Optimal. Leaf size=16 \[ e^x-\frac {x^{1+e}}{1+e} \]
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Rubi [A] time = 0.00, antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {2194} \[ e^x-\frac {x^{1+e}}{1+e} \]
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {align*} \int \left (e^x-x^e\right ) \, dx &=-\frac {x^{1+e}}{1+e}+\int e^x \, dx\\ &=e^x-\frac {x^{1+e}}{1+e}\\ \end {align*}
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Mathematica [A] time = 0.01, size = 16, normalized size = 1.00 \[ e^x-\frac {x^{1+e}}{1+e} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.39, size = 20, normalized size = 1.25 \[ -\frac {x x^{E} - {\left (E + 1\right )} e^{x}}{E + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 15, normalized size = 0.94 \[ -\frac {x^{E + 1}}{E + 1} + e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 16, normalized size = 1.00 \[ -\frac {x^{E +1}}{E +1}+{\mathrm e}^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.81, size = 15, normalized size = 0.94 \[ -\frac {x^{E + 1}}{E + 1} + e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.33, size = 16, normalized size = 1.00 \[ {\mathrm {e}}^x-\frac {x\,x^{\mathrm {e}}}{\mathrm {e}+1} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 14, normalized size = 0.88 \[ - \frac {x^{1 + e}}{1 + e} + e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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