3.41.29 $\int (10+2e^6+2x)dx$

Optimal. Leaf size=8 $${(5+e^6+x)}^2$$

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Rubi [A]  time = 0.00, antiderivative size = 12, normalized size of antiderivative = 1.50, 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 = {} $$\begin{array}{c}{x}^2+2(5+e^6)x\end{array}$$

Antiderivative was successfully verified.

[In]

Int[10 + 2*E^6 + 2*x,x]

[Out]

2*(5 + E^6)*x + x^2

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =2(5+e^6)x+x^2\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 13, normalized size = 1.62 $$\begin{array}{c}10x+2e^{6}x+x^2\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[10 + 2*E^6 + 2*x,x]

[Out]

10*x + 2*E^6*x + x^2

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fricas [A]  time = 0.97, size = 12, normalized size = 1.50 $$\begin{array}{c}{x}^2+2x{e}^6+10x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(6)+2*x+10,x, algorithm="fricas")

[Out]

x^2 + 2*x*e^6 + 10*x

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giac [A]  time = 0.18, size = 12, normalized size = 1.50 $$\begin{array}{c}{x}^2+2x{e}^6+10x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(6)+2*x+10,x, algorithm="giac")

[Out]

x^2 + 2*x*e^6 + 10*x

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maple [A]  time = 0.02, size = 10, normalized size = 1.25

method	result	size
gosper	$x(x+2{\mathrm{e}}^6+10)$	$10$
default	$2x{\mathrm{e}}^6+x^2+10x$	$13$
norman	$x^2+(2{\mathrm{e}}^6+10)x$	$13$
risch	$2x{\mathrm{e}}^6+x^2+10x$	$13$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*exp(6)+2*x+10,x,method=_RETURNVERBOSE)

[Out]

x*(x+2*exp(6)+10)

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maxima [A]  time = 0.35, size = 12, normalized size = 1.50 $$\begin{array}{c}{x}^2+2x{e}^6+10x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(6)+2*x+10,x, algorithm="maxima")

[Out]

x^2 + 2*x*e^6 + 10*x

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mupad [B]  time = 2.96, size = 9, normalized size = 1.12 $$\begin{array}{c}x(x+2{\mathrm{e}}^6+10)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*x + 2*exp(6) + 10,x)

[Out]

x*(x + 2*exp(6) + 10)

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sympy [A]  time = 0.05, size = 10, normalized size = 1.25 $$\begin{array}{c}{x}^2+x(10+2e^6)\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(2*exp(6)+2*x+10,x)

[Out]

x**2 + x*(10 + 2*exp(6))

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