Optimal. Leaf size=12 \[ c x+\frac{d x^2}{2} \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00747544, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ c x+\frac{d x^2}{2} \]
Antiderivative was successfully verified.
[In] Int[c + d*x,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ d \int x\, dx + \int c\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(d*x+c,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.000056637, size = 12, normalized size = 1. \[ c x+\frac{d x^2}{2} \]
Antiderivative was successfully verified.
[In] Integrate[c + d*x,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0., size = 11, normalized size = 0.9 \[ cx+{\frac{d{x}^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(d*x+c,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.34011, size = 14, normalized size = 1.17 \[ \frac{1}{2} \, d x^{2} + c x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(d*x + c,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.174211, size = 1, normalized size = 0.08 \[ \frac{1}{2} x^{2} d + x c \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(d*x + c,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.052889, size = 8, normalized size = 0.67 \[ c x + \frac{d x^{2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(d*x+c,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.218852, size = 14, normalized size = 1.17 \[ \frac{1}{2} \, d x^{2} + c x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(d*x + c,x, algorithm="giac")
[Out]