Optimal. Leaf size=14 \[ \frac{2 (b x)^{5/2}}{5 b} \]
[Out]
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Rubi [A] time = 0.00678556, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ \frac{2 (b x)^{5/2}}{5 b} \]
Antiderivative was successfully verified.
[In] Int[(b*x)^(3/2),x]
[Out]
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Rubi in Sympy [A] time = 1.34173, size = 10, normalized size = 0.71 \[ \frac{2 \left (b x\right )^{\frac{5}{2}}}{5 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x)**(3/2),x)
[Out]
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Mathematica [A] time = 0.00177495, size = 12, normalized size = 0.86 \[ \frac{2}{5} x (b x)^{3/2} \]
Antiderivative was successfully verified.
[In] Integrate[(b*x)^(3/2),x]
[Out]
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Maple [A] time = 0.003, size = 9, normalized size = 0.6 \[{\frac{2\,x}{5} \left ( bx \right ) ^{{\frac{3}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x)^(3/2),x)
[Out]
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Maxima [A] time = 1.43371, size = 14, normalized size = 1. \[ \frac{2 \, \left (b x\right )^{\frac{5}{2}}}{5 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(3/2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.249105, size = 15, normalized size = 1.07 \[ \frac{2}{5} \, \sqrt{b x} b x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(3/2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.061012, size = 10, normalized size = 0.71 \[ \frac{2 \left (b x\right )^{\frac{5}{2}}}{5 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)**(3/2),x)
[Out]
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GIAC/XCAS [A] time = 0.227453, size = 15, normalized size = 1.07 \[ \frac{2}{5} \, \sqrt{b x} b x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x)^(3/2),x, algorithm="giac")
[Out]