + 33,x, algorithm="fricas")

[Out]

33/34*x^(34/33) + 33*x

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Sympy [A]  time = 0.031848, size = 10, normalized size = 0.77 \[ \frac{33 x^{\frac{34}{33}}}{34} + 33 x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(33+x**(1/33),x)

[Out]

33*x**(34/33)/34 + 33*x

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GIAC/XCAS [A]  time = 0.240879, size = 12, normalized size = 0.92 \[ \frac{33}{34} \, x^{\frac{34}{33}} + 33 \, x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(1/33) + 33,x, algorithm="giac")

[Out]

33/34*x^(34/33) + 33*x