\(\int 2 e^6 \, dx\) [650]

Optimal result

Integrand size = 5, antiderivative size = 21 \[ \int 2 e^6 \, dx=-\frac {7}{3}+e^6 \left (2 x-2 \log \left (\log \left (2+e^2\right )\right )\right ) \]

[Out]

(2*x-2*ln(ln(exp(2)+2)))*exp(3)^2-7/3

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.29, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {8} \[ \int 2 e^6 \, dx=2 e^6 x \]

[In]

Int[2*E^6,x]

[Out]

2*E^6*x

Rule 8

Int[a_, x_Symbol] :> Simp[a*x, x] /; FreeQ[a, x]

Rubi steps \begin{align*} \text {integral}& = 2 e^6 x \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.29 \[ \int 2 e^6 \, dx=2 e^6 x \]

[In]

Integrate[2*E^6,x]

[Out]

2*E^6*x

Maple [A] (verified)

Time = 0.01 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.29

method	result	size
risch	\(2 x \,{\mathrm e}^{6}\)	\(6\)
default	\(2 x \,{\mathrm e}^{6}\)	\(8\)
norman	\(2 x \,{\mathrm e}^{6}\)	\(8\)
parallelrisch	\(2 x \,{\mathrm e}^{6}\)	\(8\)

[In]

int(2*exp(3)^2,x,method=_RETURNVERBOSE)

[Out]

2*x*exp(6)

Fricas [A] (verification not implemented)

none

Time = 0.22 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.24 \[ \int 2 e^6 \, dx=2 \, x e^{6} \]

[In]

integrate(2*exp(3)^2,x, algorithm="fricas")

[Out]

2*x*e^6

Sympy [A] (verification not implemented)

Time = 0.01 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.24 \[ \int 2 e^6 \, dx=2 x e^{6} \]

[In]

integrate(2*exp(3)**2,x)

[Out]

2*x*exp(6)

Maxima [A] (verification not implemented)

none

Time = 0.18 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.24 \[ \int 2 e^6 \, dx=2 \, x e^{6} \]

[In]

integrate(2*exp(3)^2,x, algorithm="maxima")

[Out]

2*x*e^6

Giac [A] (verification not implemented)

none

Time = 0.26 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.24 \[ \int 2 e^6 \, dx=2 \, x e^{6} \]

[In]

integrate(2*exp(3)^2,x, algorithm="giac")

[Out]

2*x*e^6

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.24 \[ \int 2 e^6 \, dx=2\,x\,{\mathrm {e}}^6 \]

[In]

int(2*exp(6),x)

[Out]

2*x*exp(6)