3.16.80 \(\int (7+4 x) \, dx\)

Optimal. Leaf size=9 \[ 2 x^2+7 x \]

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Rubi [A]  time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, 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*} 2 x^2+7 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[7 + 4*x,x]

[Out]

7*x + 2*x^2

Rubi steps

\begin {align*} \int (7+4 x) \, dx &=7 x+2 x^2\\ \end {align*}

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Mathematica [A]  time = 0.00, size = 9, normalized size = 1.00 \begin {gather*} 2 x^2+7 x \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[7 + 4*x,x]

[Out]

7*x + 2*x^2

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IntegrateAlgebraic [F]  time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int (7+4 x) \, dx \end {gather*}

Verification is not applicable to the result.

[In]

IntegrateAlgebraic[7 + 4*x,x]

[Out]

IntegrateAlgebraic[7 + 4*x, x]

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fricas [A]  time = 0.97, size = 9, normalized size = 1.00 \begin {gather*} 2 x^{2} + 7 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x, algorithm="fricas")

[Out]

2*x^2 + 7*x

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giac [A]  time = 0.96, size = 9, normalized size = 1.00 \begin {gather*} 2 \, x^{2} + 7 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x, algorithm="giac")

[Out]

2*x^2 + 7*x

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maple [A]  time = 0.00, size = 10, normalized size = 1.11 \begin {gather*} 2 x^{2}+7 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(7+4*x,x)

[Out]

2*x^2+7*x

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maxima [A]  time = 1.01, size = 9, normalized size = 1.00 \begin {gather*} 2 \, x^{2} + 7 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x, algorithm="maxima")

[Out]

2*x^2 + 7*x

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mupad [B]  time = 0.03, size = 7, normalized size = 0.78 \begin {gather*} x\,\left (2\,x+7\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(4*x + 7,x)

[Out]

x*(2*x + 7)

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sympy [A]  time = 0.05, size = 7, normalized size = 0.78 \begin {gather*} 2 x^{2} + 7 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(7+4*x,x)

[Out]

2*x**2 + 7*x

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