Optimal. Leaf size=11 \[ \frac{1}{3 (3-x)^3} \]
[Out]
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Rubi [A] time = 0.00346382, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ \frac{1}{3 (3-x)^3} \]
Antiderivative was successfully verified.
[In] Int[(-3 + x)^(-4),x]
[Out]
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Rubi in Sympy [A] time = 0.53133, size = 7, normalized size = 0.64 \[ \frac{1}{3 \left (- x + 3\right )^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(-3+x)**4,x)
[Out]
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Mathematica [A] time = 0.0019471, size = 9, normalized size = 0.82 \[ -\frac{1}{3 (x-3)^3} \]
Antiderivative was successfully verified.
[In] Integrate[(-3 + x)^(-4),x]
[Out]
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Maple [A] time = 0.001, size = 8, normalized size = 0.7 \[ -{\frac{1}{3\, \left ( -3+x \right ) ^{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(-3+x)^4,x)
[Out]
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Maxima [A] time = 1.32975, size = 9, normalized size = 0.82 \[ -\frac{1}{3 \,{\left (x - 3\right )}^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x - 3)^(-4),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.18834, size = 23, normalized size = 2.09 \[ -\frac{1}{3 \,{\left (x^{3} - 9 \, x^{2} + 27 \, x - 27\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x - 3)^(-4),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.094065, size = 17, normalized size = 1.55 \[ - \frac{1}{3 x^{3} - 27 x^{2} + 81 x - 81} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(-3+x)**4,x)
[Out]
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GIAC/XCAS [A] time = 0.198529, size = 9, normalized size = 0.82 \[ -\frac{1}{3 \,{\left (x - 3\right )}^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((x - 3)^(-4),x, algorithm="giac")
[Out]