Optimal. Leaf size=12 \[ (2+x) \left (13+\sqrt [25]{e}+x\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 13, normalized size of antiderivative = 1.08, 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*} x^2+\left (15+\sqrt [25]{e}\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\left (15+\sqrt [25]{e}\right ) x+x^2\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 1.17 \begin {gather*} 15 x+\sqrt [25]{e} x+x^2 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.63, size = 11, normalized size = 0.92 \begin {gather*} x^{2} + x e^{\frac {1}{25}} + 15 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.16, size = 11, normalized size = 0.92 \begin {gather*} x^{2} + x e^{\frac {1}{25}} + 15 \, 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 |
norman | \(x^{2}+\left ({\mathrm e}^{\frac {1}{25}}+15\right ) x\) | \(11\) |
gosper | \(x \,{\mathrm e}^{\frac {1}{25}}+x^{2}+15 x\) | \(12\) |
default | \(x \,{\mathrm e}^{\frac {1}{25}}+x^{2}+15 x\) | \(12\) |
risch | \(x \,{\mathrm e}^{\frac {1}{25}}+x^{2}+15 x\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 11, normalized size = 0.92 \begin {gather*} x^{2} + x e^{\frac {1}{25}} + 15 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.36, size = 10, normalized size = 0.83 \begin {gather*} x^2+\left ({\mathrm {e}}^{1/25}+15\right )\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 10, normalized size = 0.83 \begin {gather*} x^{2} + x \left (e^{\frac {1}{25}} + 15\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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