3.811 \(\int \left (1-\sqrt [4]{x}\right ) \, dx\)

Optimal. Leaf size=11 \[ x-\frac{4 x^{5/4}}{5} \]

[Out]

x - (4*x^(5/4))/5

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Rubi [A]  time = 0.00552035, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ x-\frac{4 x^{5/4}}{5} \]

Antiderivative was successfully verified.

[In]  Int[1 - x^(1/4),x]

[Out]

x - (4*x^(5/4))/5

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Rubi in Sympy [A]  time = 0.633267, size = 8, normalized size = 0.73 \[ - \frac{4 x^{\frac{5}{4}}}{5} + x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(1-x**(1/4),x)

[Out]

-4*x**(5/4)/5 + x

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Mathematica [A]  time = 0.00276401, size = 11, normalized size = 1. \[ x-\frac{4 x^{5/4}}{5} \]

Antiderivative was successfully verified.

[In]  Integrate[1 - x^(1/4),x]

[Out]

x - (4*x^(5/4))/5

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Maple [A]  time = 0.002, size = 8, normalized size = 0.7 \[ x-{\frac{4}{5}{x}^{{\frac{5}{4}}}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(1-x^(1/4),x)

[Out]

x-4/5*x^(5/4)

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Maxima [A]  time = 0.702502, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(-x^(1/4) + 1,x, algorithm="maxima")

[Out]

-4/5*x^(5/4) + x

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Fricas [A]  time = 0.265185, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(-x^(1/4) + 1,x, algorithm="fricas")

[Out]

-4/5*x^(5/4) + x

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Sympy [A]  time = 0.068443, size = 8, normalized size = 0.73 \[ - \frac{4 x^{\frac{5}{4}}}{5} + x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1-x**(1/4),x)

[Out]

-4*x**(5/4)/5 + x

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GIAC/XCAS [A]  time = 0.259644, size = 9, normalized size = 0.82 \[ -\frac{4}{5} \, x^{\frac{5}{4}} + x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(-x^(1/4) + 1,x, algorithm="giac")

[Out]

-4/5*x^(5/4) + x