Optimal. Leaf size=10 \[ \left (-5+x^3\right ) (x+\log (4)) \]
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Rubi [A]
time = 0.00, antiderivative size = 13, normalized size of antiderivative = 1.30, number of steps
used = 1, number of rules used = 0, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} x^4+x^3 \log (4)-5 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-5 x+x^4+x^3 \log (4)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 13, normalized size = 1.30 \begin {gather*} -5 x+x^4+x^3 \log (4) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.07, size = 15, normalized size = 1.50
method | result | size |
gosper | \(x^{4}+2 x^{3} \ln \left (2\right )-5 x\) | \(15\) |
default | \(x^{4}+2 x^{3} \ln \left (2\right )-5 x\) | \(15\) |
norman | \(x^{4}+2 x^{3} \ln \left (2\right )-5 x\) | \(15\) |
risch | \(x^{4}+2 x^{3} \ln \left (2\right )-5 x\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 14, normalized size = 1.40 \begin {gather*} x^{4} + 2 \, x^{3} \log \left (2\right ) - 5 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.31, size = 14, normalized size = 1.40 \begin {gather*} x^{4} + 2 \, x^{3} \log \left (2\right ) - 5 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 14, normalized size = 1.40 \begin {gather*} x^{4} + 2 x^{3} \log {\left (2 \right )} - 5 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 14, normalized size = 1.40 \begin {gather*} x^{4} + 2 \, x^{3} \log \left (2\right ) - 5 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.03, size = 14, normalized size = 1.40 \begin {gather*} x^4+2\,\ln \left (2\right )\,x^3-5\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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