Optimal. Leaf size=12 \[ -5+2 x+e^5 x^3 \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.92, number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} e^5 x^3+2 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 x+e^5 x^3\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 0.92 \begin {gather*} 2 x+e^5 x^3 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.77, size = 10, normalized size = 0.83 \begin {gather*} x^{3} e^{5} + 2 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 10, normalized size = 0.83 \begin {gather*} x^{3} e^{5} + 2 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 11, normalized size = 0.92
method | result | size |
gosper | \(x^{3} {\mathrm e}^{5}+2 x\) | \(11\) |
default | \(x^{3} {\mathrm e}^{5}+2 x\) | \(11\) |
norman | \(x^{3} {\mathrm e}^{5}+2 x\) | \(11\) |
risch | \(x^{3} {\mathrm e}^{5}+2 x\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 10, normalized size = 0.83 \begin {gather*} x^{3} e^{5} + 2 \, x \end {gather*}
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 \begin {gather*} {\mathrm {e}}^5\,x^3+2\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 8, normalized size = 0.67 \begin {gather*} x^{3} e^{5} + 2 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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