Optimal. Leaf size=11 \[ \frac {1}{3 (3-x)^3} \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, 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*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.82 \[ -\frac {1}{3 (x-3)^3} \]
Antiderivative was successfully verified.
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fricas [B] time = 0.41, size = 17, normalized size = 1.55 \[ -\frac {1}{3 \, {\left (x^{3} - 9 \, x^{2} + 27 \, x - 27\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.08, size = 7, normalized size = 0.64 \[ -\frac {1}{3 \, {\left (x - 3\right )}^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 8, normalized size = 0.73 \[ -\frac {1}{3 \left (x -3\right )^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.41, size = 7, normalized size = 0.64 \[ -\frac {1}{3 \, {\left (x - 3\right )}^{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.07, size = 7, normalized size = 0.64 \[ -\frac {1}{3\,{\left (x-3\right )}^3} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [B] time = 0.11, 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.
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