3.26.40 \(\int -\frac {19 e^{16}}{25} \, dx\)

Optimal. Leaf size=13 \[ -\frac {19}{25} \left (-7+e^{16} (1+x)\right ) \]

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Rubi [A]  time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.62, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} -\frac {19 e^{16} x}{25} \end {gather*}

Antiderivative was successfully verified.

[In]

Int[(-19*E^16)/25,x]

[Out]

(-19*E^16*x)/25

Rule 8

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

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=-\frac {19 e^{16} x}{25}\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 8, normalized size = 0.62 \begin {gather*} -\frac {19 e^{16} x}{25} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(-19*E^16)/25,x]

[Out]

(-19*E^16*x)/25

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fricas [A]  time = 0.60, size = 5, normalized size = 0.38 \begin {gather*} -\frac {19}{25} \, x e^{16} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-19/25*exp(16),x, algorithm="fricas")

[Out]

-19/25*x*e^16

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giac [A]  time = 0.20, size = 5, normalized size = 0.38 \begin {gather*} -\frac {19}{25} \, x e^{16} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-19/25*exp(16),x, algorithm="giac")

[Out]

-19/25*x*e^16

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maple [A]  time = 0.01, size = 6, normalized size = 0.46

method	result	size
default	\(-\frac {19 x \,{\mathrm e}^{16}}{25}\)	\(6\)
norman	\(-\frac {19 x \,{\mathrm e}^{16}}{25}\)	\(6\)
risch	\(-\frac {19 x \,{\mathrm e}^{16}}{25}\)	\(6\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-19/25*exp(16),x,method=_RETURNVERBOSE)

[Out]

-19/25*x*exp(16)

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maxima [A]  time = 0.41, size = 5, normalized size = 0.38 \begin {gather*} -\frac {19}{25} \, x e^{16} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-19/25*exp(16),x, algorithm="maxima")

[Out]

-19/25*x*e^16

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mupad [B]  time = 0.00, size = 5, normalized size = 0.38 \begin {gather*} -\frac {19\,x\,{\mathrm {e}}^{16}}{25} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-(19*exp(16))/25,x)

[Out]

-(19*x*exp(16))/25

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sympy [A]  time = 0.01, size = 8, normalized size = 0.62 \begin {gather*} - \frac {19 x e^{16}}{25} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-19/25*exp(16),x)

[Out]

-19*x*exp(16)/25

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