3.70.76 \(\int (242 x-22 \log (5)) \, dx\)

Optimal. Leaf size=10 \[ (11 x-\log (5))^2 \]

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Rubi [A]  time = 0.00, antiderivative size = 11, normalized size of antiderivative = 1.10, number of steps used = 1, number of rules used = 0, integrand size = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 121 x^2-22 x \log (5) \end {gather*}

Antiderivative was successfully verified.

[In]

Int[242*x - 22*Log[5],x]

[Out]

121*x^2 - 22*x*Log[5]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=121 x^2-22 x \log (5)\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 11, normalized size = 1.10 \begin {gather*} 121 x^2-22 x \log (5) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[242*x - 22*Log[5],x]

[Out]

121*x^2 - 22*x*Log[5]

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fricas [A]  time = 0.69, size = 11, normalized size = 1.10 \begin {gather*} 121 \, x^{2} - 22 \, x \log \relax (5) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-22*log(5)+242*x,x, algorithm="fricas")

[Out]

121*x^2 - 22*x*log(5)

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giac [A]  time = 0.15, size = 11, normalized size = 1.10 \begin {gather*} 121 \, x^{2} - 22 \, x \log \relax (5) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-22*log(5)+242*x,x, algorithm="giac")

[Out]

121*x^2 - 22*x*log(5)

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maple [A]  time = 0.01, size = 12, normalized size = 1.20

method	result	size
gosper	\(-11 x \left (-11 x +2 \ln \relax (5)\right )\)	\(12\)
default	\(-22 x \ln \relax (5)+121 x^{2}\)	\(12\)
norman	\(-22 x \ln \relax (5)+121 x^{2}\)	\(12\)
risch	\(-22 x \ln \relax (5)+121 x^{2}\)	\(12\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-22*ln(5)+242*x,x,method=_RETURNVERBOSE)

[Out]

-11*x*(-11*x+2*ln(5))

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maxima [A]  time = 0.46, size = 11, normalized size = 1.10 \begin {gather*} 121 \, x^{2} - 22 \, x \log \relax (5) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-22*log(5)+242*x,x, algorithm="maxima")

[Out]

121*x^2 - 22*x*log(5)

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mupad [B]  time = 0.04, size = 11, normalized size = 1.10 \begin {gather*} 11\,x\,\left (11\,x-\ln \left (25\right )\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(242*x - 22*log(5),x)

[Out]

11*x*(11*x - log(25))

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sympy [A]  time = 0.05, size = 10, normalized size = 1.00 \begin {gather*} 121 x^{2} - 22 x \log {\relax (5 )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-22*ln(5)+242*x,x)

[Out]

121*x**2 - 22*x*log(5)

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