Optimal. Leaf size=15 \[ \frac {x^5}{5}-\frac {x^4}{4} \]
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Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \frac {x^5}{5}-\frac {x^4}{4} \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (-x^3+x^4\right ) \, dx &=-\frac {x^4}{4}+\frac {x^5}{5}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 1.00 \[ \frac {x^5}{5}-\frac {x^4}{4} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.38, size = 11, normalized size = 0.73 \[ \frac {1}{5} x^{5} - \frac {1}{4} x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.08, size = 11, normalized size = 0.73 \[ \frac {1}{5} \, x^{5} - \frac {1}{4} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 12, normalized size = 0.80 \[ \frac {1}{5} x^{5}-\frac {1}{4} x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.08, size = 11, normalized size = 0.73 \[ \frac {1}{5} \, x^{5} - \frac {1}{4} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 10, normalized size = 0.67 \[ \frac {x^4\,\left (4\,x-5\right )}{20} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 8, normalized size = 0.53 \[ \frac {x^{5}}{5} - \frac {x^{4}}{4} \]
Verification of antiderivative is not currently implemented for this CAS.
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