Integrand size = 156, antiderivative size = 29 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=x \left (1+3 \left (-\frac {2}{x}-x+\log \left (4+e-\frac {1}{(5-x)^2}+x\right )\right )\right ) \]
[Out]
Timed out. \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=\text {\$Aborted} \]
[In]
[Out]
Rubi steps Aborted
Time = 0.11 (sec) , antiderivative size = 37, normalized size of antiderivative = 1.28 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=x-3 x^2+3 x \log \left (\frac {99+e (-5+x)^2-15 x-6 x^2+x^3}{(-5+x)^2}\right ) \]
[In]
[Out]
Time = 0.32 (sec) , antiderivative size = 47, normalized size of antiderivative = 1.62
method | result | size |
norman | \(x -3 x^{2}+3 x \ln \left (\frac {\left (x^{2}-10 x +25\right ) {\mathrm e}+x^{3}-6 x^{2}-15 x +99}{x^{2}-10 x +25}\right )\) | \(47\) |
risch | \(x -3 x^{2}+3 x \ln \left (\frac {\left (x^{2}-10 x +25\right ) {\mathrm e}+x^{3}-6 x^{2}-15 x +99}{x^{2}-10 x +25}\right )\) | \(47\) |
parallelrisch | \(3 \,{\mathrm e}^{2}+475-3 x^{2}+3 x \ln \left (\frac {\left (x^{2}-10 x +25\right ) {\mathrm e}+x^{3}-6 x^{2}-15 x +99}{x^{2}-10 x +25}\right )-158 \,{\mathrm e}+x\) | \(58\) |
default | \(x -3 x^{2}-3 \left (\munderset {\textit {\_R} =\operatorname {RootOf}\left (\textit {\_Z}^{3}+\left ({\mathrm e}-6\right ) \textit {\_Z}^{2}+\left (-10 \,{\mathrm e}-15\right ) \textit {\_Z} +25 \,{\mathrm e}+99\right )}{\sum }\frac {\left (297+\textit {\_R}^{2} {\mathrm e}-20 \textit {\_R} \,{\mathrm e}-6 \textit {\_R}^{2}+75 \,{\mathrm e}-30 \textit {\_R} \right ) \ln \left (x -\textit {\_R} \right )}{2 \textit {\_R} \,{\mathrm e}+3 \textit {\_R}^{2}-10 \,{\mathrm e}-12 \textit {\_R} -15}\right )+3 \ln \left (\frac {x^{2} {\mathrm e}+x^{3}-10 x \,{\mathrm e}-6 x^{2}+25 \,{\mathrm e}-15 x +99}{x^{2}-10 x +25}\right ) x -3 \left (\munderset {\textit {\_R} =\operatorname {RootOf}\left (\textit {\_Z}^{3}+\left ({\mathrm e}-6\right ) \textit {\_Z}^{2}+\left (-10 \,{\mathrm e}-15\right ) \textit {\_Z} +25 \,{\mathrm e}+99\right )}{\sum }\frac {\left (-\textit {\_R}^{2} {\mathrm e}+20 \textit {\_R} \,{\mathrm e}+6 \textit {\_R}^{2}-75 \,{\mathrm e}+30 \textit {\_R} -297\right ) \ln \left (x -\textit {\_R} \right )}{2 \textit {\_R} \,{\mathrm e}+3 \textit {\_R}^{2}-10 \,{\mathrm e}-12 \textit {\_R} -15}\right )\) | \(220\) |
parts | \(x -3 x^{2}-3 \left (\munderset {\textit {\_R} =\operatorname {RootOf}\left (\textit {\_Z}^{3}+\left ({\mathrm e}-6\right ) \textit {\_Z}^{2}+\left (-10 \,{\mathrm e}-15\right ) \textit {\_Z} +25 \,{\mathrm e}+99\right )}{\sum }\frac {\left (297+\textit {\_R}^{2} {\mathrm e}-20 \textit {\_R} \,{\mathrm e}-6 \textit {\_R}^{2}+75 \,{\mathrm e}-30 \textit {\_R} \right ) \ln \left (x -\textit {\_R} \right )}{2 \textit {\_R} \,{\mathrm e}+3 \textit {\_R}^{2}-10 \,{\mathrm e}-12 \textit {\_R} -15}\right )+3 \ln \left (\frac {x^{2} {\mathrm e}+x^{3}-10 x \,{\mathrm e}-6 x^{2}+25 \,{\mathrm e}-15 x +99}{x^{2}-10 x +25}\right ) x -3 \left (\munderset {\textit {\_R} =\operatorname {RootOf}\left (\textit {\_Z}^{3}+\left ({\mathrm e}-6\right ) \textit {\_Z}^{2}+\left (-10 \,{\mathrm e}-15\right ) \textit {\_Z} +25 \,{\mathrm e}+99\right )}{\sum }\frac {\left (-\textit {\_R}^{2} {\mathrm e}+20 \textit {\_R} \,{\mathrm e}+6 \textit {\_R}^{2}-75 \,{\mathrm e}+30 \textit {\_R} -297\right ) \ln \left (x -\textit {\_R} \right )}{2 \textit {\_R} \,{\mathrm e}+3 \textit {\_R}^{2}-10 \,{\mathrm e}-12 \textit {\_R} -15}\right )\) | \(220\) |
[In]
[Out]
none
Time = 0.26 (sec) , antiderivative size = 46, normalized size of antiderivative = 1.59 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=-3 \, x^{2} + 3 \, x \log \left (\frac {x^{3} - 6 \, x^{2} + {\left (x^{2} - 10 \, x + 25\right )} e - 15 \, x + 99}{x^{2} - 10 \, x + 25}\right ) + x \]
[In]
[Out]
Time = 0.14 (sec) , antiderivative size = 44, normalized size of antiderivative = 1.52 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=- 3 x^{2} + 3 x \log {\left (\frac {x^{3} - 6 x^{2} - 15 x + e \left (x^{2} - 10 x + 25\right ) + 99}{x^{2} - 10 x + 25} \right )} + x \]
[In]
[Out]
none
Time = 0.22 (sec) , antiderivative size = 44, normalized size of antiderivative = 1.52 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=-3 \, x^{2} + 3 \, x \log \left (x^{3} + x^{2} {\left (e - 6\right )} - 5 \, x {\left (2 \, e + 3\right )} + 25 \, e + 99\right ) - 6 \, x \log \left (x - 5\right ) + x \]
[In]
[Out]
none
Time = 0.42 (sec) , antiderivative size = 50, normalized size of antiderivative = 1.72 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=-3 \, x^{2} + 3 \, x \log \left (\frac {x^{3} + x^{2} e - 6 \, x^{2} - 10 \, x e - 15 \, x + 25 \, e + 99}{x^{2} - 10 \, x + 25}\right ) + x \]
[In]
[Out]
Time = 43.92 (sec) , antiderivative size = 46, normalized size of antiderivative = 1.59 \[ \int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e \left (-125+825 x-465 x^2+91 x^3-6 x^4\right )+\left (-1485+522 x+45 x^2-33 x^3+3 x^4+e \left (-375+225 x-45 x^2+3 x^3\right )\right ) \log \left (\frac {99-15 x-6 x^2+x^3+e \left (25-10 x+x^2\right )}{25-10 x+x^2}\right )}{-495+174 x+15 x^2-11 x^3+x^4+e \left (-125+75 x-15 x^2+x^3\right )} \, dx=x+3\,x\,\ln \left (\frac {\mathrm {e}\,\left (x^2-10\,x+25\right )-15\,x-6\,x^2+x^3+99}{x^2-10\,x+25}\right )-3\,x^2 \]
[In]
[Out]