Optimal. Leaf size=13 \[ b \log (x)-\frac{a}{4 x^4} \]
[Out]
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Rubi [A] time = 0.0137289, antiderivative size = 13, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ b \log (x)-\frac{a}{4 x^4} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x^4)/x^5,x]
[Out]
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Rubi in Sympy [A] time = 2.77397, size = 10, normalized size = 0.77 \[ - \frac{a}{4 x^{4}} + b \log{\left (x \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x**4+a)/x**5,x)
[Out]
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Mathematica [A] time = 0.0041345, size = 13, normalized size = 1. \[ b \log (x)-\frac{a}{4 x^4} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x^4)/x^5,x]
[Out]
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Maple [A] time = 0.007, size = 12, normalized size = 0.9 \[ -{\frac{a}{4\,{x}^{4}}}+b\ln \left ( x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x^4+a)/x^5,x)
[Out]
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Maxima [A] time = 1.44237, size = 19, normalized size = 1.46 \[ \frac{1}{4} \, b \log \left (x^{4}\right ) - \frac{a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^5,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.227814, size = 23, normalized size = 1.77 \[ \frac{4 \, b x^{4} \log \left (x\right ) - a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^5,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.09182, size = 10, normalized size = 0.77 \[ - \frac{a}{4 x^{4}} + b \log{\left (x \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x**4+a)/x**5,x)
[Out]
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GIAC/XCAS [A] time = 0.226415, size = 27, normalized size = 2.08 \[ \frac{1}{4} \, b{\rm ln}\left (x^{4}\right ) - \frac{b x^{4} + a}{4 \, x^{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x^4 + a)/x^5,x, algorithm="giac")
[Out]