3.22.74 \(\int \frac {-5-6 x^2-2 x^3-x^4+(5-5 x-x^2-x^3) \log (\frac {x+x \log (\log (5))}{\log (\log (5))})}{25 x^2+5 x^4+(25 x+5 x^3) \log (\frac {x+x \log (\log (5))}{\log (\log (5))})} \, dx\)

Optimal. Leaf size=34 \[ \frac {1}{5} \left (-x+\log \left (\frac {20}{\left (\frac {5}{x}+x\right ) \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )}\right )\right ) \]

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Rubi [F]  time = 3.44, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \int \frac {-5-6 x^2-2 x^3-x^4+\left (5-5 x-x^2-x^3\right ) \log \left (\frac {x+x \log (\log (5))}{\log (\log (5))}\right )}{25 x^2+5 x^4+\left (25 x+5 x^3\right ) \log \left (\frac {x+x \log (\log (5))}{\log (\log (5))}\right )} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[(-5 - 6*x^2 - 2*x^3 - x^4 + (5 - 5*x - x^2 - x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]])/(25*x^2 + 5*x^4 +
(25*x + 5*x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]]),x]

[Out]

-1/5*x + Log[x]/5 - Log[5 + x^2]/5 - Defer[Int][(-x - Log[x*(1 + Log[Log[5]]^(-1))])^(-1), x]/5 - (2*Defer[Int
][(x + Log[x*(1 + Log[Log[5]]^(-1))])^(-1), x])/5 - Defer[Int][1/(x*(x + Log[x + x/Log[Log[5]]])), x]/5

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=\int \frac {-5-6 x^2-2 x^3-x^4+\left (5-5 x-x^2-x^3\right ) \log \left (\frac {x+x \log (\log (5))}{\log (\log (5))}\right )}{5 x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\\ &=\frac {1}{5} \int \frac {-5-6 x^2-2 x^3-x^4+\left (5-5 x-x^2-x^3\right ) \log \left (\frac {x+x \log (\log (5))}{\log (\log (5))}\right )}{x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\\ &=\frac {1}{5} \int \left (-\frac {5}{x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}-\frac {6 x}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}-\frac {2 x^2}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}-\frac {x^3}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}-\frac {\left (-5+5 x+x^2+x^3\right ) \log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}{x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx\\ &=-\left (\frac {1}{5} \int \frac {x^3}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\right )-\frac {1}{5} \int \frac {\left (-5+5 x+x^2+x^3\right ) \log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}{x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {2}{5} \int \frac {x^2}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {6}{5} \int \frac {x}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\int \frac {1}{x \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\\ &=-\left (\frac {1}{5} \int \left (\frac {x}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}-\frac {5 x}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx\right )-\frac {1}{5} \int \left (\frac {-5+5 x+x^2+x^3}{x \left (5+x^2\right )}+\frac {5-5 x-x^2-x^3}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx-\frac {2}{5} \int \left (\frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}-\frac {5}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx-\frac {6}{5} \int \left (-\frac {1}{2 \left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {1}{2 \left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx-\int \left (-\frac {x}{5 \left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {1}{5 x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )}\right ) \, dx\\ &=-\left (\frac {1}{5} \int \frac {-5+5 x+x^2+x^3}{x \left (5+x^2\right )} \, dx\right )-\frac {1}{5} \int \frac {x}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx+\frac {1}{5} \int \frac {x}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {1}{5} \int \frac {5-5 x-x^2-x^3}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )} \, dx-\frac {2}{5} \int \frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx+\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+2 \int \frac {1}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\int \frac {x}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\\ &=-\left (\frac {1}{5} \int \left (1-\frac {1}{x}+\frac {2 x}{5+x^2}\right ) \, dx\right )-\frac {1}{5} \int \frac {x}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx+\frac {1}{5} \int \left (-\frac {1}{2 \left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {1}{2 \left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx-\frac {1}{5} \int \left (\frac {1}{-x-\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}-\frac {x}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )}+\frac {10}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx-\frac {1}{5} \int \frac {1}{x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )} \, dx-\frac {2}{5} \int \frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx+\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+2 \int \left (\frac {i}{2 \sqrt {5} \left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {i}{2 \sqrt {5} \left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx+\int \left (-\frac {1}{2 \left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {1}{2 \left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx\\ &=-\frac {x}{5}+\frac {\log (x)}{5}-\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{-x-\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )} \, dx-\frac {2}{5} \int \frac {x}{5+x^2} \, dx-\frac {2}{5} \int \frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-2 \int \frac {1}{\left (5+x^2\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {i \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx}{\sqrt {5}}+\frac {i \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx}{\sqrt {5}}\\ &=-\frac {x}{5}+\frac {\log (x)}{5}-\frac {1}{5} \log \left (5+x^2\right )-\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{-x-\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )} \, dx-\frac {2}{5} \int \frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-2 \int \left (\frac {i}{2 \sqrt {5} \left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}+\frac {i}{2 \sqrt {5} \left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )}\right ) \, dx+\frac {i \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx}{\sqrt {5}}+\frac {i \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx}{\sqrt {5}}\\ &=-\frac {x}{5}+\frac {\log (x)}{5}-\frac {1}{5} \log \left (5+x^2\right )-\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{10} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{-x-\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{5} \int \frac {1}{x \left (x+\log \left (x+\frac {x}{\log (\log (5))}\right )\right )} \, dx-\frac {2}{5} \int \frac {1}{x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )} \, dx-\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {1}{2} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx+\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}-x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx-\frac {3}{5} \int \frac {1}{\left (i \sqrt {5}+x\right ) \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )} \, dx\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.14, size = 33, normalized size = 0.97 \begin {gather*} \frac {1}{5} \left (-x+\log (x)-\log \left (5+x^2\right )-\log \left (x+\log \left (x \left (1+\frac {1}{\log (\log (5))}\right )\right )\right )\right ) \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(-5 - 6*x^2 - 2*x^3 - x^4 + (5 - 5*x - x^2 - x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]])/(25*x^2 + 5*
x^4 + (25*x + 5*x^3)*Log[(x + x*Log[Log[5]])/Log[Log[5]]]),x]

[Out]

(-x + Log[x] - Log[5 + x^2] - Log[x + Log[x*(1 + Log[Log[5]]^(-1))]])/5

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fricas [A]  time = 0.51, size = 35, normalized size = 1.03 \begin {gather*} -\frac {1}{5} \, x - \frac {1}{5} \, \log \left (x^{2} + 5\right ) - \frac {1}{5} \, \log \left (x + \log \left (\frac {x \log \left (\log \relax (5)\right ) + x}{\log \left (\log \relax (5)\right )}\right )\right ) + \frac {1}{5} \, \log \relax (x) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-x^3-x^2-5*x+5)*log((x*log(log(5))+x)/log(log(5)))-x^4-2*x^3-6*x^2-5)/((5*x^3+25*x)*log((x*log(log
(5))+x)/log(log(5)))+5*x^4+25*x^2),x, algorithm="fricas")

[Out]

-1/5*x - 1/5*log(x^2 + 5) - 1/5*log(x + log((x*log(log(5)) + x)/log(log(5)))) + 1/5*log(x)

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giac [A]  time = 0.25, size = 35, normalized size = 1.03 \begin {gather*} -\frac {1}{5} \, x - \frac {1}{5} \, \log \left (x^{2} + 5\right ) - \frac {1}{5} \, \log \left (x + \log \left (x \log \left (\log \relax (5)\right ) + x\right ) - \log \left (\log \left (\log \relax (5)\right )\right )\right ) + \frac {1}{5} \, \log \relax (x) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-x^3-x^2-5*x+5)*log((x*log(log(5))+x)/log(log(5)))-x^4-2*x^3-6*x^2-5)/((5*x^3+25*x)*log((x*log(log
(5))+x)/log(log(5)))+5*x^4+25*x^2),x, algorithm="giac")

[Out]

-1/5*x - 1/5*log(x^2 + 5) - 1/5*log(x + log(x*log(log(5)) + x) - log(log(log(5)))) + 1/5*log(x)

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maple [A]  time = 0.16, size = 36, normalized size = 1.06

method	result	size
risch	\(-\frac {x}{5}+\frac {\ln \relax (x )}{5}-\frac {\ln \left (x^{2}+5\right )}{5}-\frac {\ln \left (x +\ln \left (\frac {x \ln \left (\ln \relax (5)\right )+x}{\ln \left (\ln \relax (5)\right )}\right )\right )}{5}\)	\(36\)
norman	\(\frac {\ln \left (\frac {x \ln \left (\ln \relax (5)\right )+x}{\ln \left (\ln \relax (5)\right )}\right )}{5}-\frac {x}{5}-\frac {\ln \left (x +\ln \left (\frac {x \ln \left (\ln \relax (5)\right )+x}{\ln \left (\ln \relax (5)\right )}\right )\right )}{5}-\frac {\ln \left (x^{2}+5\right )}{5}\)	\(48\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(((-x^3-x^2-5*x+5)*ln((x*ln(ln(5))+x)/ln(ln(5)))-x^4-2*x^3-6*x^2-5)/((5*x^3+25*x)*ln((x*ln(ln(5))+x)/ln(ln(
5)))+5*x^4+25*x^2),x,method=_RETURNVERBOSE)

[Out]

-1/5*x+1/5*ln(x)-1/5*ln(x^2+5)-1/5*ln(x+ln((x*ln(ln(5))+x)/ln(ln(5))))

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maxima [A]  time = 0.65, size = 35, normalized size = 1.03 \begin {gather*} -\frac {1}{5} \, x - \frac {1}{5} \, \log \left (x^{2} + 5\right ) - \frac {1}{5} \, \log \left (x + \log \relax (x) + \log \left (\log \left (\log \relax (5)\right ) + 1\right ) - \log \left (\log \left (\log \relax (5)\right )\right )\right ) + \frac {1}{5} \, \log \relax (x) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-x^3-x^2-5*x+5)*log((x*log(log(5))+x)/log(log(5)))-x^4-2*x^3-6*x^2-5)/((5*x^3+25*x)*log((x*log(log
(5))+x)/log(log(5)))+5*x^4+25*x^2),x, algorithm="maxima")

[Out]

-1/5*x - 1/5*log(x^2 + 5) - 1/5*log(x + log(x) + log(log(log(5)) + 1) - log(log(log(5)))) + 1/5*log(x)

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mupad [B]  time = 1.37, size = 35, normalized size = 1.03 \begin {gather*} \frac {\ln \relax (x)}{5}-\frac {\ln \left (x-\ln \left (\ln \left (\ln \relax (5)\right )\right )+\ln \left (\ln \left (\ln \relax (5)\right )+1\right )+\ln \relax (x)\right )}{5}-\frac {\ln \left (x^2+5\right )}{5}-\frac {x}{5} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-(log((x + x*log(log(5)))/log(log(5)))*(5*x + x^2 + x^3 - 5) + 6*x^2 + 2*x^3 + x^4 + 5)/(log((x + x*log(lo
g(5)))/log(log(5)))*(25*x + 5*x^3) + 25*x^2 + 5*x^4),x)

[Out]

log(x)/5 - log(x - log(log(log(5))) + log(log(log(5)) + 1) + log(x))/5 - log(x^2 + 5)/5 - x/5

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sympy [A]  time = 0.23, size = 36, normalized size = 1.06 \begin {gather*} - \frac {x}{5} + \frac {\log {\relax (x )}}{5} - \frac {\log {\left (x + \log {\left (\frac {x \log {\left (\log {\relax (5 )} \right )} + x}{\log {\left (\log {\relax (5 )} \right )}} \right )} \right )}}{5} - \frac {\log {\left (x^{2} + 5 \right )}}{5} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(((-x**3-x**2-5*x+5)*ln((x*ln(ln(5))+x)/ln(ln(5)))-x**4-2*x**3-6*x**2-5)/((5*x**3+25*x)*ln((x*ln(ln(5
))+x)/ln(ln(5)))+5*x**4+25*x**2),x)

[Out]

-x/5 + log(x)/5 - log(x + log((x*log(log(5)) + x)/log(log(5))))/5 - log(x**2 + 5)/5

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