Optimal. Leaf size=11 \[ \frac{1}{30} \left (x^5+1\right )^6 \]
[Out]
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Rubi [A] time = 0.00684124, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ \frac{1}{30} \left (x^5+1\right )^6 \]
Antiderivative was successfully verified.
[In] Int[x^4*(1 + x^5)^5,x]
[Out]
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Rubi in Sympy [A] time = 0.76069, size = 7, normalized size = 0.64 \[ \frac{\left (x^{5} + 1\right )^{6}}{30} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**4*(x**5+1)**5,x)
[Out]
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Mathematica [B] time = 0.0022178, size = 43, normalized size = 3.91 \[ \frac{x^{30}}{30}+\frac{x^{25}}{5}+\frac{x^{20}}{2}+\frac{2 x^{15}}{3}+\frac{x^{10}}{2}+\frac{x^5}{5} \]
Antiderivative was successfully verified.
[In] Integrate[x^4*(1 + x^5)^5,x]
[Out]
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Maple [B] time = 0.003, size = 32, normalized size = 2.9 \[{\frac{{x}^{30}}{30}}+{\frac{{x}^{25}}{5}}+{\frac{{x}^{20}}{2}}+{\frac{2\,{x}^{15}}{3}}+{\frac{{x}^{10}}{2}}+{\frac{{x}^{5}}{5}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^4*(x^5+1)^5,x)
[Out]
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Maxima [A] time = 1.41261, size = 12, normalized size = 1.09 \[ \frac{1}{30} \,{\left (x^{5} + 1\right )}^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^5 + 1)^5*x^4,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.210004, size = 1, normalized size = 0.09 \[ \frac{1}{30} x^{30} + \frac{1}{5} x^{25} + \frac{1}{2} x^{20} + \frac{2}{3} x^{15} + \frac{1}{2} x^{10} + \frac{1}{5} x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^5 + 1)^5*x^4,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.033167, size = 31, normalized size = 2.82 \[ \frac{x^{30}}{30} + \frac{x^{25}}{5} + \frac{x^{20}}{2} + \frac{2 x^{15}}{3} + \frac{x^{10}}{2} + \frac{x^{5}}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**4*(x**5+1)**5,x)
[Out]
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GIAC/XCAS [A] time = 0.219424, size = 12, normalized size = 1.09 \[ \frac{1}{30} \,{\left (x^{5} + 1\right )}^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^5 + 1)^5*x^4,x, algorithm="giac")
[Out]