3.19 \(\int \frac{1}{x^{100}} \, dx\)

Optimal. Leaf size=7 \[ -\frac{1}{99 x^{99}} \]

[Out]

-1/(99*x^99)

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Rubi [A]  time = 0.00326159, 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 \[ -\frac{1}{99 x^{99}} \]

Antiderivative was successfully verified.

[In]  Int[x^(-100),x]

[Out]

-1/(99*x^99)

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Rubi in Sympy [A]  time = 0.90368, size = 7, normalized size = 1. \[ - \frac{1}{99 x^{99}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(1/x**100,x)

[Out]

-1/(99*x**99)

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Mathematica [A]  time = 0.000256306, size = 7, normalized size = 1. \[ -\frac{1}{99 x^{99}} \]

Antiderivative was successfully verified.

[In]  Integrate[x^(-100),x]

[Out]

-1/(99*x^99)

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Maple [A]  time = 0.002, size = 6, normalized size = 0.9 \[ -{\frac{1}{99\,{x}^{99}}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(1/x^100,x)

[Out]

-1/99/x^99

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Maxima [A]  time = 1.34511, size = 7, normalized size = 1. \[ -\frac{1}{99 \, x^{99}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(-100),x, algorithm="maxima")

[Out]

-1/99/x^99

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Fricas [A]  time = 0.187726, size = 7, normalized size = 1. \[ -\frac{1}{99 \, x^{99}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(-100),x, algorithm="fricas")

[Out]

-1/99/x^99

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Sympy [A]  time = 0.031716, size = 7, normalized size = 1. \[ - \frac{1}{99 x^{99}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1/x**100,x)

[Out]

-1/(99*x**99)

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GIAC/XCAS [A]  time = 0.208768, size = 7, normalized size = 1. \[ -\frac{1}{99 \, x^{99}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x^(-100),x, algorithm="giac")

[Out]

-1/99/x^99