3.60.75 \(\int 3 e^{6565+e^5} \, dx\)

Optimal. Leaf size=10 \[ 3 e^{6565+e^5} x \]

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Rubi [A]  time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {8} \begin {gather*} 3 e^{6565+e^5} x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[3*E^(6565 + E^5),x]

[Out]

3*E^(6565 + E^5)*x

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=3 e^{6565+e^5} x\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 10, normalized size = 1.00 \begin {gather*} 3 e^{6565+e^5} x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[3*E^(6565 + E^5),x]

[Out]

3*E^(6565 + E^5)*x

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fricas [A]  time = 0.70, size = 8, normalized size = 0.80 \begin {gather*} 3 \, x e^{\left (e^{5} + 6565\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*exp(4)*exp(exp(5)+6561),x, algorithm="fricas")

[Out]

3*x*e^(e^5 + 6565)

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giac [A]  time = 0.12, size = 8, normalized size = 0.80 \begin {gather*} 3 \, x e^{\left (e^{5} + 6565\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*exp(4)*exp(exp(5)+6561),x, algorithm="giac")

[Out]

3*x*e^(e^5 + 6565)

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maple [A]  time = 0.02, size = 9, normalized size = 0.90

method	result	size
risch	\(3 x \,{\mathrm e}^{6565+{\mathrm e}^{5}}\)	\(9\)
default	\(3 \,{\mathrm e}^{{\mathrm e}^{5}+6561} {\mathrm e}^{4} x\)	\(11\)
norman	\(3 \,{\mathrm e}^{4} {\mathrm e}^{{\mathrm e}^{5}} {\mathrm e}^{6561} x\)	\(11\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*exp(4)*exp(exp(5)+6561),x,method=_RETURNVERBOSE)

[Out]

3*x*exp(6565+exp(5))

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maxima [A]  time = 0.34, size = 8, normalized size = 0.80 \begin {gather*} 3 \, x e^{\left (e^{5} + 6565\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*exp(4)*exp(exp(5)+6561),x, algorithm="maxima")

[Out]

3*x*e^(e^5 + 6565)

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mupad [B]  time = 0.00, size = 10, normalized size = 1.00 \begin {gather*} 3\,x\,{\mathrm {e}}^{{\mathrm {e}}^5+6561}\,{\mathrm {e}}^4 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*exp(exp(5) + 6561)*exp(4),x)

[Out]

3*x*exp(exp(5) + 6561)*exp(4)

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sympy [A]  time = 0.05, size = 12, normalized size = 1.20 \begin {gather*} 3 x e^{4} e^{e^{5} + 6561} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*exp(4)*exp(exp(5)+6561),x)

[Out]

3*x*exp(4)*exp(exp(5) + 6561)

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