Optimal. Leaf size=14 \[ \frac{(a+b x)^6}{6 b} \]
[Out]
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Rubi [A] time = 0.00677724, 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 \[ \frac{(a+b x)^6}{6 b} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x)^5,x]
[Out]
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Rubi in Sympy [A] time = 1.25636, size = 8, normalized size = 0.57 \[ \frac{\left (a + b x\right )^{6}}{6 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x+a)**5,x)
[Out]
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Mathematica [A] time = 0.00223444, size = 14, normalized size = 1. \[ \frac{(a+b x)^6}{6 b} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x)^5,x]
[Out]
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Maple [A] time = 0.001, size = 13, normalized size = 0.9 \[{\frac{ \left ( bx+a \right ) ^{6}}{6\,b}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x+a)^5,x)
[Out]
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Maxima [A] time = 1.32991, size = 72, normalized size = 5.14 \[ \frac{1}{6} \, b^{5} x^{6} + a b^{4} x^{5} + \frac{5}{2} \, a^{2} b^{3} x^{4} + \frac{10}{3} \, a^{3} b^{2} x^{3} + \frac{5}{2} \, a^{4} b x^{2} + a^{5} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^5,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.179826, size = 1, normalized size = 0.07 \[ \frac{1}{6} x^{6} b^{5} + x^{5} b^{4} a + \frac{5}{2} x^{4} b^{3} a^{2} + \frac{10}{3} x^{3} b^{2} a^{3} + \frac{5}{2} x^{2} b a^{4} + x a^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^5,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.117757, size = 60, normalized size = 4.29 \[ a^{5} x + \frac{5 a^{4} b x^{2}}{2} + \frac{10 a^{3} b^{2} x^{3}}{3} + \frac{5 a^{2} b^{3} x^{4}}{2} + a b^{4} x^{5} + \frac{b^{5} x^{6}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x+a)**5,x)
[Out]
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GIAC/XCAS [A] time = 0.206837, size = 16, normalized size = 1.14 \[ \frac{{\left (b x + a\right )}^{6}}{6 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^5,x, algorithm="giac")
[Out]