Optimal. Leaf size=11 \[ e^{x^x} \left (x^x-1\right ) \]
[Out]
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Rubi [F] time = 0.212078, 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. \[ \text{Int}\left (e^{x^x} x^{2 x} (1+\log (x)),x\right ) \]
Verification is Not applicable to the result.
[In] Int[E^x^x*x^(2*x)*(1 + Log[x]),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ \int x^{2 x} \left (\log{\left (x \right )} + 1\right ) e^{x^{x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x**x)*x**(2*x)*(1+ln(x)),x)
[Out]
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Mathematica [A] time = 0.0110554, size = 11, normalized size = 1. \[ e^{x^x} \left (x^x-1\right ) \]
Antiderivative was successfully verified.
[In] Integrate[E^x^x*x^(2*x)*(1 + Log[x]),x]
[Out]
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Maple [B] time = 0.027, size = 22, normalized size = 2. \[{{\rm e}^{\ln \left ( x \right ) x}}{{\rm e}^{{{\rm e}^{\ln \left ( x \right ) x}}}}-{{\rm e}^{{{\rm e}^{\ln \left ( x \right ) x}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x^x)*x^(2*x)*(1+ln(x)),x)
[Out]
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Maxima [A] time = 0.915001, size = 14, normalized size = 1.27 \[{\left (x^{x} - 1\right )} e^{\left (x^{x}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(2*x)*(log(x) + 1)*e^(x^x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.247699, size = 14, normalized size = 1.27 \[{\left (x^{x} - 1\right )} e^{\left (x^{x}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(2*x)*(log(x) + 1)*e^(x^x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.822321, size = 8, normalized size = 0.73 \[ \left (x^{x} - 1\right ) e^{x^{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x**x)*x**(2*x)*(1+ln(x)),x)
[Out]
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GIAC/XCAS [F] time = 0., size = 0, normalized size = 0. \[ \int x^{2 \, x}{\left (\log \left (x\right ) + 1\right )} e^{\left (x^{x}\right )}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^(2*x)*(log(x) + 1)*e^(x^x),x, algorithm="giac")
[Out]