Optimal. Leaf size=15 \[ \text{Int}\left (f\left (\frac{x^2}{(a+b x)^2}\right ),x\right ) \]
[Out]
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Rubi [A] time = 0.0164775, 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. \[ \text{Int}\left (f\left (\frac{x^2}{(a+b x)^2}\right ),x\right ) \]
Verification is Not applicable to the result.
[In] Int[f[x^2/(a + b*x)^2],x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{2}}{\left (a + b x\right )^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(F(x**2/(b*x+a)**2),x)
[Out]
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Mathematica [A] time = 0.0118247, size = 0, normalized size = 0. \[ \int f\left (\frac{x^2}{(a+b x)^2}\right ) \, dx \]
Verification is Not applicable to the result.
[In] Integrate[f[x^2/(a + b*x)^2],x]
[Out]
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Maple [A] time = 0.001, size = 0, normalized size = 0. \[ \int f \left ({\frac{{x}^{2}}{ \left ( bx+a \right ) ^{2}}} \right ) \, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(f(x^2/(b*x+a)^2),x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{2}}{{\left (b x + a\right )}^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^2/(b*x + 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^2/(b*x + a)^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int F{\left (\frac{x^{2}}{\left (a + b x\right )^{2}} \right )}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x**2/(b*x+a)**2),x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int F\left (\frac{x^{2}}{{\left (b x + a\right )}^{2}}\right )\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(F(x^2/(b*x + a)^2),x, algorithm="giac")
[Out]