3.98.14 \(\int 225 \log ^2(4) \, dx\)

Optimal. Leaf size=7 \[ 225 x \log ^2(4) \]

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Rubi [A]  time = 0.00, antiderivative size = 7, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {8} \begin {gather*} 225 x \log ^2(4) \end {gather*}

Antiderivative was successfully verified.

[In]

Int[225*Log[4]^2,x]

[Out]

225*x*Log[4]^2

Rule 8

Int[a_, x_Symbol] :> Simp[a*x, x] /; FreeQ[a, x]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=225 x \log ^2(4)\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} 225 x \log ^2(4) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[225*Log[4]^2,x]

[Out]

225*x*Log[4]^2

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fricas [A]  time = 0.67, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \relax (2)^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(900*log(2)^2,x, algorithm="fricas")

[Out]

900*x*log(2)^2

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giac [A]  time = 0.19, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \relax (2)^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(900*log(2)^2,x, algorithm="giac")

[Out]

900*x*log(2)^2

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maple [A]  time = 0.01, size = 8, normalized size = 1.14

method	result	size
default	\(900 x \ln \relax (2)^{2}\)	\(8\)
norman	\(900 x \ln \relax (2)^{2}\)	\(8\)
risch	\(900 x \ln \relax (2)^{2}\)	\(8\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(900*ln(2)^2,x,method=_RETURNVERBOSE)

[Out]

900*x*ln(2)^2

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maxima [A]  time = 0.34, size = 7, normalized size = 1.00 \begin {gather*} 900 \, x \log \relax (2)^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(900*log(2)^2,x, algorithm="maxima")

[Out]

900*x*log(2)^2

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mupad [B]  time = 0.00, size = 7, normalized size = 1.00 \begin {gather*} 900\,x\,{\ln \relax (2)}^2 \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(900*log(2)^2,x)

[Out]

900*x*log(2)^2

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sympy [A]  time = 0.01, size = 7, normalized size = 1.00 \begin {gather*} 900 x \log {\relax (2 )}^{2} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(900*ln(2)**2,x)

[Out]

900*x*log(2)**2

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