Optimal. Leaf size=15 \[ \frac{\log \left (a+b x^7\right )}{7 b} \]
[Out]
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Rubi [A] time = 0.00889745, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ \frac{\log \left (a+b x^7\right )}{7 b} \]
Antiderivative was successfully verified.
[In] Int[x^6/(a + b*x^7),x]
[Out]
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Rubi in Sympy [A] time = 2.16659, size = 10, normalized size = 0.67 \[ \frac{\log{\left (a + b x^{7} \right )}}{7 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**6/(b*x**7+a),x)
[Out]
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Mathematica [A] time = 0.00494054, size = 15, normalized size = 1. \[ \frac{\log \left (a+b x^7\right )}{7 b} \]
Antiderivative was successfully verified.
[In] Integrate[x^6/(a + b*x^7),x]
[Out]
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Maple [A] time = 0.001, size = 14, normalized size = 0.9 \[{\frac{\ln \left ( b{x}^{7}+a \right ) }{7\,b}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^6/(b*x^7+a),x)
[Out]
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Maxima [A] time = 1.45968, size = 18, normalized size = 1.2 \[ \frac{\log \left (b x^{7} + a\right )}{7 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6/(b*x^7 + a),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.216613, size = 18, normalized size = 1.2 \[ \frac{\log \left (b x^{7} + a\right )}{7 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6/(b*x^7 + a),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.553439, size = 10, normalized size = 0.67 \[ \frac{\log{\left (a + b x^{7} \right )}}{7 b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**6/(b*x**7+a),x)
[Out]
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GIAC/XCAS [A] time = 0.221277, size = 19, normalized size = 1.27 \[ \frac{{\rm ln}\left ({\left | b x^{7} + a \right |}\right )}{7 \, b} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^6/(b*x^7 + a),x, algorithm="giac")
[Out]