Optimal. Leaf size=9 \[ 2 \sqrt {x+1} \]
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Rubi [A] time = 0.00, antiderivative size = 9, 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} \[ 2 \sqrt {x+1} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin {align*} \int \frac {1}{\sqrt {1+x}} \, dx &=2 \sqrt {1+x}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ 2 \sqrt {x+1} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 7, normalized size = 0.78 \[ 2 \, \sqrt {x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.34, size = 7, normalized size = 0.78 \[ 2 \, \sqrt {x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 8, normalized size = 0.89 \[ 2 \sqrt {x +1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.88, size = 7, normalized size = 0.78 \[ 2 \, \sqrt {x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.09, size = 7, normalized size = 0.78 \[ 2\,\sqrt {x+1} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.78 \[ 2 \sqrt {x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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