3.41.85 $\int (2+3e^5{x}^2)dx$

Optimal. Leaf size=12 $$-5+2x+e^5{x}^3$$

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Rubi [A]  time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.92, 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 = {} $$\begin{array}{c}{e}^5{x}^3+2x\end{array}$$

Antiderivative was successfully verified.

[In]

Int[2 + 3*E^5*x^2,x]

[Out]

2*x + E^5*x^3

Rubi steps

$$\begin{array}{c}\begin{array}{rl}\text{integral}& =2x+e^5{x}^3\end{array}\end{array}$$

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Mathematica [A]  time = 0.00, size = 11, normalized size = 0.92 $$\begin{array}{c}2x+e^5{x}^3\end{array}$$

Antiderivative was successfully verified.

[In]

Integrate[2 + 3*E^5*x^2,x]

[Out]

2*x + E^5*x^3

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fricas [A]  time = 0.77, size = 10, normalized size = 0.83 $$\begin{array}{c}{x}^3{e}^5+2x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*x^2*exp(5)+2,x, algorithm="fricas")

[Out]

x^3*e^5 + 2*x

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giac [A]  time = 0.13, size = 10, normalized size = 0.83 $$\begin{array}{c}{x}^3{e}^5+2x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*x^2*exp(5)+2,x, algorithm="giac")

[Out]

x^3*e^5 + 2*x

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maple [A]  time = 0.02, size = 11, normalized size = 0.92

method	result	size
gosper	$x^3{\mathrm{e}}^5+2x$	$11$
default	$x^3{\mathrm{e}}^5+2x$	$11$
norman	$x^3{\mathrm{e}}^5+2x$	$11$
risch	$x^3{\mathrm{e}}^5+2x$	$11$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*x^2*exp(5)+2,x,method=_RETURNVERBOSE)

[Out]

x^3*exp(5)+2*x

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maxima [A]  time = 0.36, size = 10, normalized size = 0.83 $$\begin{array}{c}{x}^3{e}^5+2x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*x^2*exp(5)+2,x, algorithm="maxima")

[Out]

x^3*e^5 + 2*x

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mupad [B]  time = 0.02, size = 10, normalized size = 0.83 $$\begin{array}{c}{\mathrm{e}}^5{x}^3+2x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(3*x^2*exp(5) + 2,x)

[Out]

2*x + x^3*exp(5)

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sympy [A]  time = 0.05, size = 8, normalized size = 0.67 $$\begin{array}{c}{x}^3{e}^5+2x\end{array}$$

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(3*x**2*exp(5)+2,x)

[Out]

x**3*exp(5) + 2*x

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