Optimal. Leaf size=12 \[ a x+\frac {c x^3}{3} \]
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Rubi [A] time = 0.00, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ a x+\frac {c x^3}{3} \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (a+c x^2\right ) \, dx &=a x+\frac {c x^3}{3}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ a x+\frac {c x^3}{3} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.71, size = 10, normalized size = 0.83 \[ \frac {1}{3} x^{3} c + x a \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 10, normalized size = 0.83 \[ \frac {1}{3} \, c x^{3} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 11, normalized size = 0.92 \[ \frac {1}{3} c \,x^{3}+a x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.29, size = 10, normalized size = 0.83 \[ \frac {1}{3} \, c x^{3} + a x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 10, normalized size = 0.83 \[ \frac {c\,x^3}{3}+a\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.67 \[ a x + \frac {c x^{3}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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