1,1,3993,415,47.789473,"\text{Not used}","int((e + f*x)^3*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)*(A + B*x + C*x^2),x)","-\frac{\frac{\left(\frac{2048\,C\,f^3}{3}-640\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{\left(\frac{2048\,C\,f^3}{3}-640\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{22}}{{\left(\sqrt{d\,x+1}-1\right)}^{22}}-\frac{\left(\frac{20480\,C\,f^3}{3}-448\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{\left(\frac{20480\,C\,f^3}{3}-448\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}+\frac{\left(\frac{27136\,C\,d^2\,e^2\,f}{5}+\frac{458752\,C\,f^3}{15}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{\left(\frac{27136\,C\,d^2\,e^2\,f}{5}+\frac{458752\,C\,f^3}{15}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}-\frac{\left(\frac{1011712\,C\,f^3}{15}-\frac{13184\,C\,d^2\,e^2\,f}{5}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}-\frac{\left(\frac{1011712\,C\,f^3}{15}-\frac{13184\,C\,d^2\,e^2\,f}{5}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{\left(\frac{9293824\,C\,f^3}{105}-\frac{15104\,C\,d^2\,e^2\,f}{5}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(\frac{29\,C\,d^3\,e^3}{2}-\frac{41\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{25}\,\left(\frac{29\,C\,d^3\,e^3}{2}-\frac{41\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{25}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(39\,C\,d^3\,e^3-\frac{1099\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{23}\,\left(39\,C\,d^3\,e^3-\frac{1099\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{23}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(209\,C\,d^3\,e^3+\frac{8755\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{21}\,\left(209\,C\,d^3\,e^3+\frac{8755\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{21}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(\frac{1767\,C\,d^3\,e^3}{2}-\frac{8267\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{17}\,\left(\frac{1767\,C\,d^3\,e^3}{2}-\frac{8267\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(646\,C\,d^3\,e^3-17527\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(646\,C\,d^3\,e^3-17527\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(\frac{165\,C\,d^3\,e^3}{2}+\frac{42095\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{19}\,\left(\frac{165\,C\,d^3\,e^3}{2}+\frac{42095\,C\,d\,e\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{19}}-\frac{d\,\left(2\,C\,d^2\,e^3+3\,C\,e\,f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{4\,\left(\sqrt{d\,x+1}-1\right)}+\frac{d\,\left(2\,C\,d^2\,e^3+3\,C\,e\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{27}}{4\,{\left(\sqrt{d\,x+1}-1\right)}^{27}}+\frac{192\,C\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{192\,C\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{24}}{{\left(\sqrt{d\,x+1}-1\right)}^{24}}}{d^6+\frac{14\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{91\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{364\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{1001\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{2002\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{3003\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{3432\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{3003\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{2002\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{1001\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}+\frac{364\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{22}}{{\left(\sqrt{d\,x+1}-1\right)}^{22}}+\frac{91\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{24}}{{\left(\sqrt{d\,x+1}-1\right)}^{24}}+\frac{14\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{26}}{{\left(\sqrt{d\,x+1}-1\right)}^{26}}+\frac{d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{28}}{{\left(\sqrt{d\,x+1}-1\right)}^{28}}}-\frac{\frac{\left(512\,A\,d^2\,e^2\,f+\frac{4928\,A\,f^3}{3}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{\left(\frac{1408\,A\,f^3}{3}-32\,A\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}-\frac{\left(\frac{1408\,A\,f^3}{3}-32\,A\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{\left(512\,A\,d^2\,e^2\,f+\frac{4928\,A\,f^3}{3}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}-\frac{\left(\frac{11008\,A\,f^3}{5}-912\,A\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(2\,A\,d^3\,e^3-\frac{3\,A\,d\,e\,f^2}{2}\right)}{\sqrt{d\,x+1}-1}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{19}\,\left(2\,A\,d^3\,e^3-\frac{3\,A\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{19}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(2\,A\,d^3\,e^3-\frac{99\,A\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{17}\,\left(2\,A\,d^3\,e^3-\frac{99\,A\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(40\,A\,d^3\,e^3+306\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(40\,A\,d^3\,e^3+306\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(88\,A\,d^3\,e^3-306\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(88\,A\,d^3\,e^3-306\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(52\,A\,d^3\,e^3-663\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(52\,A\,d^3\,e^3-663\,A\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{64\,A\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{64\,A\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{24\,A\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{24\,A\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}}{d^4+\frac{10\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{120\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{210\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{252\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{210\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{120\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{45\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{10\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}}-\frac{\frac{\left(\frac{3\,B\,d^2\,e^2\,f}{2}+\frac{B\,f^3}{4}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{23}}{{\left(\sqrt{d\,x+1}-1\right)}^{23}}-\frac{\left(\frac{35\,B\,f^3}{12}-\frac{93\,B\,d^2\,e^2\,f}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{\left(\frac{35\,B\,f^3}{12}-\frac{93\,B\,d^2\,e^2\,f}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{21}}{{\left(\sqrt{d\,x+1}-1\right)}^{21}}+\frac{\left(\frac{757\,B\,f^3}{4}-\frac{417\,B\,d^2\,e^2\,f}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{\left(\frac{757\,B\,f^3}{4}-\frac{417\,B\,d^2\,e^2\,f}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{19}}{{\left(\sqrt{d\,x+1}-1\right)}^{19}}-\frac{\left(\frac{513\,B\,d^2\,e^2\,f}{2}+\frac{7339\,B\,f^3}{4}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{\left(\frac{513\,B\,d^2\,e^2\,f}{2}+\frac{7339\,B\,f^3}{4}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{17}}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}-\frac{\left(\frac{25661\,B\,f^3}{2}-969\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{\left(\frac{25661\,B\,f^3}{2}-969\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{\left(969\,B\,d^2\,e^2\,f+\frac{41929\,B\,f^3}{6}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^9}{{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{\left(969\,B\,d^2\,e^2\,f+\frac{41929\,B\,f^3}{6}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(16\,B\,d^3\,e^3+192\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{20}\,\left(16\,B\,d^3\,e^3+192\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(\frac{56\,B\,d^3\,e^3}{3}-1024\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{18}\,\left(\frac{56\,B\,d^3\,e^3}{3}-1024\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^8\,\left(192\,B\,d^3\,e^3+2304\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{16}\,\left(192\,B\,d^3\,e^3+2304\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{10}\,\left(656\,B\,d^3\,e^3+\frac{9216\,B\,d\,e\,f^2}{5}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{14}\,\left(656\,B\,d^3\,e^3+\frac{9216\,B\,d\,e\,f^2}{5}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{12}\,\left(\frac{2848\,B\,d^3\,e^3}{3}-\frac{16768\,B\,d\,e\,f^2}{5}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}-\frac{\left(\frac{3\,B\,d^2\,e^2\,f}{2}+\frac{B\,f^3}{4}\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{8\,B\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{8\,B\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^{22}}{{\left(\sqrt{d\,x+1}-1\right)}^{22}}}{d^5+\frac{12\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{66\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{220\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{495\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{792\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{924\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{792\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{495\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{220\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{66\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}+\frac{12\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{22}}{{\left(\sqrt{d\,x+1}-1\right)}^{22}}+\frac{d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{24}}{{\left(\sqrt{d\,x+1}-1\right)}^{24}}}-\frac{B\,f\,\mathrm{atan}\left(\frac{B\,f\,\left(6\,d^2\,e^2+f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{\left(6\,B\,d^2\,e^2\,f+B\,f^3\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(6\,d^2\,e^2+f^2\right)}{4\,d^5}-\frac{A\,e\,\mathrm{atan}\left(\frac{A\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(4\,d^2\,e^2+3\,f^2\right)}{\left(4\,A\,d^2\,e^3+3\,A\,e\,f^2\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(4\,d^2\,e^2+3\,f^2\right)}{2\,d^3}-\frac{C\,e\,\mathrm{atan}\left(\frac{C\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(2\,d^2\,e^2+3\,f^2\right)}{\left(2\,C\,d^2\,e^3+3\,C\,e\,f^2\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(2\,d^2\,e^2+3\,f^2\right)}{4\,d^5}","Not used",1,"- ((((2048*C*f^3)/3 - 640*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (((2048*C*f^3)/3 - 640*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^22)/((d*x + 1)^(1/2) - 1)^22 - (((20480*C*f^3)/3 - 448*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 - (((20480*C*f^3)/3 - 448*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20 + (((458752*C*f^3)/15 + (27136*C*d^2*e^2*f)/5)*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (((458752*C*f^3)/15 + (27136*C*d^2*e^2*f)/5)*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 - (((1011712*C*f^3)/15 - (13184*C*d^2*e^2*f)/5)*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 - (((1011712*C*f^3)/15 - (13184*C*d^2*e^2*f)/5)*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (((9293824*C*f^3)/105 - (15104*C*d^2*e^2*f)/5)*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (((1 - d*x)^(1/2) - 1)^3*((29*C*d^3*e^3)/2 - (41*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^3 - (((1 - d*x)^(1/2) - 1)^25*((29*C*d^3*e^3)/2 - (41*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^25 - (((1 - d*x)^(1/2) - 1)^5*(39*C*d^3*e^3 - (1099*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^5 + (((1 - d*x)^(1/2) - 1)^23*(39*C*d^3*e^3 - (1099*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^23 - (((1 - d*x)^(1/2) - 1)^7*(209*C*d^3*e^3 + (8755*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^7 + (((1 - d*x)^(1/2) - 1)^21*(209*C*d^3*e^3 + (8755*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^21 + (((1 - d*x)^(1/2) - 1)^11*((1767*C*d^3*e^3)/2 - (8267*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^11 - (((1 - d*x)^(1/2) - 1)^17*((1767*C*d^3*e^3)/2 - (8267*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^17 + (((1 - d*x)^(1/2) - 1)^13*(646*C*d^3*e^3 - 17527*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^13 - (((1 - d*x)^(1/2) - 1)^15*(646*C*d^3*e^3 - 17527*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^15 + (((1 - d*x)^(1/2) - 1)^9*((165*C*d^3*e^3)/2 + (42095*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^9 - (((1 - d*x)^(1/2) - 1)^19*((165*C*d^3*e^3)/2 + (42095*C*d*e*f^2)/4))/((d*x + 1)^(1/2) - 1)^19 - (d*(2*C*d^2*e^3 + 3*C*e*f^2)*((1 - d*x)^(1/2) - 1))/(4*((d*x + 1)^(1/2) - 1)) + (d*(2*C*d^2*e^3 + 3*C*e*f^2)*((1 - d*x)^(1/2) - 1)^27)/(4*((d*x + 1)^(1/2) - 1)^27) + (192*C*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (192*C*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^24)/((d*x + 1)^(1/2) - 1)^24)/(d^6 + (14*d^6*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (91*d^6*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (364*d^6*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (1001*d^6*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (2002*d^6*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (3003*d^6*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (3432*d^6*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (3003*d^6*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (2002*d^6*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (1001*d^6*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20 + (364*d^6*((1 - d*x)^(1/2) - 1)^22)/((d*x + 1)^(1/2) - 1)^22 + (91*d^6*((1 - d*x)^(1/2) - 1)^24)/((d*x + 1)^(1/2) - 1)^24 + (14*d^6*((1 - d*x)^(1/2) - 1)^26)/((d*x + 1)^(1/2) - 1)^26 + (d^6*((1 - d*x)^(1/2) - 1)^28)/((d*x + 1)^(1/2) - 1)^28) - ((((4928*A*f^3)/3 + 512*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 - (((1408*A*f^3)/3 - 32*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 - (((1408*A*f^3)/3 - 32*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (((4928*A*f^3)/3 + 512*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 - (((11008*A*f^3)/5 - 912*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (((1 - d*x)^(1/2) - 1)*(2*A*d^3*e^3 - (3*A*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1) - (((1 - d*x)^(1/2) - 1)^19*(2*A*d^3*e^3 - (3*A*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^19 - (((1 - d*x)^(1/2) - 1)^3*(2*A*d^3*e^3 - (99*A*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^3 + (((1 - d*x)^(1/2) - 1)^17*(2*A*d^3*e^3 - (99*A*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^17 - (((1 - d*x)^(1/2) - 1)^5*(40*A*d^3*e^3 + 306*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^5 + (((1 - d*x)^(1/2) - 1)^15*(40*A*d^3*e^3 + 306*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^15 - (((1 - d*x)^(1/2) - 1)^7*(88*A*d^3*e^3 - 306*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^7 + (((1 - d*x)^(1/2) - 1)^13*(88*A*d^3*e^3 - 306*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^13 - (((1 - d*x)^(1/2) - 1)^9*(52*A*d^3*e^3 - 663*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^9 + (((1 - d*x)^(1/2) - 1)^11*(52*A*d^3*e^3 - 663*A*d*e*f^2))/((d*x + 1)^(1/2) - 1)^11 + (64*A*f^3*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (64*A*f^3*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (24*A*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (24*A*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18)/(d^4 + (10*d^4*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (45*d^4*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (120*d^4*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (210*d^4*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (252*d^4*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (210*d^4*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (120*d^4*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (45*d^4*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (10*d^4*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (d^4*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20) - ((((B*f^3)/4 + (3*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^23)/((d*x + 1)^(1/2) - 1)^23 - (((35*B*f^3)/12 - (93*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (((35*B*f^3)/12 - (93*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^21)/((d*x + 1)^(1/2) - 1)^21 + (((757*B*f^3)/4 - (417*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (((757*B*f^3)/4 - (417*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^19)/((d*x + 1)^(1/2) - 1)^19 - (((7339*B*f^3)/4 + (513*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (((7339*B*f^3)/4 + (513*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1)^17)/((d*x + 1)^(1/2) - 1)^17 - (((25661*B*f^3)/2 - 969*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^11)/((d*x + 1)^(1/2) - 1)^11 + (((25661*B*f^3)/2 - 969*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^13)/((d*x + 1)^(1/2) - 1)^13 + (((41929*B*f^3)/6 + 969*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^9)/((d*x + 1)^(1/2) - 1)^9 - (((41929*B*f^3)/6 + 969*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^15)/((d*x + 1)^(1/2) - 1)^15 + (((1 - d*x)^(1/2) - 1)^4*(16*B*d^3*e^3 + 192*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^4 + (((1 - d*x)^(1/2) - 1)^20*(16*B*d^3*e^3 + 192*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^20 + (((1 - d*x)^(1/2) - 1)^6*((56*B*d^3*e^3)/3 - 1024*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^6 + (((1 - d*x)^(1/2) - 1)^18*((56*B*d^3*e^3)/3 - 1024*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^18 + (((1 - d*x)^(1/2) - 1)^8*(192*B*d^3*e^3 + 2304*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^8 + (((1 - d*x)^(1/2) - 1)^16*(192*B*d^3*e^3 + 2304*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^16 + (((1 - d*x)^(1/2) - 1)^10*(656*B*d^3*e^3 + (9216*B*d*e*f^2)/5))/((d*x + 1)^(1/2) - 1)^10 + (((1 - d*x)^(1/2) - 1)^14*(656*B*d^3*e^3 + (9216*B*d*e*f^2)/5))/((d*x + 1)^(1/2) - 1)^14 + (((1 - d*x)^(1/2) - 1)^12*((2848*B*d^3*e^3)/3 - (16768*B*d*e*f^2)/5))/((d*x + 1)^(1/2) - 1)^12 - (((B*f^3)/4 + (3*B*d^2*e^2*f)/2)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (8*B*d^3*e^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (8*B*d^3*e^3*((1 - d*x)^(1/2) - 1)^22)/((d*x + 1)^(1/2) - 1)^22)/(d^5 + (12*d^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (66*d^5*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (220*d^5*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (495*d^5*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (792*d^5*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (924*d^5*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (792*d^5*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (495*d^5*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (220*d^5*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (66*d^5*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20 + (12*d^5*((1 - d*x)^(1/2) - 1)^22)/((d*x + 1)^(1/2) - 1)^22 + (d^5*((1 - d*x)^(1/2) - 1)^24)/((d*x + 1)^(1/2) - 1)^24) - (B*f*atan((B*f*(f^2 + 6*d^2*e^2)*((1 - d*x)^(1/2) - 1))/((B*f^3 + 6*B*d^2*e^2*f)*((d*x + 1)^(1/2) - 1)))*(f^2 + 6*d^2*e^2))/(4*d^5) - (A*e*atan((A*e*((1 - d*x)^(1/2) - 1)*(3*f^2 + 4*d^2*e^2))/((4*A*d^2*e^3 + 3*A*e*f^2)*((d*x + 1)^(1/2) - 1)))*(3*f^2 + 4*d^2*e^2))/(2*d^3) - (C*e*atan((C*e*((1 - d*x)^(1/2) - 1)*(3*f^2 + 2*d^2*e^2))/((2*C*d^2*e^3 + 3*C*e*f^2)*((d*x + 1)^(1/2) - 1)))*(3*f^2 + 2*d^2*e^2))/(4*d^5)","B"
2,1,2920,286,36.027716,"\text{Not used}","int((e + f*x)^2*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)*(A + B*x + C*x^2),x)","-\frac{\frac{{\left(\sqrt{1-d\,x}-1\right)}^8\,\left(\frac{512\,B\,d^2\,e^2}{3}+\frac{4928\,B\,f^2}{3}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{14}\,\left(\frac{1408\,B\,f^2}{3}-\frac{32\,B\,d^2\,e^2}{3}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(\frac{1408\,B\,f^2}{3}-\frac{32\,B\,d^2\,e^2}{3}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{12}\,\left(\frac{512\,B\,d^2\,e^2}{3}+\frac{4928\,B\,f^2}{3}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{10}\,\left(\frac{11008\,B\,f^2}{5}-304\,B\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{64\,B\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{64\,B\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{8\,B\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{8\,B\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{33\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{204\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{204\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{442\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^9}{{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{442\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{204\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{204\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{33\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{17}}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}+\frac{B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{19}}{{\left(\sqrt{d\,x+1}-1\right)}^{19}}-\frac{B\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^4+\frac{10\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{120\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{210\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{252\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{210\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{120\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{45\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{10\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}}-\frac{\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(\frac{A\,f^2}{2}-2\,A\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(\frac{A\,f^2}{2}-2\,A\,d^2\,e^2\right)}{\sqrt{d\,x+1}-1}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(\frac{35\,A\,f^2}{2}-6\,A\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(\frac{35\,A\,f^2}{2}-6\,A\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(30\,A\,d^2\,e^2+\frac{273\,A\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(30\,A\,d^2\,e^2+\frac{273\,A\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(\frac{715\,A\,f^2}{2}-22\,A\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(\frac{715\,A\,f^2}{2}-22\,A\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{16\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{32\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{208\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^6}{3\,{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{704\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^8}{3\,{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{208\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{3\,{\left(\sqrt{d\,x+1}-1\right)}^{10}}-\frac{32\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{16\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}}{d^3+\frac{8\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{28\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{56\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{70\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{56\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{28\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{8\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{d^3\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}}-\frac{\frac{{\left(\sqrt{1-d\,x}-1\right)}^{23}\,\left(\frac{C\,d^2\,e^2}{2}+\frac{C\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{23}}-\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(\frac{C\,d^2\,e^2}{2}+\frac{C\,f^2}{4}\right)}{\sqrt{d\,x+1}-1}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(\frac{35\,C\,f^2}{12}-\frac{31\,C\,d^2\,e^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{21}\,\left(\frac{35\,C\,f^2}{12}-\frac{31\,C\,d^2\,e^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{21}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(\frac{757\,C\,f^2}{4}-\frac{139\,C\,d^2\,e^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{19}\,\left(\frac{757\,C\,f^2}{4}-\frac{139\,C\,d^2\,e^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{19}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(\frac{171\,C\,d^2\,e^2}{2}+\frac{7339\,C\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{17}\,\left(\frac{171\,C\,d^2\,e^2}{2}+\frac{7339\,C\,f^2}{4}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(\frac{25661\,C\,f^2}{2}-323\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(\frac{25661\,C\,f^2}{2}-323\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(323\,C\,d^2\,e^2+\frac{41929\,C\,f^2}{6}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(323\,C\,d^2\,e^2+\frac{41929\,C\,f^2}{6}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}+\frac{128\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{2048\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^6}{3\,{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{1536\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{6144\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{5\,{\left(\sqrt{d\,x+1}-1\right)}^{10}}-\frac{33536\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{15\,{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{6144\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{5\,{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{1536\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}-\frac{2048\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{3\,{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{128\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}}{d^5+\frac{12\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{66\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{220\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{495\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{792\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{924\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{792\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{495\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{220\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{66\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}+\frac{12\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{22}}{{\left(\sqrt{d\,x+1}-1\right)}^{22}}+\frac{d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{24}}{{\left(\sqrt{d\,x+1}-1\right)}^{24}}}-\frac{A\,\mathrm{atan}\left(\frac{A\,\left(4\,d^2\,e^2+f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(4\,A\,d^2\,e^2+A\,f^2\right)}\right)\,\left(4\,d^2\,e^2+f^2\right)}{2\,d^3}-\frac{C\,\mathrm{atan}\left(\frac{C\,\left(2\,d^2\,e^2+f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(2\,C\,d^2\,e^2+C\,f^2\right)}\right)\,\left(2\,d^2\,e^2+f^2\right)}{4\,d^5}-\frac{B\,e\,f\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}","Not used",1,"- ((((1 - d*x)^(1/2) - 1)^8*((4928*B*f^2)/3 + (512*B*d^2*e^2)/3))/((d*x + 1)^(1/2) - 1)^8 - (((1 - d*x)^(1/2) - 1)^14*((1408*B*f^2)/3 - (32*B*d^2*e^2)/3))/((d*x + 1)^(1/2) - 1)^14 - (((1 - d*x)^(1/2) - 1)^6*((1408*B*f^2)/3 - (32*B*d^2*e^2)/3))/((d*x + 1)^(1/2) - 1)^6 + (((1 - d*x)^(1/2) - 1)^12*((4928*B*f^2)/3 + (512*B*d^2*e^2)/3))/((d*x + 1)^(1/2) - 1)^12 - (((1 - d*x)^(1/2) - 1)^10*((11008*B*f^2)/5 - 304*B*d^2*e^2))/((d*x + 1)^(1/2) - 1)^10 + (64*B*f^2*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (64*B*f^2*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (8*B*d^2*e^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (8*B*d^2*e^2*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (33*B*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (204*B*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (204*B*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (442*B*d*e*f*((1 - d*x)^(1/2) - 1)^9)/((d*x + 1)^(1/2) - 1)^9 - (442*B*d*e*f*((1 - d*x)^(1/2) - 1)^11)/((d*x + 1)^(1/2) - 1)^11 - (204*B*d*e*f*((1 - d*x)^(1/2) - 1)^13)/((d*x + 1)^(1/2) - 1)^13 + (204*B*d*e*f*((1 - d*x)^(1/2) - 1)^15)/((d*x + 1)^(1/2) - 1)^15 - (33*B*d*e*f*((1 - d*x)^(1/2) - 1)^17)/((d*x + 1)^(1/2) - 1)^17 + (B*d*e*f*((1 - d*x)^(1/2) - 1)^19)/((d*x + 1)^(1/2) - 1)^19 - (B*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^4 + (10*d^4*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (45*d^4*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (120*d^4*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (210*d^4*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (252*d^4*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (210*d^4*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (120*d^4*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (45*d^4*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (10*d^4*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (d^4*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20) - ((((1 - d*x)^(1/2) - 1)^15*((A*f^2)/2 - 2*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^15 - (((1 - d*x)^(1/2) - 1)*((A*f^2)/2 - 2*A*d^2*e^2))/((d*x + 1)^(1/2) - 1) + (((1 - d*x)^(1/2) - 1)^3*((35*A*f^2)/2 - 6*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^3 - (((1 - d*x)^(1/2) - 1)^13*((35*A*f^2)/2 - 6*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^13 - (((1 - d*x)^(1/2) - 1)^5*((273*A*f^2)/2 + 30*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^5 + (((1 - d*x)^(1/2) - 1)^11*((273*A*f^2)/2 + 30*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^11 + (((1 - d*x)^(1/2) - 1)^7*((715*A*f^2)/2 - 22*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^7 - (((1 - d*x)^(1/2) - 1)^9*((715*A*f^2)/2 - 22*A*d^2*e^2))/((d*x + 1)^(1/2) - 1)^9 + (16*A*d*e*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (32*A*d*e*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (208*A*d*e*f*((1 - d*x)^(1/2) - 1)^6)/(3*((d*x + 1)^(1/2) - 1)^6) + (704*A*d*e*f*((1 - d*x)^(1/2) - 1)^8)/(3*((d*x + 1)^(1/2) - 1)^8) + (208*A*d*e*f*((1 - d*x)^(1/2) - 1)^10)/(3*((d*x + 1)^(1/2) - 1)^10) - (32*A*d*e*f*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (16*A*d*e*f*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14)/(d^3 + (8*d^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (28*d^3*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (56*d^3*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (70*d^3*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (56*d^3*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (28*d^3*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (8*d^3*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (d^3*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16) - ((((1 - d*x)^(1/2) - 1)^23*((C*f^2)/4 + (C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^23 - (((1 - d*x)^(1/2) - 1)*((C*f^2)/4 + (C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1) - (((1 - d*x)^(1/2) - 1)^3*((35*C*f^2)/12 - (31*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^3 + (((1 - d*x)^(1/2) - 1)^21*((35*C*f^2)/12 - (31*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^21 + (((1 - d*x)^(1/2) - 1)^5*((757*C*f^2)/4 - (139*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^5 - (((1 - d*x)^(1/2) - 1)^19*((757*C*f^2)/4 - (139*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^19 - (((1 - d*x)^(1/2) - 1)^7*((7339*C*f^2)/4 + (171*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^7 + (((1 - d*x)^(1/2) - 1)^17*((7339*C*f^2)/4 + (171*C*d^2*e^2)/2))/((d*x + 1)^(1/2) - 1)^17 - (((1 - d*x)^(1/2) - 1)^11*((25661*C*f^2)/2 - 323*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^11 + (((1 - d*x)^(1/2) - 1)^13*((25661*C*f^2)/2 - 323*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^13 + (((1 - d*x)^(1/2) - 1)^9*((41929*C*f^2)/6 + 323*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^9 - (((1 - d*x)^(1/2) - 1)^15*((41929*C*f^2)/6 + 323*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^15 + (128*C*d*e*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 - (2048*C*d*e*f*((1 - d*x)^(1/2) - 1)^6)/(3*((d*x + 1)^(1/2) - 1)^6) + (1536*C*d*e*f*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (6144*C*d*e*f*((1 - d*x)^(1/2) - 1)^10)/(5*((d*x + 1)^(1/2) - 1)^10) - (33536*C*d*e*f*((1 - d*x)^(1/2) - 1)^12)/(15*((d*x + 1)^(1/2) - 1)^12) + (6144*C*d*e*f*((1 - d*x)^(1/2) - 1)^14)/(5*((d*x + 1)^(1/2) - 1)^14) + (1536*C*d*e*f*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 - (2048*C*d*e*f*((1 - d*x)^(1/2) - 1)^18)/(3*((d*x + 1)^(1/2) - 1)^18) + (128*C*d*e*f*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20)/(d^5 + (12*d^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (66*d^5*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (220*d^5*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (495*d^5*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (792*d^5*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (924*d^5*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (792*d^5*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (495*d^5*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (220*d^5*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (66*d^5*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20 + (12*d^5*((1 - d*x)^(1/2) - 1)^22)/((d*x + 1)^(1/2) - 1)^22 + (d^5*((1 - d*x)^(1/2) - 1)^24)/((d*x + 1)^(1/2) - 1)^24) - (A*atan((A*(f^2 + 4*d^2*e^2)*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(A*f^2 + 4*A*d^2*e^2)))*(f^2 + 4*d^2*e^2))/(2*d^3) - (C*atan((C*(f^2 + 2*d^2*e^2)*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(C*f^2 + 2*C*d^2*e^2)))*(f^2 + 2*d^2*e^2))/(4*d^5) - (B*e*f*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3","B"
3,1,736,168,12.064872,"\text{Not used}","int((e + f*x)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)*(A + B*x + C*x^2),x)","\frac{\frac{B\,f\,\left(\sqrt{1-d\,x}-1\right)}{2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{35\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{2\,{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{273\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{2\,{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{715\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{2\,{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{715\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^9}{2\,{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{273\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{35\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{13}}-\frac{B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{15}}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^8}-\sqrt{1-d\,x}\,\left(\frac{2\,C\,f\,\sqrt{d\,x+1}}{15\,d^4}-\frac{C\,f\,x^4\,\sqrt{d\,x+1}}{5}+\frac{C\,f\,x^2\,\sqrt{d\,x+1}}{15\,d^2}\right)+\frac{\frac{C\,e\,\left(\sqrt{1-d\,x}-1\right)}{2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{35\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^3}{2\,{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{273\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^5}{2\,{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{715\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^7}{2\,{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{715\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^9}{2\,{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{273\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{11}}+\frac{35\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{13}}-\frac{C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{15}}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^8}-\frac{B\,f\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{2\,d^3}-\frac{C\,e\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{2\,d^3}+\frac{A\,e\,x\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{2}-\frac{A\,\sqrt{d}\,e\,\ln\left(\sqrt{-d}\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}-d^{3/2}\,x\right)}{2\,{\left(-d\right)}^{3/2}}+\frac{A\,f\,\left(d^2\,x^2-1\right)\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{3\,d^2}+\frac{B\,e\,\left(d^2\,x^2-1\right)\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{3\,d^2}","Not used",1,"((B*f*((1 - d*x)^(1/2) - 1))/(2*((d*x + 1)^(1/2) - 1)) - (35*B*f*((1 - d*x)^(1/2) - 1)^3)/(2*((d*x + 1)^(1/2) - 1)^3) + (273*B*f*((1 - d*x)^(1/2) - 1)^5)/(2*((d*x + 1)^(1/2) - 1)^5) - (715*B*f*((1 - d*x)^(1/2) - 1)^7)/(2*((d*x + 1)^(1/2) - 1)^7) + (715*B*f*((1 - d*x)^(1/2) - 1)^9)/(2*((d*x + 1)^(1/2) - 1)^9) - (273*B*f*((1 - d*x)^(1/2) - 1)^11)/(2*((d*x + 1)^(1/2) - 1)^11) + (35*B*f*((1 - d*x)^(1/2) - 1)^13)/(2*((d*x + 1)^(1/2) - 1)^13) - (B*f*((1 - d*x)^(1/2) - 1)^15)/(2*((d*x + 1)^(1/2) - 1)^15))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^8) - (1 - d*x)^(1/2)*((2*C*f*(d*x + 1)^(1/2))/(15*d^4) - (C*f*x^4*(d*x + 1)^(1/2))/5 + (C*f*x^2*(d*x + 1)^(1/2))/(15*d^2)) + ((C*e*((1 - d*x)^(1/2) - 1))/(2*((d*x + 1)^(1/2) - 1)) - (35*C*e*((1 - d*x)^(1/2) - 1)^3)/(2*((d*x + 1)^(1/2) - 1)^3) + (273*C*e*((1 - d*x)^(1/2) - 1)^5)/(2*((d*x + 1)^(1/2) - 1)^5) - (715*C*e*((1 - d*x)^(1/2) - 1)^7)/(2*((d*x + 1)^(1/2) - 1)^7) + (715*C*e*((1 - d*x)^(1/2) - 1)^9)/(2*((d*x + 1)^(1/2) - 1)^9) - (273*C*e*((1 - d*x)^(1/2) - 1)^11)/(2*((d*x + 1)^(1/2) - 1)^11) + (35*C*e*((1 - d*x)^(1/2) - 1)^13)/(2*((d*x + 1)^(1/2) - 1)^13) - (C*e*((1 - d*x)^(1/2) - 1)^15)/(2*((d*x + 1)^(1/2) - 1)^15))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^8) - (B*f*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/(2*d^3) - (C*e*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/(2*d^3) + (A*e*x*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/2 - (A*d^(1/2)*e*log((-d)^(1/2)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2) - d^(3/2)*x))/(2*(-d)^(3/2)) + (A*f*(d^2*x^2 - 1)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/(3*d^2) + (B*e*(d^2*x^2 - 1)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/(3*d^2)","B"
4,1,361,95,7.208836,"\text{Not used}","int((1 - d*x)^(1/2)*(d*x + 1)^(1/2)*(A + B*x + C*x^2),x)","\frac{A\,x\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{2}-\frac{\frac{35\,C\,{\left(\sqrt{1-d\,x}-1\right)}^3}{2\,{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{273\,C\,{\left(\sqrt{1-d\,x}-1\right)}^5}{2\,{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{715\,C\,{\left(\sqrt{1-d\,x}-1\right)}^7}{2\,{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{715\,C\,{\left(\sqrt{1-d\,x}-1\right)}^9}{2\,{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{273\,C\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{35\,C\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{C\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{C\,\left(\sqrt{1-d\,x}-1\right)}{2\,\left(\sqrt{d\,x+1}-1\right)}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^8}-\frac{C\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{2\,d^3}-\frac{A\,\sqrt{d}\,\ln\left(\sqrt{-d}\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}-d^{3/2}\,x\right)}{2\,{\left(-d\right)}^{3/2}}+\frac{B\,\left(d^2\,x^2-1\right)\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{3\,d^2}","Not used",1,"(A*x*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/2 - ((35*C*((1 - d*x)^(1/2) - 1)^3)/(2*((d*x + 1)^(1/2) - 1)^3) - (273*C*((1 - d*x)^(1/2) - 1)^5)/(2*((d*x + 1)^(1/2) - 1)^5) + (715*C*((1 - d*x)^(1/2) - 1)^7)/(2*((d*x + 1)^(1/2) - 1)^7) - (715*C*((1 - d*x)^(1/2) - 1)^9)/(2*((d*x + 1)^(1/2) - 1)^9) + (273*C*((1 - d*x)^(1/2) - 1)^11)/(2*((d*x + 1)^(1/2) - 1)^11) - (35*C*((1 - d*x)^(1/2) - 1)^13)/(2*((d*x + 1)^(1/2) - 1)^13) + (C*((1 - d*x)^(1/2) - 1)^15)/(2*((d*x + 1)^(1/2) - 1)^15) - (C*((1 - d*x)^(1/2) - 1))/(2*((d*x + 1)^(1/2) - 1)))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^8) - (C*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/(2*d^3) - (A*d^(1/2)*log((-d)^(1/2)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2) - d^(3/2)*x))/(2*(-d)^(3/2)) + (B*(d^2*x^2 - 1)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/(3*d^2)","B"
5,1,5803,122,25.801457,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{4\,C\,e\,\mathrm{atan}\left(\frac{37748736\,C^5\,d^4\,e^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}+\frac{67108864\,C^5\,e^6\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}-\frac{100663296\,C^5\,d^2\,e^8\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}\right)}{d\,f^2}-\frac{4\,B\,\mathrm{atan}\left(\frac{67108864\,B^5\,e\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}+\frac{37748736\,B^5\,d^4\,e^5\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}-\frac{100663296\,B^5\,d^2\,e^3\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}\right)}{d\,f}-\frac{8\,C\,{\left(\sqrt{1-d\,x}-1\right)}^2}{f\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^2+\frac{2\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}\right)}-\frac{A\,\mathrm{atan}\left(\frac{f^2\,1{}\mathrm{i}-d^2\,e^2\,1{}\mathrm{i}-\frac{f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}-\frac{f\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,d\,e\,\left(\sqrt{1-d\,x}-1\right)\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}{\sqrt{d\,x+1}-1}}\right)\,2{}\mathrm{i}}{\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{C\,e^2\,\mathrm{atan}\left(\frac{\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}{\frac{131072\,C^4\,e^7}{d\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{917504\,C^4\,e^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{B\,e\,\mathrm{atan}\left(\frac{\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}{\frac{131072\,B^4\,e^3}{d}+\frac{917504\,B^4\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}\right)\,2{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}","Not used",1,"(4*C*e*atan((37748736*C^5*d^4*e^10*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2)) + (67108864*C^5*e^6*f^4*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2)) - (100663296*C^5*d^2*e^8*f^2*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2))))/(d*f^2) - (4*B*atan((67108864*B^5*e*f^4*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2)) + (37748736*B^5*d^4*e^5*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2)) - (100663296*B^5*d^2*e^3*f^2*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2))))/(d*f) - (8*C*((1 - d*x)^(1/2) - 1)^2)/(f*((d*x + 1)^(1/2) - 1)^2*(d^2 + (2*d^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (d^2*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4)) - (A*atan((f^2*1i - d^2*e^2*1i - (f^2*((1 - d*x)^(1/2) - 1)^2*1i)/((d*x + 1)^(1/2) - 1)^2 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^2*1i)/((d*x + 1)^(1/2) - 1)^2)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2) - (f*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))/((d*x + 1)^(1/2) - 1)^2 + (2*d*e*((1 - d*x)^(1/2) - 1)*(f + d*e)^(1/2)*(f - d*e)^(1/2))/((d*x + 1)^(1/2) - 1)))*2i)/((f + d*e)^(1/2)*(f - d*e)^(1/2)) - (C*e^2*atan(((C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) + (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) - (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))/((131072*C^4*e^7)/(d*f^4) + (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) + (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) - (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) - (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (917504*C^4*e^7*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))*2i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (B*e*atan(((B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))/((131072*B^4*e^3)/d + (917504*B^4*e^3*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)) - (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))*2i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))","B"
6,1,10198,163,52.172639,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^2*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{4\,C\,\mathrm{atan}\left(\frac{\left(\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(\frac{2097152\,\left(-6\,d^{10}\,e^{13}\,f+112\,d^8\,e^{11}\,f^3-532\,d^6\,e^9\,f^5+1048\,d^4\,e^7\,f^7-912\,d^2\,e^5\,f^9+288\,e^3\,f^{11}\right)}{d\,f^2\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}-\frac{33554432\,\left(3\,d^{14}\,e^{13}\,f^9-35\,d^{12}\,e^{11}\,f^{11}+130\,d^{10}\,e^9\,f^{13}-230\,d^8\,e^7\,f^{15}+215\,d^6\,e^5\,f^{17}-103\,d^4\,e^3\,f^{19}+20\,d^2\,e\,f^{21}\right)}{d^5\,f^{10}\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}+\frac{8388608\,\left(9\,d^{12}\,e^{13}\,f^5-144\,d^{10}\,e^{11}\,f^7+597\,d^8\,e^9\,f^9-1106\,d^6\,e^7\,f^{11}+1024\,d^4\,e^5\,f^{13}-452\,d^2\,e^3\,f^{15}+72\,e\,f^{17}\right)}{d^3\,f^6\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}\right)}{\sqrt{d\,x+1}-1}-\frac{33554432\,\left(-7\,d^{12}\,e^{12}\,f^9+35\,d^{10}\,e^{10}\,f^{11}-70\,d^8\,e^8\,f^{13}+70\,d^6\,e^6\,f^{15}-35\,d^4\,e^4\,f^{17}+7\,d^2\,e^2\,f^{19}\right)}{d^5\,f^{10}\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}+\frac{2097152\,\left(28\,d^8\,e^{12}\,f-168\,d^6\,e^{10}\,f^3+364\,d^4\,e^8\,f^5-336\,d^2\,e^6\,f^7+112\,e^4\,f^9\right)}{d\,f^2\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}+\frac{8388608\,\left(-35\,d^{10}\,e^{12}\,f^5+182\,d^8\,e^{10}\,f^7-371\,d^6\,e^8\,f^9+364\,d^4\,e^6\,f^{11}-168\,d^2\,e^4\,f^{13}+28\,e^2\,f^{15}\right)}{d^3\,f^6\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}\right)\,\left(d^{12}\,e^8\,f^6-4\,d^{10}\,e^6\,f^8+6\,d^8\,e^4\,f^{10}-4\,d^6\,e^2\,f^{12}+d^4\,f^{14}\right)}{37748736\,d^{12}\,e^{13}-201326592\,d^{10}\,e^{11}\,f^2+469762048\,d^8\,e^9\,f^4-637534208\,d^6\,e^7\,f^6+536870912\,d^4\,e^5\,f^8-268435456\,d^2\,e^3\,f^{10}+67108864\,e\,f^{12}}\right)}{d\,f^2}+\frac{\frac{4\,A\,f^2\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{4\,A\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{8\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}-A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}+\frac{A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{A\,d^2\,e^2\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{A\,d^4\,e^4\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{A\,d^2\,e^2\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{A\,d^4\,e^4\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}}{d^3\,e^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-d\,e^2\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{4\,e\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{4\,e\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{2\,d^3\,e^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^3\,e^4\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{2\,d\,e^2\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{4\,d^2\,e^3\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{d\,e^2\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{4\,d^2\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}}-\frac{\frac{4\,C\,d\,e\,\left(\sqrt{1-d\,x}-1\right)}{\left(f^2-d^2\,e^2\right)\,\left(\sqrt{d\,x+1}-1\right)}-\frac{4\,C\,d\,e\,{\left(\sqrt{1-d\,x}-1\right)}^3}{\left(f^2-d^2\,e^2\right)\,{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{8\,C\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{f\,\left(f^2-d^2\,e^2\right)\,{\left(\sqrt{d\,x+1}-1\right)}^2}}{d^2\,e+\frac{4\,d\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{4\,d\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{2\,d^2\,e\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,e\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}}-\frac{\frac{4\,B\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}+\frac{B\,f^4\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}-\frac{4\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{B\,f^4\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{B\,d^2\,e^2\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{8\,B\,d\,e\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,d^2\,e^2\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}+\frac{B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}}{d^3\,e^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{4\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-d\,e\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{4\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{2\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{4\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{2\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}}+\frac{\ln\left(16\,f^{15}-9\,d^{14}\,e^{14}\,f-\frac{16\,f^{15}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-92\,d^2\,e^2\,f^{13}+236\,d^4\,e^4\,f^{11}-352\,d^6\,e^6\,f^9+329\,d^8\,e^8\,f^7-191\,d^{10}\,e^{10}\,f^5+63\,d^{12}\,e^{12}\,f^3+16\,f^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+12\,d^6\,e^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+15\,d^{12}\,e^{12}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{6\,d^{15}\,e^{15}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{16\,d\,e\,f^{14}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{92\,d^2\,e^2\,f^{13}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{236\,d^4\,e^4\,f^{11}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{352\,d^6\,e^6\,f^9\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{329\,d^8\,e^8\,f^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{191\,d^{10}\,e^{10}\,f^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{63\,d^{12}\,e^{12}\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{16\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-24\,d^2\,e^2\,f^{10}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+120\,d^4\,e^4\,f^8\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-228\,d^6\,e^6\,f^6\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+4\,d^2\,e^2\,f^4\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+207\,d^8\,e^8\,f^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-28\,d^4\,e^4\,f^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}-90\,d^{10}\,e^{10}\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{88\,d^3\,e^3\,f^{12}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{216\,d^5\,e^5\,f^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{308\,d^7\,e^7\,f^8\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{274\,d^9\,e^9\,f^6\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{150\,d^{11}\,e^{11}\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{46\,d^{13}\,e^{13}\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{9\,d^{14}\,e^{14}\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{48\,d^6\,e^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^{12}\,e^{12}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{376\,d^3\,e^3\,f^9\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{688\,d^5\,e^5\,f^7\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{612\,d^7\,e^7\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{152\,d^3\,e^3\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{264\,d^9\,e^9\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{80\,d\,e\,f^{11}\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{96\,d\,e\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{136\,d^2\,e^2\,f^{10}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{560\,d^4\,e^4\,f^8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{912\,d^6\,e^6\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{156\,d^2\,e^2\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{733\,d^8\,e^8\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{172\,d^4\,e^4\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{290\,d^{10}\,e^{10}\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{56\,d^5\,e^5\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}+\frac{44\,d^{11}\,e^{11}\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}\right)\,\left(C\,d^2\,e^3-2\,C\,e\,f^2\right)}{f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}+\frac{C\,e\,\ln\left(9\,d^{14}\,e^{14}\,f-16\,f^{15}+\frac{16\,f^{15}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+92\,d^2\,e^2\,f^{13}-236\,d^4\,e^4\,f^{11}+352\,d^6\,e^6\,f^9-329\,d^8\,e^8\,f^7+191\,d^{10}\,e^{10}\,f^5-63\,d^{12}\,e^{12}\,f^3+16\,f^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+12\,d^6\,e^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+15\,d^{12}\,e^{12}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{6\,d^{15}\,e^{15}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{16\,d\,e\,f^{14}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{92\,d^2\,e^2\,f^{13}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{236\,d^4\,e^4\,f^{11}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{352\,d^6\,e^6\,f^9\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{329\,d^8\,e^8\,f^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{191\,d^{10}\,e^{10}\,f^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{63\,d^{12}\,e^{12}\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{16\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-24\,d^2\,e^2\,f^{10}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+120\,d^4\,e^4\,f^8\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-228\,d^6\,e^6\,f^6\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+4\,d^2\,e^2\,f^4\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+207\,d^8\,e^8\,f^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-28\,d^4\,e^4\,f^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}-90\,d^{10}\,e^{10}\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{88\,d^3\,e^3\,f^{12}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{216\,d^5\,e^5\,f^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{308\,d^7\,e^7\,f^8\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{274\,d^9\,e^9\,f^6\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{150\,d^{11}\,e^{11}\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{46\,d^{13}\,e^{13}\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{9\,d^{14}\,e^{14}\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{48\,d^6\,e^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^{12}\,e^{12}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{376\,d^3\,e^3\,f^9\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{688\,d^5\,e^5\,f^7\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{612\,d^7\,e^7\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{152\,d^3\,e^3\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{264\,d^9\,e^9\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{80\,d\,e\,f^{11}\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{96\,d\,e\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{136\,d^2\,e^2\,f^{10}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{560\,d^4\,e^4\,f^8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{912\,d^6\,e^6\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{156\,d^2\,e^2\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{733\,d^8\,e^8\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{172\,d^4\,e^4\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{290\,d^{10}\,e^{10}\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{56\,d^5\,e^5\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}+\frac{44\,d^{11}\,e^{11}\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}\right)\,\left(2\,f^2-d^2\,e^2\right)}{f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}","Not used",1,"(A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i + (4*A*f^2*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 - (4*A*f^2*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - (A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (A*d^2*e^2*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - (A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 + (A*d^4*e^4*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) - (A*d^2*e^2*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) - (A*d^4*e^4*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 + (8*A*d*e*f*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2)/(d^3*e^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - d*e^2*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (4*e*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (4*e*f^3*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (2*d^3*e^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (d^3*e^4*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 - (2*d*e^2*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (4*d^2*e^3*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - (d*e^2*f^2*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 + (4*d^2*e^3*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)) - (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - (B*f^4*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) + (B*f^4*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - (4*B*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (4*B*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (B*d^2*e^2*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - (B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 - (B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 + (8*B*d*e*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (B*d^2*e^2*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) + (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4)/(d^3*e^3*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (4*f^3*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - d*e*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (4*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (2*d^3*e^3*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (d^3*e^3*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 - (4*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (4*d^2*e^2*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (2*d*e*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (d*e*f^2*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4) - ((4*C*d*e*((1 - d*x)^(1/2) - 1))/((f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)) - (4*C*d*e*((1 - d*x)^(1/2) - 1)^3)/((f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)^3) + (8*C*d^2*e^2*((1 - d*x)^(1/2) - 1)^2)/(f*(f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)^2))/(d^2*e + (4*d*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (4*d*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (2*d^2*e*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (d^2*e*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4) + (4*C*atan((((((1 - d*x)^(1/2) - 1)*((2097152*(288*e^3*f^11 - 6*d^10*e^13*f - 912*d^2*e^5*f^9 + 1048*d^4*e^7*f^7 - 532*d^6*e^9*f^5 + 112*d^8*e^11*f^3))/(d*f^2*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5)) - (33554432*(20*d^2*e*f^21 - 103*d^4*e^3*f^19 + 215*d^6*e^5*f^17 - 230*d^8*e^7*f^15 + 130*d^10*e^9*f^13 - 35*d^12*e^11*f^11 + 3*d^14*e^13*f^9))/(d^5*f^10*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5)) + (8388608*(72*e*f^17 - 452*d^2*e^3*f^15 + 1024*d^4*e^5*f^13 - 1106*d^6*e^7*f^11 + 597*d^8*e^9*f^9 - 144*d^10*e^11*f^7 + 9*d^12*e^13*f^5))/(d^3*f^6*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5))))/((d*x + 1)^(1/2) - 1) - (33554432*(7*d^2*e^2*f^19 - 35*d^4*e^4*f^17 + 70*d^6*e^6*f^15 - 70*d^8*e^8*f^13 + 35*d^10*e^10*f^11 - 7*d^12*e^12*f^9))/(d^5*f^10*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)) + (2097152*(112*e^4*f^9 + 28*d^8*e^12*f - 336*d^2*e^6*f^7 + 364*d^4*e^8*f^5 - 168*d^6*e^10*f^3))/(d*f^2*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)) + (8388608*(28*e^2*f^15 - 168*d^2*e^4*f^13 + 364*d^4*e^6*f^11 - 371*d^6*e^8*f^9 + 182*d^8*e^10*f^7 - 35*d^10*e^12*f^5))/(d^3*f^6*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)))*(d^4*f^14 - 4*d^6*e^2*f^12 + 6*d^8*e^4*f^10 - 4*d^10*e^6*f^8 + d^12*e^8*f^6))/(67108864*e*f^12 + 37748736*d^12*e^13 - 268435456*d^2*e^3*f^10 + 536870912*d^4*e^5*f^8 - 637534208*d^6*e^7*f^6 + 469762048*d^8*e^9*f^4 - 201326592*d^10*e^11*f^2)))/(d*f^2) + (log(16*f^15 - 9*d^14*e^14*f - (16*f^15*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - 92*d^2*e^2*f^13 + 236*d^4*e^4*f^11 - 352*d^6*e^6*f^9 + 329*d^8*e^8*f^7 - 191*d^10*e^10*f^5 + 63*d^12*e^12*f^3 + 16*f^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 12*d^6*e^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 15*d^12*e^12*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (6*d^15*e^15*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (16*d*e*f^14*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (92*d^2*e^2*f^13*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (236*d^4*e^4*f^11*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (352*d^6*e^6*f^9*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (329*d^8*e^8*f^7*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (191*d^10*e^10*f^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (63*d^12*e^12*f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (16*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - 24*d^2*e^2*f^10*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 120*d^4*e^4*f^8*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 228*d^6*e^6*f^6*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 4*d^2*e^2*f^4*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 207*d^8*e^8*f^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 28*d^4*e^4*f^2*(f + d*e)^(9/2)*(f - d*e)^(9/2) - 90*d^10*e^10*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (88*d^3*e^3*f^12*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (216*d^5*e^5*f^10*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (308*d^7*e^7*f^8*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (274*d^9*e^9*f^6*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (150*d^11*e^11*f^4*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (46*d^13*e^13*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (9*d^14*e^14*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (48*d^6*e^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (45*d^12*e^12*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (376*d^3*e^3*f^9*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (688*d^5*e^5*f^7*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (612*d^7*e^7*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (152*d^3*e^3*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (264*d^9*e^9*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (80*d*e*f^11*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (96*d*e*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (136*d^2*e^2*f^10*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (560*d^4*e^4*f^8*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (912*d^6*e^6*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (156*d^2*e^2*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (733*d^8*e^8*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (172*d^4*e^4*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - (290*d^10*e^10*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (56*d^5*e^5*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) + (44*d^11*e^11*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1))*(C*d^2*e^3 - 2*C*e*f^2))/(f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)) + (C*e*log(9*d^14*e^14*f - 16*f^15 + (16*f^15*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + 92*d^2*e^2*f^13 - 236*d^4*e^4*f^11 + 352*d^6*e^6*f^9 - 329*d^8*e^8*f^7 + 191*d^10*e^10*f^5 - 63*d^12*e^12*f^3 + 16*f^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 12*d^6*e^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 15*d^12*e^12*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (6*d^15*e^15*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (16*d*e*f^14*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (92*d^2*e^2*f^13*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (236*d^4*e^4*f^11*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (352*d^6*e^6*f^9*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (329*d^8*e^8*f^7*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (191*d^10*e^10*f^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (63*d^12*e^12*f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (16*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - 24*d^2*e^2*f^10*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 120*d^4*e^4*f^8*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 228*d^6*e^6*f^6*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 4*d^2*e^2*f^4*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 207*d^8*e^8*f^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 28*d^4*e^4*f^2*(f + d*e)^(9/2)*(f - d*e)^(9/2) - 90*d^10*e^10*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (88*d^3*e^3*f^12*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (216*d^5*e^5*f^10*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (308*d^7*e^7*f^8*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (274*d^9*e^9*f^6*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (150*d^11*e^11*f^4*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (46*d^13*e^13*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (9*d^14*e^14*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (48*d^6*e^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (45*d^12*e^12*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (376*d^3*e^3*f^9*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (688*d^5*e^5*f^7*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (612*d^7*e^7*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (152*d^3*e^3*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (264*d^9*e^9*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (80*d*e*f^11*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (96*d*e*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (136*d^2*e^2*f^10*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (560*d^4*e^4*f^8*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (912*d^6*e^6*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (156*d^2*e^2*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (733*d^8*e^8*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (172*d^4*e^4*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - (290*d^10*e^10*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (56*d^5*e^5*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) + (44*d^11*e^11*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1))*(2*f^2 - d^2*e^2))/(f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))","B"
7,1,9097,248,59.182021,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^3*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{12\,\left(C\,d^2\,e^2\,f+2\,C\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{24\,\left(2\,C\,f^3-C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{12\,\left(C\,d^2\,e^2\,f+2\,C\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(C\,d^3\,e^3+2\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(7\,C\,d^3\,e^3-34\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(7\,C\,d^3\,e^3-34\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,d\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(C\,d^2\,e^2+2\,C\,f^2\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}+\frac{\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,A\,d^4\,e^4\,f+7\,A\,d^2\,e^2\,f^3-2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(4\,A\,d^4\,e^4\,f-9\,A\,d^2\,e^2\,f^3+2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,A\,d^4\,e^4\,f+7\,A\,d^2\,e^2\,f^3-2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(2\,A\,d\,f^3-5\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(2\,A\,d\,f^3-29\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(2\,A\,d\,f^3-29\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,d\,f\,\left(2\,A\,f^3-5\,A\,d^2\,e^2\,f\right)\,\left(\sqrt{1-d\,x}-1\right)}{e\,\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}-\frac{\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(2\,B\,d^4\,e^4+5\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(-2\,B\,d^4\,e^4+3\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(2\,B\,d^4\,e^4+5\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,\left(11\,B\,d^3\,e^2+16\,B\,d\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,f\,\left(11\,B\,d^3\,e^2+16\,B\,d\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{6\,B\,d^3\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{6\,B\,d^3\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}+\frac{C\,\mathrm{atan}\left(\frac{\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{8\,\left(C^2\,d^5\,e^5+4\,C^2\,d^3\,e^3\,f^2+4\,C^2\,d\,e\,f^4\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(C^2\,d^5\,e^5+4\,C^2\,d^3\,e^3\,f^2+4\,C^2\,d\,e\,f^4\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}\right)\,\left(d^2\,e^2+2\,f^2\right)\,1{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{A\,d^2\,\mathrm{atan}\left(\frac{\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{8\,\left(4\,A^2\,d^9\,e^5+4\,A^2\,d^7\,e^3\,f^2+A^2\,d^5\,e\,f^4\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,A^2\,d^9\,e^5+4\,A^2\,d^7\,e^3\,f^2+A^2\,d^5\,e\,f^4\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}\right)\,\left(2\,d^2\,e^2+f^2\right)\,1{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{B\,d^2\,e\,f\,\mathrm{atan}\left(\frac{\frac{B\,d^2\,e\,f\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{B\,d^2\,e\,f\,\left(\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{72\,B^2\,d^5\,e^3\,f^2}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{72\,B^2\,d^5\,e^3\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}}\right)\,3{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}","Not used",1,"((12*(2*C*f^3 + C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^2)/(((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (24*(2*C*f^3 - C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^4)/(((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (12*(2*C*f^3 + C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/(((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*((1 - d*x)^(1/2) - 1)^7*(C*d^3*e^3 + 2*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*((1 - d*x)^(1/2) - 1)^3*(7*C*d^3*e^3 - 34*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*((1 - d*x)^(1/2) - 1)^5*(7*C*d^3*e^3 - 34*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*d*e*((1 - d*x)^(1/2) - 1)*(2*C*f^2 + C*d^2*e^2))/(((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) + ((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^4*e^4*f - 2*A*f^5 + 7*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (8*((1 - d*x)^(1/2) - 1)^4*(2*A*f^5 + 4*A*d^4*e^4*f - 9*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (4*((1 - d*x)^(1/2) - 1)^6*(4*A*d^4*e^4*f - 2*A*f^5 + 7*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*((1 - d*x)^(1/2) - 1)^7*(2*A*d*f^3 - 5*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*f*((1 - d*x)^(1/2) - 1)^3*(2*A*d*f^3 - 29*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*((1 - d*x)^(1/2) - 1)^5*(2*A*d*f^3 - 29*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*d*f*(2*A*f^3 - 5*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1))/(e*((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) - ((4*((1 - d*x)^(1/2) - 1)^2*(2*B*f^4 + 2*B*d^4*e^4 + 5*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (8*((1 - d*x)^(1/2) - 1)^4*(2*B*f^4 - 2*B*d^4*e^4 + 3*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (4*((1 - d*x)^(1/2) - 1)^6*(2*B*f^4 + 2*B*d^4*e^4 + 5*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*(11*B*d^3*e^2 + 16*B*d*f^2)*((1 - d*x)^(1/2) - 1)^3)/(((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*f*(11*B*d^3*e^2 + 16*B*d*f^2)*((1 - d*x)^(1/2) - 1)^5)/(((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (6*B*d^3*e^2*f*((1 - d*x)^(1/2) - 1)^7)/(((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (6*B*d^3*e^2*f*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) + (C*atan(((C*(2*f^2 + d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (C*(2*f^2 + d^2*e^2)*((4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((8*(C^2*d^5*e^5 + 4*C^2*d^3*e^3*f^2 + 4*C^2*d*e*f^4))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (8*((1 - d*x)^(1/2) - 1)^2*(C^2*d^5*e^5 + 4*C^2*d^3*e^3*f^2 + 4*C^2*d*e*f^4))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (C*(2*f^2 + d^2*e^2)*((4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))*(2*f^2 + d^2*e^2)*1i)/((f + d*e)^(5/2)*(f - d*e)^(5/2)) + (A*d^2*atan(((A*d^2*(f^2 + 2*d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((8*(4*A^2*d^9*e^5 + 4*A^2*d^7*e^3*f^2 + A^2*d^5*e*f^4))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (8*((1 - d*x)^(1/2) - 1)^2*(4*A^2*d^9*e^5 + 4*A^2*d^7*e^3*f^2 + A^2*d^5*e*f^4))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))*(f^2 + 2*d^2*e^2)*1i)/((f + d*e)^(5/2)*(f - d*e)^(5/2)) - (B*d^2*e*f*atan(((B*d^2*e*f*((4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*3i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (B*d^2*e*f*((4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*3i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((72*B^2*d^5*e^3*f^2)/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (3*B*d^2*e*f*((4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (72*B^2*d^5*e^3*f^2*((1 - d*x)^(1/2) - 1)^2)/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2))))*3i)/((f + d*e)^(5/2)*(f - d*e)^(5/2))","B"
8,1,2606,340,35.294689,"\text{Not used}","int(((e + f*x)^3*(A + B*x + C*x^2))/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\frac{\left(640\,C\,d^2\,e^2\,f+\frac{2048\,C\,f^3}{3}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{\left(640\,C\,d^2\,e^2\,f+\frac{2048\,C\,f^3}{3}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}-\frac{\left(\frac{4096\,C\,f^3}{3}-832\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{\left(\frac{4096\,C\,f^3}{3}-832\,C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{\left(768\,C\,d^2\,e^2\,f+\frac{12288\,C\,f^3}{5}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(2\,C\,d^3\,e^3-\frac{87\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{17}\,\left(2\,C\,d^3\,e^3-\frac{87\,C\,d\,e\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{17}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(88\,C\,d^3\,e^3-42\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(88\,C\,d^3\,e^3-42\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(40\,C\,d^3\,e^3+426\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(40\,C\,d^3\,e^3+426\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(52\,C\,d^3\,e^3-507\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(52\,C\,d^3\,e^3-507\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{d\,\left(4\,C\,d^2\,e^3+9\,C\,e\,f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{d\,\left(4\,C\,d^2\,e^3+9\,C\,e\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{19}}{2\,{\left(\sqrt{d\,x+1}-1\right)}^{19}}+\frac{192\,C\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{192\,C\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}}{d^6+\frac{10\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{120\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{210\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{252\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{210\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{120\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{45\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}+\frac{10\,d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{18}}{{\left(\sqrt{d\,x+1}-1\right)}^{18}}+\frac{d^6\,{\left(\sqrt{1-d\,x}-1\right)}^{20}}{{\left(\sqrt{d\,x+1}-1\right)}^{20}}}-\frac{\frac{\left(96\,A\,d^2\,e^2\,f+64\,A\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{\left(96\,A\,d^2\,e^2\,f+64\,A\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{\left(\frac{128\,A\,f^3}{3}-144\,A\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{24\,A\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{24\,A\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}-\frac{6\,A\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{30\,A\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{36\,A\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{36\,A\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{30\,A\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^9}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{6\,A\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}}{d^4+\frac{6\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{15\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{20\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{15\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{6\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}}-\frac{\frac{\left(6\,B\,d^2\,e^2\,f+\frac{3\,B\,f^3}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{15}}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{\left(\frac{23\,B\,f^3}{2}-18\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{\left(\frac{23\,B\,f^3}{2}-18\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{13}}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{\left(90\,B\,d^2\,e^2\,f+\frac{333\,B\,f^3}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{\left(90\,B\,d^2\,e^2\,f+\frac{333\,B\,f^3}{2}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{\left(\frac{671\,B\,f^3}{2}-66\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{\left(\frac{671\,B\,f^3}{2}-66\,B\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^9}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(48\,B\,d^3\,e^3+192\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{12}\,\left(48\,B\,d^3\,e^3+192\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^8\,\left(160\,B\,d^3\,e^3+128\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(120\,B\,d^3\,e^3+256\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{10}\,\left(120\,B\,d^3\,e^3+256\,B\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}-\frac{\left(6\,B\,d^2\,e^2\,f+\frac{3\,B\,f^3}{2}\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{8\,B\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{8\,B\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}}{d^5+\frac{8\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{28\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{56\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{70\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{56\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{28\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{8\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}}-\frac{3\,B\,f\,\mathrm{atan}\left(\frac{B\,f\,\left(4\,d^2\,e^2+f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{\left(4\,B\,d^2\,e^2\,f+B\,f^3\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(4\,d^2\,e^2+f^2\right)}{2\,d^5}-\frac{2\,A\,e\,\mathrm{atan}\left(\frac{A\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(2\,d^2\,e^2+3\,f^2\right)}{\left(2\,A\,d^2\,e^3+3\,A\,e\,f^2\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(2\,d^2\,e^2+3\,f^2\right)}{d^3}-\frac{C\,e\,\mathrm{atan}\left(\frac{C\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(4\,d^2\,e^2+9\,f^2\right)}{\left(4\,C\,d^2\,e^3+9\,C\,e\,f^2\right)\,\left(\sqrt{d\,x+1}-1\right)}\right)\,\left(4\,d^2\,e^2+9\,f^2\right)}{2\,d^5}","Not used",1,"- ((((2048*C*f^3)/3 + 640*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (((2048*C*f^3)/3 + 640*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 - (((4096*C*f^3)/3 - 832*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 - (((4096*C*f^3)/3 - 832*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (((12288*C*f^3)/5 + 768*C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (((1 - d*x)^(1/2) - 1)^3*(2*C*d^3*e^3 - (87*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^3 - (((1 - d*x)^(1/2) - 1)^17*(2*C*d^3*e^3 - (87*C*d*e*f^2)/2))/((d*x + 1)^(1/2) - 1)^17 + (((1 - d*x)^(1/2) - 1)^7*(88*C*d^3*e^3 - 42*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^7 - (((1 - d*x)^(1/2) - 1)^13*(88*C*d^3*e^3 - 42*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^13 + (((1 - d*x)^(1/2) - 1)^5*(40*C*d^3*e^3 + 426*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^5 - (((1 - d*x)^(1/2) - 1)^15*(40*C*d^3*e^3 + 426*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^15 + (((1 - d*x)^(1/2) - 1)^9*(52*C*d^3*e^3 - 507*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^9 - (((1 - d*x)^(1/2) - 1)^11*(52*C*d^3*e^3 - 507*C*d*e*f^2))/((d*x + 1)^(1/2) - 1)^11 - (d*(4*C*d^2*e^3 + 9*C*e*f^2)*((1 - d*x)^(1/2) - 1))/(2*((d*x + 1)^(1/2) - 1)) + (d*(4*C*d^2*e^3 + 9*C*e*f^2)*((1 - d*x)^(1/2) - 1)^19)/(2*((d*x + 1)^(1/2) - 1)^19) + (192*C*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (192*C*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16)/(d^6 + (10*d^6*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (45*d^6*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (120*d^6*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (210*d^6*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (252*d^6*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (210*d^6*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (120*d^6*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (45*d^6*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16 + (10*d^6*((1 - d*x)^(1/2) - 1)^18)/((d*x + 1)^(1/2) - 1)^18 + (d^6*((1 - d*x)^(1/2) - 1)^20)/((d*x + 1)^(1/2) - 1)^20) - (((64*A*f^3 + 96*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + ((64*A*f^3 + 96*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 - (((128*A*f^3)/3 - 144*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (24*A*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (24*A*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 - (6*A*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (30*A*d*e*f^2*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (36*A*d*e*f^2*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (36*A*d*e*f^2*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (30*A*d*e*f^2*((1 - d*x)^(1/2) - 1)^9)/((d*x + 1)^(1/2) - 1)^9 + (6*A*d*e*f^2*((1 - d*x)^(1/2) - 1)^11)/((d*x + 1)^(1/2) - 1)^11)/(d^4 + (6*d^4*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (15*d^4*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (20*d^4*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (15*d^4*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (6*d^4*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (d^4*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12) - ((((3*B*f^3)/2 + 6*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^15)/((d*x + 1)^(1/2) - 1)^15 - (((23*B*f^3)/2 - 18*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (((23*B*f^3)/2 - 18*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^13)/((d*x + 1)^(1/2) - 1)^13 + (((333*B*f^3)/2 + 90*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (((333*B*f^3)/2 + 90*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^11)/((d*x + 1)^(1/2) - 1)^11 - (((671*B*f^3)/2 - 66*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (((671*B*f^3)/2 - 66*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^9)/((d*x + 1)^(1/2) - 1)^9 + (((1 - d*x)^(1/2) - 1)^4*(48*B*d^3*e^3 + 192*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^4 + (((1 - d*x)^(1/2) - 1)^12*(48*B*d^3*e^3 + 192*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^12 + (((1 - d*x)^(1/2) - 1)^8*(160*B*d^3*e^3 + 128*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^8 + (((1 - d*x)^(1/2) - 1)^6*(120*B*d^3*e^3 + 256*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^6 + (((1 - d*x)^(1/2) - 1)^10*(120*B*d^3*e^3 + 256*B*d*e*f^2))/((d*x + 1)^(1/2) - 1)^10 - (((3*B*f^3)/2 + 6*B*d^2*e^2*f)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (8*B*d^3*e^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (8*B*d^3*e^3*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14)/(d^5 + (8*d^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (28*d^5*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (56*d^5*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (70*d^5*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (56*d^5*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (28*d^5*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (8*d^5*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (d^5*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16) - (3*B*f*atan((B*f*(f^2 + 4*d^2*e^2)*((1 - d*x)^(1/2) - 1))/((B*f^3 + 4*B*d^2*e^2*f)*((d*x + 1)^(1/2) - 1)))*(f^2 + 4*d^2*e^2))/(2*d^5) - (2*A*e*atan((A*e*((1 - d*x)^(1/2) - 1)*(3*f^2 + 2*d^2*e^2))/((2*A*d^2*e^3 + 3*A*e*f^2)*((d*x + 1)^(1/2) - 1)))*(3*f^2 + 2*d^2*e^2))/d^3 - (C*e*atan((C*e*((1 - d*x)^(1/2) - 1)*(9*f^2 + 4*d^2*e^2))/((4*C*d^2*e^3 + 9*C*e*f^2)*((d*x + 1)^(1/2) - 1)))*(9*f^2 + 4*d^2*e^2))/(2*d^5)","B"
9,1,1732,228,33.636413,"\text{Not used}","int(((e + f*x)^2*(A + B*x + C*x^2))/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\frac{14\,A\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{2\,A\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{14\,A\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,A\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{16\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{32\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{16\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}{d^3+\frac{4\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{6\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{4\,d^3\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{d^3\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}}-\frac{\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,B\,d^2\,e^2+64\,B\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^8\,\left(32\,B\,d^2\,e^2+64\,B\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^8}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(\frac{128\,B\,f^2}{3}-48\,B\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{8\,B\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{8\,B\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{20\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{24\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{24\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{20\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^9}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{4\,B\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{11}}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{4\,B\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^4+\frac{6\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{15\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{20\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{15\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{6\,d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{d^4\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}}-\frac{\frac{{\left(\sqrt{1-d\,x}-1\right)}^{15}\,\left(2\,C\,d^2\,e^2+\frac{3\,C\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{15}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(\frac{23\,C\,f^2}{2}-6\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(2\,C\,d^2\,e^2+\frac{3\,C\,f^2}{2}\right)}{\sqrt{d\,x+1}-1}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^{13}\,\left(\frac{23\,C\,f^2}{2}-6\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{13}}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(30\,C\,d^2\,e^2+\frac{333\,C\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^{11}\,\left(30\,C\,d^2\,e^2+\frac{333\,C\,f^2}{2}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^{11}}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(\frac{671\,C\,f^2}{2}-22\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^9\,\left(\frac{671\,C\,f^2}{2}-22\,C\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^9}+\frac{128\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{512\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^6}{3\,{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{256\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^8}{3\,{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{512\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{3\,{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{128\,C\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}}{d^5+\frac{8\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{28\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{56\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{70\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{56\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{10}}{{\left(\sqrt{d\,x+1}-1\right)}^{10}}+\frac{28\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{12}}{{\left(\sqrt{d\,x+1}-1\right)}^{12}}+\frac{8\,d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{14}}{{\left(\sqrt{d\,x+1}-1\right)}^{14}}+\frac{d^5\,{\left(\sqrt{1-d\,x}-1\right)}^{16}}{{\left(\sqrt{d\,x+1}-1\right)}^{16}}}-\frac{C\,\mathrm{atan}\left(\frac{C\,\left(\sqrt{1-d\,x}-1\right)\,\left(4\,d^2\,e^2+3\,f^2\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(4\,C\,d^2\,e^2+3\,C\,f^2\right)}\right)\,\left(4\,d^2\,e^2+3\,f^2\right)}{2\,d^5}-\frac{2\,A\,\mathrm{atan}\left(\frac{A\,\left(2\,d^2\,e^2+f^2\right)\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(2\,A\,d^2\,e^2+A\,f^2\right)}\right)\,\left(2\,d^2\,e^2+f^2\right)}{d^3}-\frac{4\,B\,e\,f\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}","Not used",1,"- ((14*A*f^2*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (2*A*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (14*A*f^2*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*A*f^2*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (16*A*d*e*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (32*A*d*e*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (16*A*d*e*f*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6)/(d^3 + (4*d^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (6*d^3*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (4*d^3*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (d^3*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8) - ((((1 - d*x)^(1/2) - 1)^4*(64*B*f^2 + 32*B*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (((1 - d*x)^(1/2) - 1)^8*(64*B*f^2 + 32*B*d^2*e^2))/((d*x + 1)^(1/2) - 1)^8 - (((1 - d*x)^(1/2) - 1)^6*((128*B*f^2)/3 - 48*B*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 + (8*B*d^2*e^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (8*B*d^2*e^2*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (20*B*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (24*B*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (24*B*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (20*B*d*e*f*((1 - d*x)^(1/2) - 1)^9)/((d*x + 1)^(1/2) - 1)^9 + (4*B*d*e*f*((1 - d*x)^(1/2) - 1)^11)/((d*x + 1)^(1/2) - 1)^11 - (4*B*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^4 + (6*d^4*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (15*d^4*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (20*d^4*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (15*d^4*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (6*d^4*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (d^4*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12) - ((((1 - d*x)^(1/2) - 1)^15*((3*C*f^2)/2 + 2*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^15 - (((1 - d*x)^(1/2) - 1)^3*((23*C*f^2)/2 - 6*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^3 - (((1 - d*x)^(1/2) - 1)*((3*C*f^2)/2 + 2*C*d^2*e^2))/((d*x + 1)^(1/2) - 1) + (((1 - d*x)^(1/2) - 1)^13*((23*C*f^2)/2 - 6*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^13 + (((1 - d*x)^(1/2) - 1)^5*((333*C*f^2)/2 + 30*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^5 - (((1 - d*x)^(1/2) - 1)^11*((333*C*f^2)/2 + 30*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^11 - (((1 - d*x)^(1/2) - 1)^7*((671*C*f^2)/2 - 22*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^7 + (((1 - d*x)^(1/2) - 1)^9*((671*C*f^2)/2 - 22*C*d^2*e^2))/((d*x + 1)^(1/2) - 1)^9 + (128*C*d*e*f*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (512*C*d*e*f*((1 - d*x)^(1/2) - 1)^6)/(3*((d*x + 1)^(1/2) - 1)^6) + (256*C*d*e*f*((1 - d*x)^(1/2) - 1)^8)/(3*((d*x + 1)^(1/2) - 1)^8) + (512*C*d*e*f*((1 - d*x)^(1/2) - 1)^10)/(3*((d*x + 1)^(1/2) - 1)^10) + (128*C*d*e*f*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12)/(d^5 + (8*d^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (28*d^5*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (56*d^5*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6 + (70*d^5*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (56*d^5*((1 - d*x)^(1/2) - 1)^10)/((d*x + 1)^(1/2) - 1)^10 + (28*d^5*((1 - d*x)^(1/2) - 1)^12)/((d*x + 1)^(1/2) - 1)^12 + (8*d^5*((1 - d*x)^(1/2) - 1)^14)/((d*x + 1)^(1/2) - 1)^14 + (d^5*((1 - d*x)^(1/2) - 1)^16)/((d*x + 1)^(1/2) - 1)^16) - (C*atan((C*((1 - d*x)^(1/2) - 1)*(3*f^2 + 4*d^2*e^2))/(((d*x + 1)^(1/2) - 1)*(3*C*f^2 + 4*C*d^2*e^2)))*(3*f^2 + 4*d^2*e^2))/(2*d^5) - (2*A*atan((A*(f^2 + 2*d^2*e^2)*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(A*f^2 + 2*A*d^2*e^2)))*(f^2 + 2*d^2*e^2))/d^3 - (4*B*e*f*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3","B"
10,1,492,130,12.856554,"\text{Not used}","int(((e + f*x)*(A + B*x + C*x^2))/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{2\,B\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{14\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{2\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}-\frac{\sqrt{1-d\,x}\,\left(\frac{2\,C\,f}{3\,d^4}+\frac{2\,C\,f\,x}{3\,d^3}+\frac{C\,f\,x^3}{3\,d}+\frac{C\,f\,x^2}{3\,d^2}\right)}{\sqrt{d\,x+1}}+\frac{\frac{2\,C\,e\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{14\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{2\,C\,e\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}-\frac{\left(\frac{A\,f}{d^2}+\frac{A\,f\,x}{d}\right)\,\sqrt{1-d\,x}}{\sqrt{d\,x+1}}-\frac{\left(\frac{B\,e}{d^2}+\frac{B\,e\,x}{d}\right)\,\sqrt{1-d\,x}}{\sqrt{d\,x+1}}-\frac{4\,A\,e\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{2\,B\,f\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{2\,C\,e\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}","Not used",1,"((2*B*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (14*B*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*B*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (2*B*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7)/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4) - ((1 - d*x)^(1/2)*((2*C*f)/(3*d^4) + (2*C*f*x)/(3*d^3) + (C*f*x^3)/(3*d) + (C*f*x^2)/(3*d^2)))/(d*x + 1)^(1/2) + ((2*C*e*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (14*C*e*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*C*e*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (2*C*e*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7)/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4) - (((A*f)/d^2 + (A*f*x)/d)*(1 - d*x)^(1/2))/(d*x + 1)^(1/2) - (((B*e)/d^2 + (B*e*x)/d)*(1 - d*x)^(1/2))/(d*x + 1)^(1/2) - (4*A*e*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (2*B*f*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - (2*C*e*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3","B"
11,1,232,63,7.525390,"\text{Not used}","int((A + B*x + C*x^2)/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\frac{14\,C\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{14\,C\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,C\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{2\,C\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}-\frac{4\,A\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{2\,C\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\sqrt{1-d\,x}\,\left(\frac{B}{d^2}+\frac{B\,x}{d}\right)}{\sqrt{d\,x+1}}","Not used",1,"- ((14*C*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (14*C*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*C*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (2*C*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4) - (4*A*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (2*C*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - ((1 - d*x)^(1/2)*(B/d^2 + (B*x)/d))/(d*x + 1)^(1/2)","B"
12,1,5803,122,0.005181,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{4\,C\,e\,\mathrm{atan}\left(\frac{37748736\,C^5\,d^4\,e^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}+\frac{67108864\,C^5\,e^6\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}-\frac{100663296\,C^5\,d^2\,e^8\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,C^5\,d^4\,e^{10}-100663296\,C^5\,d^2\,e^8\,f^2+67108864\,C^5\,e^6\,f^4\right)}\right)}{d\,f^2}-\frac{4\,B\,\mathrm{atan}\left(\frac{67108864\,B^5\,e\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}+\frac{37748736\,B^5\,d^4\,e^5\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}-\frac{100663296\,B^5\,d^2\,e^3\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(37748736\,B^5\,d^4\,e^5-100663296\,B^5\,d^2\,e^3\,f^2+67108864\,B^5\,e\,f^4\right)}\right)}{d\,f}-\frac{8\,C\,{\left(\sqrt{1-d\,x}-1\right)}^2}{f\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^2+\frac{2\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}\right)}-\frac{A\,\mathrm{atan}\left(\frac{f^2\,1{}\mathrm{i}-d^2\,e^2\,1{}\mathrm{i}-\frac{f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}-\frac{f\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,d\,e\,\left(\sqrt{1-d\,x}-1\right)\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}{\sqrt{d\,x+1}-1}}\right)\,2{}\mathrm{i}}{\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{C\,e^2\,\mathrm{atan}\left(\frac{\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}{\frac{131072\,C^4\,e^7}{d\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C^3\,d^2\,e^7\,f+32\,C^3\,e^5\,f^3\right)}{d\,f^4}-\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(32\,C^3\,e^5\,f^3-96\,C^3\,d^2\,e^7\,f\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,C^3\,e^6\,\left(\sqrt{1-d\,x}-1\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}-\frac{C\,e^2\,\left(\frac{4096\,\left(9\,C^2\,d^4\,e^7\,f^2+16\,C^2\,e^3\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(3\,C^2\,d^2\,e^6\,f+8\,C^2\,e^4\,f^3\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,C^2\,d^4\,e^7\,f^2+128\,C^2\,d^2\,e^5\,f^4-144\,C^2\,e^3\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,d^2\,e^3\,f^7-30\,C\,d^4\,e^5\,f^5\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(20\,C\,e^2\,f^6-22\,C\,d^2\,e^4\,f^4\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,\left(96\,C\,d^2\,e^3\,f^7-90\,C\,d^4\,e^5\,f^5\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4}+\frac{16384\,\left(\sqrt{1-d\,x}-1\right)\,\left(5\,d^2\,e^2\,f^7-6\,d^4\,e^4\,f^5\right)}{f^2\,\left(\sqrt{d\,x+1}-1\right)}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^8-9\,d^6\,e^5\,f^6\right)}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{917504\,C^4\,e^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,f^4\,{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}}{f^2\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{B\,e\,\mathrm{atan}\left(\frac{\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)\,1{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}{\frac{131072\,B^4\,e^3}{d}+\frac{917504\,B^4\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}-\frac{B\,e\,\left(\frac{4096\,\left(24\,B^3\,d^2\,e^4+32\,B^3\,e^2\,f^2\right)}{d}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(96\,B^3\,d^2\,e^4-32\,B^3\,e^2\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{458752\,B^3\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{B\,e\,\left(\frac{4096\,\left(9\,B^2\,d^4\,e^5+16\,B^2\,e\,f^4\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(49152\,B^2\,d^2\,e^4\,f+131072\,B^2\,e^2\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(9\,B^2\,d^4\,e^5+128\,B^2\,d^2\,e^3\,f^2-144\,B^2\,e\,f^4\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,e\,\left(\frac{4096\,\left(24\,B\,d^2\,e^2\,f^4-30\,B\,d^4\,e^4\,f^2\right)}{d}+\frac{\left(327680\,B\,e\,f^5-360448\,B\,d^2\,e^3\,f^3\right)\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,\left(96\,B\,d^2\,e^2\,f^4-90\,B\,d^4\,e^4\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,e\,\left(\frac{4096\,\left(7\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d}+\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(81920\,d^2\,e^2\,f^5-98304\,d^4\,e^4\,f^3\right)}{\sqrt{d\,x+1}-1}+\frac{4096\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(11\,d^4\,e^3\,f^4-9\,d^6\,e^5\,f^2\right)}{d\,{\left(\sqrt{d\,x+1}-1\right)}^2}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}\right)}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}}\right)\,2{}\mathrm{i}}{f\,\sqrt{f+d\,e}\,\sqrt{f-d\,e}}","Not used",1,"(4*C*e*atan((37748736*C^5*d^4*e^10*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2)) + (67108864*C^5*e^6*f^4*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2)) - (100663296*C^5*d^2*e^8*f^2*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(37748736*C^5*d^4*e^10 + 67108864*C^5*e^6*f^4 - 100663296*C^5*d^2*e^8*f^2))))/(d*f^2) - (4*B*atan((67108864*B^5*e*f^4*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2)) + (37748736*B^5*d^4*e^5*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2)) - (100663296*B^5*d^2*e^3*f^2*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(67108864*B^5*e*f^4 + 37748736*B^5*d^4*e^5 - 100663296*B^5*d^2*e^3*f^2))))/(d*f) - (8*C*((1 - d*x)^(1/2) - 1)^2)/(f*((d*x + 1)^(1/2) - 1)^2*(d^2 + (2*d^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (d^2*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4)) - (A*atan((f^2*1i - d^2*e^2*1i - (f^2*((1 - d*x)^(1/2) - 1)^2*1i)/((d*x + 1)^(1/2) - 1)^2 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^2*1i)/((d*x + 1)^(1/2) - 1)^2)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2) - (f*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))/((d*x + 1)^(1/2) - 1)^2 + (2*d*e*((1 - d*x)^(1/2) - 1)*(f + d*e)^(1/2)*(f - d*e)^(1/2))/((d*x + 1)^(1/2) - 1)))*2i)/((f + d*e)^(1/2)*(f - d*e)^(1/2)) - (C*e^2*atan(((C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) + (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) - (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)))/((131072*C^4*e^7)/(d*f^4) + (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) + (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) - (C*e^2*((4096*(32*C^3*e^5*f^3 + 24*C^3*d^2*e^7*f))/(d*f^4) - (4096*((1 - d*x)^(1/2) - 1)^2*(32*C^3*e^5*f^3 - 96*C^3*d^2*e^7*f))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (458752*C^3*e^6*((1 - d*x)^(1/2) - 1))/(f^2*((d*x + 1)^(1/2) - 1)) - (C*e^2*((4096*(16*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(8*C^2*e^4*f^3 + 3*C^2*d^2*e^6*f))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(128*C^2*d^2*e^5*f^4 - 144*C^2*e^3*f^6 + 9*C^2*d^4*e^7*f^2))/(d*f^4*((d*x + 1)^(1/2) - 1)^2) + (C*e^2*((4096*(24*C*d^2*e^3*f^7 - 30*C*d^4*e^5*f^5))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(20*C*e^2*f^6 - 22*C*d^2*e^4*f^4))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*(96*C*d^2*e^3*f^7 - 90*C*d^4*e^5*f^5)*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2) - (C*e^2*((4096*(7*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4) + (16384*((1 - d*x)^(1/2) - 1)*(5*d^2*e^2*f^7 - 6*d^4*e^4*f^5))/(f^2*((d*x + 1)^(1/2) - 1)) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^8 - 9*d^6*e^5*f^6))/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (917504*C^4*e^7*((1 - d*x)^(1/2) - 1)^2)/(d*f^4*((d*x + 1)^(1/2) - 1)^2)))*2i)/(f^2*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (B*e*atan(((B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)) + (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))*1i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)))/((131072*B^4*e^3)/d + (917504*B^4*e^3*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2)) - (B*e*((4096*(24*B^3*d^2*e^4 + 32*B^3*e^2*f^2))/d + (4096*((1 - d*x)^(1/2) - 1)^2*(96*B^3*d^2*e^4 - 32*B^3*e^2*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (458752*B^3*e^3*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (B*e*((4096*(16*B^2*e*f^4 + 9*B^2*d^4*e^5))/d + (((1 - d*x)^(1/2) - 1)*(131072*B^2*e^2*f^3 + 49152*B^2*d^2*e^4*f))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(9*B^2*d^4*e^5 - 144*B^2*e*f^4 + 128*B^2*d^2*e^3*f^2))/(d*((d*x + 1)^(1/2) - 1)^2) + (B*e*((4096*(24*B*d^2*e^2*f^4 - 30*B*d^4*e^4*f^2))/d + ((327680*B*e*f^5 - 360448*B*d^2*e^3*f^3)*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (4096*(96*B*d^2*e^2*f^4 - 90*B*d^4*e^4*f^2)*((1 - d*x)^(1/2) - 1)^2)/(d*((d*x + 1)^(1/2) - 1)^2) - (B*e*((4096*(7*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/d + (((1 - d*x)^(1/2) - 1)*(81920*d^2*e^2*f^5 - 98304*d^4*e^4*f^3))/((d*x + 1)^(1/2) - 1) + (4096*((1 - d*x)^(1/2) - 1)^2*(11*d^4*e^3*f^4 - 9*d^6*e^5*f^2))/(d*((d*x + 1)^(1/2) - 1)^2)))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))))*2i)/(f*(f + d*e)^(1/2)*(f - d*e)^(1/2))","B"
13,1,10198,163,0.008387,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^2*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{4\,C\,\mathrm{atan}\left(\frac{\left(\frac{\left(\sqrt{1-d\,x}-1\right)\,\left(\frac{2097152\,\left(-6\,d^{10}\,e^{13}\,f+112\,d^8\,e^{11}\,f^3-532\,d^6\,e^9\,f^5+1048\,d^4\,e^7\,f^7-912\,d^2\,e^5\,f^9+288\,e^3\,f^{11}\right)}{d\,f^2\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}-\frac{33554432\,\left(3\,d^{14}\,e^{13}\,f^9-35\,d^{12}\,e^{11}\,f^{11}+130\,d^{10}\,e^9\,f^{13}-230\,d^8\,e^7\,f^{15}+215\,d^6\,e^5\,f^{17}-103\,d^4\,e^3\,f^{19}+20\,d^2\,e\,f^{21}\right)}{d^5\,f^{10}\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}+\frac{8388608\,\left(9\,d^{12}\,e^{13}\,f^5-144\,d^{10}\,e^{11}\,f^7+597\,d^8\,e^9\,f^9-1106\,d^6\,e^7\,f^{11}+1024\,d^4\,e^5\,f^{13}-452\,d^2\,e^3\,f^{15}+72\,e\,f^{17}\right)}{d^3\,f^6\,\left(d^9\,e^8\,f^5-4\,d^7\,e^6\,f^7+6\,d^5\,e^4\,f^9-4\,d^3\,e^2\,f^{11}+d\,f^{13}\right)}\right)}{\sqrt{d\,x+1}-1}-\frac{33554432\,\left(-7\,d^{12}\,e^{12}\,f^9+35\,d^{10}\,e^{10}\,f^{11}-70\,d^8\,e^8\,f^{13}+70\,d^6\,e^6\,f^{15}-35\,d^4\,e^4\,f^{17}+7\,d^2\,e^2\,f^{19}\right)}{d^5\,f^{10}\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}+\frac{2097152\,\left(28\,d^8\,e^{12}\,f-168\,d^6\,e^{10}\,f^3+364\,d^4\,e^8\,f^5-336\,d^2\,e^6\,f^7+112\,e^4\,f^9\right)}{d\,f^2\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}+\frac{8388608\,\left(-35\,d^{10}\,e^{12}\,f^5+182\,d^8\,e^{10}\,f^7-371\,d^6\,e^8\,f^9+364\,d^4\,e^6\,f^{11}-168\,d^2\,e^4\,f^{13}+28\,e^2\,f^{15}\right)}{d^3\,f^6\,\left(d^8\,e^8\,f^4-4\,d^6\,e^6\,f^6+6\,d^4\,e^4\,f^8-4\,d^2\,e^2\,f^{10}+f^{12}\right)}\right)\,\left(d^{12}\,e^8\,f^6-4\,d^{10}\,e^6\,f^8+6\,d^8\,e^4\,f^{10}-4\,d^6\,e^2\,f^{12}+d^4\,f^{14}\right)}{37748736\,d^{12}\,e^{13}-201326592\,d^{10}\,e^{11}\,f^2+469762048\,d^8\,e^9\,f^4-637534208\,d^6\,e^7\,f^6+536870912\,d^4\,e^5\,f^8-268435456\,d^2\,e^3\,f^{10}+67108864\,e\,f^{12}}\right)}{d\,f^2}+\frac{\frac{4\,A\,f^2\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{4\,A\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{8\,A\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}-A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}+\frac{A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{A\,d^5\,e^5\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{A\,d^2\,e^2\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{A\,d^3\,e^3\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{A\,d^4\,e^4\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{A\,d^2\,e^2\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{A\,d^4\,e^4\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}}{d^3\,e^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-d\,e^2\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{4\,e\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{4\,e\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{2\,d^3\,e^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^3\,e^4\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{2\,d\,e^2\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{4\,d^2\,e^3\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{d\,e^2\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{4\,d^2\,e^3\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}}-\frac{\frac{4\,C\,d\,e\,\left(\sqrt{1-d\,x}-1\right)}{\left(f^2-d^2\,e^2\right)\,\left(\sqrt{d\,x+1}-1\right)}-\frac{4\,C\,d\,e\,{\left(\sqrt{1-d\,x}-1\right)}^3}{\left(f^2-d^2\,e^2\right)\,{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{8\,C\,d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{f\,\left(f^2-d^2\,e^2\right)\,{\left(\sqrt{d\,x+1}-1\right)}^2}}{d^2\,e+\frac{4\,d\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{4\,d\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{2\,d^2\,e\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^2\,e\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}}-\frac{\frac{4\,B\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}+\frac{B\,f^4\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,2{}\mathrm{i}-\frac{4\,B\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{B\,f^4\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}-\frac{B\,d^2\,e^2\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3\,8{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{B\,d\,e\,f^3\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{8\,B\,d\,e\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,d^2\,e^2\,f^2\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,\left(\sqrt{1-d\,x}-1\right)\,8{}\mathrm{i}}{\sqrt{d\,x+1}-1}+\frac{B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2\,4{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{B\,d^3\,e^3\,f\,\mathrm{atan}\left(\frac{{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}\,1{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^2}}{f^3-d^2\,e^2\,f-\frac{f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{2\,d^3\,e^3\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{2\,d\,e\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}}\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4\,2{}\mathrm{i}}{{\left(\sqrt{d\,x+1}-1\right)}^4}}{d^3\,e^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{4\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}-d\,e\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{4\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{2\,d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{d^3\,e^3\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^2\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{4\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{2\,d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{d\,e\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^4}}+\frac{\ln\left(16\,f^{15}-9\,d^{14}\,e^{14}\,f-\frac{16\,f^{15}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-92\,d^2\,e^2\,f^{13}+236\,d^4\,e^4\,f^{11}-352\,d^6\,e^6\,f^9+329\,d^8\,e^8\,f^7-191\,d^{10}\,e^{10}\,f^5+63\,d^{12}\,e^{12}\,f^3+16\,f^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+12\,d^6\,e^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+15\,d^{12}\,e^{12}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{6\,d^{15}\,e^{15}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{16\,d\,e\,f^{14}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{92\,d^2\,e^2\,f^{13}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{236\,d^4\,e^4\,f^{11}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{352\,d^6\,e^6\,f^9\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{329\,d^8\,e^8\,f^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{191\,d^{10}\,e^{10}\,f^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{63\,d^{12}\,e^{12}\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{16\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-24\,d^2\,e^2\,f^{10}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+120\,d^4\,e^4\,f^8\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-228\,d^6\,e^6\,f^6\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+4\,d^2\,e^2\,f^4\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+207\,d^8\,e^8\,f^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-28\,d^4\,e^4\,f^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}-90\,d^{10}\,e^{10}\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-\frac{88\,d^3\,e^3\,f^{12}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{216\,d^5\,e^5\,f^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{308\,d^7\,e^7\,f^8\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{274\,d^9\,e^9\,f^6\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{150\,d^{11}\,e^{11}\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{46\,d^{13}\,e^{13}\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{9\,d^{14}\,e^{14}\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{48\,d^6\,e^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^{12}\,e^{12}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{376\,d^3\,e^3\,f^9\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{688\,d^5\,e^5\,f^7\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{612\,d^7\,e^7\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{152\,d^3\,e^3\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{264\,d^9\,e^9\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{80\,d\,e\,f^{11}\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{96\,d\,e\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{136\,d^2\,e^2\,f^{10}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{560\,d^4\,e^4\,f^8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{912\,d^6\,e^6\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{156\,d^2\,e^2\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{733\,d^8\,e^8\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{172\,d^4\,e^4\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{290\,d^{10}\,e^{10}\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{56\,d^5\,e^5\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}+\frac{44\,d^{11}\,e^{11}\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}\right)\,\left(C\,d^2\,e^3-2\,C\,e\,f^2\right)}{f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}+\frac{C\,e\,\ln\left(9\,d^{14}\,e^{14}\,f-16\,f^{15}+\frac{16\,f^{15}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+92\,d^2\,e^2\,f^{13}-236\,d^4\,e^4\,f^{11}+352\,d^6\,e^6\,f^9-329\,d^8\,e^8\,f^7+191\,d^{10}\,e^{10}\,f^5-63\,d^{12}\,e^{12}\,f^3+16\,f^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+12\,d^6\,e^6\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+15\,d^{12}\,e^{12}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{6\,d^{15}\,e^{15}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{16\,d\,e\,f^{14}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{92\,d^2\,e^2\,f^{13}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{236\,d^4\,e^4\,f^{11}\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{352\,d^6\,e^6\,f^9\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{329\,d^8\,e^8\,f^7\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{191\,d^{10}\,e^{10}\,f^5\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{63\,d^{12}\,e^{12}\,f^3\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{16\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-24\,d^2\,e^2\,f^{10}\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+120\,d^4\,e^4\,f^8\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-228\,d^6\,e^6\,f^6\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+4\,d^2\,e^2\,f^4\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}+207\,d^8\,e^8\,f^4\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}-28\,d^4\,e^4\,f^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}-90\,d^{10}\,e^{10}\,f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}+\frac{88\,d^3\,e^3\,f^{12}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{216\,d^5\,e^5\,f^{10}\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{308\,d^7\,e^7\,f^8\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{274\,d^9\,e^9\,f^6\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}+\frac{150\,d^{11}\,e^{11}\,f^4\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{46\,d^{13}\,e^{13}\,f^2\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}-\frac{9\,d^{14}\,e^{14}\,f\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{48\,d^6\,e^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{45\,d^{12}\,e^{12}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{376\,d^3\,e^3\,f^9\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{688\,d^5\,e^5\,f^7\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{612\,d^7\,e^7\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{152\,d^3\,e^3\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{264\,d^9\,e^9\,f^3\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}-\frac{80\,d\,e\,f^{11}\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}+\frac{96\,d\,e\,f^5\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}-\frac{136\,d^2\,e^2\,f^{10}\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{560\,d^4\,e^4\,f^8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{912\,d^6\,e^6\,f^6\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{156\,d^2\,e^2\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{733\,d^8\,e^8\,f^4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{172\,d^4\,e^4\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{290\,d^{10}\,e^{10}\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{56\,d^5\,e^5\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{9/2}\,{\left(f-d\,e\right)}^{9/2}}{\sqrt{d\,x+1}-1}+\frac{44\,d^{11}\,e^{11}\,f\,\left(\sqrt{1-d\,x}-1\right)\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}{\sqrt{d\,x+1}-1}\right)\,\left(2\,f^2-d^2\,e^2\right)}{f^2\,{\left(f+d\,e\right)}^{3/2}\,{\left(f-d\,e\right)}^{3/2}}","Not used",1,"(A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i + (4*A*f^2*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (A*d^5*e^5*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 - (4*A*f^2*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - (A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (A*d^2*e^2*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - (A*d^3*e^3*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 + (A*d^4*e^4*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) - (A*d^2*e^2*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) - (A*d^4*e^4*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 + (8*A*d*e*f*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2)/(d^3*e^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - d*e^2*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (4*e*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (4*e*f^3*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (2*d^3*e^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (d^3*e^4*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 - (2*d*e^2*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (4*d^2*e^3*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - (d*e^2*f^2*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 + (4*d^2*e^3*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)) - (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - (B*f^4*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) + (B*f^4*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*2i - (4*B*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (4*B*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (B*d^2*e^2*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^3*8i)/((d*x + 1)^(1/2) - 1)^3 - (B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 - (B*d*e*f^3*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4 + (8*B*d*e*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (B*d^2*e^2*f^2*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)*8i)/((d*x + 1)^(1/2) - 1) + (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^2*4i)/((d*x + 1)^(1/2) - 1)^2 + (B*d^3*e^3*f*atan(((f + d*e)^(3/2)*(f - d*e)^(3/2)*1i - (((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)*1i)/((d*x + 1)^(1/2) - 1)^2)/(f^3 - d^2*e^2*f - (f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (2*d^3*e^3*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (2*d*e*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (d^2*e^2*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2))*((1 - d*x)^(1/2) - 1)^4*2i)/((d*x + 1)^(1/2) - 1)^4)/(d^3*e^3*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (4*f^3*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 - d*e*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (4*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (2*d^3*e^3*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (d^3*e^3*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4 - (4*d^2*e^2*f*((1 - d*x)^(1/2) - 1)^3*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^3 + (4*d^2*e^2*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (2*d*e*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (d*e*f^2*((1 - d*x)^(1/2) - 1)^4*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^4) - ((4*C*d*e*((1 - d*x)^(1/2) - 1))/((f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)) - (4*C*d*e*((1 - d*x)^(1/2) - 1)^3)/((f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)^3) + (8*C*d^2*e^2*((1 - d*x)^(1/2) - 1)^2)/(f*(f^2 - d^2*e^2)*((d*x + 1)^(1/2) - 1)^2))/(d^2*e + (4*d*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (4*d*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 + (2*d^2*e*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (d^2*e*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4) + (4*C*atan((((((1 - d*x)^(1/2) - 1)*((2097152*(288*e^3*f^11 - 6*d^10*e^13*f - 912*d^2*e^5*f^9 + 1048*d^4*e^7*f^7 - 532*d^6*e^9*f^5 + 112*d^8*e^11*f^3))/(d*f^2*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5)) - (33554432*(20*d^2*e*f^21 - 103*d^4*e^3*f^19 + 215*d^6*e^5*f^17 - 230*d^8*e^7*f^15 + 130*d^10*e^9*f^13 - 35*d^12*e^11*f^11 + 3*d^14*e^13*f^9))/(d^5*f^10*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5)) + (8388608*(72*e*f^17 - 452*d^2*e^3*f^15 + 1024*d^4*e^5*f^13 - 1106*d^6*e^7*f^11 + 597*d^8*e^9*f^9 - 144*d^10*e^11*f^7 + 9*d^12*e^13*f^5))/(d^3*f^6*(d*f^13 - 4*d^3*e^2*f^11 + 6*d^5*e^4*f^9 - 4*d^7*e^6*f^7 + d^9*e^8*f^5))))/((d*x + 1)^(1/2) - 1) - (33554432*(7*d^2*e^2*f^19 - 35*d^4*e^4*f^17 + 70*d^6*e^6*f^15 - 70*d^8*e^8*f^13 + 35*d^10*e^10*f^11 - 7*d^12*e^12*f^9))/(d^5*f^10*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)) + (2097152*(112*e^4*f^9 + 28*d^8*e^12*f - 336*d^2*e^6*f^7 + 364*d^4*e^8*f^5 - 168*d^6*e^10*f^3))/(d*f^2*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)) + (8388608*(28*e^2*f^15 - 168*d^2*e^4*f^13 + 364*d^4*e^6*f^11 - 371*d^6*e^8*f^9 + 182*d^8*e^10*f^7 - 35*d^10*e^12*f^5))/(d^3*f^6*(f^12 - 4*d^2*e^2*f^10 + 6*d^4*e^4*f^8 - 4*d^6*e^6*f^6 + d^8*e^8*f^4)))*(d^4*f^14 - 4*d^6*e^2*f^12 + 6*d^8*e^4*f^10 - 4*d^10*e^6*f^8 + d^12*e^8*f^6))/(67108864*e*f^12 + 37748736*d^12*e^13 - 268435456*d^2*e^3*f^10 + 536870912*d^4*e^5*f^8 - 637534208*d^6*e^7*f^6 + 469762048*d^8*e^9*f^4 - 201326592*d^10*e^11*f^2)))/(d*f^2) + (log(16*f^15 - 9*d^14*e^14*f - (16*f^15*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - 92*d^2*e^2*f^13 + 236*d^4*e^4*f^11 - 352*d^6*e^6*f^9 + 329*d^8*e^8*f^7 - 191*d^10*e^10*f^5 + 63*d^12*e^12*f^3 + 16*f^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 12*d^6*e^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 15*d^12*e^12*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (6*d^15*e^15*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (16*d*e*f^14*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (92*d^2*e^2*f^13*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (236*d^4*e^4*f^11*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (352*d^6*e^6*f^9*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (329*d^8*e^8*f^7*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (191*d^10*e^10*f^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (63*d^12*e^12*f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (16*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - 24*d^2*e^2*f^10*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 120*d^4*e^4*f^8*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 228*d^6*e^6*f^6*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 4*d^2*e^2*f^4*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 207*d^8*e^8*f^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 28*d^4*e^4*f^2*(f + d*e)^(9/2)*(f - d*e)^(9/2) - 90*d^10*e^10*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) - (88*d^3*e^3*f^12*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (216*d^5*e^5*f^10*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (308*d^7*e^7*f^8*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (274*d^9*e^9*f^6*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (150*d^11*e^11*f^4*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (46*d^13*e^13*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (9*d^14*e^14*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (48*d^6*e^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (45*d^12*e^12*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (376*d^3*e^3*f^9*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (688*d^5*e^5*f^7*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (612*d^7*e^7*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (152*d^3*e^3*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (264*d^9*e^9*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (80*d*e*f^11*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (96*d*e*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (136*d^2*e^2*f^10*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (560*d^4*e^4*f^8*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (912*d^6*e^6*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (156*d^2*e^2*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (733*d^8*e^8*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (172*d^4*e^4*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - (290*d^10*e^10*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (56*d^5*e^5*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) + (44*d^11*e^11*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1))*(C*d^2*e^3 - 2*C*e*f^2))/(f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2)) + (C*e*log(9*d^14*e^14*f - 16*f^15 + (16*f^15*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + 92*d^2*e^2*f^13 - 236*d^4*e^4*f^11 + 352*d^6*e^6*f^9 - 329*d^8*e^8*f^7 + 191*d^10*e^10*f^5 - 63*d^12*e^12*f^3 + 16*f^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 12*d^6*e^6*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 15*d^12*e^12*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (6*d^15*e^15*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (16*d*e*f^14*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (92*d^2*e^2*f^13*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (236*d^4*e^4*f^11*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (352*d^6*e^6*f^9*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (329*d^8*e^8*f^7*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (191*d^10*e^10*f^5*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (63*d^12*e^12*f^3*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (16*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - 24*d^2*e^2*f^10*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 120*d^4*e^4*f^8*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 228*d^6*e^6*f^6*(f + d*e)^(3/2)*(f - d*e)^(3/2) + 4*d^2*e^2*f^4*(f + d*e)^(9/2)*(f - d*e)^(9/2) + 207*d^8*e^8*f^4*(f + d*e)^(3/2)*(f - d*e)^(3/2) - 28*d^4*e^4*f^2*(f + d*e)^(9/2)*(f - d*e)^(9/2) - 90*d^10*e^10*f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2) + (88*d^3*e^3*f^12*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (216*d^5*e^5*f^10*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (308*d^7*e^7*f^8*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (274*d^9*e^9*f^6*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) + (150*d^11*e^11*f^4*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (46*d^13*e^13*f^2*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1) - (9*d^14*e^14*f*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 + (48*d^6*e^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (45*d^12*e^12*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (376*d^3*e^3*f^9*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (688*d^5*e^5*f^7*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (612*d^7*e^7*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (152*d^3*e^3*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (264*d^9*e^9*f^3*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) - (80*d*e*f^11*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1) + (96*d*e*f^5*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) - (136*d^2*e^2*f^10*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (560*d^4*e^4*f^8*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (912*d^6*e^6*f^6*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (156*d^2*e^2*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 + (733*d^8*e^8*f^4*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 - (172*d^4*e^4*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1)^2 - (290*d^10*e^10*f^2*((1 - d*x)^(1/2) - 1)^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1)^2 + (56*d^5*e^5*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(9/2)*(f - d*e)^(9/2))/((d*x + 1)^(1/2) - 1) + (44*d^11*e^11*f*((1 - d*x)^(1/2) - 1)*(f + d*e)^(3/2)*(f - d*e)^(3/2))/((d*x + 1)^(1/2) - 1))*(2*f^2 - d^2*e^2))/(f^2*(f + d*e)^(3/2)*(f - d*e)^(3/2))","B"
14,1,9097,248,0.006663,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^3*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{12\,\left(C\,d^2\,e^2\,f+2\,C\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{24\,\left(2\,C\,f^3-C\,d^2\,e^2\,f\right)\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{12\,\left(C\,d^2\,e^2\,f+2\,C\,f^3\right)\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(C\,d^3\,e^3+2\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(7\,C\,d^3\,e^3-34\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(7\,C\,d^3\,e^3-34\,C\,d\,e\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,d\,e\,\left(\sqrt{1-d\,x}-1\right)\,\left(C\,d^2\,e^2+2\,C\,f^2\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}+\frac{\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,A\,d^4\,e^4\,f+7\,A\,d^2\,e^2\,f^3-2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(4\,A\,d^4\,e^4\,f-9\,A\,d^2\,e^2\,f^3+2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,A\,d^4\,e^4\,f+7\,A\,d^2\,e^2\,f^3-2\,A\,f^5\right)}{e^2\,{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7\,\left(2\,A\,d\,f^3-5\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3\,\left(2\,A\,d\,f^3-29\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5\,\left(2\,A\,d\,f^3-29\,A\,d^3\,e^2\,f\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,d\,f\,\left(2\,A\,f^3-5\,A\,d^2\,e^2\,f\right)\,\left(\sqrt{1-d\,x}-1\right)}{e\,\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}-\frac{\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(2\,B\,d^4\,e^4+5\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(-2\,B\,d^4\,e^4+3\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^4\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(2\,B\,d^4\,e^4+5\,B\,d^2\,e^2\,f^2+2\,B\,f^4\right)}{e\,{\left(\sqrt{d\,x+1}-1\right)}^6\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{2\,f\,\left(11\,B\,d^3\,e^2+16\,B\,d\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{2\,f\,\left(11\,B\,d^3\,e^2+16\,B\,d\,f^2\right)\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}-\frac{6\,B\,d^3\,e^2\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}+\frac{6\,B\,d^3\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\left(d^4\,e^4-2\,d^2\,e^2\,f^2+f^4\right)}}{d^2\,e^2+\frac{{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{{\left(\sqrt{1-d\,x}-1\right)}^6\,\left(4\,d^2\,e^2+16\,f^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^6}-\frac{{\left(\sqrt{1-d\,x}-1\right)}^4\,\left(32\,f^2-6\,d^2\,e^2\right)}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{d^2\,e^2\,{\left(\sqrt{1-d\,x}-1\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}+\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}-\frac{8\,d\,e\,f\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{8\,d\,e\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}+\frac{C\,\mathrm{atan}\left(\frac{\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{8\,\left(C^2\,d^5\,e^5+4\,C^2\,d^3\,e^3\,f^2+4\,C^2\,d\,e\,f^4\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(C^2\,d^5\,e^5+4\,C^2\,d^3\,e^3\,f^2+4\,C^2\,d\,e\,f^4\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,C\,d^7\,e^7\,f-12\,C\,d^3\,e^3\,f^5+8\,C\,d\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{C\,\left(d^2\,e^2+2\,f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}\right)\,\left(d^2\,e^2+2\,f^2\right)\,1{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{A\,d^2\,\mathrm{atan}\left(\frac{\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{8\,\left(4\,A^2\,d^9\,e^5+4\,A^2\,d^7\,e^3\,f^2+A^2\,d^5\,e\,f^4\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{8\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,A^2\,d^9\,e^5+4\,A^2\,d^7\,e^3\,f^2+A^2\,d^5\,e\,f^4\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(8\,A\,d^9\,e^7\,f-12\,A\,d^7\,e^5\,f^3+4\,A\,d^3\,e\,f^7\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{A\,d^2\,\left(2\,d^2\,e^2+f^2\right)\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}\right)\,\left(2\,d^2\,e^2+f^2\right)\,1{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{B\,d^2\,e\,f\,\mathrm{atan}\left(\frac{\frac{B\,d^2\,e\,f\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}-\frac{B\,d^2\,e\,f\,\left(\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}}{\frac{72\,B^2\,d^5\,e^3\,f^2}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}-\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}-\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(12\,B\,d^7\,e^6\,f^2-24\,B\,d^5\,e^4\,f^4+12\,B\,d^3\,e^2\,f^6\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{3\,B\,d^2\,e\,f\,\left(\frac{4\,\left(4\,d^{11}\,e^{11}-12\,d^9\,e^9\,f^2+8\,d^7\,e^7\,f^4+8\,d^5\,e^5\,f^6-12\,d^3\,e^3\,f^8+4\,d\,e\,f^{10}\right)}{d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8}+\frac{4\,{\left(\sqrt{1-d\,x}-1\right)}^2\,\left(4\,d^{11}\,e^{11}-28\,d^9\,e^9\,f^2+72\,d^7\,e^7\,f^4-88\,d^5\,e^5\,f^6+52\,d^3\,e^3\,f^8-12\,d\,e\,f^{10}\right)}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}+\frac{64\,d^2\,e^2\,f\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}\right)}{2\,{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}+\frac{72\,B^2\,d^5\,e^3\,f^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2\,\left(d^8\,e^8-4\,d^6\,e^6\,f^2+6\,d^4\,e^4\,f^4-4\,d^2\,e^2\,f^6+f^8\right)}}\right)\,3{}\mathrm{i}}{{\left(f+d\,e\right)}^{5/2}\,{\left(f-d\,e\right)}^{5/2}}","Not used",1,"((12*(2*C*f^3 + C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^2)/(((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (24*(2*C*f^3 - C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^4)/(((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (12*(2*C*f^3 + C*d^2*e^2*f)*((1 - d*x)^(1/2) - 1)^6)/(((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*((1 - d*x)^(1/2) - 1)^7*(C*d^3*e^3 + 2*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*((1 - d*x)^(1/2) - 1)^3*(7*C*d^3*e^3 - 34*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*((1 - d*x)^(1/2) - 1)^5*(7*C*d^3*e^3 - 34*C*d*e*f^2))/(((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*d*e*((1 - d*x)^(1/2) - 1)*(2*C*f^2 + C*d^2*e^2))/(((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) + ((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^4*e^4*f - 2*A*f^5 + 7*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (8*((1 - d*x)^(1/2) - 1)^4*(2*A*f^5 + 4*A*d^4*e^4*f - 9*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (4*((1 - d*x)^(1/2) - 1)^6*(4*A*d^4*e^4*f - 2*A*f^5 + 7*A*d^2*e^2*f^3))/(e^2*((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*((1 - d*x)^(1/2) - 1)^7*(2*A*d*f^3 - 5*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*f*((1 - d*x)^(1/2) - 1)^3*(2*A*d*f^3 - 29*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*((1 - d*x)^(1/2) - 1)^5*(2*A*d*f^3 - 29*A*d^3*e^2*f))/(e*((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*d*f*(2*A*f^3 - 5*A*d^2*e^2*f)*((1 - d*x)^(1/2) - 1))/(e*((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) - ((4*((1 - d*x)^(1/2) - 1)^2*(2*B*f^4 + 2*B*d^4*e^4 + 5*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^2*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (8*((1 - d*x)^(1/2) - 1)^4*(2*B*f^4 - 2*B*d^4*e^4 + 3*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^4*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (4*((1 - d*x)^(1/2) - 1)^6*(2*B*f^4 + 2*B*d^4*e^4 + 5*B*d^2*e^2*f^2))/(e*((d*x + 1)^(1/2) - 1)^6*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (2*f*(11*B*d^3*e^2 + 16*B*d*f^2)*((1 - d*x)^(1/2) - 1)^3)/(((d*x + 1)^(1/2) - 1)^3*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (2*f*(11*B*d^3*e^2 + 16*B*d*f^2)*((1 - d*x)^(1/2) - 1)^5)/(((d*x + 1)^(1/2) - 1)^5*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) - (6*B*d^3*e^2*f*((1 - d*x)^(1/2) - 1)^7)/(((d*x + 1)^(1/2) - 1)^7*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)) + (6*B*d^3*e^2*f*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(f^4 + d^4*e^4 - 2*d^2*e^2*f^2)))/(d^2*e^2 + (((1 - d*x)^(1/2) - 1)^2*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^2 + (((1 - d*x)^(1/2) - 1)^6*(16*f^2 + 4*d^2*e^2))/((d*x + 1)^(1/2) - 1)^6 - (((1 - d*x)^(1/2) - 1)^4*(32*f^2 - 6*d^2*e^2))/((d*x + 1)^(1/2) - 1)^4 + (d^2*e^2*((1 - d*x)^(1/2) - 1)^8)/((d*x + 1)^(1/2) - 1)^8 + (8*d*e*f*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 - (8*d*e*f*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 + (8*d*e*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)) + (C*atan(((C*(2*f^2 + d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (C*(2*f^2 + d^2*e^2)*((4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((8*(C^2*d^5*e^5 + 4*C^2*d^3*e^3*f^2 + 4*C^2*d*e*f^4))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (8*((1 - d*x)^(1/2) - 1)^2*(C^2*d^5*e^5 + 4*C^2*d^3*e^3*f^2 + 4*C^2*d*e*f^4))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (C*(2*f^2 + d^2*e^2)*((4*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(8*C*d*e*f^7 + 4*C*d^7*e^7*f - 12*C*d^3*e^3*f^5))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (C*(2*f^2 + d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))*(2*f^2 + d^2*e^2)*1i)/((f + d*e)^(5/2)*(f - d*e)^(5/2)) + (A*d^2*atan(((A*d^2*(f^2 + 2*d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*1i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((8*(4*A^2*d^9*e^5 + 4*A^2*d^7*e^3*f^2 + A^2*d^5*e*f^4))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (8*((1 - d*x)^(1/2) - 1)^2*(4*A^2*d^9*e^5 + 4*A^2*d^7*e^3*f^2 + A^2*d^5*e*f^4))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(4*A*d^3*e*f^7 + 8*A*d^9*e^7*f - 12*A*d^7*e^5*f^3))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (A*d^2*(f^2 + 2*d^2*e^2)*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))*(f^2 + 2*d^2*e^2)*1i)/((f + d*e)^(5/2)*(f - d*e)^(5/2)) - (B*d^2*e*f*atan(((B*d^2*e*f*((4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*3i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) - (B*d^2*e*f*((4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))*3i)/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)))/((72*B^2*d^5*e^3*f^2)/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) - (4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (3*B*d^2*e*f*((4*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) - (4*((1 - d*x)^(1/2) - 1)^2*(12*B*d^3*e^2*f^6 - 24*B*d^5*e^4*f^4 + 12*B*d^7*e^6*f^2))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (3*B*d^2*e*f*((4*(4*d^11*e^11 - 12*d^3*e^3*f^8 + 8*d^5*e^5*f^6 + 8*d^7*e^7*f^4 - 12*d^9*e^9*f^2 + 4*d*e*f^10))/(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2) + (4*((1 - d*x)^(1/2) - 1)^2*(4*d^11*e^11 + 52*d^3*e^3*f^8 - 88*d^5*e^5*f^6 + 72*d^7*e^7*f^4 - 28*d^9*e^9*f^2 - 12*d*e*f^10))/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2)) + (64*d^2*e^2*f*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1)))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2))))/(2*(f + d*e)^(5/2)*(f - d*e)^(5/2)) + (72*B^2*d^5*e^3*f^2*((1 - d*x)^(1/2) - 1)^2)/(((d*x + 1)^(1/2) - 1)^2*(f^8 + d^8*e^8 - 4*d^2*e^2*f^6 + 6*d^4*e^4*f^4 - 4*d^6*e^6*f^2))))*3i)/((f + d*e)^(5/2)*(f - d*e)^(5/2))","B"
15,1,244,79,7.605996,"\text{Not used}","int((x*(a + b*x + c*x^2))/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\sqrt{1-d\,x}\,\left(\frac{a}{d^2}+\frac{a\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{2\,b\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,b\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{14\,b\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,b\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{2\,b\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}-\frac{\sqrt{1-d\,x}\,\left(\frac{2\,c}{3\,d^4}+\frac{c\,x^3}{3\,d}+\frac{c\,x^2}{3\,d^2}+\frac{2\,c\,x}{3\,d^3}\right)}{\sqrt{d\,x+1}}","Not used",1,"- ((1 - d*x)^(1/2)*(a/d^2 + (a*x)/d))/(d*x + 1)^(1/2) - (2*b*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*b*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (14*b*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*b*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (2*b*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4) - ((1 - d*x)^(1/2)*((2*c)/(3*d^4) + (c*x^3)/(3*d) + (c*x^2)/(3*d^2) + (2*c*x)/(3*d^3)))/(d*x + 1)^(1/2)","B"
16,1,232,63,7.410742,"\text{Not used}","int((a + b*x + c*x^2)/((1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","-\frac{\sqrt{1-d\,x}\,\left(\frac{b}{d^2}+\frac{b\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{4\,a\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{2\,c\,\mathrm{atan}\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,c\,{\left(\sqrt{1-d\,x}-1\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}-\frac{14\,c\,{\left(\sqrt{1-d\,x}-1\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,c\,{\left(\sqrt{1-d\,x}-1\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}-\frac{2\,c\,\left(\sqrt{1-d\,x}-1\right)}{\sqrt{d\,x+1}-1}}{d^3\,{\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)}^4}","Not used",1,"- ((1 - d*x)^(1/2)*(b/d^2 + (b*x)/d))/(d*x + 1)^(1/2) - (4*a*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (2*c*atan(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*c*((1 - d*x)^(1/2) - 1)^3)/((d*x + 1)^(1/2) - 1)^3 - (14*c*((1 - d*x)^(1/2) - 1)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*c*((1 - d*x)^(1/2) - 1)^7)/((d*x + 1)^(1/2) - 1)^7 - (2*c*((1 - d*x)^(1/2) - 1))/((d*x + 1)^(1/2) - 1))/(d^3*(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 + 1)^4)","B"
17,1,122,48,4.330744,"\text{Not used}","int((a + b*x + c*x^2)/(x*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","a\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{\sqrt{1-d\,x}\,\left(\frac{c}{d^2}+\frac{c\,x}{d}\right)}{\sqrt{d\,x+1}}-\frac{4\,b\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}","Not used",1,"a*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - ((1 - d*x)^(1/2)*(c/d^2 + (c*x)/d))/(d*x + 1)^(1/2) - (4*b*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2)","B"
18,1,114,48,4.266248,"\text{Not used}","int((a + b*x + c*x^2)/(x^2*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","b\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{4\,c\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{1-d\,x}-1\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{d^2}}\right)}{\sqrt{d^2}}-\frac{a\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{x}","Not used",1,"b*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - (4*c*atan((d*((1 - d*x)^(1/2) - 1))/(((d*x + 1)^(1/2) - 1)*(d^2)^(1/2))))/(d^2)^(1/2) - (a*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/x","B"
19,1,312,71,6.304499,"\text{Not used}","int((a + b*x + c*x^2)/(x^3*(1 - d*x)^(1/2)*(d*x + 1)^(1/2)),x)","c\,\left(\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)-\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)\right)-\frac{\frac{a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{a\,d^2}{2}+\frac{15\,a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^4}{2\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{16\,{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{32\,{\left(\sqrt{1-d\,x}-1\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{16\,{\left(\sqrt{1-d\,x}-1\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}+\frac{a\,d^2\,\ln\left(\frac{{\left(\sqrt{1-d\,x}-1\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}-1\right)}{2}-\frac{a\,d^2\,\ln\left(\frac{\sqrt{1-d\,x}-1}{\sqrt{d\,x+1}-1}\right)}{2}-\frac{b\,\sqrt{1-d\,x}\,\sqrt{d\,x+1}}{x}+\frac{a\,d^2\,{\left(\sqrt{1-d\,x}-1\right)}^2}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"c*(log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1) - log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1))) - ((a*d^2*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (a*d^2)/2 + (15*a*d^2*((1 - d*x)^(1/2) - 1)^4)/(2*((d*x + 1)^(1/2) - 1)^4))/((16*((1 - d*x)^(1/2) - 1)^2)/((d*x + 1)^(1/2) - 1)^2 - (32*((1 - d*x)^(1/2) - 1)^4)/((d*x + 1)^(1/2) - 1)^4 + (16*((1 - d*x)^(1/2) - 1)^6)/((d*x + 1)^(1/2) - 1)^6) + (a*d^2*log(((1 - d*x)^(1/2) - 1)^2/((d*x + 1)^(1/2) - 1)^2 - 1))/2 - (a*d^2*log(((1 - d*x)^(1/2) - 1)/((d*x + 1)^(1/2) - 1)))/2 - (b*(1 - d*x)^(1/2)*(d*x + 1)^(1/2))/x + (a*d^2*((1 - d*x)^(1/2) - 1)^2)/(32*((d*x + 1)^(1/2) - 1)^2)","B"
20,-1,-1,591,0.000000,"\text{Not used}","int((e + f*x)^3*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)*(A + B*x + C*x^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
21,-1,-1,451,0.000000,"\text{Not used}","int((e + f*x)^2*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)*(A + B*x + C*x^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
22,1,1765,300,30.576693,"\text{Not used}","int((e + f*x)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)*(A + B*x + C*x^2),x)","\frac{\frac{B\,a^4\,c^8\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{B\,a^4\,c\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}-\frac{35\,B\,a^4\,c^7\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{273\,B\,a^4\,c^6\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{715\,B\,a^4\,c^5\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{715\,B\,a^4\,c^4\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}-\frac{273\,B\,a^4\,c^3\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{35\,B\,a^4\,c^2\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}}{b^3\,c^8+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+\frac{8\,b^3\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{28\,b^3\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{56\,b^3\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{70\,b^3\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{56\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{28\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{8\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}}-\sqrt{a\,c-b\,c\,x}\,\left(\frac{2\,C\,a^4\,f\,\sqrt{a+b\,x}}{15\,b^4}-\frac{C\,f\,x^4\,\sqrt{a+b\,x}}{5}+\frac{C\,a^2\,f\,x^2\,\sqrt{a+b\,x}}{15\,b^2}\right)+\frac{\frac{C\,a^4\,c^8\,e\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{C\,a^4\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}-\frac{35\,C\,a^4\,c^7\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{273\,C\,a^4\,c^6\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{715\,C\,a^4\,c^5\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{715\,C\,a^4\,c^4\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}-\frac{273\,C\,a^4\,c^3\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{35\,C\,a^4\,c^2\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}}{b^3\,c^8+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+\frac{8\,b^3\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{28\,b^3\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{56\,b^3\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{70\,b^3\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{56\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{28\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{8\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}}+\frac{A\,e\,x\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{2}-\frac{A\,f\,\left(a^2-b^2\,x^2\right)\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{3\,b^2}-\frac{B\,e\,\left(a^2-b^2\,x^2\right)\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{3\,b^2}-\frac{B\,a^4\,\sqrt{c}\,f\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{2\,b^3}-\frac{C\,a^4\,\sqrt{c}\,e\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{2\,b^3}-\frac{A\,a^2\,\sqrt{b}\,c^2\,e\,\ln\left(\sqrt{-b\,c}\,\sqrt{c\,\left(a-b\,x\right)}\,\sqrt{a+b\,x}-b^{3/2}\,c\,x\right)}{2\,{\left(-b\,c\right)}^{3/2}}","Not used",1,"((B*a^4*c^8*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(2*((a + b*x)^(1/2) - a^(1/2))) - (B*a^4*c*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15)/(2*((a + b*x)^(1/2) - a^(1/2))^15) - (35*B*a^4*c^7*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(2*((a + b*x)^(1/2) - a^(1/2))^3) + (273*B*a^4*c^6*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(2*((a + b*x)^(1/2) - a^(1/2))^5) - (715*B*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(2*((a + b*x)^(1/2) - a^(1/2))^7) + (715*B*a^4*c^4*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(2*((a + b*x)^(1/2) - a^(1/2))^9) - (273*B*a^4*c^3*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(2*((a + b*x)^(1/2) - a^(1/2))^11) + (35*B*a^4*c^2*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(2*((a + b*x)^(1/2) - a^(1/2))^13))/(b^3*c^8 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16)/((a + b*x)^(1/2) - a^(1/2))^16 + (8*b^3*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (28*b^3*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (56*b^3*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (70*b^3*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (56*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (28*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12 + (8*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14) - (a*c - b*c*x)^(1/2)*((2*C*a^4*f*(a + b*x)^(1/2))/(15*b^4) - (C*f*x^4*(a + b*x)^(1/2))/5 + (C*a^2*f*x^2*(a + b*x)^(1/2))/(15*b^2)) + ((C*a^4*c^8*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(2*((a + b*x)^(1/2) - a^(1/2))) - (C*a^4*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15)/(2*((a + b*x)^(1/2) - a^(1/2))^15) - (35*C*a^4*c^7*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(2*((a + b*x)^(1/2) - a^(1/2))^3) + (273*C*a^4*c^6*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(2*((a + b*x)^(1/2) - a^(1/2))^5) - (715*C*a^4*c^5*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(2*((a + b*x)^(1/2) - a^(1/2))^7) + (715*C*a^4*c^4*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(2*((a + b*x)^(1/2) - a^(1/2))^9) - (273*C*a^4*c^3*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(2*((a + b*x)^(1/2) - a^(1/2))^11) + (35*C*a^4*c^2*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(2*((a + b*x)^(1/2) - a^(1/2))^13))/(b^3*c^8 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16)/((a + b*x)^(1/2) - a^(1/2))^16 + (8*b^3*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (28*b^3*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (56*b^3*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (70*b^3*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (56*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (28*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12 + (8*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14) + (A*e*x*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/2 - (A*f*(a^2 - b^2*x^2)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(3*b^2) - (B*e*(a^2 - b^2*x^2)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(3*b^2) - (B*a^4*c^(1/2)*f*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(2*b^3) - (C*a^4*c^(1/2)*e*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(2*b^3) - (A*a^2*b^(1/2)*c^2*e*log((-b*c)^(1/2)*(c*(a - b*x))^(1/2)*(a + b*x)^(1/2) - b^(3/2)*c*x))/(2*(-b*c)^(3/2))","B"
23,1,876,221,16.517148,"\text{Not used}","int((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)*(A + B*x + C*x^2),x)","\frac{\frac{C\,a^4\,c^8\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{C\,a^4\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}-\frac{35\,C\,a^4\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{273\,C\,a^4\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{715\,C\,a^4\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{715\,C\,a^4\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}-\frac{273\,C\,a^4\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{35\,C\,a^4\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}}{b^3\,c^8+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+\frac{8\,b^3\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{28\,b^3\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{56\,b^3\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{70\,b^3\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{56\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{28\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{8\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}}+\frac{A\,x\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{2}-\frac{B\,\left(a^2-b^2\,x^2\right)\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{3\,b^2}-\frac{C\,a^4\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{2\,b^3}-\frac{A\,a^2\,\sqrt{b}\,c^2\,\ln\left(\sqrt{-b\,c}\,\sqrt{c\,\left(a-b\,x\right)}\,\sqrt{a+b\,x}-b^{3/2}\,c\,x\right)}{2\,{\left(-b\,c\right)}^{3/2}}","Not used",1,"((C*a^4*c^8*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(2*((a + b*x)^(1/2) - a^(1/2))) - (C*a^4*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15)/(2*((a + b*x)^(1/2) - a^(1/2))^15) - (35*C*a^4*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(2*((a + b*x)^(1/2) - a^(1/2))^3) + (273*C*a^4*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(2*((a + b*x)^(1/2) - a^(1/2))^5) - (715*C*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(2*((a + b*x)^(1/2) - a^(1/2))^7) + (715*C*a^4*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(2*((a + b*x)^(1/2) - a^(1/2))^9) - (273*C*a^4*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(2*((a + b*x)^(1/2) - a^(1/2))^11) + (35*C*a^4*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(2*((a + b*x)^(1/2) - a^(1/2))^13))/(b^3*c^8 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16)/((a + b*x)^(1/2) - a^(1/2))^16 + (8*b^3*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (28*b^3*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (56*b^3*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (70*b^3*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (56*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (28*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12 + (8*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14) + (A*x*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/2 - (B*(a^2 - b^2*x^2)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(3*b^2) - (C*a^4*c^(1/2)*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(2*b^3) - (A*a^2*b^(1/2)*c^2*log((-b*c)^(1/2)*(c*(a - b*x))^(1/2)*(a + b*x)^(1/2) - b^(3/2)*c*x))/(2*(-b*c)^(3/2))","B"
24,1,9298,278,44.562315,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\frac{4\,C\,e\,\mathrm{atan}\left(\frac{67108864\,C^5\,a^8\,c^7\,f^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}+\frac{37748736\,C^5\,a^4\,b^4\,c^7\,e^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}-\frac{100663296\,C^5\,a^6\,b^2\,c^7\,e^2\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}\right)}{b\,\sqrt{c}\,f^2}-\frac{4\,B\,\mathrm{atan}\left(\frac{67108864\,B^5\,a^{16}\,c^7\,f^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}+\frac{37748736\,B^5\,a^{12}\,b^4\,c^7\,e^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}-\frac{100663296\,B^5\,a^{14}\,b^2\,c^7\,e^2\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}\right)}{b\,\sqrt{c}\,f}-\frac{8\,C\,\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,f\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+c^2+\frac{2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}-\frac{A\,a\,\mathrm{atan}\left(\frac{-{\left(a\,c\right)}^{3/2}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,1{}\mathrm{i}+a\,c\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,2{}\mathrm{i}+a\,c\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,1{}\mathrm{i}+b\,c\,x\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,2{}\mathrm{i}-\sqrt{a}\,c\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,\sqrt{a+b\,x}\,2{}\mathrm{i}}{2\,a^{5/2}\,b\,c^2\,e-2\,a^3\,c^2\,f\,\sqrt{a+b\,x}-2\,a^2\,b\,c^2\,e\,\sqrt{a+b\,x}+2\,a^{5/2}\,b\,c^2\,f\,x+2\,a^{5/2}\,c\,f\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}-2\,a^{3/2}\,b\,c\,e\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}+2\,a\,b\,c\,e\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}\,\sqrt{a+b\,x}}\right)\,2{}\mathrm{i}}{\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}-\frac{C\,e^2\,\mathrm{atan}\left(\frac{\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}}{\frac{131072\,C^4\,a^4\,c^5}{b^8\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{917504\,C^4\,a^4\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}\right)\,2{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{B\,a\,e\,\mathrm{atan}\left(\frac{\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}+\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}-\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}}{\frac{131072\,B^4\,a^4\,c^5}{b^8\,e^4}-\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}+\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}-\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{917504\,B^4\,a^4\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}\right)\,2{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}","Not used",1,"(B*a*e*atan(((B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) + (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) + (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) - (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) - (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)))/((131072*B^4*a^4*c^5)/(b^8*e^4) - (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) + (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) + (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) - (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) - (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (917504*B^4*a^4*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*((a + b*x)^(1/2) - a^(1/2))^2)))*2i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) - (C*e^2*atan(((C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) - (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) + (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)))/((131072*C^4*a^4*c^5)/(b^8*f^4) + (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) - (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) + (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (917504*C^4*a^4*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))*2i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4*B*atan((67108864*B^5*a^16*c^7*f^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2)) + (37748736*B^5*a^12*b^4*c^7*e^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2)) - (100663296*B^5*a^14*b^2*c^7*e^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2))))/(b*c^(1/2)*f) - (A*a*atan((a*c*(a*c - b*c*x)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*2i - (a*c)^(3/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*1i + a*c*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*1i + b*c*x*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*2i - a^(1/2)*c*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*(a + b*x)^(1/2)*2i)/(2*a^(5/2)*b*c^2*e - 2*a^3*c^2*f*(a + b*x)^(1/2) - 2*a^2*b*c^2*e*(a + b*x)^(1/2) + 2*a^(5/2)*b*c^2*f*x + 2*a^(5/2)*c*f*(a*c - b*c*x)^(1/2)*(a*c)^(1/2) - 2*a^(3/2)*b*c*e*(a*c - b*c*x)^(1/2)*(a*c)^(1/2) + 2*a*b*c*e*(a*c - b*c*x)^(1/2)*(a*c)^(1/2)*(a + b*x)^(1/2)))*2i)/(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2) + (4*C*e*atan((67108864*C^5*a^8*c^7*f^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2)) + (37748736*C^5*a^4*b^4*c^7*e^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2)) - (100663296*C^5*a^6*b^2*c^7*e^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2))))/(b*c^(1/2)*f^2) - (8*C*a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*f*((a + b*x)^(1/2) - a^(1/2))^2*(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4/((a + b*x)^(1/2) - a^(1/2))^4 + c^2 + (2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2))","B"
25,-1,-1,322,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^2*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
26,1,9344,363,86.665644,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^3*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(4\,C\,a^4\,c^3\,f^2+2\,C\,a^2\,b^2\,c^3\,e^2\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(68\,C\,a^4\,c^2\,f^2-14\,C\,a^2\,b^2\,c^2\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\left(68\,C\,a^4\,c\,f^2-14\,C\,a^2\,b^2\,c\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\left(4\,C\,a^4\,f^2+2\,C\,a^2\,b^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(48\,C\,a^4\,c\,f^3-24\,C\,a^2\,b^2\,c\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(24\,C\,a^4\,f^3+12\,C\,a^2\,b^2\,e^2\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(24\,C\,a^4\,c^2\,f^3+12\,C\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}+\frac{\frac{\left(4\,A\,a^4\,f^4-10\,A\,a^2\,b^2\,e^2\,f^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}-\frac{\left(4\,A\,a^4\,c^3\,f^4-10\,A\,a^2\,b^2\,c^3\,e^2\,f^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}-\frac{\left(4\,A\,a^4\,c^2\,f^4-58\,A\,a^2\,b^2\,c^2\,e^2\,f^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5\,\left(4\,A\,a^4\,c\,f^4-58\,A\,a^2\,b^2\,c\,e^2\,f^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(-8\,A\,a^4\,f^5+28\,A\,a^2\,b^2\,e^2\,f^3+16\,A\,b^4\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4\,\left(16\,A\,c\,a^4\,f^5-72\,A\,c\,a^2\,b^2\,e^2\,f^3+32\,A\,c\,b^4\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-8\,A\,a^4\,c^2\,f^5+28\,A\,a^2\,b^2\,c^2\,e^2\,f^3+16\,A\,b^4\,c^2\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}-\frac{\frac{\left(32\,B\,a^4\,c^2\,f^3+22\,B\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e^2\,f^4-2\,a^2\,b^3\,e^4\,f^2+b^5\,e^6\right)}-\frac{\left(32\,B\,c\,a^4\,f^3+22\,B\,c\,a^2\,b^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e^2\,f^4-2\,a^2\,b^3\,e^4\,f^2+b^5\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(8\,B\,a^4\,c^2\,f^4+20\,B\,a^2\,b^2\,c^2\,e^2\,f^2+8\,B\,b^4\,c^2\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(8\,B\,a^4\,f^4+20\,B\,a^2\,b^2\,e^2\,f^2+8\,B\,b^4\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}-\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4\,\left(16\,B\,c\,a^4\,f^4+24\,B\,c\,a^2\,b^2\,e^2\,f^2-16\,B\,c\,b^4\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}-\frac{6\,B\,a^2\,b\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,f^4-2\,a^2\,b^2\,e^2\,f^2+b^4\,e^4\right)}+\frac{6\,B\,a^2\,b\,c^3\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,f^4-2\,a^2\,b^2\,e^2\,f^2+b^4\,e^4\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}+\frac{C\,a^2\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)+2\,\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{\frac{4\,\left(4\,C^2\,a^8\,f^4+4\,C^2\,a^6\,b^2\,e^2\,f^2+C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{C\,a^{3/2}\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(8\,C\,a^{17/2}\,f^7\,\sqrt{a\,c}-12\,C\,a^{13/2}\,b^2\,e^2\,f^5\,\sqrt{a\,c}+4\,C\,a^{5/2}\,b^6\,e^6\,f\,\sqrt{a\,c}\right)}{2\,b\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(\frac{\frac{4\,\left(4\,c\,C^2\,a^8\,f^4+4\,c\,C^2\,a^6\,b^2\,e^2\,f^2+c\,C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{8\,C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2}{b\,e\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}-\frac{C\,a^{3/2}\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(8\,C\,a^{17/2}\,c\,f^7\,\sqrt{a\,c}+4\,C\,a^{5/2}\,b^6\,c\,e^6\,f\,\sqrt{a\,c}-12\,C\,a^{13/2}\,b^2\,c\,e^2\,f^5\,\sqrt{a\,c}\right)}{2\,b\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\left(\frac{\frac{4\,\left(4\,C^2\,a^8\,f^4+4\,C^2\,a^6\,b^2\,e^2\,f^2+C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{4\,C^2\,a^{9/2}\,f\,\sqrt{a\,c}\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2}{b^2\,c\,e^2\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\frac{4\,\left(4\,c\,C^2\,a^8\,f^4+4\,c\,C^2\,a^6\,b^2\,e^2\,f^2+c\,C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\,\left(b^{10}\,e^{10}\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^2\,b^8\,e^8\,f^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+6\,a^4\,b^6\,e^6\,f^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^6\,b^4\,e^4\,f^6\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+a^8\,b^2\,e^2\,f^8\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\right)}{16\,C^2\,a^8\,f^4+16\,C^2\,a^6\,b^2\,e^2\,f^2+4\,C^2\,a^4\,b^4\,e^4}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{A\,b^2\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)+2\,\mathrm{atan}\left(\frac{\left(\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(\frac{\frac{4\,\left(c\,A^2\,a^4\,b^4\,f^4+4\,c\,A^2\,a^2\,b^6\,e^2\,f^2+4\,c\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{8\,A^2\,b^3\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2}{e\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}-\frac{A\,b\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(4\,A\,a^{13/2}\,b^2\,c\,f^7\,\sqrt{a\,c}+8\,A\,\sqrt{a}\,b^8\,c\,e^6\,f\,\sqrt{a\,c}-12\,A\,a^{5/2}\,b^6\,c\,e^4\,f^3\,\sqrt{a\,c}\right)}{2\,\sqrt{a}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{\left(\frac{\frac{4\,\left(A^2\,a^4\,b^4\,f^4+4\,A^2\,a^2\,b^6\,e^2\,f^2+4\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{A\,b\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(4\,A\,a^{13/2}\,b^2\,f^7\,\sqrt{a\,c}-12\,A\,a^{5/2}\,b^6\,e^4\,f^3\,\sqrt{a\,c}+8\,A\,\sqrt{a}\,b^8\,e^6\,f\,\sqrt{a\,c}\right)}{2\,\sqrt{a}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{\left(\frac{\frac{4\,\left(A^2\,a^4\,b^4\,f^4+4\,A^2\,a^2\,b^6\,e^2\,f^2+4\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{4\,A^2\,\sqrt{a}\,b^2\,f\,\sqrt{a\,c}\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2}{c\,e^2\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\frac{4\,\left(c\,A^2\,a^4\,b^4\,f^4+4\,c\,A^2\,a^2\,b^6\,e^2\,f^2+4\,c\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\,\left(b^8\,e^{10}\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+a^8\,e^2\,f^8\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^2\,b^6\,e^8\,f^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+6\,a^4\,b^4\,e^6\,f^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^6\,b^2\,e^4\,f^6\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\right)}{4\,A^2\,a^4\,b^2\,f^4+16\,A^2\,a^2\,b^4\,e^2\,f^2+16\,A^2\,b^6\,e^4}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{3\,B\,a^2\,b^2\,e\,f\,\left(2\,\mathrm{atan}\left(\frac{2\,b^3\,c^3\,e^3+2\,b\,c^2\,e\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+2\,a^2\,b\,c^3\,e\,f^2+\frac{3\,a^{3/2}\,f^3\,{\left(a\,c\right)}^{3/2}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{2\,b^3\,c^2\,e^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{3\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{a^{3/2}\,c\,f^3\,{\left(a\,c\right)}^{3/2}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{2\,b\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{10\,a^2\,b\,c^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{7\,\sqrt{a}\,b^2\,c^2\,e^2\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\sqrt{a}\,b^2\,c\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{4\,\sqrt{a}\,b\,c^2\,e\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)-2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}","Not used",1,"((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(4*C*a^4*c^3*f^2 + 2*C*a^2*b^2*c^3*e^2))/(((a + b*x)^(1/2) - a^(1/2))*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(68*C*a^4*c^2*f^2 - 14*C*a^2*b^2*c^2*e^2))/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - ((68*C*a^4*c*f^2 - 14*C*a^2*b^2*c*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - ((4*C*a^4*f^2 + 2*C*a^2*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - (a^(1/2)*(a*c)^(1/2)*(48*C*a^4*c*f^3 - 24*C*a^2*b^2*c*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(24*C*a^4*f^3 + 12*C*a^2*b^2*e^2*f))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)) + (a^(1/2)*(a*c)^(1/2)*(24*C*a^4*c^2*f^3 + 12*C*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) + (((4*A*a^4*f^4 - 10*A*a^2*b^2*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) - ((4*A*a^4*c^3*f^4 - 10*A*a^2*b^2*c^3*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) - ((4*A*a^4*c^2*f^4 - 58*A*a^2*b^2*c^2*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5*(4*A*a^4*c*f^4 - 58*A*a^2*b^2*c*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*A*b^4*e^4*f - 8*A*a^4*f^5 + 28*A*a^2*b^2*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4*(16*A*a^4*c*f^5 + 32*A*b^4*c*e^4*f - 72*A*a^2*b^2*c*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(16*A*b^4*c^2*e^4*f - 8*A*a^4*c^2*f^5 + 28*A*a^2*b^2*c^2*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) - (((32*B*a^4*c^2*f^3 + 22*B*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^6 + a^4*b*e^2*f^4 - 2*a^2*b^3*e^4*f^2)) - ((32*B*a^4*c*f^3 + 22*B*a^2*b^2*c*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^6 + a^4*b*e^2*f^4 - 2*a^2*b^3*e^4*f^2)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(8*B*a^4*c^2*f^4 + 8*B*b^4*c^2*e^4 + 20*B*a^2*b^2*c^2*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(8*B*a^4*f^4 + 8*B*b^4*e^4 + 20*B*a^2*b^2*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) - (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4*(16*B*a^4*c*f^4 - 16*B*b^4*c*e^4 + 24*B*a^2*b^2*c*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) - (6*B*a^2*b*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(a^4*f^4 + b^4*e^4 - 2*a^2*b^2*e^2*f^2)) + (6*B*a^2*b*c^3*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(a^4*f^4 + b^4*e^4 - 2*a^2*b^2*e^2*f^2)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) + (C*a^2*(2*a^2*f^2 + b^2*e^2)*(2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) + 2*atan(((((((4*(4*C^2*a^8*f^4 + C^2*a^4*b^4*e^4 + 4*C^2*a^6*b^2*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (C*a^(3/2)*(2*a^2*f^2 + b^2*e^2)*(8*C*a^(17/2)*f^7*(a*c)^(1/2) - 12*C*a^(13/2)*b^2*e^2*f^5*(a*c)^(1/2) + 4*C*a^(5/2)*b^6*e^6*f*(a*c)^(1/2)))/(2*b*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(((4*(4*C^2*a^8*c*f^4 + C^2*a^4*b^4*c*e^4 + 4*C^2*a^6*b^2*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (8*C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2)/(b*e*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)) - (C*a^(3/2)*(2*a^2*f^2 + b^2*e^2)*(8*C*a^(17/2)*c*f^7*(a*c)^(1/2) + 4*C*a^(5/2)*b^6*c*e^6*f*(a*c)^(1/2) - 12*C*a^(13/2)*b^2*c*e^2*f^5*(a*c)^(1/2)))/(2*b*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8))))/((a + b*x)^(1/2) - a^(1/2)) - ((((4*(4*C^2*a^8*f^4 + C^2*a^4*b^4*e^4 + 4*C^2*a^6*b^2*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (4*C^2*a^(9/2)*f*(a*c)^(1/2)*(2*a^2*f^2 + b^2*e^2)^2)/(b^2*c*e^2*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - ((4*(4*C^2*a^8*c*f^4 + C^2*a^4*b^4*c*e^4 + 4*C^2*a^6*b^2*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))*(b^10*e^10*(a^2*c*f^2 - b^2*c*e^2) - 4*a^2*b^8*e^8*f^2*(a^2*c*f^2 - b^2*c*e^2) + 6*a^4*b^6*e^6*f^4*(a^2*c*f^2 - b^2*c*e^2) - 4*a^6*b^4*e^4*f^6*(a^2*c*f^2 - b^2*c*e^2) + a^8*b^2*e^2*f^8*(a^2*c*f^2 - b^2*c*e^2)))/(16*C^2*a^8*f^4 + 4*C^2*a^4*b^4*e^4 + 16*C^2*a^6*b^2*e^2*f^2))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (A*b^2*(a^2*f^2 + 2*b^2*e^2)*(2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) + 2*atan((((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(((4*(4*A^2*b^8*c*e^4 + A^2*a^4*b^4*c*f^4 + 4*A^2*a^2*b^6*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (8*A^2*b^3*(a^2*f^2 + 2*b^2*e^2)^2)/(e*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)) - (A*b*(a^2*f^2 + 2*b^2*e^2)*(4*A*a^(13/2)*b^2*c*f^7*(a*c)^(1/2) + 8*A*a^(1/2)*b^8*c*e^6*f*(a*c)^(1/2) - 12*A*a^(5/2)*b^6*c*e^4*f^3*(a*c)^(1/2)))/(2*a^(1/2)*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8))))/((a + b*x)^(1/2) - a^(1/2)) + ((((4*(4*A^2*b^8*e^4 + A^2*a^4*b^4*f^4 + 4*A^2*a^2*b^6*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (A*b*(a^2*f^2 + 2*b^2*e^2)*(4*A*a^(13/2)*b^2*f^7*(a*c)^(1/2) - 12*A*a^(5/2)*b^6*e^4*f^3*(a*c)^(1/2) + 8*A*a^(1/2)*b^8*e^6*f*(a*c)^(1/2)))/(2*a^(1/2)*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 - ((((4*(4*A^2*b^8*e^4 + A^2*a^4*b^4*f^4 + 4*A^2*a^2*b^6*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (4*A^2*a^(1/2)*b^2*f*(a*c)^(1/2)*(a^2*f^2 + 2*b^2*e^2)^2)/(c*e^2*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - ((4*(4*A^2*b^8*c*e^4 + A^2*a^4*b^4*c*f^4 + 4*A^2*a^2*b^6*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))*(b^8*e^10*(a^2*c*f^2 - b^2*c*e^2) + a^8*e^2*f^8*(a^2*c*f^2 - b^2*c*e^2) - 4*a^2*b^6*e^8*f^2*(a^2*c*f^2 - b^2*c*e^2) + 6*a^4*b^4*e^6*f^4*(a^2*c*f^2 - b^2*c*e^2) - 4*a^6*b^2*e^4*f^6*(a^2*c*f^2 - b^2*c*e^2)))/(16*A^2*b^6*e^4 + 4*A^2*a^4*b^2*f^4 + 16*A^2*a^2*b^4*e^2*f^2))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (3*B*a^2*b^2*e*f*(2*atan((2*b^3*c^3*e^3 + 2*b*c^2*e*(a^2*c*f^2 - b^2*c*e^2) + 2*a^2*b*c^3*e*f^2 + (3*a^(3/2)*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (2*b^3*c^2*e^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (3*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^3 - (a^(3/2)*c*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + (2*b*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^2 + (a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (10*a^2*b*c^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (7*a^(1/2)*b^2*c^2*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (a^(1/2)*b^2*c*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(4*a^(1/2)*b*c^2*e*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) - 2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2))","B"
27,1,4167,501,161.428369,"\text{Not used}","int(((e + f*x)^3*(A + B*x + C*x^2))/((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{\frac{\left(\frac{23\,B\,a^4\,c\,f^3}{2}-18\,B\,a^2\,b^2\,c\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}\,\left(\frac{3\,B\,a^4\,f^3}{2}+6\,B\,a^2\,b^2\,e^2\,f\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}-\frac{\left(\frac{3\,B\,a^4\,c^7\,f^3}{2}+6\,B\,a^2\,b^2\,c^7\,e^2\,f\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{\left(\frac{23\,B\,a^4\,c^6\,f^3}{2}-18\,B\,a^2\,b^2\,c^6\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{\left(\frac{333\,B\,a^4\,c^5\,f^3}{2}+90\,B\,a^2\,b^2\,c^5\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{\left(\frac{333\,B\,a^4\,c^2\,f^3}{2}+90\,B\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}-\frac{\left(\frac{671\,B\,a^4\,c^4\,f^3}{2}-66\,B\,a^2\,b^2\,c^4\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{\left(\frac{671\,B\,a^4\,c^3\,f^3}{2}-66\,B\,a^2\,b^2\,c^3\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(192\,B\,a^2\,c^5\,e\,f^2+48\,B\,b^2\,c^5\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(128\,B\,a^2\,c^3\,e\,f^2+160\,B\,b^2\,c^3\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(256\,B\,a^2\,c^4\,e\,f^2+120\,B\,b^2\,c^4\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(256\,B\,a^2\,c^2\,e\,f^2+120\,B\,b^2\,c^2\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}\,\left(192\,B\,c\,a^2\,e\,f^2+48\,B\,c\,b^2\,e^3\right)}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{8\,B\,\sqrt{a}\,e^3\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}+\frac{8\,B\,\sqrt{a}\,c^6\,e^3\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+c^8+\frac{8\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}+\frac{8\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{28\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{56\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{70\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{56\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{28\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}}-\frac{\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(64\,A\,a^2\,c^3\,f^3+96\,A\,b^2\,c^3\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{128\,A\,a^2\,c^2\,f^3}{3}-144\,A\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8\,\left(64\,A\,c\,a^2\,f^3+96\,A\,c\,b^2\,e^2\,f\right)}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{6\,A\,a^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}-\frac{6\,A\,a^2\,c^5\,e\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{30\,A\,a^2\,c\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}+\frac{24\,A\,\sqrt{a}\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{30\,A\,a^2\,c^4\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{36\,A\,a^2\,c^3\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{36\,A\,a^2\,c^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{24\,A\,\sqrt{a}\,c^4\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+c^6+\frac{6\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{6\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{15\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{20\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{15\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}}-\frac{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{19}\,\left(\frac{9\,C\,a^4\,e\,f^2}{2}+2\,C\,a^2\,b^2\,e^3\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{19}}-\frac{\left(2\,C\,a^2\,b^2\,c\,e^3-\frac{87\,C\,a^4\,c\,e\,f^2}{2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{17}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{17}}-\frac{\left(\frac{9\,C\,a^4\,c^9\,e\,f^2}{2}+2\,C\,a^2\,b^2\,c^9\,e^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{\left(\frac{87\,C\,a^4\,c^8\,e\,f^2}{2}-2\,C\,a^2\,b^2\,c^8\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{\left(42\,C\,a^4\,c^6\,e\,f^2-88\,C\,a^2\,b^2\,c^6\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{\left(42\,C\,a^4\,c^3\,e\,f^2-88\,C\,a^2\,b^2\,c^3\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}+\frac{\left(426\,C\,a^4\,c^7\,e\,f^2+40\,C\,a^2\,b^2\,c^7\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{\left(426\,C\,a^4\,c^2\,e\,f^2+40\,C\,a^2\,b^2\,c^2\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}-\frac{\left(507\,C\,a^4\,c^5\,e\,f^2-52\,C\,a^2\,b^2\,c^5\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}+\frac{\left(507\,C\,a^4\,c^4\,e\,f^2-52\,C\,a^2\,b^2\,c^4\,e^3\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{2048\,C\,a^4\,c^6\,f^3}{3}+640\,C\,a^2\,b^2\,c^6\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{b^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{2048\,C\,a^4\,c^2\,f^3}{3}+640\,C\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{b^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{4096\,C\,a^4\,c^5\,f^3}{3}-832\,C\,a^2\,b^2\,c^5\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{b^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{4096\,C\,a^4\,c^3\,f^3}{3}-832\,C\,a^2\,b^2\,c^3\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{b^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{12288\,C\,a^4\,c^4\,f^3}{5}+768\,C\,a^2\,b^2\,c^4\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{b^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{192\,C\,a^{5/2}\,c\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+\frac{192\,C\,a^{5/2}\,c^7\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{20}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{20}}+c^{10}+\frac{10\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{18}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{18}}+\frac{10\,c^9\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{45\,c^8\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{120\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{210\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{252\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{210\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{120\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}+\frac{45\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}}-\frac{2\,A\,e\,\mathrm{atan}\left(\frac{A\,e\,\left(3\,a^2\,f^2+2\,b^2\,e^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{c}\,\left(3\,A\,a^2\,e\,f^2+2\,A\,b^2\,e^3\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,\left(3\,a^2\,f^2+2\,b^2\,e^2\right)}{b^3\,\sqrt{c}}-\frac{3\,B\,a^2\,f\,\mathrm{atan}\left(\frac{B\,a^2\,f\,\left(a^2\,f^2+4\,b^2\,e^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{c}\,\left(B\,a^4\,f^3+4\,B\,a^2\,b^2\,e^2\,f\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,\left(a^2\,f^2+4\,b^2\,e^2\right)}{2\,b^5\,\sqrt{c}}-\frac{C\,a^2\,e\,\mathrm{atan}\left(\frac{C\,a^2\,e\,\left(9\,a^2\,f^2+4\,b^2\,e^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{c}\,\left(9\,C\,a^4\,e\,f^2+4\,C\,a^2\,b^2\,e^3\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,\left(9\,a^2\,f^2+4\,b^2\,e^2\right)}{2\,b^5\,\sqrt{c}}","Not used",1,"- ((((23*B*a^4*c*f^3)/2 - 18*B*a^2*b^2*c*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(b^5*((a + b*x)^(1/2) - a^(1/2))^13) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15*((3*B*a^4*f^3)/2 + 6*B*a^2*b^2*e^2*f))/(b^5*((a + b*x)^(1/2) - a^(1/2))^15) - (((3*B*a^4*c^7*f^3)/2 + 6*B*a^2*b^2*c^7*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^5*((a + b*x)^(1/2) - a^(1/2))) - (((23*B*a^4*c^6*f^3)/2 - 18*B*a^2*b^2*c^6*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b^5*((a + b*x)^(1/2) - a^(1/2))^3) + (((333*B*a^4*c^5*f^3)/2 + 90*B*a^2*b^2*c^5*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b^5*((a + b*x)^(1/2) - a^(1/2))^5) - (((333*B*a^4*c^2*f^3)/2 + 90*B*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(b^5*((a + b*x)^(1/2) - a^(1/2))^11) - (((671*B*a^4*c^4*f^3)/2 - 66*B*a^2*b^2*c^4*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b^5*((a + b*x)^(1/2) - a^(1/2))^7) + (((671*B*a^4*c^3*f^3)/2 - 66*B*a^2*b^2*c^3*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(b^5*((a + b*x)^(1/2) - a^(1/2))^9) + (a^(1/2)*(a*c)^(1/2)*(48*B*b^2*c^5*e^3 + 192*B*a^2*c^5*e*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^4*((a + b*x)^(1/2) - a^(1/2))^4) + (a^(1/2)*(a*c)^(1/2)*(160*B*b^2*c^3*e^3 + 128*B*a^2*c^3*e*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/(b^4*((a + b*x)^(1/2) - a^(1/2))^8) + (a^(1/2)*(a*c)^(1/2)*(120*B*b^2*c^4*e^3 + 256*B*a^2*c^4*e*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(b^4*((a + b*x)^(1/2) - a^(1/2))^6) + (a^(1/2)*(a*c)^(1/2)*(120*B*b^2*c^2*e^3 + 256*B*a^2*c^2*e*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/(b^4*((a + b*x)^(1/2) - a^(1/2))^10) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12*(48*B*b^2*c*e^3 + 192*B*a^2*c*e*f^2))/(b^4*((a + b*x)^(1/2) - a^(1/2))^12) + (8*B*a^(1/2)*e^3*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/(b^2*((a + b*x)^(1/2) - a^(1/2))^14) + (8*B*a^(1/2)*c^6*e^3*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*((a + b*x)^(1/2) - a^(1/2))^2))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16/((a + b*x)^(1/2) - a^(1/2))^16 + c^8 + (8*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14 + (8*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (28*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (56*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (70*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (56*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (28*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12) - ((a^(1/2)*(a*c)^(1/2)*(64*A*a^2*c^3*f^3 + 96*A*b^2*c^3*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^4*((a + b*x)^(1/2) - a^(1/2))^4) - (a^(1/2)*(a*c)^(1/2)*((128*A*a^2*c^2*f^3)/3 - 144*A*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(b^4*((a + b*x)^(1/2) - a^(1/2))^6) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8*(64*A*a^2*c*f^3 + 96*A*b^2*c*e^2*f))/(b^4*((a + b*x)^(1/2) - a^(1/2))^8) + (6*A*a^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(b^3*((a + b*x)^(1/2) - a^(1/2))^11) - (6*A*a^2*c^5*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^3*((a + b*x)^(1/2) - a^(1/2))) - (30*A*a^2*c*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(b^3*((a + b*x)^(1/2) - a^(1/2))^9) + (24*A*a^(1/2)*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/(b^2*((a + b*x)^(1/2) - a^(1/2))^10) + (30*A*a^2*c^4*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b^3*((a + b*x)^(1/2) - a^(1/2))^3) + (36*A*a^2*c^3*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b^3*((a + b*x)^(1/2) - a^(1/2))^5) - (36*A*a^2*c^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b^3*((a + b*x)^(1/2) - a^(1/2))^7) + (24*A*a^(1/2)*c^4*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*((a + b*x)^(1/2) - a^(1/2))^2))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12/((a + b*x)^(1/2) - a^(1/2))^12 + c^6 + (6*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (6*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (15*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (20*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (15*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8) - ((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^19*((9*C*a^4*e*f^2)/2 + 2*C*a^2*b^2*e^3))/(b^5*((a + b*x)^(1/2) - a^(1/2))^19) - ((2*C*a^2*b^2*c*e^3 - (87*C*a^4*c*e*f^2)/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^17)/(b^5*((a + b*x)^(1/2) - a^(1/2))^17) - (((9*C*a^4*c^9*e*f^2)/2 + 2*C*a^2*b^2*c^9*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^5*((a + b*x)^(1/2) - a^(1/2))) - (((87*C*a^4*c^8*e*f^2)/2 - 2*C*a^2*b^2*c^8*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b^5*((a + b*x)^(1/2) - a^(1/2))^3) - ((42*C*a^4*c^6*e*f^2 - 88*C*a^2*b^2*c^6*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b^5*((a + b*x)^(1/2) - a^(1/2))^7) + ((42*C*a^4*c^3*e*f^2 - 88*C*a^2*b^2*c^3*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(b^5*((a + b*x)^(1/2) - a^(1/2))^13) + ((426*C*a^4*c^7*e*f^2 + 40*C*a^2*b^2*c^7*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b^5*((a + b*x)^(1/2) - a^(1/2))^5) - ((426*C*a^4*c^2*e*f^2 + 40*C*a^2*b^2*c^2*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15)/(b^5*((a + b*x)^(1/2) - a^(1/2))^15) - ((507*C*a^4*c^5*e*f^2 - 52*C*a^2*b^2*c^5*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(b^5*((a + b*x)^(1/2) - a^(1/2))^9) + ((507*C*a^4*c^4*e*f^2 - 52*C*a^2*b^2*c^4*e^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(b^5*((a + b*x)^(1/2) - a^(1/2))^11) + (a^(1/2)*(a*c)^(1/2)*((2048*C*a^4*c^6*f^3)/3 + 640*C*a^2*b^2*c^6*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(b^6*((a + b*x)^(1/2) - a^(1/2))^6) + (a^(1/2)*(a*c)^(1/2)*((2048*C*a^4*c^2*f^3)/3 + 640*C*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/(b^6*((a + b*x)^(1/2) - a^(1/2))^14) - (a^(1/2)*(a*c)^(1/2)*((4096*C*a^4*c^5*f^3)/3 - 832*C*a^2*b^2*c^5*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/(b^6*((a + b*x)^(1/2) - a^(1/2))^8) - (a^(1/2)*(a*c)^(1/2)*((4096*C*a^4*c^3*f^3)/3 - 832*C*a^2*b^2*c^3*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/(b^6*((a + b*x)^(1/2) - a^(1/2))^12) + (a^(1/2)*(a*c)^(1/2)*((12288*C*a^4*c^4*f^3)/5 + 768*C*a^2*b^2*c^4*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/(b^6*((a + b*x)^(1/2) - a^(1/2))^10) + (192*C*a^(5/2)*c*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16)/(b^4*((a + b*x)^(1/2) - a^(1/2))^16) + (192*C*a^(5/2)*c^7*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^4*((a + b*x)^(1/2) - a^(1/2))^4))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^20/((a + b*x)^(1/2) - a^(1/2))^20 + c^10 + (10*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^18)/((a + b*x)^(1/2) - a^(1/2))^18 + (10*c^9*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (45*c^8*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (120*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (210*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (252*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (210*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12 + (120*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14 + (45*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16)/((a + b*x)^(1/2) - a^(1/2))^16) - (2*A*e*atan((A*e*(3*a^2*f^2 + 2*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(c^(1/2)*(2*A*b^2*e^3 + 3*A*a^2*e*f^2)*((a + b*x)^(1/2) - a^(1/2))))*(3*a^2*f^2 + 2*b^2*e^2))/(b^3*c^(1/2)) - (3*B*a^2*f*atan((B*a^2*f*(a^2*f^2 + 4*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(c^(1/2)*(B*a^4*f^3 + 4*B*a^2*b^2*e^2*f)*((a + b*x)^(1/2) - a^(1/2))))*(a^2*f^2 + 4*b^2*e^2))/(2*b^5*c^(1/2)) - (C*a^2*e*atan((C*a^2*e*(9*a^2*f^2 + 4*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(c^(1/2)*(9*C*a^4*e*f^2 + 4*C*a^2*b^2*e^3)*((a + b*x)^(1/2) - a^(1/2))))*(9*a^2*f^2 + 4*b^2*e^2))/(2*b^5*c^(1/2))","B"
28,1,2799,368,81.648131,"\text{Not used}","int(((e + f*x)^2*(A + B*x + C*x^2))/((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(64\,B\,c\,a^2\,f^2+32\,B\,c\,b^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(64\,B\,a^2\,c^3\,f^2+32\,B\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(\frac{128\,B\,a^2\,c^2\,f^2}{3}-48\,B\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{4\,B\,a^2\,e\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}+\frac{8\,B\,\sqrt{a}\,e^2\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{20\,B\,a^2\,c^4\,e\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{24\,B\,a^2\,c^3\,e\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{24\,B\,a^2\,c^2\,e\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,B\,\sqrt{a}\,c^4\,e^2\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{4\,B\,a^2\,c^5\,e\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{20\,B\,a^2\,c\,e\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+c^6+\frac{6\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{6\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{15\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{20\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{15\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}}-\frac{\frac{2\,A\,a^2\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{14\,A\,a^2\,c^2\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{2\,A\,a^2\,c^3\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^3\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{14\,A\,a^2\,c\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b^3\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{16\,A\,\sqrt{a}\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{32\,A\,\sqrt{a}\,c\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{16\,A\,\sqrt{a}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{4\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{4\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{6\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}}-\frac{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5\,\left(\frac{333\,C\,a^4\,c^5\,f^2}{2}+30\,C\,a^2\,b^2\,c^5\,e^2\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}-\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(\frac{23\,C\,a^4\,c^6\,f^2}{2}-6\,C\,a^2\,b^2\,c^6\,e^2\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(\frac{3\,C\,a^4\,c^7\,f^2}{2}+2\,C\,a^2\,b^2\,c^7\,e^2\right)}{b^5\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{11}\,\left(\frac{333\,C\,a^4\,c^2\,f^2}{2}+30\,C\,a^2\,b^2\,c^2\,e^2\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{11}}-\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7\,\left(\frac{671\,C\,a^4\,c^4\,f^2}{2}-22\,C\,a^2\,b^2\,c^4\,e^2\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^9\,\left(\frac{671\,C\,a^4\,c^3\,f^2}{2}-22\,C\,a^2\,b^2\,c^3\,e^2\right)}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^9}+\frac{\left(\frac{23\,C\,a^4\,c\,f^2}{2}-6\,C\,a^2\,b^2\,c\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{13}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{13}}+\frac{\left(\frac{3\,C\,a^4\,f^2}{2}+2\,C\,a^2\,b^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{15}}{b^5\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{15}}+\frac{128\,C\,a^{5/2}\,c\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}+\frac{128\,C\,a^{5/2}\,c^5\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{512\,C\,a^{5/2}\,c^4\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{3\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{256\,C\,a^{5/2}\,c^3\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{3\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{512\,C\,a^{5/2}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{3\,b^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{16}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{16}}+c^8+\frac{8\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{14}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{14}}+\frac{8\,c^7\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{28\,c^6\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{56\,c^5\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{70\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{56\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{10}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{10}}+\frac{28\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^{12}}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^{12}}}-\frac{2\,A\,\mathrm{atan}\left(\frac{A\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{c}\,\left(A\,a^2\,f^2+2\,A\,b^2\,e^2\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,\left(a^2\,f^2+2\,b^2\,e^2\right)}{b^3\,\sqrt{c}}-\frac{C\,a^2\,\mathrm{atan}\left(\frac{C\,a^2\,\left(3\,a^2\,f^2+4\,b^2\,e^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{c}\,\left(3\,C\,a^4\,f^2+4\,C\,a^2\,b^2\,e^2\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,\left(3\,a^2\,f^2+4\,b^2\,e^2\right)}{2\,b^5\,\sqrt{c}}-\frac{4\,B\,a^2\,e\,f\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{b^3\,\sqrt{c}}","Not used",1,"- ((a^(1/2)*(a*c)^(1/2)*(64*B*a^2*c*f^2 + 32*B*b^2*c*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/(b^4*((a + b*x)^(1/2) - a^(1/2))^8) + (a^(1/2)*(a*c)^(1/2)*(64*B*a^2*c^3*f^2 + 32*B*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^4*((a + b*x)^(1/2) - a^(1/2))^4) - (a^(1/2)*(a*c)^(1/2)*((128*B*a^2*c^2*f^2)/3 - 48*B*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(b^4*((a + b*x)^(1/2) - a^(1/2))^6) + (4*B*a^2*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11)/(b^3*((a + b*x)^(1/2) - a^(1/2))^11) + (8*B*a^(1/2)*e^2*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/(b^2*((a + b*x)^(1/2) - a^(1/2))^10) + (20*B*a^2*c^4*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b^3*((a + b*x)^(1/2) - a^(1/2))^3) + (24*B*a^2*c^3*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b^3*((a + b*x)^(1/2) - a^(1/2))^5) - (24*B*a^2*c^2*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b^3*((a + b*x)^(1/2) - a^(1/2))^7) + (8*B*a^(1/2)*c^4*e^2*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*((a + b*x)^(1/2) - a^(1/2))^2) - (4*B*a^2*c^5*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^3*((a + b*x)^(1/2) - a^(1/2))) - (20*B*a^2*c*e*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9)/(b^3*((a + b*x)^(1/2) - a^(1/2))^9))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12/((a + b*x)^(1/2) - a^(1/2))^12 + c^6 + (6*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (6*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (15*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (20*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (15*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8) - ((2*A*a^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b^3*((a + b*x)^(1/2) - a^(1/2))^7) + (14*A*a^2*c^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b^3*((a + b*x)^(1/2) - a^(1/2))^3) - (2*A*a^2*c^3*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^3*((a + b*x)^(1/2) - a^(1/2))) - (14*A*a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b^3*((a + b*x)^(1/2) - a^(1/2))^5) + (16*A*a^(1/2)*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(b^2*((a + b*x)^(1/2) - a^(1/2))^6) + (32*A*a^(1/2)*c*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*((a + b*x)^(1/2) - a^(1/2))^4) + (16*A*a^(1/2)*c^2*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*((a + b*x)^(1/2) - a^(1/2))^2))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (4*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (4*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (6*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4) - ((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5*((333*C*a^4*c^5*f^2)/2 + 30*C*a^2*b^2*c^5*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))^5) - (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*((23*C*a^4*c^6*f^2)/2 - 6*C*a^2*b^2*c^6*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))^3) - (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*((3*C*a^4*c^7*f^2)/2 + 2*C*a^2*b^2*c^7*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))) - (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^11*((333*C*a^4*c^2*f^2)/2 + 30*C*a^2*b^2*c^2*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))^11) - (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7*((671*C*a^4*c^4*f^2)/2 - 22*C*a^2*b^2*c^4*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))^7) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^9*((671*C*a^4*c^3*f^2)/2 - 22*C*a^2*b^2*c^3*e^2))/(b^5*((a + b*x)^(1/2) - a^(1/2))^9) + (((23*C*a^4*c*f^2)/2 - 6*C*a^2*b^2*c*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^13)/(b^5*((a + b*x)^(1/2) - a^(1/2))^13) + (((3*C*a^4*f^2)/2 + 2*C*a^2*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^15)/(b^5*((a + b*x)^(1/2) - a^(1/2))^15) + (128*C*a^(5/2)*c*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/(b^4*((a + b*x)^(1/2) - a^(1/2))^12) + (128*C*a^(5/2)*c^5*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^4*((a + b*x)^(1/2) - a^(1/2))^4) + (512*C*a^(5/2)*c^4*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/(3*b^4*((a + b*x)^(1/2) - a^(1/2))^6) + (256*C*a^(5/2)*c^3*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/(3*b^4*((a + b*x)^(1/2) - a^(1/2))^8) + (512*C*a^(5/2)*c^2*e*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/(3*b^4*((a + b*x)^(1/2) - a^(1/2))^10))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^16/((a + b*x)^(1/2) - a^(1/2))^16 + c^8 + (8*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^14)/((a + b*x)^(1/2) - a^(1/2))^14 + (8*c^7*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (28*c^6*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (56*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6 + (70*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (56*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^10)/((a + b*x)^(1/2) - a^(1/2))^10 + (28*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^12)/((a + b*x)^(1/2) - a^(1/2))^12) - (2*A*atan((A*(a^2*f^2 + 2*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(c^(1/2)*(A*a^2*f^2 + 2*A*b^2*e^2)*((a + b*x)^(1/2) - a^(1/2))))*(a^2*f^2 + 2*b^2*e^2))/(b^3*c^(1/2)) - (C*a^2*atan((C*a^2*(3*a^2*f^2 + 4*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(c^(1/2)*(3*C*a^4*f^2 + 4*C*a^2*b^2*e^2)*((a + b*x)^(1/2) - a^(1/2))))*(3*a^2*f^2 + 4*b^2*e^2))/(2*b^5*c^(1/2)) - (4*B*a^2*e*f*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^3*c^(1/2))","B"
29,1,1011,246,30.743276,"\text{Not used}","int(((e + f*x)*(A + B*x + C*x^2))/((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{\frac{2\,B\,a^2\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}-\frac{2\,B\,a^2\,c^3\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{14\,B\,a^2\,c\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{14\,B\,a^2\,c^2\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{b^3\,c^4+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{4\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{6\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{4\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}}-\frac{\frac{2\,C\,a^2\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}-\frac{2\,C\,a^2\,c^3\,e\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{14\,C\,a^2\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{14\,C\,a^2\,c^2\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{b^3\,c^4+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{4\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{6\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{4\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}}-\frac{\sqrt{a\,c-b\,c\,x}\,\left(\frac{2\,C\,a^3\,f}{3\,b^4\,c}+\frac{C\,f\,x^3}{3\,b\,c}+\frac{C\,a\,f\,x^2}{3\,b^2\,c}+\frac{2\,C\,a^2\,f\,x}{3\,b^3\,c}\right)}{\sqrt{a+b\,x}}-\frac{4\,A\,e\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{b^2\,c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{b^2\,c}}-\frac{A\,f\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{b^2\,c}-\frac{B\,e\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{b^2\,c}-\frac{2\,B\,a^2\,f\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{b^3\,\sqrt{c}}-\frac{2\,C\,a^2\,e\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{b^3\,\sqrt{c}}","Not used",1,"- ((2*B*a^2*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/((a + b*x)^(1/2) - a^(1/2))^7 - (2*B*a^2*c^3*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (14*B*a^2*c*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/((a + b*x)^(1/2) - a^(1/2))^5 + (14*B*a^2*c^2*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(b^3*c^4 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (4*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (6*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (4*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6) - ((2*C*a^2*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/((a + b*x)^(1/2) - a^(1/2))^7 - (2*C*a^2*c^3*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (14*C*a^2*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/((a + b*x)^(1/2) - a^(1/2))^5 + (14*C*a^2*c^2*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(b^3*c^4 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (4*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (6*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (4*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6) - ((a*c - b*c*x)^(1/2)*((2*C*a^3*f)/(3*b^4*c) + (C*f*x^3)/(3*b*c) + (C*a*f*x^2)/(3*b^2*c) + (2*C*a^2*f*x)/(3*b^3*c)))/(a + b*x)^(1/2) - (4*A*e*atan((b*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((b^2*c)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^2*c)^(1/2) - (A*f*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(b^2*c) - (B*e*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(b^2*c) - (2*B*a^2*f*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^3*c^(1/2)) - (2*C*a^2*e*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^3*c^(1/2))","B"
30,1,489,177,14.952377,"\text{Not used}","int((A + B*x + C*x^2)/((a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","-\frac{\frac{2\,C\,a^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}-\frac{2\,C\,a^2\,c^3\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{14\,C\,a^2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{14\,C\,a^2\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{b^3\,c^4+\frac{b^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+\frac{4\,b^3\,c^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{6\,b^3\,c^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+\frac{4\,b^3\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}}-\frac{4\,A\,\mathrm{atan}\left(\frac{b\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{b^2\,c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{\sqrt{b^2\,c}}-\frac{2\,C\,a^2\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{b^3\,\sqrt{c}}-\frac{B\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a+b\,x}}{b^2\,c}","Not used",1,"- ((2*C*a^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/((a + b*x)^(1/2) - a^(1/2))^7 - (2*C*a^2*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (14*C*a^2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/((a + b*x)^(1/2) - a^(1/2))^5 + (14*C*a^2*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(b^3*c^4 + (b^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8)/((a + b*x)^(1/2) - a^(1/2))^8 + (4*b^3*c^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (6*b^3*c^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/((a + b*x)^(1/2) - a^(1/2))^4 + (4*b^3*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6)/((a + b*x)^(1/2) - a^(1/2))^6) - (4*A*atan((b*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((b^2*c)^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^2*c)^(1/2) - (2*C*a^2*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b^3*c^(1/2)) - (B*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2))/(b^2*c)","B"
31,1,9298,278,0.007665,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\frac{4\,C\,e\,\mathrm{atan}\left(\frac{67108864\,C^5\,a^8\,c^7\,f^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}+\frac{37748736\,C^5\,a^4\,b^4\,c^7\,e^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}-\frac{100663296\,C^5\,a^6\,b^2\,c^7\,e^2\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,C^5\,a^8\,c^{15/2}\,f^4+37748736\,C^5\,a^4\,b^4\,c^{15/2}\,e^4-100663296\,C^5\,a^6\,b^2\,c^{15/2}\,e^2\,f^2\right)}\right)}{b\,\sqrt{c}\,f^2}-\frac{4\,B\,\mathrm{atan}\left(\frac{67108864\,B^5\,a^{16}\,c^7\,f^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}+\frac{37748736\,B^5\,a^{12}\,b^4\,c^7\,e^4\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}-\frac{100663296\,B^5\,a^{14}\,b^2\,c^7\,e^2\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(67108864\,B^5\,a^{16}\,c^{15/2}\,f^4+37748736\,B^5\,a^{12}\,b^4\,c^{15/2}\,e^4-100663296\,B^5\,a^{14}\,b^2\,c^{15/2}\,e^2\,f^2\right)}\right)}{b\,\sqrt{c}\,f}-\frac{8\,C\,\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,f\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+c^2+\frac{2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}-\frac{A\,a\,\mathrm{atan}\left(\frac{-{\left(a\,c\right)}^{3/2}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,1{}\mathrm{i}+a\,c\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,2{}\mathrm{i}+a\,c\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,1{}\mathrm{i}+b\,c\,x\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,2{}\mathrm{i}-\sqrt{a}\,c\,\sqrt{a\,c}\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}\,\sqrt{a+b\,x}\,2{}\mathrm{i}}{2\,a^{5/2}\,b\,c^2\,e-2\,a^3\,c^2\,f\,\sqrt{a+b\,x}-2\,a^2\,b\,c^2\,e\,\sqrt{a+b\,x}+2\,a^{5/2}\,b\,c^2\,f\,x+2\,a^{5/2}\,c\,f\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}-2\,a^{3/2}\,b\,c\,e\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}+2\,a\,b\,c\,e\,\sqrt{a\,c-b\,c\,x}\,\sqrt{a\,c}\,\sqrt{a+b\,x}}\right)\,2{}\mathrm{i}}{\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}-\frac{C\,e^2\,\mathrm{atan}\left(\frac{\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}}{\frac{131072\,C^4\,a^4\,c^5}{b^8\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{C\,e^2\,\left(\frac{4096\,\left(32\,C^3\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+24\,C^3\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(16\,C^2\,a^6\,c^6\,f^6+9\,C^2\,a^2\,b^4\,c^6\,e^4\,f^2\right)}{b^8\,e^4\,f^4}+\frac{C\,e^2\,\left(\frac{4096\,\left(24\,C\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-30\,C\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4}-\frac{C\,e^2\,\left(\frac{4096\,\left(7\,a^4\,b^4\,c^7\,f^8-9\,a^2\,b^6\,c^7\,e^2\,f^6\right)}{b^8\,e^4\,f^4}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(5\,a^{5/2}\,b^2\,c^4\,f^7\,{\left(a\,c\right)}^{5/2}-6\,a^{3/2}\,b^4\,c^5\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(11\,a^4\,b^4\,c^6\,f^8-9\,a^2\,b^6\,c^6\,e^2\,f^6\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{16384\,\left(20\,C\,a^6\,c^6\,f^6-22\,C\,a^4\,b^2\,c^6\,e^2\,f^4\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,\left(96\,C\,a^{5/2}\,b^2\,c^3\,f^7\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^4\,c^4\,e^2\,f^5\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,C^2\,a^6\,c^5\,f^6+128\,C^2\,a^4\,b^2\,c^5\,e^2\,f^4+9\,C^2\,a^2\,b^4\,c^5\,e^4\,f^2\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{16384\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(8\,C^2\,a^{5/2}\,c^3\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}+3\,C^2\,a^{3/2}\,b^2\,c^4\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^7\,e^5\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}-\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(32\,C^3\,a^{5/2}\,c^2\,e^2\,f^3\,{\left(a\,c\right)}^{5/2}-96\,C^3\,a^{3/2}\,b^2\,c^3\,e^4\,f\,{\left(a\,c\right)}^{3/2}\right)}{b^8\,e^4\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{458752\,C^3\,a^4\,c^5\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e\,f^2\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{917504\,C^4\,a^4\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,f^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}\right)\,2{}\mathrm{i}}{f^2\,\sqrt{a^2\,c\,f^2-b^2\,c\,e^2}}+\frac{B\,a\,e\,\mathrm{atan}\left(\frac{\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}+\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}-\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}}{\frac{131072\,B^4\,a^4\,c^5}{b^8\,e^4}-\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}+\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{B\,a\,e\,\left(\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^3\,e\,f^2\,{\left(a\,c\right)}^{5/2}+24\,B^3\,a^{15/2}\,b^2\,c^4\,e^3\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}-\frac{4096\,\left(32\,B^3\,a^{17/2}\,c^2\,e\,f^2\,{\left(a\,c\right)}^{5/2}-96\,B^3\,a^{15/2}\,b^2\,c^3\,e^3\,{\left(a\,c\right)}^{3/2}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{B\,a\,e\,\left(\frac{4096\,\left(16\,B^2\,a^{12}\,c^6\,f^4+9\,B^2\,a^8\,b^4\,c^6\,e^4\right)}{a^6\,b^8\,e^6}-\frac{B\,a\,e\,\left(\frac{4096\,\left(24\,B\,a^{17/2}\,b^2\,c^4\,e\,f^4\,{\left(a\,c\right)}^{5/2}-30\,B\,a^{15/2}\,b^4\,c^5\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6}+\frac{16384\,\left(20\,B\,a^{12}\,c^6\,f^5-22\,B\,a^{10}\,b^2\,c^6\,e^2\,f^3\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{B\,a\,e\,\left(\frac{4096\,\left(9\,a^8\,b^6\,c^7\,e^4\,f^2-7\,a^{10}\,b^4\,c^7\,e^2\,f^4\right)}{a^6\,b^8\,e^6}+\frac{4096\,\left(9\,a^8\,b^6\,c^6\,e^4\,f^2-11\,a^{10}\,b^4\,c^6\,e^2\,f^4\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{16384\,\left(5\,a^{17/2}\,b^2\,c^4\,e\,f^5\,{\left(a\,c\right)}^{5/2}-6\,a^{15/2}\,b^4\,c^5\,e^3\,f^3\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(96\,B\,a^{17/2}\,b^2\,c^3\,e\,f^4\,{\left(a\,c\right)}^{5/2}-90\,B\,a^{15/2}\,b^4\,c^4\,e^3\,f^2\,{\left(a\,c\right)}^{3/2}\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{16384\,\left(8\,B^2\,a^{17/2}\,c^3\,e\,f^3\,{\left(a\,c\right)}^{5/2}+3\,B^2\,a^{15/2}\,b^2\,c^4\,e^3\,f\,{\left(a\,c\right)}^{3/2}\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{a^6\,b^7\,e^6\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{4096\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-144\,B^2\,a^{12}\,c^5\,f^4+128\,B^2\,a^{10}\,b^2\,c^5\,e^2\,f^2+9\,B^2\,a^8\,b^4\,c^5\,e^4\right)}{a^6\,b^8\,e^6\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{458752\,B^3\,a^4\,c^5\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b^7\,e^4\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}+\frac{917504\,B^4\,a^4\,c^4\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^8\,e^4\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}\right)\,2{}\mathrm{i}}{f\,\sqrt{a^4\,c\,f^2-a^2\,b^2\,c\,e^2}}","Not used",1,"(B*a*e*atan(((B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) + (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) + (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) - (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) - (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)))/((131072*B^4*a^4*c^5)/(b^8*e^4) - (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) + (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (B*a*e*((4096*(32*B^3*a^(17/2)*c^3*e*f^2*(a*c)^(5/2) + 24*B^3*a^(15/2)*b^2*c^4*e^3*(a*c)^(3/2)))/(a^6*b^8*e^6) - (4096*(32*B^3*a^(17/2)*c^2*e*f^2*(a*c)^(5/2) - 96*B^3*a^(15/2)*b^2*c^3*e^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) + (B*a*e*((4096*(16*B^2*a^12*c^6*f^4 + 9*B^2*a^8*b^4*c^6*e^4))/(a^6*b^8*e^6) - (B*a*e*((4096*(24*B*a^(17/2)*b^2*c^4*e*f^4*(a*c)^(5/2) - 30*B*a^(15/2)*b^4*c^5*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6) + (16384*(20*B*a^12*c^6*f^5 - 22*B*a^10*b^2*c^6*e^2*f^3)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) - (B*a*e*((4096*(9*a^8*b^6*c^7*e^4*f^2 - 7*a^10*b^4*c^7*e^2*f^4))/(a^6*b^8*e^6) + (4096*(9*a^8*b^6*c^6*e^4*f^2 - 11*a^10*b^4*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2) - (16384*(5*a^(17/2)*b^2*c^4*e*f^5*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^3*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(96*B*a^(17/2)*b^2*c^3*e*f^4*(a*c)^(5/2) - 90*B*a^(15/2)*b^4*c^4*e^3*f^2*(a*c)^(3/2)))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (16384*(8*B^2*a^(17/2)*c^3*e*f^3*(a*c)^(5/2) + 3*B^2*a^(15/2)*b^2*c^4*e^3*f*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(a^6*b^7*e^6*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*B^2*a^8*b^4*c^5*e^4 - 144*B^2*a^12*c^5*f^4 + 128*B^2*a^10*b^2*c^5*e^2*f^2))/(a^6*b^8*e^6*((a + b*x)^(1/2) - a^(1/2))^2)))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (458752*B^3*a^4*c^5*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^4*((a + b*x)^(1/2) - a^(1/2)))))/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) + (917504*B^4*a^4*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*((a + b*x)^(1/2) - a^(1/2))^2)))*2i)/(f*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)) - (C*e^2*atan(((C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) - (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) + (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2))))*1i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)))/((131072*C^4*a^4*c^5)/(b^8*f^4) + (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) - (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) + (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (C*e^2*((4096*(32*C^3*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 24*C^3*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(16*C^2*a^6*c^6*f^6 + 9*C^2*a^2*b^4*c^6*e^4*f^2))/(b^8*e^4*f^4) + (C*e^2*((4096*(24*C*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 30*C*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^8*e^4*f^4) - (C*e^2*((4096*(7*a^4*b^4*c^7*f^8 - 9*a^2*b^6*c^7*e^2*f^6))/(b^8*e^4*f^4) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(5*a^(5/2)*b^2*c^4*f^7*(a*c)^(5/2) - 6*a^(3/2)*b^4*c^5*e^2*f^5*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(11*a^4*b^4*c^6*f^8 - 9*a^2*b^6*c^6*e^2*f^6))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (16384*(20*C*a^6*c^6*f^6 - 22*C*a^4*b^2*c^6*e^2*f^4)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2))) + (4096*(96*C*a^(5/2)*b^2*c^3*f^7*(a*c)^(5/2) - 90*C*a^(3/2)*b^4*c^4*e^2*f^5*(a*c)^(3/2))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(9*C^2*a^2*b^4*c^5*e^4*f^2 - 144*C^2*a^6*c^5*f^6 + 128*C^2*a^4*b^2*c^5*e^2*f^4))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (16384*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(8*C^2*a^(5/2)*c^3*e^2*f^3*(a*c)^(5/2) + 3*C^2*a^(3/2)*b^2*c^4*e^4*f*(a*c)^(3/2)))/(b^7*e^5*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4096*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(32*C^3*a^(5/2)*c^2*e^2*f^3*(a*c)^(5/2) - 96*C^3*a^(3/2)*b^2*c^3*e^4*f*(a*c)^(3/2)))/(b^8*e^4*f^4*((a + b*x)^(1/2) - a^(1/2))^2) + (458752*C^3*a^4*c^5*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b^7*e*f^2*((a + b*x)^(1/2) - a^(1/2)))))/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) + (917504*C^4*a^4*c^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^8*f^4*((a + b*x)^(1/2) - a^(1/2))^2)))*2i)/(f^2*(a^2*c*f^2 - b^2*c*e^2)^(1/2)) - (4*B*atan((67108864*B^5*a^16*c^7*f^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2)) + (37748736*B^5*a^12*b^4*c^7*e^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2)) - (100663296*B^5*a^14*b^2*c^7*e^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*B^5*a^16*c^(15/2)*f^4 + 37748736*B^5*a^12*b^4*c^(15/2)*e^4 - 100663296*B^5*a^14*b^2*c^(15/2)*e^2*f^2))))/(b*c^(1/2)*f) - (A*a*atan((a*c*(a*c - b*c*x)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*2i - (a*c)^(3/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*1i + a*c*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*1i + b*c*x*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*2i - a^(1/2)*c*(a*c)^(1/2)*(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2)*(a + b*x)^(1/2)*2i)/(2*a^(5/2)*b*c^2*e - 2*a^3*c^2*f*(a + b*x)^(1/2) - 2*a^2*b*c^2*e*(a + b*x)^(1/2) + 2*a^(5/2)*b*c^2*f*x + 2*a^(5/2)*c*f*(a*c - b*c*x)^(1/2)*(a*c)^(1/2) - 2*a^(3/2)*b*c*e*(a*c - b*c*x)^(1/2)*(a*c)^(1/2) + 2*a*b*c*e*(a*c - b*c*x)^(1/2)*(a*c)^(1/2)*(a + b*x)^(1/2)))*2i)/(a^4*c*f^2 - a^2*b^2*c*e^2)^(1/2) + (4*C*e*atan((67108864*C^5*a^8*c^7*f^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2)) + (37748736*C^5*a^4*b^4*c^7*e^4*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2)) - (100663296*C^5*a^6*b^2*c^7*e^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(67108864*C^5*a^8*c^(15/2)*f^4 + 37748736*C^5*a^4*b^4*c^(15/2)*e^4 - 100663296*C^5*a^6*b^2*c^(15/2)*e^2*f^2))))/(b*c^(1/2)*f^2) - (8*C*a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*f*((a + b*x)^(1/2) - a^(1/2))^2*(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4/((a + b*x)^(1/2) - a^(1/2))^4 + c^2 + (2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2))","B"
32,1,106511,322,19.396684,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^2*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\frac{\frac{4\,B\,a^2\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(b^3\,e^3-a^2\,b\,e\,f^2\right)}+\frac{8\,B\,\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{\left(a^2\,f^2-b^2\,e^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{4\,B\,a^2\,c\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(b^3\,e^3-a^2\,b\,e\,f^2\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+c^2+\frac{2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{4\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{4\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}}-\frac{\frac{4\,C\,a^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{\left(b^3\,e^2-a^2\,b\,f^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{4\,C\,a^2\,c\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(b^3\,e^2-a^2\,b\,f^2\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}+\frac{8\,C\,\sqrt{a}\,e\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{\left(a^2\,f^3-b^2\,e^2\,f\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+c^2+\frac{2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{4\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{4\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}}+\frac{\frac{4\,A\,a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(b^3\,e^4-a^2\,b\,e^2\,f^2\right)\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{4\,A\,a^2\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{\left(b^3\,e^4-a^2\,b\,e^2\,f^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{8\,A\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{\left(b^2\,e^3-a^2\,e\,f^2\right)\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}+c^2+\frac{2\,c\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{4\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{4\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}}-\frac{4\,C\,\mathrm{atan}\left(\frac{\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}}{\sqrt{c}\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}\right)}{b\,\sqrt{c}\,f^2}+\frac{2\,A\,b^2\,e\,\left(\mathrm{atan}\left(\frac{2\,b^3\,c^3\,e^3+2\,b\,c^2\,e\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+2\,a^2\,b\,c^3\,e\,f^2+\frac{3\,a^{3/2}\,f^3\,{\left(a\,c\right)}^{3/2}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{2\,b^3\,c^2\,e^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{3\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{a^{3/2}\,c\,f^3\,{\left(a\,c\right)}^{3/2}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{2\,b\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{10\,a^2\,b\,c^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{7\,\sqrt{a}\,b^2\,c^2\,e^2\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\sqrt{a}\,b^2\,c\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{4\,\sqrt{a}\,b\,c^2\,e\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)-\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\right)}{\left(a\,f+b\,e\right)\,\left(a\,f-b\,e\right)\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}-\frac{2\,B\,a^2\,f\,\left(\mathrm{atan}\left(\frac{2\,b^3\,c^3\,e^3+2\,b\,c^2\,e\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+2\,a^2\,b\,c^3\,e\,f^2+\frac{3\,a^{3/2}\,f^3\,{\left(a\,c\right)}^{3/2}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{2\,b^3\,c^2\,e^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{3\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{a^{3/2}\,c\,f^3\,{\left(a\,c\right)}^{3/2}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{2\,b\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{10\,a^2\,b\,c^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{7\,\sqrt{a}\,b^2\,c^2\,e^2\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\sqrt{a}\,b^2\,c\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{4\,\sqrt{a}\,b\,c^2\,e\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)-\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\right)}{\left(a\,f+b\,e\right)\,\left(a\,f-b\,e\right)\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}-\frac{C\,e\,\left(2\,a^2\,f^2-b^2\,e^2\right)\,\left(2\,\mathrm{atan}\left(\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(\frac{8\,a^4\,b^6\,c^4\,e^6\,f^4\,\left(\frac{4096\,C^3\,e^3\,{\left(2\,a^2\,f^2-b^2\,e^2\right)}^3\,\left(136\,C\,a^{21/2}\,b^2\,c^3\,e\,f^{15}\,{\left(a\,c\right)}^{5/2}-90\,C\,a^{3/2}\,b^{12}\,c^4\,e^{11}\,f^5\,{\left(a\,c\right)}^{3/2}+96\,C\,a^{5/2}\,b^{10}\,c^3\,e^9\,f^7\,{\left(a\,c\right)}^{5/2}+394\,C\,a^{7/2}\,b^{10}\,c^4\,e^9\,f^7\,{\left(a\,c\right)}^{3/2}-424\,C\,a^{9/2}\,b^8\,c^3\,e^7\,f^9\,{\left(a\,c\right)}^{5/2}-642\,C\,a^{11/2}\,b^8\,c^4\,e^7\,f^9\,{\left(a\,c\right)}^{3/2}+696\,C\,a^{13/2}\,b^6\,c^3\,e^5\,f^{11}\,{\left(a\,c\right)}^{5/2}+462\,C\,a^{15/2}\,b^6\,c^4\,e^5\,f^{11}\,{\left(a\,c\right)}^{3/2}-504\,C\,a^{17/2}\,b^4\,c^3\,e^3\,f^{13}\,{\left(a\,c\right)}^{5/2}-124\,C\,a^{19/2}\,b^4\,c^4\,e^3\,f^{13}\,{\left(a\,c\right)}^{3/2}\right)}{f^6\,{\left(a\,f+b\,e\right)}^3\,{\left(a\,f-b\,e\right)}^3\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}\,\left(a^8\,b^8\,e^6\,f^{12}-4\,a^6\,b^{10}\,e^8\,f^{10}+6\,a^4\,b^{12}\,e^{10}\,f^8-4\,a^2\,b^{14}\,e^{12}\,f^6+b^{16}\,e^{14}\,f^4\right)}-\frac{4096\,C\,e\,\left(2\,a^2\,f^2-b^2\,e^2\right)\,\left(64\,C^3\,a^{21/2}\,c^2\,e\,f^{11}\,{\left(a\,c\right)}^{5/2}+32\,C^3\,a^{5/2}\,b^8\,c^2\,e^9\,f^3\,{\left(a\,c\right)}^{5/2}+600\,C^3\,a^{7/2}\,b^8\,c^3\,e^9\,f^3\,{\left(a\,c\right)}^{3/2}-160\,C^3\,a^{9/2}\,b^6\,c^2\,e^7\,f^5\,{\left(a\,c\right)}^{5/2}-1376\,C^3\,a^{11/2}\,b^6\,c^3\,e^7\,f^5\,{\left(a\,c\right)}^{3/2}+288\,C^3\,a^{13/2}\,b^4\,c^2\,e^5\,f^7\,{\left(a\,c\right)}^{5/2}+1368\,C^3\,a^{15/2}\,b^4\,c^3\,e^5\,f^7\,{\left(a\,c\right)}^{3/2}-224\,C^3\,a^{17/2}\,b^2\,c^2\,e^3\,f^9\,{\left(a\,c\right)}^{5/2}-496\,C^3\,a^{19/2}\,b^2\,c^3\,e^3\,f^9\,{\left(a\,c\right)}^{3/2}-96\,C^3\,a^{3/2}\,b^{10}\,c^3\,e^{11}\,f\,{\left(a\,c\right)}^{3/2}\right)}{f^2\,\left(a\,f+b\,e\right)\,\left(a\,f-b\,e\right)\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^8\,e^6\,f^{12}-4\,a^6\,b^{10}\,e^8\,f^{10}+6\,a^4\,b^{12}\,e^{10}\,f^8-4\,a^2\,b^{14}\,e^{12}\,f^6+b^{16}\,e^{14}\,f^4\right)}\right)\,\left(4\,a^2\,c\,f^2-3\,b^2\,c\,e^2\right)\,{\left(4\,c\,a^6\,f^6-8\,c\,a^4\,b^2\,e^2\,f^4+8\,c\,a^2\,b^4\,e^4\,f^2-3\,c\,b^6\,e^6\right)}^4}{164025\,b^{46}\,c^{13}\,e^{46}+885735\,b^{44}\,c^{12}\,e^{44}\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+117440512\,a^{30}\,c^5\,f^{30}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^8-385875968\,a^{32}\,c^6\,f^{32}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^7+419430400\,a^{34}\,c^7\,f^{34}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^6-150994944\,a^{36}\,c^8\,f^{36}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^5+236196\,b^{36}\,c^8\,e^{36}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^5+1102248\,b^{38}\,c^9\,e^{38}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^4+2053593\,b^{40}\,c^{10}\,e^{40}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^3+1909251\,b^{42}\,c^{11}\,e^{42}\,{\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}^2-3937329\,a^2\,b^{44}\,c^{13}\,e^{44}\,f^2+43893819\,a^4\,b^{42}\,c^{13}\,e^{42}\,f^4-301507155\,a^6\,b^{40}\,c^{13}\,e^{40}\,f^6+1427514656\,a^8\,b^{38}\,c^{13}\,e^{38}\,f^8-4936911112\,a^{10}\,b^{36}\,c^{13}\,e^{36}\,f^{10}+12893273616\,a^{12}\,b^{34}\,c^{13}\,e^{34}\,f^{12}-25921630432\,a^{14}\,b^{32}\,c^{13}\,e^{32}\,f^{14}+40519286096\,a^{16}\,b^{30}\,c^{13}\,e^{30}\,f^{16}-49376608256\,a^{18}\,b^{28}\,c^{13}\,e^{28}\,f^{18}+46721401856\,a^{20}\,b^{26}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t)}^{3/2}+273130561984\,a^{20}\,b^{24}\,c^{12}\,e^{24}\,f^{20}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}-212730002688\,a^{22}\,b^{22}\,c^{12}\,e^{22}\,f^{22}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}+129574234368\,a^{24}\,b^{20}\,c^{12}\,e^{20}\,f^{24}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}-60770569216\,a^{26}\,b^{18}\,c^{12}\,e^{18}\,f^{26}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}+21304706048\,a^{28}\,b^{16}\,c^{12}\,e^{16}\,f^{28}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}-5272965120\,a^{30}\,b^{14}\,c^{12}\,e^{14}\,f^{30}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}+819441664\,a^{32}\,b^{12}\,c^{12}\,e^{12}\,f^{32}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}-59392000\,a^{34}\,b^{10}\,c^{12}\,e^{10}\,f^{34}\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}+3937329\,a^2\,b^{44}\,c^{13}\,e^{44}\,f^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-43893819\,a^4\,b^{42}\,c^{13}\,e^{42}\,f^4\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+301507155\,a^6\,b^{40}\,c^{13}\,e^{40}\,f^6\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-1427514656\,a^8\,b^{38}\,c^{13}\,e^{38}\,f^8\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+4936911112\,a^{10}\,b^{36}\,c^{13}\,e^{36}\,f^{10}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-12893273616\,a^{12}\,b^{34}\,c^{13}\,e^{34}\,f^{12}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+25921630432\,a^{14}\,b^{32}\,c^{13}\,e^{32}\,f^{14}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-40519286096\,a^{16}\,b^{30}\,c^{13}\,e^{30}\,f^{16}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+49376608256\,a^{18}\,b^{28}\,c^{13}\,e^{28}\,f^{18}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-46721401856\,a^{20}\,b^{26}\,c^{13}\,e^{26}\,f^{20}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+33946324736\,a^{22}\,b^{24}\,c^{13}\,e^{24}\,f^{22}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-18556579328\,a^{24}\,b^{22}\,c^{13}\,e^{22}\,f^{24}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+7375276032\,a^{26}\,b^{20}\,c^{13}\,e^{20}\,f^{26}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-2009817088\,a^{28}\,b^{18}\,c^{13}\,e^{18}\,f^{28}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}+335642624\,a^{30}\,b^{16}\,c^{13}\,e^{16}\,f^{30}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}-25907200\,a^{32}\,b^{14}\,c^{13}\,e^{14}\,f^{32}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\right)}{16384\,a^{17/2}\,b^{19}\,c\,e^{19}\,f^{15}\,{\left(a\,c\right)}^{13/2}-2048\,a^{13/2}\,b^{21}\,c\,e^{21}\,f^{13}\,{\left(a\,c\right)}^{13/2}-57344\,a^{21/2}\,b^{17}\,c\,e^{17}\,f^{17}\,{\left(a\,c\right)}^{13/2}+114688\,a^{25/2}\,b^{15}\,c\,e^{15}\,f^{19}\,{\left(a\,c\right)}^{13/2}-143360\,a^{29/2}\,b^{13}\,c\,e^{13}\,f^{21}\,{\left(a\,c\right)}^{13/2}+114688\,a^{33/2}\,b^{11}\,c\,e^{11}\,f^{23}\,{\left(a\,c\right)}^{13/2}-57344\,a^{37/2}\,b^9\,c\,e^9\,f^{25}\,{\left(a\,c\right)}^{13/2}+16384\,a^{41/2}\,b^7\,c\,e^7\,f^{27}\,{\left(a\,c\right)}^{13/2}-2048\,a^{45/2}\,b^5\,c\,e^5\,f^{29}\,{\left(a\,c\right)}^{13/2}+486\,a^{3/2}\,b^{31}\,c^6\,e^{31}\,f^3\,{\left(a\,c\right)}^{3/2}-3240\,a^{5/2}\,b^{29}\,c^5\,e^{29}\,f^5\,{\left(a\,c\right)}^{5/2}+8640\,a^{7/2}\,b^{27}\,c^4\,e^{27}\,f^7\,{\left(a\,c\right)}^{7/2}-2592\,a^{7/2}\,b^{29}\,c^6\,e^{29}\,f^5\,{\left(a\,c\right)}^{3/2}-11520\,a^{9/2}\,b^{25}\,c^3\,e^{25}\,f^9\,{\left(a\,c\right)}^{9/2}+19008\,a^{9/2}\,b^{27}\,c^5\,e^{27}\,f^7\,{\left(a\,c\right)}^{5/2}+7680\,a^{11/2}\,b^{23}\,c^2\,e^{23}\,f^{11}\,{\left(a\,c\right)}^{11/2}-55296\,a^{11/2}\,b^{25}\,c^4\,e^{25}\,f^9\,{\left(a\,c\right)}^{7/2}+5184\,a^{11/2}\,b^{27}\,c^6\,e^{27}\,f^7\,{\left(a\,c\right)}^{3/2}+79872\,a^{13/2}\,b^{23}\,c^3\,e^{23}\,f^{11}\,{\left(a\,c\right)}^{9/2}-44064\,a^{13/2}\,b^{25}\,c^5\,e^{25}\,f^9\,{\left(a\,c\right)}^{5/2}-57344\,a^{15/2}\,b^{21}\,c^2\,e^{21}\,f^{13}\,{\left(a\,c\right)}^{11/2}+145152\,a^{15/2}\,b^{23}\,c^4\,e^{23}\,f^{11}\,{\left(a\,c\right)}^{7/2}-4608\,a^{15/2}\,b^{25}\,c^6\,e^{25}\,f^9\,{\left(a\,c\right)}^{3/2}-233472\,a^{17/2}\,b^{21}\,c^3\,e^{21}\,f^{13}\,{\left(a\,c\right)}^{9/2}+50304\,a^{17/2}\,b^{23}\,c^5\,e^{23}\,f^{11}\,{\left(a\,c\right)}^{5/2}+184320\,a^{19/2}\,b^{19}\,c^2\,e^{19}\,f^{15}\,{\left(a\,c\right)}^{11/2}-199424\,a^{19/2}\,b^{21}\,c^4\,e^{21}\,f^{13}\,{\left(a\,c\right)}^{7/2}+1536\,a^{19/2}\,b^{23}\,c^6\,e^{23}\,f^{11}\,{\left(a\,c\right)}^{3/2}+371712\,a^{21/2}\,b^{19}\,c^3\,e^{19}\,f^{15}\,{\left(a\,c\right)}^{9/2}-28160\,a^{21/2}\,b^{21}\,c^5\,e^{21}\,f^{13}\,{\left(a\,c\right)}^{5/2}-331776\,a^{23/2}\,b^{17}\,c^2\,e^{17}\,f^{17}\,{\left(a\,c\right)}^{11/2}+150592\,a^{23/2}\,b^{19}\,c^4\,e^{19}\,f^{15}\,{\left(a\,c\right)}^{7/2}-346368\,a^{25/2}\,b^{17}\,c^3\,e^{17}\,f^{17}\,{\left(a\,c\right)}^{9/2}+6144\,a^{25/2}\,b^{19}\,c^5\,e^{19}\,f^{15}\,{\left(a\,c\right)}^{5/2}+363520\,a^{27/2}\,b^{15}\,c^2\,e^{15}\,f^{19}\,{\left(a\,c\right)}^{11/2}-58880\,a^{27/2}\,b^{17}\,c^4\,e^{17}\,f^{17}\,{\left(a\,c\right)}^{7/2}+187392\,a^{29/2}\,b^{15}\,c^3\,e^{15}\,f^{19}\,{\left(a\,c\right)}^{9/2}-245760\,a^{31/2}\,b^{13}\,c^2\,e^{13}\,f^{21}\,{\left(a\,c\right)}^{11/2}+9216\,a^{31/2}\,b^{15}\,c^4\,e^{15}\,f^{19}\,{\left(a\,c\right)}^{7/2}-53760\,a^{33/2}\,b^{13}\,c^3\,e^{13}\,f^{21}\,{\left(a\,c\right)}^{9/2}+98304\,a^{35/2}\,b^{11}\,c^2\,e^{11}\,f^{23}\,{\left(a\,c\right)}^{11/2}+6144\,a^{37/2}\,b^{11}\,c^3\,e^{11}\,f^{23}\,{\left(a\,c\right)}^{9/2}-20480\,a^{39/2}\,b^9\,c^2\,e^9\,f^{25}\,{\left(a\,c\right)}^{11/2}+1536\,a^{43/2}\,b^7\,c^2\,e^7\,f^{27}\,{\left(a\,c\right)}^{11/2}}\right)\right)}{f^2\,\left(a\,f+b\,e\right)\,\left(a\,f-b\,e\right)\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}","Not used",1,"((4*B*a^2*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(((a + b*x)^(1/2) - a^(1/2))^3*(b^3*e^3 - a^2*b*e*f^2)) + (8*B*a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a^2*f^2 - b^2*e^2)*((a + b*x)^(1/2) - a^(1/2))^2) - (4*B*a^2*c*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(b^3*e^3 - a^2*b*e*f^2)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4/((a + b*x)^(1/2) - a^(1/2))^4 + c^2 + (2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (4*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3) + (4*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2)))) - ((4*C*a^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((b^3*e^2 - a^2*b*f^2)*((a + b*x)^(1/2) - a^(1/2))^3) - (4*C*a^2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((b^3*e^2 - a^2*b*f^2)*((a + b*x)^(1/2) - a^(1/2))) + (8*C*a^(1/2)*e*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a^2*f^3 - b^2*e^2*f)*((a + b*x)^(1/2) - a^(1/2))^2))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4/((a + b*x)^(1/2) - a^(1/2))^4 + c^2 + (2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (4*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3) + (4*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2)))) + ((4*A*a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((b^3*e^4 - a^2*b*e^2*f^2)*((a + b*x)^(1/2) - a^(1/2))) - (4*A*a^2*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((b^3*e^4 - a^2*b*e^2*f^2)*((a + b*x)^(1/2) - a^(1/2))^3) + (8*A*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((b^2*e^3 - a^2*e*f^2)*((a + b*x)^(1/2) - a^(1/2))^2))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4/((a + b*x)^(1/2) - a^(1/2))^4 + c^2 + (2*c*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (4*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3) + (4*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2)))) - (4*C*atan(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))/(c^(1/2)*((a + b*x)^(1/2) - a^(1/2)))))/(b*c^(1/2)*f^2) + (2*A*b^2*e*(atan((2*b^3*c^3*e^3 + 2*b*c^2*e*(a^2*c*f^2 - b^2*c*e^2) + 2*a^2*b*c^3*e*f^2 + (3*a^(3/2)*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (2*b^3*c^2*e^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (3*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^3 - (a^(3/2)*c*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + (2*b*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^2 + (a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (10*a^2*b*c^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (7*a^(1/2)*b^2*c^2*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (a^(1/2)*b^2*c*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(4*a^(1/2)*b*c^2*e*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) - atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))))/((a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) - (2*B*a^2*f*(atan((2*b^3*c^3*e^3 + 2*b*c^2*e*(a^2*c*f^2 - b^2*c*e^2) + 2*a^2*b*c^3*e*f^2 + (3*a^(3/2)*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (2*b^3*c^2*e^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (3*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^3 - (a^(3/2)*c*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + (2*b*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^2 + (a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (10*a^2*b*c^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (7*a^(1/2)*b^2*c^2*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (a^(1/2)*b^2*c*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(4*a^(1/2)*b*c^2*e*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) - atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))))/((a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) - (C*e*(2*a^2*f^2 - b^2*e^2)*(2*atan((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*((8*a^4*b^6*c^4*e^6*f^4*((4096*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(136*C*a^(21/2)*b^2*c^3*e*f^15*(a*c)^(5/2) - 90*C*a^(3/2)*b^12*c^4*e^11*f^5*(a*c)^(3/2) + 96*C*a^(5/2)*b^10*c^3*e^9*f^7*(a*c)^(5/2) + 394*C*a^(7/2)*b^10*c^4*e^9*f^7*(a*c)^(3/2) - 424*C*a^(9/2)*b^8*c^3*e^7*f^9*(a*c)^(5/2) - 642*C*a^(11/2)*b^8*c^4*e^7*f^9*(a*c)^(3/2) + 696*C*a^(13/2)*b^6*c^3*e^5*f^11*(a*c)^(5/2) + 462*C*a^(15/2)*b^6*c^4*e^5*f^11*(a*c)^(3/2) - 504*C*a^(17/2)*b^4*c^3*e^3*f^13*(a*c)^(5/2) - 124*C*a^(19/2)*b^4*c^4*e^3*f^13*(a*c)^(3/2)))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) - (4096*C*e*(2*a^2*f^2 - b^2*e^2)*(64*C^3*a^(21/2)*c^2*e*f^11*(a*c)^(5/2) + 32*C^3*a^(5/2)*b^8*c^2*e^9*f^3*(a*c)^(5/2) + 600*C^3*a^(7/2)*b^8*c^3*e^9*f^3*(a*c)^(3/2) - 160*C^3*a^(9/2)*b^6*c^2*e^7*f^5*(a*c)^(5/2) - 1376*C^3*a^(11/2)*b^6*c^3*e^7*f^5*(a*c)^(3/2) + 288*C^3*a^(13/2)*b^4*c^2*e^5*f^7*(a*c)^(5/2) + 1368*C^3*a^(15/2)*b^4*c^3*e^5*f^7*(a*c)^(3/2) - 224*C^3*a^(17/2)*b^2*c^2*e^3*f^9*(a*c)^(5/2) - 496*C^3*a^(19/2)*b^2*c^3*e^3*f^9*(a*c)^(3/2) - 96*C^3*a^(3/2)*b^10*c^3*e^11*f*(a*c)^(3/2)))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2) + (2*a^4*b^5*c^3*e^5*f^4*(4*a^2*c*f^2 - 3*b^2*c*e^2)^2*((16384*(12*C^4*a^(7/2)*b^4*c^3*e^7*(a*c)^(3/2) + 48*C^4*a^(15/2)*c^3*e^3*f^4*(a*c)^(3/2) - 48*C^4*a^(11/2)*b^2*c^3*e^5*f^2*(a*c)^(3/2)))/(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9) + (16384*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(5*a^(17/2)*b^2*c^4*e*f^14*(a*c)^(5/2) + 6*a^(3/2)*b^10*c^5*e^9*f^6*(a*c)^(3/2) - 5*a^(5/2)*b^8*c^4*e^7*f^8*(a*c)^(5/2) - 18*a^(7/2)*b^8*c^5*e^7*f^8*(a*c)^(3/2) + 15*a^(9/2)*b^6*c^4*e^5*f^10*(a*c)^(5/2) + 18*a^(11/2)*b^6*c^5*e^5*f^10*(a*c)^(3/2) - 15*a^(13/2)*b^4*c^4*e^3*f^12*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^12*(a*c)^(3/2)))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)) - (16384*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(20*C^2*a^(17/2)*c^3*e*f^10*(a*c)^(5/2) - 3*C^2*a^(3/2)*b^8*c^4*e^9*f^2*(a*c)^(3/2) - 8*C^2*a^(5/2)*b^6*c^3*e^7*f^4*(a*c)^(5/2) + 11*C^2*a^(7/2)*b^6*c^4*e^7*f^4*(a*c)^(3/2) + 36*C^2*a^(9/2)*b^4*c^3*e^5*f^6*(a*c)^(5/2) - 20*C^2*a^(11/2)*b^4*c^4*e^5*f^6*(a*c)^(3/2) - 48*C^2*a^(13/2)*b^2*c^3*e^3*f^8*(a*c)^(5/2) + 12*C^2*a^(15/2)*b^2*c^4*e^3*f^8*(a*c)^(3/2)))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)) + (2*a^(3/2)*b^5*c*e^5*f^3*((16384*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(20*C*a^12*c^6*f^13 + 22*C*a^4*b^8*c^6*e^8*f^5 - 88*C*a^6*b^6*c^6*e^6*f^7 + 130*C*a^8*b^4*c^6*e^4*f^9 - 84*C*a^10*b^2*c^6*e^2*f^11))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)) + (16384*C*e*(2*a^2*f^2 - b^2*e^2)*(96*C^3*a^10*c^5*e^2*f^7 - 28*C^3*a^4*b^6*c^5*e^8*f + 132*C^3*a^6*b^4*c^5*e^6*f^3 - 200*C^3*a^8*b^2*c^5*e^4*f^5))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)))*(a*c)^(3/2)*(4*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2) - (4*a^(3/2)*b^6*c^2*e^6*f^3*(a*c)^(3/2)*(2*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*((4096*(112*C^4*a^4*b^8*c^4*e^10 + 448*C^4*a^12*c^4*e^2*f^8 - 668*C^4*a^6*b^6*c^4*e^8*f^2 + 1440*C^4*a^8*b^4*c^4*e^6*f^4 - 1328*C^4*a^10*b^2*c^4*e^4*f^6))/(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12) + (4096*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(9*a^2*b^14*c^6*e^12*f^6 - 47*a^4*b^12*c^6*e^10*f^8 + 98*a^6*b^10*c^6*e^8*f^10 - 102*a^8*b^8*c^6*e^6*f^12 + 53*a^10*b^6*c^6*e^4*f^14 - 11*a^12*b^4*c^6*e^2*f^16))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(9*C^2*a^2*b^12*c^5*e^12*f^2 - 144*C^2*a^14*c^5*f^14 + 74*C^2*a^4*b^10*c^5*e^10*f^4 - 519*C^2*a^6*b^8*c^5*e^8*f^6 + 1168*C^2*a^8*b^6*c^5*e^6*f^8 - 1264*C^2*a^10*b^4*c^5*e^4*f^10 + 676*C^2*a^12*b^2*c^5*e^2*f^12))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)))*(b^16*e^12*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^2*b^14*e^10*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 + 6*a^4*b^12*e^8*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^6*b^10*e^6*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + a^8*b^8*e^4*f^14*(a^2*c*f^2 - b^2*c*e^2)^2))/(((a + b*x)^(1/2) - a^(1/2))^2*(16384*C^4*a^6*c^3*f^4 + 4096*C^4*a^2*b^4*c^3*e^4 - 16384*C^4*a^4*b^2*c^3*e^2*f^2)) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*((2*a^4*b^5*c^3*e^5*f^4*(4*a^2*c*f^2 - 3*b^2*c*e^2)^2*((4096*(112*C^4*a^4*b^8*c^4*e^10 + 448*C^4*a^12*c^4*e^2*f^8 - 668*C^4*a^6*b^6*c^4*e^8*f^2 + 1440*C^4*a^8*b^4*c^4*e^6*f^4 - 1328*C^4*a^10*b^2*c^4*e^4*f^6))/(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12) + (4096*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(9*a^2*b^14*c^6*e^12*f^6 - 47*a^4*b^12*c^6*e^10*f^8 + 98*a^6*b^10*c^6*e^8*f^10 - 102*a^8*b^8*c^6*e^6*f^12 + 53*a^10*b^6*c^6*e^4*f^14 - 11*a^12*b^4*c^6*e^2*f^16))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(9*C^2*a^2*b^12*c^5*e^12*f^2 - 144*C^2*a^14*c^5*f^14 + 74*C^2*a^4*b^10*c^5*e^10*f^4 - 519*C^2*a^6*b^8*c^5*e^8*f^6 + 1168*C^2*a^8*b^6*c^5*e^6*f^8 - 1264*C^2*a^10*b^4*c^5*e^4*f^10 + 676*C^2*a^12*b^2*c^5*e^2*f^12))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)) - (2*a^(3/2)*b^5*c*e^5*f^3*((4096*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(136*C*a^(21/2)*b^2*c^3*e*f^15*(a*c)^(5/2) - 90*C*a^(3/2)*b^12*c^4*e^11*f^5*(a*c)^(3/2) + 96*C*a^(5/2)*b^10*c^3*e^9*f^7*(a*c)^(5/2) + 394*C*a^(7/2)*b^10*c^4*e^9*f^7*(a*c)^(3/2) - 424*C*a^(9/2)*b^8*c^3*e^7*f^9*(a*c)^(5/2) - 642*C*a^(11/2)*b^8*c^4*e^7*f^9*(a*c)^(3/2) + 696*C*a^(13/2)*b^6*c^3*e^5*f^11*(a*c)^(5/2) + 462*C*a^(15/2)*b^6*c^4*e^5*f^11*(a*c)^(3/2) - 504*C*a^(17/2)*b^4*c^3*e^3*f^13*(a*c)^(5/2) - 124*C*a^(19/2)*b^4*c^4*e^3*f^13*(a*c)^(3/2)))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) - (4096*C*e*(2*a^2*f^2 - b^2*e^2)*(64*C^3*a^(21/2)*c^2*e*f^11*(a*c)^(5/2) + 32*C^3*a^(5/2)*b^8*c^2*e^9*f^3*(a*c)^(5/2) + 600*C^3*a^(7/2)*b^8*c^3*e^9*f^3*(a*c)^(3/2) - 160*C^3*a^(9/2)*b^6*c^2*e^7*f^5*(a*c)^(5/2) - 1376*C^3*a^(11/2)*b^6*c^3*e^7*f^5*(a*c)^(3/2) + 288*C^3*a^(13/2)*b^4*c^2*e^5*f^7*(a*c)^(5/2) + 1368*C^3*a^(15/2)*b^4*c^3*e^5*f^7*(a*c)^(3/2) - 224*C^3*a^(17/2)*b^2*c^2*e^3*f^9*(a*c)^(5/2) - 496*C^3*a^(19/2)*b^2*c^3*e^3*f^9*(a*c)^(3/2) - 96*C^3*a^(3/2)*b^10*c^3*e^11*f*(a*c)^(3/2)))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(a*c)^(3/2)*(4*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2))*(b^16*e^12*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^2*b^14*e^10*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 + 6*a^4*b^12*e^8*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^6*b^10*e^6*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + a^8*b^8*e^4*f^14*(a^2*c*f^2 - b^2*c*e^2)^2))/(((a + b*x)^(1/2) - a^(1/2))^3*(16384*C^4*a^6*c^3*f^4 + 4096*C^4*a^2*b^4*c^3*e^4 - 16384*C^4*a^4*b^2*c^3*e^2*f^2)) - (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*((8*a^4*b^6*c^4*e^6*f^4*((16384*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(20*C*a^12*c^6*f^13 + 22*C*a^4*b^8*c^6*e^8*f^5 - 88*C*a^6*b^6*c^6*e^6*f^7 + 130*C*a^8*b^4*c^6*e^4*f^9 - 84*C*a^10*b^2*c^6*e^2*f^11))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)) + (16384*C*e*(2*a^2*f^2 - b^2*e^2)*(96*C^3*a^10*c^5*e^2*f^7 - 28*C^3*a^4*b^6*c^5*e^8*f + 132*C^3*a^6*b^4*c^5*e^6*f^3 - 200*C^3*a^8*b^2*c^5*e^4*f^5))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)))*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2) - (2*a^4*b^5*c^3*e^5*f^4*(4*a^2*c*f^2 - 3*b^2*c*e^2)^2*((4096*(16*C^4*a^4*b^8*c^5*e^10 + 64*C^4*a^12*c^5*e^2*f^8 - 92*C^4*a^6*b^6*c^5*e^8*f^2 + 192*C^4*a^8*b^4*c^5*e^6*f^4 - 176*C^4*a^10*b^2*c^5*e^4*f^6))/(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12) + (4096*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(9*a^2*b^14*c^7*e^12*f^6 - 43*a^4*b^12*c^7*e^10*f^8 + 82*a^6*b^10*c^7*e^8*f^10 - 78*a^8*b^8*c^7*e^6*f^12 + 37*a^10*b^6*c^7*e^4*f^14 - 7*a^12*b^4*c^7*e^2*f^16))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(16*C^2*a^14*c^6*f^14 + 9*C^2*a^2*b^12*c^6*e^12*f^2 - 54*C^2*a^4*b^10*c^6*e^10*f^4 + 121*C^2*a^6*b^8*c^6*e^8*f^6 - 128*C^2*a^8*b^6*c^6*e^6*f^8 + 80*C^2*a^10*b^4*c^6*e^4*f^10 - 44*C^2*a^12*b^2*c^6*e^2*f^12))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)) + (2*a^(3/2)*b^5*c*e^5*f^3*((4096*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(24*C*a^(21/2)*b^2*c^4*e*f^15*(a*c)^(5/2) - 30*C*a^(3/2)*b^12*c^5*e^11*f^5*(a*c)^(3/2) + 24*C*a^(5/2)*b^10*c^4*e^9*f^7*(a*c)^(5/2) + 126*C*a^(7/2)*b^10*c^5*e^9*f^7*(a*c)^(3/2) - 96*C*a^(9/2)*b^8*c^4*e^7*f^9*(a*c)^(5/2) - 198*C*a^(11/2)*b^8*c^5*e^7*f^9*(a*c)^(3/2) + 144*C*a^(13/2)*b^6*c^4*e^5*f^11*(a*c)^(5/2) + 138*C*a^(15/2)*b^6*c^5*e^5*f^11*(a*c)^(3/2) - 96*C*a^(17/2)*b^4*c^4*e^3*f^13*(a*c)^(5/2) - 36*C*a^(19/2)*b^4*c^5*e^3*f^13*(a*c)^(3/2)))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C*e*(2*a^2*f^2 - b^2*e^2)*(64*C^3*a^(21/2)*c^3*e*f^11*(a*c)^(5/2) + 32*C^3*a^(5/2)*b^8*c^3*e^9*f^3*(a*c)^(5/2) - 160*C^3*a^(7/2)*b^8*c^4*e^9*f^3*(a*c)^(3/2) - 160*C^3*a^(9/2)*b^6*c^3*e^7*f^5*(a*c)^(5/2) + 384*C^3*a^(11/2)*b^6*c^4*e^7*f^5*(a*c)^(3/2) + 288*C^3*a^(13/2)*b^4*c^3*e^5*f^7*(a*c)^(5/2) - 392*C^3*a^(15/2)*b^4*c^4*e^5*f^7*(a*c)^(3/2) - 224*C^3*a^(17/2)*b^2*c^3*e^3*f^9*(a*c)^(5/2) + 144*C^3*a^(19/2)*b^2*c^4*e^3*f^9*(a*c)^(3/2) + 24*C^3*a^(3/2)*b^10*c^4*e^11*f*(a*c)^(3/2)))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(a*c)^(3/2)*(4*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2) + (4*a^(3/2)*b^6*c^2*e^6*f^3*(a*c)^(3/2)*(2*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*((16384*(12*C^4*a^(7/2)*b^4*c^3*e^7*(a*c)^(3/2) + 48*C^4*a^(15/2)*c^3*e^3*f^4*(a*c)^(3/2) - 48*C^4*a^(11/2)*b^2*c^3*e^5*f^2*(a*c)^(3/2)))/(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9) + (16384*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(5*a^(17/2)*b^2*c^4*e*f^14*(a*c)^(5/2) + 6*a^(3/2)*b^10*c^5*e^9*f^6*(a*c)^(3/2) - 5*a^(5/2)*b^8*c^4*e^7*f^8*(a*c)^(5/2) - 18*a^(7/2)*b^8*c^5*e^7*f^8*(a*c)^(3/2) + 15*a^(9/2)*b^6*c^4*e^5*f^10*(a*c)^(5/2) + 18*a^(11/2)*b^6*c^5*e^5*f^10*(a*c)^(3/2) - 15*a^(13/2)*b^4*c^4*e^3*f^12*(a*c)^(5/2) - 6*a^(15/2)*b^4*c^5*e^3*f^12*(a*c)^(3/2)))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)) - (16384*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(20*C^2*a^(17/2)*c^3*e*f^10*(a*c)^(5/2) - 3*C^2*a^(3/2)*b^8*c^4*e^9*f^2*(a*c)^(3/2) - 8*C^2*a^(5/2)*b^6*c^3*e^7*f^4*(a*c)^(5/2) + 11*C^2*a^(7/2)*b^6*c^4*e^7*f^4*(a*c)^(3/2) + 36*C^2*a^(9/2)*b^4*c^3*e^5*f^6*(a*c)^(5/2) - 20*C^2*a^(11/2)*b^4*c^4*e^5*f^6*(a*c)^(3/2) - 48*C^2*a^(13/2)*b^2*c^3*e^3*f^8*(a*c)^(5/2) + 12*C^2*a^(15/2)*b^2*c^4*e^3*f^8*(a*c)^(3/2)))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^13*e^12*f^3 - 3*a^2*b^11*e^10*f^5 + 3*a^4*b^9*e^8*f^7 - a^6*b^7*e^6*f^9)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)))*(b^16*e^12*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^2*b^14*e^10*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 + 6*a^4*b^12*e^8*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^6*b^10*e^6*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + a^8*b^8*e^4*f^14*(a^2*c*f^2 - b^2*c*e^2)^2))/(((a + b*x)^(1/2) - a^(1/2))*(16384*C^4*a^6*c^3*f^4 + 4096*C^4*a^2*b^4*c^3*e^4 - 16384*C^4*a^4*b^2*c^3*e^2*f^2)) + (8*a^4*b^6*c^4*e^6*f^4*((4096*C^3*e^3*(2*a^2*f^2 - b^2*e^2)^3*(24*C*a^(21/2)*b^2*c^4*e*f^15*(a*c)^(5/2) - 30*C*a^(3/2)*b^12*c^5*e^11*f^5*(a*c)^(3/2) + 24*C*a^(5/2)*b^10*c^4*e^9*f^7*(a*c)^(5/2) + 126*C*a^(7/2)*b^10*c^5*e^9*f^7*(a*c)^(3/2) - 96*C*a^(9/2)*b^8*c^4*e^7*f^9*(a*c)^(5/2) - 198*C*a^(11/2)*b^8*c^5*e^7*f^9*(a*c)^(3/2) + 144*C*a^(13/2)*b^6*c^4*e^5*f^11*(a*c)^(5/2) + 138*C*a^(15/2)*b^6*c^5*e^5*f^11*(a*c)^(3/2) - 96*C*a^(17/2)*b^4*c^4*e^3*f^13*(a*c)^(5/2) - 36*C*a^(19/2)*b^4*c^5*e^3*f^13*(a*c)^(3/2)))/(f^6*(a*f + b*e)^3*(a*f - b*e)^3*(b^2*c*e^2 - a^2*c*f^2)^(3/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C*e*(2*a^2*f^2 - b^2*e^2)*(64*C^3*a^(21/2)*c^3*e*f^11*(a*c)^(5/2) + 32*C^3*a^(5/2)*b^8*c^3*e^9*f^3*(a*c)^(5/2) - 160*C^3*a^(7/2)*b^8*c^4*e^9*f^3*(a*c)^(3/2) - 160*C^3*a^(9/2)*b^6*c^3*e^7*f^5*(a*c)^(5/2) + 384*C^3*a^(11/2)*b^6*c^4*e^7*f^5*(a*c)^(3/2) + 288*C^3*a^(13/2)*b^4*c^3*e^5*f^7*(a*c)^(5/2) - 392*C^3*a^(15/2)*b^4*c^4*e^5*f^7*(a*c)^(3/2) - 224*C^3*a^(17/2)*b^2*c^3*e^3*f^9*(a*c)^(5/2) + 144*C^3*a^(19/2)*b^2*c^4*e^3*f^9*(a*c)^(3/2) + 24*C^3*a^(3/2)*b^10*c^4*e^11*f*(a*c)^(3/2)))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4*(b^16*e^12*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^2*b^14*e^10*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 + 6*a^4*b^12*e^8*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^6*b^10*e^6*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + a^8*b^8*e^4*f^14*(a^2*c*f^2 - b^2*c*e^2)^2))/((16384*C^4*a^6*c^3*f^4 + 4096*C^4*a^2*b^4*c^3*e^4 - 16384*C^4*a^4*b^2*c^3*e^2*f^2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)) - (4*a^(3/2)*b^6*c^2*e^6*f^3*(a*c)^(3/2)*(2*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*((4096*(16*C^4*a^4*b^8*c^5*e^10 + 64*C^4*a^12*c^5*e^2*f^8 - 92*C^4*a^6*b^6*c^5*e^8*f^2 + 192*C^4*a^8*b^4*c^5*e^6*f^4 - 176*C^4*a^10*b^2*c^5*e^4*f^6))/(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12) + (4096*C^4*e^4*(2*a^2*f^2 - b^2*e^2)^4*(9*a^2*b^14*c^7*e^12*f^6 - 43*a^4*b^12*c^7*e^10*f^8 + 82*a^6*b^10*c^7*e^8*f^10 - 78*a^8*b^8*c^7*e^6*f^12 + 37*a^10*b^6*c^7*e^4*f^14 - 7*a^12*b^4*c^7*e^2*f^16))/(f^8*(a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)^2*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)) + (4096*C^2*e^2*(2*a^2*f^2 - b^2*e^2)^2*(16*C^2*a^14*c^6*f^14 + 9*C^2*a^2*b^12*c^6*e^12*f^2 - 54*C^2*a^4*b^10*c^6*e^10*f^4 + 121*C^2*a^6*b^8*c^6*e^8*f^6 - 128*C^2*a^8*b^6*c^6*e^6*f^8 + 80*C^2*a^10*b^4*c^6*e^4*f^10 - 44*C^2*a^12*b^2*c^6*e^2*f^12))/(f^4*(a*f + b*e)^2*(a*f - b*e)^2*(a^2*c*f^2 - b^2*c*e^2)*(b^16*e^14*f^4 - 4*a^2*b^14*e^12*f^6 + 6*a^4*b^12*e^10*f^8 - 4*a^6*b^10*e^8*f^10 + a^8*b^8*e^6*f^12)))*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4*(b^16*e^12*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^2*b^14*e^10*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 + 6*a^4*b^12*e^8*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 4*a^6*b^10*e^6*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + a^8*b^8*e^4*f^14*(a^2*c*f^2 - b^2*c*e^2)^2))/((b^2*c*e^2 - a^2*c*f^2)^(1/2)*(16384*C^4*a^6*c^3*f^4 + 4096*C^4*a^2*b^4*c^3*e^4 - 16384*C^4*a^4*b^2*c^3*e^2*f^2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 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885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - 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5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 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b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 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31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (4*a^4*b*c*e*f^4*(4*a^2*c*f^2 - b^2*c*e^2)*(4*a^2*c*f^2 - 3*b^2*c*e^2)*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 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276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 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3*b^2*c*e^2)^2*(4*a^6*c*f^6 - 3*b^6*c*e^6 + 8*a^2*b^4*c*e^4*f^2 - 8*a^4*b^2*c*e^2*f^4)^4)/((a^2*c*f^2 - b^2*c*e^2)*(164025*b^46*c^13*e^46 + 885735*b^44*c^12*e^44*(a^2*c*f^2 - b^2*c*e^2) + 117440512*a^30*c^5*f^30*(a^2*c*f^2 - b^2*c*e^2)^8 - 385875968*a^32*c^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^7 + 419430400*a^34*c^7*f^34*(a^2*c*f^2 - b^2*c*e^2)^6 - 150994944*a^36*c^8*f^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 236196*b^36*c^8*e^36*(a^2*c*f^2 - b^2*c*e^2)^5 + 1102248*b^38*c^9*e^38*(a^2*c*f^2 - b^2*c*e^2)^4 + 2053593*b^40*c^10*e^40*(a^2*c*f^2 - b^2*c*e^2)^3 + 1909251*b^42*c^11*e^42*(a^2*c*f^2 - b^2*c*e^2)^2 - 3937329*a^2*b^44*c^13*e^44*f^2 + 43893819*a^4*b^42*c^13*e^42*f^4 - 301507155*a^6*b^40*c^13*e^40*f^6 + 1427514656*a^8*b^38*c^13*e^38*f^8 - 4936911112*a^10*b^36*c^13*e^36*f^10 + 12893273616*a^12*b^34*c^13*e^34*f^12 - 25921630432*a^14*b^32*c^13*e^32*f^14 + 40519286096*a^16*b^30*c^13*e^30*f^16 - 49376608256*a^18*b^28*c^13*e^28*f^18 + 46721401856*a^20*b^26*c^13*e^26*f^20 - 33946324736*a^22*b^24*c^13*e^24*f^22 + 18556579328*a^24*b^22*c^13*e^22*f^24 - 7375276032*a^26*b^20*c^13*e^20*f^26 + 2009817088*a^28*b^18*c^13*e^18*f^28 - 335642624*a^30*b^16*c^13*e^16*f^30 + 25907200*a^32*b^14*c^13*e^14*f^32 - 21130794*a^2*b^42*c^12*e^42*f^2*(a^2*c*f^2 - b^2*c*e^2) + 234399015*a^4*b^40*c^12*e^40*f^4*(a^2*c*f^2 - b^2*c*e^2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(a^2*c*f^2 - b^2*c*e^2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(a^2*c*f^2 - b^2*c*e^2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(a^2*c*f^2 - b^2*c*e^2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(a^2*c*f^2 - b^2*c*e^2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(a^2*c*f^2 - b^2*c*e^2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(a^2*c*f^2 - b^2*c*e^2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(a^2*c*f^2 - b^2*c*e^2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(a^2*c*f^2 - b^2*c*e^2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(a^2*c*f^2 - b^2*c*e^2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(a^2*c*f^2 - b^2*c*e^2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(a^2*c*f^2 - b^2*c*e^2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(a^2*c*f^2 - b^2*c*e^2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(a^2*c*f^2 - b^2*c*e^2) + 819441664*a^32*b^12*c^12*e^12*f^32*(a^2*c*f^2 - b^2*c*e^2) - 59392000*a^34*b^10*c^12*e^10*f^34*(a^2*c*f^2 - b^2*c*e^2) + 9289728*a^6*b^24*c^5*e^24*f^6*(a^2*c*f^2 - b^2*c*e^2)^8 - 36884480*a^8*b^22*c^5*e^22*f^8*(a^2*c*f^2 - b^2*c*e^2)^8 - 278604800*a^10*b^20*c^5*e^20*f^10*(a^2*c*f^2 - b^2*c*e^2)^8 + 2774483200*a^12*b^18*c^5*e^18*f^12*(a^2*c*f^2 - b^2*c*e^2)^8 - 10869657600*a^14*b^16*c^5*e^16*f^14*(a^2*c*f^2 - b^2*c*e^2)^8 + 25237416960*a^16*b^14*c^5*e^14*f^16*(a^2*c*f^2 - b^2*c*e^2)^8 - 38348909568*a^18*b^12*c^5*e^12*f^18*(a^2*c*f^2 - b^2*c*e^2)^8 + 39084659712*a^20*b^10*c^5*e^10*f^20*(a^2*c*f^2 - b^2*c*e^2)^8 - 26118635520*a^22*b^8*c^5*e^8*f^22*(a^2*c*f^2 - b^2*c*e^2)^8 + 10414620672*a^24*b^6*c^5*e^6*f^24*(a^2*c*f^2 - b^2*c*e^2)^8 - 1708654592*a^26*b^4*c^5*e^4*f^26*(a^2*c*f^2 - b^2*c*e^2)^8 - 276561920*a^28*b^2*c^5*e^2*f^28*(a^2*c*f^2 - b^2*c*e^2)^8 - 9704448*a^4*b^28*c^6*e^28*f^4*(a^2*c*f^2 - b^2*c*e^2)^7 + 260614656*a^6*b^26*c^6*e^26*f^6*(a^2*c*f^2 - b^2*c*e^2)^7 - 2166022464*a^8*b^24*c^6*e^24*f^8*(a^2*c*f^2 - b^2*c*e^2)^7 + 8626147840*a^10*b^22*c^6*e^22*f^10*(a^2*c*f^2 - b^2*c*e^2)^7 - 16771503616*a^12*b^20*c^6*e^20*f^12*(a^2*c*f^2 - b^2*c*e^2)^7 + 3301800960*a^14*b^18*c^6*e^18*f^14*(a^2*c*f^2 - b^2*c*e^2)^7 + 67337715968*a^16*b^16*c^6*e^16*f^16*(a^2*c*f^2 - b^2*c*e^2)^7 - 189857873920*a^18*b^14*c^6*e^14*f^18*(a^2*c*f^2 - b^2*c*e^2)^7 + 286100259840*a^20*b^12*c^6*e^12*f^20*(a^2*c*f^2 - b^2*c*e^2)^7 - 275789894656*a^22*b^10*c^6*e^10*f^22*(a^2*c*f^2 - b^2*c*e^2)^7 + 173716537344*a^24*b^8*c^6*e^8*f^24*(a^2*c*f^2 - b^2*c*e^2)^7 - 67416424448*a^26*b^6*c^6*e^6*f^26*(a^2*c*f^2 - b^2*c*e^2)^7 + 12831686656*a^28*b^4*c^6*e^4*f^28*(a^2*c*f^2 - b^2*c*e^2)^7 + 222560256*a^30*b^2*c^6*e^2*f^30*(a^2*c*f^2 - b^2*c*e^2)^7 + 2099520*a^2*b^32*c^7*e^32*f^2*(a^2*c*f^2 - b^2*c*e^2)^6 - 107014608*a^4*b^30*c^7*e^30*f^4*(a^2*c*f^2 - b^2*c*e^2)^6 + 1848335616*a^6*b^28*c^7*e^28*f^6*(a^2*c*f^2 - b^2*c*e^2)^6 - 15200005312*a^8*b^26*c^7*e^26*f^8*(a^2*c*f^2 - b^2*c*e^2)^6 + 72612273792*a^10*b^24*c^7*e^24*f^10*(a^2*c*f^2 - b^2*c*e^2)^6 - 221855779968*a^12*b^22*c^7*e^22*f^12*(a^2*c*f^2 - b^2*c*e^2)^6 + 450717857536*a^14*b^20*c^7*e^20*f^14*(a^2*c*f^2 - b^2*c*e^2)^6 - 600578910208*a^16*b^18*c^7*e^18*f^16*(a^2*c*f^2 - b^2*c*e^2)^6 + 459464530688*a^18*b^16*c^7*e^16*f^18*(a^2*c*f^2 - b^2*c*e^2)^6 - 33638947840*a^20*b^14*c^7*e^14*f^20*(a^2*c*f^2 - b^2*c*e^2)^6 - 376299926528*a^22*b^12*c^7*e^12*f^22*(a^2*c*f^2 - b^2*c*e^2)^6 + 488874068992*a^24*b^10*c^7*e^10*f^24*(a^2*c*f^2 - b^2*c*e^2)^6 - 333407809536*a^26*b^8*c^7*e^8*f^26*(a^2*c*f^2 - b^2*c*e^2)^6 + 134140313600*a^28*b^6*c^7*e^6*f^28*(a^2*c*f^2 - b^2*c*e^2)^6 - 28220915712*a^30*b^4*c^7*e^4*f^30*(a^2*c*f^2 - b^2*c*e^2)^6 + 1230503936*a^32*b^2*c^7*e^2*f^32*(a^2*c*f^2 - b^2*c*e^2)^6 + 3335904*a^2*b^34*c^8*e^34*f^2*(a^2*c*f^2 - b^2*c*e^2)^5 - 290521728*a^4*b^32*c^8*e^32*f^4*(a^2*c*f^2 - b^2*c*e^2)^5 + 4865684544*a^6*b^30*c^8*e^30*f^6*(a^2*c*f^2 - b^2*c*e^2)^5 - 40437394528*a^8*b^28*c^8*e^28*f^8*(a^2*c*f^2 - b^2*c*e^2)^5 + 205602254656*a^10*b^26*c^8*e^26*f^10*(a^2*c*f^2 - b^2*c*e^2)^5 - 703885344192*a^12*b^24*c^8*e^24*f^12*(a^2*c*f^2 - b^2*c*e^2)^5 + 1709253482624*a^14*b^22*c^8*e^22*f^14*(a^2*c*f^2 - b^2*c*e^2)^5 - 3029282695168*a^16*b^20*c^8*e^20*f^16*(a^2*c*f^2 - b^2*c*e^2)^5 + 3966230827520*a^18*b^18*c^8*e^18*f^18*(a^2*c*f^2 - b^2*c*e^2)^5 - 3822339813632*a^20*b^16*c^8*e^16*f^20*(a^2*c*f^2 - b^2*c*e^2)^5 + 2640438056960*a^22*b^14*c^8*e^14*f^22*(a^2*c*f^2 - b^2*c*e^2)^5 - 1208501415936*a^24*b^12*c^8*e^12*f^24*(a^2*c*f^2 - b^2*c*e^2)^5 + 269338092544*a^26*b^10*c^8*e^10*f^26*(a^2*c*f^2 - b^2*c*e^2)^5 + 53783212032*a^28*b^8*c^8*e^8*f^28*(a^2*c*f^2 - b^2*c*e^2)^5 - 60985360384*a^30*b^6*c^8*e^6*f^30*(a^2*c*f^2 - b^2*c*e^2)^5 + 17917083648*a^32*b^4*c^8*e^4*f^32*(a^2*c*f^2 - b^2*c*e^2)^5 - 1558708224*a^34*b^2*c^8*e^2*f^34*(a^2*c*f^2 - b^2*c*e^2)^5 - 11917692*a^2*b^36*c^9*e^36*f^2*(a^2*c*f^2 - b^2*c*e^2)^4 - 224907516*a^4*b^34*c^9*e^34*f^4*(a^2*c*f^2 - b^2*c*e^2)^4 + 5303932560*a^6*b^32*c^9*e^32*f^6*(a^2*c*f^2 - b^2*c*e^2)^4 - 48206418480*a^8*b^30*c^9*e^30*f^8*(a^2*c*f^2 - b^2*c*e^2)^4 + 261450609120*a^10*b^28*c^9*e^28*f^10*(a^2*c*f^2 - b^2*c*e^2)^4 - 962361040256*a^12*b^26*c^9*e^26*f^12*(a^2*c*f^2 - b^2*c*e^2)^4 + 2558559358080*a^14*b^24*c^9*e^24*f^14*(a^2*c*f^2 - b^2*c*e^2)^4 - 5091804150656*a^16*b^22*c^9*e^22*f^16*(a^2*c*f^2 - b^2*c*e^2)^4 + 7750806514944*a^18*b^20*c^9*e^20*f^18*(a^2*c*f^2 - b^2*c*e^2)^4 - 9137207485952*a^20*b^18*c^9*e^18*f^20*(a^2*c*f^2 - b^2*c*e^2)^4 + 8384563280128*a^22*b^16*c^9*e^16*f^22*(a^2*c*f^2 - b^2*c*e^2)^4 - 5975281259520*a^24*b^14*c^9*e^14*f^24*(a^2*c*f^2 - b^2*c*e^2)^4 + 3269297268736*a^26*b^12*c^9*e^12*f^26*(a^2*c*f^2 - b^2*c*e^2)^4 - 1339171540992*a^28*b^10*c^9*e^10*f^28*(a^2*c*f^2 - b^2*c*e^2)^4 + 391250194432*a^30*b^8*c^9*e^8*f^30*(a^2*c*f^2 - b^2*c*e^2)^4 - 74114154496*a^32*b^6*c^9*e^6*f^32*(a^2*c*f^2 - b^2*c*e^2)^4 + 7299203072*a^34*b^4*c^9*e^4*f^34*(a^2*c*f^2 - b^2*c*e^2)^4 - 148635648*a^36*b^2*c^9*e^2*f^36*(a^2*c*f^2 - b^2*c*e^2)^4 - 38704068*a^2*b^38*c^10*e^38*f^2*(a^2*c*f^2 - b^2*c*e^2)^3 + 188845992*a^4*b^36*c^10*e^36*f^4*(a^2*c*f^2 - b^2*c*e^2)^3 + 1157124204*a^6*b^34*c^10*e^34*f^6*(a^2*c*f^2 - b^2*c*e^2)^3 - 20586361424*a^8*b^32*c^10*e^32*f^8*(a^2*c*f^2 - b^2*c*e^2)^3 + 135395499200*a^10*b^30*c^10*e^30*f^10*(a^2*c*f^2 - b^2*c*e^2)^3 - 555513858464*a^12*b^28*c^10*e^28*f^12*(a^2*c*f^2 - b^2*c*e^2)^3 + 1608776388864*a^14*b^26*c^10*e^26*f^14*(a^2*c*f^2 - b^2*c*e^2)^3 - 3473989271488*a^16*b^24*c^10*e^24*f^16*(a^2*c*f^2 - b^2*c*e^2)^3 + 5766181411456*a^18*b^22*c^10*e^22*f^18*(a^2*c*f^2 - b^2*c*e^2)^3 - 7493983209472*a^20*b^20*c^10*e^20*f^20*(a^2*c*f^2 - b^2*c*e^2)^3 + 7713917084672*a^22*b^18*c^10*e^18*f^22*(a^2*c*f^2 - b^2*c*e^2)^3 - 6328467293184*a^24*b^16*c^10*e^16*f^24*(a^2*c*f^2 - b^2*c*e^2)^3 + 4142950034432*a^26*b^14*c^10*e^14*f^26*(a^2*c*f^2 - b^2*c*e^2)^3 - 2152681536512*a^28*b^12*c^10*e^12*f^28*(a^2*c*f^2 - b^2*c*e^2)^3 + 874199511040*a^30*b^10*c^10*e^10*f^30*(a^2*c*f^2 - b^2*c*e^2)^3 - 268759150592*a^32*b^8*c^10*e^8*f^32*(a^2*c*f^2 - b^2*c*e^2)^3 + 58872545280*a^34*b^6*c^10*e^6*f^34*(a^2*c*f^2 - b^2*c*e^2)^3 - 8151957504*a^36*b^4*c^10*e^4*f^36*(a^2*c*f^2 - b^2*c*e^2)^3 + 530841600*a^38*b^2*c^10*e^2*f^38*(a^2*c*f^2 - b^2*c*e^2)^3 - 42743457*a^2*b^40*c^11*e^40*f^2*(a^2*c*f^2 - b^2*c*e^2)^2 + 411055884*a^4*b^38*c^11*e^38*f^4*(a^2*c*f^2 - b^2*c*e^2)^2 - 2180887236*a^6*b^36*c^11*e^36*f^6*(a^2*c*f^2 - b^2*c*e^2)^2 + 6404946508*a^8*b^34*c^11*e^34*f^8*(a^2*c*f^2 - b^2*c*e^2)^2 - 5434005264*a^10*b^32*c^11*e^32*f^10*(a^2*c*f^2 - b^2*c*e^2)^2 - 38868373520*a^12*b^30*c^11*e^30*f^12*(a^2*c*f^2 - b^2*c*e^2)^2 + 208447613600*a^14*b^28*c^11*e^28*f^14*(a^2*c*f^2 - b^2*c*e^2)^2 - 579674999104*a^16*b^26*c^11*e^26*f^16*(a^2*c*f^2 - b^2*c*e^2)^2 + 1104967566592*a^18*b^24*c^11*e^24*f^18*(a^2*c*f^2 - b^2*c*e^2)^2 - 1554566531328*a^20*b^22*c^11*e^22*f^20*(a^2*c*f^2 - b^2*c*e^2)^2 + 1659734381312*a^22*b^20*c^11*e^20*f^22*(a^2*c*f^2 - b^2*c*e^2)^2 - 1356361512192*a^24*b^18*c^11*e^18*f^24*(a^2*c*f^2 - b^2*c*e^2)^2 + 845331359744*a^26*b^16*c^11*e^16*f^26*(a^2*c*f^2 - b^2*c*e^2)^2 - 395676895232*a^28*b^14*c^11*e^14*f^28*(a^2*c*f^2 - b^2*c*e^2)^2 + 134902689792*a^30*b^12*c^11*e^12*f^30*(a^2*c*f^2 - b^2*c*e^2)^2 - 31670587392*a^32*b^10*c^11*e^10*f^32*(a^2*c*f^2 - b^2*c*e^2)^2 + 4584669184*a^34*b^8*c^11*e^8*f^34*(a^2*c*f^2 - b^2*c*e^2)^2 - 309657600*a^36*b^6*c^11*e^6*f^36*(a^2*c*f^2 - b^2*c*e^2)^2)))*(236196*b^36*c^8*e^36*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 385875968*a^32*c^6*f^32*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 419430400*a^34*c^7*f^34*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 150994944*a^36*c^8*f^36*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 117440512*a^30*c^5*f^30*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 1102248*b^38*c^9*e^38*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 2053593*b^40*c^10*e^40*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 1909251*b^42*c^11*e^42*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 885735*b^44*c^12*e^44*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 164025*b^46*c^13*e^46*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 9289728*a^6*b^24*c^5*e^24*f^6*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 36884480*a^8*b^22*c^5*e^22*f^8*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 278604800*a^10*b^20*c^5*e^20*f^10*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 2774483200*a^12*b^18*c^5*e^18*f^12*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 10869657600*a^14*b^16*c^5*e^16*f^14*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 25237416960*a^16*b^14*c^5*e^14*f^16*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 38348909568*a^18*b^12*c^5*e^12*f^18*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 39084659712*a^20*b^10*c^5*e^10*f^20*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 26118635520*a^22*b^8*c^5*e^8*f^22*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 10414620672*a^24*b^6*c^5*e^6*f^24*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 1708654592*a^26*b^4*c^5*e^4*f^26*(b^2*c*e^2 - a^2*c*f^2)^(17/2) + 276561920*a^28*b^2*c^5*e^2*f^28*(b^2*c*e^2 - a^2*c*f^2)^(17/2) - 9704448*a^4*b^28*c^6*e^28*f^4*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 260614656*a^6*b^26*c^6*e^26*f^6*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 2166022464*a^8*b^24*c^6*e^24*f^8*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 8626147840*a^10*b^22*c^6*e^22*f^10*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 16771503616*a^12*b^20*c^6*e^20*f^12*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 3301800960*a^14*b^18*c^6*e^18*f^14*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 67337715968*a^16*b^16*c^6*e^16*f^16*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 189857873920*a^18*b^14*c^6*e^14*f^18*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 286100259840*a^20*b^12*c^6*e^12*f^20*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 275789894656*a^22*b^10*c^6*e^10*f^22*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 173716537344*a^24*b^8*c^6*e^8*f^24*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 67416424448*a^26*b^6*c^6*e^6*f^26*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 12831686656*a^28*b^4*c^6*e^4*f^28*(b^2*c*e^2 - a^2*c*f^2)^(15/2) + 222560256*a^30*b^2*c^6*e^2*f^30*(b^2*c*e^2 - a^2*c*f^2)^(15/2) - 2099520*a^2*b^32*c^7*e^32*f^2*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 107014608*a^4*b^30*c^7*e^30*f^4*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 1848335616*a^6*b^28*c^7*e^28*f^6*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 15200005312*a^8*b^26*c^7*e^26*f^8*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 72612273792*a^10*b^24*c^7*e^24*f^10*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 221855779968*a^12*b^22*c^7*e^22*f^12*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 450717857536*a^14*b^20*c^7*e^20*f^14*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 600578910208*a^16*b^18*c^7*e^18*f^16*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 459464530688*a^18*b^16*c^7*e^16*f^18*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 33638947840*a^20*b^14*c^7*e^14*f^20*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 376299926528*a^22*b^12*c^7*e^12*f^22*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 488874068992*a^24*b^10*c^7*e^10*f^24*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 333407809536*a^26*b^8*c^7*e^8*f^26*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 134140313600*a^28*b^6*c^7*e^6*f^28*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 28220915712*a^30*b^4*c^7*e^4*f^30*(b^2*c*e^2 - a^2*c*f^2)^(13/2) - 1230503936*a^32*b^2*c^7*e^2*f^32*(b^2*c*e^2 - a^2*c*f^2)^(13/2) + 3335904*a^2*b^34*c^8*e^34*f^2*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 290521728*a^4*b^32*c^8*e^32*f^4*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 4865684544*a^6*b^30*c^8*e^30*f^6*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 40437394528*a^8*b^28*c^8*e^28*f^8*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 205602254656*a^10*b^26*c^8*e^26*f^10*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 703885344192*a^12*b^24*c^8*e^24*f^12*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 1709253482624*a^14*b^22*c^8*e^22*f^14*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 3029282695168*a^16*b^20*c^8*e^20*f^16*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 3966230827520*a^18*b^18*c^8*e^18*f^18*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 3822339813632*a^20*b^16*c^8*e^16*f^20*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 2640438056960*a^22*b^14*c^8*e^14*f^22*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 1208501415936*a^24*b^12*c^8*e^12*f^24*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 269338092544*a^26*b^10*c^8*e^10*f^26*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 53783212032*a^28*b^8*c^8*e^8*f^28*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 60985360384*a^30*b^6*c^8*e^6*f^30*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 17917083648*a^32*b^4*c^8*e^4*f^32*(b^2*c*e^2 - a^2*c*f^2)^(11/2) - 1558708224*a^34*b^2*c^8*e^2*f^34*(b^2*c*e^2 - a^2*c*f^2)^(11/2) + 11917692*a^2*b^36*c^9*e^36*f^2*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 224907516*a^4*b^34*c^9*e^34*f^4*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 5303932560*a^6*b^32*c^9*e^32*f^6*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 48206418480*a^8*b^30*c^9*e^30*f^8*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 261450609120*a^10*b^28*c^9*e^28*f^10*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 962361040256*a^12*b^26*c^9*e^26*f^12*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 2558559358080*a^14*b^24*c^9*e^24*f^14*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 5091804150656*a^16*b^22*c^9*e^22*f^16*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 7750806514944*a^18*b^20*c^9*e^20*f^18*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 9137207485952*a^20*b^18*c^9*e^18*f^20*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 8384563280128*a^22*b^16*c^9*e^16*f^22*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 5975281259520*a^24*b^14*c^9*e^14*f^24*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 3269297268736*a^26*b^12*c^9*e^12*f^26*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 1339171540992*a^28*b^10*c^9*e^10*f^28*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 391250194432*a^30*b^8*c^9*e^8*f^30*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 74114154496*a^32*b^6*c^9*e^6*f^32*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 7299203072*a^34*b^4*c^9*e^4*f^34*(b^2*c*e^2 - a^2*c*f^2)^(9/2) + 148635648*a^36*b^2*c^9*e^2*f^36*(b^2*c*e^2 - a^2*c*f^2)^(9/2) - 38704068*a^2*b^38*c^10*e^38*f^2*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 188845992*a^4*b^36*c^10*e^36*f^4*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 1157124204*a^6*b^34*c^10*e^34*f^6*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 20586361424*a^8*b^32*c^10*e^32*f^8*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 135395499200*a^10*b^30*c^10*e^30*f^10*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 555513858464*a^12*b^28*c^10*e^28*f^12*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 1608776388864*a^14*b^26*c^10*e^26*f^14*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 3473989271488*a^16*b^24*c^10*e^24*f^16*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 5766181411456*a^18*b^22*c^10*e^22*f^18*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 7493983209472*a^20*b^20*c^10*e^20*f^20*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 7713917084672*a^22*b^18*c^10*e^18*f^22*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 6328467293184*a^24*b^16*c^10*e^16*f^24*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 4142950034432*a^26*b^14*c^10*e^14*f^26*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 2152681536512*a^28*b^12*c^10*e^12*f^28*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 874199511040*a^30*b^10*c^10*e^10*f^30*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 268759150592*a^32*b^8*c^10*e^8*f^32*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 58872545280*a^34*b^6*c^10*e^6*f^34*(b^2*c*e^2 - a^2*c*f^2)^(7/2) - 8151957504*a^36*b^4*c^10*e^4*f^36*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 530841600*a^38*b^2*c^10*e^2*f^38*(b^2*c*e^2 - a^2*c*f^2)^(7/2) + 42743457*a^2*b^40*c^11*e^40*f^2*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 411055884*a^4*b^38*c^11*e^38*f^4*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 2180887236*a^6*b^36*c^11*e^36*f^6*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 6404946508*a^8*b^34*c^11*e^34*f^8*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 5434005264*a^10*b^32*c^11*e^32*f^10*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 38868373520*a^12*b^30*c^11*e^30*f^12*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 208447613600*a^14*b^28*c^11*e^28*f^14*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 579674999104*a^16*b^26*c^11*e^26*f^16*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 1104967566592*a^18*b^24*c^11*e^24*f^18*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 1554566531328*a^20*b^22*c^11*e^22*f^20*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 1659734381312*a^22*b^20*c^11*e^20*f^22*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 1356361512192*a^24*b^18*c^11*e^18*f^24*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 845331359744*a^26*b^16*c^11*e^16*f^26*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 395676895232*a^28*b^14*c^11*e^14*f^28*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 134902689792*a^30*b^12*c^11*e^12*f^30*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 31670587392*a^32*b^10*c^11*e^10*f^32*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 4584669184*a^34*b^8*c^11*e^8*f^34*(b^2*c*e^2 - a^2*c*f^2)^(5/2) + 309657600*a^36*b^6*c^11*e^6*f^36*(b^2*c*e^2 - a^2*c*f^2)^(5/2) - 21130794*a^2*b^42*c^12*e^42*f^2*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 234399015*a^4*b^40*c^12*e^40*f^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 1604168280*a^6*b^38*c^12*e^38*f^6*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 7579098492*a^8*b^36*c^12*e^36*f^8*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 26212380172*a^10*b^34*c^12*e^34*f^10*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 68672994096*a^12*b^32*c^12*e^32*f^12*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 139160589504*a^14*b^30*c^12*e^30*f^14*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 220859191808*a^16*b^28*c^12*e^28*f^16*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 276344315328*a^18*b^26*c^12*e^26*f^18*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 273130561984*a^20*b^24*c^12*e^24*f^20*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 212730002688*a^22*b^22*c^12*e^22*f^22*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 129574234368*a^24*b^20*c^12*e^20*f^24*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 60770569216*a^26*b^18*c^12*e^18*f^26*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 21304706048*a^28*b^16*c^12*e^16*f^28*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 5272965120*a^30*b^14*c^12*e^14*f^30*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 819441664*a^32*b^12*c^12*e^12*f^32*(b^2*c*e^2 - a^2*c*f^2)^(3/2) - 59392000*a^34*b^10*c^12*e^10*f^34*(b^2*c*e^2 - a^2*c*f^2)^(3/2) + 3937329*a^2*b^44*c^13*e^44*f^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 43893819*a^4*b^42*c^13*e^42*f^4*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 301507155*a^6*b^40*c^13*e^40*f^6*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 1427514656*a^8*b^38*c^13*e^38*f^8*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 4936911112*a^10*b^36*c^13*e^36*f^10*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 12893273616*a^12*b^34*c^13*e^34*f^12*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 25921630432*a^14*b^32*c^13*e^32*f^14*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 40519286096*a^16*b^30*c^13*e^30*f^16*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 49376608256*a^18*b^28*c^13*e^28*f^18*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 46721401856*a^20*b^26*c^13*e^26*f^20*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 33946324736*a^22*b^24*c^13*e^24*f^22*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 18556579328*a^24*b^22*c^13*e^22*f^24*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 7375276032*a^26*b^20*c^13*e^20*f^26*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 2009817088*a^28*b^18*c^13*e^18*f^28*(b^2*c*e^2 - a^2*c*f^2)^(1/2) + 335642624*a^30*b^16*c^13*e^16*f^30*(b^2*c*e^2 - a^2*c*f^2)^(1/2) - 25907200*a^32*b^14*c^13*e^14*f^32*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))/(16384*a^(17/2)*b^19*c*e^19*f^15*(a*c)^(13/2) - 2048*a^(13/2)*b^21*c*e^21*f^13*(a*c)^(13/2) - 57344*a^(21/2)*b^17*c*e^17*f^17*(a*c)^(13/2) + 114688*a^(25/2)*b^15*c*e^15*f^19*(a*c)^(13/2) - 143360*a^(29/2)*b^13*c*e^13*f^21*(a*c)^(13/2) + 114688*a^(33/2)*b^11*c*e^11*f^23*(a*c)^(13/2) - 57344*a^(37/2)*b^9*c*e^9*f^25*(a*c)^(13/2) + 16384*a^(41/2)*b^7*c*e^7*f^27*(a*c)^(13/2) - 2048*a^(45/2)*b^5*c*e^5*f^29*(a*c)^(13/2) + 486*a^(3/2)*b^31*c^6*e^31*f^3*(a*c)^(3/2) - 3240*a^(5/2)*b^29*c^5*e^29*f^5*(a*c)^(5/2) + 8640*a^(7/2)*b^27*c^4*e^27*f^7*(a*c)^(7/2) - 2592*a^(7/2)*b^29*c^6*e^29*f^5*(a*c)^(3/2) - 11520*a^(9/2)*b^25*c^3*e^25*f^9*(a*c)^(9/2) + 19008*a^(9/2)*b^27*c^5*e^27*f^7*(a*c)^(5/2) + 7680*a^(11/2)*b^23*c^2*e^23*f^11*(a*c)^(11/2) - 55296*a^(11/2)*b^25*c^4*e^25*f^9*(a*c)^(7/2) + 5184*a^(11/2)*b^27*c^6*e^27*f^7*(a*c)^(3/2) + 79872*a^(13/2)*b^23*c^3*e^23*f^11*(a*c)^(9/2) - 44064*a^(13/2)*b^25*c^5*e^25*f^9*(a*c)^(5/2) - 57344*a^(15/2)*b^21*c^2*e^21*f^13*(a*c)^(11/2) + 145152*a^(15/2)*b^23*c^4*e^23*f^11*(a*c)^(7/2) - 4608*a^(15/2)*b^25*c^6*e^25*f^9*(a*c)^(3/2) - 233472*a^(17/2)*b^21*c^3*e^21*f^13*(a*c)^(9/2) + 50304*a^(17/2)*b^23*c^5*e^23*f^11*(a*c)^(5/2) + 184320*a^(19/2)*b^19*c^2*e^19*f^15*(a*c)^(11/2) - 199424*a^(19/2)*b^21*c^4*e^21*f^13*(a*c)^(7/2) + 1536*a^(19/2)*b^23*c^6*e^23*f^11*(a*c)^(3/2) + 371712*a^(21/2)*b^19*c^3*e^19*f^15*(a*c)^(9/2) - 28160*a^(21/2)*b^21*c^5*e^21*f^13*(a*c)^(5/2) - 331776*a^(23/2)*b^17*c^2*e^17*f^17*(a*c)^(11/2) + 150592*a^(23/2)*b^19*c^4*e^19*f^15*(a*c)^(7/2) - 346368*a^(25/2)*b^17*c^3*e^17*f^17*(a*c)^(9/2) + 6144*a^(25/2)*b^19*c^5*e^19*f^15*(a*c)^(5/2) + 363520*a^(27/2)*b^15*c^2*e^15*f^19*(a*c)^(11/2) - 58880*a^(27/2)*b^17*c^4*e^17*f^17*(a*c)^(7/2) + 187392*a^(29/2)*b^15*c^3*e^15*f^19*(a*c)^(9/2) - 245760*a^(31/2)*b^13*c^2*e^13*f^21*(a*c)^(11/2) + 9216*a^(31/2)*b^15*c^4*e^15*f^19*(a*c)^(7/2) - 53760*a^(33/2)*b^13*c^3*e^13*f^21*(a*c)^(9/2) + 98304*a^(35/2)*b^11*c^2*e^11*f^23*(a*c)^(11/2) + 6144*a^(37/2)*b^11*c^3*e^11*f^23*(a*c)^(9/2) - 20480*a^(39/2)*b^9*c^2*e^9*f^25*(a*c)^(11/2) + 1536*a^(43/2)*b^7*c^2*e^7*f^27*(a*c)^(11/2)))))/(f^2*(a*f + b*e)*(a*f - b*e)*(b^2*c*e^2 - a^2*c*f^2)^(1/2))","B"
33,1,9344,363,0.007789,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^3*(a*c - b*c*x)^(1/2)*(a + b*x)^(1/2)),x)","\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(4\,C\,a^4\,c^3\,f^2+2\,C\,a^2\,b^2\,c^3\,e^2\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(68\,C\,a^4\,c^2\,f^2-14\,C\,a^2\,b^2\,c^2\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\left(68\,C\,a^4\,c\,f^2-14\,C\,a^2\,b^2\,c\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\left(4\,C\,a^4\,f^2+2\,C\,a^2\,b^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,b\,e\,f^4-2\,a^2\,b^3\,e^3\,f^2+b^5\,e^5\right)}-\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(48\,C\,a^4\,c\,f^3-24\,C\,a^2\,b^2\,c\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(24\,C\,a^4\,f^3+12\,C\,a^2\,b^2\,e^2\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,\left(24\,C\,a^4\,c^2\,f^3+12\,C\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^2\,f^4-2\,a^2\,b^4\,e^4\,f^2+b^6\,e^6\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}+\frac{\frac{\left(4\,A\,a^4\,f^4-10\,A\,a^2\,b^2\,e^2\,f^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}-\frac{\left(4\,A\,a^4\,c^3\,f^4-10\,A\,a^2\,b^2\,c^3\,e^2\,f^2\right)\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}-\frac{\left(4\,A\,a^4\,c^2\,f^4-58\,A\,a^2\,b^2\,c^2\,e^2\,f^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5\,\left(4\,A\,a^4\,c\,f^4-58\,A\,a^2\,b^2\,c\,e^2\,f^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e^3\,f^4-2\,a^2\,b^3\,e^5\,f^2+b^5\,e^7\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(-8\,A\,a^4\,f^5+28\,A\,a^2\,b^2\,e^2\,f^3+16\,A\,b^4\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4\,\left(16\,A\,c\,a^4\,f^5-72\,A\,c\,a^2\,b^2\,e^2\,f^3+32\,A\,c\,b^4\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(-8\,A\,a^4\,c^2\,f^5+28\,A\,a^2\,b^2\,c^2\,e^2\,f^3+16\,A\,b^4\,c^2\,e^4\,f\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^4\,f^4-2\,a^2\,b^4\,e^6\,f^2+b^6\,e^8\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}-\frac{\frac{\left(32\,B\,a^4\,c^2\,f^3+22\,B\,a^2\,b^2\,c^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3\,\left(a^4\,b\,e^2\,f^4-2\,a^2\,b^3\,e^4\,f^2+b^5\,e^6\right)}-\frac{\left(32\,B\,c\,a^4\,f^3+22\,B\,c\,a^2\,b^2\,e^2\,f\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5\,\left(a^4\,b\,e^2\,f^4-2\,a^2\,b^3\,e^4\,f^2+b^5\,e^6\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(8\,B\,a^4\,c^2\,f^4+20\,B\,a^2\,b^2\,c^2\,e^2\,f^2+8\,B\,b^4\,c^2\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}+\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(8\,B\,a^4\,f^4+20\,B\,a^2\,b^2\,e^2\,f^2+8\,B\,b^4\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}-\frac{\sqrt{a}\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4\,\left(16\,B\,c\,a^4\,f^4+24\,B\,c\,a^2\,b^2\,e^2\,f^2-16\,B\,c\,b^4\,e^4\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4\,\left(a^4\,b^2\,e^3\,f^4-2\,a^2\,b^4\,e^5\,f^2+b^6\,e^7\right)}-\frac{6\,B\,a^2\,b\,f\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7\,\left(a^4\,f^4-2\,a^2\,b^2\,e^2\,f^2+b^4\,e^4\right)}+\frac{6\,B\,a^2\,b\,c^3\,f\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\left(\sqrt{a+b\,x}-\sqrt{a}\right)\,\left(a^4\,f^4-2\,a^2\,b^2\,e^2\,f^2+b^4\,e^4\right)}}{\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^8}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^8}+c^4+\frac{{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^6\,\left(16\,c\,a^2\,f^2+4\,c\,b^2\,e^2\right)}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^6}+\frac{\left(16\,a^2\,c^3\,f^2+4\,b^2\,c^3\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\left(32\,a^2\,c^2\,f^2-6\,b^2\,c^2\,e^2\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^4}{b^2\,e^2\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^4}-\frac{8\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^7}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^7}+\frac{8\,\sqrt{a}\,c^3\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{b\,e\,\left(\sqrt{a+b\,x}-\sqrt{a}\right)}-\frac{8\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^5}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^5}+\frac{8\,\sqrt{a}\,c^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{b\,e\,{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}+\frac{C\,a^2\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)+2\,\mathrm{atan}\left(\frac{\left(\frac{\left(\frac{\frac{4\,\left(4\,C^2\,a^8\,f^4+4\,C^2\,a^6\,b^2\,e^2\,f^2+C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{C\,a^{3/2}\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(8\,C\,a^{17/2}\,f^7\,\sqrt{a\,c}-12\,C\,a^{13/2}\,b^2\,e^2\,f^5\,\sqrt{a\,c}+4\,C\,a^{5/2}\,b^6\,e^6\,f\,\sqrt{a\,c}\right)}{2\,b\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(\frac{\frac{4\,\left(4\,c\,C^2\,a^8\,f^4+4\,c\,C^2\,a^6\,b^2\,e^2\,f^2+c\,C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{8\,C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2}{b\,e\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}-\frac{C\,a^{3/2}\,\left(2\,a^2\,f^2+b^2\,e^2\right)\,\left(8\,C\,a^{17/2}\,c\,f^7\,\sqrt{a\,c}+4\,C\,a^{5/2}\,b^6\,c\,e^6\,f\,\sqrt{a\,c}-12\,C\,a^{13/2}\,b^2\,c\,e^2\,f^5\,\sqrt{a\,c}\right)}{2\,b\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\left(\frac{\frac{4\,\left(4\,C^2\,a^8\,f^4+4\,C^2\,a^6\,b^2\,e^2\,f^2+C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{4\,C^2\,a^{9/2}\,f\,\sqrt{a\,c}\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2}{b^2\,c\,e^2\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\frac{4\,\left(4\,c\,C^2\,a^8\,f^4+4\,c\,C^2\,a^6\,b^2\,e^2\,f^2+c\,C^2\,a^4\,b^4\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{C^2\,a^4\,{\left(2\,a^2\,f^2+b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\,\left(b^{10}\,e^{10}\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^2\,b^8\,e^8\,f^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+6\,a^4\,b^6\,e^6\,f^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^6\,b^4\,e^4\,f^6\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+a^8\,b^2\,e^2\,f^8\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\right)}{16\,C^2\,a^8\,f^4+16\,C^2\,a^6\,b^2\,e^2\,f^2+4\,C^2\,a^4\,b^4\,e^4}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{A\,b^2\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)+2\,\mathrm{atan}\left(\frac{\left(\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(\frac{\frac{4\,\left(c\,A^2\,a^4\,b^4\,f^4+4\,c\,A^2\,a^2\,b^6\,e^2\,f^2+4\,c\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{8\,A^2\,b^3\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2}{e\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}-\frac{A\,b\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(4\,A\,a^{13/2}\,b^2\,c\,f^7\,\sqrt{a\,c}+8\,A\,\sqrt{a}\,b^8\,c\,e^6\,f\,\sqrt{a\,c}-12\,A\,a^{5/2}\,b^6\,c\,e^4\,f^3\,\sqrt{a\,c}\right)}{2\,\sqrt{a}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{\left(\frac{\frac{4\,\left(A^2\,a^4\,b^4\,f^4+4\,A^2\,a^2\,b^6\,e^2\,f^2+4\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{4\,b\,c^2\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{A\,b\,\left(a^2\,f^2+2\,b^2\,e^2\right)\,\left(4\,A\,a^{13/2}\,b^2\,f^7\,\sqrt{a\,c}-12\,A\,a^{5/2}\,b^6\,e^4\,f^3\,\sqrt{a\,c}+8\,A\,\sqrt{a}\,b^8\,e^6\,f\,\sqrt{a\,c}\right)}{2\,\sqrt{a}\,c^2\,e\,f\,\sqrt{a\,c}\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{\left(\frac{\frac{4\,\left(A^2\,a^4\,b^4\,f^4+4\,A^2\,a^2\,b^6\,e^2\,f^2+4\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}-\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(12\,c\,a^{10}\,f^{10}-52\,c\,a^8\,b^2\,e^2\,f^8+88\,c\,a^6\,b^4\,e^4\,f^6-72\,c\,a^4\,b^6\,e^6\,f^4+28\,c\,a^2\,b^8\,e^8\,f^2-4\,c\,b^{10}\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{4\,A^2\,\sqrt{a}\,b^2\,f\,\sqrt{a\,c}\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2}{c\,e^2\,{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,{\left(b^2\,c\,e^2-a^2\,c\,f^2\right)}^{3/2}}\right)\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{\frac{4\,\left(c\,A^2\,a^4\,b^4\,f^4+4\,c\,A^2\,a^2\,b^6\,e^2\,f^2+4\,c\,A^2\,b^8\,e^4\right)}{a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}}+\frac{A^2\,b^4\,{\left(a^2\,f^2+2\,b^2\,e^2\right)}^2\,\left(4\,a^{10}\,c^2\,f^{10}-12\,a^8\,b^2\,c^2\,e^2\,f^8+8\,a^6\,b^4\,c^2\,e^4\,f^6+8\,a^4\,b^6\,c^2\,e^6\,f^4-12\,a^2\,b^8\,c^2\,e^8\,f^2+4\,b^{10}\,c^2\,e^{10}\right)}{{\left(a\,f+b\,e\right)}^4\,{\left(a\,f-b\,e\right)}^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\,\left(a^8\,b^2\,e^2\,f^8-4\,a^6\,b^4\,e^4\,f^6+6\,a^4\,b^6\,e^6\,f^4-4\,a^2\,b^8\,e^8\,f^2+b^{10}\,e^{10}\right)}}{2\,\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\,\left(b^8\,e^{10}\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+a^8\,e^2\,f^8\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^2\,b^6\,e^8\,f^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+6\,a^4\,b^4\,e^6\,f^4\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)-4\,a^6\,b^2\,e^4\,f^6\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)\right)}{4\,A^2\,a^4\,b^2\,f^4+16\,A^2\,a^2\,b^4\,e^2\,f^2+16\,A^2\,b^6\,e^4}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}+\frac{3\,B\,a^2\,b^2\,e\,f\,\left(2\,\mathrm{atan}\left(\frac{2\,b^3\,c^3\,e^3+2\,b\,c^2\,e\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)+2\,a^2\,b\,c^3\,e\,f^2+\frac{3\,a^{3/2}\,f^3\,{\left(a\,c\right)}^{3/2}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}+\frac{2\,b^3\,c^2\,e^3\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}-\frac{3\,\sqrt{a}\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}-\frac{a^{3/2}\,c\,f^3\,{\left(a\,c\right)}^{3/2}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+\frac{2\,b\,c\,e\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{\sqrt{a}\,c\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{10\,a^2\,b\,c^2\,e\,f^2\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^2}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^2}+\frac{7\,\sqrt{a}\,b^2\,c^2\,e^2\,f\,\sqrt{a\,c}\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{\sqrt{a}\,b^2\,c\,e^2\,f\,\sqrt{a\,c}\,{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}^3}{{\left(\sqrt{a+b\,x}-\sqrt{a}\right)}^3}}{4\,\sqrt{a}\,b\,c^2\,e\,f\,\sqrt{a\,c}\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)-2\,\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)\,\left(a^2\,c\,f^2-b^2\,c\,e^2\right)}{\sqrt{a+b\,x}-\sqrt{a}}-\frac{a^2\,c\,f^2\,\left(\sqrt{a\,c-b\,c\,x}-\sqrt{a\,c}\right)}{\sqrt{a+b\,x}-\sqrt{a}}+2\,\sqrt{a}\,b\,c\,e\,f\,\sqrt{a\,c}}{2\,b\,c\,e\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}\right)\right)}{2\,{\left(a\,f+b\,e\right)}^2\,{\left(a\,f-b\,e\right)}^2\,\sqrt{b^2\,c\,e^2-a^2\,c\,f^2}}","Not used",1,"((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(4*C*a^4*c^3*f^2 + 2*C*a^2*b^2*c^3*e^2))/(((a + b*x)^(1/2) - a^(1/2))*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(68*C*a^4*c^2*f^2 - 14*C*a^2*b^2*c^2*e^2))/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - ((68*C*a^4*c*f^2 - 14*C*a^2*b^2*c*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - ((4*C*a^4*f^2 + 2*C*a^2*b^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(b^5*e^5 - 2*a^2*b^3*e^3*f^2 + a^4*b*e*f^4)) - (a^(1/2)*(a*c)^(1/2)*(48*C*a^4*c*f^3 - 24*C*a^2*b^2*c*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(24*C*a^4*f^3 + 12*C*a^2*b^2*e^2*f))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)) + (a^(1/2)*(a*c)^(1/2)*(24*C*a^4*c^2*f^3 + 12*C*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^6 - 2*a^2*b^4*e^4*f^2 + a^4*b^2*e^2*f^4)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) + (((4*A*a^4*f^4 - 10*A*a^2*b^2*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) - ((4*A*a^4*c^3*f^4 - 10*A*a^2*b^2*c^3*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) - ((4*A*a^4*c^2*f^4 - 58*A*a^2*b^2*c^2*e^2*f^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5*(4*A*a^4*c*f^4 - 58*A*a^2*b^2*c*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^7 + a^4*b*e^3*f^4 - 2*a^2*b^3*e^5*f^2)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*A*b^4*e^4*f - 8*A*a^4*f^5 + 28*A*a^2*b^2*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4*(16*A*a^4*c*f^5 + 32*A*b^4*c*e^4*f - 72*A*a^2*b^2*c*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(16*A*b^4*c^2*e^4*f - 8*A*a^4*c^2*f^5 + 28*A*a^2*b^2*c^2*e^2*f^3))/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^8 - 2*a^2*b^4*e^6*f^2 + a^4*b^2*e^4*f^4)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) - (((32*B*a^4*c^2*f^3 + 22*B*a^2*b^2*c^2*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(((a + b*x)^(1/2) - a^(1/2))^3*(b^5*e^6 + a^4*b*e^2*f^4 - 2*a^2*b^3*e^4*f^2)) - ((32*B*a^4*c*f^3 + 22*B*a^2*b^2*c*e^2*f)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(((a + b*x)^(1/2) - a^(1/2))^5*(b^5*e^6 + a^4*b*e^2*f^4 - 2*a^2*b^3*e^4*f^2)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(8*B*a^4*c^2*f^4 + 8*B*b^4*c^2*e^4 + 20*B*a^2*b^2*c^2*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^2*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) + (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(8*B*a^4*f^4 + 8*B*b^4*e^4 + 20*B*a^2*b^2*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^6*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) - (a^(1/2)*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4*(16*B*a^4*c*f^4 - 16*B*b^4*c*e^4 + 24*B*a^2*b^2*c*e^2*f^2))/(((a + b*x)^(1/2) - a^(1/2))^4*(b^6*e^7 - 2*a^2*b^4*e^5*f^2 + a^4*b^2*e^3*f^4)) - (6*B*a^2*b*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(((a + b*x)^(1/2) - a^(1/2))^7*(a^4*f^4 + b^4*e^4 - 2*a^2*b^2*e^2*f^2)) + (6*B*a^2*b*c^3*f*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(((a + b*x)^(1/2) - a^(1/2))*(a^4*f^4 + b^4*e^4 - 2*a^2*b^2*e^2*f^2)))/(((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^8/((a + b*x)^(1/2) - a^(1/2))^8 + c^4 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^6*(16*a^2*c*f^2 + 4*b^2*c*e^2))/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^6) + ((16*a^2*c^3*f^2 + 4*b^2*c^3*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^2) - ((32*a^2*c^2*f^2 - 6*b^2*c^2*e^2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^4)/(b^2*e^2*((a + b*x)^(1/2) - a^(1/2))^4) - (8*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^7)/(b*e*((a + b*x)^(1/2) - a^(1/2))^7) + (8*a^(1/2)*c^3*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/(b*e*((a + b*x)^(1/2) - a^(1/2))) - (8*a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^5)/(b*e*((a + b*x)^(1/2) - a^(1/2))^5) + (8*a^(1/2)*c^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/(b*e*((a + b*x)^(1/2) - a^(1/2))^3)) + (C*a^2*(2*a^2*f^2 + b^2*e^2)*(2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) + 2*atan(((((((4*(4*C^2*a^8*f^4 + C^2*a^4*b^4*e^4 + 4*C^2*a^6*b^2*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (C*a^(3/2)*(2*a^2*f^2 + b^2*e^2)*(8*C*a^(17/2)*f^7*(a*c)^(1/2) - 12*C*a^(13/2)*b^2*e^2*f^5*(a*c)^(1/2) + 4*C*a^(5/2)*b^6*e^6*f*(a*c)^(1/2)))/(2*b*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(((4*(4*C^2*a^8*c*f^4 + C^2*a^4*b^4*c*e^4 + 4*C^2*a^6*b^2*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (8*C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2)/(b*e*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)) - (C*a^(3/2)*(2*a^2*f^2 + b^2*e^2)*(8*C*a^(17/2)*c*f^7*(a*c)^(1/2) + 4*C*a^(5/2)*b^6*c*e^6*f*(a*c)^(1/2) - 12*C*a^(13/2)*b^2*c*e^2*f^5*(a*c)^(1/2)))/(2*b*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8))))/((a + b*x)^(1/2) - a^(1/2)) - ((((4*(4*C^2*a^8*f^4 + C^2*a^4*b^4*e^4 + 4*C^2*a^6*b^2*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (4*C^2*a^(9/2)*f*(a*c)^(1/2)*(2*a^2*f^2 + b^2*e^2)^2)/(b^2*c*e^2*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - ((4*(4*C^2*a^8*c*f^4 + C^2*a^4*b^4*c*e^4 + 4*C^2*a^6*b^2*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (C^2*a^4*(2*a^2*f^2 + b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))*(b^10*e^10*(a^2*c*f^2 - b^2*c*e^2) - 4*a^2*b^8*e^8*f^2*(a^2*c*f^2 - b^2*c*e^2) + 6*a^4*b^6*e^6*f^4*(a^2*c*f^2 - b^2*c*e^2) - 4*a^6*b^4*e^4*f^6*(a^2*c*f^2 - b^2*c*e^2) + a^8*b^2*e^2*f^8*(a^2*c*f^2 - b^2*c*e^2)))/(16*C^2*a^8*f^4 + 4*C^2*a^4*b^4*e^4 + 16*C^2*a^6*b^2*e^2*f^2))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (A*b^2*(a^2*f^2 + 2*b^2*e^2)*(2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) + 2*atan((((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(((4*(4*A^2*b^8*c*e^4 + A^2*a^4*b^4*c*f^4 + 4*A^2*a^2*b^6*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (8*A^2*b^3*(a^2*f^2 + 2*b^2*e^2)^2)/(e*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)) - (A*b*(a^2*f^2 + 2*b^2*e^2)*(4*A*a^(13/2)*b^2*c*f^7*(a*c)^(1/2) + 8*A*a^(1/2)*b^8*c*e^6*f*(a*c)^(1/2) - 12*A*a^(5/2)*b^6*c*e^4*f^3*(a*c)^(1/2)))/(2*a^(1/2)*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8))))/((a + b*x)^(1/2) - a^(1/2)) + ((((4*(4*A^2*b^8*e^4 + A^2*a^4*b^4*f^4 + 4*A^2*a^2*b^6*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(4*b*c^2*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (A*b*(a^2*f^2 + 2*b^2*e^2)*(4*A*a^(13/2)*b^2*f^7*(a*c)^(1/2) - 12*A*a^(5/2)*b^6*e^4*f^3*(a*c)^(1/2) + 8*A*a^(1/2)*b^8*e^6*f*(a*c)^(1/2)))/(2*a^(1/2)*c^2*e*f*(a*c)^(1/2)*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 - ((((4*(4*A^2*b^8*e^4 + A^2*a^4*b^4*f^4 + 4*A^2*a^2*b^6*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) - (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(12*a^10*c*f^10 - 4*b^10*c*e^10 + 28*a^2*b^8*c*e^8*f^2 - 72*a^4*b^6*c*e^6*f^4 + 88*a^6*b^4*c*e^4*f^6 - 52*a^8*b^2*c*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (4*A^2*a^(1/2)*b^2*f*(a*c)^(1/2)*(a^2*f^2 + 2*b^2*e^2)^2)/(c*e^2*(a*f + b*e)^4*(a*f - b*e)^4*(b^2*c*e^2 - a^2*c*f^2)^(3/2)))*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - ((4*(4*A^2*b^8*c*e^4 + A^2*a^4*b^4*c*f^4 + 4*A^2*a^2*b^6*c*e^2*f^2))/(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8) + (A^2*b^4*(a^2*f^2 + 2*b^2*e^2)^2*(4*a^10*c^2*f^10 + 4*b^10*c^2*e^10 - 12*a^2*b^8*c^2*e^8*f^2 + 8*a^4*b^6*c^2*e^6*f^4 + 8*a^6*b^4*c^2*e^4*f^6 - 12*a^8*b^2*c^2*e^2*f^8))/((a*f + b*e)^4*(a*f - b*e)^4*(a^2*c*f^2 - b^2*c*e^2)*(b^10*e^10 - 4*a^2*b^8*e^8*f^2 + 6*a^4*b^6*e^6*f^4 - 4*a^6*b^4*e^4*f^6 + a^8*b^2*e^2*f^8)))/(2*a^(1/2)*c*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))*(b^8*e^10*(a^2*c*f^2 - b^2*c*e^2) + a^8*e^2*f^8*(a^2*c*f^2 - b^2*c*e^2) - 4*a^2*b^6*e^8*f^2*(a^2*c*f^2 - b^2*c*e^2) + 6*a^4*b^4*e^6*f^4*(a^2*c*f^2 - b^2*c*e^2) - 4*a^6*b^2*e^4*f^6*(a^2*c*f^2 - b^2*c*e^2)))/(16*A^2*b^6*e^4 + 4*A^2*a^4*b^2*f^4 + 16*A^2*a^2*b^4*e^2*f^2))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2)) + (3*B*a^2*b^2*e*f*(2*atan((2*b^3*c^3*e^3 + 2*b*c^2*e*(a^2*c*f^2 - b^2*c*e^2) + 2*a^2*b*c^3*e*f^2 + (3*a^(3/2)*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3 + (2*b^3*c^2*e^3*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 - (3*a^(1/2)*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^3 - (a^(3/2)*c*f^3*(a*c)^(3/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + (2*b*c*e*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2))^2 + (a^(1/2)*c*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (10*a^2*b*c^2*e*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^2)/((a + b*x)^(1/2) - a^(1/2))^2 + (7*a^(1/2)*b^2*c^2*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) - (a^(1/2)*b^2*c*e^2*f*(a*c)^(1/2)*((a*c - b*c*x)^(1/2) - (a*c)^(1/2))^3)/((a + b*x)^(1/2) - a^(1/2))^3)/(4*a^(1/2)*b*c^2*e*f*(a*c)^(1/2)*(b^2*c*e^2 - a^2*c*f^2)^(1/2))) - 2*atan(((((a*c - b*c*x)^(1/2) - (a*c)^(1/2))*(a^2*c*f^2 - b^2*c*e^2))/((a + b*x)^(1/2) - a^(1/2)) - (a^2*c*f^2*((a*c - b*c*x)^(1/2) - (a*c)^(1/2)))/((a + b*x)^(1/2) - a^(1/2)) + 2*a^(1/2)*b*c*e*f*(a*c)^(1/2))/(2*b*c*e*(b^2*c*e^2 - a^2*c*f^2)^(1/2)))))/(2*(a*f + b*e)^2*(a*f - b*e)^2*(b^2*c*e^2 - a^2*c*f^2)^(1/2))","B"
34,1,318,87,14.761785,"\text{Not used}","int((x*(a + b*x + c*x^2))/((d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\sqrt{d\,x-1}\,\left(\frac{2\,c}{3\,d^4}+\frac{c\,x^3}{3\,d}+\frac{c\,x^2}{3\,d^2}+\frac{2\,c\,x}{3\,d^3}\right)}{\sqrt{d\,x+1}}+\frac{2\,b\,\mathrm{atanh}\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{\frac{14\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,b\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{2\,b\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\sqrt{d\,x+1}-1}}{d^3-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{6\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}}+\frac{a\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}","Not used",1,"(2*b*atanh(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*b*((d*x - 1)^(1/2) - 1i)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*b*((d*x - 1)^(1/2) - 1i)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*b*((d*x - 1)^(1/2) - 1i)^7)/((d*x + 1)^(1/2) - 1)^7 + (2*b*((d*x - 1)^(1/2) - 1i))/((d*x + 1)^(1/2) - 1))/(d^3 - (4*d^3*((d*x - 1)^(1/2) - 1i)^2)/((d*x + 1)^(1/2) - 1)^2 + (6*d^3*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 - (4*d^3*((d*x - 1)^(1/2) - 1i)^6)/((d*x + 1)^(1/2) - 1)^6 + (d^3*((d*x - 1)^(1/2) - 1i)^8)/((d*x + 1)^(1/2) - 1)^8) + ((d*x - 1)^(1/2)*((2*c)/(3*d^4) + (c*x^3)/(3*d) + (c*x^2)/(3*d^2) + (2*c*x)/(3*d^3)))/(d*x + 1)^(1/2) + (a*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2","B"
35,1,312,52,14.587478,"\text{Not used}","int((a + b*x + c*x^2)/((d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{b\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}+\frac{2\,c\,\mathrm{atanh}\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)}{d^3}-\frac{4\,a\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-\frac{\frac{14\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^3}{{\left(\sqrt{d\,x+1}-1\right)}^3}+\frac{14\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^5}{{\left(\sqrt{d\,x+1}-1\right)}^5}+\frac{2\,c\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{d\,x+1}-1\right)}^7}+\frac{2\,c\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\sqrt{d\,x+1}-1}}{d^3-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{6\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}-\frac{4\,d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}+\frac{d^3\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{d\,x+1}-1\right)}^8}}","Not used",1,"(2*c*atanh(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))/d^3 - ((14*c*((d*x - 1)^(1/2) - 1i)^3)/((d*x + 1)^(1/2) - 1)^3 + (14*c*((d*x - 1)^(1/2) - 1i)^5)/((d*x + 1)^(1/2) - 1)^5 + (2*c*((d*x - 1)^(1/2) - 1i)^7)/((d*x + 1)^(1/2) - 1)^7 + (2*c*((d*x - 1)^(1/2) - 1i))/((d*x + 1)^(1/2) - 1))/(d^3 - (4*d^3*((d*x - 1)^(1/2) - 1i)^2)/((d*x + 1)^(1/2) - 1)^2 + (6*d^3*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 - (4*d^3*((d*x - 1)^(1/2) - 1i)^6)/((d*x + 1)^(1/2) - 1)^6 + (d^3*((d*x - 1)^(1/2) - 1i)^8)/((d*x + 1)^(1/2) - 1)^8) - (4*a*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) + (b*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2","B"
36,1,118,55,5.390621,"\text{Not used}","int((a + b*x + c*x^2)/(x*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{c\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{d^2}-\frac{4\,b\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-a\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}","Not used",1,"(c*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/d^2 - (4*b*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) - a*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i","B"
37,1,118,55,5.151291,"\text{Not used}","int((a + b*x + c*x^2)/(x^2*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{a\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}-\frac{4\,c\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{d\,x-1}-\mathrm{i}\right)}{\left(\sqrt{d\,x+1}-1\right)\,\sqrt{-d^2}}\right)}{\sqrt{-d^2}}-b\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}","Not used",1,"(a*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x - (4*c*atan((d*((d*x - 1)^(1/2) - 1i))/(((d*x + 1)^(1/2) - 1)*(-d^2)^(1/2))))/(-d^2)^(1/2) - b*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i","B"
38,1,316,83,12.772858,"\text{Not used}","int((a + b*x + c*x^2)/(x^3*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{a\,d^2\,1{}\mathrm{i}}{32}+\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{16\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4\,15{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}-c\,\left(\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)-\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\right)\,1{}\mathrm{i}-\frac{a\,d^2\,\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}}{2}+\frac{a\,d^2\,\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\,1{}\mathrm{i}}{2}+\frac{b\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}+\frac{a\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"((a*d^2*1i)/32 + (a*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(16*((d*x + 1)^(1/2) - 1)^2) - (a*d^2*((d*x - 1)^(1/2) - 1i)^4*15i)/(32*((d*x + 1)^(1/2) - 1)^4))/(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + (2*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 + ((d*x - 1)^(1/2) - 1i)^6/((d*x + 1)^(1/2) - 1)^6) - c*(log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1) - log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1)))*1i - (a*d^2*log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1)*1i)/2 + (a*d^2*log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1))*1i)/2 + (b*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x + (a*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(32*((d*x + 1)^(1/2) - 1)^2)","B"
39,1,304,116,11.819005,"\text{Not used}","int((a + b*x + c*x^2)/(x^4*(d*x - 1)^(1/2)*(d*x + 1)^(1/2)),x)","\frac{\frac{b\,d^2\,1{}\mathrm{i}}{32}+\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{16\,{\left(\sqrt{d\,x+1}-1\right)}^2}-\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4\,15{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^4}}{\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+\frac{2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^4}{{\left(\sqrt{d\,x+1}-1\right)}^4}+\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^6}{{\left(\sqrt{d\,x+1}-1\right)}^6}}-\frac{b\,d^2\,\ln\left(\frac{{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{d\,x+1}-1\right)}^2}+1\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^2\,\ln\left(\frac{\sqrt{d\,x-1}-\mathrm{i}}{\sqrt{d\,x+1}-1}\right)\,1{}\mathrm{i}}{2}+\frac{c\,\sqrt{d\,x-1}\,\sqrt{d\,x+1}}{x}+\frac{\sqrt{d\,x-1}\,\left(\frac{2\,a\,d^3\,x^3}{3}+\frac{2\,a\,d^2\,x^2}{3}+\frac{a\,d\,x}{3}+\frac{a}{3}\right)}{x^3\,\sqrt{d\,x+1}}+\frac{b\,d^2\,{\left(\sqrt{d\,x-1}-\mathrm{i}\right)}^2\,1{}\mathrm{i}}{32\,{\left(\sqrt{d\,x+1}-1\right)}^2}","Not used",1,"((b*d^2*1i)/32 + (b*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(16*((d*x + 1)^(1/2) - 1)^2) - (b*d^2*((d*x - 1)^(1/2) - 1i)^4*15i)/(32*((d*x + 1)^(1/2) - 1)^4))/(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + (2*((d*x - 1)^(1/2) - 1i)^4)/((d*x + 1)^(1/2) - 1)^4 + ((d*x - 1)^(1/2) - 1i)^6/((d*x + 1)^(1/2) - 1)^6) - (b*d^2*log(((d*x - 1)^(1/2) - 1i)^2/((d*x + 1)^(1/2) - 1)^2 + 1)*1i)/2 + (b*d^2*log(((d*x - 1)^(1/2) - 1i)/((d*x + 1)^(1/2) - 1))*1i)/2 + (c*(d*x - 1)^(1/2)*(d*x + 1)^(1/2))/x + ((d*x - 1)^(1/2)*(a/3 + (2*a*d^2*x^2)/3 + (2*a*d^3*x^3)/3 + (a*d*x)/3))/(x^3*(d*x + 1)^(1/2)) + (b*d^2*((d*x - 1)^(1/2) - 1i)^2*1i)/(32*((d*x + 1)^(1/2) - 1)^2)","B"
40,1,7235,199,66.846989,"\text{Not used}","int((a + b*x + c*x^2)/((x - 1)^(1/2)*(x + 1)^(1/2)*(d + e*x)^3),x)","\frac{-\frac{2\,\left(7\,c\,d^4+14\,c\,d^2\,e^2\right)\,\left(\sqrt{x-1}-\mathrm{i}\right)}{7\,d^3\,\left(\sqrt{x+1}-1\right)\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(c\,d^2\,e+2\,c\,e^3\right)\,12{}\mathrm{i}}{d^2\,{\left(\sqrt{x+1}-1\right)}^2\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(2\,c\,e^3-c\,d^2\,e\right)\,24{}\mathrm{i}}{d^2\,{\left(\sqrt{x+1}-1\right)}^4\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{2\,\left(21\,c\,d^4-102\,c\,d^2\,e^2\right)\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5}{3\,d^3\,{\left(\sqrt{x+1}-1\right)}^5\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{2\,\left(35\,c\,d^4-170\,c\,d^2\,e^2\right)\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{5\,d^3\,{\left(\sqrt{x+1}-1\right)}^3\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{c\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7\,\left(d^2\,1{}\mathrm{i}+e^2\,2{}\mathrm{i}\right)\,2{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^7\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{12\,c\,e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(d^2\,1{}\mathrm{i}+e^2\,2{}\mathrm{i}\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^6\,\left(d^4-2\,d^2\,e^2+e^4\right)}}{\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{x+1}-1\right)}^8}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^2}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^6}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(6\,d^2-32\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^4}+1-\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,8{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^3}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^5}-\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^7}}-\frac{\frac{2\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3\,\left(11\,b\,d^2\,e+16\,b\,e^3\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^3\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{6\,b\,e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7}{{\left(\sqrt{x+1}-1\right)}^7\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{6\,b\,e\,\left(\sqrt{x-1}-\mathrm{i}\right)}{\left(\sqrt{x+1}-1\right)\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(-2\,b\,d^4+3\,b\,d^2\,e^2+2\,b\,e^4\right)\,8{}\mathrm{i}}{d^3\,{\left(\sqrt{x+1}-1\right)}^4\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{b\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(2\,d^4+5\,d^2\,e^2+2\,e^4\right)\,4{}\mathrm{i}}{d^3\,{\left(\sqrt{x+1}-1\right)}^2\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{b\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(2\,d^4+5\,d^2\,e^2+2\,e^4\right)\,4{}\mathrm{i}}{d^3\,{\left(\sqrt{x+1}-1\right)}^6\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{2\,b\,e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5\,\left(11\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^5\,\left(d^4-2\,d^2\,e^2+e^4\right)}}{\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{x+1}-1\right)}^8}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^2}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^6}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(6\,d^2-32\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^4}+1-\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,8{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^3}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^5}-\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^7}}+\frac{\frac{2\,\left(2\,a\,e^4-5\,a\,d^2\,e^2\right)\,\left(\sqrt{x-1}-\mathrm{i}\right)}{d^3\,\left(\sqrt{x+1}-1\right)\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(4\,a\,d^4\,e-9\,a\,d^2\,e^3+2\,a\,e^5\right)\,8{}\mathrm{i}}{d^4\,{\left(\sqrt{x+1}-1\right)}^4\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{2\,\left(2\,a\,e^4-5\,a\,d^2\,e^2\right)\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7}{d^3\,{\left(\sqrt{x+1}-1\right)}^7\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{2\,\left(2\,a\,e^4-29\,a\,d^2\,e^2\right)\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3}{d^3\,{\left(\sqrt{x+1}-1\right)}^3\,\left(d^4-2\,d^2\,e^2+e^4\right)}-\frac{2\,\left(2\,a\,e^4-29\,a\,d^2\,e^2\right)\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5}{d^3\,{\left(\sqrt{x+1}-1\right)}^5\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,a\,d^4+7\,a\,d^2\,e^2-2\,a\,e^4\right)\,4{}\mathrm{i}}{d^4\,{\left(\sqrt{x+1}-1\right)}^2\,\left(d^4-2\,d^2\,e^2+e^4\right)}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(4\,a\,d^4+7\,a\,d^2\,e^2-2\,a\,e^4\right)\,4{}\mathrm{i}}{d^4\,{\left(\sqrt{x+1}-1\right)}^6\,\left(d^4-2\,d^2\,e^2+e^4\right)}}{\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^8}{{\left(\sqrt{x+1}-1\right)}^8}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^2}-\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^6\,\left(4\,d^2+16\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^6}+\frac{{\left(\sqrt{x-1}-\mathrm{i}\right)}^4\,\left(6\,d^2-32\,e^2\right)}{d^2\,{\left(\sqrt{x+1}-1\right)}^4}+1-\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,8{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^3\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^3}+\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^5\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^5}-\frac{e\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^7\,8{}\mathrm{i}}{d\,{\left(\sqrt{x+1}-1\right)}^7}}-\frac{c\,\mathrm{atan}\left(\frac{\frac{c\,\left(d^2+2\,e^2\right)\,\left(\frac{4\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{c\,\left(d^2+2\,e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{c\,\left(d^2+2\,e^2\right)\,\left(\frac{4\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{c\,\left(d^2+2\,e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}{\frac{8\,\left(c^2\,d^4+4\,c^2\,d^2\,e^2+4\,c^2\,e^4\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}-\frac{8\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(c^2\,d^4+4\,c^2\,d^2\,e^2+4\,c^2\,e^4\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{c\,\left(d^2+2\,e^2\right)\,\left(\frac{4\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{c\,\left(d^2+2\,e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{c\,\left(d^2+2\,e^2\right)\,\left(\frac{4\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4{}\mathrm{i}\,c\,d^6\,e-12{}\mathrm{i}\,c\,d^2\,e^5+8{}\mathrm{i}\,c\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{c\,\left(d^2+2\,e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}\right)\,\left(d^2+2\,e^2\right)\,1{}\mathrm{i}}{{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}-\frac{a\,\mathrm{atan}\left(\frac{\frac{a\,\left(2\,d^2+e^2\right)\,\left(\frac{4\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{a\,\left(2\,d^2+e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{a\,\left(2\,d^2+e^2\right)\,\left(\frac{4\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{a\,\left(2\,d^2+e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,1{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}{\frac{8\,\left(4\,a^2\,d^4+4\,a^2\,d^2\,e^2+a^2\,e^4\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}-\frac{8\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,a^2\,d^4+4\,a^2\,d^2\,e^2+a^2\,e^4\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{a\,\left(2\,d^2+e^2\right)\,\left(\frac{4\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{a\,\left(2\,d^2+e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{a\,\left(2\,d^2+e^2\right)\,\left(\frac{4\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(8{}\mathrm{i}\,a\,d^6\,e-12{}\mathrm{i}\,a\,d^4\,e^3+4{}\mathrm{i}\,a\,e^7\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{a\,\left(2\,d^2+e^2\right)\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}\right)\,\left(2\,d^2+e^2\right)\,1{}\mathrm{i}}{{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{b\,d\,e\,\mathrm{atan}\left(\frac{\frac{b\,d\,e\,\left(\frac{4\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{3\,b\,d\,e\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{b\,d\,e\,\left(\frac{4\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{3\,b\,d\,e\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)\,3{}\mathrm{i}}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}{\frac{72\,b^2\,d^2\,e^2}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}-\frac{72\,b^2\,d^2\,e^2\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{3\,b\,d\,e\,\left(\frac{4\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}-\frac{3\,b\,d\,e\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}+\frac{3\,b\,d\,e\,\left(\frac{4\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(12{}\mathrm{i}\,b\,d^5\,e^2-24{}\mathrm{i}\,b\,d^3\,e^4+12{}\mathrm{i}\,b\,d\,e^6\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}+\frac{3\,b\,d\,e\,\left(-\frac{4\,\left(4\,d^{10}-12\,d^8\,e^2+8\,d^6\,e^4+8\,d^4\,e^6-12\,d^2\,e^8+4\,e^{10}\right)}{d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8}+\frac{e\,\left(\sqrt{x-1}-\mathrm{i}\right)\,64{}\mathrm{i}}{d\,\left(\sqrt{x+1}-1\right)}+\frac{4\,{\left(\sqrt{x-1}-\mathrm{i}\right)}^2\,\left(4\,d^{10}-28\,d^8\,e^2+72\,d^6\,e^4-88\,d^4\,e^6+52\,d^2\,e^8-12\,e^{10}\right)}{{\left(\sqrt{x+1}-1\right)}^2\,\left(d^{10}-4\,d^8\,e^2+6\,d^6\,e^4-4\,d^4\,e^6+d^2\,e^8\right)}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}\right)}{2\,{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}}\right)\,3{}\mathrm{i}}{{\left(d+e\right)}^{5/2}\,{\left(d-e\right)}^{5/2}}","Not used",1,"((((x - 1)^(1/2) - 1i)^2*(2*c*e^3 + c*d^2*e)*12i)/(d^2*((x + 1)^(1/2) - 1)^2*(d^4 + e^4 - 2*d^2*e^2)) - (2*(7*c*d^4 + 14*c*d^2*e^2)*((x - 1)^(1/2) - 1i))/(7*d^3*((x + 1)^(1/2) - 1)*(d^4 + e^4 - 2*d^2*e^2)) + (((x - 1)^(1/2) - 1i)^4*(2*c*e^3 - c*d^2*e)*24i)/(d^2*((x + 1)^(1/2) - 1)^4*(d^4 + e^4 - 2*d^2*e^2)) - (2*(21*c*d^4 - 102*c*d^2*e^2)*((x - 1)^(1/2) - 1i)^5)/(3*d^3*((x + 1)^(1/2) - 1)^5*(d^4 + e^4 - 2*d^2*e^2)) - (2*(35*c*d^4 - 170*c*d^2*e^2)*((x - 1)^(1/2) - 1i)^3)/(5*d^3*((x + 1)^(1/2) - 1)^3*(d^4 + e^4 - 2*d^2*e^2)) + (c*((x - 1)^(1/2) - 1i)^7*(d^2*1i + e^2*2i)*2i)/(d*((x + 1)^(1/2) - 1)^7*(d^4 + e^4 - 2*d^2*e^2)) + (12*c*e*((x - 1)^(1/2) - 1i)^6*(d^2*1i + e^2*2i))/(d^2*((x + 1)^(1/2) - 1)^6*(d^4 + e^4 - 2*d^2*e^2)))/(((x - 1)^(1/2) - 1i)^8/((x + 1)^(1/2) - 1)^8 - (e*((x - 1)^(1/2) - 1i)*8i)/(d*((x + 1)^(1/2) - 1)) + (e*((x - 1)^(1/2) - 1i)^3*8i)/(d*((x + 1)^(1/2) - 1)^3) + (e*((x - 1)^(1/2) - 1i)^5*8i)/(d*((x + 1)^(1/2) - 1)^5) - (e*((x - 1)^(1/2) - 1i)^7*8i)/(d*((x + 1)^(1/2) - 1)^7) - (((x - 1)^(1/2) - 1i)^2*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^2) - (((x - 1)^(1/2) - 1i)^6*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^6) + (((x - 1)^(1/2) - 1i)^4*(6*d^2 - 32*e^2))/(d^2*((x + 1)^(1/2) - 1)^4) + 1) - ((2*((x - 1)^(1/2) - 1i)^3*(16*b*e^3 + 11*b*d^2*e))/(d^2*((x + 1)^(1/2) - 1)^3*(d^4 + e^4 - 2*d^2*e^2)) - (6*b*e*((x - 1)^(1/2) - 1i)^7)/(((x + 1)^(1/2) - 1)^7*(d^4 + e^4 - 2*d^2*e^2)) - (6*b*e*((x - 1)^(1/2) - 1i))/(((x + 1)^(1/2) - 1)*(d^4 + e^4 - 2*d^2*e^2)) + (((x - 1)^(1/2) - 1i)^4*(2*b*e^4 - 2*b*d^4 + 3*b*d^2*e^2)*8i)/(d^3*((x + 1)^(1/2) - 1)^4*(d^4 + e^4 - 2*d^2*e^2)) + (b*((x - 1)^(1/2) - 1i)^2*(2*d^4 + 2*e^4 + 5*d^2*e^2)*4i)/(d^3*((x + 1)^(1/2) - 1)^2*(d^4 + e^4 - 2*d^2*e^2)) + (b*((x - 1)^(1/2) - 1i)^6*(2*d^4 + 2*e^4 + 5*d^2*e^2)*4i)/(d^3*((x + 1)^(1/2) - 1)^6*(d^4 + e^4 - 2*d^2*e^2)) + (2*b*e*((x - 1)^(1/2) - 1i)^5*(11*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^5*(d^4 + e^4 - 2*d^2*e^2)))/(((x - 1)^(1/2) - 1i)^8/((x + 1)^(1/2) - 1)^8 - (e*((x - 1)^(1/2) - 1i)*8i)/(d*((x + 1)^(1/2) - 1)) + (e*((x - 1)^(1/2) - 1i)^3*8i)/(d*((x + 1)^(1/2) - 1)^3) + (e*((x - 1)^(1/2) - 1i)^5*8i)/(d*((x + 1)^(1/2) - 1)^5) - (e*((x - 1)^(1/2) - 1i)^7*8i)/(d*((x + 1)^(1/2) - 1)^7) - (((x - 1)^(1/2) - 1i)^2*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^2) - (((x - 1)^(1/2) - 1i)^6*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^6) + (((x - 1)^(1/2) - 1i)^4*(6*d^2 - 32*e^2))/(d^2*((x + 1)^(1/2) - 1)^4) + 1) + ((2*(2*a*e^4 - 5*a*d^2*e^2)*((x - 1)^(1/2) - 1i))/(d^3*((x + 1)^(1/2) - 1)*(d^4 + e^4 - 2*d^2*e^2)) - (((x - 1)^(1/2) - 1i)^4*(2*a*e^5 - 9*a*d^2*e^3 + 4*a*d^4*e)*8i)/(d^4*((x + 1)^(1/2) - 1)^4*(d^4 + e^4 - 2*d^2*e^2)) + (2*(2*a*e^4 - 5*a*d^2*e^2)*((x - 1)^(1/2) - 1i)^7)/(d^3*((x + 1)^(1/2) - 1)^7*(d^4 + e^4 - 2*d^2*e^2)) - (2*(2*a*e^4 - 29*a*d^2*e^2)*((x - 1)^(1/2) - 1i)^3)/(d^3*((x + 1)^(1/2) - 1)^3*(d^4 + e^4 - 2*d^2*e^2)) - (2*(2*a*e^4 - 29*a*d^2*e^2)*((x - 1)^(1/2) - 1i)^5)/(d^3*((x + 1)^(1/2) - 1)^5*(d^4 + e^4 - 2*d^2*e^2)) + (e*((x - 1)^(1/2) - 1i)^2*(4*a*d^4 - 2*a*e^4 + 7*a*d^2*e^2)*4i)/(d^4*((x + 1)^(1/2) - 1)^2*(d^4 + e^4 - 2*d^2*e^2)) + (e*((x - 1)^(1/2) - 1i)^6*(4*a*d^4 - 2*a*e^4 + 7*a*d^2*e^2)*4i)/(d^4*((x + 1)^(1/2) - 1)^6*(d^4 + e^4 - 2*d^2*e^2)))/(((x - 1)^(1/2) - 1i)^8/((x + 1)^(1/2) - 1)^8 - (e*((x - 1)^(1/2) - 1i)*8i)/(d*((x + 1)^(1/2) - 1)) + (e*((x - 1)^(1/2) - 1i)^3*8i)/(d*((x + 1)^(1/2) - 1)^3) + (e*((x - 1)^(1/2) - 1i)^5*8i)/(d*((x + 1)^(1/2) - 1)^5) - (e*((x - 1)^(1/2) - 1i)^7*8i)/(d*((x + 1)^(1/2) - 1)^7) - (((x - 1)^(1/2) - 1i)^2*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^2) - (((x - 1)^(1/2) - 1i)^6*(4*d^2 + 16*e^2))/(d^2*((x + 1)^(1/2) - 1)^6) + (((x - 1)^(1/2) - 1i)^4*(6*d^2 - 32*e^2))/(d^2*((x + 1)^(1/2) - 1)^4) + 1) - (c*atan(((c*(d^2 + 2*e^2)*((4*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (c*(d^2 + 2*e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*1i)/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (c*(d^2 + 2*e^2)*((4*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (c*(d^2 + 2*e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*1i)/(2*(d + e)^(5/2)*(d - e)^(5/2)))/((8*(c^2*d^4 + 4*c^2*e^4 + 4*c^2*d^2*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) - (8*((x - 1)^(1/2) - 1i)^2*(c^2*d^4 + 4*c^2*e^4 + 4*c^2*d^2*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (c*(d^2 + 2*e^2)*((4*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (c*(d^2 + 2*e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (c*(d^2 + 2*e^2)*((4*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(c*e^7*8i - c*d^2*e^5*12i + c*d^6*e*4i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (c*(d^2 + 2*e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))*(d^2 + 2*e^2)*1i)/((d + e)^(5/2)*(d - e)^(5/2)) - (a*atan(((a*(2*d^2 + e^2)*((4*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (a*(2*d^2 + e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*1i)/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (a*(2*d^2 + e^2)*((4*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (a*(2*d^2 + e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*1i)/(2*(d + e)^(5/2)*(d - e)^(5/2)))/((8*(4*a^2*d^4 + a^2*e^4 + 4*a^2*d^2*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) - (8*((x - 1)^(1/2) - 1i)^2*(4*a^2*d^4 + a^2*e^4 + 4*a^2*d^2*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (a*(2*d^2 + e^2)*((4*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (a*(2*d^2 + e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (a*(2*d^2 + e^2)*((4*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(a*e^7*4i - a*d^4*e^3*12i + a*d^6*e*8i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (a*(2*d^2 + e^2)*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))*(2*d^2 + e^2)*1i)/((d + e)^(5/2)*(d - e)^(5/2)) + (b*d*e*atan(((b*d*e*((4*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (3*b*d*e*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*3i)/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (b*d*e*((4*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (3*b*d*e*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)))*3i)/(2*(d + e)^(5/2)*(d - e)^(5/2)))/((72*b^2*d^2*e^2)/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) - (72*b^2*d^2*e^2*((x - 1)^(1/2) - 1i)^2)/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (3*b*d*e*((4*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) - (3*b*d*e*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2)) + (3*b*d*e*((4*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(b*d^5*e^2*12i - b*d^3*e^4*24i + b*d*e^6*12i))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2)) + (3*b*d*e*((e*((x - 1)^(1/2) - 1i)*64i)/(d*((x + 1)^(1/2) - 1)) - (4*(4*d^10 + 4*e^10 - 12*d^2*e^8 + 8*d^4*e^6 + 8*d^6*e^4 - 12*d^8*e^2))/(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2) + (4*((x - 1)^(1/2) - 1i)^2*(4*d^10 - 12*e^10 + 52*d^2*e^8 - 88*d^4*e^6 + 72*d^6*e^4 - 28*d^8*e^2))/(((x + 1)^(1/2) - 1)^2*(d^10 + d^2*e^8 - 4*d^4*e^6 + 6*d^6*e^4 - 4*d^8*e^2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))/(2*(d + e)^(5/2)*(d - e)^(5/2))))*3i)/((d + e)^(5/2)*(d - e)^(5/2))","B"
41,-1,-1,1348,0.000000,"\text{Not used}","int((e + f*x)^(1/2)*(a + b*x)^2*(c + d*x)^(1/2)*(A + B*x + C*x^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
42,-1,-1,721,0.000000,"\text{Not used}","int((e + f*x)^(1/2)*(a + b*x)*(c + d*x)^(1/2)*(A + B*x + C*x^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
43,-1,-1,330,0.000000,"\text{Not used}","int((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
44,-1,-1,450,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
45,-1,-1,521,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^2,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
46,-1,-1,658,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
47,-1,-1,1032,0.000000,"\text{Not used}","int(((a + b*x)^2*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
48,-1,-1,540,0.000000,"\text{Not used}","int(((a + b*x)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
49,1,1832,246,90.549745,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2),x)","\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(2\,A\,e\,d^2+2\,A\,c\,f\,d\right)}{f^3\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}+\frac{\left(2\,A\,c\,f+2\,A\,d\,e\right)\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}-\frac{8\,A\,\sqrt{c}\,d\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}+\frac{d^2}{f^2}-\frac{2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}-\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{C\,c^3\,d^3\,f^3}{4}+\frac{C\,c^2\,d^4\,e\,f^2}{4}+\frac{3\,C\,c\,d^5\,e^2\,f}{4}-\frac{5\,C\,d^6\,e^3}{4}\right)}{f^9\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{19\,C\,c^3\,d\,f^3}{2}+\frac{275\,C\,c^2\,d^2\,e\,f^2}{2}+\frac{313\,C\,c\,d^3\,e^2\,f}{2}+\frac{33\,C\,d^4\,e^3}{2}\right)}{f^7\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{19\,C\,c^3\,f^3}{2}+\frac{275\,C\,c^2\,d\,e\,f^2}{2}+\frac{313\,C\,c\,d^2\,e^2\,f}{2}+\frac{33\,C\,d^3\,e^3}{2}\right)}{f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{17\,C\,c^3\,d^2\,f^3}{12}+\frac{91\,C\,c^2\,d^3\,e\,f^2}{4}+\frac{17\,C\,c\,d^4\,e^2\,f}{4}-\frac{85\,C\,d^5\,e^3}{12}\right)}{f^8\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}\,\left(\frac{C\,c^3\,f^3}{4}+\frac{C\,c^2\,d\,e\,f^2}{4}+\frac{3\,C\,c\,d^2\,e^2\,f}{4}-\frac{5\,C\,d^3\,e^3}{4}\right)}{d^2\,f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{11}}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9\,\left(\frac{17\,C\,c^3\,f^3}{12}+\frac{91\,C\,c^2\,d\,e\,f^2}{4}+\frac{17\,C\,c\,d^2\,e^2\,f}{4}-\frac{85\,C\,d^3\,e^3}{12}\right)}{d\,f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^9}+\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8\,\left(32\,C\,f\,c^2+96\,C\,d\,e\,c\right)}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{\sqrt{c}\,\sqrt{e}\,\left(32\,C\,f\,c^2\,d^2+96\,C\,e\,c\,d^3\right)\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}+\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6\,\left(64\,C\,c^2\,d\,f^2+\frac{704\,C\,c\,d^2\,e\,f}{3}+128\,C\,d^3\,e^2\right)}{f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{12}}+\frac{d^6}{f^6}-\frac{6\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{10}}-\frac{6\,d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{15\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}-\frac{20\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}+\frac{15\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}}+\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{B\,c^2\,d^2\,f^2}{2}+B\,c\,d^3\,e\,f-\frac{3\,B\,d^4\,e^2}{2}\right)}{f^6\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{7\,B\,c^2\,d\,f^2}{2}+23\,B\,c\,d^2\,e\,f+\frac{11\,B\,d^3\,e^2}{2}\right)}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{7\,B\,c^2\,f^2}{2}+23\,B\,c\,d\,e\,f+\frac{11\,B\,d^2\,e^2}{2}\right)}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{B\,c^2\,f^2}{2}+B\,c\,d\,e\,f-\frac{3\,B\,d^2\,e^2}{2}\right)}{d\,f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}-\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4\,\left(32\,B\,e\,d^2+16\,B\,c\,f\,d\right)}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}-\frac{8\,B\,c^{3/2}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}-\frac{8\,B\,c^{3/2}\,d^2\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{d^4}{f^4}-\frac{4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}-\frac{4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{6\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}+\frac{2\,A\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f-d\,e\right)}{\sqrt{d}\,f^{3/2}}+\frac{C\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f-d\,e\right)\,\left(c^2\,f^2+2\,c\,d\,e\,f+5\,d^2\,e^2\right)}{4\,d^{5/2}\,f^{7/2}}-\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f-d\,e\right)\,\left(c\,f+3\,d\,e\right)}{2\,d^{3/2}\,f^{5/2}}","Not used",1,"((((c + d*x)^(1/2) - c^(1/2))*(2*A*d^2*e + 2*A*c*d*f))/(f^3*((e + f*x)^(1/2) - e^(1/2))) + ((2*A*c*f + 2*A*d*e)*((c + d*x)^(1/2) - c^(1/2))^3)/(f^2*((e + f*x)^(1/2) - e^(1/2))^3) - (8*A*c^(1/2)*d*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)/(f^2*((e + f*x)^(1/2) - e^(1/2))^2))/(((c + d*x)^(1/2) - c^(1/2))^4/((e + f*x)^(1/2) - e^(1/2))^4 + d^2/f^2 - (2*d*((c + d*x)^(1/2) - c^(1/2))^2)/(f*((e + f*x)^(1/2) - e^(1/2))^2)) - ((((c + d*x)^(1/2) - c^(1/2))*((C*c^3*d^3*f^3)/4 - (5*C*d^6*e^3)/4 + (C*c^2*d^4*e*f^2)/4 + (3*C*c*d^5*e^2*f)/4))/(f^9*((e + f*x)^(1/2) - e^(1/2))) - (((c + d*x)^(1/2) - c^(1/2))^5*((33*C*d^4*e^3)/2 + (19*C*c^3*d*f^3)/2 + (275*C*c^2*d^2*e*f^2)/2 + (313*C*c*d^3*e^2*f)/2))/(f^7*((e + f*x)^(1/2) - e^(1/2))^5) - (((c + d*x)^(1/2) - c^(1/2))^7*((19*C*c^3*f^3)/2 + (33*C*d^3*e^3)/2 + (313*C*c*d^2*e^2*f)/2 + (275*C*c^2*d*e*f^2)/2))/(f^6*((e + f*x)^(1/2) - e^(1/2))^7) - (((c + d*x)^(1/2) - c^(1/2))^3*((17*C*c^3*d^2*f^3)/12 - (85*C*d^5*e^3)/12 + (91*C*c^2*d^3*e*f^2)/4 + (17*C*c*d^4*e^2*f)/4))/(f^8*((e + f*x)^(1/2) - e^(1/2))^3) + (((c + d*x)^(1/2) - c^(1/2))^11*((C*c^3*f^3)/4 - (5*C*d^3*e^3)/4 + (3*C*c*d^2*e^2*f)/4 + (C*c^2*d*e*f^2)/4))/(d^2*f^4*((e + f*x)^(1/2) - e^(1/2))^11) - (((c + d*x)^(1/2) - c^(1/2))^9*((17*C*c^3*f^3)/12 - (85*C*d^3*e^3)/12 + (17*C*c*d^2*e^2*f)/4 + (91*C*c^2*d*e*f^2)/4))/(d*f^5*((e + f*x)^(1/2) - e^(1/2))^9) + (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^8*(32*C*c^2*f + 96*C*c*d*e))/(f^4*((e + f*x)^(1/2) - e^(1/2))^8) + (c^(1/2)*e^(1/2)*(96*C*c*d^3*e + 32*C*c^2*d^2*f)*((c + d*x)^(1/2) - c^(1/2))^4)/(f^6*((e + f*x)^(1/2) - e^(1/2))^4) + (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^6*(128*C*d^3*e^2 + 64*C*c^2*d*f^2 + (704*C*c*d^2*e*f)/3))/(f^6*((e + f*x)^(1/2) - e^(1/2))^6))/(((c + d*x)^(1/2) - c^(1/2))^12/((e + f*x)^(1/2) - e^(1/2))^12 + d^6/f^6 - (6*d*((c + d*x)^(1/2) - c^(1/2))^10)/(f*((e + f*x)^(1/2) - e^(1/2))^10) - (6*d^5*((c + d*x)^(1/2) - c^(1/2))^2)/(f^5*((e + f*x)^(1/2) - e^(1/2))^2) + (15*d^4*((c + d*x)^(1/2) - c^(1/2))^4)/(f^4*((e + f*x)^(1/2) - e^(1/2))^4) - (20*d^3*((c + d*x)^(1/2) - c^(1/2))^6)/(f^3*((e + f*x)^(1/2) - e^(1/2))^6) + (15*d^2*((c + d*x)^(1/2) - c^(1/2))^8)/(f^2*((e + f*x)^(1/2) - e^(1/2))^8)) + ((((c + d*x)^(1/2) - c^(1/2))*((B*c^2*d^2*f^2)/2 - (3*B*d^4*e^2)/2 + B*c*d^3*e*f))/(f^6*((e + f*x)^(1/2) - e^(1/2))) + (((c + d*x)^(1/2) - c^(1/2))^3*((11*B*d^3*e^2)/2 + (7*B*c^2*d*f^2)/2 + 23*B*c*d^2*e*f))/(f^5*((e + f*x)^(1/2) - e^(1/2))^3) + (((c + d*x)^(1/2) - c^(1/2))^5*((7*B*c^2*f^2)/2 + (11*B*d^2*e^2)/2 + 23*B*c*d*e*f))/(f^4*((e + f*x)^(1/2) - e^(1/2))^5) + (((c + d*x)^(1/2) - c^(1/2))^7*((B*c^2*f^2)/2 - (3*B*d^2*e^2)/2 + B*c*d*e*f))/(d*f^3*((e + f*x)^(1/2) - e^(1/2))^7) - (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^4*(32*B*d^2*e + 16*B*c*d*f))/(f^4*((e + f*x)^(1/2) - e^(1/2))^4) - (8*B*c^(3/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^6)/(f^2*((e + f*x)^(1/2) - e^(1/2))^6) - (8*B*c^(3/2)*d^2*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)/(f^4*((e + f*x)^(1/2) - e^(1/2))^2))/(((c + d*x)^(1/2) - c^(1/2))^8/((e + f*x)^(1/2) - e^(1/2))^8 + d^4/f^4 - (4*d*((c + d*x)^(1/2) - c^(1/2))^6)/(f*((e + f*x)^(1/2) - e^(1/2))^6) - (4*d^3*((c + d*x)^(1/2) - c^(1/2))^2)/(f^3*((e + f*x)^(1/2) - e^(1/2))^2) + (6*d^2*((c + d*x)^(1/2) - c^(1/2))^4)/(f^2*((e + f*x)^(1/2) - e^(1/2))^4)) + (2*A*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f - d*e))/(d^(1/2)*f^(3/2)) + (C*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f - d*e)*(c^2*f^2 + 5*d^2*e^2 + 2*c*d*e*f))/(4*d^(5/2)*f^(7/2)) - (B*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f - d*e)*(c*f + 3*d*e))/(2*d^(3/2)*f^(5/2))","B"
50,-1,-1,290,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
51,-1,-1,364,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
52,-1,-1,484,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^3),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
53,-1,-1,685,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^4),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
54,-1,-1,718,0.000000,"\text{Not used}","int(((a + b*x)^2*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
55,1,2621,371,105.188922,"\text{Not used}","int(((a + b*x)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(2\,A\,b\,c\,f+2\,A\,b\,d\,e\right)}{f^3\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(2\,A\,b\,c\,f+2\,A\,b\,d\,e\right)}{d\,f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}-\frac{8\,A\,b\,\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}+\frac{d^2}{f^2}-\frac{2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}-\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{3\,C\,a\,c^2\,d\,f^2}{2}+C\,a\,c\,d^2\,e\,f+\frac{3\,C\,a\,d^3\,e^2}{2}\right)}{f^6\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{11\,C\,a\,c^2\,f^2}{2}+25\,C\,a\,c\,d\,e\,f+\frac{11\,C\,a\,d^2\,e^2}{2}\right)}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{3\,C\,a\,c^2\,f^2}{2}+C\,a\,c\,d\,e\,f+\frac{3\,C\,a\,d^2\,e^2}{2}\right)}{d^2\,f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{11\,C\,a\,c^2\,f^2}{2}+25\,C\,a\,c\,d\,e\,f+\frac{11\,C\,a\,d^2\,e^2}{2}\right)}{d\,f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}+\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4\,\left(32\,C\,a\,c\,f+32\,C\,a\,d\,e\right)}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{d^4}{f^4}-\frac{4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}-\frac{4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{6\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}-\frac{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{85\,C\,b\,c^3\,d\,f^3}{12}+\frac{17\,C\,b\,c^2\,d^2\,e\,f^2}{4}+\frac{17\,C\,b\,c\,d^3\,e^2\,f}{4}+\frac{85\,C\,b\,d^4\,e^3}{12}\right)}{f^8\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}-\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{5\,C\,b\,c^3\,d^2\,f^3}{4}+\frac{3\,C\,b\,c^2\,d^3\,e\,f^2}{4}+\frac{3\,C\,b\,c\,d^4\,e^2\,f}{4}+\frac{5\,C\,b\,d^5\,e^3}{4}\right)}{f^9\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{33\,C\,b\,c^3\,f^3}{2}+\frac{327\,C\,b\,c^2\,d\,e\,f^2}{2}+\frac{327\,C\,b\,c\,d^2\,e^2\,f}{2}+\frac{33\,C\,b\,d^3\,e^3}{2}\right)}{f^7\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{11}\,\left(\frac{5\,C\,b\,c^3\,f^3}{4}+\frac{3\,C\,b\,c^2\,d\,e\,f^2}{4}+\frac{3\,C\,b\,c\,d^2\,e^2\,f}{4}+\frac{5\,C\,b\,d^3\,e^3}{4}\right)}{d^3\,f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{11}}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^9\,\left(\frac{85\,C\,b\,c^3\,f^3}{12}+\frac{17\,C\,b\,c^2\,d\,e\,f^2}{4}+\frac{17\,C\,b\,c\,d^2\,e^2\,f}{4}+\frac{85\,C\,b\,d^3\,e^3}{12}\right)}{d^2\,f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^9}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{33\,C\,b\,c^3\,f^3}{2}+\frac{327\,C\,b\,c^2\,d\,e\,f^2}{2}+\frac{327\,C\,b\,c\,d^2\,e^2\,f}{2}+\frac{33\,C\,b\,d^3\,e^3}{2}\right)}{d\,f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}+\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6\,\left(128\,C\,b\,c^2\,f^2+\frac{896\,C\,b\,c\,d\,e\,f}{3}+128\,C\,b\,d^2\,e^2\right)}{f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}+\frac{64\,C\,b\,c^{3/2}\,e^{3/2}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{64\,C\,b\,c^{3/2}\,d^2\,e^{3/2}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^6\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{12}}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{12}}+\frac{d^6}{f^6}-\frac{6\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^{10}}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^{10}}-\frac{6\,d^5\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{15\,d^4\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}-\frac{20\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}+\frac{15\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}}-\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{3\,B\,b\,c^2\,d\,f^2}{2}+B\,b\,c\,d^2\,e\,f+\frac{3\,B\,b\,d^3\,e^2}{2}\right)}{f^6\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{11\,B\,b\,c^2\,f^2}{2}+25\,B\,b\,c\,d\,e\,f+\frac{11\,B\,b\,d^2\,e^2}{2}\right)}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{3\,B\,b\,c^2\,f^2}{2}+B\,b\,c\,d\,e\,f+\frac{3\,B\,b\,d^2\,e^2}{2}\right)}{d^2\,f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{11\,B\,b\,c^2\,f^2}{2}+25\,B\,b\,c\,d\,e\,f+\frac{11\,B\,b\,d^2\,e^2}{2}\right)}{d\,f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}+\frac{\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4\,\left(32\,B\,b\,c\,f+32\,B\,b\,d\,e\right)}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{d^4}{f^4}-\frac{4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}-\frac{4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{6\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}+\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(2\,B\,a\,c\,f+2\,B\,a\,d\,e\right)}{f^3\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(2\,B\,a\,c\,f+2\,B\,a\,d\,e\right)}{d\,f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}-\frac{8\,B\,a\,\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}+\frac{d^2}{f^2}-\frac{2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}-\frac{4\,A\,a\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}{\sqrt{-d\,f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{-d\,f}}+\frac{B\,b\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(3\,c^2\,f^2+2\,c\,d\,e\,f+3\,d^2\,e^2\right)}{2\,d^{5/2}\,f^{5/2}}+\frac{C\,a\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(3\,c^2\,f^2+2\,c\,d\,e\,f+3\,d^2\,e^2\right)}{2\,d^{5/2}\,f^{5/2}}-\frac{2\,A\,b\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f+d\,e\right)}{d^{3/2}\,f^{3/2}}-\frac{2\,B\,a\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f+d\,e\right)}{d^{3/2}\,f^{3/2}}-\frac{C\,b\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f+d\,e\right)\,\left(5\,c^2\,f^2-2\,c\,d\,e\,f+5\,d^2\,e^2\right)}{4\,d^{7/2}\,f^{7/2}}","Not used",1,"((((c + d*x)^(1/2) - c^(1/2))*(2*A*b*c*f + 2*A*b*d*e))/(f^3*((e + f*x)^(1/2) - e^(1/2))) + (((c + d*x)^(1/2) - c^(1/2))^3*(2*A*b*c*f + 2*A*b*d*e))/(d*f^2*((e + f*x)^(1/2) - e^(1/2))^3) - (8*A*b*c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)/(f^2*((e + f*x)^(1/2) - e^(1/2))^2))/(((c + d*x)^(1/2) - c^(1/2))^4/((e + f*x)^(1/2) - e^(1/2))^4 + d^2/f^2 - (2*d*((c + d*x)^(1/2) - c^(1/2))^2)/(f*((e + f*x)^(1/2) - e^(1/2))^2)) - ((((c + d*x)^(1/2) - c^(1/2))*((3*C*a*d^3*e^2)/2 + (3*C*a*c^2*d*f^2)/2 + C*a*c*d^2*e*f))/(f^6*((e + f*x)^(1/2) - e^(1/2))) - (((c + d*x)^(1/2) - c^(1/2))^3*((11*C*a*c^2*f^2)/2 + (11*C*a*d^2*e^2)/2 + 25*C*a*c*d*e*f))/(f^5*((e + f*x)^(1/2) - e^(1/2))^3) + (((c + d*x)^(1/2) - c^(1/2))^7*((3*C*a*c^2*f^2)/2 + (3*C*a*d^2*e^2)/2 + C*a*c*d*e*f))/(d^2*f^3*((e + f*x)^(1/2) - e^(1/2))^7) - (((c + d*x)^(1/2) - c^(1/2))^5*((11*C*a*c^2*f^2)/2 + (11*C*a*d^2*e^2)/2 + 25*C*a*c*d*e*f))/(d*f^4*((e + f*x)^(1/2) - e^(1/2))^5) + (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^4*(32*C*a*c*f + 32*C*a*d*e))/(f^4*((e + f*x)^(1/2) - e^(1/2))^4))/(((c + d*x)^(1/2) - c^(1/2))^8/((e + f*x)^(1/2) - e^(1/2))^8 + d^4/f^4 - (4*d*((c + d*x)^(1/2) - c^(1/2))^6)/(f*((e + f*x)^(1/2) - e^(1/2))^6) - (4*d^3*((c + d*x)^(1/2) - c^(1/2))^2)/(f^3*((e + f*x)^(1/2) - e^(1/2))^2) + (6*d^2*((c + d*x)^(1/2) - c^(1/2))^4)/(f^2*((e + f*x)^(1/2) - e^(1/2))^4)) - ((((c + d*x)^(1/2) - c^(1/2))^3*((85*C*b*d^4*e^3)/12 + (85*C*b*c^3*d*f^3)/12 + (17*C*b*c*d^3*e^2*f)/4 + (17*C*b*c^2*d^2*e*f^2)/4))/(f^8*((e + f*x)^(1/2) - e^(1/2))^3) - (((c + d*x)^(1/2) - c^(1/2))*((5*C*b*d^5*e^3)/4 + (5*C*b*c^3*d^2*f^3)/4 + (3*C*b*c*d^4*e^2*f)/4 + (3*C*b*c^2*d^3*e*f^2)/4))/(f^9*((e + f*x)^(1/2) - e^(1/2))) - (((c + d*x)^(1/2) - c^(1/2))^5*((33*C*b*c^3*f^3)/2 + (33*C*b*d^3*e^3)/2 + (327*C*b*c*d^2*e^2*f)/2 + (327*C*b*c^2*d*e*f^2)/2))/(f^7*((e + f*x)^(1/2) - e^(1/2))^5) - (((c + d*x)^(1/2) - c^(1/2))^11*((5*C*b*c^3*f^3)/4 + (5*C*b*d^3*e^3)/4 + (3*C*b*c*d^2*e^2*f)/4 + (3*C*b*c^2*d*e*f^2)/4))/(d^3*f^4*((e + f*x)^(1/2) - e^(1/2))^11) + (((c + d*x)^(1/2) - c^(1/2))^9*((85*C*b*c^3*f^3)/12 + (85*C*b*d^3*e^3)/12 + (17*C*b*c*d^2*e^2*f)/4 + (17*C*b*c^2*d*e*f^2)/4))/(d^2*f^5*((e + f*x)^(1/2) - e^(1/2))^9) - (((c + d*x)^(1/2) - c^(1/2))^7*((33*C*b*c^3*f^3)/2 + (33*C*b*d^3*e^3)/2 + (327*C*b*c*d^2*e^2*f)/2 + (327*C*b*c^2*d*e*f^2)/2))/(d*f^6*((e + f*x)^(1/2) - e^(1/2))^7) + (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^6*(128*C*b*c^2*f^2 + 128*C*b*d^2*e^2 + (896*C*b*c*d*e*f)/3))/(f^6*((e + f*x)^(1/2) - e^(1/2))^6) + (64*C*b*c^(3/2)*e^(3/2)*((c + d*x)^(1/2) - c^(1/2))^8)/(f^4*((e + f*x)^(1/2) - e^(1/2))^8) + (64*C*b*c^(3/2)*d^2*e^(3/2)*((c + d*x)^(1/2) - c^(1/2))^4)/(f^6*((e + f*x)^(1/2) - e^(1/2))^4))/(((c + d*x)^(1/2) - c^(1/2))^12/((e + f*x)^(1/2) - e^(1/2))^12 + d^6/f^6 - (6*d*((c + d*x)^(1/2) - c^(1/2))^10)/(f*((e + f*x)^(1/2) - e^(1/2))^10) - (6*d^5*((c + d*x)^(1/2) - c^(1/2))^2)/(f^5*((e + f*x)^(1/2) - e^(1/2))^2) + (15*d^4*((c + d*x)^(1/2) - c^(1/2))^4)/(f^4*((e + f*x)^(1/2) - e^(1/2))^4) - (20*d^3*((c + d*x)^(1/2) - c^(1/2))^6)/(f^3*((e + f*x)^(1/2) - e^(1/2))^6) + (15*d^2*((c + d*x)^(1/2) - c^(1/2))^8)/(f^2*((e + f*x)^(1/2) - e^(1/2))^8)) - ((((c + d*x)^(1/2) - c^(1/2))*((3*B*b*d^3*e^2)/2 + (3*B*b*c^2*d*f^2)/2 + B*b*c*d^2*e*f))/(f^6*((e + f*x)^(1/2) - e^(1/2))) - (((c + d*x)^(1/2) - c^(1/2))^3*((11*B*b*c^2*f^2)/2 + (11*B*b*d^2*e^2)/2 + 25*B*b*c*d*e*f))/(f^5*((e + f*x)^(1/2) - e^(1/2))^3) + (((c + d*x)^(1/2) - c^(1/2))^7*((3*B*b*c^2*f^2)/2 + (3*B*b*d^2*e^2)/2 + B*b*c*d*e*f))/(d^2*f^3*((e + f*x)^(1/2) - e^(1/2))^7) - (((c + d*x)^(1/2) - c^(1/2))^5*((11*B*b*c^2*f^2)/2 + (11*B*b*d^2*e^2)/2 + 25*B*b*c*d*e*f))/(d*f^4*((e + f*x)^(1/2) - e^(1/2))^5) + (c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^4*(32*B*b*c*f + 32*B*b*d*e))/(f^4*((e + f*x)^(1/2) - e^(1/2))^4))/(((c + d*x)^(1/2) - c^(1/2))^8/((e + f*x)^(1/2) - e^(1/2))^8 + d^4/f^4 - (4*d*((c + d*x)^(1/2) - c^(1/2))^6)/(f*((e + f*x)^(1/2) - e^(1/2))^6) - (4*d^3*((c + d*x)^(1/2) - c^(1/2))^2)/(f^3*((e + f*x)^(1/2) - e^(1/2))^2) + (6*d^2*((c + d*x)^(1/2) - c^(1/2))^4)/(f^2*((e + f*x)^(1/2) - e^(1/2))^4)) + ((((c + d*x)^(1/2) - c^(1/2))*(2*B*a*c*f + 2*B*a*d*e))/(f^3*((e + f*x)^(1/2) - e^(1/2))) + (((c + d*x)^(1/2) - c^(1/2))^3*(2*B*a*c*f + 2*B*a*d*e))/(d*f^2*((e + f*x)^(1/2) - e^(1/2))^3) - (8*B*a*c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)/(f^2*((e + f*x)^(1/2) - e^(1/2))^2))/(((c + d*x)^(1/2) - c^(1/2))^4/((e + f*x)^(1/2) - e^(1/2))^4 + d^2/f^2 - (2*d*((c + d*x)^(1/2) - c^(1/2))^2)/(f*((e + f*x)^(1/2) - e^(1/2))^2)) - (4*A*a*atan((d*((e + f*x)^(1/2) - e^(1/2)))/((-d*f)^(1/2)*((c + d*x)^(1/2) - c^(1/2)))))/(-d*f)^(1/2) + (B*b*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(3*c^2*f^2 + 3*d^2*e^2 + 2*c*d*e*f))/(2*d^(5/2)*f^(5/2)) + (C*a*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(3*c^2*f^2 + 3*d^2*e^2 + 2*c*d*e*f))/(2*d^(5/2)*f^(5/2)) - (2*A*b*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f + d*e))/(d^(3/2)*f^(3/2)) - (2*B*a*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f + d*e))/(d^(3/2)*f^(3/2)) - (C*b*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f + d*e)*(5*c^2*f^2 + 5*d^2*e^2 - 2*c*d*e*f))/(4*d^(7/2)*f^(7/2))","B"
56,1,833,164,25.887675,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(c + d*x)^(1/2)),x)","\frac{\frac{\left(2\,B\,c\,f+2\,B\,d\,e\right)\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{f^3\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}+\frac{\left(2\,B\,c\,f+2\,B\,d\,e\right)\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3}{d\,f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}-\frac{8\,B\,\sqrt{c}\,\sqrt{e}\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}+\frac{d^2}{f^2}-\frac{2\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}}-\frac{\frac{\left(\sqrt{c+d\,x}-\sqrt{c}\right)\,\left(\frac{3\,C\,c^2\,d\,f^2}{2}+C\,c\,d^2\,e\,f+\frac{3\,C\,d^3\,e^2}{2}\right)}{f^6\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^3\,\left(\frac{11\,C\,c^2\,f^2}{2}+25\,C\,c\,d\,e\,f+\frac{11\,C\,d^2\,e^2}{2}\right)}{f^5\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^3}+\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^7\,\left(\frac{3\,C\,c^2\,f^2}{2}+C\,c\,d\,e\,f+\frac{3\,C\,d^2\,e^2}{2}\right)}{d^2\,f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^7}-\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^5\,\left(\frac{11\,C\,c^2\,f^2}{2}+25\,C\,c\,d\,e\,f+\frac{11\,C\,d^2\,e^2}{2}\right)}{d\,f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^5}+\frac{\sqrt{c}\,\sqrt{e}\,\left(32\,C\,c\,f+32\,C\,d\,e\right)\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^4\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}{\frac{{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^8}{{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^8}+\frac{d^4}{f^4}-\frac{4\,d\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^6}{f\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^6}-\frac{4\,d^3\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^2}{f^3\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^2}+\frac{6\,d^2\,{\left(\sqrt{c+d\,x}-\sqrt{c}\right)}^4}{f^2\,{\left(\sqrt{e+f\,x}-\sqrt{e}\right)}^4}}-\frac{4\,A\,\mathrm{atan}\left(\frac{d\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}{\sqrt{-d\,f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}\right)}{\sqrt{-d\,f}}-\frac{2\,B\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(c\,f+d\,e\right)}{d^{3/2}\,f^{3/2}}+\frac{C\,\mathrm{atanh}\left(\frac{\sqrt{f}\,\left(\sqrt{c+d\,x}-\sqrt{c}\right)}{\sqrt{d}\,\left(\sqrt{e+f\,x}-\sqrt{e}\right)}\right)\,\left(3\,c^2\,f^2+2\,c\,d\,e\,f+3\,d^2\,e^2\right)}{2\,d^{5/2}\,f^{5/2}}","Not used",1,"(((2*B*c*f + 2*B*d*e)*((c + d*x)^(1/2) - c^(1/2)))/(f^3*((e + f*x)^(1/2) - e^(1/2))) + ((2*B*c*f + 2*B*d*e)*((c + d*x)^(1/2) - c^(1/2))^3)/(d*f^2*((e + f*x)^(1/2) - e^(1/2))^3) - (8*B*c^(1/2)*e^(1/2)*((c + d*x)^(1/2) - c^(1/2))^2)/(f^2*((e + f*x)^(1/2) - e^(1/2))^2))/(((c + d*x)^(1/2) - c^(1/2))^4/((e + f*x)^(1/2) - e^(1/2))^4 + d^2/f^2 - (2*d*((c + d*x)^(1/2) - c^(1/2))^2)/(f*((e + f*x)^(1/2) - e^(1/2))^2)) - ((((c + d*x)^(1/2) - c^(1/2))*((3*C*d^3*e^2)/2 + (3*C*c^2*d*f^2)/2 + C*c*d^2*e*f))/(f^6*((e + f*x)^(1/2) - e^(1/2))) - (((c + d*x)^(1/2) - c^(1/2))^3*((11*C*c^2*f^2)/2 + (11*C*d^2*e^2)/2 + 25*C*c*d*e*f))/(f^5*((e + f*x)^(1/2) - e^(1/2))^3) + (((c + d*x)^(1/2) - c^(1/2))^7*((3*C*c^2*f^2)/2 + (3*C*d^2*e^2)/2 + C*c*d*e*f))/(d^2*f^3*((e + f*x)^(1/2) - e^(1/2))^7) - (((c + d*x)^(1/2) - c^(1/2))^5*((11*C*c^2*f^2)/2 + (11*C*d^2*e^2)/2 + 25*C*c*d*e*f))/(d*f^4*((e + f*x)^(1/2) - e^(1/2))^5) + (c^(1/2)*e^(1/2)*(32*C*c*f + 32*C*d*e)*((c + d*x)^(1/2) - c^(1/2))^4)/(f^4*((e + f*x)^(1/2) - e^(1/2))^4))/(((c + d*x)^(1/2) - c^(1/2))^8/((e + f*x)^(1/2) - e^(1/2))^8 + d^4/f^4 - (4*d*((c + d*x)^(1/2) - c^(1/2))^6)/(f*((e + f*x)^(1/2) - e^(1/2))^6) - (4*d^3*((c + d*x)^(1/2) - c^(1/2))^2)/(f^3*((e + f*x)^(1/2) - e^(1/2))^2) + (6*d^2*((c + d*x)^(1/2) - c^(1/2))^4)/(f^2*((e + f*x)^(1/2) - e^(1/2))^4)) - (4*A*atan((d*((e + f*x)^(1/2) - e^(1/2)))/((-d*f)^(1/2)*((c + d*x)^(1/2) - c^(1/2)))))/(-d*f)^(1/2) - (2*B*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(c*f + d*e))/(d^(3/2)*f^(3/2)) + (C*atanh((f^(1/2)*((c + d*x)^(1/2) - c^(1/2)))/(d^(1/2)*((e + f*x)^(1/2) - e^(1/2))))*(3*c^2*f^2 + 3*d^2*e^2 + 2*c*d*e*f))/(2*d^(5/2)*f^(5/2))","B"
57,-1,-1,188,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
58,-1,-1,254,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^2*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
59,-1,-1,424,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^3*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
60,-1,-1,826,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^4*(c + d*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
61,0,-1,1182,0.000000,"\text{Not used}","int((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2),x)","\int \sqrt{e+f\,x}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2), x)","F"
62,0,-1,774,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(1/2),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{a+b\,x}} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(1/2), x)","F"
63,0,-1,706,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(3/2),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(3/2), x)","F"
64,0,-1,687,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(5/2),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(5/2), x)","F"
65,0,-1,964,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(7/2),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(7/2), x)","F"
66,0,-1,1716,0.000000,"\text{Not used}","int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(9/2),x)","\int \frac{\sqrt{e+f\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{{\left(a+b\,x\right)}^{9/2}} \,d x","Not used",1,"int(((e + f*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x)^(9/2), x)","F"
67,0,-1,1235,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2), x)","F"
68,0,-1,766,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2),x)","\int \frac{\sqrt{a+b\,x}\,\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(c + d*x)^(1/2)*(A + B*x + C*x^2))/(e + f*x)^(1/2), x)","F"
69,0,-1,527,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(1/2)),x)","\int \frac{\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,\sqrt{a+b\,x}} \,d x","Not used",1,"int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(1/2)), x)","F"
70,0,-1,540,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(3/2)),x)","\int \frac{\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(3/2)), x)","F"
71,0,-1,597,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(5/2)),x)","\int \frac{\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(5/2)), x)","F"
72,0,-1,1034,0.000000,"\text{Not used}","int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(7/2)),x)","\int \frac{\sqrt{c+d\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{7/2}} \,d x","Not used",1,"int(((c + d*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(a + b*x)^(7/2)), x)","F"
73,0,-1,838,0.000000,"\text{Not used}","int(((a + b*x)^(3/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{{\left(a+b\,x\right)}^{3/2}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(((a + b*x)^(3/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
74,0,-1,528,0.000000,"\text{Not used}","int(((a + b*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{\sqrt{a+b\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{e+f\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int(((a + b*x)^(1/2)*(A + B*x + C*x^2))/((e + f*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
75,0,-1,387,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{e+f\,x}\,\sqrt{a+b\,x}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(1/2)*(c + d*x)^(1/2)), x)","F"
76,0,-1,422,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{3/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(3/2)*(c + d*x)^(1/2)), x)","F"
77,0,-1,642,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(5/2)*(c + d*x)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{5/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(5/2)*(c + d*x)^(1/2)), x)","F"
78,0,-1,1116,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(7/2)*(c + d*x)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{e+f\,x}\,{\left(a+b\,x\right)}^{7/2}\,\sqrt{c+d\,x}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((e + f*x)^(1/2)*(a + b*x)^(7/2)*(c + d*x)^(1/2)), x)","F"