Optimal. Leaf size=25 \[ -\frac {16 x^7}{7}+\frac {32 x^5}{5}-\frac {19 x^3}{3}+3 x \]
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Rubi [A] time = 0.00, antiderivative size = 25, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 17, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ -\frac {16 x^7}{7}+\frac {32 x^5}{5}-\frac {19 x^3}{3}+3 x \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (3-19 x^2+32 x^4-16 x^6\right ) \, dx &=3 x-\frac {19 x^3}{3}+\frac {32 x^5}{5}-\frac {16 x^7}{7}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 25, normalized size = 1.00 \[ -\frac {16 x^7}{7}+\frac {32 x^5}{5}-\frac {19 x^3}{3}+3 x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.72, size = 19, normalized size = 0.76 \[ -\frac {16}{7} x^{7} + \frac {32}{5} x^{5} - \frac {19}{3} x^{3} + 3 x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.28, size = 19, normalized size = 0.76 \[ -\frac {16}{7} \, x^{7} + \frac {32}{5} \, x^{5} - \frac {19}{3} \, x^{3} + 3 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 20, normalized size = 0.80 \[ -\frac {16}{7} x^{7}+\frac {32}{5} x^{5}-\frac {19}{3} x^{3}+3 x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.64, size = 19, normalized size = 0.76 \[ -\frac {16}{7} \, x^{7} + \frac {32}{5} \, x^{5} - \frac {19}{3} \, x^{3} + 3 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 19, normalized size = 0.76 \[ -\frac {16\,x^7}{7}+\frac {32\,x^5}{5}-\frac {19\,x^3}{3}+3\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 22, normalized size = 0.88 \[ - \frac {16 x^{7}}{7} + \frac {32 x^{5}}{5} - \frac {19 x^{3}}{3} + 3 x \]
Verification of antiderivative is not currently implemented for this CAS.
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