Optimal. Leaf size=16 \[ -\frac {x^6}{2}-\frac {x^3}{3}+x \]
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Rubi [A] time = 0.00, antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -\frac {x^6}{2}-\frac {x^3}{3}+x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (1-x^2-3 x^5\right ) \, dx &=x-\frac {x^3}{3}-\frac {x^6}{2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 16, normalized size = 1.00 \begin {gather*} -\frac {x^6}{2}-\frac {x^3}{3}+x \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \left (1-x^2-3 x^5\right ) \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 0.99, size = 12, normalized size = 0.75 \begin {gather*} -\frac {1}{2} x^{6} - \frac {1}{3} x^{3} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.96, size = 12, normalized size = 0.75 \begin {gather*} -\frac {1}{2} \, x^{6} - \frac {1}{3} \, x^{3} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 13, normalized size = 0.81 \begin {gather*} -\frac {1}{2} x^{6}-\frac {1}{3} x^{3}+x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.98, size = 12, normalized size = 0.75 \begin {gather*} -\frac {1}{2} \, x^{6} - \frac {1}{3} \, x^{3} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 12, normalized size = 0.75 \begin {gather*} -\frac {x^6}{2}-\frac {x^3}{3}+x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 10, normalized size = 0.62 \begin {gather*} - \frac {x^{6}}{2} - \frac {x^{3}}{3} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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