Optimal. Leaf size=15 \[ \frac {8}{5}-\sqrt [5]{5}+e+x^2 \]
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Rubi [A] time = 0.00, antiderivative size = 3, normalized size of antiderivative = 0.20, number of steps used = 2, number of rules used = 2, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.667, Rules used = {12, 30} \begin {gather*} x^2 \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 \int x \, dx\\ &=x^2\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 3, normalized size = 0.20 \begin {gather*} x^2 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.53, size = 3, normalized size = 0.20 \begin {gather*} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.13, size = 3, normalized size = 0.20 \begin {gather*} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 4, normalized size = 0.27
method | result | size |
gosper | \(x^{2}\) | \(4\) |
default | \(x^{2}\) | \(4\) |
norman | \(x^{2}\) | \(4\) |
risch | \(x^{2}\) | \(4\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 3, normalized size = 0.20 \begin {gather*} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 3, normalized size = 0.20 \begin {gather*} x^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.01, size = 2, normalized size = 0.13 \begin {gather*} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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