Optimal. Leaf size=11 \[ \frac{1}{15} \left (x^3+1\right )^5 \]
[Out]
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Rubi [A] time = 0.00669756, 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 \[ \frac{1}{15} \left (x^3+1\right )^5 \]
Antiderivative was successfully verified.
[In] Int[x^2*(1 + x^3)^4,x]
[Out]
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Rubi in Sympy [A] time = 0.794474, size = 7, normalized size = 0.64 \[ \frac{\left (x^{3} + 1\right )^{5}}{15} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**2*(x**3+1)**4,x)
[Out]
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Mathematica [B] time = 0.00202133, size = 36, normalized size = 3.27 \[ \frac{x^{15}}{15}+\frac{x^{12}}{3}+\frac{2 x^9}{3}+\frac{2 x^6}{3}+\frac{x^3}{3} \]
Antiderivative was successfully verified.
[In] Integrate[x^2*(1 + x^3)^4,x]
[Out]
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Maple [B] time = 0.001, size = 27, normalized size = 2.5 \[{\frac{{x}^{15}}{15}}+{\frac{{x}^{12}}{3}}+{\frac{2\,{x}^{9}}{3}}+{\frac{2\,{x}^{6}}{3}}+{\frac{{x}^{3}}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^2*(x^3+1)^4,x)
[Out]
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Maxima [A] time = 1.33682, size = 12, normalized size = 1.09 \[ \frac{1}{15} \,{\left (x^{3} + 1\right )}^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^3 + 1)^4*x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.189837, size = 1, normalized size = 0.09 \[ \frac{1}{15} x^{15} + \frac{1}{3} x^{12} + \frac{2}{3} x^{9} + \frac{2}{3} x^{6} + \frac{1}{3} x^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^3 + 1)^4*x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.031505, size = 27, normalized size = 2.45 \[ \frac{x^{15}}{15} + \frac{x^{12}}{3} + \frac{2 x^{9}}{3} + \frac{2 x^{6}}{3} + \frac{x^{3}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**2*(x**3+1)**4,x)
[Out]
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GIAC/XCAS [A] time = 0.203509, size = 12, normalized size = 1.09 \[ \frac{1}{15} \,{\left (x^{3} + 1\right )}^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x^3 + 1)^4*x^2,x, algorithm="giac")
[Out]