Optimal. Leaf size=16 \[ 2-\frac {16}{e^8}-e^5+x+x^2 \]
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Rubi [A] time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.31, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x^2+x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x+x^2\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 5, normalized size = 0.31 \begin {gather*} x+x^2 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.58, size = 5, normalized size = 0.31 \begin {gather*} x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 5, normalized size = 0.31 \begin {gather*} x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 6, normalized size = 0.38
method | result | size |
gosper | \(x^{2}+x\) | \(6\) |
default | \(x^{2}+x\) | \(6\) |
norman | \(x^{2}+x\) | \(6\) |
risch | \(x^{2}+x\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.39, size = 5, normalized size = 0.31 \begin {gather*} x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 5, normalized size = 0.31 \begin {gather*} x\,\left (x+1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 3, normalized size = 0.19 \begin {gather*} x^{2} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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