Optimal. Leaf size=17 \[ \text{Int}\left (f\left (\frac{x^4}{\left (a+b x^2\right )^2}\right ),x\right ) \]
[Out]
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Rubi [A] time = 0.0174068, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \text{Int}\left (f\left (\frac{x^4}{\left (a+b x^2\right )^2}\right ),x\right ) \]
Verification is Not applicable to the result.
[In] Int[f[x^4/(a + b*x^2)^2],x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{4}}{\left (a + b x^{2}\right )^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(F(x**4/(b*x**2+a)**2),x)
[Out]
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Mathematica [A] time = 0.0121437, size = 0, normalized size = 0. \[ \int f\left (\frac{x^4}{\left (a+b x^2\right )^2}\right ) \, dx \]
Verification is Not applicable to the result.
[In] Integrate[f[x^4/(a + b*x^2)^2],x]
[Out]
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Maple [A] time = 0., size = 0, normalized size = 0. \[ \int f \left ({\frac{{x}^{4}}{ \left ( b{x}^{2}+a \right ) ^{2}}} \right ) \, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(f(x^4/(b*x^2+a)^2),x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{4}}{{\left (b x^{2} + a\right )}^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^4/(b*x^2 + a)^2),x, algorithm="maxima")
[Out]
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Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \[ \text{Exception raised: TypeError} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^4/(b*x^2 + a)^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{4}}{\left (a + b x^{2}\right )^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x**4/(b*x**2+a)**2),x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{4}}{{\left (b x^{2} + a\right )}^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^4/(b*x^2 + a)^2),x, algorithm="giac")
[Out]