Optimal. Leaf size=11 \[ x-\frac {4 x^{5/4}}{5} \]
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Rubi [A] time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.053, Rules used = {26} \begin {gather*} x-\frac {4 x^{5/4}}{5} \end {gather*}
Antiderivative was successfully verified.
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Rule 26
Rubi steps
\begin {align*} \int \frac {1-\sqrt {x}}{1+\sqrt [4]{x}} \, dx &=\int \left (1-\sqrt [4]{x}\right ) \, dx\\ &=x-\frac {4 x^{5/4}}{5}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 1.00 \begin {gather*} x-\frac {4 x^{5/4}}{5} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.02, size = 15, normalized size = 1.36 \begin {gather*} \frac {1}{5} \left (5 x-4 x^{5/4}\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.35, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [C] time = 0.01, size = 44, normalized size = 4.00 \begin {gather*} -\frac {4 x^{\frac {5}{4}}}{5}+x -\ln \left (x -1\right )-\ln \left (\sqrt {x}-1\right )+\ln \left (\sqrt {x}+1\right )+2 \ln \left (x^{\frac {1}{4}}+1\right )+2 \ln \left (x^{\frac {1}{4}}-1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.61, size = 7, normalized size = 0.64 \begin {gather*} -\frac {4}{5} \, x^{\frac {5}{4}} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 7, normalized size = 0.64 \begin {gather*} x-\frac {4\,x^{5/4}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 4.36, size = 8, normalized size = 0.73 \begin {gather*} - \frac {4 x^{\frac {5}{4}}}{5} + x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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