Optimal. Leaf size=11 \[ x-\frac {2 x^{3/2}}{3} \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x-\frac {2 x^{3/2}}{3} \end {gather*}
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*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \begin {gather*} x-\frac {2 x^{3/2}}{3} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.01, size = 15, normalized size = 1.36 \begin {gather*} \frac {1}{3} \left (3 x-2 x^{3/2}\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.62, size = 7, normalized size = 0.64 \begin {gather*} -\frac {2}{3} \, x^{\frac {3}{2}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.36, size = 7, normalized size = 0.64 \begin {gather*} -\frac {2}{3} \, x^{\frac {3}{2}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 8, normalized size = 0.73 \begin {gather*} -\frac {2 x^{\frac {3}{2}}}{3}+x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.90, size = 7, normalized size = 0.64 \begin {gather*} -\frac {2}{3} \, x^{\frac {3}{2}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 7, normalized size = 0.64 \begin {gather*} x-\frac {2\,x^{3/2}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.73 \begin {gather*} - \frac {2 x^{\frac {3}{2}}}{3} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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