Optimal. Leaf size=21 \[ \frac{3}{7} a x^{7/3}+\frac{3}{10} b x^{10/3} \]
[Out]
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Rubi [A] time = 0.0130831, antiderivative size = 21, 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 \[ \frac{3}{7} a x^{7/3}+\frac{3}{10} b x^{10/3} \]
Antiderivative was successfully verified.
[In] Int[x^(4/3)*(a + b*x),x]
[Out]
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Rubi in Sympy [A] time = 2.35771, size = 19, normalized size = 0.9 \[ \frac{3 a x^{\frac{7}{3}}}{7} + \frac{3 b x^{\frac{10}{3}}}{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**(4/3)*(b*x+a),x)
[Out]
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Mathematica [A] time = 0.00552099, size = 17, normalized size = 0.81 \[ \frac{3}{70} x^{7/3} (10 a+7 b x) \]
Antiderivative was successfully verified.
[In] Integrate[x^(4/3)*(a + b*x),x]
[Out]
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Maple [A] time = 0.003, size = 14, normalized size = 0.7 \[{\frac{21\,bx+30\,a}{70}{x}^{{\frac{7}{3}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^(4/3)*(b*x+a),x)
[Out]
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Maxima [A] time = 1.34989, size = 18, normalized size = 0.86 \[ \frac{3}{10} \, b x^{\frac{10}{3}} + \frac{3}{7} \, a x^{\frac{7}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)*x^(4/3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.205048, size = 24, normalized size = 1.14 \[ \frac{3}{70} \,{\left (7 \, b x^{3} + 10 \, a x^{2}\right )} x^{\frac{1}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)*x^(4/3),x, algorithm="fricas")
[Out]
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Sympy [A] time = 2.58819, size = 19, normalized size = 0.9 \[ \frac{3 a x^{\frac{7}{3}}}{7} + \frac{3 b x^{\frac{10}{3}}}{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**(4/3)*(b*x+a),x)
[Out]
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GIAC/XCAS [A] time = 0.204476, size = 18, normalized size = 0.86 \[ \frac{3}{10} \, b x^{\frac{10}{3}} + \frac{3}{7} \, a x^{\frac{7}{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)*x^(4/3),x, algorithm="giac")
[Out]