Optimal. Leaf size=11 \[ -e^e+\frac {25}{x^2} \]
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Rubi [A] time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.45, number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 30} \begin {gather*} \frac {25}{x^2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (50 \int \frac {1}{x^3} \, dx\right )\\ &=\frac {25}{x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 5, normalized size = 0.45 \begin {gather*} \frac {25}{x^2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.59, size = 5, normalized size = 0.45 \begin {gather*} \frac {25}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 5, normalized size = 0.45 \begin {gather*} \frac {25}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 6, normalized size = 0.55
method | result | size |
gosper | \(\frac {25}{x^{2}}\) | \(6\) |
default | \(\frac {25}{x^{2}}\) | \(6\) |
norman | \(\frac {25}{x^{2}}\) | \(6\) |
risch | \(\frac {25}{x^{2}}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 5, normalized size = 0.45 \begin {gather*} \frac {25}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 5, normalized size = 0.45 \begin {gather*} \frac {25}{x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 3, normalized size = 0.27 \begin {gather*} \frac {25}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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