3.85.70 $\int (-108+12e^{16})dx$

Optimal. Leaf size=16 $$-24(4+\frac{1}{2}(1-e^{16}))x$$

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Rubi [A]  time = 0.00, antiderivative size = 10, 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} $$\begin{array}{c}-12(9-e^{16})x\end{array}$$

Antiderivative was successfully verified.

[In]

Int[-108 + 12*E^16,x]

[Out]

-12*(9 - E^16)*x

Rule 8

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

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =-12(9-e^{16})x\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 10, normalized size = 0.62 $$\begin{array}{c}-108x+12e^{16}x\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[-108 + 12*E^16,x]

[Out]

-108*x + 12*E^16*x

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fricas [A]  time = 0.65, size = 9, normalized size = 0.56 $$\begin{array}{c}12x{e}^{16}-108x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*exp(16)-108,x, algorithm="fricas")

[Out]

12*x*e^16 - 108*x

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giac [A]  time = 0.24, size = 7, normalized size = 0.44 $$\begin{array}{c}12x(e^{16}-9)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*exp(16)-108,x, algorithm="giac")

[Out]

12*x*(e^16 - 9)

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maple [A]  time = 0.01, size = 9, normalized size = 0.56

method	result	size
default	$(12{\mathrm{e}}^{16}-108)x$	$9$
norman	$(12{\mathrm{e}}^{16}-108)x$	$9$
risch	$12x{\mathrm{e}}^{16}-108x$	$10$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(12*exp(16)-108,x,method=_RETURNVERBOSE)

[Out]

(12*exp(16)-108)*x

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maxima [A]  time = 0.41, size = 7, normalized size = 0.44 $$\begin{array}{c}12x(e^{16}-9)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*exp(16)-108,x, algorithm="maxima")

[Out]

12*x*(e^16 - 9)

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mupad [B]  time = 0.00, size = 8, normalized size = 0.50 $$\begin{array}{c}x(12{\mathrm{e}}^{16}-108)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(12*exp(16) - 108,x)

[Out]

x*(12*exp(16) - 108)

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sympy [A]  time = 0.04, size = 7, normalized size = 0.44 $$\begin{array}{c}x(-108+12e^{16})\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(12*exp(16)-108,x)

[Out]

x*(-108 + 12*exp(16))

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