3.91.54 \(\int (5+2 x) \, dx\)

Optimal. Leaf size=15 \[ 5 x+x^2+\left (-1+\log ^2(9)\right )^2 \]

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Rubi [A]  time = 0.00, antiderivative size = 7, normalized size of antiderivative = 0.47, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} x^2+5 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[5 + 2*x,x]

[Out]

5*x + x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=5 x+x^2\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 7, normalized size = 0.47 \begin {gather*} 5 x+x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[5 + 2*x,x]

[Out]

5*x + x^2

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fricas [A]  time = 0.41, size = 7, normalized size = 0.47 \begin {gather*} x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x^2 + 5*x

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giac [A]  time = 0.14, size = 7, normalized size = 0.47 \begin {gather*} x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(5+2*x,x, algorithm="giac")

[Out]

x^2 + 5*x

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maple [A]  time = 0.01, size = 8, normalized size = 0.53

method	result	size
gosper	\(x^{2}+5 x\)	\(8\)
default	\(x^{2}+5 x\)	\(8\)
norman	\(x^{2}+5 x\)	\(8\)
risch	\(x^{2}+5 x\)	\(8\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x^2+5*x

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maxima [A]  time = 0.35, size = 7, normalized size = 0.47 \begin {gather*} x^{2} + 5 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

x^2 + 5*x

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mupad [B]  time = 0.06, size = 5, normalized size = 0.33 \begin {gather*} x\,\left (x+5\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(2*x + 5,x)

[Out]

x*(x + 5)

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sympy [A]  time = 0.05, size = 5, normalized size = 0.33 \begin {gather*} x^{2} + 5 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(5+2*x,x)

[Out]

x**2 + 5*x

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