Optimal. Leaf size=11 \[ \frac {1}{30} \left (x^5+1\right )^6 \]
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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 = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.091, Rules used = {261} \[ \frac {1}{30} \left (x^5+1\right )^6 \]
Antiderivative was successfully verified.
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Rule 261
Rubi steps
\begin {align*} \int x^4 \left (1+x^5\right )^5 \, dx &=\frac {1}{30} \left (1+x^5\right )^6\\ \end {align*}
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Mathematica [B] time = 0.00, size = 43, normalized size = 3.91 \[ \frac {x^{30}}{30}+\frac {x^{25}}{5}+\frac {x^{20}}{2}+\frac {2 x^{15}}{3}+\frac {x^{10}}{2}+\frac {x^5}{5} \]
Antiderivative was successfully verified.
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fricas [B] time = 0.35, size = 31, normalized size = 2.82 \[ \frac {1}{30} x^{30} + \frac {1}{5} x^{25} + \frac {1}{2} x^{20} + \frac {2}{3} x^{15} + \frac {1}{2} x^{10} + \frac {1}{5} x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 9, normalized size = 0.82 \[ \frac {1}{30} \, {\left (x^{5} + 1\right )}^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.00, size = 32, normalized size = 2.91 \[ \frac {1}{30} x^{30}+\frac {1}{5} x^{25}+\frac {1}{2} x^{20}+\frac {2}{3} x^{15}+\frac {1}{2} x^{10}+\frac {1}{5} x^{5} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.52, size = 9, normalized size = 0.82 \[ \frac {1}{30} \, {\left (x^{5} + 1\right )}^{6} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 31, normalized size = 2.82 \[ \frac {x^{30}}{30}+\frac {x^{25}}{5}+\frac {x^{20}}{2}+\frac {2\,x^{15}}{3}+\frac {x^{10}}{2}+\frac {x^5}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [B] time = 0.06, size = 31, normalized size = 2.82 \[ \frac {x^{30}}{30} + \frac {x^{25}}{5} + \frac {x^{20}}{2} + \frac {2 x^{15}}{3} + \frac {x^{10}}{2} + \frac {x^{5}}{5} \]
Verification of antiderivative is not currently implemented for this CAS.
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