Optimal. Leaf size=11 \[ \frac {1}{28} (2-7 x)^4 \]
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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 = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {32} \[ \frac {1}{28} (2-7 x)^4 \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin {align*} \int (-2+7 x)^3 \, dx &=\frac {1}{28} (2-7 x)^4\\ \end {align*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ \frac {1}{28} (7 x-2)^4 \]
Antiderivative was successfully verified.
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fricas [B] time = 0.60, size = 19, normalized size = 1.73 \[ \frac {343}{4} x^{4} - 98 x^{3} + 42 x^{2} - 8 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.22, size = 9, normalized size = 0.82 \[ \frac {1}{28} \, {\left (7 \, x - 2\right )}^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 10, normalized size = 0.91 \[ \frac {\left (7 x -2\right )^{4}}{28} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [B] time = 0.86, size = 19, normalized size = 1.73 \[ \frac {343}{4} \, x^{4} - 98 \, x^{3} + 42 \, x^{2} - 8 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.14, size = 9, normalized size = 0.82 \[ \frac {{\left (7\,x-2\right )}^4}{28} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [B] time = 0.06, size = 19, normalized size = 1.73 \[ \frac {343 x^{4}}{4} - 98 x^{3} + 42 x^{2} - 8 x \]
Verification of antiderivative is not currently implemented for this CAS.
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