Optimal. Leaf size=13 \[ \frac{3}{2 x^2}-\frac{4}{x} \]
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Rubi [A] time = 0.0019179, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{3}{2 x^2}-\frac{4}{x} \]
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*}
Mathematica [A] time = 0.0013716, size = 13, normalized size = 1. \[ \frac{3}{2 x^2}-\frac{4}{x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 12, normalized size = 0.9 \begin{align*}{\frac{3}{2\,{x}^{2}}}-4\,{x}^{-1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.989355, size = 15, normalized size = 1.15 \begin{align*} -\frac{4}{x} + \frac{3}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.82569, size = 27, normalized size = 2.08 \begin{align*} -\frac{8 \, x - 3}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.074432, size = 10, normalized size = 0.77 \begin{align*} - \frac{8 x - 3}{2 x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05104, size = 15, normalized size = 1.15 \begin{align*} -\frac{4}{x} + \frac{3}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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