Optimal. Leaf size=11 \[ \frac {2}{3} (x+1)^{3/2} \]
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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 = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {32} \[ \frac {2}{3} (x+1)^{3/2} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin {align*} \int \sqrt {1+x} \, dx &=\frac {2}{3} (1+x)^{3/2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ \frac {2}{3} (x+1)^{3/2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 7, normalized size = 0.64 \[ \frac {2}{3} \, {\left (x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.32, size = 7, normalized size = 0.64 \[ \frac {2}{3} \, {\left (x + 1\right )}^{\frac {3}{2}} \]
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 \[ \frac {2 \left (x +1\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.88, size = 7, normalized size = 0.64 \[ \frac {2}{3} \, {\left (x + 1\right )}^{\frac {3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.42, size = 7, normalized size = 0.64 \[ \frac {2\,{\left (x+1\right )}^{3/2}}{3} \]
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 \[ \frac {2 \left (x + 1\right )^{\frac {3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
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