Integrand size = 282, antiderivative size = 25 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {(10+x)^2}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \]
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\[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\int \frac {-320-32 x+\exp \left (4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}\right ) \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 \exp \left (4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}\right ) x^2-48 \exp \left (8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}\right ) x^4+\exp \left (12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}\right ) x^6} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {2 (10+x) \left (16+e^{x^4 (16+x)^8} x \left (20+x+171798691840 x^4+124554051584 x^5+38923141120 x^6+6928990208 x^7+778043392 x^8+57344000 x^9+2781184 x^{10}+85760 x^{11}+1528 x^{12}+12 x^{13}\right )\right )}{\left (16-e^{x^4 (16+x)^8} x^2\right )^3} \, dx \\ & = 2 \int \frac {(10+x) \left (16+e^{x^4 (16+x)^8} x \left (20+x+171798691840 x^4+124554051584 x^5+38923141120 x^6+6928990208 x^7+778043392 x^8+57344000 x^9+2781184 x^{10}+85760 x^{11}+1528 x^{12}+12 x^{13}\right )\right )}{\left (16-e^{x^4 (16+x)^8} x^2\right )^3} \, dx \\ & = 2 \int \left (-\frac {32 (10+x)^2 \left (1+8589934592 x^4+5368709120 x^5+1409286144 x^6+205520896 x^7+18350080 x^8+1032192 x^9+35840 x^{10}+704 x^{11}+6 x^{12}\right )}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^3}-\frac {200+30 x+x^2+1717986918400 x^4+1417339207680 x^5+513785462784 x^6+108213043200 x^7+14709424128 x^8+1351483392 x^9+85155840 x^{10}+3638784 x^{11}+101040 x^{12}+1648 x^{13}+12 x^{14}}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^2}\right ) \, dx \\ & = -\left (2 \int \frac {200+30 x+x^2+1717986918400 x^4+1417339207680 x^5+513785462784 x^6+108213043200 x^7+14709424128 x^8+1351483392 x^9+85155840 x^{10}+3638784 x^{11}+101040 x^{12}+1648 x^{13}+12 x^{14}}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx\right )-64 \int \frac {(10+x)^2 \left (1+8589934592 x^4+5368709120 x^5+1409286144 x^6+205520896 x^7+18350080 x^8+1032192 x^9+35840 x^{10}+704 x^{11}+6 x^{12}\right )}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx \\ & = -\left (2 \int \left (\frac {30}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {200}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {x}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {1717986918400 x^3}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {1417339207680 x^4}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {513785462784 x^5}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {108213043200 x^6}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {14709424128 x^7}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {1351483392 x^8}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {85155840 x^9}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {3638784 x^{10}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {101040 x^{11}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {1648 x^{12}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}+\frac {12 x^{13}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2}\right ) \, dx\right )-64 \int \left (\frac {20}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {100}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {x}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {858993459200 x^3}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {708669603840 x^4}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {256892731392 x^5}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {54106521600 x^6}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {7354712064 x^7}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {675741696 x^8}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {42577920 x^9}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {1819392 x^{10}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {50520 x^{11}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {824 x^{12}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}+\frac {6 x^{13}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3}\right ) \, dx \\ & = -\left (2 \int \frac {x}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx\right )-24 \int \frac {x^{13}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-60 \int \frac {1}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-64 \int \frac {x}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-384 \int \frac {x^{13}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-400 \int \frac {1}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-1280 \int \frac {1}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-3296 \int \frac {x^{12}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-6400 \int \frac {1}{x \left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-52736 \int \frac {x^{12}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-202080 \int \frac {x^{11}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-3233280 \int \frac {x^{11}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-7277568 \int \frac {x^{10}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-116441088 \int \frac {x^{10}}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-170311680 \int \frac {x^9}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-2702966784 \int \frac {x^8}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-2724986880 \int \frac {x^9}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-29418848256 \int \frac {x^7}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-43247468544 \int \frac {x^8}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-216426086400 \int \frac {x^6}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-470701572096 \int \frac {x^7}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-1027570925568 \int \frac {x^5}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-2834678415360 \int \frac {x^4}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-3435973836800 \int \frac {x^3}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \, dx-3462817382400 \int \frac {x^6}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-16441134809088 \int \frac {x^5}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-45354854645760 \int \frac {x^4}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx-54975581388800 \int \frac {x^3}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^3} \, dx \\ \end{align*}
Time = 6.20 (sec) , antiderivative size = 25, normalized size of antiderivative = 1.00 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {(10+x)^2}{\left (-16+e^{x^4 (16+x)^8} x^2\right )^2} \]
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Timed out.
\[\int \frac {\left (-24 x^{15}-3296 x^{14}-202080 x^{13}-7277568 x^{12}-170311680 x^{11}-2702966784 x^{10}-29418848256 x^{9}-216426086400 x^{8}-1027570925568 x^{7}-2834678415360 x^{6}-3435973836800 x^{5}-2 x^{3}-60 x^{2}-400 x \right ) {\mathrm e}^{x^{12}+128 x^{11}+7168 x^{10}+229376 x^{9}+4587520 x^{8}+58720256 x^{7}+469762048 x^{6}+2147483648 x^{5}+4294967296 x^{4}}-32 x -320}{x^{6} {\mathrm e}^{3 x^{12}+384 x^{11}+21504 x^{10}+688128 x^{9}+13762560 x^{8}+176160768 x^{7}+1409286144 x^{6}+6442450944 x^{5}+12884901888 x^{4}}-48 x^{4} {\mathrm e}^{2 x^{12}+256 x^{11}+14336 x^{10}+458752 x^{9}+9175040 x^{8}+117440512 x^{7}+939524096 x^{6}+4294967296 x^{5}+8589934592 x^{4}}+768 x^{2} {\mathrm e}^{x^{12}+128 x^{11}+7168 x^{10}+229376 x^{9}+4587520 x^{8}+58720256 x^{7}+469762048 x^{6}+2147483648 x^{5}+4294967296 x^{4}}-4096}d x\]
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Leaf count of result is larger than twice the leaf count of optimal. 114 vs. \(2 (24) = 48\).
Time = 0.25 (sec) , antiderivative size = 114, normalized size of antiderivative = 4.56 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {x^{2} + 20 \, x + 100}{x^{4} e^{\left (2 \, x^{12} + 256 \, x^{11} + 14336 \, x^{10} + 458752 \, x^{9} + 9175040 \, x^{8} + 117440512 \, x^{7} + 939524096 \, x^{6} + 4294967296 \, x^{5} + 8589934592 \, x^{4}\right )} - 32 \, x^{2} e^{\left (x^{12} + 128 \, x^{11} + 7168 \, x^{10} + 229376 \, x^{9} + 4587520 \, x^{8} + 58720256 \, x^{7} + 469762048 \, x^{6} + 2147483648 \, x^{5} + 4294967296 \, x^{4}\right )} + 256} \]
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Leaf count of result is larger than twice the leaf count of optimal. 110 vs. \(2 (20) = 40\).
Time = 0.19 (sec) , antiderivative size = 110, normalized size of antiderivative = 4.40 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {x^{2} + 20 x + 100}{x^{4} e^{2 x^{12} + 256 x^{11} + 14336 x^{10} + 458752 x^{9} + 9175040 x^{8} + 117440512 x^{7} + 939524096 x^{6} + 4294967296 x^{5} + 8589934592 x^{4}} - 32 x^{2} e^{x^{12} + 128 x^{11} + 7168 x^{10} + 229376 x^{9} + 4587520 x^{8} + 58720256 x^{7} + 469762048 x^{6} + 2147483648 x^{5} + 4294967296 x^{4}} + 256} \]
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Leaf count of result is larger than twice the leaf count of optimal. 114 vs. \(2 (24) = 48\).
Time = 0.31 (sec) , antiderivative size = 114, normalized size of antiderivative = 4.56 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {x^{2} + 20 \, x + 100}{x^{4} e^{\left (2 \, x^{12} + 256 \, x^{11} + 14336 \, x^{10} + 458752 \, x^{9} + 9175040 \, x^{8} + 117440512 \, x^{7} + 939524096 \, x^{6} + 4294967296 \, x^{5} + 8589934592 \, x^{4}\right )} - 32 \, x^{2} e^{\left (x^{12} + 128 \, x^{11} + 7168 \, x^{10} + 229376 \, x^{9} + 4587520 \, x^{8} + 58720256 \, x^{7} + 469762048 \, x^{6} + 2147483648 \, x^{5} + 4294967296 \, x^{4}\right )} + 256} \]
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Leaf count of result is larger than twice the leaf count of optimal. 114 vs. \(2 (24) = 48\).
Time = 1.11 (sec) , antiderivative size = 114, normalized size of antiderivative = 4.56 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {x^{2} + 20 \, x + 100}{x^{4} e^{\left (2 \, x^{12} + 256 \, x^{11} + 14336 \, x^{10} + 458752 \, x^{9} + 9175040 \, x^{8} + 117440512 \, x^{7} + 939524096 \, x^{6} + 4294967296 \, x^{5} + 8589934592 \, x^{4}\right )} - 32 \, x^{2} e^{\left (x^{12} + 128 \, x^{11} + 7168 \, x^{10} + 229376 \, x^{9} + 4587520 \, x^{8} + 58720256 \, x^{7} + 469762048 \, x^{6} + 2147483648 \, x^{5} + 4294967296 \, x^{4}\right )} + 256} \]
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Time = 9.62 (sec) , antiderivative size = 114, normalized size of antiderivative = 4.56 \[ \int \frac {-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} \left (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15}\right )}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx=\frac {x^2+20\,x+100}{x^4\,{\mathrm {e}}^{2\,x^{12}+256\,x^{11}+14336\,x^{10}+458752\,x^9+9175040\,x^8+117440512\,x^7+939524096\,x^6+4294967296\,x^5+8589934592\,x^4}-32\,x^2\,{\mathrm {e}}^{x^{12}+128\,x^{11}+7168\,x^{10}+229376\,x^9+4587520\,x^8+58720256\,x^7+469762048\,x^6+2147483648\,x^5+4294967296\,x^4}+256} \]
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