Optimal. Leaf size=4 \[ \log (t+1) \]
[Out]
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Rubi [A] time = 0.00291505, antiderivative size = 4, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ \log (t+1) \]
Antiderivative was successfully verified.
[In] Int[(1 + t)^(-1),t]
[Out]
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Rubi in Sympy [A] time = 0.461584, size = 3, normalized size = 0.75 \[ \log{\left (t + 1 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(1+t),t)
[Out]
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Mathematica [A] time = 0.000867474, size = 4, normalized size = 1. \[ \log (t+1) \]
Antiderivative was successfully verified.
[In] Integrate[(1 + t)^(-1),t]
[Out]
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Maple [A] time = 0.002, size = 5, normalized size = 1.3 \[ \ln \left ( 1+t \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(1+t),t)
[Out]
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Maxima [A] time = 1.62359, size = 5, normalized size = 1.25 \[ \log \left (t + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(t + 1),t, algorithm="maxima")
[Out]
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Fricas [A] time = 0.191291, size = 5, normalized size = 1.25 \[ \log \left (t + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(t + 1),t, algorithm="fricas")
[Out]
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Sympy [A] time = 0.026006, size = 3, normalized size = 0.75 \[ \log{\left (t + 1 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(1+t),t)
[Out]
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GIAC/XCAS [A] time = 0.216236, size = 7, normalized size = 1.75 \[{\rm ln}\left ({\left | t + 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(t + 1),t, algorithm="giac")
[Out]