Optimal. Leaf size=16 \[ \frac {\sqrt {2} x^3}{3}+x^2 \]
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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 = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \frac {\sqrt {2} x^3}{3}+x^2 \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (2 x+\sqrt {2} x^2\right ) \, dx &=x^2+\frac {\sqrt {2} x^3}{3}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 16, normalized size = 1.00 \[ \frac {\sqrt {2} x^3}{3}+x^2 \]
Antiderivative was successfully verified.
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fricas [F(-2)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Exception raised: SyntaxError} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.07, size = 12, normalized size = 0.75 \[ \frac {1}{3} \, \sqrt {2} x^{3} + x^{2} \]
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 \[ \frac {\sqrt {2}\, x^{3}}{3}+x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.95, size = 12, normalized size = 0.75 \[ \frac {1}{3} \, \sqrt {2} x^{3} + x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 12, normalized size = 0.75 \[ \frac {x^2\,\left (\sqrt {2}\,x+3\right )}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 12, normalized size = 0.75 \[ \frac {\sqrt {2} x^{3}}{3} + x^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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