Integrand size = 302, antiderivative size = 30 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=x \left (3-\log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (\frac {1}{3} (-3-x) x\right )\right )\right )\right ) \]
[Out]
\[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=\int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx \]
[In]
[Out]
Rubi steps \begin{align*} \text {integral}& = \int \left (-\frac {15}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )}-\frac {5 x}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}+\frac {\log (25+x) \left (-3-2 x+3 (3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}-\log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )\right ) \, dx \\ & = -\left (5 \int \frac {x}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx\right )-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+\int \frac {\log (25+x) \left (-3-2 x+3 (3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = -\left (5 \int \left (\frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}-\frac {25}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}\right ) \, dx\right )-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+\int \left (3+\frac {45 \log \left (-\frac {1}{3} x (3+x)\right )+15 x \log \left (-\frac {1}{3} x (3+x)\right )-3 \log (25+x)-2 x \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}\right ) \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = 3 x-5 \int \frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+125 \int \frac {1}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+\int \frac {45 \log \left (-\frac {1}{3} x (3+x)\right )+15 x \log \left (-\frac {1}{3} x (3+x)\right )-3 \log (25+x)-2 x \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = 3 x-5 \int \frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+125 \int \frac {1}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+\int \left (\frac {45}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}+\frac {15 x}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}-\frac {3 \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}-\frac {2 x \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}\right ) \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = 3 x-2 \int \frac {x \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-3 \int \frac {\log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-5 \int \frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+15 \int \frac {x}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+45 \int \frac {1}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+125 \int \frac {1}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = 3 x-2 \int \left (\frac {\log (25+x)}{\log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}-\frac {3 \log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}\right ) \, dx-3 \int \frac {\log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-5 \int \frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-15 \int \frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )} \, dx+15 \int \left (\frac {1}{-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )}-\frac {3}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )}\right ) \, dx+45 \int \frac {1}{(3+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+125 \int \frac {1}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ & = 3 x-2 \int \frac {\log (25+x)}{\log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-3 \int \frac {\log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-5 \int \frac {1}{\log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+6 \int \frac {\log (25+x)}{(3+x) \log \left (-\frac {1}{3} x (3+x)\right ) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx+125 \int \frac {1}{(25+x) \log (25+x) \left (-5+\log (25+x) \log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right )} \, dx-\int \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \, dx \\ \end{align*}
Time = 0.46 (sec) , antiderivative size = 29, normalized size of antiderivative = 0.97 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=3 x-x \log \left (\frac {5}{\log (25+x)}-\log \left (\log \left (-\frac {1}{3} x (3+x)\right )\right )\right ) \]
[In]
[Out]
Result contains higher order function than in optimal. Order 9 vs. order 3.
Time = 0.03 (sec) , antiderivative size = 876, normalized size of antiderivative = 29.20
\[\text {Expression too large to display}\]
[In]
[Out]
none
Time = 0.28 (sec) , antiderivative size = 34, normalized size of antiderivative = 1.13 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=-x \log \left (-\frac {\log \left (x + 25\right ) \log \left (\log \left (-\frac {1}{3} \, x^{2} - x\right )\right ) - 5}{\log \left (x + 25\right )}\right ) + 3 \, x \]
[In]
[Out]
Timed out. \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=\text {Timed out} \]
[In]
[Out]
none
Time = 0.41 (sec) , antiderivative size = 37, normalized size of antiderivative = 1.23 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=-x \log \left (-\log \left (x + 25\right ) \log \left (-\log \left (3\right ) + \log \left (x\right ) + \log \left (-x - 3\right )\right ) + 5\right ) + x \log \left (\log \left (x + 25\right )\right ) + 3 \, x \]
[In]
[Out]
none
Time = 1.06 (sec) , antiderivative size = 34, normalized size of antiderivative = 1.13 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=-x \log \left (-\log \left (x + 25\right ) \log \left (\log \left (-\frac {1}{3} \, x^{2} - x\right )\right ) + 5\right ) + x \log \left (\log \left (x + 25\right )\right ) + 3 \, x \]
[In]
[Out]
Time = 17.81 (sec) , antiderivative size = 32, normalized size of antiderivative = 1.07 \[ \int \frac {\left (-75-53 x-2 x^2\right ) \log ^2(25+x)+\left (-15 x-5 x^2\right ) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-1125-420 x-15 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (225+84 x+3 x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )+\left (\left (375+140 x+5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (-75-28 x-x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )\right ) \log \left (\frac {5-\log (25+x) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )}{\log (25+x)}\right )}{\left (-375-140 x-5 x^2\right ) \log (25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )+\left (75+28 x+x^2\right ) \log ^2(25+x) \log \left (\frac {1}{3} \left (-3 x-x^2\right )\right ) \log \left (\log \left (\frac {1}{3} \left (-3 x-x^2\right )\right )\right )} \, dx=-x\,\left (\ln \left (-\frac {\ln \left (x+25\right )\,\ln \left (\ln \left (-\frac {x^2}{3}-x\right )\right )-5}{\ln \left (x+25\right )}\right )-3\right ) \]
[In]
[Out]