Integrand size = 223, antiderivative size = 24 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {x}{\frac {19}{4}+\left (9 (6+x)^2+\log (2-x)\right )^2} \]
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\[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {4 \left (839846-417331 x-139104 x^2+38952 x^3+13608 x^4+972 x^5+8 \left (648-323 x-18 x^2+9 x^3\right ) \log (2-x)-4 (-2+x) \log ^2(2-x)\right )}{(2-x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+72 (6+x)^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx \\ & = 4 \int \frac {839846-417331 x-139104 x^2+38952 x^3+13608 x^4+972 x^5+8 \left (648-323 x-18 x^2+9 x^3\right ) \log (2-x)-4 (-2+x) \log ^2(2-x)}{(2-x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+72 (6+x)^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx \\ & = 4 \int \left (-\frac {8 x \left (-215+72 x+18 x^2\right ) \left (324+108 x+9 x^2+\log (2-x)\right )}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)}\right ) \, dx \\ & = 4 \int \frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)} \, dx-32 \int \frac {x \left (-215+72 x+18 x^2\right ) \left (324+108 x+9 x^2+\log (2-x)\right )}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx \\ & = 4 \int \frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)} \, dx-32 \int \left (\frac {324+108 x+9 x^2+\log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {2 \left (324+108 x+9 x^2+\log (2-x)\right )}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {108 x \left (324+108 x+9 x^2+\log (2-x)\right )}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {18 x^2 \left (324+108 x+9 x^2+\log (2-x)\right )}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}\right ) \, dx \\ & = 4 \int \frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)} \, dx-32 \int \frac {324+108 x+9 x^2+\log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-64 \int \frac {324+108 x+9 x^2+\log (2-x)}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-576 \int \frac {x^2 \left (324+108 x+9 x^2+\log (2-x)\right )}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-3456 \int \frac {x \left (324+108 x+9 x^2+\log (2-x)\right )}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx \\ & = 4 \int \frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)} \, dx-32 \int \left (\frac {324}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {108 x}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {9 x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {\log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}\right ) \, dx-64 \int \left (\frac {324}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {108 x}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {9 x^2}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {\log (2-x)}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}\right ) \, dx-576 \int \left (\frac {324 x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {108 x^3}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {9 x^4}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {x^2 \log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}\right ) \, dx-3456 \int \left (\frac {324 x}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {108 x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {9 x^3}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}+\frac {x \log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2}\right ) \, dx \\ & = 4 \int \frac {1}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)} \, dx-32 \int \frac {\log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-64 \int \frac {\log (2-x)}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-288 \int \frac {x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-576 \int \frac {x^2}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-576 \int \frac {x^2 \log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-3456 \int \frac {x}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-3456 \int \frac {x \log (2-x)}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-5184 \int \frac {x^4}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-6912 \int \frac {x}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-10368 \int \frac {1}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-20736 \int \frac {1}{(-2+x) \left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-31104 \int \frac {x^3}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-62208 \int \frac {x^3}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-186624 \int \frac {x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-373248 \int \frac {x^2}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx-1119744 \int \frac {x}{\left (419923+279936 x+69984 x^2+7776 x^3+324 x^4+2592 \log (2-x)+864 x \log (2-x)+72 x^2 \log (2-x)+4 \log ^2(2-x)\right )^2} \, dx \\ & = \text {Too large to display} \\ \end{align*}
Time = 0.08 (sec) , antiderivative size = 48, normalized size of antiderivative = 2.00 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {4 x}{419923+279936 x+69984 x^2+7776 x^3+324 x^4+72 (6+x)^2 \log (2-x)+4 \log ^2(2-x)} \]
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Leaf count of result is larger than twice the leaf count of optimal. \(63\) vs. \(2(25)=50\).
Time = 0.33 (sec) , antiderivative size = 64, normalized size of antiderivative = 2.67
method | result | size |
risch | \(\frac {4 x}{324 x^{4}+72 \ln \left (2-x \right ) x^{2}+7776 x^{3}+4 \ln \left (2-x \right )^{2}+864 x \ln \left (2-x \right )+69984 x^{2}+2592 \ln \left (2-x \right )+279936 x +419923}\) | \(64\) |
parallelrisch | \(\frac {4 x}{324 x^{4}+72 \ln \left (2-x \right ) x^{2}+7776 x^{3}+4 \ln \left (2-x \right )^{2}+864 x \ln \left (2-x \right )+69984 x^{2}+2592 \ln \left (2-x \right )+279936 x +419923}\) | \(64\) |
derivativedivides | \(\frac {4 x}{324 \left (2-x \right )^{4}-10368 \left (2-x \right )^{3}+72 \ln \left (2-x \right ) \left (2-x \right )^{2}+124416 \left (2-x \right )^{2}-1152 \left (2-x \right ) \ln \left (2-x \right )+4 \ln \left (2-x \right )^{2}+19+663552 x +4608 \ln \left (2-x \right )}\) | \(84\) |
default | \(\frac {4 x}{324 \left (2-x \right )^{4}-10368 \left (2-x \right )^{3}+72 \ln \left (2-x \right ) \left (2-x \right )^{2}+124416 \left (2-x \right )^{2}-1152 \left (2-x \right ) \ln \left (2-x \right )+4 \ln \left (2-x \right )^{2}+19+663552 x +4608 \ln \left (2-x \right )}\) | \(84\) |
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Leaf count of result is larger than twice the leaf count of optimal. 51 vs. \(2 (25) = 50\).
Time = 0.26 (sec) , antiderivative size = 51, normalized size of antiderivative = 2.12 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {4 \, x}{324 \, x^{4} + 7776 \, x^{3} + 69984 \, x^{2} + 72 \, {\left (x^{2} + 12 \, x + 36\right )} \log \left (-x + 2\right ) + 4 \, \log \left (-x + 2\right )^{2} + 279936 \, x + 419923} \]
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Leaf count of result is larger than twice the leaf count of optimal. 46 vs. \(2 (17) = 34\).
Time = 0.13 (sec) , antiderivative size = 46, normalized size of antiderivative = 1.92 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {4 x}{324 x^{4} + 7776 x^{3} + 69984 x^{2} + 279936 x + \left (72 x^{2} + 864 x + 2592\right ) \log {\left (2 - x \right )} + 4 \log {\left (2 - x \right )}^{2} + 419923} \]
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Leaf count of result is larger than twice the leaf count of optimal. 51 vs. \(2 (25) = 50\).
Time = 0.23 (sec) , antiderivative size = 51, normalized size of antiderivative = 2.12 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {4 \, x}{324 \, x^{4} + 7776 \, x^{3} + 69984 \, x^{2} + 72 \, {\left (x^{2} + 12 \, x + 36\right )} \log \left (-x + 2\right ) + 4 \, \log \left (-x + 2\right )^{2} + 279936 \, x + 419923} \]
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Leaf count of result is larger than twice the leaf count of optimal. 73 vs. \(2 (25) = 50\).
Time = 0.33 (sec) , antiderivative size = 73, normalized size of antiderivative = 3.04 \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\frac {4 \, x}{324 \, {\left (x - 2\right )}^{4} + 10368 \, {\left (x - 2\right )}^{3} + 72 \, {\left (x - 2\right )}^{2} \log \left (-x + 2\right ) + 124416 \, {\left (x - 2\right )}^{2} + 1152 \, {\left (x - 2\right )} \log \left (-x + 2\right ) + 4 \, \log \left (-x + 2\right )^{2} + 663552 \, x + 4608 \, \log \left (-x + 2\right ) + 19} \]
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Timed out. \[ \int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+\left (-20736+10336 x+576 x^2-288 x^3\right ) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+\left (-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7\right ) \log (2-x)+\left (-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5\right ) \log ^2(2-x)+\left (-41472+6912 x+5760 x^2+576 x^3\right ) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx=\int \frac {1669324\,x+{\ln \left (2-x\right )}^2\,\left (16\,x-32\right )+\ln \left (2-x\right )\,\left (-288\,x^3+576\,x^2+10336\,x-20736\right )+556416\,x^2-155808\,x^3-54432\,x^4-3888\,x^5-3359384}{{\ln \left (2-x\right )}^3\,\left (576\,x^3+5760\,x^2+6912\,x-41472\right )-293870933783\,x+\ln \left (2-x\right )\,\left (46656\,x^7+1586304\,x^6+21835008\,x^5+151165440\,x^4+503887536\,x^3+362824416\,x^2-2176749504\,x-4353761664\right )+{\ln \left (2-x\right )}^2\,\left (7776\,x^5+171072\,x^4+1306368\,x^3+3359232\,x^2-3359080\,x-20155696\right )+{\ln \left (2-x\right )}^4\,\left (16\,x-32\right )-39176763264\,x^2+45714497472\,x^3+26665854480\,x^4+6983855640\,x^5+1058158080\,x^6+95738112\,x^7+4828896\,x^8+104976\,x^9-352670651858} \,d x \]
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