Optimal. Leaf size=13 \[ \frac {3}{2 x^2}-\frac {4}{x} \]
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Rubi [A] time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \frac {3}{2 x^2}-\frac {4}{x} \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (-\frac {3}{x^3}+\frac {4}{x^2}\right ) \, dx &=\frac {3}{2 x^2}-\frac {4}{x}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \begin {gather*} \frac {3}{2 x^2}-\frac {4}{x} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \left (-\frac {3}{x^3}+\frac {4}{x^2}\right ) \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.23, size = 10, normalized size = 0.77 \begin {gather*} -\frac {8 \, x - 3}{2 \, x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.90, size = 11, normalized size = 0.85 \begin {gather*} -\frac {4}{x} + \frac {3}{2 \, x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 12, normalized size = 0.92 \begin {gather*} -\frac {4}{x}+\frac {3}{2 x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.97, size = 11, normalized size = 0.85 \begin {gather*} -\frac {4}{x} + \frac {3}{2 \, x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 10, normalized size = 0.77 \begin {gather*} -\frac {8\,x-3}{2\,x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 8, normalized size = 0.62 \begin {gather*} \frac {3 - 8 x}{2 x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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