Optimal. Leaf size=11 \[ \frac{1}{3 (3-x)^3} \]
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Rubi [A] time = 0.0006913, 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, Rules used = {32} \[ \frac{1}{3 (3-x)^3} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin{align*} \int \frac{1}{(-3+x)^4} \, dx &=\frac{1}{3 (3-x)^3}\\ \end{align*}
Mathematica [A] time = 0.0013664, size = 9, normalized size = 0.82 \[ -\frac{1}{3 (x-3)^3} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 8, normalized size = 0.7 \begin{align*} -{\frac{1}{3\, \left ( -3+x \right ) ^{3}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.973595, size = 9, normalized size = 0.82 \begin{align*} -\frac{1}{3 \,{\left (x - 3\right )}^{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [B] time = 1.49917, size = 43, normalized size = 3.91 \begin{align*} -\frac{1}{3 \,{\left (x^{3} - 9 \, x^{2} + 27 \, x - 27\right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] time = 0.095338, size = 17, normalized size = 1.55 \begin{align*} - \frac{1}{3 x^{3} - 27 x^{2} + 81 x - 81} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07494, size = 9, normalized size = 0.82 \begin{align*} -\frac{1}{3 \,{\left (x - 3\right )}^{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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