Optimal. Leaf size=13 \[ \frac {3-e^5}{x}+x \]
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Rubi [A]
time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 1, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.083, Rules used = {14}
\begin {gather*} x+\frac {3-e^5}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (1+\frac {-3+e^5}{x^2}\right ) \, dx\\ &=\frac {3-e^5}{x}+x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 13, normalized size = 1.00 \begin {gather*} \frac {3-e^5}{x}+x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.08, size = 12, normalized size = 0.92
method | result | size |
default | \(x -\frac {{\mathrm e}^{5}-3}{x}\) | \(12\) |
norman | \(\frac {x^{2}+3-{\mathrm e}^{5}}{x}\) | \(14\) |
gosper | \(-\frac {-x^{2}+{\mathrm e}^{5}-3}{x}\) | \(15\) |
risch | \(\frac {3}{x}-\frac {{\mathrm e}^{5}}{x}+x\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.25, size = 11, normalized size = 0.85 \begin {gather*} x - \frac {e^{5} - 3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.31, size = 13, normalized size = 1.00 \begin {gather*} \frac {x^{2} - e^{5} + 3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.03, size = 7, normalized size = 0.54 \begin {gather*} x + \frac {3 - e^{5}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 11, normalized size = 0.85 \begin {gather*} x - \frac {e^{5} - 3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 11, normalized size = 0.85 \begin {gather*} x-\frac {{\mathrm {e}}^5-3}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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