Optimal. Leaf size=14 \[ \frac{(a+b x)^{11}}{11 b} \]
[Out]
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Rubi [A] time = 0.0067894, 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 \[ \frac{(a+b x)^{11}}{11 b} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x)^10,x]
[Out]
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Rubi in Sympy [A] time = 1.30491, size = 8, normalized size = 0.57 \[ \frac{\left (a + b x\right )^{11}}{11 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x+a)**10,x)
[Out]
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Mathematica [A] time = 0.00125881, size = 14, normalized size = 1. \[ \frac{(a+b x)^{11}}{11 b} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x)^10,x]
[Out]
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Maple [A] time = 0.001, size = 13, normalized size = 0.9 \[{\frac{ \left ( bx+a \right ) ^{11}}{11\,b}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x+a)^10,x)
[Out]
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Maxima [A] time = 1.33363, size = 16, normalized size = 1.14 \[ \frac{{\left (b x + a\right )}^{11}}{11 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^10,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.17976, size = 1, normalized size = 0.07 \[ \frac{1}{11} x^{11} b^{10} + x^{10} b^{9} a + 5 x^{9} b^{8} a^{2} + 15 x^{8} b^{7} a^{3} + 30 x^{7} b^{6} a^{4} + 42 x^{6} b^{5} a^{5} + 42 x^{5} b^{4} a^{6} + 30 x^{4} b^{3} a^{7} + 15 x^{3} b^{2} a^{8} + 5 x^{2} b a^{9} + x a^{10} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^10,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.15361, size = 114, normalized size = 8.14 \[ a^{10} x + 5 a^{9} b x^{2} + 15 a^{8} b^{2} x^{3} + 30 a^{7} b^{3} x^{4} + 42 a^{6} b^{4} x^{5} + 42 a^{5} b^{5} x^{6} + 30 a^{4} b^{6} x^{7} + 15 a^{3} b^{7} x^{8} + 5 a^{2} b^{8} x^{9} + a b^{9} x^{10} + \frac{b^{10} x^{11}}{11} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x+a)**10,x)
[Out]
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GIAC/XCAS [A] time = 0.203896, size = 16, normalized size = 1.14 \[ \frac{{\left (b x + a\right )}^{11}}{11 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x + a)^10,x, algorithm="giac")
[Out]