Optimal. Leaf size=15 \[ \frac{x^7}{7}+\frac{1}{35 x^5} \]
[Out]
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Rubi [A] time = 0.00727833, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \frac{x^7}{7}+\frac{1}{35 x^5} \]
Antiderivative was successfully verified.
[In] Int[-1/(7*x^6) + x^6,x]
[Out]
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Rubi in Sympy [A] time = 1.20098, size = 10, normalized size = 0.67 \[ \frac{x^{7}}{7} + \frac{1}{35 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(-1/7/x**6+x**6,x)
[Out]
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Mathematica [A] time = 0.00167351, size = 15, normalized size = 1. \[ \frac{x^7}{7}+\frac{1}{35 x^5} \]
Antiderivative was successfully verified.
[In] Integrate[-1/(7*x^6) + x^6,x]
[Out]
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Maple [A] time = 0.002, size = 12, normalized size = 0.8 \[{\frac{1}{35\,{x}^{5}}}+{\frac{{x}^{7}}{7}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(-1/7/x^6+x^6,x)
[Out]
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Maxima [A] time = 1.34005, size = 15, normalized size = 1. \[ \frac{1}{7} \, x^{7} + \frac{1}{35 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6 - 1/7/x^6,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.197554, size = 16, normalized size = 1.07 \[ \frac{5 \, x^{12} + 1}{35 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6 - 1/7/x^6,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.083025, size = 10, normalized size = 0.67 \[ \frac{x^{7}}{7} + \frac{1}{35 x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-1/7/x**6+x**6,x)
[Out]
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GIAC/XCAS [A] time = 0.241303, size = 15, normalized size = 1. \[ \frac{1}{7} \, x^{7} + \frac{1}{35 \, x^{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6 - 1/7/x^6,x, algorithm="giac")
[Out]