3.67.43 $\int \frac{1}{e^7}dx$

Optimal. Leaf size=5 $$\frac{x}{e^7}$$

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Rubi [A]  time = 0.00, antiderivative size = 5, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 3, $\frac{\text{number of rules}}{\text{integrand size}}$ = 0.333, Rules used = {8} $$\begin{array}{c}\frac{x}{e^7}\end{array}$$

Antiderivative was successfully verified.

[In]

Int[E^(-7),x]

[Out]

x/E^7

Rule 8

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

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =\frac{x}{e^7}\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 5, normalized size = 1.00 $$\begin{array}{c}\frac{x}{e^7}\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[E^(-7),x]

[Out]

x/E^7

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fricas [A]  time = 0.55, size = 4, normalized size = 0.80 $$\begin{array}{c}x{e}^{(-7)}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(log(x)-7)/x,x, algorithm="fricas")

[Out]

x*e^(-7)

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giac [A]  time = 0.14, size = 4, normalized size = 0.80 $$\begin{array}{c}x{e}^{(-7)}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(log(x)-7)/x,x, algorithm="giac")

[Out]

x*e^(-7)

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maple [A]  time = 0.02, size = 5, normalized size = 1.00

method	result	size
risch	${\mathrm{e}}^{-7}x$	$5$
derivativedivides	${\mathrm{e}}^{\ln (x)-7}$	$6$
default	${\mathrm{e}}^{\ln (x)-7}$	$6$
norman	${\mathrm{e}}^{-7}x$	$7$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(ln(x)-7)/x,x,method=_RETURNVERBOSE)

[Out]

exp(-7)*x

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maxima [A]  time = 0.37, size = 4, normalized size = 0.80 $$\begin{array}{c}x{e}^{(-7)}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(log(x)-7)/x,x, algorithm="maxima")

[Out]

x*e^(-7)

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mupad [B]  time = 0.02, size = 4, normalized size = 0.80 $$\begin{array}{c}x{\mathrm{e}}^{-7}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(log(x) - 7)/x,x)

[Out]

x*exp(-7)

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sympy [A]  time = 0.05, size = 3, normalized size = 0.60 $$\begin{array}{c}\frac{x}{e^7}\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(ln(x)-7)/x,x)

[Out]

x*exp(-7)

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