3.10 \(\int x^{100} \, dx\)

Optimal. Leaf size=7 \[ \frac{x^{101}}{101} \]

[Out]

x^101/101

_______________________________________________________________________________________

Rubi [A]  time = 0.00350125, 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 \[ \frac{x^{101}}{101} \]

Antiderivative was successfully verified.

[In]  Int[x^100,x]

[Out]

x^101/101

_______________________________________________________________________________________

Rubi in Sympy [A]  time = 0.952965, size = 3, normalized size = 0.43 \[ \frac{x^{101}}{101} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(x**100,x)

[Out]

x**101/101

_______________________________________________________________________________________

Mathematica [A]  time = 0.0000351981, size = 7, normalized size = 1. \[ \frac{x^{101}}{101} \]

Antiderivative was successfully verified.

[In]  Integrate[x^100,x]

[Out]

x^101/101

_______________________________________________________________________________________

Maple [A]  time = 0.001, size = 6, normalized size = 0.9 \[{\frac{{x}^{101}}{101}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(x^100,x)

[Out]

1/101*x^101

_______________________________________________________________________________________

Maxima [A]  time = 1.3286, size = 7, normalized size = 1. \[ \frac{1}{101} \, x^{101} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

1/101*x^101

_______________________________________________________________________________________

Fricas [A]  time = 0.171635, size = 1, normalized size = 0.14 \[ \frac{1}{101} x^{101} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

1/101*x^101

_______________________________________________________________________________________

Sympy [A]  time = 0.024201, size = 3, normalized size = 0.43 \[ \frac{x^{101}}{101} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(x**100,x)

[Out]

x**101/101

_______________________________________________________________________________________

GIAC/XCAS [A]  time = 0.215189, size = 7, normalized size = 1. \[ \frac{1}{101} \, x^{101} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

1/101*x^101