Optimal. Leaf size=11 \[ x-\frac{2 x^{3/2}}{3} \]
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Rubi [A] time = 0.0011952, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ x-\frac{2 x^{3/2}}{3} \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (1-\sqrt{x}\right ) \, dx &=x-\frac{2 x^{3/2}}{3}\\ \end{align*}
Mathematica [A] time = 0.0008729, size = 11, normalized size = 1. \[ x-\frac{2 x^{3/2}}{3} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 8, normalized size = 0.7 \begin{align*} x-{\frac{2}{3}{x}^{{\frac{3}{2}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.99302, size = 9, normalized size = 0.82 \begin{align*} -\frac{2}{3} \, x^{\frac{3}{2}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.69338, size = 24, normalized size = 2.18 \begin{align*} -\frac{2}{3} \, x^{\frac{3}{2}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.054076, size = 8, normalized size = 0.73 \begin{align*} - \frac{2 x^{\frac{3}{2}}}{3} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.22417, size = 9, normalized size = 0.82 \begin{align*} -\frac{2}{3} \, x^{\frac{3}{2}} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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