Optimal. Leaf size=11 \[ \frac {e^{x^2+1}}{2} \]
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Rubi [A] time = 0.01, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {2209} \[ \frac {e^{x^2+1}}{2} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin {align*} \int e^{1+x^2} x \, dx &=\frac {e^{1+x^2}}{2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \[ \frac {e^{x^2+1}}{2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.39, size = 8, normalized size = 0.73 \[ \frac {1}{2} \, e^{\left (x^{2} + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.19, size = 8, normalized size = 0.73 \[ \frac {1}{2} \, e^{\left (x^{2} + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 0.82 \[ \frac {{\mathrm e}^{x^{2}+1}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.91, size = 8, normalized size = 0.73 \[ \frac {1}{2} \, e^{\left (x^{2} + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 8, normalized size = 0.73 \[ \frac {{\mathrm {e}}^{x^2}\,\mathrm {e}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.64 \[ \frac {e^{x^{2} + 1}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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