Optimal. Leaf size=7 \[ -\frac {1}{3 x^3} \]
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Rubi [A] time = 0.00, antiderivative size = 7, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {30} \begin {gather*} -\frac {1}{3 x^3} \end {gather*}
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin {align*} \int \frac {1}{x^4} \, dx &=-\frac {1}{3 x^3}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} -\frac {1}{3 x^3} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {1}{x^4} \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.26, size = 5, normalized size = 0.71 \begin {gather*} -\frac {1}{3 \, x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.13, size = 5, normalized size = 0.71 \begin {gather*} -\frac {1}{3 \, x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 6, normalized size = 0.86 \begin {gather*} -\frac {1}{3 x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 5, normalized size = 0.71 \begin {gather*} -\frac {1}{3 \, x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 5, normalized size = 0.71 \begin {gather*} -\frac {1}{3\,x^3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 1.00 \begin {gather*} - \frac {1}{3 x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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