Optimal. Leaf size=11 \[ \frac{1}{28} (2-7 x)^4 \]
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Rubi [A] time = 0.0010748, antiderivative size = 11, 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, 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*}
Mathematica [A] time = 0.0014178, size = 11, normalized size = 1. \[ \frac{1}{28} (7 x-2)^4 \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 10, normalized size = 0.9 \begin{align*}{\frac{ \left ( -2+7\,x \right ) ^{4}}{28}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [B] time = 1.10926, size = 26, normalized size = 2.36 \begin{align*} \frac{343}{4} \, x^{4} - 98 \, x^{3} + 42 \, x^{2} - 8 \, x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [B] time = 1.06116, size = 47, normalized size = 4.27 \begin{align*} \frac{343}{4} x^{4} - 98 x^{3} + 42 x^{2} - 8 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] time = 0.052643, size = 19, normalized size = 1.73 \begin{align*} \frac{343 x^{4}}{4} - 98 x^{3} + 42 x^{2} - 8 x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.10219, size = 12, normalized size = 1.09 \begin{align*} \frac{1}{28} \,{\left (7 \, x - 2\right )}^{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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