Optimal. Leaf size=1 \[ x \]
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Rubi [A] time = 0.00, antiderivative size = 1, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (x+\frac {1-x^2}{1+x}\right ) \, dx &=x\\ \end {align*}
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Mathematica [A] time = 0.00, size = 1, normalized size = 1.00 \begin {gather*} x \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [B] time = 0.03, size = 19, normalized size = 19.00 \begin {gather*} \frac {x^2}{2}-\frac {1}{2} (1-x)^2 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.78, size = 1, normalized size = 1.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 1, normalized size = 1.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 2, normalized size = 2.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.46, size = 1, normalized size = 1.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 1, normalized size = 1.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 0, normalized size = 0.00 \begin {gather*} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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