Optimal. Leaf size=17 \[ \frac{a x^5}{5}+\frac{b x^9}{9} \]
[Out]
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Rubi [A] time = 0.013735, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ \frac{a x^5}{5}+\frac{b x^9}{9} \]
Antiderivative was successfully verified.
[In] Int[x^4*(a + b*x^4),x]
[Out]
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Rubi in Sympy [A] time = 3.07485, size = 12, normalized size = 0.71 \[ \frac{a x^{5}}{5} + \frac{b x^{9}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**4*(b*x**4+a),x)
[Out]
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Mathematica [A] time = 0.00179126, size = 17, normalized size = 1. \[ \frac{a x^5}{5}+\frac{b x^9}{9} \]
Antiderivative was successfully verified.
[In] Integrate[x^4*(a + b*x^4),x]
[Out]
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Maple [A] time = 0., size = 14, normalized size = 0.8 \[{\frac{a{x}^{5}}{5}}+{\frac{b{x}^{9}}{9}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^4*(b*x^4+a),x)
[Out]
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Maxima [A] time = 1.43455, size = 18, normalized size = 1.06 \[ \frac{1}{9} \, b x^{9} + \frac{1}{5} \, a x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^4,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.20206, size = 1, normalized size = 0.06 \[ \frac{1}{9} x^{9} b + \frac{1}{5} x^{5} a \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^4,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.063051, size = 12, normalized size = 0.71 \[ \frac{a x^{5}}{5} + \frac{b x^{9}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**4*(b*x**4+a),x)
[Out]
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GIAC/XCAS [A] time = 0.223233, size = 18, normalized size = 1.06 \[ \frac{1}{9} \, b x^{9} + \frac{1}{5} \, a x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)*x^4,x, algorithm="giac")
[Out]