Optimal. Leaf size=13 \[ -e^{\frac {65536}{x^{48}}}-4 x \]
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Rubi [A] time = 0.02, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 2, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.105, Rules used = {14, 2209} \begin {gather*} -e^{\frac {65536}{x^{48}}}-4 x \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rule 2209
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-4+\frac {3145728 e^{\frac {65536}{x^{48}}}}{x^{49}}\right ) \, dx\\ &=-4 x+3145728 \int \frac {e^{\frac {65536}{x^{48}}}}{x^{49}} \, dx\\ &=-e^{\frac {65536}{x^{48}}}-4 x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 13, normalized size = 1.00 \begin {gather*} -e^{\frac {65536}{x^{48}}}-4 x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.88, size = 12, normalized size = 0.92 \begin {gather*} -4 \, x - e^{\left (\frac {65536}{x^{48}}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 12, normalized size = 0.92 \begin {gather*} -4 \, x - e^{\left (\frac {65536}{x^{48}}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 13, normalized size = 1.00
method | result | size |
derivativedivides | \(-4 x -{\mathrm e}^{\frac {65536}{x^{48}}}\) | \(13\) |
default | \(-4 x -{\mathrm e}^{\frac {65536}{x^{48}}}\) | \(13\) |
risch | \(-4 x -{\mathrm e}^{\frac {65536}{x^{48}}}\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.45, size = 12, normalized size = 0.92 \begin {gather*} -4 \, x - e^{\left (\frac {65536}{x^{48}}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 1.19, size = 12, normalized size = 0.92 \begin {gather*} -4\,x-{\mathrm {e}}^{\frac {65536}{x^{48}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 10, normalized size = 0.77 \begin {gather*} - 4 x - e^{\frac {65536}{x^{48}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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