Optimal. Leaf size=15 \[ e^x (2 x+3)-2 e^x \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.0151646, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ e^x (2 x+3)-2 e^x \]
Antiderivative was successfully verified.
[In] Int[E^x*(3 + 2*x),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.3574, size = 12, normalized size = 0.8 \[ \left (2 x + 3\right ) e^{x} - 2 e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x)*(3+2*x),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00281233, size = 9, normalized size = 0.6 \[ e^x (2 x+1) \]
Antiderivative was successfully verified.
[In] Integrate[E^x*(3 + 2*x),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.002, size = 9, normalized size = 0.6 \[ \left ( 1+2\,x \right ){{\rm e}^{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x)*(3+2*x),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.34867, size = 16, normalized size = 1.07 \[ 2 \,{\left (x - 1\right )} e^{x} + 3 \, e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)*e^x,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.21919, size = 11, normalized size = 0.73 \[{\left (2 \, x + 1\right )} e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)*e^x,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.064496, size = 7, normalized size = 0.47 \[ \left (2 x + 1\right ) e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x)*(3+2*x),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.201512, size = 11, normalized size = 0.73 \[{\left (2 \, x + 1\right )} e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2*x + 3)*e^x,x, algorithm="giac")
[Out]