3.33.59 $\int (-1+e^{e^4}-8x)dx$

Optimal. Leaf size=24 $$3+e^4-x+e^{e^4}x-4x^2-\log (4)$$

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Rubi [A]  time = 0.01, antiderivative size = 18, normalized size of antiderivative = 0.75, number of steps used = 1, number of rules used = 0, integrand size = 10, $\frac{\text{number of rules}}{\text{integrand size}}$ = 0.000, Rules used = {} $$\begin{array}{c}-4x^2-(1-e^{e^4})x\end{array}$$

Antiderivative was successfully verified.

[In]

Int[-1 + E^E^4 - 8*x,x]

[Out]

-((1 - E^E^4)*x) - 4*x^2

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =-\left((1-e^{e^4})x\right)-4x^2\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 16, normalized size = 0.67 $$\begin{array}{c}-x+e^{e^4}x-4x^2\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[-1 + E^E^4 - 8*x,x]

[Out]

-x + E^E^4*x - 4*x^2

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fricas [A]  time = 0.58, size = 14, normalized size = 0.58 $$\begin{array}{c}-4x^2+x{e}^{\left(e^4\right)}-x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(4))-8*x-1,x, algorithm="fricas")

[Out]

-4*x^2 + x*e^(e^4) - x

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giac [A]  time = 0.50, size = 14, normalized size = 0.58 $$\begin{array}{c}-4x^2+x{e}^{\left(e^4\right)}-x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(4))-8*x-1,x, algorithm="giac")

[Out]

-4*x^2 + x*e^(e^4) - x

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maple [A]  time = 0.02, size = 14, normalized size = 0.58

method	result	size
norman	$-4x^2+({\mathrm{e}}^{{\mathrm{e}}^4}-1)x$	$14$
gosper	$x{\mathrm{e}}^{{\mathrm{e}}^4}-4x^2-x$	$15$
default	$x{\mathrm{e}}^{{\mathrm{e}}^4}-4x^2-x$	$15$
risch	$x{\mathrm{e}}^{{\mathrm{e}}^4}-4x^2-x$	$15$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(exp(4))-8*x-1,x,method=_RETURNVERBOSE)

[Out]

-4*x^2+(exp(exp(4))-1)*x

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maxima [A]  time = 0.35, size = 14, normalized size = 0.58 $$\begin{array}{c}-4x^2+x{e}^{\left(e^4\right)}-x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(4))-8*x-1,x, algorithm="maxima")

[Out]

-4*x^2 + x*e^(e^4) - x

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mupad [B]  time = 0.04, size = 13, normalized size = 0.54 $$\begin{array}{c}x({\mathrm{e}}^{{\mathrm{e}}^4}-1)-4x^2\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(exp(4)) - 8*x - 1,x)

[Out]

x*(exp(exp(4)) - 1) - 4*x^2

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sympy [A]  time = 0.06, size = 12, normalized size = 0.50 $$\begin{array}{c}-4x^2+x(-1+e^{e^4})\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(exp(4))-8*x-1,x)

[Out]

-4*x**2 + x*(-1 + exp(exp(4)))

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