Optimal. Leaf size=15 \[ 2+e^3+x+x^3 \left (x+x^2\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.53, number of steps used = 1, number of rules used = 0, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x^5+x^4+x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x+x^4+x^5\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 0.53 \begin {gather*} x+x^4+x^5 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.55, size = 8, normalized size = 0.53 \begin {gather*} x^{5} + x^{4} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.22, size = 8, normalized size = 0.53 \begin {gather*} x^{5} + x^{4} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.60
method | result | size |
gosper | \(x^{5}+x^{4}+x\) | \(9\) |
default | \(x^{5}+x^{4}+x\) | \(9\) |
norman | \(x^{5}+x^{4}+x\) | \(9\) |
risch | \(x^{5}+x^{4}+x\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 8, normalized size = 0.53 \begin {gather*} x^{5} + x^{4} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 8, normalized size = 0.53 \begin {gather*} x^5+x^4+x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 7, normalized size = 0.47 \begin {gather*} x^{5} + x^{4} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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