1,1,1195,212,5.377465,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{a\,c\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{b\,d}-\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{20\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{b\,d}+\frac{a\,g^3\,i\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+12\,A\,a\,b\,c\,d\right)}{d}\right)}{20\,b\,d}+\frac{a^2\,g^3\,i\,\left(2\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-3\,B\,b^2\,c^2+16\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\right)}{2\,b\,d}\right)+x^4\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{20}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{80}\right)-x^3\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{60\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\right)}{12\,d}+\frac{A\,a\,b^2\,c\,g^3\,i}{3}\right)+x^2\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{40\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{2\,b\,d}+\frac{a\,g^3\,i\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+12\,A\,a\,b\,c\,d\right)}{2\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,a^2\,g^3\,i\,x^2\,\left(a\,d+3\,b\,c\right)}{2}+\frac{B\,b^2\,g^3\,i\,x^4\,\left(3\,a\,d+b\,c\right)}{4}+B\,a^3\,c\,g^3\,i\,x+\frac{B\,b^3\,d\,g^3\,i\,x^5}{5}+B\,a\,b\,g^3\,i\,x^3\,\left(a\,d+b\,c\right)\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^5\,d\,g^3\,i-5\,B\,a^4\,b\,c\,g^3\,i\right)}{20\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(-10\,B\,i\,a^3\,c^2\,d^3\,g^3+10\,B\,i\,a^2\,b\,c^3\,d^2\,g^3-5\,B\,i\,a\,b^2\,c^4\,d\,g^3+B\,i\,b^3\,c^5\,g^3\right)}{20\,d^4}+\frac{A\,b^3\,d\,g^3\,i\,x^5}{5}","Not used",1,"x*((a*c*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d - 2*B*a*b*c*d))/(4*d) + A*a*b^2*c*g^3*i))/(b*d) - ((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d - 2*B*a*b*c*d))/(4*d) + A*a*b^2*c*g^3*i))/(20*b*d) - (a*c*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(b*d) + (a*g^3*i*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 12*A*a*b*c*d))/d))/(20*b*d) + (a^2*g^3*i*(2*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - 3*B*b^2*c^2 + 16*A*a*b*c*d + 2*B*a*b*c*d))/(2*b*d)) + x^4*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/20 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/80) - x^3*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(60*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d - 2*B*a*b*c*d))/(12*d) + (A*a*b^2*c*g^3*i)/3) + x^2*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d - 2*B*a*b*c*d))/(4*d) + A*a*b^2*c*g^3*i))/(40*b*d) - (a*c*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d - B*b*c))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(2*b*d) + (a*g^3*i*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 12*A*a*b*c*d))/(2*d)) + log((e*(a + b*x))/(c + d*x))*((B*a^2*g^3*i*x^2*(a*d + 3*b*c))/2 + (B*b^2*g^3*i*x^4*(3*a*d + b*c))/4 + B*a^3*c*g^3*i*x + (B*b^3*d*g^3*i*x^5)/5 + B*a*b*g^3*i*x^3*(a*d + b*c)) - (log(a + b*x)*(B*a^5*d*g^3*i - 5*B*a^4*b*c*g^3*i))/(20*b^2) + (log(c + d*x)*(B*b^3*c^5*g^3*i - 10*B*a^3*c^2*d^3*g^3*i - 5*B*a*b^2*c^4*d*g^3*i + 10*B*a^2*b*c^3*d^2*g^3*i))/(20*d^4) + (A*b^3*d*g^3*i*x^5)/5","B"
2,1,638,180,5.113117,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^3\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{12}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{36}\right)-x^2\,\left(\frac{\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{24\,b\,d}-\frac{g^2\,i\,\left(9\,A\,a^2\,d^2+3\,A\,b^2\,c^2+2\,B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{6\,d}+\frac{A\,a\,b\,c\,g^2\,i}{2}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a^2\,c\,g^2\,i\,x+\frac{B\,a\,g^2\,i\,x^2\,\left(a\,d+2\,b\,c\right)}{2}+\frac{B\,b\,g^2\,i\,x^3\,\left(2\,a\,d+b\,c\right)}{3}+\frac{B\,b^2\,d\,g^2\,i\,x^4}{4}\right)+x\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{12\,b\,d}-\frac{g^2\,i\,\left(9\,A\,a^2\,d^2+3\,A\,b^2\,c^2+2\,B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{3\,d}+A\,a\,b\,c\,g^2\,i\right)}{12\,b\,d}-\frac{a\,c\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{b\,d}+\frac{a\,g^2\,i\,\left(2\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2-2\,B\,b^2\,c^2+12\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{2\,b\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(6\,B\,i\,a^2\,c^2\,d^2\,g^2-4\,B\,i\,a\,b\,c^3\,d\,g^2+B\,i\,b^2\,c^4\,g^2\right)}{12\,d^3}-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,d\,g^2\,i-4\,B\,a^3\,b\,c\,g^2\,i\right)}{12\,b^2}+\frac{A\,b^2\,d\,g^2\,i\,x^4}{4}","Not used",1,"x^3*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d - B*b*c))/12 - (A*b*g^2*i*(12*a*d + 12*b*c))/36) - x^2*((((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d - B*b*c))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(24*b*d) - (g^2*i*(9*A*a^2*d^2 + 3*A*b^2*c^2 + 2*B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d - B*a*b*c*d))/(6*d) + (A*a*b*c*g^2*i)/2) + log((e*(a + b*x))/(c + d*x))*(B*a^2*c*g^2*i*x + (B*a*g^2*i*x^2*(a*d + 2*b*c))/2 + (B*b*g^2*i*x^3*(2*a*d + b*c))/3 + (B*b^2*d*g^2*i*x^4)/4) + x*(((12*a*d + 12*b*c)*((((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d - B*b*c))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(12*b*d) - (g^2*i*(9*A*a^2*d^2 + 3*A*b^2*c^2 + 2*B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d - B*a*b*c*d))/(3*d) + A*a*b*c*g^2*i))/(12*b*d) - (a*c*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d - B*b*c))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12))/(b*d) + (a*g^2*i*(2*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2 - 2*B*b^2*c^2 + 12*A*a*b*c*d + B*a*b*c*d))/(2*b*d)) - (log(c + d*x)*(B*b^2*c^4*g^2*i + 6*B*a^2*c^2*d^2*g^2*i - 4*B*a*b*c^3*d*g^2*i))/(12*d^3) - (log(a + b*x)*(B*a^4*d*g^2*i - 4*B*a^3*b*c*g^2*i))/(12*b^2) + (A*b^2*d*g^2*i*x^4)/4","B"
3,1,282,140,4.714411,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^2\,\left(\frac{g\,i\,\left(6\,A\,a\,d+6\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,g\,i\,\left(6\,a\,d+6\,b\,c\right)}{12}\right)-x\,\left(\frac{\left(\frac{g\,i\,\left(6\,A\,a\,d+6\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{3}-\frac{A\,g\,i\,\left(6\,a\,d+6\,b\,c\right)}{6}\right)\,\left(6\,a\,d+6\,b\,c\right)}{6\,b\,d}+A\,a\,c\,g\,i-\frac{g\,i\,\left(2\,A\,a^2\,d^2+2\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+8\,A\,a\,b\,c\,d\right)}{2\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,b\,d\,g\,i\,x^3}{3}+\frac{B\,g\,i\,\left(a\,d+b\,c\right)\,x^2}{2}+B\,a\,c\,g\,i\,x\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^3\,d\,g\,i-3\,B\,a^2\,b\,c\,g\,i\right)}{6\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^3\,g\,i-3\,B\,a\,c^2\,d\,g\,i\right)}{6\,d^2}+\frac{A\,b\,d\,g\,i\,x^3}{3}","Not used",1,"x^2*((g*i*(6*A*a*d + 6*A*b*c + B*a*d - B*b*c))/6 - (A*g*i*(6*a*d + 6*b*c))/12) - x*((((g*i*(6*A*a*d + 6*A*b*c + B*a*d - B*b*c))/3 - (A*g*i*(6*a*d + 6*b*c))/6)*(6*a*d + 6*b*c))/(6*b*d) + A*a*c*g*i - (g*i*(2*A*a^2*d^2 + 2*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 8*A*a*b*c*d))/(2*b*d)) + log((e*(a + b*x))/(c + d*x))*((B*g*i*x^2*(a*d + b*c))/2 + (B*b*d*g*i*x^3)/3 + B*a*c*g*i*x) - (log(a + b*x)*(B*a^3*d*g*i - 3*B*a^2*b*c*g*i))/(6*b^2) + (log(c + d*x)*(B*b*c^3*g*i - 3*B*a*c^2*d*g*i))/(6*d^2) + (A*b*d*g*i*x^3)/3","B"
4,1,126,81,4.639223,"\text{Not used}","int((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{i\,\left(2\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,b}-\frac{A\,i\,\left(2\,a\,d+2\,b\,c\right)}{2\,b}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,d\,i\,x^2}{2}+B\,c\,i\,x\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,d\,i-2\,B\,a\,b\,c\,i\right)}{2\,b^2}+\frac{A\,d\,i\,x^2}{2}-\frac{B\,c^2\,i\,\ln\left(c+d\,x\right)}{2\,d}","Not used",1,"x*((i*(2*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(2*b) - (A*i*(2*a*d + 2*b*c))/(2*b)) + log((e*(a + b*x))/(c + d*x))*((B*d*i*x^2)/2 + B*c*i*x) - (log(a + b*x)*(B*a^2*d*i - 2*B*a*b*c*i))/(2*b^2) + (A*d*i*x^2)/2 - (B*c^2*i*log(c + d*x))/(2*d)","B"
5,0,-1,133,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x),x)","\int \frac{\left(c\,i+d\,i\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x), x)","F"
6,0,-1,142,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2,x)","\int \frac{\left(c\,i+d\,i\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2, x)","F"
7,1,197,85,5.576405,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^3,x)","-\frac{x\,\left(2\,A\,b\,d\,i+B\,b\,d\,i\right)+A\,a\,d\,i+A\,b\,c\,i+\frac{B\,a\,d\,i}{2}+\frac{B\,b\,c\,i}{2}}{2\,a^2\,b^2\,g^3+4\,a\,b^3\,g^3\,x+2\,b^4\,g^3\,x^2}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,c\,i}{2\,b^2\,g^3}+\frac{B\,a\,d\,i}{2\,b^3\,g^3}+\frac{B\,d\,i\,x}{b^2\,g^3}\right)}{2\,a\,x+b\,x^2+\frac{a^2}{b}}-\frac{B\,d^2\,i\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b^2\,g^3\,\left(a\,d-b\,c\right)}","Not used",1,"- (x*(2*A*b*d*i + B*b*d*i) + A*a*d*i + A*b*c*i + (B*a*d*i)/2 + (B*b*c*i)/2)/(2*a^2*b^2*g^3 + 2*b^4*g^3*x^2 + 4*a*b^3*g^3*x) - (log((e*(a + b*x))/(c + d*x))*((B*c*i)/(2*b^2*g^3) + (B*a*d*i)/(2*b^3*g^3) + (B*d*i*x)/(b^2*g^3)))/(2*a*x + b*x^2 + a^2/b) - (B*d^2*i*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*1i)/(b^2*g^3*(a*d - b*c))","B"
8,1,361,173,5.866125,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^4,x)","-\frac{\frac{6\,A\,a^2\,d^2\,i-12\,A\,b^2\,c^2\,i+5\,B\,a^2\,d^2\,i-4\,B\,b^2\,c^2\,i+6\,A\,a\,b\,c\,d\,i+5\,B\,a\,b\,c\,d\,i}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(6\,A\,a\,b\,d^2\,i+5\,B\,a\,b\,d^2\,i-6\,A\,b^2\,c\,d\,i-B\,b^2\,c\,d\,i\right)}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b^2\,d^2\,i\,x^2}{a\,d-b\,c}}{6\,a^3\,b^2\,g^4+18\,a^2\,b^3\,g^4\,x+18\,a\,b^4\,g^4\,x^2+6\,b^5\,g^4\,x^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,c\,i}{3\,b^2\,g^4}+\frac{B\,a\,d\,i}{6\,b^3\,g^4}+\frac{B\,d\,i\,x}{2\,b^2\,g^4}\right)}{3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2}-\frac{B\,d^3\,i\,\mathrm{atanh}\left(\frac{6\,b^4\,c^2\,g^4-6\,a^2\,b^2\,d^2\,g^4}{6\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{3\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((6*A*a^2*d^2*i - 12*A*b^2*c^2*i + 5*B*a^2*d^2*i - 4*B*b^2*c^2*i + 6*A*a*b*c*d*i + 5*B*a*b*c*d*i)/(6*(a*d - b*c)) + (x*(6*A*a*b*d^2*i + 5*B*a*b*d^2*i - 6*A*b^2*c*d*i - B*b^2*c*d*i))/(2*(a*d - b*c)) + (B*b^2*d^2*i*x^2)/(a*d - b*c))/(6*a^3*b^2*g^4 + 6*b^5*g^4*x^3 + 18*a^2*b^3*g^4*x + 18*a*b^4*g^4*x^2) - (log((e*(a + b*x))/(c + d*x))*((B*c*i)/(3*b^2*g^4) + (B*a*d*i)/(6*b^3*g^4) + (B*d*i*x)/(2*b^2*g^4)))/(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2) - (B*d^3*i*atanh((6*b^4*c^2*g^4 - 6*a^2*b^2*d^2*g^4)/(6*b^2*g^4*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(3*b^2*g^4*(a*d - b*c)^2)","B"
9,1,590,269,6.458061,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^5,x)","\frac{B\,d^4\,i\,\mathrm{atanh}\left(\frac{12\,a^3\,b^2\,d^3\,g^5-12\,a^2\,b^3\,c\,d^2\,g^5-12\,a\,b^4\,c^2\,d\,g^5+12\,b^5\,c^3\,g^5}{12\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{6\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,c\,i}{4\,b^2\,g^5}+\frac{B\,a\,d\,i}{12\,b^3\,g^5}+\frac{B\,d\,i\,x}{3\,b^2\,g^5}\right)}{4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3}-\frac{\frac{12\,A\,a^3\,d^3\,i+36\,A\,b^3\,c^3\,i+13\,B\,a^3\,d^3\,i+9\,B\,b^3\,c^3\,i-60\,A\,a\,b^2\,c^2\,d\,i+12\,A\,a^2\,b\,c\,d^2\,i-23\,B\,a\,b^2\,c^2\,d\,i+13\,B\,a^2\,b\,c\,d^2\,i}{12\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(12\,A\,a^2\,b\,d^3\,i+13\,B\,a^2\,b\,d^3\,i+12\,A\,b^3\,c^2\,d\,i+B\,b^3\,c^2\,d\,i-24\,A\,a\,b^2\,c\,d^2\,i-5\,B\,a\,b^2\,c\,d^2\,i\right)}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{d\,x^2\,\left(B\,b^3\,c\,d\,i-7\,B\,a\,b^2\,d^2\,i\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,b^3\,d^3\,i\,x^3}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{12\,a^4\,b^2\,g^5+48\,a^3\,b^3\,g^5\,x+72\,a^2\,b^4\,g^5\,x^2+48\,a\,b^5\,g^5\,x^3+12\,b^6\,g^5\,x^4}","Not used",1,"(B*d^4*i*atanh((12*b^5*c^3*g^5 + 12*a^3*b^2*d^3*g^5 - 12*a*b^4*c^2*d*g^5 - 12*a^2*b^3*c*d^2*g^5)/(12*b^2*g^5*(a*d - b*c)^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(6*b^2*g^5*(a*d - b*c)^3) - (log((e*(a + b*x))/(c + d*x))*((B*c*i)/(4*b^2*g^5) + (B*a*d*i)/(12*b^3*g^5) + (B*d*i*x)/(3*b^2*g^5)))/(4*a^3*x + a^4/b + b^3*x^4 + 6*a^2*b*x^2 + 4*a*b^2*x^3) - ((12*A*a^3*d^3*i + 36*A*b^3*c^3*i + 13*B*a^3*d^3*i + 9*B*b^3*c^3*i - 60*A*a*b^2*c^2*d*i + 12*A*a^2*b*c*d^2*i - 23*B*a*b^2*c^2*d*i + 13*B*a^2*b*c*d^2*i)/(12*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(12*A*a^2*b*d^3*i + 13*B*a^2*b*d^3*i + 12*A*b^3*c^2*d*i + B*b^3*c^2*d*i - 24*A*a*b^2*c*d^2*i - 5*B*a*b^2*c*d^2*i))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (d*x^2*(B*b^3*c*d*i - 7*B*a*b^2*d^2*i))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^3*d^3*i*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(12*a^4*b^2*g^5 + 12*b^6*g^5*x^4 + 48*a^3*b^3*g^5*x + 48*a*b^5*g^5*x^3 + 72*a^2*b^4*g^5*x^2)","B"
10,1,2473,423,5.887488,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^3\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{12\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{180\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{3\,b\,d}\right)-x^4\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{240\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{20}+\frac{A\,a\,b^2\,c\,d\,g^3\,i^2}{4}\right)+x^2\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{2\,b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{120\,b\,d}+\frac{a\,g^3\,i^2\,\left(3\,A\,a^3\,d^3+12\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+54\,A\,a\,b^2\,c^2\,d+36\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{6\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a^3\,c^2\,g^3\,i^2\,x+\frac{B\,a\,g^3\,i^2\,x^3\,\left(a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{3}+\frac{B\,b\,g^3\,i^2\,x^4\,\left(3\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{4}+\frac{B\,b^3\,d^2\,g^3\,i^2\,x^6}{6}+\frac{B\,a^2\,c\,g^3\,i^2\,x^2\,\left(2\,a\,d+3\,b\,c\right)}{2}+\frac{B\,b^2\,d\,g^3\,i^2\,x^5\,\left(3\,a\,d+2\,b\,c\right)}{5}\right)+x^5\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{30}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{300}\right)-x\,\left(\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{60\,b\,d}+\frac{a\,g^3\,i^2\,\left(3\,A\,a^3\,d^3+12\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+54\,A\,a\,b^2\,c^2\,d+36\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{3\,b\,d}\right)}{60\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{b\,d}-\frac{a^2\,c\,g^3\,i^2\,\left(6\,A\,a^2\,d^2+12\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+24\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{2\,b\,d}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^6\,d^2\,g^3\,i^2-6\,B\,a^5\,b\,c\,d\,g^3\,i^2+15\,B\,a^4\,b^2\,c^2\,g^3\,i^2\right)}{60\,b^3}+\frac{\ln\left(c+d\,x\right)\,\left(-20\,B\,a^3\,c^3\,d^3\,g^3\,i^2+15\,B\,a^2\,b\,c^4\,d^2\,g^3\,i^2-6\,B\,a\,b^2\,c^5\,d\,g^3\,i^2+B\,b^3\,c^6\,g^3\,i^2\right)}{60\,d^4}+\frac{A\,b^3\,d^2\,g^3\,i^2\,x^6}{6}","Not used",1,"x^3*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(12*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(180*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(3*b*d)) - x^4*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(240*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/20 + (A*a*b^2*c*d*g^3*i^2)/4) + x^2*((a*c*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(2*b*d) - ((60*a*d + 60*b*c)*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(120*b*d) + (a*g^3*i^2*(3*A*a^3*d^3 + 12*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 54*A*a*b^2*c^2*d + 36*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(6*b*d)) + log((e*(a + b*x))/(c + d*x))*(B*a^3*c^2*g^3*i^2*x + (B*a*g^3*i^2*x^3*(a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/3 + (B*b*g^3*i^2*x^4*(3*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/4 + (B*b^3*d^2*g^3*i^2*x^6)/6 + (B*a^2*c*g^3*i^2*x^2*(2*a*d + 3*b*c))/2 + (B*b^2*d*g^3*i^2*x^5*(3*a*d + 2*b*c))/5) + x^5*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/30 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/300) - x*(((60*a*d + 60*b*c)*((a*c*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(b*d) - ((60*a*d + 60*b*c)*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(60*b*d) + (a*g^3*i^2*(3*A*a^3*d^3 + 12*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 54*A*a*b^2*c^2*d + 36*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(3*b*d)))/(60*b*d) + (a*c*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 60*A*a*b*c*d - B*a*b*c*d))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d - B*b*c))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(b*d) - (a^2*c*g^3*i^2*(6*A*a^2*d^2 + 12*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 24*A*a*b*c*d + B*a*b*c*d))/(2*b*d)) + (log(a + b*x)*(B*a^6*d^2*g^3*i^2 + 15*B*a^4*b^2*c^2*g^3*i^2 - 6*B*a^5*b*c*d*g^3*i^2))/(60*b^3) + (log(c + d*x)*(B*b^3*c^6*g^3*i^2 - 20*B*a^3*c^3*d^3*g^3*i^2 - 6*B*a*b^2*c^5*d*g^3*i^2 + 15*B*a^2*b*c^4*d^2*g^3*i^2))/(60*d^4) + (A*b^3*d^2*g^3*i^2*x^6)/6","B"
11,1,1287,337,5.342111,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,g^2\,i^2\,x^3\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{3}+B\,a^2\,c^2\,g^2\,i^2\,x+\frac{B\,b^2\,d^2\,g^2\,i^2\,x^5}{5}+B\,a\,c\,g^2\,i^2\,x^2\,\left(a\,d+b\,c\right)+\frac{B\,b\,d\,g^2\,i^2\,x^4\,\left(a\,d+b\,c\right)}{2}\right)-x^3\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{90\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d\right)}{6}+\frac{A\,a\,b\,c\,d\,g^2\,i^2}{3}\right)+x\,\left(\frac{a\,c\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{b\,d}-\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{30\,b\,d}+\frac{g^2\,i^2\,\left(3\,A\,a^3\,d^3+3\,A\,b^3\,c^3+B\,a^3\,d^3-B\,b^3\,c^3+27\,A\,a\,b^2\,c^2\,d+27\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{3\,b\,d}-\frac{a\,c\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{b\,d}\right)}{30\,b\,d}+\frac{a\,c\,g^2\,i^2\,\left(3\,A\,a^2\,d^2+3\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+9\,A\,a\,b\,c\,d\right)}{b\,d}\right)+x^2\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{60\,b\,d}+\frac{g^2\,i^2\,\left(3\,A\,a^3\,d^3+3\,A\,b^3\,c^3+B\,a^3\,d^3-B\,b^3\,c^3+27\,A\,a\,b^2\,c^2\,d+27\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{6\,b\,d}-\frac{a\,c\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{2\,b\,d}\right)+x^4\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{20}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{120}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^5\,d^2\,g^2\,i^2-5\,B\,a^4\,b\,c\,d\,g^2\,i^2+10\,B\,a^3\,b^2\,c^2\,g^2\,i^2\right)}{30\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(10\,B\,a^2\,c^3\,d^2\,g^2\,i^2-5\,B\,a\,b\,c^4\,d\,g^2\,i^2+B\,b^2\,c^5\,g^2\,i^2\right)}{30\,d^3}+\frac{A\,b^2\,d^2\,g^2\,i^2\,x^5}{5}","Not used",1,"log((e*(a + b*x))/(c + d*x))*((B*g^2*i^2*x^3*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/3 + B*a^2*c^2*g^2*i^2*x + (B*b^2*d^2*g^2*i^2*x^5)/5 + B*a*c*g^2*i^2*x^2*(a*d + b*c) + (B*b*d*g^2*i^2*x^4*(a*d + b*c))/2) - x^3*(((30*a*d + 30*b*c)*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(90*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d))/6 + (A*a*b*c*d*g^2*i^2)/3) + x*((a*c*(((30*a*d + 30*b*c)*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(b*d) - ((30*a*d + 30*b*c)*(((30*a*d + 30*b*c)*(((30*a*d + 30*b*c)*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(30*b*d) + (g^2*i^2*(3*A*a^3*d^3 + 3*A*b^3*c^3 + B*a^3*d^3 - B*b^3*c^3 + 27*A*a*b^2*c^2*d + 27*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(3*b*d) - (a*c*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(b*d)))/(30*b*d) + (a*c*g^2*i^2*(3*A*a^2*d^2 + 3*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 9*A*a*b*c*d))/(b*d)) + x^2*(((30*a*d + 30*b*c)*(((30*a*d + 30*b*c)*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(60*b*d) + (g^2*i^2*(3*A*a^3*d^3 + 3*A*b^3*c^3 + B*a^3*d^3 - B*b^3*c^3 + 27*A*a*b^2*c^2*d + 27*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(6*b*d) - (a*c*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(2*b*d)) + x^4*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d - B*b*c))/20 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/120) + (log(a + b*x)*(B*a^5*d^2*g^2*i^2 + 10*B*a^3*b^2*c^2*g^2*i^2 - 5*B*a^4*b*c*d*g^2*i^2))/(30*b^3) - (log(c + d*x)*(B*b^2*c^5*g^2*i^2 + 10*B*a^2*c^3*d^2*g^2*i^2 - 5*B*a*b*c^4*d*g^2*i^2))/(30*d^3) + (A*b^2*d^2*g^2*i^2*x^5)/5","B"
12,1,636,239,5.004856,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^3\,\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{12}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{36}\right)-x^2\,\left(\frac{\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{24\,b\,d}-\frac{g\,i^2\,\left(3\,A\,a^2\,d^2+9\,A\,b^2\,c^2+B\,a^2\,d^2-2\,B\,b^2\,c^2+18\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{6\,b}+\frac{A\,a\,c\,d\,g\,i^2}{2}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a\,c^2\,g\,i^2\,x+\frac{B\,c\,g\,i^2\,x^2\,\left(2\,a\,d+b\,c\right)}{2}+\frac{B\,d\,g\,i^2\,x^3\,\left(a\,d+2\,b\,c\right)}{3}+\frac{B\,b\,d^2\,g\,i^2\,x^4}{4}\right)+x\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{12\,b\,d}-\frac{g\,i^2\,\left(3\,A\,a^2\,d^2+9\,A\,b^2\,c^2+B\,a^2\,d^2-2\,B\,b^2\,c^2+18\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{3\,b}+A\,a\,c\,d\,g\,i^2\right)}{12\,b\,d}-\frac{a\,c\,\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{b\,d}+\frac{c\,g\,i^2\,\left(6\,A\,a^2\,d^2+2\,A\,b^2\,c^2+2\,B\,a^2\,d^2-B\,b^2\,c^2+12\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{2\,b\,d}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,g\,a^4\,d^2\,i^2-4\,B\,g\,a^3\,b\,c\,d\,i^2+6\,B\,g\,a^2\,b^2\,c^2\,i^2\right)}{12\,b^3}+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^4\,g\,i^2-4\,B\,a\,c^3\,d\,g\,i^2\right)}{12\,d^2}+\frac{A\,b\,d^2\,g\,i^2\,x^4}{4}","Not used",1,"x^3*((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d - B*b*c))/12 - (A*d*g*i^2*(12*a*d + 12*b*c))/36) - x^2*((((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d - B*b*c))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(24*b*d) - (g*i^2*(3*A*a^2*d^2 + 9*A*b^2*c^2 + B*a^2*d^2 - 2*B*b^2*c^2 + 18*A*a*b*c*d + B*a*b*c*d))/(6*b) + (A*a*c*d*g*i^2)/2) + log((e*(a + b*x))/(c + d*x))*(B*a*c^2*g*i^2*x + (B*c*g*i^2*x^2*(2*a*d + b*c))/2 + (B*d*g*i^2*x^3*(a*d + 2*b*c))/3 + (B*b*d^2*g*i^2*x^4)/4) + x*(((12*a*d + 12*b*c)*((((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d - B*b*c))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(12*b*d) - (g*i^2*(3*A*a^2*d^2 + 9*A*b^2*c^2 + B*a^2*d^2 - 2*B*b^2*c^2 + 18*A*a*b*c*d + B*a*b*c*d))/(3*b) + A*a*c*d*g*i^2))/(12*b*d) - (a*c*((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d - B*b*c))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12))/(b*d) + (c*g*i^2*(6*A*a^2*d^2 + 2*A*b^2*c^2 + 2*B*a^2*d^2 - B*b^2*c^2 + 12*A*a*b*c*d - B*a*b*c*d))/(2*b*d)) + (log(a + b*x)*(B*a^4*d^2*g*i^2 + 6*B*a^2*b^2*c^2*g*i^2 - 4*B*a^3*b*c*d*g*i^2))/(12*b^3) + (log(c + d*x)*(B*b*c^4*g*i^2 - 4*B*a*c^3*d*g*i^2))/(12*d^2) + (A*b*d^2*g*i^2*x^4)/4","B"
13,1,290,118,4.585530,"\text{Not used}","int((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^2\,\left(\frac{d\,i^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6\,b}-\frac{A\,d\,i^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{d\,i^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{3\,b}-\frac{A\,d\,i^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b}\right)}{3\,b\,d}-\frac{c\,i^2\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{b}+\frac{A\,a\,c\,d\,i^2}{b}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,c^2\,i^2\,x+B\,c\,d\,i^2\,x^2+\frac{B\,d^2\,i^2\,x^3}{3}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^3\,d^2\,i^2-3\,B\,a^2\,b\,c\,d\,i^2+3\,B\,a\,b^2\,c^2\,i^2\right)}{3\,b^3}+\frac{A\,d^2\,i^2\,x^3}{3}-\frac{B\,c^3\,i^2\,\ln\left(c+d\,x\right)}{3\,d}","Not used",1,"x^2*((d*i^2*(3*A*a*d + 9*A*b*c + B*a*d - B*b*c))/(6*b) - (A*d*i^2*(3*a*d + 3*b*c))/(6*b)) - x*(((3*a*d + 3*b*c)*((d*i^2*(3*A*a*d + 9*A*b*c + B*a*d - B*b*c))/(3*b) - (A*d*i^2*(3*a*d + 3*b*c))/(3*b)))/(3*b*d) - (c*i^2*(3*A*a*d + 3*A*b*c + B*a*d - B*b*c))/b + (A*a*c*d*i^2)/b) + log((e*(a + b*x))/(c + d*x))*((B*d^2*i^2*x^3)/3 + B*c^2*i^2*x + B*c*d*i^2*x^2) + (log(a + b*x)*(B*a^3*d^2*i^2 + 3*B*a*b^2*c^2*i^2 - 3*B*a^2*b*c*d*i^2))/(3*b^3) + (A*d^2*i^2*x^3)/3 - (B*c^3*i^2*log(c + d*x))/(3*d)","B"
14,0,-1,276,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x), x)","F"
15,0,-1,247,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2, x)","F"
16,0,-1,230,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^3, x)","F"
17,1,423,89,6.186934,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^4,x)","-\frac{x^2\,\left(3\,A\,b^2\,d^2\,i^2+B\,b^2\,d^2\,i^2\right)+x\,\left(3\,A\,a\,b\,d^2\,i^2+B\,a\,b\,d^2\,i^2+3\,A\,b^2\,c\,d\,i^2+B\,b^2\,c\,d\,i^2\right)+A\,a^2\,d^2\,i^2+A\,b^2\,c^2\,i^2+\frac{B\,a^2\,d^2\,i^2}{3}+\frac{B\,b^2\,c^2\,i^2}{3}+A\,a\,b\,c\,d\,i^2+\frac{B\,a\,b\,c\,d\,i^2}{3}}{3\,a^3\,b^3\,g^4+9\,a^2\,b^4\,g^4\,x+9\,a\,b^5\,g^4\,x^2+3\,b^6\,g^4\,x^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{3\,b^4\,g^4}+\frac{B\,c\,d\,i^2}{3\,b^3\,g^4}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{3\,b^4\,g^4}+\frac{B\,c\,d\,i^2}{3\,b^3\,g^4}\right)+\frac{2\,B\,a\,d^2\,i^2}{3\,b^3\,g^4}+\frac{2\,B\,c\,d\,i^2}{3\,b^2\,g^4}\right)+\frac{B\,c^2\,i^2}{3\,b^2\,g^4}+\frac{B\,d^2\,i^2\,x^2}{b^2\,g^4}\right)}{3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2}-\frac{B\,d^3\,i^2\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}","Not used",1,"- (x^2*(3*A*b^2*d^2*i^2 + B*b^2*d^2*i^2) + x*(3*A*a*b*d^2*i^2 + B*a*b*d^2*i^2 + 3*A*b^2*c*d*i^2 + B*b^2*c*d*i^2) + A*a^2*d^2*i^2 + A*b^2*c^2*i^2 + (B*a^2*d^2*i^2)/3 + (B*b^2*c^2*i^2)/3 + A*a*b*c*d*i^2 + (B*a*b*c*d*i^2)/3)/(3*a^3*b^3*g^4 + 3*b^6*g^4*x^3 + 9*a^2*b^4*g^4*x + 9*a*b^5*g^4*x^2) - (log((e*(a + b*x))/(c + d*x))*(a*((B*a*d^2*i^2)/(3*b^4*g^4) + (B*c*d*i^2)/(3*b^3*g^4)) + x*(b*((B*a*d^2*i^2)/(3*b^4*g^4) + (B*c*d*i^2)/(3*b^3*g^4)) + (2*B*a*d^2*i^2)/(3*b^3*g^4) + (2*B*c*d*i^2)/(3*b^2*g^4)) + (B*c^2*i^2)/(3*b^2*g^4) + (B*d^2*i^2*x^2)/(b^2*g^4)))/(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2) - (B*d^3*i^2*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(3*b^3*g^4*(a*d - b*c))","B"
18,1,647,181,6.858780,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^5,x)","-\frac{\frac{12\,A\,a^3\,d^3\,i^2-36\,A\,b^3\,c^3\,i^2+7\,B\,a^3\,d^3\,i^2-9\,B\,b^3\,c^3\,i^2+12\,A\,a\,b^2\,c^2\,d\,i^2+12\,A\,a^2\,b\,c\,d^2\,i^2+7\,B\,a\,b^2\,c^2\,d\,i^2+7\,B\,a^2\,b\,c\,d^2\,i^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(12\,A\,a\,b^2\,d^3\,i^2+7\,B\,a\,b^2\,d^3\,i^2-12\,A\,b^3\,c\,d^2\,i^2-B\,b^3\,c\,d^2\,i^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(12\,A\,a^2\,b\,d^3\,i^2+7\,B\,a^2\,b\,d^3\,i^2-24\,A\,b^3\,c^2\,d\,i^2-5\,B\,b^3\,c^2\,d\,i^2+12\,A\,a\,b^2\,c\,d^2\,i^2+7\,B\,a\,b^2\,c\,d^2\,i^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{B\,b^3\,d^3\,i^2\,x^3}{a\,d-b\,c}}{12\,a^4\,b^3\,g^5+48\,a^3\,b^4\,g^5\,x+72\,a^2\,b^5\,g^5\,x^2+48\,a\,b^6\,g^5\,x^3+12\,b^7\,g^5\,x^4}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{12\,b^4\,g^5}+\frac{B\,c\,d\,i^2}{6\,b^3\,g^5}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{12\,b^4\,g^5}+\frac{B\,c\,d\,i^2}{6\,b^3\,g^5}\right)+\frac{B\,a\,d^2\,i^2}{4\,b^3\,g^5}+\frac{B\,c\,d\,i^2}{2\,b^2\,g^5}\right)+\frac{B\,c^2\,i^2}{4\,b^2\,g^5}+\frac{B\,d^2\,i^2\,x^2}{2\,b^2\,g^5}\right)}{4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3}-\frac{B\,d^4\,i^2\,\mathrm{atanh}\left(\frac{12\,b^5\,c^2\,g^5-12\,a^2\,b^3\,d^2\,g^5}{12\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{6\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((12*A*a^3*d^3*i^2 - 36*A*b^3*c^3*i^2 + 7*B*a^3*d^3*i^2 - 9*B*b^3*c^3*i^2 + 12*A*a*b^2*c^2*d*i^2 + 12*A*a^2*b*c*d^2*i^2 + 7*B*a*b^2*c^2*d*i^2 + 7*B*a^2*b*c*d^2*i^2)/(12*(a*d - b*c)) + (x^2*(12*A*a*b^2*d^3*i^2 + 7*B*a*b^2*d^3*i^2 - 12*A*b^3*c*d^2*i^2 - B*b^3*c*d^2*i^2))/(2*(a*d - b*c)) + (x*(12*A*a^2*b*d^3*i^2 + 7*B*a^2*b*d^3*i^2 - 24*A*b^3*c^2*d*i^2 - 5*B*b^3*c^2*d*i^2 + 12*A*a*b^2*c*d^2*i^2 + 7*B*a*b^2*c*d^2*i^2))/(3*(a*d - b*c)) + (B*b^3*d^3*i^2*x^3)/(a*d - b*c))/(12*a^4*b^3*g^5 + 12*b^7*g^5*x^4 + 48*a^3*b^4*g^5*x + 48*a*b^6*g^5*x^3 + 72*a^2*b^5*g^5*x^2) - (log((e*(a + b*x))/(c + d*x))*(a*((B*a*d^2*i^2)/(12*b^4*g^5) + (B*c*d*i^2)/(6*b^3*g^5)) + x*(b*((B*a*d^2*i^2)/(12*b^4*g^5) + (B*c*d*i^2)/(6*b^3*g^5)) + (B*a*d^2*i^2)/(4*b^3*g^5) + (B*c*d*i^2)/(2*b^2*g^5)) + (B*c^2*i^2)/(4*b^2*g^5) + (B*d^2*i^2*x^2)/(2*b^2*g^5)))/(4*a^3*x + a^4/b + b^3*x^4 + 6*a^2*b*x^2 + 4*a*b^2*x^3) - (B*d^4*i^2*atanh((12*b^5*c^2*g^5 - 12*a^2*b^3*d^2*g^5)/(12*b^3*g^5*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(6*b^3*g^5*(a*d - b*c)^2)","B"
19,1,941,281,7.993477,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^6,x)","\frac{B\,d^5\,i^2\,\mathrm{atanh}\left(\frac{30\,a^3\,b^3\,d^3\,g^6-30\,a^2\,b^4\,c\,d^2\,g^6-30\,a\,b^5\,c^2\,d\,g^6+30\,b^6\,c^3\,g^6}{30\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{15\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{30\,b^4\,g^6}+\frac{B\,c\,d\,i^2}{10\,b^3\,g^6}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{30\,b^4\,g^6}+\frac{B\,c\,d\,i^2}{10\,b^3\,g^6}\right)+\frac{2\,B\,a\,d^2\,i^2}{15\,b^3\,g^6}+\frac{2\,B\,c\,d\,i^2}{5\,b^2\,g^6}\right)+\frac{B\,c^2\,i^2}{5\,b^2\,g^6}+\frac{B\,d^2\,i^2\,x^2}{3\,b^2\,g^6}\right)}{5\,a^4\,x+\frac{a^5}{b}+b^4\,x^5+10\,a^3\,b\,x^2+5\,a\,b^3\,x^4+10\,a^2\,b^2\,x^3}-\frac{\frac{60\,A\,a^4\,d^4\,i^2+360\,A\,b^4\,c^4\,i^2+47\,B\,a^4\,d^4\,i^2+72\,B\,b^4\,c^4\,i^2+60\,A\,a^2\,b^2\,c^2\,d^2\,i^2+47\,B\,a^2\,b^2\,c^2\,d^2\,i^2-540\,A\,a\,b^3\,c^3\,d\,i^2+60\,A\,a^3\,b\,c\,d^3\,i^2-153\,B\,a\,b^3\,c^3\,d\,i^2+47\,B\,a^3\,b\,c\,d^3\,i^2}{60\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x^2\,\left(60\,A\,a^2\,b^2\,d^4\,i^2+47\,B\,a^2\,b^2\,d^4\,i^2+60\,A\,b^4\,c^2\,d^2\,i^2+2\,B\,b^4\,c^2\,d^2\,i^2-120\,A\,a\,b^3\,c\,d^3\,i^2-13\,B\,a\,b^3\,c\,d^3\,i^2\right)}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(60\,A\,a^3\,b\,d^4\,i^2+47\,B\,a^3\,b\,d^4\,i^2+180\,A\,b^4\,c^3\,d\,i^2+27\,B\,b^4\,c^3\,d\,i^2-300\,A\,a\,b^3\,c^2\,d^2\,i^2+60\,A\,a^2\,b^2\,c\,d^3\,i^2-73\,B\,a\,b^3\,c^2\,d^2\,i^2+47\,B\,a^2\,b^2\,c\,d^3\,i^2\right)}{12\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d\,x^3\,\left(9\,B\,a\,b^3\,d^3\,i^2-B\,b^4\,c\,d^2\,i^2\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,b^4\,d^4\,i^2\,x^4}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{30\,a^5\,b^3\,g^6+150\,a^4\,b^4\,g^6\,x+300\,a^3\,b^5\,g^6\,x^2+300\,a^2\,b^6\,g^6\,x^3+150\,a\,b^7\,g^6\,x^4+30\,b^8\,g^6\,x^5}","Not used",1,"(B*d^5*i^2*atanh((30*b^6*c^3*g^6 + 30*a^3*b^3*d^3*g^6 - 30*a*b^5*c^2*d*g^6 - 30*a^2*b^4*c*d^2*g^6)/(30*b^3*g^6*(a*d - b*c)^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(15*b^3*g^6*(a*d - b*c)^3) - (log((e*(a + b*x))/(c + d*x))*(a*((B*a*d^2*i^2)/(30*b^4*g^6) + (B*c*d*i^2)/(10*b^3*g^6)) + x*(b*((B*a*d^2*i^2)/(30*b^4*g^6) + (B*c*d*i^2)/(10*b^3*g^6)) + (2*B*a*d^2*i^2)/(15*b^3*g^6) + (2*B*c*d*i^2)/(5*b^2*g^6)) + (B*c^2*i^2)/(5*b^2*g^6) + (B*d^2*i^2*x^2)/(3*b^2*g^6)))/(5*a^4*x + a^5/b + b^4*x^5 + 10*a^3*b*x^2 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3) - ((60*A*a^4*d^4*i^2 + 360*A*b^4*c^4*i^2 + 47*B*a^4*d^4*i^2 + 72*B*b^4*c^4*i^2 + 60*A*a^2*b^2*c^2*d^2*i^2 + 47*B*a^2*b^2*c^2*d^2*i^2 - 540*A*a*b^3*c^3*d*i^2 + 60*A*a^3*b*c*d^3*i^2 - 153*B*a*b^3*c^3*d*i^2 + 47*B*a^3*b*c*d^3*i^2)/(60*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x^2*(60*A*a^2*b^2*d^4*i^2 + 47*B*a^2*b^2*d^4*i^2 + 60*A*b^4*c^2*d^2*i^2 + 2*B*b^4*c^2*d^2*i^2 - 120*A*a*b^3*c*d^3*i^2 - 13*B*a*b^3*c*d^3*i^2))/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(60*A*a^3*b*d^4*i^2 + 47*B*a^3*b*d^4*i^2 + 180*A*b^4*c^3*d*i^2 + 27*B*b^4*c^3*d*i^2 - 300*A*a*b^3*c^2*d^2*i^2 + 60*A*a^2*b^2*c*d^3*i^2 - 73*B*a*b^3*c^2*d^2*i^2 + 47*B*a^2*b^2*c*d^3*i^2))/(12*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (d*x^3*(9*B*a*b^3*d^3*i^2 - B*b^4*c*d^2*i^2))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^4*d^4*i^2*x^4)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(30*a^5*b^3*g^6 + 30*b^8*g^6*x^5 + 150*a^4*b^4*g^6*x + 150*a*b^7*g^6*x^4 + 300*a^3*b^5*g^6*x^2 + 300*a^2*b^6*g^6*x^3)","B"
20,1,4347,457,6.579945,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4-B\,b^4\,c^4+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d+8\,B\,a^3\,b\,c\,d^3\right)}{4\,b\,d}\right)}{140\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{b\,d}-\frac{a\,c\,g^3\,i^3\,\left(4\,A\,a^3\,d^3+4\,A\,b^3\,c^3+B\,a^3\,d^3-B\,b^3\,c^3+24\,A\,a\,b^2\,c^2\,d+24\,A\,a^2\,b\,c\,d^2-2\,B\,a\,b^2\,c^2\,d+2\,B\,a^2\,b\,c\,d^2\right)}{b\,d}\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4-B\,b^4\,c^4+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d+8\,B\,a^3\,b\,c\,d^3\right)}{4\,b\,d}\right)}{b\,d}+\frac{a^2\,c^2\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+3\,B\,a^2\,d^2-3\,B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2\,b\,d}\right)+x^6\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{42}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{840}\right)+x^3\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{3\,b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{420\,b\,d}+\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4-B\,b^4\,c^4+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d+8\,B\,a^3\,b\,c\,d^3\right)}{12\,b\,d}\right)-x^2\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4-B\,b^4\,c^4+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d+8\,B\,a^3\,b\,c\,d^3\right)}{4\,b\,d}\right)}{280\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{2\,b\,d}-\frac{a\,c\,g^3\,i^3\,\left(4\,A\,a^3\,d^3+4\,A\,b^3\,c^3+B\,a^3\,d^3-B\,b^3\,c^3+24\,A\,a\,b^2\,c^2\,d+24\,A\,a^2\,b\,c\,d^2-2\,B\,a\,b^2\,c^2\,d+2\,B\,a^2\,b\,c\,d^2\right)}{2\,b\,d}\right)-x^5\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{700\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{10}+\frac{A\,a\,b^2\,c\,d^2\,g^3\,i^3}{5}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,g^3\,i^3\,x^4\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{4}+B\,a^3\,c^3\,g^3\,i^3\,x+\frac{B\,b^3\,d^3\,g^3\,i^3\,x^7}{7}+\frac{3\,B\,a^2\,c^2\,g^3\,i^3\,x^2\,\left(a\,d+b\,c\right)}{2}+\frac{B\,b^2\,d^2\,g^3\,i^3\,x^6\,\left(a\,d+b\,c\right)}{2}+B\,a\,c\,g^3\,i^3\,x^3\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)+\frac{3\,B\,b\,d\,g^3\,i^3\,x^5\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{5}\right)+x^4\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3-3\,B\,b^3\,c^3+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d+6\,B\,a^2\,b\,c\,d^2\right)}{20}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{560\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{4\,b\,d}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^7\,d^3\,g^3\,i^3-7\,B\,a^6\,b\,c\,d^2\,g^3\,i^3+21\,B\,a^5\,b^2\,c^2\,d\,g^3\,i^3-35\,B\,a^4\,b^3\,c^3\,g^3\,i^3\right)}{140\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(-35\,B\,a^3\,c^4\,d^3\,g^3\,i^3+21\,B\,a^2\,b\,c^5\,d^2\,g^3\,i^3-7\,B\,a\,b^2\,c^6\,d\,g^3\,i^3+B\,b^3\,c^7\,g^3\,i^3\right)}{140\,d^4}+\frac{A\,b^3\,d^3\,g^3\,i^3\,x^7}{7}","Not used",1,"x*(((140*a*d + 140*b*c)*(((140*a*d + 140*b*c)*((a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4 - B*b^4*c^4 + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d + 8*B*a^3*b*c*d^3))/(4*b*d)))/(140*b*d) + (a*c*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(b*d) - (a*c*g^3*i^3*(4*A*a^3*d^3 + 4*A*b^3*c^3 + B*a^3*d^3 - B*b^3*c^3 + 24*A*a*b^2*c^2*d + 24*A*a^2*b*c*d^2 - 2*B*a*b^2*c^2*d + 2*B*a^2*b*c*d^2))/(b*d)))/(140*b*d) - (a*c*((a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4 - B*b^4*c^4 + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d + 8*B*a^3*b*c*d^3))/(4*b*d)))/(b*d) + (a^2*c^2*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + 3*B*a^2*d^2 - 3*B*b^2*c^2 + 32*A*a*b*c*d))/(2*b*d)) + x^6*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/42 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/840) + x^3*((a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(3*b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(420*b*d) + (g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4 - B*b^4*c^4 + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d + 8*B*a^3*b*c*d^3))/(12*b*d)) - x^2*(((140*a*d + 140*b*c)*((a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4 - B*b^4*c^4 + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d + 8*B*a^3*b*c*d^3))/(4*b*d)))/(280*b*d) + (a*c*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(2*b*d) - (a*c*g^3*i^3*(4*A*a^3*d^3 + 4*A*b^3*c^3 + B*a^3*d^3 - B*b^3*c^3 + 24*A*a*b^2*c^2*d + 24*A*a^2*b*c*d^2 - 2*B*a*b^2*c^2*d + 2*B*a^2*b*c*d^2))/(2*b*d)) - x^5*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(700*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/10 + (A*a*b^2*c*d^2*g^3*i^3)/5) + log((e*(a + b*x))/(c + d*x))*((B*g^3*i^3*x^4*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/4 + B*a^3*c^3*g^3*i^3*x + (B*b^3*d^3*g^3*i^3*x^7)/7 + (3*B*a^2*c^2*g^3*i^3*x^2*(a*d + b*c))/2 + (B*b^2*d^2*g^3*i^3*x^6*(a*d + b*c))/2 + B*a*c*g^3*i^3*x^3*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d) + (3*B*b*d*g^3*i^3*x^5*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d))/5) + x^4*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3 - 3*B*b^3*c^3 + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d + 6*B*a^2*b*c*d^2))/20 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(560*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d - B*b*c))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(4*b*d)) - (log(a + b*x)*(B*a^7*d^3*g^3*i^3 - 35*B*a^4*b^3*c^3*g^3*i^3 - 7*B*a^6*b*c*d^2*g^3*i^3 + 21*B*a^5*b^2*c^2*d*g^3*i^3))/(140*b^4) + (log(c + d*x)*(B*b^3*c^7*g^3*i^3 - 35*B*a^3*c^4*d^3*g^3*i^3 - 7*B*a*b^2*c^6*d*g^3*i^3 + 21*B*a^2*b*c^5*d^2*g^3*i^3))/(140*d^4) + (A*b^3*d^3*g^3*i^3*x^7)/7","B"
21,1,2465,371,6.044797,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^3\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{12\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{180\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{3\,b\,d}\right)-x^4\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{240\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{20}+\frac{A\,a\,b\,c\,d^2\,g^2\,i^3}{4}\right)+x^2\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{2\,b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{120\,b\,d}+\frac{c\,g^2\,i^3\,\left(12\,A\,a^3\,d^3+3\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+36\,A\,a\,b^2\,c^2\,d+54\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{6\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a^2\,c^3\,g^2\,i^3\,x+\frac{B\,c\,g^2\,i^3\,x^3\,\left(3\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{3}+\frac{B\,d\,g^2\,i^3\,x^4\,\left(a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{4}+\frac{B\,b^2\,d^3\,g^2\,i^3\,x^6}{6}+\frac{B\,a\,c^2\,g^2\,i^3\,x^2\,\left(3\,a\,d+2\,b\,c\right)}{2}+\frac{B\,b\,d^2\,g^2\,i^3\,x^5\,\left(2\,a\,d+3\,b\,c\right)}{5}\right)+x^5\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{30}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{300}\right)-x\,\left(\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{60\,b\,d}+\frac{c\,g^2\,i^3\,\left(12\,A\,a^3\,d^3+3\,A\,b^3\,c^3+3\,B\,a^3\,d^3-B\,b^3\,c^3+36\,A\,a\,b^2\,c^2\,d+54\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{3\,b\,d}\right)}{60\,b\,d}+\frac{a\,c\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3-3\,B\,b^3\,c^3+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d+5\,B\,a^2\,b\,c\,d^2\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2-3\,B\,b^2\,c^2+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{b\,d}-\frac{a\,c^2\,g^2\,i^3\,\left(12\,A\,a^2\,d^2+6\,A\,b^2\,c^2+3\,B\,a^2\,d^2-2\,B\,b^2\,c^2+24\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\right)}{2\,b\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(15\,B\,a^2\,c^4\,d^2\,g^2\,i^3-6\,B\,a\,b\,c^5\,d\,g^2\,i^3+B\,b^2\,c^6\,g^2\,i^3\right)}{60\,d^3}-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^6\,d^3\,g^2\,i^3-6\,B\,a^5\,b\,c\,d^2\,g^2\,i^3+15\,B\,a^4\,b^2\,c^2\,d\,g^2\,i^3-20\,B\,a^3\,b^3\,c^3\,g^2\,i^3\right)}{60\,b^4}+\frac{A\,b^2\,d^3\,g^2\,i^3\,x^6}{6}","Not used",1,"x^3*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(12*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(180*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(3*b*d)) - x^4*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(240*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/20 + (A*a*b*c*d^2*g^2*i^3)/4) + x^2*((a*c*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(2*b*d) - ((60*a*d + 60*b*c)*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(120*b*d) + (c*g^2*i^3*(12*A*a^3*d^3 + 3*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 36*A*a*b^2*c^2*d + 54*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(6*b*d)) + log((e*(a + b*x))/(c + d*x))*(B*a^2*c^3*g^2*i^3*x + (B*c*g^2*i^3*x^3*(3*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/3 + (B*d*g^2*i^3*x^4*(a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/4 + (B*b^2*d^3*g^2*i^3*x^6)/6 + (B*a*c^2*g^2*i^3*x^2*(3*a*d + 2*b*c))/2 + (B*b*d^2*g^2*i^3*x^5*(2*a*d + 3*b*c))/5) + x^5*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/30 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/300) - x*(((60*a*d + 60*b*c)*((a*c*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(b*d) - ((60*a*d + 60*b*c)*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(60*b*d) + (c*g^2*i^3*(12*A*a^3*d^3 + 3*A*b^3*c^3 + 3*B*a^3*d^3 - B*b^3*c^3 + 36*A*a*b^2*c^2*d + 54*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(3*b*d)))/(60*b*d) + (a*c*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3 - 3*B*b^3*c^3 + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d + 5*B*a^2*b*c*d^2))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2 - 3*B*b^2*c^2 + 60*A*a*b*c*d + B*a*b*c*d))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d - B*b*c))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(b*d) - (a*c^2*g^2*i^3*(12*A*a^2*d^2 + 6*A*b^2*c^2 + 3*B*a^2*d^2 - 2*B*b^2*c^2 + 24*A*a*b*c*d - B*a*b*c*d))/(2*b*d)) - (log(c + d*x)*(B*b^2*c^6*g^2*i^3 + 15*B*a^2*c^4*d^2*g^2*i^3 - 6*B*a*b*c^5*d*g^2*i^3))/(60*d^3) - (log(a + b*x)*(B*a^6*d^3*g^2*i^3 - 20*B*a^3*b^3*c^3*g^2*i^3 - 6*B*a^5*b*c*d^2*g^2*i^3 + 15*B*a^4*b^2*c^2*d*g^2*i^3))/(60*b^4) + (A*b^2*d^3*g^2*i^3*x^6)/6","B"
22,1,1192,271,5.437701,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^4\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{20}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{80}\right)+x\,\left(\frac{a\,c\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2-3\,B\,b^2\,c^2+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{b\,d}-\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2-3\,B\,b^2\,c^2+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{20\,b\,d}-\frac{a\,c\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{b\,d}+\frac{c\,g\,i^3\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+12\,A\,a\,b\,c\,d\right)}{b}\right)}{20\,b\,d}+\frac{c^2\,g\,i^3\,\left(12\,A\,a^2\,d^2+2\,A\,b^2\,c^2+3\,B\,a^2\,d^2-B\,b^2\,c^2+16\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\right)}{2\,b\,d}\right)-x^3\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{60\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2-3\,B\,b^2\,c^2+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\right)}{12\,b}+\frac{A\,a\,c\,d^2\,g\,i^3}{3}\right)+x^2\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2-3\,B\,b^2\,c^2+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{40\,b\,d}-\frac{a\,c\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{2\,b\,d}+\frac{c\,g\,i^3\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2-B\,b^2\,c^2+12\,A\,a\,b\,c\,d\right)}{2\,b}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,c^2\,g\,i^3\,x^2\,\left(3\,a\,d+b\,c\right)}{2}+\frac{B\,d^2\,g\,i^3\,x^4\,\left(a\,d+3\,b\,c\right)}{4}+B\,a\,c^3\,g\,i^3\,x+\frac{B\,b\,d^3\,g\,i^3\,x^5}{5}+B\,c\,d\,g\,i^3\,x^3\,\left(a\,d+b\,c\right)\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^5\,g\,i^3-5\,B\,a\,c^4\,d\,g\,i^3\right)}{20\,d^2}-\frac{\ln\left(a+b\,x\right)\,\left(B\,g\,a^5\,d^3\,i^3-5\,B\,g\,a^4\,b\,c\,d^2\,i^3+10\,B\,g\,a^3\,b^2\,c^2\,d\,i^3-10\,B\,g\,a^2\,b^3\,c^3\,i^3\right)}{20\,b^4}+\frac{A\,b\,d^3\,g\,i^3\,x^5}{5}","Not used",1,"x^4*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/20 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/80) + x*((a*c*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2 - 3*B*b^2*c^2 + 32*A*a*b*c*d + 2*B*a*b*c*d))/(4*b) + A*a*c*d^2*g*i^3))/(b*d) - ((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2 - 3*B*b^2*c^2 + 32*A*a*b*c*d + 2*B*a*b*c*d))/(4*b) + A*a*c*d^2*g*i^3))/(20*b*d) - (a*c*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(b*d) + (c*g*i^3*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 12*A*a*b*c*d))/b))/(20*b*d) + (c^2*g*i^3*(12*A*a^2*d^2 + 2*A*b^2*c^2 + 3*B*a^2*d^2 - B*b^2*c^2 + 16*A*a*b*c*d - 2*B*a*b*c*d))/(2*b*d)) - x^3*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(60*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2 - 3*B*b^2*c^2 + 32*A*a*b*c*d + 2*B*a*b*c*d))/(12*b) + (A*a*c*d^2*g*i^3)/3) + x^2*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2 - 3*B*b^2*c^2 + 32*A*a*b*c*d + 2*B*a*b*c*d))/(4*b) + A*a*c*d^2*g*i^3))/(40*b*d) - (a*c*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d - B*b*c))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(2*b*d) + (c*g*i^3*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2 - B*b^2*c^2 + 12*A*a*b*c*d))/(2*b)) + log((e*(a + b*x))/(c + d*x))*((B*c^2*g*i^3*x^2*(3*a*d + b*c))/2 + (B*d^2*g*i^3*x^4*(a*d + 3*b*c))/4 + B*a*c^3*g*i^3*x + (B*b*d^3*g*i^3*x^5)/5 + B*c*d*g*i^3*x^3*(a*d + b*c)) + (log(c + d*x)*(B*b*c^5*g*i^3 - 5*B*a*c^4*d*g*i^3))/(20*d^2) - (log(a + b*x)*(B*a^5*d^3*g*i^3 - 10*B*a^2*b^3*c^3*g*i^3 - 5*B*a^4*b*c*d^2*g*i^3 + 10*B*a^3*b^2*c^2*d*g*i^3))/(20*b^4) + (A*b*d^3*g*i^3*x^5)/5","B"
23,1,566,149,4.796898,"\text{Not used}","int((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{c\,d\,i^3\,\left(4\,A\,a\,d+6\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{b}+\frac{A\,a\,c\,d^2\,i^3}{b}\right)}{4\,b\,d}+\frac{c^2\,i^3\,\left(12\,A\,a\,d+8\,A\,b\,c+3\,B\,a\,d-3\,B\,b\,c\right)}{2\,b}-\frac{a\,c\,\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{c\,d\,i^3\,\left(4\,A\,a\,d+6\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,b}+\frac{A\,a\,c\,d^2\,i^3}{2\,b}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,c^3\,i^3\,x+\frac{3\,B\,c^2\,d\,i^3\,x^2}{2}+B\,c\,d^2\,i^3\,x^3+\frac{B\,d^3\,i^3\,x^4}{4}\right)+x^3\,\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{12\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,d^3\,i^3-4\,B\,a^3\,b\,c\,d^2\,i^3+6\,B\,a^2\,b^2\,c^2\,d\,i^3-4\,B\,a\,b^3\,c^3\,i^3\right)}{4\,b^4}+\frac{A\,d^3\,i^3\,x^4}{4}-\frac{B\,c^4\,i^3\,\ln\left(c+d\,x\right)}{4\,d}","Not used",1,"x*(((4*a*d + 4*b*c)*((((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d - B*b*c))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(4*b*d) - (c*d*i^3*(4*A*a*d + 6*A*b*c + B*a*d - B*b*c))/b + (A*a*c*d^2*i^3)/b))/(4*b*d) + (c^2*i^3*(12*A*a*d + 8*A*b*c + 3*B*a*d - 3*B*b*c))/(2*b) - (a*c*((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d - B*b*c))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b)))/(b*d)) - x^2*((((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d - B*b*c))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(8*b*d) - (c*d*i^3*(4*A*a*d + 6*A*b*c + B*a*d - B*b*c))/(2*b) + (A*a*c*d^2*i^3)/(2*b)) + log((e*(a + b*x))/(c + d*x))*((B*d^3*i^3*x^4)/4 + B*c^3*i^3*x + (3*B*c^2*d*i^3*x^2)/2 + B*c*d^2*i^3*x^3) + x^3*((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d - B*b*c))/(12*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(12*b)) - (log(a + b*x)*(B*a^4*d^3*i^3 - 4*B*a*b^3*c^3*i^3 + 6*B*a^2*b^2*c^2*d*i^3 - 4*B*a^3*b*c*d^2*i^3))/(4*b^4) + (A*d^3*i^3*x^4)/4 - (B*c^4*i^3*log(c + d*x))/(4*d)","B"
24,0,-1,356,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x), x)","F"
25,0,-1,373,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^2, x)","F"
26,0,-1,345,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^3, x)","F"
27,0,-1,310,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^4,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(a\,g+b\,g\,x\right)}^4} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^4, x)","F"
28,1,780,89,7.156107,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^5,x)","-\frac{x^3\,\left(4\,A\,b^3\,d^3\,i^3+B\,b^3\,d^3\,i^3\right)+x^2\,\left(6\,A\,a\,b^2\,d^3\,i^3+\frac{3\,B\,a\,b^2\,d^3\,i^3}{2}+6\,A\,b^3\,c\,d^2\,i^3+\frac{3\,B\,b^3\,c\,d^2\,i^3}{2}\right)+x\,\left(4\,A\,a^2\,b\,d^3\,i^3+B\,a^2\,b\,d^3\,i^3+4\,A\,b^3\,c^2\,d\,i^3+B\,b^3\,c^2\,d\,i^3+4\,A\,a\,b^2\,c\,d^2\,i^3+B\,a\,b^2\,c\,d^2\,i^3\right)+A\,a^3\,d^3\,i^3+A\,b^3\,c^3\,i^3+\frac{B\,a^3\,d^3\,i^3}{4}+\frac{B\,b^3\,c^3\,i^3}{4}+A\,a\,b^2\,c^2\,d\,i^3+A\,a^2\,b\,c\,d^2\,i^3+\frac{B\,a\,b^2\,c^2\,d\,i^3}{4}+\frac{B\,a^2\,b\,c\,d^2\,i^3}{4}}{4\,a^4\,b^4\,g^5+16\,a^3\,b^5\,g^5\,x+24\,a^2\,b^6\,g^5\,x^2+16\,a\,b^7\,g^5\,x^3+4\,b^8\,g^5\,x^4}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(b\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{4\,b^5\,g^5}+\frac{B\,c\,d^2\,i^3}{4\,b^4\,g^5}\right)+\frac{B\,a\,d^3\,i^3}{2\,b^4\,g^5}+\frac{B\,c\,d^2\,i^3}{2\,b^3\,g^5}\right)+\frac{3\,B\,a\,d^3\,i^3}{4\,b^3\,g^5}+\frac{3\,B\,c\,d^2\,i^3}{4\,b^2\,g^5}\right)+x\,\left(b\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{4\,b^5\,g^5}+\frac{B\,c\,d^2\,i^3}{4\,b^4\,g^5}\right)+\frac{B\,c^2\,d\,i^3}{4\,b^3\,g^5}\right)+a\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{4\,b^5\,g^5}+\frac{B\,c\,d^2\,i^3}{4\,b^4\,g^5}\right)+\frac{B\,a\,d^3\,i^3}{2\,b^4\,g^5}+\frac{B\,c\,d^2\,i^3}{2\,b^3\,g^5}\right)+\frac{3\,B\,c^2\,d\,i^3}{4\,b^2\,g^5}\right)+a\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{4\,b^5\,g^5}+\frac{B\,c\,d^2\,i^3}{4\,b^4\,g^5}\right)+\frac{B\,c^2\,d\,i^3}{4\,b^3\,g^5}\right)+\frac{B\,c^3\,i^3}{4\,b^2\,g^5}+\frac{B\,d^3\,i^3\,x^3}{b^2\,g^5}\right)}{4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3}-\frac{B\,d^4\,i^3\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b^4\,g^5\,\left(a\,d-b\,c\right)}","Not used",1,"- (x^3*(4*A*b^3*d^3*i^3 + B*b^3*d^3*i^3) + x^2*(6*A*a*b^2*d^3*i^3 + (3*B*a*b^2*d^3*i^3)/2 + 6*A*b^3*c*d^2*i^3 + (3*B*b^3*c*d^2*i^3)/2) + x*(4*A*a^2*b*d^3*i^3 + B*a^2*b*d^3*i^3 + 4*A*b^3*c^2*d*i^3 + B*b^3*c^2*d*i^3 + 4*A*a*b^2*c*d^2*i^3 + B*a*b^2*c*d^2*i^3) + A*a^3*d^3*i^3 + A*b^3*c^3*i^3 + (B*a^3*d^3*i^3)/4 + (B*b^3*c^3*i^3)/4 + A*a*b^2*c^2*d*i^3 + A*a^2*b*c*d^2*i^3 + (B*a*b^2*c^2*d*i^3)/4 + (B*a^2*b*c*d^2*i^3)/4)/(4*a^4*b^4*g^5 + 4*b^8*g^5*x^4 + 16*a^3*b^5*g^5*x + 16*a*b^7*g^5*x^3 + 24*a^2*b^6*g^5*x^2) - (log((e*(a + b*x))/(c + d*x))*(x^2*(b*(b*((B*a*d^3*i^3)/(4*b^5*g^5) + (B*c*d^2*i^3)/(4*b^4*g^5)) + (B*a*d^3*i^3)/(2*b^4*g^5) + (B*c*d^2*i^3)/(2*b^3*g^5)) + (3*B*a*d^3*i^3)/(4*b^3*g^5) + (3*B*c*d^2*i^3)/(4*b^2*g^5)) + x*(b*(a*((B*a*d^3*i^3)/(4*b^5*g^5) + (B*c*d^2*i^3)/(4*b^4*g^5)) + (B*c^2*d*i^3)/(4*b^3*g^5)) + a*(b*((B*a*d^3*i^3)/(4*b^5*g^5) + (B*c*d^2*i^3)/(4*b^4*g^5)) + (B*a*d^3*i^3)/(2*b^4*g^5) + (B*c*d^2*i^3)/(2*b^3*g^5)) + (3*B*c^2*d*i^3)/(4*b^2*g^5)) + a*(a*((B*a*d^3*i^3)/(4*b^5*g^5) + (B*c*d^2*i^3)/(4*b^4*g^5)) + (B*c^2*d*i^3)/(4*b^3*g^5)) + (B*c^3*i^3)/(4*b^2*g^5) + (B*d^3*i^3*x^3)/(b^2*g^5)))/(4*a^3*x + a^4/b + b^3*x^4 + 6*a^2*b*x^2 + 4*a*b^2*x^3) - (B*d^4*i^3*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*1i)/(2*b^4*g^5*(a*d - b*c))","B"
29,1,1053,181,8.311856,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^6,x)","-\frac{\frac{20\,A\,a^4\,d^4\,i^3-80\,A\,b^4\,c^4\,i^3+9\,B\,a^4\,d^4\,i^3-16\,B\,b^4\,c^4\,i^3+20\,A\,a^2\,b^2\,c^2\,d^2\,i^3+9\,B\,a^2\,b^2\,c^2\,d^2\,i^3+20\,A\,a\,b^3\,c^3\,d\,i^3+20\,A\,a^3\,b\,c\,d^3\,i^3+9\,B\,a\,b^3\,c^3\,d\,i^3+9\,B\,a^3\,b\,c\,d^3\,i^3}{20\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(20\,A\,a^2\,b^2\,d^4\,i^3+9\,B\,a^2\,b^2\,d^4\,i^3-40\,A\,b^4\,c^2\,d^2\,i^3-6\,B\,b^4\,c^2\,d^2\,i^3+20\,A\,a\,b^3\,c\,d^3\,i^3+9\,B\,a\,b^3\,c\,d^3\,i^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(20\,A\,a^3\,b\,d^4\,i^3+9\,B\,a^3\,b\,d^4\,i^3-60\,A\,b^4\,c^3\,d\,i^3-11\,B\,b^4\,c^3\,d\,i^3+20\,A\,a\,b^3\,c^2\,d^2\,i^3+20\,A\,a^2\,b^2\,c\,d^3\,i^3+9\,B\,a\,b^3\,c^2\,d^2\,i^3+9\,B\,a^2\,b^2\,c\,d^3\,i^3\right)}{4\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(20\,A\,a\,b^3\,d^4\,i^3+9\,B\,a\,b^3\,d^4\,i^3-20\,A\,b^4\,c\,d^3\,i^3-B\,b^4\,c\,d^3\,i^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b^4\,d^4\,i^3\,x^4}{a\,d-b\,c}}{20\,a^5\,b^4\,g^6+100\,a^4\,b^5\,g^6\,x+200\,a^3\,b^6\,g^6\,x^2+200\,a^2\,b^7\,g^6\,x^3+100\,a\,b^8\,g^6\,x^4+20\,b^9\,g^6\,x^5}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(b\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B\,a\,d^3\,i^3}{20\,b^4\,g^6}+\frac{3\,B\,c\,d^2\,i^3}{10\,b^3\,g^6}\right)+\frac{3\,B\,a\,d^3\,i^3}{10\,b^3\,g^6}+\frac{3\,B\,c\,d^2\,i^3}{5\,b^2\,g^6}\right)+x\,\left(b\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B\,c^2\,d\,i^3}{20\,b^3\,g^6}\right)+a\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B\,a\,d^3\,i^3}{20\,b^4\,g^6}+\frac{3\,B\,c\,d^2\,i^3}{10\,b^3\,g^6}\right)+\frac{3\,B\,c^2\,d\,i^3}{5\,b^2\,g^6}\right)+a\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B\,c^2\,d\,i^3}{20\,b^3\,g^6}\right)+\frac{B\,c^3\,i^3}{5\,b^2\,g^6}+\frac{B\,d^3\,i^3\,x^3}{2\,b^2\,g^6}\right)}{5\,a^4\,x+\frac{a^5}{b}+b^4\,x^5+10\,a^3\,b\,x^2+5\,a\,b^3\,x^4+10\,a^2\,b^2\,x^3}-\frac{B\,d^5\,i^3\,\mathrm{atanh}\left(\frac{20\,b^6\,c^2\,g^6-20\,a^2\,b^4\,d^2\,g^6}{20\,b^4\,g^6\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{10\,b^4\,g^6\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((20*A*a^4*d^4*i^3 - 80*A*b^4*c^4*i^3 + 9*B*a^4*d^4*i^3 - 16*B*b^4*c^4*i^3 + 20*A*a^2*b^2*c^2*d^2*i^3 + 9*B*a^2*b^2*c^2*d^2*i^3 + 20*A*a*b^3*c^3*d*i^3 + 20*A*a^3*b*c*d^3*i^3 + 9*B*a*b^3*c^3*d*i^3 + 9*B*a^3*b*c*d^3*i^3)/(20*(a*d - b*c)) + (x^2*(20*A*a^2*b^2*d^4*i^3 + 9*B*a^2*b^2*d^4*i^3 - 40*A*b^4*c^2*d^2*i^3 - 6*B*b^4*c^2*d^2*i^3 + 20*A*a*b^3*c*d^3*i^3 + 9*B*a*b^3*c*d^3*i^3))/(2*(a*d - b*c)) + (x*(20*A*a^3*b*d^4*i^3 + 9*B*a^3*b*d^4*i^3 - 60*A*b^4*c^3*d*i^3 - 11*B*b^4*c^3*d*i^3 + 20*A*a*b^3*c^2*d^2*i^3 + 20*A*a^2*b^2*c*d^3*i^3 + 9*B*a*b^3*c^2*d^2*i^3 + 9*B*a^2*b^2*c*d^3*i^3))/(4*(a*d - b*c)) + (x^3*(20*A*a*b^3*d^4*i^3 + 9*B*a*b^3*d^4*i^3 - 20*A*b^4*c*d^3*i^3 - B*b^4*c*d^3*i^3))/(2*(a*d - b*c)) + (B*b^4*d^4*i^3*x^4)/(a*d - b*c))/(20*a^5*b^4*g^6 + 20*b^9*g^6*x^5 + 100*a^4*b^5*g^6*x + 100*a*b^8*g^6*x^4 + 200*a^3*b^6*g^6*x^2 + 200*a^2*b^7*g^6*x^3) - (log((e*(a + b*x))/(c + d*x))*(x^2*(b*(b*((B*a*d^3*i^3)/(20*b^5*g^6) + (B*c*d^2*i^3)/(10*b^4*g^6)) + (3*B*a*d^3*i^3)/(20*b^4*g^6) + (3*B*c*d^2*i^3)/(10*b^3*g^6)) + (3*B*a*d^3*i^3)/(10*b^3*g^6) + (3*B*c*d^2*i^3)/(5*b^2*g^6)) + x*(b*(a*((B*a*d^3*i^3)/(20*b^5*g^6) + (B*c*d^2*i^3)/(10*b^4*g^6)) + (3*B*c^2*d*i^3)/(20*b^3*g^6)) + a*(b*((B*a*d^3*i^3)/(20*b^5*g^6) + (B*c*d^2*i^3)/(10*b^4*g^6)) + (3*B*a*d^3*i^3)/(20*b^4*g^6) + (3*B*c*d^2*i^3)/(10*b^3*g^6)) + (3*B*c^2*d*i^3)/(5*b^2*g^6)) + a*(a*((B*a*d^3*i^3)/(20*b^5*g^6) + (B*c*d^2*i^3)/(10*b^4*g^6)) + (3*B*c^2*d*i^3)/(20*b^3*g^6)) + (B*c^3*i^3)/(5*b^2*g^6) + (B*d^3*i^3*x^3)/(2*b^2*g^6)))/(5*a^4*x + a^5/b + b^4*x^5 + 10*a^3*b*x^2 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3) - (B*d^5*i^3*atanh((20*b^6*c^2*g^6 - 20*a^2*b^4*d^2*g^6)/(20*b^4*g^6*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(10*b^4*g^6*(a*d - b*c)^2)","B"
30,1,1396,281,9.731366,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(a*g + b*g*x)^7,x)","\frac{B\,d^6\,i^3\,\mathrm{atanh}\left(\frac{60\,a^3\,b^4\,d^3\,g^7-60\,a^2\,b^5\,c\,d^2\,g^7-60\,a\,b^6\,c^2\,d\,g^7+60\,b^7\,c^3\,g^7}{60\,b^4\,g^7\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{30\,b^4\,g^7\,{\left(a\,d-b\,c\right)}^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(b\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B\,a\,d^3\,i^3}{15\,b^4\,g^7}+\frac{B\,c\,d^2\,i^3}{5\,b^3\,g^7}\right)+\frac{B\,a\,d^3\,i^3}{6\,b^3\,g^7}+\frac{B\,c\,d^2\,i^3}{2\,b^2\,g^7}\right)+x\,\left(b\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B\,c^2\,d\,i^3}{10\,b^3\,g^7}\right)+a\,\left(b\,\left(\frac{B\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B\,a\,d^3\,i^3}{15\,b^4\,g^7}+\frac{B\,c\,d^2\,i^3}{5\,b^3\,g^7}\right)+\frac{B\,c^2\,d\,i^3}{2\,b^2\,g^7}\right)+a\,\left(a\,\left(\frac{B\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B\,c^2\,d\,i^3}{10\,b^3\,g^7}\right)+\frac{B\,c^3\,i^3}{6\,b^2\,g^7}+\frac{B\,d^3\,i^3\,x^3}{3\,b^2\,g^7}\right)}{6\,a^5\,x+\frac{a^6}{b}+b^5\,x^6+15\,a^4\,b\,x^2+6\,a\,b^4\,x^5+20\,a^3\,b^2\,x^3+15\,a^2\,b^3\,x^4}-\frac{\frac{60\,A\,a^5\,d^5\,i^3+600\,A\,b^5\,c^5\,i^3+37\,B\,a^5\,d^5\,i^3+100\,B\,b^5\,c^5\,i^3+60\,A\,a^2\,b^3\,c^3\,d^2\,i^3+60\,A\,a^3\,b^2\,c^2\,d^3\,i^3+37\,B\,a^2\,b^3\,c^3\,d^2\,i^3+37\,B\,a^3\,b^2\,c^2\,d^3\,i^3-840\,A\,a\,b^4\,c^4\,d\,i^3+60\,A\,a^4\,b\,c\,d^4\,i^3-188\,B\,a\,b^4\,c^4\,d\,i^3+37\,B\,a^4\,b\,c\,d^4\,i^3}{60\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x^2\,\left(60\,A\,a^3\,b^2\,d^5\,i^3+37\,B\,a^3\,b^2\,d^5\,i^3+180\,A\,b^5\,c^3\,d^2\,i^3+19\,B\,b^5\,c^3\,d^2\,i^3-300\,A\,a\,b^4\,c^2\,d^3\,i^3+60\,A\,a^2\,b^3\,c\,d^4\,i^3-53\,B\,a\,b^4\,c^2\,d^3\,i^3+37\,B\,a^2\,b^3\,c\,d^4\,i^3\right)}{4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(60\,A\,a^4\,b\,d^5\,i^3+37\,B\,a^4\,b\,d^5\,i^3+360\,A\,b^5\,c^4\,d\,i^3+52\,B\,b^5\,c^4\,d\,i^3-540\,A\,a\,b^4\,c^3\,d^2\,i^3+60\,A\,a^3\,b^2\,c\,d^4\,i^3-113\,B\,a\,b^4\,c^3\,d^2\,i^3+37\,B\,a^3\,b^2\,c\,d^4\,i^3+60\,A\,a^2\,b^3\,c^2\,d^3\,i^3+37\,B\,a^2\,b^3\,c^2\,d^3\,i^3\right)}{10\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x^3\,\left(60\,A\,a^2\,b^3\,d^5\,i^3+37\,B\,a^2\,b^3\,d^5\,i^3+60\,A\,b^5\,c^2\,d^3\,i^3+B\,b^5\,c^2\,d^3\,i^3-120\,A\,a\,b^4\,c\,d^4\,i^3-8\,B\,a\,b^4\,c\,d^4\,i^3\right)}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d\,x^4\,\left(11\,B\,a\,b^4\,d^4\,i^3-B\,b^5\,c\,d^3\,i^3\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,b^5\,d^5\,i^3\,x^5}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{60\,a^6\,b^4\,g^7+360\,a^5\,b^5\,g^7\,x+900\,a^4\,b^6\,g^7\,x^2+1200\,a^3\,b^7\,g^7\,x^3+900\,a^2\,b^8\,g^7\,x^4+360\,a\,b^9\,g^7\,x^5+60\,b^{10}\,g^7\,x^6}","Not used",1,"(B*d^6*i^3*atanh((60*b^7*c^3*g^7 + 60*a^3*b^4*d^3*g^7 - 60*a*b^6*c^2*d*g^7 - 60*a^2*b^5*c*d^2*g^7)/(60*b^4*g^7*(a*d - b*c)^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(30*b^4*g^7*(a*d - b*c)^3) - (log((e*(a + b*x))/(c + d*x))*(x^2*(b*(b*((B*a*d^3*i^3)/(60*b^5*g^7) + (B*c*d^2*i^3)/(20*b^4*g^7)) + (B*a*d^3*i^3)/(15*b^4*g^7) + (B*c*d^2*i^3)/(5*b^3*g^7)) + (B*a*d^3*i^3)/(6*b^3*g^7) + (B*c*d^2*i^3)/(2*b^2*g^7)) + x*(b*(a*((B*a*d^3*i^3)/(60*b^5*g^7) + (B*c*d^2*i^3)/(20*b^4*g^7)) + (B*c^2*d*i^3)/(10*b^3*g^7)) + a*(b*((B*a*d^3*i^3)/(60*b^5*g^7) + (B*c*d^2*i^3)/(20*b^4*g^7)) + (B*a*d^3*i^3)/(15*b^4*g^7) + (B*c*d^2*i^3)/(5*b^3*g^7)) + (B*c^2*d*i^3)/(2*b^2*g^7)) + a*(a*((B*a*d^3*i^3)/(60*b^5*g^7) + (B*c*d^2*i^3)/(20*b^4*g^7)) + (B*c^2*d*i^3)/(10*b^3*g^7)) + (B*c^3*i^3)/(6*b^2*g^7) + (B*d^3*i^3*x^3)/(3*b^2*g^7)))/(6*a^5*x + a^6/b + b^5*x^6 + 15*a^4*b*x^2 + 6*a*b^4*x^5 + 20*a^3*b^2*x^3 + 15*a^2*b^3*x^4) - ((60*A*a^5*d^5*i^3 + 600*A*b^5*c^5*i^3 + 37*B*a^5*d^5*i^3 + 100*B*b^5*c^5*i^3 + 60*A*a^2*b^3*c^3*d^2*i^3 + 60*A*a^3*b^2*c^2*d^3*i^3 + 37*B*a^2*b^3*c^3*d^2*i^3 + 37*B*a^3*b^2*c^2*d^3*i^3 - 840*A*a*b^4*c^4*d*i^3 + 60*A*a^4*b*c*d^4*i^3 - 188*B*a*b^4*c^4*d*i^3 + 37*B*a^4*b*c*d^4*i^3)/(60*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x^2*(60*A*a^3*b^2*d^5*i^3 + 37*B*a^3*b^2*d^5*i^3 + 180*A*b^5*c^3*d^2*i^3 + 19*B*b^5*c^3*d^2*i^3 - 300*A*a*b^4*c^2*d^3*i^3 + 60*A*a^2*b^3*c*d^4*i^3 - 53*B*a*b^4*c^2*d^3*i^3 + 37*B*a^2*b^3*c*d^4*i^3))/(4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(60*A*a^4*b*d^5*i^3 + 37*B*a^4*b*d^5*i^3 + 360*A*b^5*c^4*d*i^3 + 52*B*b^5*c^4*d*i^3 - 540*A*a*b^4*c^3*d^2*i^3 + 60*A*a^3*b^2*c*d^4*i^3 - 113*B*a*b^4*c^3*d^2*i^3 + 37*B*a^3*b^2*c*d^4*i^3 + 60*A*a^2*b^3*c^2*d^3*i^3 + 37*B*a^2*b^3*c^2*d^3*i^3))/(10*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x^3*(60*A*a^2*b^3*d^5*i^3 + 37*B*a^2*b^3*d^5*i^3 + 60*A*b^5*c^2*d^3*i^3 + B*b^5*c^2*d^3*i^3 - 120*A*a*b^4*c*d^4*i^3 - 8*B*a*b^4*c*d^4*i^3))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (d*x^4*(11*B*a*b^4*d^4*i^3 - B*b^5*c*d^3*i^3))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^5*d^5*i^3*x^5)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(60*a^6*b^4*g^7 + 60*b^10*g^7*x^6 + 360*a^5*b^5*g^7*x + 360*a*b^9*g^7*x^5 + 900*a^4*b^6*g^7*x^2 + 1200*a^3*b^7*g^7*x^3 + 900*a^2*b^8*g^7*x^4)","B"
31,0,-1,252,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x), x)","F"
32,0,-1,198,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x), x)","F"
33,0,-1,125,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x),x)","\int \frac{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x), x)","F"
34,0,-1,76,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(c*i + d*i*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))/(c*i + d*i*x), x)","F"
35,1,69,44,5.744946,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)*(c*i + d*i*x)),x)","-\frac{B\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2-A\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{2\,g\,i\,\left(a\,d-b\,c\right)}","Not used",1,"-(B*log((e*(a + b*x))/(c + d*x))^2 - A*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*4i)/(2*g*i*(a*d - b*c))","B"
36,1,241,173,5.843725,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^2*(c*i + d*i*x)),x)","\frac{A+B}{\left(a\,d-b\,c\right)\,\left(a\,g^2\,i+b\,g^2\,i\,x\right)}-\frac{B\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g^2\,i\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,d-b\,c\right)}{b\,d\,g^2\,i\,\left(\frac{x}{d}+\frac{a}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{a^2\,d^2\,g^2\,i-b^2\,c^2\,g^2\,i}{g^2\,i\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A+B\right)\,2{}\mathrm{i}}{g^2\,i\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(A + B)/((a*d - b*c)*(a*g^2*i + b*g^2*i*x)) + (d*atan(((2*b*d*x + (a^2*d^2*g^2*i - b^2*c^2*g^2*i)/(g^2*i*(a*d - b*c)))*1i)/(a*d - b*c))*(A + B)*2i)/(g^2*i*(a*d - b*c)^2) - (B*d*log((e*(a + b*x))/(c + d*x))^2)/(2*g^2*i*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*log((e*(a + b*x))/(c + d*x))*(a*d - b*c))/(b*d*g^2*i*(x/d + a/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
37,1,545,255,6.930024,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^3*(c*i + d*i*x)),x)","\frac{3\,A\,a\,d}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}-\frac{B\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^3}-\frac{A\,b\,c}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}+\frac{7\,B\,a\,d}{4\,g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}-\frac{B\,b\,c}{4\,g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}+\frac{3\,B\,a^2\,d^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2}+\frac{B\,b^2\,c^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2}+\frac{A\,b\,d\,x}{g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}+\frac{3\,B\,b\,d\,x}{2\,g^3\,i\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2}+\frac{B\,a\,b\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2}-\frac{B\,b^2\,c\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2}-\frac{2\,B\,a\,b\,c\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2}+\frac{A\,d^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3}+\frac{B\,d^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,3{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(A*d^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g^3*i*(a*d - b*c)^3) + (B*d^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*3i)/(g^3*i*(a*d - b*c)^3) - (B*d^2*log((e*(a + b*x))/(c + d*x))^2)/(2*g^3*i*(a*d - b*c)^3) + (3*A*a*d)/(2*g^3*i*(a*d - b*c)^2*(a + b*x)^2) - (A*b*c)/(2*g^3*i*(a*d - b*c)^2*(a + b*x)^2) + (7*B*a*d)/(4*g^3*i*(a*d - b*c)^2*(a + b*x)^2) - (B*b*c)/(4*g^3*i*(a*d - b*c)^2*(a + b*x)^2) + (3*B*a^2*d^2*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i*(a*d - b*c)^3*(a + b*x)^2) + (B*b^2*c^2*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i*(a*d - b*c)^3*(a + b*x)^2) + (A*b*d*x)/(g^3*i*(a*d - b*c)^2*(a + b*x)^2) + (3*B*b*d*x)/(2*g^3*i*(a*d - b*c)^2*(a + b*x)^2) + (B*a*b*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i*(a*d - b*c)^3*(a + b*x)^2) - (B*b^2*c*d*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i*(a*d - b*c)^3*(a + b*x)^2) - (2*B*a*b*c*d*log((e*(a + b*x))/(c + d*x)))/(g^3*i*(a*d - b*c)^3*(a + b*x)^2)","B"
38,1,970,373,9.509995,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^4*(c*i + d*i*x)),x)","\frac{11\,A\,a^2\,d^2}{6\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}-\frac{B\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^4}+\frac{A\,b^2\,c^2}{3\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{85\,B\,a^2\,d^2}{36\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{B\,b^2\,c^2}{9\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{11\,B\,a^3\,d^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{6\,g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}-\frac{B\,b^3\,c^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{3\,g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}+\frac{A\,b^2\,d^2\,x^2}{g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{11\,B\,b^2\,d^2\,x^2}{6\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}-\frac{7\,A\,a\,b\,c\,d}{6\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}-\frac{23\,B\,a\,b\,c\,d}{36\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{5\,A\,a\,b\,d^2\,x}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{49\,B\,a\,b\,d^2\,x}{12\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}-\frac{A\,b^2\,c\,d\,x}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}-\frac{5\,B\,b^2\,c\,d\,x}{12\,g^4\,i\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^3}+\frac{3\,B\,a\,b^2\,c^2\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}-\frac{3\,B\,a^2\,b\,c\,d^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}+\frac{5\,B\,a^2\,b\,d^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}+\frac{B\,b^3\,c^2\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}+\frac{B\,a\,b^2\,d^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}-\frac{B\,b^3\,c\,d^2\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}-\frac{3\,B\,a\,b^2\,c\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^3}+\frac{A\,d^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4}+\frac{B\,d^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,11{}\mathrm{i}}{3\,g^4\,i\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(A*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g^4*i*(a*d - b*c)^4) + (B*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*11i)/(3*g^4*i*(a*d - b*c)^4) - (B*d^3*log((e*(a + b*x))/(c + d*x))^2)/(2*g^4*i*(a*d - b*c)^4) + (11*A*a^2*d^2)/(6*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (A*b^2*c^2)/(3*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (85*B*a^2*d^2)/(36*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (B*b^2*c^2)/(9*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (11*B*a^3*d^3*log((e*(a + b*x))/(c + d*x)))/(6*g^4*i*(a*d - b*c)^4*(a + b*x)^3) - (B*b^3*c^3*log((e*(a + b*x))/(c + d*x)))/(3*g^4*i*(a*d - b*c)^4*(a + b*x)^3) + (A*b^2*d^2*x^2)/(g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (11*B*b^2*d^2*x^2)/(6*g^4*i*(a*d - b*c)^3*(a + b*x)^3) - (7*A*a*b*c*d)/(6*g^4*i*(a*d - b*c)^3*(a + b*x)^3) - (23*B*a*b*c*d)/(36*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (5*A*a*b*d^2*x)/(2*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (49*B*a*b*d^2*x)/(12*g^4*i*(a*d - b*c)^3*(a + b*x)^3) - (A*b^2*c*d*x)/(2*g^4*i*(a*d - b*c)^3*(a + b*x)^3) - (5*B*b^2*c*d*x)/(12*g^4*i*(a*d - b*c)^3*(a + b*x)^3) + (3*B*a*b^2*c^2*d*log((e*(a + b*x))/(c + d*x)))/(2*g^4*i*(a*d - b*c)^4*(a + b*x)^3) - (3*B*a^2*b*c*d^2*log((e*(a + b*x))/(c + d*x)))/(g^4*i*(a*d - b*c)^4*(a + b*x)^3) + (5*B*a^2*b*d^3*x*log((e*(a + b*x))/(c + d*x)))/(2*g^4*i*(a*d - b*c)^4*(a + b*x)^3) + (B*b^3*c^2*d*x*log((e*(a + b*x))/(c + d*x)))/(2*g^4*i*(a*d - b*c)^4*(a + b*x)^3) + (B*a*b^2*d^3*x^2*log((e*(a + b*x))/(c + d*x)))/(g^4*i*(a*d - b*c)^4*(a + b*x)^3) - (B*b^3*c*d^2*x^2*log((e*(a + b*x))/(c + d*x)))/(g^4*i*(a*d - b*c)^4*(a + b*x)^3) - (3*B*a*b^2*c*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g^4*i*(a*d - b*c)^4*(a + b*x)^3)","B"
39,0,-1,341,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2, x)","F"
40,0,-1,260,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2, x)","F"
41,0,-1,160,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2,x)","\int \frac{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^2, x)","F"
42,1,106,98,4.885088,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(c*i + d*i*x)^2,x)","-\frac{A-B}{x\,d^2\,i^2+c\,d\,i^2}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{d^2\,i^2\,\left(x+\frac{c}{d}\right)}+\frac{B\,b\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d\,i^2\,\left(a\,d-b\,c\right)}","Not used",1,"(B*b*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(d*i^2*(a*d - b*c)) - (B*log((e*(a + b*x))/(c + d*x)))/(d^2*i^2*(x + c/d)) - (A - B)/(d^2*i^2*x + c*d*i^2)","B"
43,1,247,156,5.812833,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)*(c*i + d*i*x)^2),x)","\frac{B\,b\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{A-B}{\left(a\,d-b\,c\right)\,\left(c\,g\,i^2+d\,g\,i^2\,x\right)}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,d-b\,c\right)}{b\,d\,g\,i^2\,\left(\frac{x}{b}+\frac{c}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{b\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{a^2\,d^2\,g\,i^2-b^2\,c^2\,g\,i^2}{g\,i^2\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-B\right)\,2{}\mathrm{i}}{g\,i^2\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(B*b*log((e*(a + b*x))/(c + d*x))^2)/(2*g*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (b*atan(((2*b*d*x + (a^2*d^2*g*i^2 - b^2*c^2*g*i^2)/(g*i^2*(a*d - b*c)))*1i)/(a*d - b*c))*(A - B)*2i)/(g*i^2*(a*d - b*c)^2) - (A - B)/((a*d - b*c)*(c*g*i^2 + d*g*i^2*x)) - (B*log((e*(a + b*x))/(c + d*x))*(a*d - b*c))/(b*d*g*i^2*(x/b + c/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
44,1,415,261,6.175454,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x)","\frac{B\,b\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}-\frac{A\,a\,d}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{A\,b\,c}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}+\frac{B\,a\,d}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,b\,c}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{2\,A\,b\,d\,x}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,a\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,b\,c\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{2\,B\,b\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{A\,b\,d\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,4{}\mathrm{i}}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(B*b*d*log((e*(a + b*x))/(c + d*x))^2)/(g^2*i^2*(a*d - b*c)^3) - (A*b*d*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*4i)/(g^2*i^2*(a*d - b*c)^3) - (A*a*d)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (A*b*c)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) + (B*a*d)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*b*c)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (2*A*b*d*x)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*a*d*log((e*(a + b*x))/(c + d*x)))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*b*c*log((e*(a + b*x))/(c + d*x)))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (2*B*b*d*x*log((e*(a + b*x))/(c + d*x)))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x))","B"
45,1,984,364,9.113423,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x)","\frac{3\,B\,b\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}-\frac{A\,a^2\,d^2}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}+\frac{A\,b^2\,c^2}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}+\frac{B\,a^2\,d^2}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}+\frac{B\,b^2\,c^2}{4\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{B\,a\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{B\,b\,c\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,A\,b^2\,d^2\,x^2}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,b^2\,d^2\,x^2}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{5\,A\,a\,b\,c\,d}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{11\,B\,a\,b\,c\,d}{4\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,b\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,b^2\,d^2\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{9\,A\,a\,b\,d^2\,x}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,a\,b\,d^2\,x}{4\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,A\,b^2\,c\,d\,x}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{9\,B\,b^2\,c\,d\,x}{4\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,a\,b\,c\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,a\,b\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{3\,B\,b^2\,c\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^3\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}-\frac{A\,b\,d^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,6{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}-\frac{B\,b\,d^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,3{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(3*B*b*d^2*log((e*(a + b*x))/(c + d*x))^2)/(2*g^3*i^2*(a*d - b*c)^4) - (A*b*d^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*6i)/(g^3*i^2*(a*d - b*c)^4) - (B*b*d^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*3i)/(g^3*i^2*(a*d - b*c)^4) - (A*a^2*d^2)/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) + (A*b^2*c^2)/(2*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) + (B*a^2*d^2)/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) + (B*b^2*c^2)/(4*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (B*a*d*log((e*(a + b*x))/(c + d*x)))/(g^3*i^2*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)) - (B*b*c*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i^2*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)) - (3*A*b^2*d^2*x^2)/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*b^2*d^2*x^2)/(2*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (5*A*a*b*c*d)/(2*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (11*B*a*b*c*d)/(4*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*b*d*x*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i^2*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)) - (3*B*b^2*d^2*x^2*log((e*(a + b*x))/(c + d*x)))/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (9*A*a*b*d^2*x)/(2*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*a*b*d^2*x)/(4*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*A*b^2*c*d*x)/(2*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (9*B*b^2*c*d*x)/(4*g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*a*b*c*d*log((e*(a + b*x))/(c + d*x)))/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*a*b*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x)) - (3*B*b^2*c*d*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^2*(a*d - b*c)^3*(a + b*x)^2*(c + d*x))","B"
46,1,1679,457,12.437682,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x)","\frac{2\,B\,b\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{4\,B}{3\,g^4\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B\,b\,d^3\,\left(\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)\,\left(a\,d+b\,c\right)+\frac{a\,c\,\left(a\,d-b\,c\right)}{d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{B\,\left(3\,a\,d+b\,c\right)}{3\,g^4\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{4\,B\,b^2\,d^2\,x^3}{g^4\,i^2\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{4\,B\,b\,d^3\,x^2\,\left(b\,d\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{4\,B\,a\,b\,c\,d^3\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{b^2\,x^4+\frac{a^3\,c}{b\,d}+\frac{x\,\left(d\,a^3+3\,b\,c\,a^2\right)}{b\,d}+\frac{x^3\,\left(c\,b^3+3\,a\,d\,b^2\right)}{b\,d}+\frac{x^2\,\left(3\,d\,a^2\,b+3\,c\,a\,b^2\right)}{b\,d}}-\frac{\frac{9\,A\,a^3\,d^3+3\,A\,b^3\,c^3-9\,B\,a^3\,d^3+B\,b^3\,c^3-15\,A\,a\,b^2\,c^2\,d+39\,A\,a^2\,b\,c\,d^2-8\,B\,a\,b^2\,c^2\,d+46\,B\,a^2\,b\,c\,d^2}{3\,\left(a\,d-b\,c\right)}+\frac{x\,\left(66\,A\,a^2\,b\,d^3+19\,B\,a^2\,b\,d^3-6\,A\,b^3\,c^2\,d-5\,B\,b^3\,c^2\,d+48\,A\,a\,b^2\,c\,d^2+76\,B\,a\,b^2\,c\,d^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(30\,A\,a\,b^2\,d^3+19\,B\,a\,b^2\,d^3+6\,A\,b^3\,c\,d^2+11\,B\,b^3\,c\,d^2\right)}{a\,d-b\,c}+\frac{2\,x^3\,\left(6\,A\,b^3\,d^3+5\,B\,b^3\,d^3\right)}{a\,d-b\,c}}{x\,\left(3\,a^6\,d^4\,g^4\,i^2-18\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+24\,a^3\,b^3\,c^3\,d\,g^4\,i^2-9\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-9\,a^5\,b\,d^4\,g^4\,i^2+18\,a^4\,b^2\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^3\,d\,g^4\,i^2+9\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-9\,a^4\,b^2\,d^4\,g^4\,i^2+24\,a^3\,b^3\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+3\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(3\,a^3\,b^3\,d^4\,g^4\,i^2-9\,a^2\,b^4\,c\,d^3\,g^4\,i^2+9\,a\,b^5\,c^2\,d^2\,g^4\,i^2-3\,b^6\,c^3\,d\,g^4\,i^2\right)-3\,a^3\,b^3\,c^4\,g^4\,i^2+3\,a^6\,c\,d^3\,g^4\,i^2+9\,a^4\,b^2\,c^3\,d\,g^4\,i^2-9\,a^5\,b\,c^2\,d^2\,g^4\,i^2}-\frac{b\,d^3\,\mathrm{atan}\left(\frac{b\,d^3\,\left(\frac{a^5\,d^5\,g^4\,i^2-3\,a^4\,b\,c\,d^4\,g^4\,i^2+2\,a^3\,b^2\,c^2\,d^3\,g^4\,i^2+2\,a^2\,b^3\,c^3\,d^2\,g^4\,i^2-3\,a\,b^4\,c^4\,d\,g^4\,i^2+b^5\,c^5\,g^4\,i^2}{a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2}+2\,b\,d\,x\right)\,\left(6\,A+5\,B\right)\,\left(a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2\right)\,2{}\mathrm{i}}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^5\,\left(12\,A\,b\,d^3+10\,B\,b\,d^3\right)}\right)\,\left(6\,A+5\,B\right)\,4{}\mathrm{i}}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"(2*B*b*d^3*log((e*(a + b*x))/(c + d*x))^2)/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (log((e*(a + b*x))/(c + d*x))*(x*((4*B)/(3*g^4*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B*b*d^3*(((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2))*(a*d + b*c) + (a*c*(a*d - b*c))/d^2))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + (B*(3*a*d + b*c))/(3*g^4*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (4*B*b^2*d^2*x^3)/(g^4*i^2*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (4*B*b*d^3*x^2*(b*d*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + ((a*d + b*c)*(a*d - b*c))/d^2))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (4*B*a*b*c*d^3*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/(b^2*x^4 + (a^3*c)/(b*d) + (x*(a^3*d + 3*a^2*b*c))/(b*d) + (x^3*(b^3*c + 3*a*b^2*d))/(b*d) + (x^2*(3*a*b^2*c + 3*a^2*b*d))/(b*d)) - (b*d^3*atan((b*d^3*((a^5*d^5*g^4*i^2 + b^5*c^5*g^4*i^2 - 3*a*b^4*c^4*d*g^4*i^2 - 3*a^4*b*c*d^4*g^4*i^2 + 2*a^2*b^3*c^3*d^2*g^4*i^2 + 2*a^3*b^2*c^2*d^3*g^4*i^2)/(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2) + 2*b*d*x)*(6*A + 5*B)*(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2)*2i)/(g^4*i^2*(a*d - b*c)^5*(12*A*b*d^3 + 10*B*b*d^3)))*(6*A + 5*B)*4i)/(3*g^4*i^2*(a*d - b*c)^5) - ((9*A*a^3*d^3 + 3*A*b^3*c^3 - 9*B*a^3*d^3 + B*b^3*c^3 - 15*A*a*b^2*c^2*d + 39*A*a^2*b*c*d^2 - 8*B*a*b^2*c^2*d + 46*B*a^2*b*c*d^2)/(3*(a*d - b*c)) + (x*(66*A*a^2*b*d^3 + 19*B*a^2*b*d^3 - 6*A*b^3*c^2*d - 5*B*b^3*c^2*d + 48*A*a*b^2*c*d^2 + 76*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (x^2*(30*A*a*b^2*d^3 + 19*B*a*b^2*d^3 + 6*A*b^3*c*d^2 + 11*B*b^3*c*d^2))/(a*d - b*c) + (2*x^3*(6*A*b^3*d^3 + 5*B*b^3*d^3))/(a*d - b*c))/(x*(3*a^6*d^4*g^4*i^2 - 9*a^2*b^4*c^4*g^4*i^2 + 24*a^3*b^3*c^3*d*g^4*i^2 - 18*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(9*a*b^5*c^4*g^4*i^2 - 9*a^5*b*d^4*g^4*i^2 - 18*a^2*b^4*c^3*d*g^4*i^2 + 18*a^4*b^2*c*d^3*g^4*i^2) - x^3*(3*b^6*c^4*g^4*i^2 - 9*a^4*b^2*d^4*g^4*i^2 + 24*a^3*b^3*c*d^3*g^4*i^2 - 18*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(3*a^3*b^3*d^4*g^4*i^2 - 3*b^6*c^3*d*g^4*i^2 + 9*a*b^5*c^2*d^2*g^4*i^2 - 9*a^2*b^4*c*d^3*g^4*i^2) - 3*a^3*b^3*c^4*g^4*i^2 + 3*a^6*c*d^3*g^4*i^2 + 9*a^4*b^2*c^3*d*g^4*i^2 - 9*a^5*b*c^2*d^2*g^4*i^2)","B"
47,0,-1,361,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^3, x)","F"
48,0,-1,251,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^3, x)","F"
49,1,198,85,5.626440,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))))/(c*i + d*i*x)^3,x)","-\frac{x\,\left(2\,A\,b\,d\,g-B\,b\,d\,g\right)+A\,a\,d\,g+A\,b\,c\,g-\frac{B\,a\,d\,g}{2}-\frac{B\,b\,c\,g}{2}}{2\,c^2\,d^2\,i^3+4\,c\,d^3\,i^3\,x+2\,d^4\,i^3\,x^2}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,a\,g}{2\,d^2\,i^3}+\frac{B\,b\,c\,g}{2\,d^3\,i^3}+\frac{B\,b\,g\,x}{d^2\,i^3}\right)}{2\,c\,x+d\,x^2+\frac{c^2}{d}}+\frac{B\,b^2\,g\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d^2\,i^3\,\left(a\,d-b\,c\right)}","Not used",1,"(B*b^2*g*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*1i)/(d^2*i^3*(a*d - b*c)) - (log((e*(a + b*x))/(c + d*x))*((B*a*g)/(2*d^2*i^3) + (B*b*c*g)/(2*d^3*i^3) + (B*b*g*x)/(d^2*i^3)))/(2*c*x + d*x^2 + c^2/d) - (x*(2*A*b*d*g - B*b*d*g) + A*a*d*g + A*b*c*g - (B*a*d*g)/2 - (B*b*c*g)/2)/(2*c^2*d^2*i^3 + 2*d^4*i^3*x^2 + 4*c*d^3*i^3*x)","B"
50,1,208,144,5.432933,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(c*i + d*i*x)^3,x)","\frac{B\,b^2\,\mathrm{atanh}\left(\frac{2\,a^2\,d^3\,i^3-2\,b^2\,c^2\,d\,i^3}{2\,d\,i^3\,{\left(a\,d-b\,c\right)}^2}+\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{d\,i^3\,{\left(a\,d-b\,c\right)}^2}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,d^2\,i^3\,\left(2\,c\,x+d\,x^2+\frac{c^2}{d}\right)}-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c-B\,a\,d+3\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,x}{a\,d-b\,c}}{2\,c^2\,d\,i^3+4\,c\,d^2\,i^3\,x+2\,d^3\,i^3\,x^2}","Not used",1,"(B*b^2*atanh((2*a^2*d^3*i^3 - 2*b^2*c^2*d*i^3)/(2*d*i^3*(a*d - b*c)^2) + (2*b*d*x)/(a*d - b*c)))/(d*i^3*(a*d - b*c)^2) - (B*log((e*(a + b*x))/(c + d*x)))/(2*d^2*i^3*(2*c*x + d*x^2 + c^2/d)) - ((2*A*a*d - 2*A*b*c - B*a*d + 3*B*b*c)/(2*(a*d - b*c)) + (B*b*d*x)/(a*d - b*c))/(2*c^2*d*i^3 + 2*d^3*i^3*x^2 + 4*c*d^2*i^3*x)","B"
51,1,545,243,7.084080,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)*(c*i + d*i*x)^3),x)","\frac{3\,A\,b\,c}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{A\,a\,d}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{B\,b^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^3}+\frac{B\,a\,d}{4\,g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{7\,B\,b\,c}{4\,g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{B\,a^2\,d^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b^2\,c^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^2}+\frac{A\,b\,d\,x}{g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b\,d\,x}{2\,g\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{B\,a\,b\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^2}-\frac{B\,b^2\,c\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^2}+\frac{2\,B\,a\,b\,c\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,{\left(c+d\,x\right)}^2}+\frac{A\,b^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3}-\frac{B\,b^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,3{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(A*b^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g*i^3*(a*d - b*c)^3) - (B*b^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*3i)/(g*i^3*(a*d - b*c)^3) - (B*b^2*log((e*(a + b*x))/(c + d*x))^2)/(2*g*i^3*(a*d - b*c)^3) - (A*a*d)/(2*g*i^3*(a*d - b*c)^2*(c + d*x)^2) + (3*A*b*c)/(2*g*i^3*(a*d - b*c)^2*(c + d*x)^2) + (B*a*d)/(4*g*i^3*(a*d - b*c)^2*(c + d*x)^2) - (7*B*b*c)/(4*g*i^3*(a*d - b*c)^2*(c + d*x)^2) - (B*a^2*d^2*log((e*(a + b*x))/(c + d*x)))/(2*g*i^3*(a*d - b*c)^3*(c + d*x)^2) - (3*B*b^2*c^2*log((e*(a + b*x))/(c + d*x)))/(2*g*i^3*(a*d - b*c)^3*(c + d*x)^2) + (A*b*d*x)/(g*i^3*(a*d - b*c)^2*(c + d*x)^2) - (3*B*b*d*x)/(2*g*i^3*(a*d - b*c)^2*(c + d*x)^2) + (B*a*b*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g*i^3*(a*d - b*c)^3*(c + d*x)^2) - (B*b^2*c*d*x*log((e*(a + b*x))/(c + d*x)))/(g*i^3*(a*d - b*c)^3*(c + d*x)^2) + (2*B*a*b*c*d*log((e*(a + b*x))/(c + d*x)))/(g*i^3*(a*d - b*c)^3*(c + d*x)^2)","B"
52,1,983,365,9.293182,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x)","\frac{A\,b^2\,c^2}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{A\,a^2\,d^2}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b^2\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}+\frac{B\,a^2\,d^2}{4\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{B\,b^2\,c^2}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{B\,a\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{B\,b\,c\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,A\,b^2\,d^2\,x^2}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b^2\,d^2\,x^2}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{5\,A\,a\,b\,c\,d}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{11\,B\,a\,b\,c\,d}{4\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,b^2\,d^2\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,A\,a\,b\,d^2\,x}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{9\,B\,a\,b\,d^2\,x}{4\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{9\,A\,b^2\,c\,d\,x}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b^2\,c\,d\,x}{4\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,a\,b\,c\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,a\,b\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,b^2\,c\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a+b\,x\right)\,{\left(c+d\,x\right)}^2}+\frac{A\,b^2\,d\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,6{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}-\frac{B\,b^2\,d\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,3{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(A*b^2*d*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*6i)/(g^2*i^3*(a*d - b*c)^4) - (3*B*b^2*d*log((e*(a + b*x))/(c + d*x))^2)/(2*g^2*i^3*(a*d - b*c)^4) - (B*b^2*d*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*3i)/(g^2*i^3*(a*d - b*c)^4) - (A*a^2*d^2)/(2*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (A*b^2*c^2)/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (B*a^2*d^2)/(4*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (B*b^2*c^2)/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (B*a*d*log((e*(a + b*x))/(c + d*x)))/(2*g^2*i^3*(a*d - b*c)^2*(a + b*x)*(c + d*x)^2) - (B*b*c*log((e*(a + b*x))/(c + d*x)))/(g^2*i^3*(a*d - b*c)^2*(a + b*x)*(c + d*x)^2) + (3*A*b^2*d^2*x^2)/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (3*B*b^2*d^2*x^2)/(2*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (5*A*a*b*c*d)/(2*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (11*B*a*b*c*d)/(4*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (3*B*b*d*x*log((e*(a + b*x))/(c + d*x)))/(2*g^2*i^3*(a*d - b*c)^2*(a + b*x)*(c + d*x)^2) + (3*B*b^2*d^2*x^2*log((e*(a + b*x))/(c + d*x)))/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (3*A*a*b*d^2*x)/(2*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (9*B*a*b*d^2*x)/(4*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (9*A*b^2*c*d*x)/(2*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) - (3*B*b^2*c*d*x)/(4*g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (3*B*a*b*c*d*log((e*(a + b*x))/(c + d*x)))/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (3*B*a*b*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2) + (3*B*b^2*c*d*x*log((e*(a + b*x))/(c + d*x)))/(g^2*i^3*(a*d - b*c)^3*(a + b*x)*(c + d*x)^2)","B"
53,1,1443,463,12.777184,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x)","\frac{B\,a^3\,d^3}{4\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{A\,a^3\,d^3}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{A\,b^3\,c^3}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,b^2\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}-\frac{B\,b^3\,c^3}{4\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{B\,a\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{B\,b\,c\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{6\,A\,b^3\,d^3\,x^3}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{7\,A\,a\,b^2\,c^2\,d}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{7\,A\,a^2\,b\,c\,d^2}{2\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{15\,B\,a\,b^2\,c^2\,d}{4\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{15\,B\,a^2\,b\,c\,d^2}{4\,g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{2\,A\,a^2\,b\,d^3\,x}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,a^2\,b\,d^3\,x}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{2\,A\,b^3\,c^2\,d\,x}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,b^3\,c^2\,d\,x}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{9\,A\,a\,b^2\,d^3\,x^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{3\,B\,a\,b^2\,d^3\,x^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{9\,A\,b^3\,c\,d^2\,x^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,b^3\,c\,d^2\,x^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}-\frac{B\,b\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{6\,B\,b^3\,d^3\,x^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{9\,B\,a\,b^2\,d^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{9\,B\,b^3\,c\,d^2\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{14\,A\,a\,b^2\,c\,d^2\,x}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,a\,b^2\,c^2\,d\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,a^2\,b\,c\,d^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,a^2\,b\,d^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{3\,B\,b^3\,c^2\,d\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{12\,B\,a\,b^2\,c\,d^2\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^4\,{\left(a+b\,x\right)}^2\,{\left(c+d\,x\right)}^2}+\frac{A\,b^2\,d^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,12{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"(A*b^2*d^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*12i)/(g^3*i^3*(a*d - b*c)^5) - (3*B*b^2*d^2*log((e*(a + b*x))/(c + d*x))^2)/(g^3*i^3*(a*d - b*c)^5) - (A*a^3*d^3)/(2*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (A*b^3*c^3)/(2*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (B*a^3*d^3)/(4*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (B*b^3*c^3)/(4*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (B*a*d*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i^3*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)^2) - (B*b*c*log((e*(a + b*x))/(c + d*x)))/(2*g^3*i^3*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)^2) + (6*A*b^3*d^3*x^3)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (7*A*a*b^2*c^2*d)/(2*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (7*A*a^2*b*c*d^2)/(2*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (15*B*a*b^2*c^2*d)/(4*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (15*B*a^2*b*c*d^2)/(4*g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (2*A*a^2*b*d^3*x)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (3*B*a^2*b*d^3*x)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (2*A*b^3*c^2*d*x)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*b^3*c^2*d*x)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (9*A*a*b^2*d^3*x^2)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (3*B*a*b^2*d^3*x^2)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (9*A*b^3*c*d^2*x^2)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*b^3*c*d^2*x^2)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) - (B*b*d*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^2*(a + b*x)^2*(c + d*x)^2) + (6*B*b^3*d^3*x^3*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (9*B*a*b^2*d^3*x^2*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (9*B*b^3*c*d^2*x^2*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (14*A*a*b^2*c*d^2*x)/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*a*b^2*c^2*d*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*a^2*b*c*d^2*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*a^2*b*d^3*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (3*B*b^3*c^2*d*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2) + (12*B*a*b^2*c*d^2*x*log((e*(a + b*x))/(c + d*x)))/(g^3*i^3*(a*d - b*c)^4*(a + b*x)^2*(c + d*x)^2)","B"
54,1,2291,563,16.593517,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x)","\frac{\frac{12\,A\,b^4\,c^4-18\,A\,a^4\,d^4+9\,B\,a^4\,d^4+4\,B\,b^4\,c^4+282\,A\,a^2\,b^2\,c^2\,d^2+319\,B\,a^2\,b^2\,c^2\,d^2-78\,A\,a\,b^3\,c^3\,d+162\,A\,a^3\,b\,c\,d^3-41\,B\,a\,b^3\,c^3\,d-171\,B\,a^3\,b\,c\,d^3}{6\,\left(a\,d-b\,c\right)}+\frac{10\,x^2\,\left(33\,A\,a^2\,b^2\,d^4-7\,B\,a^2\,b^2\,d^4+6\,A\,b^4\,c^2\,d^2+11\,B\,b^4\,c^2\,d^2+69\,A\,a\,b^3\,c\,d^3+32\,B\,a\,b^3\,c\,d^3\right)}{3\,\left(a\,d-b\,c\right)}+\frac{5\,x\,\left(18\,A\,a^3\,b\,d^4-27\,B\,a^3\,b\,d^4-6\,A\,b^4\,c^3\,d-5\,B\,b^4\,c^3\,d+66\,A\,a\,b^3\,c^2\,d^2+210\,A\,a^2\,b^2\,c\,d^3+103\,B\,a\,b^3\,c^2\,d^2+25\,B\,a^2\,b^2\,c\,d^3\right)}{6\,\left(a\,d-b\,c\right)}+\frac{10\,x^3\,\left(15\,A\,a\,b^3\,d^4+2\,B\,a\,b^3\,d^4+9\,A\,b^4\,c\,d^3+6\,B\,b^4\,c\,d^3\right)}{a\,d-b\,c}+\frac{20\,x^4\,\left(3\,A\,b^4\,d^4+B\,b^4\,d^4\right)}{a\,d-b\,c}}{x^5\,\left(6\,a^4\,b^3\,d^6\,g^4\,i^3-24\,a^3\,b^4\,c\,d^5\,g^4\,i^3+36\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-24\,a\,b^6\,c^3\,d^3\,g^4\,i^3+6\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(12\,a^7\,c\,d^5\,g^4\,i^3-30\,a^6\,b\,c^2\,d^4\,g^4\,i^3+60\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-60\,a^3\,b^4\,c^5\,d\,g^4\,i^3+18\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(6\,a^7\,d^6\,g^4\,i^3+12\,a^6\,b\,c\,d^5\,g^4\,i^3-90\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+120\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-30\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-36\,a^2\,b^5\,c^5\,d\,g^4\,i^3+18\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(18\,a^6\,b\,d^6\,g^4\,i^3-36\,a^5\,b^2\,c\,d^5\,g^4\,i^3-30\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+120\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-90\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+12\,a\,b^6\,c^5\,d\,g^4\,i^3+6\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(18\,a^5\,b^2\,d^6\,g^4\,i^3-60\,a^4\,b^3\,c\,d^5\,g^4\,i^3+60\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-30\,a\,b^6\,c^4\,d^2\,g^4\,i^3+12\,b^7\,c^5\,d\,g^4\,i^3\right)+6\,a^3\,b^4\,c^6\,g^4\,i^3+6\,a^7\,c^2\,d^4\,g^4\,i^3-24\,a^4\,b^3\,c^5\,d\,g^4\,i^3-24\,a^6\,b\,c^3\,d^3\,g^4\,i^3+36\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3}+\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(\frac{5\,B\,b\,d\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B\,b\,d\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{10\,B\,b^2\,d^3\,\left(\frac{2\,a\,c\,\left(a\,d-b\,c\right)}{d}+\frac{{\left(a\,d+b\,c\right)}^2\,\left(a\,d-b\,c\right)}{b\,d^2}\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x^3\,\left(\frac{5\,B\,b^2\,d^2}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B\,b^2\,d^2\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x\,\left(\frac{5\,B\,\left(a\,d+b\,c\right)\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{5\,B}{6\,g^4\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B\,a\,b\,c\,d}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B\,a\,b\,c\,d\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{B\,\left(3\,a\,d+2\,b\,c\right)}{6\,g^4\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{5\,B\,a\,c\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{10\,B\,b^3\,d^3\,x^4}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{10\,B\,a^2\,b\,c^2\,d}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{b^2\,d\,x^5+\frac{x^4\,\left(2\,c\,b^3\,d+3\,a\,b^2\,d^2\right)}{b\,d}+\frac{a^3\,c^2}{b\,d}+\frac{x^2\,\left(a^3\,d^2+6\,a^2\,b\,c\,d+3\,a\,b^2\,c^2\right)}{b\,d}+\frac{x^3\,\left(3\,a^2\,b\,d^2+6\,a\,b^2\,c\,d+b^3\,c^2\right)}{b\,d}+\frac{x\,\left(2\,d\,a^3\,c+3\,b\,a^2\,c^2\right)}{b\,d}}-\frac{5\,B\,b^2\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b^2\,d^3\,\mathrm{atan}\left(\frac{b^2\,d^3\,\left(3\,A+B\right)\,\left(\frac{a^6\,d^6\,g^4\,i^3-4\,a^5\,b\,c\,d^5\,g^4\,i^3+5\,a^4\,b^2\,c^2\,d^4\,g^4\,i^3-5\,a^2\,b^4\,c^4\,d^2\,g^4\,i^3+4\,a\,b^5\,c^5\,d\,g^4\,i^3-b^6\,c^6\,g^4\,i^3}{a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3}+2\,b\,d\,x\right)\,\left(a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3\right)\,10{}\mathrm{i}}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^6\,\left(30\,A\,b^2\,d^3+10\,B\,b^2\,d^3\right)}\right)\,\left(3\,A+B\right)\,20{}\mathrm{i}}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6}","Not used",1,"((12*A*b^4*c^4 - 18*A*a^4*d^4 + 9*B*a^4*d^4 + 4*B*b^4*c^4 + 282*A*a^2*b^2*c^2*d^2 + 319*B*a^2*b^2*c^2*d^2 - 78*A*a*b^3*c^3*d + 162*A*a^3*b*c*d^3 - 41*B*a*b^3*c^3*d - 171*B*a^3*b*c*d^3)/(6*(a*d - b*c)) + (10*x^2*(33*A*a^2*b^2*d^4 - 7*B*a^2*b^2*d^4 + 6*A*b^4*c^2*d^2 + 11*B*b^4*c^2*d^2 + 69*A*a*b^3*c*d^3 + 32*B*a*b^3*c*d^3))/(3*(a*d - b*c)) + (5*x*(18*A*a^3*b*d^4 - 27*B*a^3*b*d^4 - 6*A*b^4*c^3*d - 5*B*b^4*c^3*d + 66*A*a*b^3*c^2*d^2 + 210*A*a^2*b^2*c*d^3 + 103*B*a*b^3*c^2*d^2 + 25*B*a^2*b^2*c*d^3))/(6*(a*d - b*c)) + (10*x^3*(15*A*a*b^3*d^4 + 2*B*a*b^3*d^4 + 9*A*b^4*c*d^3 + 6*B*b^4*c*d^3))/(a*d - b*c) + (20*x^4*(3*A*b^4*d^4 + B*b^4*d^4))/(a*d - b*c))/(x^5*(6*a^4*b^3*d^6*g^4*i^3 + 6*b^7*c^4*d^2*g^4*i^3 - 24*a*b^6*c^3*d^3*g^4*i^3 - 24*a^3*b^4*c*d^5*g^4*i^3 + 36*a^2*b^5*c^2*d^4*g^4*i^3) + x*(18*a^2*b^5*c^6*g^4*i^3 + 12*a^7*c*d^5*g^4*i^3 - 60*a^3*b^4*c^5*d*g^4*i^3 - 30*a^6*b*c^2*d^4*g^4*i^3 + 60*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(6*a^7*d^6*g^4*i^3 + 18*a*b^6*c^6*g^4*i^3 + 12*a^6*b*c*d^5*g^4*i^3 - 36*a^2*b^5*c^5*d*g^4*i^3 - 30*a^3*b^4*c^4*d^2*g^4*i^3 + 120*a^4*b^3*c^3*d^3*g^4*i^3 - 90*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(6*b^7*c^6*g^4*i^3 + 18*a^6*b*d^6*g^4*i^3 + 12*a*b^6*c^5*d*g^4*i^3 - 36*a^5*b^2*c*d^5*g^4*i^3 - 90*a^2*b^5*c^4*d^2*g^4*i^3 + 120*a^3*b^4*c^3*d^3*g^4*i^3 - 30*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(18*a^5*b^2*d^6*g^4*i^3 + 12*b^7*c^5*d*g^4*i^3 - 30*a*b^6*c^4*d^2*g^4*i^3 - 60*a^4*b^3*c*d^5*g^4*i^3 + 60*a^3*b^4*c^2*d^4*g^4*i^3) + 6*a^3*b^4*c^6*g^4*i^3 + 6*a^7*c^2*d^4*g^4*i^3 - 24*a^4*b^3*c^5*d*g^4*i^3 - 24*a^6*b*c^3*d^3*g^4*i^3 + 36*a^5*b^2*c^4*d^2*g^4*i^3) + (log((e*(a + b*x))/(c + d*x))*(x^2*((5*B*b*d*(a*d + b*c))/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B*b*d*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (10*B*b^2*d^3*((2*a*c*(a*d - b*c))/d + ((a*d + b*c)^2*(a*d - b*c))/(b*d^2)))/(g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x^3*((5*B*b^2*d^2)/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B*b^2*d^2*(a*d + b*c))/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x*((5*B*(a*d + b*c)*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (5*B)/(6*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B*a*b*c*d)/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B*a*b*c*d*(a*d + b*c))/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (B*(3*a*d + 2*b*c))/(6*g^4*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (5*B*a*c*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (10*B*b^3*d^3*x^4)/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (10*B*a^2*b*c^2*d)/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/(b^2*d*x^5 + (x^4*(3*a*b^2*d^2 + 2*b^3*c*d))/(b*d) + (a^3*c^2)/(b*d) + (x^2*(a^3*d^2 + 3*a*b^2*c^2 + 6*a^2*b*c*d))/(b*d) + (x^3*(b^3*c^2 + 3*a^2*b*d^2 + 6*a*b^2*c*d))/(b*d) + (x*(3*a^2*b*c^2 + 2*a^3*c*d))/(b*d)) + (b^2*d^3*atan((b^2*d^3*(3*A + B)*((a^6*d^6*g^4*i^3 - b^6*c^6*g^4*i^3 + 4*a*b^5*c^5*d*g^4*i^3 - 4*a^5*b*c*d^5*g^4*i^3 - 5*a^2*b^4*c^4*d^2*g^4*i^3 + 5*a^4*b^2*c^2*d^4*g^4*i^3)/(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3) + 2*b*d*x)*(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3)*10i)/(g^4*i^3*(a*d - b*c)^6*(30*A*b^2*d^3 + 10*B*b^2*d^3)))*(3*A + B)*20i)/(3*g^4*i^3*(a*d - b*c)^6) - (5*B*b^2*d^3*log((e*(a + b*x))/(c + d*x))^2)/(g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
55,0,-1,539,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
56,0,-1,450,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
57,0,-1,343,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \left(a\,g+b\,g\,x\right)\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
58,0,-1,203,0.000000,"\text{Not used}","int((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
59,0,-1,286,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x),x)","\int \frac{\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x), x)","F"
60,0,-1,241,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2,x)","\int \frac{\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2, x)","F"
61,1,469,141,6.182511,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^3,x)","-\frac{x\,\left(2\,b\,d\,i\,A^2+2\,b\,d\,i\,A\,B+b\,d\,i\,B^2\right)+A^2\,a\,d\,i+A^2\,b\,c\,i+\frac{B^2\,a\,d\,i}{2}+\frac{B^2\,b\,c\,i}{2}+A\,B\,a\,d\,i+A\,B\,b\,c\,i}{2\,a^2\,b^2\,g^3+4\,a\,b^3\,g^3\,x+2\,b^4\,g^3\,x^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{2\,b^2\,g^3}+\frac{B^2\,a\,d\,i}{2\,b^3\,g^3}+\frac{B^2\,d\,i\,x}{b^2\,g^3}}{2\,a\,x+b\,x^2+\frac{a^2}{b}}-\frac{B^2\,d^2\,i}{2\,b^2\,g^3\,\left(a\,d-b\,c\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{B^2\,i}{b^2\,g^3}+\frac{2\,A\,B\,i}{b^2\,g^3}\right)+\frac{A\,B\,a\,i}{b^3\,g^3}+\frac{B\,i\,\left(A\,b\,c-B\,a\,d+B\,b\,c\right)}{b^3\,d\,g^3}+\frac{B^2\,d^2\,i\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)}{b^2\,g^3\,\left(a\,d-b\,c\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-\frac{B\,d^2\,i\,\mathrm{atan}\left(\frac{\left(\frac{2\,c\,b^3\,g^3+2\,a\,d\,b^2\,g^3}{2\,b^2\,g^3}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(2\,A+B\right)\,1{}\mathrm{i}}{b^2\,g^3\,\left(a\,d-b\,c\right)}","Not used",1,"- (x*(2*A^2*b*d*i + B^2*b*d*i + 2*A*B*b*d*i) + A^2*a*d*i + A^2*b*c*i + (B^2*a*d*i)/2 + (B^2*b*c*i)/2 + A*B*a*d*i + A*B*b*c*i)/(2*a^2*b^2*g^3 + 2*b^4*g^3*x^2 + 4*a*b^3*g^3*x) - log((e*(a + b*x))/(c + d*x))^2*(((B^2*c*i)/(2*b^2*g^3) + (B^2*a*d*i)/(2*b^3*g^3) + (B^2*d*i*x)/(b^2*g^3))/(2*a*x + b*x^2 + a^2/b) - (B^2*d^2*i)/(2*b^2*g^3*(a*d - b*c))) - (log((e*(a + b*x))/(c + d*x))*(x*((B^2*i)/(b^2*g^3) + (2*A*B*i)/(b^2*g^3)) + (A*B*a*i)/(b^3*g^3) + (B*i*(A*b*c - B*a*d + B*b*c))/(b^3*d*g^3) + (B^2*d^2*i*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)))/(b^2*g^3*(a*d - b*c))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - (B*d^2*i*atan((((2*b^3*c*g^3 + 2*a*b^2*d*g^3)/(2*b^2*g^3) + 2*b*d*x)*1i)/(a*d - b*c))*(2*A + B)*1i)/(b^2*g^3*(a*d - b*c))","B"
62,1,955,287,7.701004,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^4,x)","-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{3\,b^2\,g^4}+\frac{B^2\,a\,d\,i}{6\,b^3\,g^4}+\frac{B^2\,d\,i\,x}{2\,b^2\,g^4}}{3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2}-\frac{B^2\,d^3\,i}{6\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{18\,i\,A^2\,a^2\,d^2+18\,i\,A^2\,a\,b\,c\,d-36\,i\,A^2\,b^2\,c^2+30\,i\,A\,B\,a^2\,d^2+30\,i\,A\,B\,a\,b\,c\,d-24\,i\,A\,B\,b^2\,c^2+19\,i\,B^2\,a^2\,d^2+19\,i\,B^2\,a\,b\,c\,d-8\,i\,B^2\,b^2\,c^2}{6\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(5\,i\,B^2\,b^2\,d^2+6\,A\,i\,B\,b^2\,d^2\right)}{a\,d-b\,c}+\frac{x\,\left(-18\,c\,i\,A^2\,b^2\,d+18\,a\,i\,A^2\,b\,d^2-6\,c\,i\,A\,B\,b^2\,d+30\,a\,i\,A\,B\,b\,d^2+c\,i\,B^2\,b^2\,d+19\,a\,i\,B^2\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}}{18\,a^3\,b^2\,g^4+54\,a^2\,b^3\,g^4\,x+54\,a\,b^4\,g^4\,x^2+18\,b^5\,g^4\,x^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{A\,B\,i}{b^2\,g^4}+\frac{B^2\,d^3\,i\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{A\,B\,a\,i}{3\,b^3\,g^4}+\frac{B\,i\,\left(2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,b^3\,d\,g^4}+\frac{B^2\,d^3\,i\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3}{3\,b\,d^4}\right)}{3\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,d^3\,i\,x^2\,\left(\frac{b^2\,c-a\,b\,d}{3\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{3\,a^2\,x}{d}+\frac{a^3}{b\,d}+\frac{b^2\,x^3}{d}+\frac{3\,a\,b\,x^2}{d}}-\frac{B\,d^3\,i\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{18\,b^4\,c^2\,g^4-18\,a^2\,b^2\,d^2\,g^4}{18\,b^2\,g^4\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(6\,A+5\,B\right)\,1{}\mathrm{i}}{9\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log((e*(a + b*x))/(c + d*x))^2*(((B^2*c*i)/(3*b^2*g^4) + (B^2*a*d*i)/(6*b^3*g^4) + (B^2*d*i*x)/(2*b^2*g^4))/(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2) - (B^2*d^3*i)/(6*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((18*A^2*a^2*d^2*i - 36*A^2*b^2*c^2*i + 19*B^2*a^2*d^2*i - 8*B^2*b^2*c^2*i + 30*A*B*a^2*d^2*i - 24*A*B*b^2*c^2*i + 18*A^2*a*b*c*d*i + 19*B^2*a*b*c*d*i + 30*A*B*a*b*c*d*i)/(6*(a*d - b*c)) + (x^2*(5*B^2*b^2*d^2*i + 6*A*B*b^2*d^2*i))/(a*d - b*c) + (x*(18*A^2*a*b*d^2*i + 19*B^2*a*b*d^2*i - 18*A^2*b^2*c*d*i + B^2*b^2*c*d*i + 30*A*B*a*b*d^2*i - 6*A*B*b^2*c*d*i))/(2*(a*d - b*c)))/(18*a^3*b^2*g^4 + 18*b^5*g^4*x^3 + 54*a^2*b^3*g^4*x + 54*a*b^4*g^4*x^2) - (log((e*(a + b*x))/(c + d*x))*(x*((A*B*i)/(b^2*g^4) + (B^2*d^3*i*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*d^3) + (2*a*(a*d - b*c))/(3*d^2)))/(3*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (A*B*a*i)/(3*b^3*g^4) + (B*i*(2*A*b*c - B*a*d + B*b*c))/(3*b^3*d*g^4) + (B^2*d^3*i*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2)/(3*b*d^4)))/(3*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*d^3*i*x^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2)))/(3*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*i*atan(((2*b*d*x - (18*b^4*c^2*g^4 - 18*a^2*b^2*d^2*g^4)/(18*b^2*g^4*(a*d - b*c)))*1i)/(a*d - b*c))*(6*A + 5*B)*1i)/(9*b^2*g^4*(a*d - b*c)^2)","B"
63,1,1870,445,10.819888,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^5,x)","\frac{\frac{72\,i\,A^2\,a^3\,d^3+72\,i\,A^2\,a^2\,b\,c\,d^2-360\,i\,A^2\,a\,b^2\,c^2\,d+216\,i\,A^2\,b^3\,c^3+156\,i\,A\,B\,a^3\,d^3+156\,i\,A\,B\,a^2\,b\,c\,d^2-276\,i\,A\,B\,a\,b^2\,c^2\,d+108\,i\,A\,B\,b^3\,c^3+115\,i\,B^2\,a^3\,d^3+115\,i\,B^2\,a^2\,b\,c\,d^2-101\,i\,B^2\,a\,b^2\,c^2\,d+27\,i\,B^2\,b^3\,c^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-c\,i\,B^2\,b^3\,d^2+79\,a\,i\,B^2\,b^2\,d^3-12\,A\,c\,i\,B\,b^3\,d^2+84\,A\,a\,i\,B\,b^2\,d^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(72\,i\,A^2\,a^2\,b\,d^3-144\,i\,A^2\,a\,b^2\,c\,d^2+72\,i\,A^2\,b^3\,c^2\,d+156\,i\,A\,B\,a^2\,b\,d^3-60\,i\,A\,B\,a\,b^2\,c\,d^2+12\,i\,A\,B\,b^3\,c^2\,d+115\,i\,B^2\,a^2\,b\,d^3+7\,i\,B^2\,a\,b^2\,c\,d^2-5\,i\,B^2\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(13\,i\,B^2\,b^3\,d^2+12\,A\,i\,B\,b^3\,d^2\right)}{a\,d-b\,c}}{x\,\left(288\,a^3\,b^4\,c\,g^5-288\,a^4\,b^3\,d\,g^5\right)-x^3\,\left(288\,a^2\,b^5\,d\,g^5-288\,a\,b^6\,c\,g^5\right)+x^4\,\left(72\,b^7\,c\,g^5-72\,a\,b^6\,d\,g^5\right)+x^2\,\left(432\,a^2\,b^5\,c\,g^5-432\,a^3\,b^4\,d\,g^5\right)+72\,a^4\,b^3\,c\,g^5-72\,a^5\,b^2\,d\,g^5}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{4\,b^2\,g^5}+\frac{B^2\,a\,d\,i}{12\,b^3\,g^5}+\frac{B^2\,d\,i\,x}{3\,b^2\,g^5}}{4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3}-\frac{B^2\,d^4\,i}{12\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{2\,A\,B\,i}{3\,b^2\,g^5}+\frac{B^2\,d^4\,i\,\left(b\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{12\,b\,d^4}\right)+a\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{4\,d^4}\right)}{6\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{A\,B\,a\,i}{6\,b^3\,g^5}+\frac{B\,i\,\left(3\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{6\,b^3\,d\,g^5}+\frac{B^2\,d^4\,i\,\left(a\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{12\,b\,d^4}\right)+\frac{4\,a^4\,d^4-10\,a^3\,b\,c\,d^3+10\,a^2\,b^2\,c^2\,d^2-5\,a\,b^3\,c^3\,d+b^4\,c^4}{4\,b\,d^5}\right)}{6\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{B^2\,d^4\,i\,x^2\,\left(b\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{4\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{4\,a^2\,b\,d^2-5\,a\,b^2\,c\,d+b^3\,c^2}{4\,d^3}\right)}{6\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2\,d^4\,i\,x^3\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{4\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{4\,d^2}\right)}{6\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{\frac{4\,a^3\,x}{d}+\frac{a^4}{b\,d}+\frac{b^3\,x^4}{d}+\frac{6\,a^2\,b\,x^2}{d}+\frac{4\,a\,b^2\,x^3}{d}}-\frac{B\,d^4\,i\,\mathrm{atan}\left(\frac{B\,d^4\,i\,\left(12\,A+13\,B\right)\,\left(72\,a^3\,b^2\,d^3\,g^5-72\,a^2\,b^3\,c\,d^2\,g^5-72\,a\,b^4\,c^2\,d\,g^5+72\,b^5\,c^3\,g^5\right)\,1{}\mathrm{i}}{72\,b^2\,g^5\,\left(13\,i\,B^2\,d^4+12\,A\,i\,B\,d^4\right)\,{\left(a\,d-b\,c\right)}^3}+\frac{B\,d^5\,i\,x\,\left(12\,A+13\,B\right)\,\left(a^2\,b^2\,d^2\,g^5-2\,a\,b^3\,c\,d\,g^5+b^4\,c^2\,g^5\right)\,2{}\mathrm{i}}{b\,g^5\,\left(13\,i\,B^2\,d^4+12\,A\,i\,B\,d^4\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(12\,A+13\,B\right)\,1{}\mathrm{i}}{36\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((72*A^2*a^3*d^3*i + 216*A^2*b^3*c^3*i + 115*B^2*a^3*d^3*i + 27*B^2*b^3*c^3*i + 156*A*B*a^3*d^3*i + 108*A*B*b^3*c^3*i - 360*A^2*a*b^2*c^2*d*i + 72*A^2*a^2*b*c*d^2*i - 101*B^2*a*b^2*c^2*d*i + 115*B^2*a^2*b*c*d^2*i - 276*A*B*a*b^2*c^2*d*i + 156*A*B*a^2*b*c*d^2*i)/(12*(a*d - b*c)) + (x^2*(79*B^2*a*b^2*d^3*i - B^2*b^3*c*d^2*i + 84*A*B*a*b^2*d^3*i - 12*A*B*b^3*c*d^2*i))/(2*(a*d - b*c)) + (x*(72*A^2*a^2*b*d^3*i + 115*B^2*a^2*b*d^3*i + 72*A^2*b^3*c^2*d*i - 5*B^2*b^3*c^2*d*i + 156*A*B*a^2*b*d^3*i + 12*A*B*b^3*c^2*d*i - 144*A^2*a*b^2*c*d^2*i + 7*B^2*a*b^2*c*d^2*i - 60*A*B*a*b^2*c*d^2*i))/(3*(a*d - b*c)) + (d*x^3*(13*B^2*b^3*d^2*i + 12*A*B*b^3*d^2*i))/(a*d - b*c))/(x*(288*a^3*b^4*c*g^5 - 288*a^4*b^3*d*g^5) - x^3*(288*a^2*b^5*d*g^5 - 288*a*b^6*c*g^5) + x^4*(72*b^7*c*g^5 - 72*a*b^6*d*g^5) + x^2*(432*a^2*b^5*c*g^5 - 432*a^3*b^4*d*g^5) + 72*a^4*b^3*c*g^5 - 72*a^5*b^2*d*g^5) - log((e*(a + b*x))/(c + d*x))^2*(((B^2*c*i)/(4*b^2*g^5) + (B^2*a*d*i)/(12*b^3*g^5) + (B^2*d*i*x)/(3*b^2*g^5))/(4*a^3*x + a^4/b + b^3*x^4 + 6*a^2*b*x^2 + 4*a*b^2*x^3) - (B^2*d^4*i)/(12*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (log((e*(a + b*x))/(c + d*x))*(x*((2*A*B*i)/(3*b^2*g^5) + (B^2*d^4*i*(b*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(12*b*d^4)) + a*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*d^3) + (a*(a*d - b*c))/(2*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(4*d^4)))/(6*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + (A*B*a*i)/(6*b^3*g^5) + (B*i*(3*A*b*c - B*a*d + B*b*c))/(6*b^3*d*g^5) + (B^2*d^4*i*(a*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(12*b*d^4)) + (4*a^4*d^4 + b^4*c^4 + 10*a^2*b^2*c^2*d^2 - 5*a*b^3*c^3*d - 10*a^3*b*c*d^3)/(4*b*d^5)))/(6*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B^2*d^4*i*x^2*(b*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*d^3) + (a*(a*d - b*c))/(2*d^2)) - a*((b^2*c - a*b*d)/(4*d^2) - (b*(a*d - b*c))/(2*d^2)) + (b^3*c^2 + 4*a^2*b*d^2 - 5*a*b^2*c*d)/(4*d^3)))/(6*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B^2*d^4*i*x^3*(b*((b^2*c - a*b*d)/(4*d^2) - (b*(a*d - b*c))/(2*d^2)) + (b^3*c - a*b^2*d)/(4*d^2)))/(6*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((4*a^3*x)/d + a^4/(b*d) + (b^3*x^4)/d + (6*a^2*b*x^2)/d + (4*a*b^2*x^3)/d) - (B*d^4*i*atan((B*d^4*i*(12*A + 13*B)*(72*b^5*c^3*g^5 + 72*a^3*b^2*d^3*g^5 - 72*a*b^4*c^2*d*g^5 - 72*a^2*b^3*c*d^2*g^5)*1i)/(72*b^2*g^5*(13*B^2*d^4*i + 12*A*B*d^4*i)*(a*d - b*c)^3) + (B*d^5*i*x*(12*A + 13*B)*(b^4*c^2*g^5 + a^2*b^2*d^2*g^5 - 2*a*b^3*c*d*g^5)*2i)/(b*g^5*(13*B^2*d^4*i + 12*A*B*d^4*i)*(a*d - b*c)^3))*(12*A + 13*B)*1i)/(36*b^2*g^5*(a*d - b*c)^3)","B"
64,0,-1,711,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
65,0,-1,761,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
66,0,-1,589,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
67,0,-1,334,0.000000,"\text{Not used}","int((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
68,0,-1,535,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x), x)","F"
69,0,-1,442,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2, x)","F"
70,0,-1,387,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^3, x)","F"
71,1,1153,147,7.412644,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^4,x)","-\frac{x^2\,\left(9\,A^2\,b^2\,d^2\,i^2+6\,A\,B\,b^2\,d^2\,i^2+2\,B^2\,b^2\,d^2\,i^2\right)+x\,\left(9\,c\,A^2\,b^2\,d\,i^2+9\,a\,A^2\,b\,d^2\,i^2+6\,c\,A\,B\,b^2\,d\,i^2+6\,a\,A\,B\,b\,d^2\,i^2+2\,c\,B^2\,b^2\,d\,i^2+2\,a\,B^2\,b\,d^2\,i^2\right)+3\,A^2\,a^2\,d^2\,i^2+3\,A^2\,b^2\,c^2\,i^2+\frac{2\,B^2\,a^2\,d^2\,i^2}{3}+\frac{2\,B^2\,b^2\,c^2\,i^2}{3}+2\,A\,B\,a^2\,d^2\,i^2+2\,A\,B\,b^2\,c^2\,i^2+3\,A^2\,a\,b\,c\,d\,i^2+\frac{2\,B^2\,a\,b\,c\,d\,i^2}{3}+2\,A\,B\,a\,b\,c\,d\,i^2}{9\,a^3\,b^3\,g^4+27\,a^2\,b^4\,g^4\,x+27\,a\,b^5\,g^4\,x^2+9\,b^6\,g^4\,x^3}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{3\,b^3\,g^4}+\frac{B^2\,a\,d^2\,i^2}{3\,b^4\,g^4}\right)+\frac{2\,B^2\,c\,d\,i^2}{3\,b^2\,g^4}+\frac{2\,B^2\,a\,d^2\,i^2}{3\,b^3\,g^4}\right)+a\,\left(\frac{B^2\,c\,d\,i^2}{3\,b^3\,g^4}+\frac{B^2\,a\,d^2\,i^2}{3\,b^4\,g^4}\right)+\frac{B^2\,c^2\,i^2}{3\,b^2\,g^4}+\frac{B^2\,d^2\,i^2\,x^2}{b^2\,g^4}}{3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2}-\frac{B^2\,d^3\,i^2}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(b\,\left(\frac{B\,i^2\,\left(2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,b^4\,g^4}+\frac{2\,A\,B\,a\,d\,i^2}{3\,b^4\,g^4}\right)+\frac{2\,B\,i^2\,\left(2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,b^3\,g^4}+\frac{2\,B^2\,d^3\,i^2\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}+\frac{4\,A\,B\,a\,d\,i^2}{3\,b^3\,g^4}\right)+x^2\,\left(\frac{2\,A\,B\,d\,i^2}{b^2\,g^4}-\frac{2\,B^2\,d^3\,i^2\,\left(\frac{b^2\,c-a\,b\,d}{3\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}\right)+a\,\left(\frac{B\,i^2\,\left(2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,b^4\,g^4}+\frac{2\,A\,B\,a\,d\,i^2}{3\,b^4\,g^4}\right)+\frac{2\,B\,i^2\,\left(-B\,a^2\,d^2+B\,a\,b\,c\,d+A\,b^2\,c^2\right)}{3\,b^4\,d\,g^4}+\frac{2\,B^2\,d^3\,i^2\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3}{3\,b\,d^4}\right)}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}\right)}{\frac{3\,a^2\,x}{d}+\frac{a^3}{b\,d}+\frac{b^2\,x^3}{d}+\frac{3\,a\,b\,x^2}{d}}-\frac{B\,d^3\,i^2\,\mathrm{atan}\left(\frac{\left(\frac{9\,c\,b^4\,g^4+9\,a\,d\,b^3\,g^4}{9\,b^3\,g^4}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(3\,A+B\right)\,4{}\mathrm{i}}{9\,b^3\,g^4\,\left(a\,d-b\,c\right)}","Not used",1,"- (x^2*(9*A^2*b^2*d^2*i^2 + 2*B^2*b^2*d^2*i^2 + 6*A*B*b^2*d^2*i^2) + x*(9*A^2*a*b*d^2*i^2 + 2*B^2*a*b*d^2*i^2 + 9*A^2*b^2*c*d*i^2 + 2*B^2*b^2*c*d*i^2 + 6*A*B*a*b*d^2*i^2 + 6*A*B*b^2*c*d*i^2) + 3*A^2*a^2*d^2*i^2 + 3*A^2*b^2*c^2*i^2 + (2*B^2*a^2*d^2*i^2)/3 + (2*B^2*b^2*c^2*i^2)/3 + 2*A*B*a^2*d^2*i^2 + 2*A*B*b^2*c^2*i^2 + 3*A^2*a*b*c*d*i^2 + (2*B^2*a*b*c*d*i^2)/3 + 2*A*B*a*b*c*d*i^2)/(9*a^3*b^3*g^4 + 9*b^6*g^4*x^3 + 27*a^2*b^4*g^4*x + 27*a*b^5*g^4*x^2) - log((e*(a + b*x))/(c + d*x))^2*((x*(b*((B^2*c*d*i^2)/(3*b^3*g^4) + (B^2*a*d^2*i^2)/(3*b^4*g^4)) + (2*B^2*c*d*i^2)/(3*b^2*g^4) + (2*B^2*a*d^2*i^2)/(3*b^3*g^4)) + a*((B^2*c*d*i^2)/(3*b^3*g^4) + (B^2*a*d^2*i^2)/(3*b^4*g^4)) + (B^2*c^2*i^2)/(3*b^2*g^4) + (B^2*d^2*i^2*x^2)/(b^2*g^4))/(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2) - (B^2*d^3*i^2)/(3*b^3*g^4*(a*d - b*c))) - (log((e*(a + b*x))/(c + d*x))*(x*(b*((B*i^2*(2*A*b*c - B*a*d + B*b*c))/(3*b^4*g^4) + (2*A*B*a*d*i^2)/(3*b^4*g^4)) + (2*B*i^2*(2*A*b*c - B*a*d + B*b*c))/(3*b^3*g^4) + (2*B^2*d^3*i^2*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*d^3) + (2*a*(a*d - b*c))/(3*d^2)))/(3*b^3*g^4*(a*d - b*c)) + (4*A*B*a*d*i^2)/(3*b^3*g^4)) + x^2*((2*A*B*d*i^2)/(b^2*g^4) - (2*B^2*d^3*i^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2)))/(3*b^3*g^4*(a*d - b*c))) + a*((B*i^2*(2*A*b*c - B*a*d + B*b*c))/(3*b^4*g^4) + (2*A*B*a*d*i^2)/(3*b^4*g^4)) + (2*B*i^2*(A*b^2*c^2 - B*a^2*d^2 + B*a*b*c*d))/(3*b^4*d*g^4) + (2*B^2*d^3*i^2*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2)/(3*b*d^4)))/(3*b^3*g^4*(a*d - b*c))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*i^2*atan((((9*b^4*c*g^4 + 9*a*b^3*d*g^4)/(9*b^3*g^4) + 2*b*d*x)*1i)/(a*d - b*c))*(3*A + B)*4i)/(9*b^3*g^4*(a*d - b*c))","B"
72,1,1940,299,11.199282,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^5,x)","-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{6\,b^3\,g^5}+\frac{B^2\,a\,d^2\,i^2}{12\,b^4\,g^5}\right)+\frac{B^2\,c\,d\,i^2}{2\,b^2\,g^5}+\frac{B^2\,a\,d^2\,i^2}{4\,b^3\,g^5}\right)+a\,\left(\frac{B^2\,c\,d\,i^2}{6\,b^3\,g^5}+\frac{B^2\,a\,d^2\,i^2}{12\,b^4\,g^5}\right)+\frac{B^2\,c^2\,i^2}{4\,b^2\,g^5}+\frac{B^2\,d^2\,i^2\,x^2}{2\,b^2\,g^5}}{4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3}-\frac{B^2\,d^4\,i^2}{12\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{72\,A^2\,a^3\,d^3\,i^2+72\,A^2\,a^2\,b\,c\,d^2\,i^2+72\,A^2\,a\,b^2\,c^2\,d\,i^2-216\,A^2\,b^3\,c^3\,i^2+84\,A\,B\,a^3\,d^3\,i^2+84\,A\,B\,a^2\,b\,c\,d^2\,i^2+84\,A\,B\,a\,b^2\,c^2\,d\,i^2-108\,A\,B\,b^3\,c^3\,i^2+37\,B^2\,a^3\,d^3\,i^2+37\,B^2\,a^2\,b\,c\,d^2\,i^2+37\,B^2\,a\,b^2\,c^2\,d\,i^2-27\,B^2\,b^3\,c^3\,i^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(7\,B^2\,b^3\,d^3\,i^2+12\,A\,B\,b^3\,d^3\,i^2\right)}{a\,d-b\,c}+\frac{x\,\left(72\,A^2\,a^2\,b\,d^3\,i^2+72\,A^2\,a\,b^2\,c\,d^2\,i^2-144\,A^2\,b^3\,c^2\,d\,i^2+84\,A\,B\,a^2\,b\,d^3\,i^2+84\,A\,B\,a\,b^2\,c\,d^2\,i^2-60\,A\,B\,b^3\,c^2\,d\,i^2+37\,B^2\,a^2\,b\,d^3\,i^2+37\,B^2\,a\,b^2\,c\,d^2\,i^2-11\,B^2\,b^3\,c^2\,d\,i^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-72\,c\,A^2\,b^3\,d^2\,i^2+72\,a\,A^2\,b^2\,d^3\,i^2-12\,c\,A\,B\,b^3\,d^2\,i^2+84\,a\,A\,B\,b^2\,d^3\,i^2+5\,c\,B^2\,b^3\,d^2\,i^2+37\,a\,B^2\,b^2\,d^3\,i^2\right)}{2\,\left(a\,d-b\,c\right)}}{72\,a^4\,b^3\,g^5+288\,a^3\,b^4\,g^5\,x+432\,a^2\,b^5\,g^5\,x^2+288\,a\,b^6\,g^5\,x^3+72\,b^7\,g^5\,x^4}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(\frac{A\,B\,d\,i^2}{b^2\,g^5}+\frac{B^2\,d^4\,i^2\,\left(b\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{4\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{4\,a^2\,b\,d^2-5\,a\,b^2\,c\,d+b^3\,c^2}{4\,d^3}\right)}{6\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+a\,\left(\frac{B\,i^2\,\left(4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{12\,b^4\,g^5}+\frac{A\,B\,a\,d\,i^2}{6\,b^4\,g^5}\right)+x\,\left(b\,\left(\frac{B\,i^2\,\left(4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{12\,b^4\,g^5}+\frac{A\,B\,a\,d\,i^2}{6\,b^4\,g^5}\right)+\frac{B\,i^2\,\left(4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{4\,b^3\,g^5}+\frac{B^2\,d^4\,i^2\,\left(b\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{12\,b\,d^4}\right)+a\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{4\,d^4}\right)}{6\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{A\,B\,a\,d\,i^2}{2\,b^3\,g^5}\right)+\frac{B\,i^2\,\left(6\,A\,b^2\,c^2-2\,B\,a^2\,d^2+B\,b^2\,c^2+B\,a\,b\,c\,d\right)}{12\,b^4\,d\,g^5}+\frac{B^2\,d^4\,i^2\,\left(a\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{12\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{4\,b\,d^2}\right)+\frac{6\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3}{12\,b\,d^4}\right)+\frac{4\,a^4\,d^4-10\,a^3\,b\,c\,d^3+10\,a^2\,b^2\,c^2\,d^2-5\,a\,b^3\,c^3\,d+b^4\,c^4}{4\,b\,d^5}\right)}{6\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,d^4\,i^2\,x^3\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{4\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{4\,d^2}\right)}{6\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{4\,a^3\,x}{d}+\frac{a^4}{b\,d}+\frac{b^3\,x^4}{d}+\frac{6\,a^2\,b\,x^2}{d}+\frac{4\,a\,b^2\,x^3}{d}}-\frac{B\,d^4\,i^2\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{72\,b^5\,c^2\,g^5-72\,a^2\,b^3\,d^2\,g^5}{72\,b^3\,g^5\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(12\,A+7\,B\right)\,1{}\mathrm{i}}{36\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log((e*(a + b*x))/(c + d*x))^2*((x*(b*((B^2*c*d*i^2)/(6*b^3*g^5) + (B^2*a*d^2*i^2)/(12*b^4*g^5)) + (B^2*c*d*i^2)/(2*b^2*g^5) + (B^2*a*d^2*i^2)/(4*b^3*g^5)) + a*((B^2*c*d*i^2)/(6*b^3*g^5) + (B^2*a*d^2*i^2)/(12*b^4*g^5)) + (B^2*c^2*i^2)/(4*b^2*g^5) + (B^2*d^2*i^2*x^2)/(2*b^2*g^5))/(4*a^3*x + a^4/b + b^3*x^4 + 6*a^2*b*x^2 + 4*a*b^2*x^3) - (B^2*d^4*i^2)/(12*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((72*A^2*a^3*d^3*i^2 - 216*A^2*b^3*c^3*i^2 + 37*B^2*a^3*d^3*i^2 - 27*B^2*b^3*c^3*i^2 + 84*A*B*a^3*d^3*i^2 - 108*A*B*b^3*c^3*i^2 + 72*A^2*a*b^2*c^2*d*i^2 + 72*A^2*a^2*b*c*d^2*i^2 + 37*B^2*a*b^2*c^2*d*i^2 + 37*B^2*a^2*b*c*d^2*i^2 + 84*A*B*a*b^2*c^2*d*i^2 + 84*A*B*a^2*b*c*d^2*i^2)/(12*(a*d - b*c)) + (x^3*(7*B^2*b^3*d^3*i^2 + 12*A*B*b^3*d^3*i^2))/(a*d - b*c) + (x*(72*A^2*a^2*b*d^3*i^2 + 37*B^2*a^2*b*d^3*i^2 - 144*A^2*b^3*c^2*d*i^2 - 11*B^2*b^3*c^2*d*i^2 + 72*A^2*a*b^2*c*d^2*i^2 + 37*B^2*a*b^2*c*d^2*i^2 + 84*A*B*a^2*b*d^3*i^2 - 60*A*B*b^3*c^2*d*i^2 + 84*A*B*a*b^2*c*d^2*i^2))/(3*(a*d - b*c)) + (x^2*(72*A^2*a*b^2*d^3*i^2 + 37*B^2*a*b^2*d^3*i^2 - 72*A^2*b^3*c*d^2*i^2 + 5*B^2*b^3*c*d^2*i^2 + 84*A*B*a*b^2*d^3*i^2 - 12*A*B*b^3*c*d^2*i^2))/(2*(a*d - b*c)))/(72*a^4*b^3*g^5 + 72*b^7*g^5*x^4 + 288*a^3*b^4*g^5*x + 288*a*b^6*g^5*x^3 + 432*a^2*b^5*g^5*x^2) - (log((e*(a + b*x))/(c + d*x))*(x^2*((A*B*d*i^2)/(b^2*g^5) + (B^2*d^4*i^2*(b*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*d^3) + (a*(a*d - b*c))/(2*d^2)) - a*((b^2*c - a*b*d)/(4*d^2) - (b*(a*d - b*c))/(2*d^2)) + (b^3*c^2 + 4*a^2*b*d^2 - 5*a*b^2*c*d)/(4*d^3)))/(6*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + a*((B*i^2*(4*A*b*c - B*a*d + B*b*c))/(12*b^4*g^5) + (A*B*a*d*i^2)/(6*b^4*g^5)) + x*(b*((B*i^2*(4*A*b*c - B*a*d + B*b*c))/(12*b^4*g^5) + (A*B*a*d*i^2)/(6*b^4*g^5)) + (B*i^2*(4*A*b*c - B*a*d + B*b*c))/(4*b^3*g^5) + (B^2*d^4*i^2*(b*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(12*b*d^4)) + a*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*d^3) + (a*(a*d - b*c))/(2*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(4*d^4)))/(6*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (A*B*a*d*i^2)/(2*b^3*g^5)) + (B*i^2*(6*A*b^2*c^2 - 2*B*a^2*d^2 + B*b^2*c^2 + B*a*b*c*d))/(12*b^4*d*g^5) + (B^2*d^4*i^2*(a*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(12*b*d^3) + (a*(a*d - b*c))/(4*b*d^2)) + (6*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2)/(12*b*d^4)) + (4*a^4*d^4 + b^4*c^4 + 10*a^2*b^2*c^2*d^2 - 5*a*b^3*c^3*d - 10*a^3*b*c*d^3)/(4*b*d^5)))/(6*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*d^4*i^2*x^3*(b*((b^2*c - a*b*d)/(4*d^2) - (b*(a*d - b*c))/(2*d^2)) + (b^3*c - a*b^2*d)/(4*d^2)))/(6*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((4*a^3*x)/d + a^4/(b*d) + (b^3*x^4)/d + (6*a^2*b*x^2)/d + (4*a*b^2*x^3)/d) - (B*d^4*i^2*atan(((2*b*d*x - (72*b^5*c^2*g^5 - 72*a^2*b^3*d^2*g^5)/(72*b^3*g^5*(a*d - b*c)))*1i)/(a*d - b*c))*(12*A + 7*B)*1i)/(36*b^3*g^5*(a*d - b*c)^2)","B"
73,1,3434,463,12.769485,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^6,x)","\frac{\frac{1800\,A^2\,a^4\,d^4\,i^2+1800\,A^2\,a^3\,b\,c\,d^3\,i^2+1800\,A^2\,a^2\,b^2\,c^2\,d^2\,i^2-16200\,A^2\,a\,b^3\,c^3\,d\,i^2+10800\,A^2\,b^4\,c^4\,i^2+2820\,A\,B\,a^4\,d^4\,i^2+2820\,A\,B\,a^3\,b\,c\,d^3\,i^2+2820\,A\,B\,a^2\,b^2\,c^2\,d^2\,i^2-9180\,A\,B\,a\,b^3\,c^3\,d\,i^2+4320\,A\,B\,b^4\,c^4\,i^2+1489\,B^2\,a^4\,d^4\,i^2+1489\,B^2\,a^3\,b\,c\,d^3\,i^2+1489\,B^2\,a^2\,b^2\,c^2\,d^2\,i^2-2511\,B^2\,a\,b^3\,c^3\,d\,i^2+864\,B^2\,b^4\,c^4\,i^2}{60\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(13\,c\,B^2\,b^4\,d^3\,i^2+363\,a\,B^2\,b^3\,d^4\,i^2-60\,A\,c\,B\,b^4\,d^3\,i^2+540\,A\,a\,B\,b^3\,d^4\,i^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(1800\,A^2\,a^3\,b\,d^4\,i^2+1800\,A^2\,a^2\,b^2\,c\,d^3\,i^2-9000\,A^2\,a\,b^3\,c^2\,d^2\,i^2+5400\,A^2\,b^4\,c^3\,d\,i^2+2820\,A\,B\,a^3\,b\,d^4\,i^2+2820\,A\,B\,a^2\,b^2\,c\,d^3\,i^2-4380\,A\,B\,a\,b^3\,c^2\,d^2\,i^2+1620\,A\,B\,b^4\,c^3\,d\,i^2+1489\,B^2\,a^3\,b\,d^4\,i^2+1489\,B^2\,a^2\,b^2\,c\,d^3\,i^2-911\,B^2\,a\,b^3\,c^2\,d^2\,i^2+189\,B^2\,b^4\,c^3\,d\,i^2\right)}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(1800\,A^2\,a^2\,b^2\,d^4\,i^2-3600\,A^2\,a\,b^3\,c\,d^3\,i^2+1800\,A^2\,b^4\,c^2\,d^2\,i^2+2820\,A\,B\,a^2\,b^2\,d^4\,i^2-780\,A\,B\,a\,b^3\,c\,d^3\,i^2+120\,A\,B\,b^4\,c^2\,d^2\,i^2+1489\,B^2\,a^2\,b^2\,d^4\,i^2+289\,B^2\,a\,b^3\,c\,d^3\,i^2-86\,B^2\,b^4\,c^2\,d^2\,i^2\right)}{6\,\left(a\,d-b\,c\right)}+\frac{d\,x^4\,\left(47\,B^2\,b^4\,d^3\,i^2+60\,A\,B\,b^4\,d^3\,i^2\right)}{a\,d-b\,c}}{x\,\left(4500\,a^4\,b^5\,c\,g^6-4500\,a^5\,b^4\,d\,g^6\right)-x^4\,\left(4500\,a^2\,b^7\,d\,g^6-4500\,a\,b^8\,c\,g^6\right)+x^5\,\left(900\,b^9\,c\,g^6-900\,a\,b^8\,d\,g^6\right)+x^2\,\left(9000\,a^3\,b^6\,c\,g^6-9000\,a^4\,b^5\,d\,g^6\right)+x^3\,\left(9000\,a^2\,b^7\,c\,g^6-9000\,a^3\,b^6\,d\,g^6\right)+900\,a^5\,b^4\,c\,g^6-900\,a^6\,b^3\,d\,g^6}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{10\,b^3\,g^6}+\frac{B^2\,a\,d^2\,i^2}{30\,b^4\,g^6}\right)+\frac{2\,B^2\,c\,d\,i^2}{5\,b^2\,g^6}+\frac{2\,B^2\,a\,d^2\,i^2}{15\,b^3\,g^6}\right)+a\,\left(\frac{B^2\,c\,d\,i^2}{10\,b^3\,g^6}+\frac{B^2\,a\,d^2\,i^2}{30\,b^4\,g^6}\right)+\frac{B^2\,c^2\,i^2}{5\,b^2\,g^6}+\frac{B^2\,d^2\,i^2\,x^2}{3\,b^2\,g^6}}{5\,a^4\,x+\frac{a^5}{b}+b^4\,x^5+10\,a^3\,b\,x^2+5\,a\,b^3\,x^4+10\,a^2\,b^2\,x^3}-\frac{B^2\,d^5\,i^2}{30\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,\left(\frac{B\,i^2\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^4\,g^6}+\frac{A\,B\,a\,d\,i^2}{15\,b^4\,g^6}\right)+x\,\left(b\,\left(\frac{B\,i^2\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^4\,g^6}+\frac{A\,B\,a\,d\,i^2}{15\,b^4\,g^6}\right)+\frac{2\,B\,i^2\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{15\,b^3\,g^6}+\frac{B^2\,d^5\,i^2\,\left(\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{5\,d^5}+b\,\left(a\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{20\,b\,d^5}\right)+a\,\left(b\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+a\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{10\,d^4}\right)\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{4\,A\,B\,a\,d\,i^2}{15\,b^3\,g^6}\right)+x^2\,\left(\frac{2\,A\,B\,d\,i^2}{3\,b^2\,g^6}+\frac{B^2\,d^5\,i^2\,\left(a\,\left(b\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{3\,\left(5\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+b^3\,c^2\right)}{20\,d^3}\right)-\frac{-10\,a^3\,b\,d^3+15\,a^2\,b^2\,c\,d^2-6\,a\,b^3\,c^2\,d+b^4\,c^3}{5\,d^4}+b\,\left(b\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+a\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{10\,d^4}\right)\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{B\,i^2\,\left(6\,A\,b^2\,c^2-B\,a^2\,d^2+B\,b^2\,c^2\right)}{15\,b^4\,d\,g^6}+\frac{B^2\,d^5\,i^2\,\left(a\,\left(a\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{20\,b\,d^5}\right)+\frac{5\,a^5\,d^5-15\,a^4\,b\,c\,d^4+20\,a^3\,b^2\,c^2\,d^3-15\,a^2\,b^3\,c^3\,d^2+6\,a\,b^4\,c^4\,d-b^5\,c^5}{5\,b\,d^6}\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{B^2\,d^5\,i^2\,x^3\,\left(\frac{5\,a^2\,b^2\,d^2-6\,a\,b^3\,c\,d+b^4\,c^2}{5\,d^3}+b\,\left(b\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{3\,\left(5\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+b^3\,c^2\right)}{20\,d^3}\right)-a\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{5\,d^2}\right)\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2\,d^5\,i^2\,x^4\,\left(b\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{5\,d^2}\right)+\frac{b^4\,c-a\,b^3\,d}{5\,d^2}\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{\frac{5\,a^4\,x}{d}+\frac{a^5}{b\,d}+\frac{b^4\,x^5}{d}+\frac{10\,a^3\,b\,x^2}{d}+\frac{5\,a\,b^3\,x^4}{d}+\frac{10\,a^2\,b^2\,x^3}{d}}-\frac{B\,d^5\,i^2\,\mathrm{atan}\left(\frac{B\,d^5\,i^2\,\left(60\,A+47\,B\right)\,\left(900\,a^3\,b^3\,d^3\,g^6-900\,a^2\,b^4\,c\,d^2\,g^6-900\,a\,b^5\,c^2\,d\,g^6+900\,b^6\,c^3\,g^6\right)\,1{}\mathrm{i}}{900\,b^3\,g^6\,\left(47\,B^2\,d^5\,i^2+60\,A\,B\,d^5\,i^2\right)\,{\left(a\,d-b\,c\right)}^3}+\frac{B\,d^6\,i^2\,x\,\left(60\,A+47\,B\right)\,\left(a^2\,b^3\,d^2\,g^6-2\,a\,b^4\,c\,d\,g^6+b^5\,c^2\,g^6\right)\,2{}\mathrm{i}}{b^2\,g^6\,\left(47\,B^2\,d^5\,i^2+60\,A\,B\,d^5\,i^2\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(60\,A+47\,B\right)\,1{}\mathrm{i}}{450\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((1800*A^2*a^4*d^4*i^2 + 10800*A^2*b^4*c^4*i^2 + 1489*B^2*a^4*d^4*i^2 + 864*B^2*b^4*c^4*i^2 + 2820*A*B*a^4*d^4*i^2 + 4320*A*B*b^4*c^4*i^2 - 16200*A^2*a*b^3*c^3*d*i^2 + 1800*A^2*a^3*b*c*d^3*i^2 - 2511*B^2*a*b^3*c^3*d*i^2 + 1489*B^2*a^3*b*c*d^3*i^2 + 1800*A^2*a^2*b^2*c^2*d^2*i^2 + 1489*B^2*a^2*b^2*c^2*d^2*i^2 + 2820*A*B*a^2*b^2*c^2*d^2*i^2 - 9180*A*B*a*b^3*c^3*d*i^2 + 2820*A*B*a^3*b*c*d^3*i^2)/(60*(a*d - b*c)) + (x^3*(363*B^2*a*b^3*d^4*i^2 + 13*B^2*b^4*c*d^3*i^2 + 540*A*B*a*b^3*d^4*i^2 - 60*A*B*b^4*c*d^3*i^2))/(2*(a*d - b*c)) + (x*(1800*A^2*a^3*b*d^4*i^2 + 1489*B^2*a^3*b*d^4*i^2 + 5400*A^2*b^4*c^3*d*i^2 + 189*B^2*b^4*c^3*d*i^2 - 9000*A^2*a*b^3*c^2*d^2*i^2 + 1800*A^2*a^2*b^2*c*d^3*i^2 - 911*B^2*a*b^3*c^2*d^2*i^2 + 1489*B^2*a^2*b^2*c*d^3*i^2 + 2820*A*B*a^3*b*d^4*i^2 + 1620*A*B*b^4*c^3*d*i^2 - 4380*A*B*a*b^3*c^2*d^2*i^2 + 2820*A*B*a^2*b^2*c*d^3*i^2))/(12*(a*d - b*c)) + (x^2*(1800*A^2*a^2*b^2*d^4*i^2 + 1489*B^2*a^2*b^2*d^4*i^2 + 1800*A^2*b^4*c^2*d^2*i^2 - 86*B^2*b^4*c^2*d^2*i^2 - 3600*A^2*a*b^3*c*d^3*i^2 + 289*B^2*a*b^3*c*d^3*i^2 + 2820*A*B*a^2*b^2*d^4*i^2 + 120*A*B*b^4*c^2*d^2*i^2 - 780*A*B*a*b^3*c*d^3*i^2))/(6*(a*d - b*c)) + (d*x^4*(47*B^2*b^4*d^3*i^2 + 60*A*B*b^4*d^3*i^2))/(a*d - b*c))/(x*(4500*a^4*b^5*c*g^6 - 4500*a^5*b^4*d*g^6) - x^4*(4500*a^2*b^7*d*g^6 - 4500*a*b^8*c*g^6) + x^5*(900*b^9*c*g^6 - 900*a*b^8*d*g^6) + x^2*(9000*a^3*b^6*c*g^6 - 9000*a^4*b^5*d*g^6) + x^3*(9000*a^2*b^7*c*g^6 - 9000*a^3*b^6*d*g^6) + 900*a^5*b^4*c*g^6 - 900*a^6*b^3*d*g^6) - log((e*(a + b*x))/(c + d*x))^2*((x*(b*((B^2*c*d*i^2)/(10*b^3*g^6) + (B^2*a*d^2*i^2)/(30*b^4*g^6)) + (2*B^2*c*d*i^2)/(5*b^2*g^6) + (2*B^2*a*d^2*i^2)/(15*b^3*g^6)) + a*((B^2*c*d*i^2)/(10*b^3*g^6) + (B^2*a*d^2*i^2)/(30*b^4*g^6)) + (B^2*c^2*i^2)/(5*b^2*g^6) + (B^2*d^2*i^2*x^2)/(3*b^2*g^6))/(5*a^4*x + a^5/b + b^4*x^5 + 10*a^3*b*x^2 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3) - (B^2*d^5*i^2)/(30*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (log((e*(a + b*x))/(c + d*x))*(a*((B*i^2*(6*A*b*c - B*a*d + B*b*c))/(30*b^4*g^6) + (A*B*a*d*i^2)/(15*b^4*g^6)) + x*(b*((B*i^2*(6*A*b*c - B*a*d + B*b*c))/(30*b^4*g^6) + (A*B*a*d*i^2)/(15*b^4*g^6)) + (2*B*i^2*(6*A*b*c - B*a*d + B*b*c))/(15*b^3*g^6) + (B^2*d^5*i^2*((10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(5*d^5) + b*(a*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + (10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(20*b*d^5)) + a*(b*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + a*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(10*d^4))))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (4*A*B*a*d*i^2)/(15*b^3*g^6)) + x^2*((2*A*B*d*i^2)/(3*b^2*g^6) + (B^2*d^5*i^2*(a*(b*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) - a*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (3*(b^3*c^2 + 5*a^2*b*d^2 - 6*a*b^2*c*d))/(20*d^3)) - (b^4*c^3 - 10*a^3*b*d^3 + 15*a^2*b^2*c*d^2 - 6*a*b^3*c^2*d)/(5*d^4) + b*(b*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + a*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(10*d^4))))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + (B*i^2*(6*A*b^2*c^2 - B*a^2*d^2 + B*b^2*c^2))/(15*b^4*d*g^6) + (B^2*d^5*i^2*(a*(a*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + (10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(20*b*d^5)) + (5*a^5*d^5 - b^5*c^5 - 15*a^2*b^3*c^3*d^2 + 20*a^3*b^2*c^2*d^3 + 6*a*b^4*c^4*d - 15*a^4*b*c*d^4)/(5*b*d^6)))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B^2*d^5*i^2*x^3*((b^4*c^2 + 5*a^2*b^2*d^2 - 6*a*b^3*c*d)/(5*d^3) + b*(b*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) - a*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (3*(b^3*c^2 + 5*a^2*b*d^2 - 6*a*b^2*c*d))/(20*d^3)) - a*(b*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (b^3*c - a*b^2*d)/(5*d^2))))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B^2*d^5*i^2*x^4*(b*(b*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (b^3*c - a*b^2*d)/(5*d^2)) + (b^4*c - a*b^3*d)/(5*d^2)))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((5*a^4*x)/d + a^5/(b*d) + (b^4*x^5)/d + (10*a^3*b*x^2)/d + (5*a*b^3*x^4)/d + (10*a^2*b^2*x^3)/d) - (B*d^5*i^2*atan((B*d^5*i^2*(60*A + 47*B)*(900*b^6*c^3*g^6 + 900*a^3*b^3*d^3*g^6 - 900*a*b^5*c^2*d*g^6 - 900*a^2*b^4*c*d^2*g^6)*1i)/(900*b^3*g^6*(47*B^2*d^5*i^2 + 60*A*B*d^5*i^2)*(a*d - b*c)^3) + (B*d^6*i^2*x*(60*A + 47*B)*(b^5*c^2*g^6 + a^2*b^3*d^2*g^6 - 2*a*b^4*c*d*g^6)*2i)/(b^2*g^6*(47*B^2*d^5*i^2 + 60*A*B*d^5*i^2)*(a*d - b*c)^3))*(60*A + 47*B)*1i)/(450*b^3*g^6*(a*d - b*c)^3)","B"
74,0,-1,1089,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
75,0,-1,908,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
76,0,-1,730,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
77,0,-1,420,0.000000,"\text{Not used}","int((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
78,0,-1,712,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x), x)","F"
79,0,-1,692,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^2, x)","F"
80,0,-1,604,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^3, x)","F"
81,1,1565,147,10.429276,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^5,x)","-\frac{24\,A^2\,a^4\,d^4\,i^3-24\,A^2\,b^4\,c^4\,i^3+3\,B^2\,a^4\,d^4\,i^3-3\,B^2\,b^4\,c^4\,i^3+12\,A\,B\,a^4\,d^4\,i^3-12\,A\,B\,b^4\,c^4\,i^3-24\,B^2\,b^4\,c^4\,i^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2+12\,B^2\,a^4\,d^4\,i^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-12\,B^2\,b^4\,c^4\,i^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-24\,B^2\,b^4\,d^4\,i^3\,x^4\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2+96\,A^2\,a^3\,b\,d^4\,i^3\,x+12\,B^2\,a^3\,b\,d^4\,i^3\,x-96\,A^2\,b^4\,c^3\,d\,i^3\,x-12\,B^2\,b^4\,c^3\,d\,i^3\,x+96\,A^2\,a\,b^3\,d^4\,i^3\,x^3+12\,B^2\,a\,b^3\,d^4\,i^3\,x^3-96\,A^2\,b^4\,c\,d^3\,i^3\,x^3-12\,B^2\,b^4\,c\,d^3\,i^3\,x^3+48\,A\,B\,a^4\,d^4\,i^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-48\,A\,B\,b^4\,c^4\,i^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+144\,A^2\,a^2\,b^2\,d^4\,i^3\,x^2+18\,B^2\,a^2\,b^2\,d^4\,i^3\,x^2-144\,A^2\,b^4\,c^2\,d^2\,i^3\,x^2-18\,B^2\,b^4\,c^2\,d^2\,i^3\,x^2+48\,A\,B\,a^3\,b\,d^4\,i^3\,x-48\,A\,B\,b^4\,c^3\,d\,i^3\,x+48\,B^2\,a\,b^3\,d^4\,i^3\,x^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-96\,B^2\,b^4\,c^3\,d\,i^3\,x\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2-48\,B^2\,b^4\,c\,d^3\,i^3\,x^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+48\,A\,B\,a\,b^3\,d^4\,i^3\,x^3-48\,A\,B\,b^4\,c\,d^3\,i^3\,x^3+72\,B^2\,a^2\,b^2\,d^4\,i^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-72\,B^2\,b^4\,c^2\,d^2\,i^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-96\,B^2\,b^4\,c\,d^3\,i^3\,x^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2+48\,B^2\,a^3\,b\,d^4\,i^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-48\,B^2\,b^4\,c^3\,d\,i^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+72\,A\,B\,a^2\,b^2\,d^4\,i^3\,x^2-72\,A\,B\,b^4\,c^2\,d^2\,i^3\,x^2-144\,B^2\,b^4\,c^2\,d^2\,i^3\,x^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2+288\,A\,B\,a^2\,b^2\,d^4\,i^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-288\,A\,B\,b^4\,c^2\,d^2\,i^3\,x^2\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+192\,A\,B\,a^3\,b\,d^4\,i^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-192\,A\,B\,b^4\,c^3\,d\,i^3\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+192\,A\,B\,a\,b^3\,d^4\,i^3\,x^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)-192\,A\,B\,b^4\,c\,d^3\,i^3\,x^3\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+B^2\,a^4\,d^4\,i^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,24{}\mathrm{i}+B^2\,b^4\,d^4\,i^3\,x^4\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,24{}\mathrm{i}+A\,B\,a^4\,d^4\,i^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,96{}\mathrm{i}+A\,B\,b^4\,d^4\,i^3\,x^4\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,96{}\mathrm{i}+B^2\,a^3\,b\,d^4\,i^3\,x\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,96{}\mathrm{i}+B^2\,a\,b^3\,d^4\,i^3\,x^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,96{}\mathrm{i}+B^2\,a^2\,b^2\,d^4\,i^3\,x^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,144{}\mathrm{i}+A\,B\,a^3\,b\,d^4\,i^3\,x\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,384{}\mathrm{i}+A\,B\,a\,b^3\,d^4\,i^3\,x^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,384{}\mathrm{i}+A\,B\,a^2\,b^2\,d^4\,i^3\,x^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,576{}\mathrm{i}}{96\,b^4\,g^5\,\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^4}","Not used",1,"-(24*A^2*a^4*d^4*i^3 - 24*A^2*b^4*c^4*i^3 + 3*B^2*a^4*d^4*i^3 - 3*B^2*b^4*c^4*i^3 + 12*A*B*a^4*d^4*i^3 - 12*A*B*b^4*c^4*i^3 - 24*B^2*b^4*c^4*i^3*log((e*(a + b*x))/(c + d*x))^2 + B^2*a^4*d^4*i^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*24i + 12*B^2*a^4*d^4*i^3*log((e*(a + b*x))/(c + d*x)) - 12*B^2*b^4*c^4*i^3*log((e*(a + b*x))/(c + d*x)) - 24*B^2*b^4*d^4*i^3*x^4*log((e*(a + b*x))/(c + d*x))^2 + 96*A^2*a^3*b*d^4*i^3*x + 12*B^2*a^3*b*d^4*i^3*x - 96*A^2*b^4*c^3*d*i^3*x - 12*B^2*b^4*c^3*d*i^3*x + B^2*b^4*d^4*i^3*x^4*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*24i + A*B*a^4*d^4*i^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*96i + 96*A^2*a*b^3*d^4*i^3*x^3 + 12*B^2*a*b^3*d^4*i^3*x^3 - 96*A^2*b^4*c*d^3*i^3*x^3 - 12*B^2*b^4*c*d^3*i^3*x^3 + 48*A*B*a^4*d^4*i^3*log((e*(a + b*x))/(c + d*x)) - 48*A*B*b^4*c^4*i^3*log((e*(a + b*x))/(c + d*x)) + 144*A^2*a^2*b^2*d^4*i^3*x^2 + 18*B^2*a^2*b^2*d^4*i^3*x^2 - 144*A^2*b^4*c^2*d^2*i^3*x^2 - 18*B^2*b^4*c^2*d^2*i^3*x^2 + 48*A*B*a^3*b*d^4*i^3*x - 48*A*B*b^4*c^3*d*i^3*x + 48*B^2*a*b^3*d^4*i^3*x^3*log((e*(a + b*x))/(c + d*x)) - 96*B^2*b^4*c^3*d*i^3*x*log((e*(a + b*x))/(c + d*x))^2 - 48*B^2*b^4*c*d^3*i^3*x^3*log((e*(a + b*x))/(c + d*x)) + A*B*b^4*d^4*i^3*x^4*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*96i + B^2*a^3*b*d^4*i^3*x*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*96i + 48*A*B*a*b^3*d^4*i^3*x^3 - 48*A*B*b^4*c*d^3*i^3*x^3 + 72*B^2*a^2*b^2*d^4*i^3*x^2*log((e*(a + b*x))/(c + d*x)) - 72*B^2*b^4*c^2*d^2*i^3*x^2*log((e*(a + b*x))/(c + d*x)) - 96*B^2*b^4*c*d^3*i^3*x^3*log((e*(a + b*x))/(c + d*x))^2 + B^2*a*b^3*d^4*i^3*x^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*96i + 48*B^2*a^3*b*d^4*i^3*x*log((e*(a + b*x))/(c + d*x)) - 48*B^2*b^4*c^3*d*i^3*x*log((e*(a + b*x))/(c + d*x)) + 72*A*B*a^2*b^2*d^4*i^3*x^2 - 72*A*B*b^4*c^2*d^2*i^3*x^2 - 144*B^2*b^4*c^2*d^2*i^3*x^2*log((e*(a + b*x))/(c + d*x))^2 + B^2*a^2*b^2*d^4*i^3*x^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*144i + A*B*a^3*b*d^4*i^3*x*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*384i + 288*A*B*a^2*b^2*d^4*i^3*x^2*log((e*(a + b*x))/(c + d*x)) - 288*A*B*b^4*c^2*d^2*i^3*x^2*log((e*(a + b*x))/(c + d*x)) + A*B*a*b^3*d^4*i^3*x^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*384i + 192*A*B*a^3*b*d^4*i^3*x*log((e*(a + b*x))/(c + d*x)) - 192*A*B*b^4*c^3*d*i^3*x*log((e*(a + b*x))/(c + d*x)) + A*B*a^2*b^2*d^4*i^3*x^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*576i + 192*A*B*a*b^3*d^4*i^3*x^3*log((e*(a + b*x))/(c + d*x)) - 192*A*B*b^4*c*d^3*i^3*x^3*log((e*(a + b*x))/(c + d*x)))/(96*b^4*g^5*(a*d - b*c)*(a + b*x)^4)","B"
82,1,3720,299,12.639495,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^6,x)","-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(a\,\left(b\,\left(\frac{B^2\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B^2\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B^2\,a\,d^3\,i^3}{20\,b^4\,g^6}+\frac{3\,B^2\,c\,d^2\,i^3}{10\,b^3\,g^6}\right)+b\,\left(a\,\left(\frac{B^2\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B^2\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B^2\,c^2\,d\,i^3}{20\,b^3\,g^6}\right)+\frac{3\,B^2\,c^2\,d\,i^3}{5\,b^2\,g^6}\right)+x^2\,\left(b\,\left(b\,\left(\frac{B^2\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B^2\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B^2\,a\,d^3\,i^3}{20\,b^4\,g^6}+\frac{3\,B^2\,c\,d^2\,i^3}{10\,b^3\,g^6}\right)+\frac{3\,B^2\,a\,d^3\,i^3}{10\,b^3\,g^6}+\frac{3\,B^2\,c\,d^2\,i^3}{5\,b^2\,g^6}\right)+a\,\left(a\,\left(\frac{B^2\,a\,d^3\,i^3}{20\,b^5\,g^6}+\frac{B^2\,c\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{3\,B^2\,c^2\,d\,i^3}{20\,b^3\,g^6}\right)+\frac{B^2\,c^3\,i^3}{5\,b^2\,g^6}+\frac{B^2\,d^3\,i^3\,x^3}{2\,b^2\,g^6}}{5\,a^4\,x+\frac{a^5}{b}+b^4\,x^5+10\,a^3\,b\,x^2+5\,a\,b^3\,x^4+10\,a^2\,b^2\,x^3}-\frac{B^2\,d^5\,i^3}{20\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{200\,A^2\,a^4\,d^4\,i^3+200\,A^2\,a^3\,b\,c\,d^3\,i^3+200\,A^2\,a^2\,b^2\,c^2\,d^2\,i^3+200\,A^2\,a\,b^3\,c^3\,d\,i^3-800\,A^2\,b^4\,c^4\,i^3+180\,A\,B\,a^4\,d^4\,i^3+180\,A\,B\,a^3\,b\,c\,d^3\,i^3+180\,A\,B\,a^2\,b^2\,c^2\,d^2\,i^3+180\,A\,B\,a\,b^3\,c^3\,d\,i^3-320\,A\,B\,b^4\,c^4\,i^3+61\,B^2\,a^4\,d^4\,i^3+61\,B^2\,a^3\,b\,c\,d^3\,i^3+61\,B^2\,a^2\,b^2\,c^2\,d^2\,i^3+61\,B^2\,a\,b^3\,c^3\,d\,i^3-64\,B^2\,b^4\,c^4\,i^3}{20\,\left(a\,d-b\,c\right)}+\frac{x^4\,\left(9\,B^2\,b^4\,d^4\,i^3+20\,A\,B\,b^4\,d^4\,i^3\right)}{a\,d-b\,c}+\frac{x^3\,\left(-200\,c\,A^2\,b^4\,d^3\,i^3+200\,a\,A^2\,b^3\,d^4\,i^3-20\,c\,A\,B\,b^4\,d^3\,i^3+180\,a\,A\,B\,b^3\,d^4\,i^3+11\,c\,B^2\,b^4\,d^3\,i^3+61\,a\,B^2\,b^3\,d^4\,i^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(200\,A^2\,a^3\,b\,d^4\,i^3+200\,A^2\,a^2\,b^2\,c\,d^3\,i^3+200\,A^2\,a\,b^3\,c^2\,d^2\,i^3-600\,A^2\,b^4\,c^3\,d\,i^3+180\,A\,B\,a^3\,b\,d^4\,i^3+180\,A\,B\,a^2\,b^2\,c\,d^3\,i^3+180\,A\,B\,a\,b^3\,c^2\,d^2\,i^3-220\,A\,B\,b^4\,c^3\,d\,i^3+61\,B^2\,a^3\,b\,d^4\,i^3+61\,B^2\,a^2\,b^2\,c\,d^3\,i^3+61\,B^2\,a\,b^3\,c^2\,d^2\,i^3-39\,B^2\,b^4\,c^3\,d\,i^3\right)}{4\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(200\,A^2\,a^2\,b^2\,d^4\,i^3+200\,A^2\,a\,b^3\,c\,d^3\,i^3-400\,A^2\,b^4\,c^2\,d^2\,i^3+180\,A\,B\,a^2\,b^2\,d^4\,i^3+180\,A\,B\,a\,b^3\,c\,d^3\,i^3-120\,A\,B\,b^4\,c^2\,d^2\,i^3+61\,B^2\,a^2\,b^2\,d^4\,i^3+61\,B^2\,a\,b^3\,c\,d^3\,i^3-14\,B^2\,b^4\,c^2\,d^2\,i^3\right)}{2\,\left(a\,d-b\,c\right)}}{200\,a^5\,b^4\,g^6+1000\,a^4\,b^5\,g^6\,x+2000\,a^3\,b^6\,g^6\,x^2+2000\,a^2\,b^7\,g^6\,x^3+1000\,a\,b^8\,g^6\,x^4+200\,b^9\,g^6\,x^5}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^3\,\left(\frac{A\,B\,d^2\,i^3}{b^2\,g^6}+\frac{B^2\,d^5\,i^3\,\left(\frac{5\,a^2\,b^2\,d^2-6\,a\,b^3\,c\,d+b^4\,c^2}{5\,d^3}+b\,\left(b\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{3\,\left(5\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+b^3\,c^2\right)}{20\,d^3}\right)-a\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{5\,d^2}\right)\right)}{10\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+a\,\left(a\,\left(\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^5\,g^6}+\frac{A\,B\,a\,d^2\,i^3}{10\,b^5\,g^6}\right)+\frac{B\,i^3\,\left(6\,A\,b^2\,c^2-B\,a^2\,d^2+B\,b^2\,c^2\right)}{20\,b^5\,g^6}\right)+x\,\left(b\,\left(a\,\left(\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^5\,g^6}+\frac{A\,B\,a\,d^2\,i^3}{10\,b^5\,g^6}\right)+\frac{B\,i^3\,\left(6\,A\,b^2\,c^2-B\,a^2\,d^2+B\,b^2\,c^2\right)}{20\,b^5\,g^6}\right)+a\,\left(b\,\left(\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^5\,g^6}+\frac{A\,B\,a\,d^2\,i^3}{10\,b^5\,g^6}\right)+\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{10\,b^4\,g^6}+\frac{3\,A\,B\,a\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{B\,i^3\,\left(6\,A\,b^2\,c^2-B\,a^2\,d^2+B\,b^2\,c^2\right)}{5\,b^4\,g^6}+\frac{B^2\,d^5\,i^3\,\left(\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{5\,d^5}+b\,\left(a\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{20\,b\,d^5}\right)+a\,\left(b\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+a\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{10\,d^4}\right)\right)}{10\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x^2\,\left(b\,\left(b\,\left(\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{30\,b^5\,g^6}+\frac{A\,B\,a\,d^2\,i^3}{10\,b^5\,g^6}\right)+\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{10\,b^4\,g^6}+\frac{3\,A\,B\,a\,d^2\,i^3}{10\,b^4\,g^6}\right)+\frac{B\,d\,i^3\,\left(6\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,b^3\,g^6}+\frac{3\,A\,B\,a\,d^2\,i^3}{5\,b^3\,g^6}+\frac{B^2\,d^5\,i^3\,\left(a\,\left(b\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{3\,\left(5\,a^2\,b\,d^2-6\,a\,b^2\,c\,d+b^3\,c^2\right)}{20\,d^3}\right)-\frac{-10\,a^3\,b\,d^3+15\,a^2\,b^2\,c\,d^2-6\,a\,b^3\,c^2\,d+b^4\,c^3}{5\,d^4}+b\,\left(b\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+a\,\left(b\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{10\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{10\,d^4}\right)\right)}{10\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{B\,i^3\,\left(4\,A\,b^3\,c^3-B\,a^3\,d^3+B\,b^3\,c^3-B\,a\,b^2\,c^2\,d+B\,a^2\,b\,c\,d^2\right)}{10\,b^5\,d\,g^6}+\frac{B^2\,d^5\,i^3\,\left(a\,\left(a\,\left(a\,\left(\frac{5\,a^2\,d^2-6\,a\,b\,c\,d+b^2\,c^2}{20\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{5\,b\,d^2}\right)+\frac{10\,a^3\,d^3-15\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-b^3\,c^3}{30\,b\,d^4}\right)+\frac{10\,a^4\,d^4-20\,a^3\,b\,c\,d^3+15\,a^2\,b^2\,c^2\,d^2-6\,a\,b^3\,c^3\,d+b^4\,c^4}{20\,b\,d^5}\right)+\frac{5\,a^5\,d^5-15\,a^4\,b\,c\,d^4+20\,a^3\,b^2\,c^2\,d^3-15\,a^2\,b^3\,c^3\,d^2+6\,a\,b^4\,c^4\,d-b^5\,c^5}{5\,b\,d^6}\right)}{10\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,d^5\,i^3\,x^4\,\left(b\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{5\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{5\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{5\,d^2}\right)+\frac{b^4\,c-a\,b^3\,d}{5\,d^2}\right)}{10\,b^4\,g^6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{5\,a^4\,x}{d}+\frac{a^5}{b\,d}+\frac{b^4\,x^5}{d}+\frac{10\,a^3\,b\,x^2}{d}+\frac{5\,a\,b^3\,x^4}{d}+\frac{10\,a^2\,b^2\,x^3}{d}}-\frac{B\,d^5\,i^3\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{200\,b^6\,c^2\,g^6-200\,a^2\,b^4\,d^2\,g^6}{200\,b^4\,g^6\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(20\,A+9\,B\right)\,1{}\mathrm{i}}{100\,b^4\,g^6\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log((e*(a + b*x))/(c + d*x))^2*((x*(a*(b*((B^2*a*d^3*i^3)/(20*b^5*g^6) + (B^2*c*d^2*i^3)/(10*b^4*g^6)) + (3*B^2*a*d^3*i^3)/(20*b^4*g^6) + (3*B^2*c*d^2*i^3)/(10*b^3*g^6)) + b*(a*((B^2*a*d^3*i^3)/(20*b^5*g^6) + (B^2*c*d^2*i^3)/(10*b^4*g^6)) + (3*B^2*c^2*d*i^3)/(20*b^3*g^6)) + (3*B^2*c^2*d*i^3)/(5*b^2*g^6)) + x^2*(b*(b*((B^2*a*d^3*i^3)/(20*b^5*g^6) + (B^2*c*d^2*i^3)/(10*b^4*g^6)) + (3*B^2*a*d^3*i^3)/(20*b^4*g^6) + (3*B^2*c*d^2*i^3)/(10*b^3*g^6)) + (3*B^2*a*d^3*i^3)/(10*b^3*g^6) + (3*B^2*c*d^2*i^3)/(5*b^2*g^6)) + a*(a*((B^2*a*d^3*i^3)/(20*b^5*g^6) + (B^2*c*d^2*i^3)/(10*b^4*g^6)) + (3*B^2*c^2*d*i^3)/(20*b^3*g^6)) + (B^2*c^3*i^3)/(5*b^2*g^6) + (B^2*d^3*i^3*x^3)/(2*b^2*g^6))/(5*a^4*x + a^5/b + b^4*x^5 + 10*a^3*b*x^2 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3) - (B^2*d^5*i^3)/(20*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((200*A^2*a^4*d^4*i^3 - 800*A^2*b^4*c^4*i^3 + 61*B^2*a^4*d^4*i^3 - 64*B^2*b^4*c^4*i^3 + 180*A*B*a^4*d^4*i^3 - 320*A*B*b^4*c^4*i^3 + 200*A^2*a*b^3*c^3*d*i^3 + 200*A^2*a^3*b*c*d^3*i^3 + 61*B^2*a*b^3*c^3*d*i^3 + 61*B^2*a^3*b*c*d^3*i^3 + 200*A^2*a^2*b^2*c^2*d^2*i^3 + 61*B^2*a^2*b^2*c^2*d^2*i^3 + 180*A*B*a^2*b^2*c^2*d^2*i^3 + 180*A*B*a*b^3*c^3*d*i^3 + 180*A*B*a^3*b*c*d^3*i^3)/(20*(a*d - b*c)) + (x^4*(9*B^2*b^4*d^4*i^3 + 20*A*B*b^4*d^4*i^3))/(a*d - b*c) + (x^3*(200*A^2*a*b^3*d^4*i^3 + 61*B^2*a*b^3*d^4*i^3 - 200*A^2*b^4*c*d^3*i^3 + 11*B^2*b^4*c*d^3*i^3 + 180*A*B*a*b^3*d^4*i^3 - 20*A*B*b^4*c*d^3*i^3))/(2*(a*d - b*c)) + (x*(200*A^2*a^3*b*d^4*i^3 + 61*B^2*a^3*b*d^4*i^3 - 600*A^2*b^4*c^3*d*i^3 - 39*B^2*b^4*c^3*d*i^3 + 200*A^2*a*b^3*c^2*d^2*i^3 + 200*A^2*a^2*b^2*c*d^3*i^3 + 61*B^2*a*b^3*c^2*d^2*i^3 + 61*B^2*a^2*b^2*c*d^3*i^3 + 180*A*B*a^3*b*d^4*i^3 - 220*A*B*b^4*c^3*d*i^3 + 180*A*B*a*b^3*c^2*d^2*i^3 + 180*A*B*a^2*b^2*c*d^3*i^3))/(4*(a*d - b*c)) + (x^2*(200*A^2*a^2*b^2*d^4*i^3 + 61*B^2*a^2*b^2*d^4*i^3 - 400*A^2*b^4*c^2*d^2*i^3 - 14*B^2*b^4*c^2*d^2*i^3 + 200*A^2*a*b^3*c*d^3*i^3 + 61*B^2*a*b^3*c*d^3*i^3 + 180*A*B*a^2*b^2*d^4*i^3 - 120*A*B*b^4*c^2*d^2*i^3 + 180*A*B*a*b^3*c*d^3*i^3))/(2*(a*d - b*c)))/(200*a^5*b^4*g^6 + 200*b^9*g^6*x^5 + 1000*a^4*b^5*g^6*x + 1000*a*b^8*g^6*x^4 + 2000*a^3*b^6*g^6*x^2 + 2000*a^2*b^7*g^6*x^3) - (log((e*(a + b*x))/(c + d*x))*(x^3*((A*B*d^2*i^3)/(b^2*g^6) + (B^2*d^5*i^3*((b^4*c^2 + 5*a^2*b^2*d^2 - 6*a*b^3*c*d)/(5*d^3) + b*(b*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) - a*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (3*(b^3*c^2 + 5*a^2*b*d^2 - 6*a*b^2*c*d))/(20*d^3)) - a*(b*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (b^3*c - a*b^2*d)/(5*d^2))))/(10*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + a*(a*((B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(30*b^5*g^6) + (A*B*a*d^2*i^3)/(10*b^5*g^6)) + (B*i^3*(6*A*b^2*c^2 - B*a^2*d^2 + B*b^2*c^2))/(20*b^5*g^6)) + x*(b*(a*((B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(30*b^5*g^6) + (A*B*a*d^2*i^3)/(10*b^5*g^6)) + (B*i^3*(6*A*b^2*c^2 - B*a^2*d^2 + B*b^2*c^2))/(20*b^5*g^6)) + a*(b*((B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(30*b^5*g^6) + (A*B*a*d^2*i^3)/(10*b^5*g^6)) + (B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(10*b^4*g^6) + (3*A*B*a*d^2*i^3)/(10*b^4*g^6)) + (B*i^3*(6*A*b^2*c^2 - B*a^2*d^2 + B*b^2*c^2))/(5*b^4*g^6) + (B^2*d^5*i^3*((10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(5*d^5) + b*(a*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + (10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(20*b*d^5)) + a*(b*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + a*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(10*d^4))))/(10*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x^2*(b*(b*((B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(30*b^5*g^6) + (A*B*a*d^2*i^3)/(10*b^5*g^6)) + (B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(10*b^4*g^6) + (3*A*B*a*d^2*i^3)/(10*b^4*g^6)) + (B*d*i^3*(6*A*b*c - B*a*d + B*b*c))/(5*b^3*g^6) + (3*A*B*a*d^2*i^3)/(5*b^3*g^6) + (B^2*d^5*i^3*(a*(b*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) - a*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (3*(b^3*c^2 + 5*a^2*b*d^2 - 6*a*b^2*c*d))/(20*d^3)) - (b^4*c^3 - 10*a^3*b*d^3 + 15*a^2*b^2*c*d^2 - 6*a*b^3*c^2*d)/(5*d^4) + b*(b*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + a*(b*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(10*d^3) + (2*a*(a*d - b*c))/(5*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(10*d^4))))/(10*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (B*i^3*(4*A*b^3*c^3 - B*a^3*d^3 + B*b^3*c^3 - B*a*b^2*c^2*d + B*a^2*b*c*d^2))/(10*b^5*d*g^6) + (B^2*d^5*i^3*(a*(a*(a*((5*a^2*d^2 + b^2*c^2 - 6*a*b*c*d)/(20*b*d^3) + (a*(a*d - b*c))/(5*b*d^2)) + (10*a^3*d^3 - b^3*c^3 + 6*a*b^2*c^2*d - 15*a^2*b*c*d^2)/(30*b*d^4)) + (10*a^4*d^4 + b^4*c^4 + 15*a^2*b^2*c^2*d^2 - 6*a*b^3*c^3*d - 20*a^3*b*c*d^3)/(20*b*d^5)) + (5*a^5*d^5 - b^5*c^5 - 15*a^2*b^3*c^3*d^2 + 20*a^3*b^2*c^2*d^3 + 6*a*b^4*c^4*d - 15*a^4*b*c*d^4)/(5*b*d^6)))/(10*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*d^5*i^3*x^4*(b*(b*((b^2*c - a*b*d)/(5*d^2) - (2*b*(a*d - b*c))/(5*d^2)) + (b^3*c - a*b^2*d)/(5*d^2)) + (b^4*c - a*b^3*d)/(5*d^2)))/(10*b^4*g^6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((5*a^4*x)/d + a^5/(b*d) + (b^4*x^5)/d + (10*a^3*b*x^2)/d + (5*a*b^3*x^4)/d + (10*a^2*b^2*x^3)/d) - (B*d^5*i^3*atan(((2*b*d*x - (200*b^6*c^2*g^6 - 200*a^2*b^4*d^2*g^6)/(200*b^4*g^6*(a*d - b*c)))*1i)/(a*d - b*c))*(20*A + 9*B)*1i)/(100*b^4*g^6*(a*d - b*c)^2)","B"
83,1,6275,463,14.173863,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(a*g + b*g*x)^7,x)","\frac{\frac{1800\,A^2\,a^5\,d^5\,i^3+1800\,A^2\,a^4\,b\,c\,d^4\,i^3+1800\,A^2\,a^3\,b^2\,c^2\,d^3\,i^3+1800\,A^2\,a^2\,b^3\,c^3\,d^2\,i^3-25200\,A^2\,a\,b^4\,c^4\,d\,i^3+18000\,A^2\,b^5\,c^5\,i^3+2220\,A\,B\,a^5\,d^5\,i^3+2220\,A\,B\,a^4\,b\,c\,d^4\,i^3+2220\,A\,B\,a^3\,b^2\,c^2\,d^3\,i^3+2220\,A\,B\,a^2\,b^3\,c^3\,d^2\,i^3-11280\,A\,B\,a\,b^4\,c^4\,d\,i^3+6000\,A\,B\,b^5\,c^5\,i^3+919\,B^2\,a^5\,d^5\,i^3+919\,B^2\,a^4\,b\,c\,d^4\,i^3+919\,B^2\,a^3\,b^2\,c^2\,d^3\,i^3+919\,B^2\,a^2\,b^3\,c^3\,d^2\,i^3-2456\,B^2\,a\,b^4\,c^4\,d\,i^3+1000\,B^2\,b^5\,c^5\,i^3}{60\,\left(a\,d-b\,c\right)}+\frac{x^4\,\left(23\,c\,B^2\,b^5\,d^4\,i^3+347\,a\,B^2\,b^4\,d^5\,i^3-60\,A\,c\,B\,b^5\,d^4\,i^3+660\,A\,a\,B\,b^4\,d^5\,i^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(1800\,A^2\,a^3\,b^2\,d^5\,i^3+1800\,A^2\,a^2\,b^3\,c\,d^4\,i^3-9000\,A^2\,a\,b^4\,c^2\,d^3\,i^3+5400\,A^2\,b^5\,c^3\,d^2\,i^3+2220\,A\,B\,a^3\,b^2\,d^5\,i^3+2220\,A\,B\,a^2\,b^3\,c\,d^4\,i^3-3180\,A\,B\,a\,b^4\,c^2\,d^3\,i^3+1140\,A\,B\,b^5\,c^3\,d^2\,i^3+919\,B^2\,a^3\,b^2\,d^5\,i^3+919\,B^2\,a^2\,b^3\,c\,d^4\,i^3-431\,B^2\,a\,b^4\,c^2\,d^3\,i^3+73\,B^2\,b^5\,c^3\,d^2\,i^3\right)}{4\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(1800\,A^2\,a^2\,b^3\,d^5\,i^3-3600\,A^2\,a\,b^4\,c\,d^4\,i^3+1800\,A^2\,b^5\,c^2\,d^3\,i^3+2220\,A\,B\,a^2\,b^3\,d^5\,i^3-480\,A\,B\,a\,b^4\,c\,d^4\,i^3+60\,A\,B\,b^5\,c^2\,d^3\,i^3+919\,B^2\,a^2\,b^3\,d^5\,i^3+244\,B^2\,a\,b^4\,c\,d^4\,i^3-53\,B^2\,b^5\,c^2\,d^3\,i^3\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x\,\left(1800\,A^2\,a^4\,b\,d^5\,i^3+1800\,A^2\,a^3\,b^2\,c\,d^4\,i^3+1800\,A^2\,a^2\,b^3\,c^2\,d^3\,i^3-16200\,A^2\,a\,b^4\,c^3\,d^2\,i^3+10800\,A^2\,b^5\,c^4\,d\,i^3+2220\,A\,B\,a^4\,b\,d^5\,i^3+2220\,A\,B\,a^3\,b^2\,c\,d^4\,i^3+2220\,A\,B\,a^2\,b^3\,c^2\,d^3\,i^3-6780\,A\,B\,a\,b^4\,c^3\,d^2\,i^3+3120\,A\,B\,b^5\,c^4\,d\,i^3+919\,B^2\,a^4\,b\,d^5\,i^3+919\,B^2\,a^3\,b^2\,c\,d^4\,i^3+919\,B^2\,a^2\,b^3\,c^2\,d^3\,i^3-1331\,B^2\,a\,b^4\,c^3\,d^2\,i^3+424\,B^2\,b^5\,c^4\,d\,i^3\right)}{10\,\left(a\,d-b\,c\right)}+\frac{d\,x^5\,\left(37\,B^2\,b^5\,d^4\,i^3+60\,A\,B\,b^5\,d^4\,i^3\right)}{a\,d-b\,c}}{x\,\left(10800\,a^5\,b^6\,c\,g^7-10800\,a^6\,b^5\,d\,g^7\right)-x^5\,\left(10800\,a^2\,b^9\,d\,g^7-10800\,a\,b^{10}\,c\,g^7\right)+x^6\,\left(1800\,b^{11}\,c\,g^7-1800\,a\,b^{10}\,d\,g^7\right)+x^2\,\left(27000\,a^4\,b^7\,c\,g^7-27000\,a^5\,b^6\,d\,g^7\right)+x^4\,\left(27000\,a^2\,b^9\,c\,g^7-27000\,a^3\,b^8\,d\,g^7\right)+x^3\,\left(36000\,a^3\,b^8\,c\,g^7-36000\,a^4\,b^7\,d\,g^7\right)+1800\,a^6\,b^5\,c\,g^7-1800\,a^7\,b^4\,d\,g^7}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(a\,\left(b\,\left(\frac{B^2\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B^2\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B^2\,a\,d^3\,i^3}{15\,b^4\,g^7}+\frac{B^2\,c\,d^2\,i^3}{5\,b^3\,g^7}\right)+b\,\left(a\,\left(\frac{B^2\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B^2\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B^2\,c^2\,d\,i^3}{10\,b^3\,g^7}\right)+\frac{B^2\,c^2\,d\,i^3}{2\,b^2\,g^7}\right)+x^2\,\left(b\,\left(b\,\left(\frac{B^2\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B^2\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B^2\,a\,d^3\,i^3}{15\,b^4\,g^7}+\frac{B^2\,c\,d^2\,i^3}{5\,b^3\,g^7}\right)+\frac{B^2\,a\,d^3\,i^3}{6\,b^3\,g^7}+\frac{B^2\,c\,d^2\,i^3}{2\,b^2\,g^7}\right)+a\,\left(a\,\left(\frac{B^2\,a\,d^3\,i^3}{60\,b^5\,g^7}+\frac{B^2\,c\,d^2\,i^3}{20\,b^4\,g^7}\right)+\frac{B^2\,c^2\,d\,i^3}{10\,b^3\,g^7}\right)+\frac{B^2\,c^3\,i^3}{6\,b^2\,g^7}+\frac{B^2\,d^3\,i^3\,x^3}{3\,b^2\,g^7}}{6\,a^5\,x+\frac{a^6}{b}+b^5\,x^6+15\,a^4\,b\,x^2+6\,a\,b^4\,x^5+20\,a^3\,b^2\,x^3+15\,a^2\,b^3\,x^4}-\frac{B^2\,d^6\,i^3}{60\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,\left(a\,\left(\frac{B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{90\,b^5\,g^7}+\frac{A\,B\,a\,d^2\,i^3}{30\,b^5\,g^7}\right)+\frac{B\,i^3\,\left(36\,A\,b^2\,c^2-3\,B\,a^2\,d^2+5\,B\,b^2\,c^2-2\,B\,a\,b\,c\,d\right)}{180\,b^5\,g^7}\right)+x^2\,\left(b\,\left(b\,\left(\frac{B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{90\,b^5\,g^7}+\frac{A\,B\,a\,d^2\,i^3}{30\,b^5\,g^7}\right)+\frac{2\,B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{45\,b^4\,g^7}+\frac{2\,A\,B\,a\,d^2\,i^3}{15\,b^4\,g^7}\right)+\frac{B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{9\,b^3\,g^7}+\frac{A\,B\,a\,d^2\,i^3}{3\,b^3\,g^7}+\frac{B^2\,d^6\,i^3\,\left(b\,\left(\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{15\,d^5}+b\,\left(a\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{60\,b\,d^5}\right)+a\,\left(b\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+a\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{20\,d^4}\right)\right)+a\,\left(a\,\left(b\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{6\,a^2\,b\,d^2-7\,a\,b^2\,c\,d+b^3\,c^2}{10\,d^3}\right)-\frac{-15\,a^3\,b\,d^3+21\,a^2\,b^2\,c\,d^2-7\,a\,b^3\,c^2\,d+b^4\,c^3}{10\,d^4}+b\,\left(b\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+a\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{20\,d^4}\right)\right)+\frac{20\,a^4\,b\,d^4-35\,a^3\,b^2\,c\,d^3+21\,a^2\,b^3\,c^2\,d^2-7\,a\,b^4\,c^3\,d+b^5\,c^4}{6\,d^5}\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+x\,\left(b\,\left(a\,\left(\frac{B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{90\,b^5\,g^7}+\frac{A\,B\,a\,d^2\,i^3}{30\,b^5\,g^7}\right)+\frac{B\,i^3\,\left(36\,A\,b^2\,c^2-3\,B\,a^2\,d^2+5\,B\,b^2\,c^2-2\,B\,a\,b\,c\,d\right)}{180\,b^5\,g^7}\right)+a\,\left(b\,\left(\frac{B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{90\,b^5\,g^7}+\frac{A\,B\,a\,d^2\,i^3}{30\,b^5\,g^7}\right)+\frac{2\,B\,d\,i^3\,\left(9\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{45\,b^4\,g^7}+\frac{2\,A\,B\,a\,d^2\,i^3}{15\,b^4\,g^7}\right)+\frac{B\,i^3\,\left(36\,A\,b^2\,c^2-3\,B\,a^2\,d^2+5\,B\,b^2\,c^2-2\,B\,a\,b\,c\,d\right)}{36\,b^4\,g^7}+\frac{B^2\,d^6\,i^3\,\left(a\,\left(\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{15\,d^5}+b\,\left(a\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{60\,b\,d^5}\right)+a\,\left(b\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+a\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{20\,d^4}\right)\right)+\frac{15\,a^5\,d^5-35\,a^4\,b\,c\,d^4+35\,a^3\,b^2\,c^2\,d^3-21\,a^2\,b^3\,c^3\,d^2+7\,a\,b^4\,c^4\,d-b^5\,c^5}{6\,d^6}+b\,\left(a\,\left(a\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{60\,b\,d^5}\right)+\frac{15\,a^5\,d^5-35\,a^4\,b\,c\,d^4+35\,a^3\,b^2\,c^2\,d^3-21\,a^2\,b^3\,c^3\,d^2+7\,a\,b^4\,c^4\,d-b^5\,c^5}{30\,b\,d^6}\right)\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+x^3\,\left(\frac{2\,A\,B\,d^2\,i^3}{3\,b^2\,g^7}+\frac{B^2\,d^6\,i^3\,\left(b\,\left(a\,\left(b\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{6\,a^2\,b\,d^2-7\,a\,b^2\,c\,d+b^3\,c^2}{10\,d^3}\right)-\frac{-15\,a^3\,b\,d^3+21\,a^2\,b^2\,c\,d^2-7\,a\,b^3\,c^2\,d+b^4\,c^3}{10\,d^4}+b\,\left(b\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+a\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{20\,d^4}\right)\right)-\frac{-15\,a^3\,b^2\,d^3+21\,a^2\,b^3\,c\,d^2-7\,a\,b^4\,c^2\,d+b^5\,c^3}{6\,d^4}+a\,\left(\frac{2\,\left(6\,a^2\,b^2\,d^2-7\,a\,b^3\,c\,d+b^4\,c^2\right)}{15\,d^3}+b\,\left(b\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{6\,a^2\,b\,d^2-7\,a\,b^2\,c\,d+b^3\,c^2}{10\,d^3}\right)-a\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{6\,d^2}\right)\right)\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{B\,i^3\,\left(60\,A\,b^3\,c^3-6\,B\,a^3\,d^3+11\,B\,b^3\,c^3-8\,B\,a\,b^2\,c^2\,d+3\,B\,a^2\,b\,c\,d^2\right)}{180\,b^5\,d\,g^7}+\frac{B^2\,d^6\,i^3\,\left(a\,\left(a\,\left(a\,\left(a\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{15\,a^3\,d^3-21\,a^2\,b\,c\,d^2+7\,a\,b^2\,c^2\,d-b^3\,c^3}{60\,b\,d^4}\right)+\frac{20\,a^4\,d^4-35\,a^3\,b\,c\,d^3+21\,a^2\,b^2\,c^2\,d^2-7\,a\,b^3\,c^3\,d+b^4\,c^4}{60\,b\,d^5}\right)+\frac{15\,a^5\,d^5-35\,a^4\,b\,c\,d^4+35\,a^3\,b^2\,c^2\,d^3-21\,a^2\,b^3\,c^3\,d^2+7\,a\,b^4\,c^4\,d-b^5\,c^5}{30\,b\,d^6}\right)+\frac{6\,a^6\,d^6-21\,a^5\,b\,c\,d^5+35\,a^4\,b^2\,c^2\,d^4-35\,a^3\,b^3\,c^3\,d^3+21\,a^2\,b^4\,c^4\,d^2-7\,a\,b^5\,c^5\,d+b^6\,c^6}{6\,b\,d^7}\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2\,d^6\,i^3\,x^5\,\left(\frac{b^5\,c-a\,b^4\,d}{6\,d^2}+b\,\left(b\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{6\,d^2}\right)+\frac{b^4\,c-a\,b^3\,d}{6\,d^2}\right)\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{B^2\,d^6\,i^3\,x^4\,\left(\frac{6\,a^2\,b^3\,d^2-7\,a\,b^4\,c\,d+b^5\,c^2}{6\,d^3}+b\,\left(\frac{2\,\left(6\,a^2\,b^2\,d^2-7\,a\,b^3\,c\,d+b^4\,c^2\right)}{15\,d^3}+b\,\left(b\,\left(b\,\left(\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{30\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{6\,b\,d^2}\right)+\frac{6\,a^2\,d^2-7\,a\,b\,c\,d+b^2\,c^2}{15\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{6\,a^2\,b\,d^2-7\,a\,b^2\,c\,d+b^3\,c^2}{10\,d^3}\right)-a\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{6\,d^2}\right)\right)-a\,\left(b\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{6\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{6\,d^2}\right)+\frac{b^4\,c-a\,b^3\,d}{6\,d^2}\right)\right)}{30\,b^4\,g^7\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{\frac{6\,a^5\,x}{d}+\frac{a^6}{b\,d}+\frac{b^5\,x^6}{d}+\frac{15\,a^4\,b\,x^2}{d}+\frac{6\,a\,b^4\,x^5}{d}+\frac{20\,a^3\,b^2\,x^3}{d}+\frac{15\,a^2\,b^3\,x^4}{d}}-\frac{B\,d^6\,i^3\,\mathrm{atan}\left(\frac{B\,d^6\,i^3\,\left(60\,A+37\,B\right)\,\left(1800\,a^3\,b^4\,d^3\,g^7-1800\,a^2\,b^5\,c\,d^2\,g^7-1800\,a\,b^6\,c^2\,d\,g^7+1800\,b^7\,c^3\,g^7\right)\,1{}\mathrm{i}}{1800\,b^4\,g^7\,\left(37\,B^2\,d^6\,i^3+60\,A\,B\,d^6\,i^3\right)\,{\left(a\,d-b\,c\right)}^3}+\frac{B\,d^7\,i^3\,x\,\left(60\,A+37\,B\right)\,\left(a^2\,b^4\,d^2\,g^7-2\,a\,b^5\,c\,d\,g^7+b^6\,c^2\,g^7\right)\,2{}\mathrm{i}}{b^3\,g^7\,\left(37\,B^2\,d^6\,i^3+60\,A\,B\,d^6\,i^3\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(60\,A+37\,B\right)\,1{}\mathrm{i}}{900\,b^4\,g^7\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((1800*A^2*a^5*d^5*i^3 + 18000*A^2*b^5*c^5*i^3 + 919*B^2*a^5*d^5*i^3 + 1000*B^2*b^5*c^5*i^3 + 2220*A*B*a^5*d^5*i^3 + 6000*A*B*b^5*c^5*i^3 - 25200*A^2*a*b^4*c^4*d*i^3 + 1800*A^2*a^4*b*c*d^4*i^3 - 2456*B^2*a*b^4*c^4*d*i^3 + 919*B^2*a^4*b*c*d^4*i^3 + 1800*A^2*a^2*b^3*c^3*d^2*i^3 + 1800*A^2*a^3*b^2*c^2*d^3*i^3 + 919*B^2*a^2*b^3*c^3*d^2*i^3 + 919*B^2*a^3*b^2*c^2*d^3*i^3 + 2220*A*B*a^2*b^3*c^3*d^2*i^3 + 2220*A*B*a^3*b^2*c^2*d^3*i^3 - 11280*A*B*a*b^4*c^4*d*i^3 + 2220*A*B*a^4*b*c*d^4*i^3)/(60*(a*d - b*c)) + (x^4*(347*B^2*a*b^4*d^5*i^3 + 23*B^2*b^5*c*d^4*i^3 + 660*A*B*a*b^4*d^5*i^3 - 60*A*B*b^5*c*d^4*i^3))/(2*(a*d - b*c)) + (x^2*(1800*A^2*a^3*b^2*d^5*i^3 + 919*B^2*a^3*b^2*d^5*i^3 + 5400*A^2*b^5*c^3*d^2*i^3 + 73*B^2*b^5*c^3*d^2*i^3 - 9000*A^2*a*b^4*c^2*d^3*i^3 + 1800*A^2*a^2*b^3*c*d^4*i^3 - 431*B^2*a*b^4*c^2*d^3*i^3 + 919*B^2*a^2*b^3*c*d^4*i^3 + 2220*A*B*a^3*b^2*d^5*i^3 + 1140*A*B*b^5*c^3*d^2*i^3 - 3180*A*B*a*b^4*c^2*d^3*i^3 + 2220*A*B*a^2*b^3*c*d^4*i^3))/(4*(a*d - b*c)) + (x^3*(1800*A^2*a^2*b^3*d^5*i^3 + 919*B^2*a^2*b^3*d^5*i^3 + 1800*A^2*b^5*c^2*d^3*i^3 - 53*B^2*b^5*c^2*d^3*i^3 - 3600*A^2*a*b^4*c*d^4*i^3 + 244*B^2*a*b^4*c*d^4*i^3 + 2220*A*B*a^2*b^3*d^5*i^3 + 60*A*B*b^5*c^2*d^3*i^3 - 480*A*B*a*b^4*c*d^4*i^3))/(3*(a*d - b*c)) + (x*(1800*A^2*a^4*b*d^5*i^3 + 919*B^2*a^4*b*d^5*i^3 + 10800*A^2*b^5*c^4*d*i^3 + 424*B^2*b^5*c^4*d*i^3 - 16200*A^2*a*b^4*c^3*d^2*i^3 + 1800*A^2*a^3*b^2*c*d^4*i^3 - 1331*B^2*a*b^4*c^3*d^2*i^3 + 919*B^2*a^3*b^2*c*d^4*i^3 + 2220*A*B*a^4*b*d^5*i^3 + 3120*A*B*b^5*c^4*d*i^3 + 1800*A^2*a^2*b^3*c^2*d^3*i^3 + 919*B^2*a^2*b^3*c^2*d^3*i^3 - 6780*A*B*a*b^4*c^3*d^2*i^3 + 2220*A*B*a^3*b^2*c*d^4*i^3 + 2220*A*B*a^2*b^3*c^2*d^3*i^3))/(10*(a*d - b*c)) + (d*x^5*(37*B^2*b^5*d^4*i^3 + 60*A*B*b^5*d^4*i^3))/(a*d - b*c))/(x*(10800*a^5*b^6*c*g^7 - 10800*a^6*b^5*d*g^7) - x^5*(10800*a^2*b^9*d*g^7 - 10800*a*b^10*c*g^7) + x^6*(1800*b^11*c*g^7 - 1800*a*b^10*d*g^7) + x^2*(27000*a^4*b^7*c*g^7 - 27000*a^5*b^6*d*g^7) + x^4*(27000*a^2*b^9*c*g^7 - 27000*a^3*b^8*d*g^7) + x^3*(36000*a^3*b^8*c*g^7 - 36000*a^4*b^7*d*g^7) + 1800*a^6*b^5*c*g^7 - 1800*a^7*b^4*d*g^7) - log((e*(a + b*x))/(c + d*x))^2*((x*(a*(b*((B^2*a*d^3*i^3)/(60*b^5*g^7) + (B^2*c*d^2*i^3)/(20*b^4*g^7)) + (B^2*a*d^3*i^3)/(15*b^4*g^7) + (B^2*c*d^2*i^3)/(5*b^3*g^7)) + b*(a*((B^2*a*d^3*i^3)/(60*b^5*g^7) + (B^2*c*d^2*i^3)/(20*b^4*g^7)) + (B^2*c^2*d*i^3)/(10*b^3*g^7)) + (B^2*c^2*d*i^3)/(2*b^2*g^7)) + x^2*(b*(b*((B^2*a*d^3*i^3)/(60*b^5*g^7) + (B^2*c*d^2*i^3)/(20*b^4*g^7)) + (B^2*a*d^3*i^3)/(15*b^4*g^7) + (B^2*c*d^2*i^3)/(5*b^3*g^7)) + (B^2*a*d^3*i^3)/(6*b^3*g^7) + (B^2*c*d^2*i^3)/(2*b^2*g^7)) + a*(a*((B^2*a*d^3*i^3)/(60*b^5*g^7) + (B^2*c*d^2*i^3)/(20*b^4*g^7)) + (B^2*c^2*d*i^3)/(10*b^3*g^7)) + (B^2*c^3*i^3)/(6*b^2*g^7) + (B^2*d^3*i^3*x^3)/(3*b^2*g^7))/(6*a^5*x + a^6/b + b^5*x^6 + 15*a^4*b*x^2 + 6*a*b^4*x^5 + 20*a^3*b^2*x^3 + 15*a^2*b^3*x^4) - (B^2*d^6*i^3)/(60*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (log((e*(a + b*x))/(c + d*x))*(a*(a*((B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(90*b^5*g^7) + (A*B*a*d^2*i^3)/(30*b^5*g^7)) + (B*i^3*(36*A*b^2*c^2 - 3*B*a^2*d^2 + 5*B*b^2*c^2 - 2*B*a*b*c*d))/(180*b^5*g^7)) + x^2*(b*(b*((B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(90*b^5*g^7) + (A*B*a*d^2*i^3)/(30*b^5*g^7)) + (2*B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(45*b^4*g^7) + (2*A*B*a*d^2*i^3)/(15*b^4*g^7)) + (B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(9*b^3*g^7) + (A*B*a*d^2*i^3)/(3*b^3*g^7) + (B^2*d^6*i^3*(b*((20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(15*d^5) + b*(a*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + (20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(60*b*d^5)) + a*(b*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + a*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(20*d^4))) + a*(a*(b*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) - a*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c^2 + 6*a^2*b*d^2 - 7*a*b^2*c*d)/(10*d^3)) - (b^4*c^3 - 15*a^3*b*d^3 + 21*a^2*b^2*c*d^2 - 7*a*b^3*c^2*d)/(10*d^4) + b*(b*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + a*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(20*d^4))) + (b^5*c^4 + 20*a^4*b*d^4 - 35*a^3*b^2*c*d^3 + 21*a^2*b^3*c^2*d^2 - 7*a*b^4*c^3*d)/(6*d^5)))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + x*(b*(a*((B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(90*b^5*g^7) + (A*B*a*d^2*i^3)/(30*b^5*g^7)) + (B*i^3*(36*A*b^2*c^2 - 3*B*a^2*d^2 + 5*B*b^2*c^2 - 2*B*a*b*c*d))/(180*b^5*g^7)) + a*(b*((B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(90*b^5*g^7) + (A*B*a*d^2*i^3)/(30*b^5*g^7)) + (2*B*d*i^3*(9*A*b*c - B*a*d + B*b*c))/(45*b^4*g^7) + (2*A*B*a*d^2*i^3)/(15*b^4*g^7)) + (B*i^3*(36*A*b^2*c^2 - 3*B*a^2*d^2 + 5*B*b^2*c^2 - 2*B*a*b*c*d))/(36*b^4*g^7) + (B^2*d^6*i^3*(a*((20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(15*d^5) + b*(a*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + (20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(60*b*d^5)) + a*(b*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + a*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(20*d^4))) + (15*a^5*d^5 - b^5*c^5 - 21*a^2*b^3*c^3*d^2 + 35*a^3*b^2*c^2*d^3 + 7*a*b^4*c^4*d - 35*a^4*b*c*d^4)/(6*d^6) + b*(a*(a*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + (20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(60*b*d^5)) + (15*a^5*d^5 - b^5*c^5 - 21*a^2*b^3*c^3*d^2 + 35*a^3*b^2*c^2*d^3 + 7*a*b^4*c^4*d - 35*a^4*b*c*d^4)/(30*b*d^6))))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + x^3*((2*A*B*d^2*i^3)/(3*b^2*g^7) + (B^2*d^6*i^3*(b*(a*(b*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) - a*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c^2 + 6*a^2*b*d^2 - 7*a*b^2*c*d)/(10*d^3)) - (b^4*c^3 - 15*a^3*b*d^3 + 21*a^2*b^2*c*d^2 - 7*a*b^3*c^2*d)/(10*d^4) + b*(b*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + a*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(20*d^4))) - (b^5*c^3 - 15*a^3*b^2*d^3 + 21*a^2*b^3*c*d^2 - 7*a*b^4*c^2*d)/(6*d^4) + a*((2*(b^4*c^2 + 6*a^2*b^2*d^2 - 7*a*b^3*c*d))/(15*d^3) + b*(b*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) - a*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c^2 + 6*a^2*b*d^2 - 7*a*b^2*c*d)/(10*d^3)) - a*(b*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c - a*b^2*d)/(6*d^2)))))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + (B*i^3*(60*A*b^3*c^3 - 6*B*a^3*d^3 + 11*B*b^3*c^3 - 8*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2))/(180*b^5*d*g^7) + (B^2*d^6*i^3*(a*(a*(a*(a*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (15*a^3*d^3 - b^3*c^3 + 7*a*b^2*c^2*d - 21*a^2*b*c*d^2)/(60*b*d^4)) + (20*a^4*d^4 + b^4*c^4 + 21*a^2*b^2*c^2*d^2 - 7*a*b^3*c^3*d - 35*a^3*b*c*d^3)/(60*b*d^5)) + (15*a^5*d^5 - b^5*c^5 - 21*a^2*b^3*c^3*d^2 + 35*a^3*b^2*c^2*d^3 + 7*a*b^4*c^4*d - 35*a^4*b*c*d^4)/(30*b*d^6)) + (6*a^6*d^6 + b^6*c^6 + 21*a^2*b^4*c^4*d^2 - 35*a^3*b^3*c^3*d^3 + 35*a^4*b^2*c^2*d^4 - 7*a*b^5*c^5*d - 21*a^5*b*c*d^5)/(6*b*d^7)))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B^2*d^6*i^3*x^5*((b^5*c - a*b^4*d)/(6*d^2) + b*(b*(b*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c - a*b^2*d)/(6*d^2)) + (b^4*c - a*b^3*d)/(6*d^2))))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B^2*d^6*i^3*x^4*((b^5*c^2 + 6*a^2*b^3*d^2 - 7*a*b^4*c*d)/(6*d^3) + b*((2*(b^4*c^2 + 6*a^2*b^2*d^2 - 7*a*b^3*c*d))/(15*d^3) + b*(b*(b*((6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(30*b*d^3) + (a*(a*d - b*c))/(6*b*d^2)) + (6*a^2*d^2 + b^2*c^2 - 7*a*b*c*d)/(15*d^3) + (a*(a*d - b*c))/(3*d^2)) - a*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c^2 + 6*a^2*b*d^2 - 7*a*b^2*c*d)/(10*d^3)) - a*(b*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c - a*b^2*d)/(6*d^2))) - a*(b*(b*((b^2*c - a*b*d)/(6*d^2) - (b*(a*d - b*c))/(3*d^2)) + (b^3*c - a*b^2*d)/(6*d^2)) + (b^4*c - a*b^3*d)/(6*d^2))))/(30*b^4*g^7*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((6*a^5*x)/d + a^6/(b*d) + (b^5*x^6)/d + (15*a^4*b*x^2)/d + (6*a*b^4*x^5)/d + (20*a^3*b^2*x^3)/d + (15*a^2*b^3*x^4)/d) - (B*d^6*i^3*atan((B*d^6*i^3*(60*A + 37*B)*(1800*b^7*c^3*g^7 + 1800*a^3*b^4*d^3*g^7 - 1800*a*b^6*c^2*d*g^7 - 1800*a^2*b^5*c*d^2*g^7)*1i)/(1800*b^4*g^7*(37*B^2*d^6*i^3 + 60*A*B*d^6*i^3)*(a*d - b*c)^3) + (B*d^7*i^3*x*(60*A + 37*B)*(b^6*c^2*g^7 + a^2*b^4*d^2*g^7 - 2*a*b^5*c*d*g^7)*2i)/(b^3*g^7*(37*B^2*d^6*i^3 + 60*A*B*d^6*i^3)*(a*d - b*c)^3))*(60*A + 37*B)*1i)/(900*b^4*g^7*(a*d - b*c)^3)","B"
84,0,-1,718,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x), x)","F"
85,0,-1,536,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x), x)","F"
86,0,-1,283,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x),x)","\int \frac{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x), x)","F"
87,0,-1,127,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(c*i + d*i*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(c*i + d*i*x), x)","F"
88,1,96,44,5.760118,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)*(c*i + d*i*x)),x)","-\frac{-6{}\mathrm{i}\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,A^2+3\,A\,B\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2+B^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g\,i\,\left(a\,d-b\,c\right)}","Not used",1,"-(B^2*log((e*(a + b*x))/(c + d*x))^3 - A^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*6i + 3*A*B*log((e*(a + b*x))/(c + d*x))^2)/(3*g*i*(a*d - b*c))","B"
89,1,419,183,6.371121,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^2*(c*i + d*i*x)),x)","\frac{A^2+2\,A\,B+2\,B^2}{\left(a\,d-b\,c\right)\,\left(a\,g^2\,i+b\,g^2\,i\,x\right)}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B\,d\,\left(A+B\right)}{g^2\,i\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,\left(a\,d-b\,c\right)}{b\,d\,g^2\,i\,\left(\frac{x}{d}+\frac{a}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{B^2\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^2\,i\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{2\,B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(a\,d-b\,c\right)\,\left(A+B\right)}{b\,d\,g^2\,i\,\left(\frac{x}{d}+\frac{a}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d\,\mathrm{atan}\left(\frac{d\,\left(2\,b\,d\,x+\frac{a^2\,d^2\,g^2\,i-b^2\,c^2\,g^2\,i}{g^2\,i\,\left(a\,d-b\,c\right)}\right)\,\left(A^2+2\,A\,B+2\,B^2\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(d\,A^2+2\,d\,A\,B+2\,d\,B^2\right)}\right)\,\left(A^2+2\,A\,B+2\,B^2\right)\,2{}\mathrm{i}}{g^2\,i\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(A^2 + 2*B^2 + 2*A*B)/((a*d - b*c)*(a*g^2*i + b*g^2*i*x)) - log((e*(a + b*x))/(c + d*x))^2*((B*d*(A + B))/(g^2*i*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*(a*d - b*c))/(b*d*g^2*i*(x/d + a/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (B^2*d*log((e*(a + b*x))/(c + d*x))^3)/(3*g^2*i*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (d*atan((d*(2*b*d*x + (a^2*d^2*g^2*i - b^2*c^2*g^2*i)/(g^2*i*(a*d - b*c)))*(A^2 + 2*B^2 + 2*A*B)*1i)/((a*d - b*c)*(A^2*d + 2*B^2*d + 2*A*B*d)))*(A^2 + 2*B^2 + 2*A*B)*2i)/(g^2*i*(a*d - b*c)^2) + (2*B*log((e*(a + b*x))/(c + d*x))*(a*d - b*c)*(A + B))/(b*d*g^2*i*(x/d + a/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
90,1,981,343,8.299556,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^3*(c*i + d*i*x)),x)","{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,d^2\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)}{g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{B^2\,x\,\left(a\,d-b\,c\right)}{g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-\frac{B\,d^2\,\left(2\,A+3\,B\right)}{2\,g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{\frac{6\,A^2\,a\,d-2\,A^2\,b\,c+15\,B^2\,a\,d-B^2\,b\,c+14\,A\,B\,a\,d-2\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(2\,b\,d\,A^2+6\,b\,d\,A\,B+7\,b\,d\,B^2\right)}{a\,d-b\,c}}{x^2\,\left(2\,b^3\,c\,g^3\,i-2\,a\,b^2\,d\,g^3\,i\right)+x\,\left(4\,a\,b^2\,c\,g^3\,i-4\,a^2\,b\,d\,g^3\,i\right)-2\,a^3\,d\,g^3\,i+2\,a^2\,b\,c\,g^3\,i}+\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,d^2\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)\,\left(2\,A+3\,B\right)}{g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2}{b\,d\,g^3\,i\,\left(a\,d-b\,c\right)}+\frac{B\,x\,\left(2\,A+3\,B\right)\,\left(a\,d-b\,c\right)}{g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-\frac{B^2\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^3\,i\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{d^2\,\mathrm{atan}\left(\frac{d^2\,\left(A^2+3\,A\,B+\frac{7\,B^2}{2}\right)\,\left(2\,i\,a^3\,d^3\,g^3-2\,i\,a^2\,b\,c\,d^2\,g^3-2\,i\,a\,b^2\,c^2\,d\,g^3+2\,i\,b^3\,c^3\,g^3\right)\,1{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,d^2+6\,A\,B\,d^2+7\,B^2\,d^2\right)}+\frac{b\,d^3\,x\,\left(i\,a^2\,d^2\,g^3-2\,i\,a\,b\,c\,d\,g^3+i\,b^2\,c^2\,g^3\right)\,\left(A^2+3\,A\,B+\frac{7\,B^2}{2}\right)\,4{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,d^2+6\,A\,B\,d^2+7\,B^2\,d^2\right)}\right)\,\left(A^2+3\,A\,B+\frac{7\,B^2}{2}\right)\,2{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"log((e*(a + b*x))/(c + d*x))^2*(((B^2*d^2*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)))/(g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B^2*x*(a*d - b*c))/(g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - (B*d^2*(2*A + 3*B))/(2*g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - ((6*A^2*a*d - 2*A^2*b*c + 15*B^2*a*d - B^2*b*c + 14*A*B*a*d - 2*A*B*b*c)/(2*(a*d - b*c)) + (x*(2*A^2*b*d + 7*B^2*b*d + 6*A*B*b*d))/(a*d - b*c))/(x^2*(2*b^3*c*g^3*i - 2*a*b^2*d*g^3*i) + x*(4*a*b^2*c*g^3*i - 4*a^2*b*d*g^3*i) - 2*a^3*d*g^3*i + 2*a^2*b*c*g^3*i) + (log((e*(a + b*x))/(c + d*x))*((B*d^2*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2))*(2*A + 3*B))/(g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - B^2/(b*d*g^3*i*(a*d - b*c)) + (B*x*(2*A + 3*B)*(a*d - b*c))/(g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - (B^2*d^2*log((e*(a + b*x))/(c + d*x))^3)/(3*g^3*i*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d^2*atan((d^2*(A^2 + (7*B^2)/2 + 3*A*B)*(2*a^3*d^3*g^3*i + 2*b^3*c^3*g^3*i - 2*a*b^2*c^2*d*g^3*i - 2*a^2*b*c*d^2*g^3*i)*1i)/(g^3*i*(a*d - b*c)^3*(2*A^2*d^2 + 7*B^2*d^2 + 6*A*B*d^2)) + (b*d^3*x*(a^2*d^2*g^3*i + b^2*c^2*g^3*i - 2*a*b*c*d*g^3*i)*(A^2 + (7*B^2)/2 + 3*A*B)*4i)/(g^3*i*(a*d - b*c)^3*(2*A^2*d^2 + 7*B^2*d^2 + 6*A*B*d^2)))*(A^2 + (7*B^2)/2 + 3*A*B)*2i)/(g^3*i*(a*d - b*c)^3)","B"
91,1,1882,507,11.446412,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^4*(c*i + d*i*x)),x)","{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,d^3\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3}{3\,b\,d^4}\right)}{g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}-\frac{B^2\,d^3\,x^2\,\left(\frac{b^2\,c-a\,b\,d}{3\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}+\frac{B^2\,d^3\,x\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}}{\frac{3\,a^2\,x}{d}+\frac{a^3}{b\,d}+\frac{b^2\,x^3}{d}+\frac{3\,a\,b\,x^2}{d}}-\frac{d^3\,\left(11\,B^2+6\,A\,B\right)}{6\,g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}\right)+\frac{\frac{198\,A^2\,a^2\,d^2-126\,A^2\,a\,b\,c\,d+36\,A^2\,b^2\,c^2+510\,A\,B\,a^2\,d^2-138\,A\,B\,a\,b\,c\,d+24\,A\,B\,b^2\,c^2+575\,B^2\,a^2\,d^2-73\,B^2\,a\,b\,c\,d+8\,B^2\,b^2\,c^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-18\,c\,A^2\,b^2\,d+90\,a\,A^2\,b\,d^2-30\,c\,A\,B\,b^2\,d+294\,a\,A\,B\,b\,d^2-19\,c\,B^2\,b^2\,d+359\,a\,B^2\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(18\,d\,A^2\,b^2+66\,d\,A\,B\,b^2+85\,d\,B^2\,b^2\right)}{a\,d-b\,c}}{x\,\left(54\,i\,a^4\,b\,d^2\,g^4-108\,i\,a^3\,b^2\,c\,d\,g^4+54\,i\,a^2\,b^3\,c^2\,g^4\right)+x^2\,\left(54\,i\,a^3\,b^2\,d^2\,g^4-108\,i\,a^2\,b^3\,c\,d\,g^4+54\,i\,a\,b^4\,c^2\,g^4\right)+x^3\,\left(18\,i\,a^2\,b^3\,d^2\,g^4-36\,i\,a\,b^4\,c\,d\,g^4+18\,i\,b^5\,c^2\,g^4\right)+18\,a^5\,d^2\,g^4\,i+18\,a^3\,b^2\,c^2\,g^4\,i-36\,a^4\,b\,c\,d\,g^4\,i}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{B^2}{g^4\,i\,{\left(a\,d-b\,c\right)}^2}-\frac{d^3\,\left(11\,B^2+6\,A\,B\right)\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}\right)+\frac{5\,B^2\,a\,d-3\,B^2\,b\,c}{3\,b\,d\,g^4\,i\,{\left(a\,d-b\,c\right)}^2}+\frac{B^2\,a}{3\,b\,g^4\,i\,{\left(a\,d-b\,c\right)}^2}-\frac{d^3\,\left(11\,B^2+6\,A\,B\right)\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3}{3\,b\,d^4}\right)}{3\,g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}+\frac{d^3\,x^2\,\left(\frac{b^2\,c-a\,b\,d}{3\,d^2}-\frac{2\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)\,\left(11\,B^2+6\,A\,B\right)}{3\,g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}\right)}{\frac{3\,a^2\,x}{d}+\frac{a^3}{b\,d}+\frac{b^2\,x^3}{d}+\frac{3\,a\,b\,x^2}{d}}-\frac{B^2\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^4\,i\,\left(a^4\,d^4-4\,a^3\,b\,c\,d^3+6\,a^2\,b^2\,c^2\,d^2-4\,a\,b^3\,c^3\,d+b^4\,c^4\right)}+\frac{d^3\,\mathrm{atan}\left(\frac{d^3\,\left(A^2+\frac{11\,A\,B}{3}+\frac{85\,B^2}{18}\right)\,\left(18\,i\,a^4\,d^4\,g^4-36\,i\,a^3\,b\,c\,d^3\,g^4+36\,i\,a\,b^3\,c^3\,d\,g^4-18\,i\,b^4\,c^4\,g^4\right)\,1{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,\left(18\,A^2\,d^3+66\,A\,B\,d^3+85\,B^2\,d^3\right)}+\frac{b\,d^4\,x\,\left(A^2+\frac{11\,A\,B}{3}+\frac{85\,B^2}{18}\right)\,\left(i\,a^3\,d^3\,g^4-3\,i\,a^2\,b\,c\,d^2\,g^4+3\,i\,a\,b^2\,c^2\,d\,g^4-i\,b^3\,c^3\,g^4\right)\,36{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,\left(18\,A^2\,d^3+66\,A\,B\,d^3+85\,B^2\,d^3\right)}\right)\,\left(A^2+\frac{11\,A\,B}{3}+\frac{85\,B^2}{18}\right)\,2{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"log((e*(a + b*x))/(c + d*x))^2*(((B^2*d^3*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2)/(3*b*d^4)))/(g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)) - (B^2*d^3*x^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2)))/(g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)) + (B^2*d^3*x*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*d^3) + (2*a*(a*d - b*c))/(3*d^2)))/(g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (d^3*(11*B^2 + 6*A*B))/(6*g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))) + ((198*A^2*a^2*d^2 + 36*A^2*b^2*c^2 + 575*B^2*a^2*d^2 + 8*B^2*b^2*c^2 + 510*A*B*a^2*d^2 + 24*A*B*b^2*c^2 - 126*A^2*a*b*c*d - 73*B^2*a*b*c*d - 138*A*B*a*b*c*d)/(6*(a*d - b*c)) + (x*(90*A^2*a*b*d^2 + 359*B^2*a*b*d^2 - 18*A^2*b^2*c*d - 19*B^2*b^2*c*d + 294*A*B*a*b*d^2 - 30*A*B*b^2*c*d))/(2*(a*d - b*c)) + (d*x^2*(18*A^2*b^2*d + 85*B^2*b^2*d + 66*A*B*b^2*d))/(a*d - b*c))/(x*(54*a^4*b*d^2*g^4*i + 54*a^2*b^3*c^2*g^4*i - 108*a^3*b^2*c*d*g^4*i) + x^2*(54*a*b^4*c^2*g^4*i + 54*a^3*b^2*d^2*g^4*i - 108*a^2*b^3*c*d*g^4*i) + x^3*(18*b^5*c^2*g^4*i + 18*a^2*b^3*d^2*g^4*i - 36*a*b^4*c*d*g^4*i) + 18*a^5*d^2*g^4*i + 18*a^3*b^2*c^2*g^4*i - 36*a^4*b*c*d*g^4*i) - (log((e*(a + b*x))/(c + d*x))*(x*(B^2/(g^4*i*(a*d - b*c)^2) - (d^3*(11*B^2 + 6*A*B)*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*d^3) + (2*a*(a*d - b*c))/(3*d^2)))/(3*g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))) + (5*B^2*a*d - 3*B^2*b*c)/(3*b*d*g^4*i*(a*d - b*c)^2) + (B^2*a)/(3*b*g^4*i*(a*d - b*c)^2) - (d^3*(11*B^2 + 6*A*B)*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(3*b*d^2)) + (3*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2)/(3*b*d^4)))/(3*g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)) + (d^3*x^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2))*(11*B^2 + 6*A*B))/(3*g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B^2*d^3*log((e*(a + b*x))/(c + d*x))^3)/(3*g^4*i*(a^4*d^4 + b^4*c^4 + 6*a^2*b^2*c^2*d^2 - 4*a*b^3*c^3*d - 4*a^3*b*c*d^3)) + (d^3*atan((d^3*(A^2 + (85*B^2)/18 + (11*A*B)/3)*(18*a^4*d^4*g^4*i - 18*b^4*c^4*g^4*i + 36*a*b^3*c^3*d*g^4*i - 36*a^3*b*c*d^3*g^4*i)*1i)/(g^4*i*(a*d - b*c)^4*(18*A^2*d^3 + 85*B^2*d^3 + 66*A*B*d^3)) + (b*d^4*x*(A^2 + (85*B^2)/18 + (11*A*B)/3)*(a^3*d^3*g^4*i - b^3*c^3*g^4*i + 3*a*b^2*c^2*d*g^4*i - 3*a^2*b*c*d^2*g^4*i)*36i)/(g^4*i*(a*d - b*c)^4*(18*A^2*d^3 + 85*B^2*d^3 + 66*A*B*d^3)))*(A^2 + (85*B^2)/18 + (11*A*B)/3)*2i)/(g^4*i*(a*d - b*c)^4)","B"
92,0,-1,722,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2, x)","F"
93,0,-1,469,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2, x)","F"
94,0,-1,261,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2,x)","\int \frac{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^2, x)","F"
95,1,222,152,5.618277,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(c*i + d*i*x)^2,x)","\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{2\,B^2}{b\,d^2\,i^2}-\frac{2\,A\,B}{b\,d^2\,i^2}\right)}{\frac{x}{b}+\frac{c}{b\,d}}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{d^2\,i^2\,\left(x+\frac{c}{d}\right)}+\frac{B^2\,b}{d\,i^2\,\left(a\,d-b\,c\right)}\right)-\frac{A^2-2\,A\,B+2\,B^2}{x\,d^2\,i^2+c\,d\,i^2}+\frac{B\,b\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{a\,d^2\,i^2+b\,c\,d\,i^2}{d\,i^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-B\right)\,4{}\mathrm{i}}{d\,i^2\,\left(a\,d-b\,c\right)}","Not used",1,"(log((e*(a + b*x))/(c + d*x))*((2*B^2)/(b*d^2*i^2) - (2*A*B)/(b*d^2*i^2)))/(x/b + c/(b*d)) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(d^2*i^2*(x + c/d)) + (B^2*b)/(d*i^2*(a*d - b*c))) - (A^2 + 2*B^2 - 2*A*B)/(d^2*i^2*x + c*d*i^2) + (B*b*atan(((2*b*d*x + (a*d^2*i^2 + b*c*d*i^2)/(d*i^2))*1i)/(a*d - b*c))*(A - B)*4i)/(d*i^2*(a*d - b*c))","B"
96,1,423,214,6.275240,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)*(c*i + d*i*x)^2),x)","{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B\,b\,\left(A-B\right)}{g\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,\left(a\,d-b\,c\right)}{b\,d\,g\,i^2\,\left(\frac{x}{b}+\frac{c}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{A^2-2\,A\,B+2\,B^2}{\left(a\,d-b\,c\right)\,\left(c\,g\,i^2+d\,g\,i^2\,x\right)}+\frac{B^2\,b\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{2\,B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(A-B\right)\,\left(a\,d-b\,c\right)}{b\,d\,g\,i^2\,\left(\frac{x}{b}+\frac{c}{b\,d}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{b\,\mathrm{atan}\left(\frac{b\,\left(2\,b\,d\,x+\frac{a^2\,d^2\,g\,i^2-b^2\,c^2\,g\,i^2}{g\,i^2\,\left(a\,d-b\,c\right)}\right)\,\left(A^2-2\,A\,B+2\,B^2\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(b\,A^2-2\,b\,A\,B+2\,b\,B^2\right)}\right)\,\left(A^2-2\,A\,B+2\,B^2\right)\,2{}\mathrm{i}}{g\,i^2\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"log((e*(a + b*x))/(c + d*x))^2*((B*b*(A - B))/(g*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*(a*d - b*c))/(b*d*g*i^2*(x/b + c/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (A^2 + 2*B^2 - 2*A*B)/((a*d - b*c)*(c*g*i^2 + d*g*i^2*x)) + (B^2*b*log((e*(a + b*x))/(c + d*x))^3)/(3*g*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (b*atan((b*(2*b*d*x + (a^2*d^2*g*i^2 - b^2*c^2*g*i^2)/(g*i^2*(a*d - b*c)))*(A^2 + 2*B^2 - 2*A*B)*1i)/((a*d - b*c)*(A^2*b + 2*B^2*b - 2*A*B*b)))*(A^2 + 2*B^2 - 2*A*B)*2i)/(g*i^2*(a*d - b*c)^2) - (2*B*log((e*(a + b*x))/(c + d*x))*(A - B)*(a*d - b*c))/(b*d*g*i^2*(x/b + c/(b*d))*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
97,1,731,365,7.201601,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x)","\frac{2\,B^2\,b\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}-\frac{\frac{A^2\,a\,d+A^2\,b\,c+2\,B^2\,a\,d+2\,B^2\,b\,c-2\,A\,B\,a\,d+2\,A\,B\,b\,c}{a\,d-b\,c}+\frac{2\,x\,\left(b\,d\,A^2+2\,b\,d\,B^2\right)}{a\,d-b\,c}}{x\,\left(a^2\,d^2\,g^2\,i^2-b^2\,c^2\,g^2\,i^2\right)+x^2\,\left(a\,b\,d^2\,g^2\,i^2-b^2\,c\,d\,g^2\,i^2\right)-a\,b\,c^2\,g^2\,i^2+a^2\,c\,d\,g^2\,i^2}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{2\,\left(B^2\,b\,c-B^2\,a\,d+A\,B\,a\,d+A\,B\,b\,c\right)}{g^2\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{4\,A\,B\,x}{g^2\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{x^2+\frac{x\,\left(a\,d+b\,c\right)}{b\,d}+\frac{a\,c}{b\,d}}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,\left(a\,d+b\,c\right)}{g^2\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{2\,B^2\,x}{g^2\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x^2+\frac{x\,\left(a\,d+b\,c\right)}{b\,d}+\frac{a\,c}{b\,d}}-\frac{2\,A\,B\,b\,d}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}\right)-\frac{b\,d\,\mathrm{atan}\left(\frac{b\,d\,\left(A^2+2\,B^2\right)\,\left(\frac{a^3\,d^3\,g^2\,i^2-a^2\,b\,c\,d^2\,g^2\,i^2-a\,b^2\,c^2\,d\,g^2\,i^2+b^3\,c^3\,g^2\,i^2}{a^2\,d^2\,g^2\,i^2-2\,a\,b\,c\,d\,g^2\,i^2+b^2\,c^2\,g^2\,i^2}+2\,b\,d\,x\right)\,\left(a^2\,d^2\,g^2\,i^2-2\,a\,b\,c\,d\,g^2\,i^2+b^2\,c^2\,g^2\,i^2\right)\,2{}\mathrm{i}}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3\,\left(2\,b\,d\,A^2+4\,b\,d\,B^2\right)}\right)\,\left(A^2+2\,B^2\right)\,4{}\mathrm{i}}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(2*B^2*b*d*log((e*(a + b*x))/(c + d*x))^3)/(3*g^2*i^2*(a*d - b*c)^3) - ((A^2*a*d + A^2*b*c + 2*B^2*a*d + 2*B^2*b*c - 2*A*B*a*d + 2*A*B*b*c)/(a*d - b*c) + (2*x*(A^2*b*d + 2*B^2*b*d))/(a*d - b*c))/(x*(a^2*d^2*g^2*i^2 - b^2*c^2*g^2*i^2) + x^2*(a*b*d^2*g^2*i^2 - b^2*c*d*g^2*i^2) - a*b*c^2*g^2*i^2 + a^2*c*d*g^2*i^2) - (log((e*(a + b*x))/(c + d*x))*((2*(B^2*b*c - B^2*a*d + A*B*a*d + A*B*b*c))/(g^2*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (4*A*B*x)/(g^2*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/(x^2 + (x*(a*d + b*c))/(b*d) + (a*c)/(b*d)) - (b*d*atan((b*d*(A^2 + 2*B^2)*((a^3*d^3*g^2*i^2 + b^3*c^3*g^2*i^2 - a*b^2*c^2*d*g^2*i^2 - a^2*b*c*d^2*g^2*i^2)/(a^2*d^2*g^2*i^2 + b^2*c^2*g^2*i^2 - 2*a*b*c*d*g^2*i^2) + 2*b*d*x)*(a^2*d^2*g^2*i^2 + b^2*c^2*g^2*i^2 - 2*a*b*c*d*g^2*i^2)*2i)/(g^2*i^2*(a*d - b*c)^3*(2*A^2*b*d + 4*B^2*b*d)))*(A^2 + 2*B^2)*4i)/(g^2*i^2*(a*d - b*c)^3) - log((e*(a + b*x))/(c + d*x))^2*(((B^2*(a*d + b*c))/(g^2*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (2*B^2*x)/(g^2*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x^2 + (x*(a*d + b*c))/(b*d) + (a*c)/(b*d)) - (2*A*B*b*d)/(g^2*i^2*(a*d - b*c)^3))","B"
98,1,1497,523,11.471000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x)","\frac{B^2\,b\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{\frac{4\,A^2\,a^2\,d^2+10\,A^2\,a\,b\,c\,d-2\,A^2\,b^2\,c^2-8\,A\,B\,a^2\,d^2+22\,A\,B\,a\,b\,c\,d-2\,A\,B\,b^2\,c^2+8\,B^2\,a^2\,d^2+23\,B^2\,a\,b\,c\,d-B^2\,b^2\,c^2}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A^2\,b^2\,d^2+2\,A\,B\,b^2\,d^2+5\,B^2\,b^2\,d^2\right)}{a\,d-b\,c}+\frac{3\,x\,\left(2\,c\,A^2\,b^2\,d+6\,a\,A^2\,b\,d^2+6\,c\,A\,B\,b^2\,d+2\,a\,A\,B\,b\,d^2+7\,c\,B^2\,b^2\,d+13\,a\,B^2\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(2\,a^4\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c^2\,d\,g^3\,i^2+4\,a\,b^3\,c^3\,g^3\,i^2\right)+x^2\,\left(4\,a^3\,b\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c\,d^2\,g^3\,i^2+2\,b^4\,c^3\,g^3\,i^2\right)+x^3\,\left(2\,a^2\,b^2\,d^3\,g^3\,i^2-4\,a\,b^3\,c\,d^2\,g^3\,i^2+2\,b^4\,c^2\,d\,g^3\,i^2\right)+2\,a^2\,b^2\,c^3\,g^3\,i^2+2\,a^4\,c\,d^2\,g^3\,i^2-4\,a^3\,b\,c^2\,d\,g^3\,i^2}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B^2\,b\,c-4\,B^2\,a\,d+4\,A\,B\,a\,d+2\,A\,B\,b\,c}{2\,g^3\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}-x\,\left(\frac{3\,\left(B^2-2\,A\,B\right)}{2\,g^3\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{3\,B\,\left(2\,A+B\right)\,\left(a\,d+b\,c\right)}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{3\,B\,a\,c\,\left(2\,A+B\right)}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B\,b\,d\,x^2\,\left(2\,A+B\right)}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{b\,x^3+\frac{a^2\,c}{b\,d}+\frac{x^2\,\left(c\,b^2+2\,a\,d\,b\right)}{b\,d}+\frac{x\,\left(d\,a^2+2\,b\,c\,a\right)}{b\,d}}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(\frac{3\,B^2}{2\,g^3\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B^2\,\left(a\,d+b\,c\right)}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{B^2\,\left(2\,a\,d+b\,c\right)}{2\,g^3\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{3\,B^2\,a\,c}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B^2\,b\,d\,x^2}{g^3\,i^2\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b\,x^3+\frac{a^2\,c}{b\,d}+\frac{x^2\,\left(c\,b^2+2\,a\,d\,b\right)}{b\,d}+\frac{x\,\left(d\,a^2+2\,b\,c\,a\right)}{b\,d}}-\frac{3\,B\,b\,d^2\,\left(2\,A+B\right)}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{b\,d^2\,\mathrm{atan}\left(\frac{b\,d^2\,\left(2\,A^2+2\,A\,B+5\,B^2\right)\,\left(2\,a^4\,d^4\,g^3\,i^2-4\,a^3\,b\,c\,d^3\,g^3\,i^2+4\,a\,b^3\,c^3\,d\,g^3\,i^2-2\,b^4\,c^4\,g^3\,i^2\right)\,3{}\mathrm{i}}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^4\,\left(6\,b\,A^2\,d^2+6\,b\,A\,B\,d^2+15\,b\,B^2\,d^2\right)}+\frac{b^2\,d^3\,x\,\left(2\,A^2+2\,A\,B+5\,B^2\right)\,\left(a^3\,d^3\,g^3\,i^2-3\,a^2\,b\,c\,d^2\,g^3\,i^2+3\,a\,b^2\,c^2\,d\,g^3\,i^2-b^3\,c^3\,g^3\,i^2\right)\,6{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4\,\left(6\,b\,A^2\,d^2+6\,b\,A\,B\,d^2+15\,b\,B^2\,d^2\right)}\right)\,\left(2\,A^2+2\,A\,B+5\,B^2\right)\,3{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B^2*b*d^2*log((e*(a + b*x))/(c + d*x))^3)/(g^3*i^2*(a*d - b*c)^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - ((4*A^2*a^2*d^2 - 2*A^2*b^2*c^2 + 8*B^2*a^2*d^2 - B^2*b^2*c^2 - 8*A*B*a^2*d^2 - 2*A*B*b^2*c^2 + 10*A^2*a*b*c*d + 23*B^2*a*b*c*d + 22*A*B*a*b*c*d)/(2*(a*d - b*c)) + (3*x^2*(2*A^2*b^2*d^2 + 5*B^2*b^2*d^2 + 2*A*B*b^2*d^2))/(a*d - b*c) + (3*x*(6*A^2*a*b*d^2 + 13*B^2*a*b*d^2 + 2*A^2*b^2*c*d + 7*B^2*b^2*c*d + 2*A*B*a*b*d^2 + 6*A*B*b^2*c*d))/(2*(a*d - b*c)))/(x*(2*a^4*d^3*g^3*i^2 + 4*a*b^3*c^3*g^3*i^2 - 6*a^2*b^2*c^2*d*g^3*i^2) + x^2*(2*b^4*c^3*g^3*i^2 + 4*a^3*b*d^3*g^3*i^2 - 6*a^2*b^2*c*d^2*g^3*i^2) + x^3*(2*a^2*b^2*d^3*g^3*i^2 + 2*b^4*c^2*d*g^3*i^2 - 4*a*b^3*c*d^2*g^3*i^2) + 2*a^2*b^2*c^3*g^3*i^2 + 2*a^4*c*d^2*g^3*i^2 - 4*a^3*b*c^2*d*g^3*i^2) - (log((e*(a + b*x))/(c + d*x))*((B^2*b*c - 4*B^2*a*d + 4*A*B*a*d + 2*A*B*b*c)/(2*g^3*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) - x*((3*(B^2 - 2*A*B))/(2*g^3*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (3*B*(2*A + B)*(a*d + b*c))/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (3*B*a*c*(2*A + B))/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B*b*d*x^2*(2*A + B))/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/(b*x^3 + (a^2*c)/(b*d) + (x^2*(b^2*c + 2*a*b*d))/(b*d) + (x*(a^2*d + 2*a*b*c))/(b*d)) - (b*d^2*atan((b*d^2*(2*A^2 + 5*B^2 + 2*A*B)*(2*a^4*d^4*g^3*i^2 - 2*b^4*c^4*g^3*i^2 + 4*a*b^3*c^3*d*g^3*i^2 - 4*a^3*b*c*d^3*g^3*i^2)*3i)/(2*g^3*i^2*(a*d - b*c)^4*(6*A^2*b*d^2 + 15*B^2*b*d^2 + 6*A*B*b*d^2)) + (b^2*d^3*x*(2*A^2 + 5*B^2 + 2*A*B)*(a^3*d^3*g^3*i^2 - b^3*c^3*g^3*i^2 + 3*a*b^2*c^2*d*g^3*i^2 - 3*a^2*b*c*d^2*g^3*i^2)*6i)/(g^3*i^2*(a*d - b*c)^4*(6*A^2*b*d^2 + 15*B^2*b*d^2 + 6*A*B*b*d^2)))*(2*A^2 + 5*B^2 + 2*A*B)*3i)/(g^3*i^2*(a*d - b*c)^4) - log((e*(a + b*x))/(c + d*x))^2*((x*((3*B^2)/(2*g^3*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B^2*(a*d + b*c))/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (B^2*(2*a*d + b*c))/(2*g^3*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (3*B^2*a*c)/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B^2*b*d*x^2)/(g^3*i^2*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(b*x^3 + (a^2*c)/(b*d) + (x^2*(b^2*c + 2*a*b*d))/(b*d) + (x*(a^2*d + 2*a*b*c))/(b*d)) - (3*B*b*d^2*(2*A + B))/(2*g^3*i^2*(a*d - b*c)^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))","B"
99,1,2701,682,13.572468,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x)","\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(\frac{4\,B^2\,b\,d}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^3}-\frac{4\,b\,d^3\,\left(b\,d\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d^2}\right)\,\left(5\,B^2+6\,A\,B\right)}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+x\,\left(\frac{8\,\left(2\,B^2-3\,A\,B\right)}{9\,g^4\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B^2\,\left(a\,d+b\,c\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^3}-\frac{4\,b\,d^3\,\left(\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)\,\left(a\,d+b\,c\right)+\frac{a\,c\,\left(a\,d-b\,c\right)}{d^2}\right)\,\left(5\,B^2+6\,A\,B\right)}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{2\,\left(B^2\,b\,c-9\,B^2\,a\,d+9\,A\,B\,a\,d+3\,A\,B\,b\,c\right)}{9\,g^4\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{4\,B^2\,a\,c}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^3}-\frac{4\,b^2\,d^2\,x^3\,\left(5\,B^2+6\,A\,B\right)}{3\,g^4\,i^2\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{4\,a\,b\,c\,d^3\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)\,\left(5\,B^2+6\,A\,B\right)}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{b^2\,x^4+\frac{a^3\,c}{b\,d}+\frac{x\,\left(d\,a^3+3\,b\,c\,a^2\right)}{b\,d}+\frac{x^3\,\left(c\,b^3+3\,a\,d\,b^2\right)}{b\,d}+\frac{x^2\,\left(3\,d\,a^2\,b+3\,c\,a\,b^2\right)}{b\,d}}-\frac{\frac{27\,A^2\,a^3\,d^3+117\,A^2\,a^2\,b\,c\,d^2-45\,A^2\,a\,b^2\,c^2\,d+9\,A^2\,b^3\,c^3-54\,A\,B\,a^3\,d^3+276\,A\,B\,a^2\,b\,c\,d^2-48\,A\,B\,a\,b^2\,c^2\,d+6\,A\,B\,b^3\,c^3+54\,B^2\,a^3\,d^3+299\,B^2\,a^2\,b\,c\,d^2-25\,B^2\,a\,b^2\,c^2\,d+2\,B^2\,b^3\,c^3}{3\,\left(a\,d-b\,c\right)}+\frac{2\,x^3\,\left(18\,A^2\,b^3\,d^3+30\,A\,B\,b^3\,d^3+55\,B^2\,b^3\,d^3\right)}{a\,d-b\,c}+\frac{x\,\left(198\,A^2\,a^2\,b\,d^3+144\,A^2\,a\,b^2\,c\,d^2-18\,A^2\,b^3\,c^2\,d+114\,A\,B\,a^2\,b\,d^3+456\,A\,B\,a\,b^2\,c\,d^2-30\,A\,B\,b^3\,c^2\,d+461\,B^2\,a^2\,b\,d^3+548\,B^2\,a\,b^2\,c\,d^2-19\,B^2\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(18\,c\,A^2\,b^3\,d^2+90\,a\,A^2\,b^2\,d^3+66\,c\,A\,B\,b^3\,d^2+114\,a\,A\,B\,b^2\,d^3+85\,c\,B^2\,b^3\,d^2+245\,a\,B^2\,b^2\,d^3\right)}{a\,d-b\,c}}{x\,\left(9\,a^6\,d^4\,g^4\,i^2-54\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+72\,a^3\,b^3\,c^3\,d\,g^4\,i^2-27\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-27\,a^5\,b\,d^4\,g^4\,i^2+54\,a^4\,b^2\,c\,d^3\,g^4\,i^2-54\,a^2\,b^4\,c^3\,d\,g^4\,i^2+27\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-27\,a^4\,b^2\,d^4\,g^4\,i^2+72\,a^3\,b^3\,c\,d^3\,g^4\,i^2-54\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+9\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(9\,a^3\,b^3\,d^4\,g^4\,i^2-27\,a^2\,b^4\,c\,d^3\,g^4\,i^2+27\,a\,b^5\,c^2\,d^2\,g^4\,i^2-9\,b^6\,c^3\,d\,g^4\,i^2\right)-9\,a^3\,b^3\,c^4\,g^4\,i^2+9\,a^6\,c\,d^3\,g^4\,i^2+27\,a^4\,b^2\,c^3\,d\,g^4\,i^2-27\,a^5\,b\,c^2\,d^2\,g^4\,i^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(\frac{4\,B^2}{3\,g^4\,i^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B^2\,b\,d^3\,\left(\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)\,\left(a\,d+b\,c\right)+\frac{a\,c\,\left(a\,d-b\,c\right)}{d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{B^2\,\left(3\,a\,d+b\,c\right)}{3\,g^4\,i^2\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{4\,B^2\,b^2\,d^2\,x^3}{g^4\,i^2\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{4\,B^2\,b\,d^3\,x^2\,\left(b\,d\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{4\,B^2\,a\,b\,c\,d^3\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{2\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{b^2\,x^4+\frac{a^3\,c}{b\,d}+\frac{x\,\left(d\,a^3+3\,b\,c\,a^2\right)}{b\,d}+\frac{x^3\,\left(c\,b^3+3\,a\,d\,b^2\right)}{b\,d}+\frac{x^2\,\left(3\,d\,a^2\,b+3\,c\,a\,b^2\right)}{b\,d}}-\frac{2\,b\,d^3\,\left(5\,B^2+6\,A\,B\right)}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)+\frac{4\,B^2\,b\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{b\,d^3\,\mathrm{atan}\left(\frac{b\,d^3\,\left(18\,A^2+30\,A\,B+55\,B^2\right)\,\left(9\,a^5\,d^5\,g^4\,i^2-27\,a^4\,b\,c\,d^4\,g^4\,i^2+18\,a^3\,b^2\,c^2\,d^3\,g^4\,i^2+18\,a^2\,b^3\,c^3\,d^2\,g^4\,i^2-27\,a\,b^4\,c^4\,d\,g^4\,i^2+9\,b^5\,c^5\,g^4\,i^2\right)\,2{}\mathrm{i}}{9\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5\,\left(36\,b\,A^2\,d^3+60\,b\,A\,B\,d^3+110\,b\,B^2\,d^3\right)}+\frac{b^2\,d^4\,x\,\left(18\,A^2+30\,A\,B+55\,B^2\right)\,\left(a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2\right)\,4{}\mathrm{i}}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^5\,\left(36\,b\,A^2\,d^3+60\,b\,A\,B\,d^3+110\,b\,B^2\,d^3\right)}\right)\,\left(18\,A^2+30\,A\,B+55\,B^2\right)\,4{}\mathrm{i}}{9\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"(log((e*(a + b*x))/(c + d*x))*(x^2*((4*B^2*b*d)/(g^4*i^2*(a*d - b*c)^3) - (4*b*d^3*(b*d*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + ((a*d + b*c)*(a*d - b*c))/d^2)*(5*B^2 + 6*A*B))/(3*g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + x*((8*(2*B^2 - 3*A*B))/(9*g^4*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B^2*(a*d + b*c))/(g^4*i^2*(a*d - b*c)^3) - (4*b*d^3*(((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2))*(a*d + b*c) + (a*c*(a*d - b*c))/d^2)*(5*B^2 + 6*A*B))/(3*g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (2*(B^2*b*c - 9*B^2*a*d + 9*A*B*a*d + 3*A*B*b*c))/(9*g^4*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (4*B^2*a*c)/(g^4*i^2*(a*d - b*c)^3) - (4*b^2*d^2*x^3*(5*B^2 + 6*A*B))/(3*g^4*i^2*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (4*a*b*c*d^3*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2))*(5*B^2 + 6*A*B))/(3*g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/(b^2*x^4 + (a^3*c)/(b*d) + (x*(a^3*d + 3*a^2*b*c))/(b*d) + (x^3*(b^3*c + 3*a*b^2*d))/(b*d) + (x^2*(3*a*b^2*c + 3*a^2*b*d))/(b*d)) - ((27*A^2*a^3*d^3 + 9*A^2*b^3*c^3 + 54*B^2*a^3*d^3 + 2*B^2*b^3*c^3 - 54*A*B*a^3*d^3 + 6*A*B*b^3*c^3 - 45*A^2*a*b^2*c^2*d + 117*A^2*a^2*b*c*d^2 - 25*B^2*a*b^2*c^2*d + 299*B^2*a^2*b*c*d^2 - 48*A*B*a*b^2*c^2*d + 276*A*B*a^2*b*c*d^2)/(3*(a*d - b*c)) + (2*x^3*(18*A^2*b^3*d^3 + 55*B^2*b^3*d^3 + 30*A*B*b^3*d^3))/(a*d - b*c) + (x*(198*A^2*a^2*b*d^3 + 461*B^2*a^2*b*d^3 - 18*A^2*b^3*c^2*d - 19*B^2*b^3*c^2*d + 144*A^2*a*b^2*c*d^2 + 548*B^2*a*b^2*c*d^2 + 114*A*B*a^2*b*d^3 - 30*A*B*b^3*c^2*d + 456*A*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (x^2*(90*A^2*a*b^2*d^3 + 245*B^2*a*b^2*d^3 + 18*A^2*b^3*c*d^2 + 85*B^2*b^3*c*d^2 + 114*A*B*a*b^2*d^3 + 66*A*B*b^3*c*d^2))/(a*d - b*c))/(x*(9*a^6*d^4*g^4*i^2 - 27*a^2*b^4*c^4*g^4*i^2 + 72*a^3*b^3*c^3*d*g^4*i^2 - 54*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(27*a*b^5*c^4*g^4*i^2 - 27*a^5*b*d^4*g^4*i^2 - 54*a^2*b^4*c^3*d*g^4*i^2 + 54*a^4*b^2*c*d^3*g^4*i^2) - x^3*(9*b^6*c^4*g^4*i^2 - 27*a^4*b^2*d^4*g^4*i^2 + 72*a^3*b^3*c*d^3*g^4*i^2 - 54*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(9*a^3*b^3*d^4*g^4*i^2 - 9*b^6*c^3*d*g^4*i^2 + 27*a*b^5*c^2*d^2*g^4*i^2 - 27*a^2*b^4*c*d^3*g^4*i^2) - 9*a^3*b^3*c^4*g^4*i^2 + 9*a^6*c*d^3*g^4*i^2 + 27*a^4*b^2*c^3*d*g^4*i^2 - 27*a^5*b*c^2*d^2*g^4*i^2) - log((e*(a + b*x))/(c + d*x))^2*((x*((4*B^2)/(3*g^4*i^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B^2*b*d^3*(((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2))*(a*d + b*c) + (a*c*(a*d - b*c))/d^2))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) + (B^2*(3*a*d + b*c))/(3*g^4*i^2*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (4*B^2*b^2*d^2*x^3)/(g^4*i^2*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (4*B^2*b*d^3*x^2*(b*d*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + ((a*d + b*c)*(a*d - b*c))/d^2))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (4*B^2*a*b*c*d^3*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(2*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)))/(g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/(b^2*x^4 + (a^3*c)/(b*d) + (x*(a^3*d + 3*a^2*b*c))/(b*d) + (x^3*(b^3*c + 3*a*b^2*d))/(b*d) + (x^2*(3*a*b^2*c + 3*a^2*b*d))/(b*d)) - (2*b*d^3*(5*B^2 + 6*A*B))/(3*g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (b*d^3*atan((b*d^3*(18*A^2 + 55*B^2 + 30*A*B)*(9*a^5*d^5*g^4*i^2 + 9*b^5*c^5*g^4*i^2 - 27*a*b^4*c^4*d*g^4*i^2 - 27*a^4*b*c*d^4*g^4*i^2 + 18*a^2*b^3*c^3*d^2*g^4*i^2 + 18*a^3*b^2*c^2*d^3*g^4*i^2)*2i)/(9*g^4*i^2*(a*d - b*c)^5*(36*A^2*b*d^3 + 110*B^2*b*d^3 + 60*A*B*b*d^3)) + (b^2*d^4*x*(18*A^2 + 55*B^2 + 30*A*B)*(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2)*4i)/(g^4*i^2*(a*d - b*c)^5*(36*A^2*b*d^3 + 110*B^2*b*d^3 + 60*A*B*b*d^3)))*(18*A^2 + 55*B^2 + 30*A*B)*4i)/(9*g^4*i^2*(a*d - b*c)^5) + (4*B^2*b*d^3*log((e*(a + b*x))/(c + d*x))^3)/(3*g^4*i^2*(a*d - b*c)^2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))","B"
100,0,-1,635,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^3, x)","F"
101,0,-1,410,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^3, x)","F"
102,1,474,141,6.404197,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2)/(c*i + d*i*x)^3,x)","-\frac{x\,\left(2\,b\,d\,g\,A^2-2\,b\,d\,g\,A\,B+b\,d\,g\,B^2\right)+A^2\,a\,d\,g+A^2\,b\,c\,g+\frac{B^2\,a\,d\,g}{2}+\frac{B^2\,b\,c\,g}{2}-A\,B\,a\,d\,g-A\,B\,b\,c\,g}{2\,c^2\,d^2\,i^3+4\,c\,d^3\,i^3\,x+2\,d^4\,i^3\,x^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,a\,g}{2\,d^2\,i^3}+\frac{B^2\,b\,c\,g}{2\,d^3\,i^3}+\frac{B^2\,b\,g\,x}{d^2\,i^3}}{2\,c\,x+d\,x^2+\frac{c^2}{d}}+\frac{B^2\,b^2\,g}{2\,d^2\,i^3\,\left(a\,d-b\,c\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{A\,B\,c\,g}{d^3\,i^3}-x\,\left(\frac{B^2\,g}{d^2\,i^3}-\frac{2\,A\,B\,g}{d^2\,i^3}\right)+\frac{B\,g\,\left(A\,a\,d-B\,a\,d+B\,b\,c\right)}{b\,d^3\,i^3}+\frac{B^2\,b^2\,g\,\left(\frac{a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2}{2\,b^3\,d}-\frac{c\,\left(a\,d-b\,c\right)}{2\,b^2\,d}\right)}{d^2\,i^3\,\left(a\,d-b\,c\right)}\right)}{\frac{d\,x^2}{b}+\frac{c^2}{b\,d}+\frac{2\,c\,x}{b}}+\frac{B\,b^2\,g\,\mathrm{atan}\left(\frac{\left(\frac{2\,a\,d^3\,i^3+2\,b\,c\,d^2\,i^3}{2\,d^2\,i^3}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(2\,A-B\right)\,1{}\mathrm{i}}{d^2\,i^3\,\left(a\,d-b\,c\right)}","Not used",1,"(B*b^2*g*atan((((2*a*d^3*i^3 + 2*b*c*d^2*i^3)/(2*d^2*i^3) + 2*b*d*x)*1i)/(a*d - b*c))*(2*A - B)*1i)/(d^2*i^3*(a*d - b*c)) - log((e*(a + b*x))/(c + d*x))^2*(((B^2*a*g)/(2*d^2*i^3) + (B^2*b*c*g)/(2*d^3*i^3) + (B^2*b*g*x)/(d^2*i^3))/(2*c*x + d*x^2 + c^2/d) + (B^2*b^2*g)/(2*d^2*i^3*(a*d - b*c))) - (log((e*(a + b*x))/(c + d*x))*((A*B*c*g)/(d^3*i^3) - x*((B^2*g)/(d^2*i^3) - (2*A*B*g)/(d^2*i^3)) + (B*g*(A*a*d - B*a*d + B*b*c))/(b*d^3*i^3) + (B^2*b^2*g*((a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d)/(2*b^3*d) - (c*(a*d - b*c))/(2*b^2*d)))/(d^2*i^3*(a*d - b*c))))/((d*x^2)/b + c^2/(b*d) + (2*c*x)/b) - (x*(2*A^2*b*d*g + B^2*b*d*g - 2*A*B*b*d*g) + A^2*a*d*g + A^2*b*c*g + (B^2*a*d*g)/2 + (B^2*b*c*g)/2 - A*B*a*d*g - A*B*b*c*g)/(2*c^2*d^2*i^3 + 2*d^4*i^3*x^2 + 4*c*d^3*i^3*x)","B"
103,1,507,296,6.478087,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(c*i + d*i*x)^3,x)","-\frac{\frac{2\,A^2\,a\,d-2\,A^2\,b\,c+B^2\,a\,d-7\,B^2\,b\,c-2\,A\,B\,a\,d+6\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}-\frac{x\,\left(3\,B^2\,b\,d-2\,A\,B\,b\,d\right)}{a\,d-b\,c}}{2\,c^2\,d\,i^3+4\,c\,d^2\,i^3\,x+2\,d^3\,i^3\,x^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{2\,d^2\,i^3\,\left(2\,c\,x+d\,x^2+\frac{c^2}{d}\right)}-\frac{B^2\,b^2}{2\,d\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{A\,B}{b\,d^2\,i^3}+\frac{B^2\,x\,\left(a\,d-b\,c\right)}{d\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,b^2\,\left(\frac{a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2}{2\,b^3\,d}-\frac{c\,\left(a\,d-b\,c\right)}{2\,b^2\,d}\right)}{d\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{d\,x^2}{b}+\frac{c^2}{b\,d}+\frac{2\,c\,x}{b}}+\frac{B\,b^2\,\mathrm{atan}\left(\frac{B\,b^2\,\left(2\,b\,d\,x+\frac{a^2\,d^3\,i^3-b^2\,c^2\,d\,i^3}{d\,i^3\,\left(a\,d-b\,c\right)}\right)\,\left(2\,A-3\,B\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(3\,B^2\,b^2-2\,A\,B\,b^2\right)}\right)\,\left(2\,A-3\,B\right)\,1{}\mathrm{i}}{d\,i^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(B*b^2*atan((B*b^2*(2*b*d*x + (a^2*d^3*i^3 - b^2*c^2*d*i^3)/(d*i^3*(a*d - b*c)))*(2*A - 3*B)*1i)/((a*d - b*c)*(3*B^2*b^2 - 2*A*B*b^2)))*(2*A - 3*B)*1i)/(d*i^3*(a*d - b*c)^2) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(2*d^2*i^3*(2*c*x + d*x^2 + c^2/d)) - (B^2*b^2)/(2*d*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (log((e*(a + b*x))/(c + d*x))*((A*B)/(b*d^2*i^3) + (B^2*x*(a*d - b*c))/(d*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*b^2*((a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d)/(2*b^3*d) - (c*(a*d - b*c))/(2*b^2*d)))/(d*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((d*x^2)/b + c^2/(b*d) + (2*c*x)/b) - ((2*A^2*a*d - 2*A^2*b*c + B^2*a*d - 7*B^2*b*c - 2*A*B*a*d + 6*A*B*b*c)/(2*(a*d - b*c)) - (x*(3*B^2*b*d - 2*A*B*b*d))/(a*d - b*c))/(2*c^2*d*i^3 + 2*d^3*i^3*x^2 + 4*c*d^2*i^3*x)","B"
104,1,984,375,8.104392,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)*(c*i + d*i*x)^3),x)","-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{\frac{B^2\,b^2\,\left(\frac{a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2}{2\,b^3\,d}-\frac{c\,\left(a\,d-b\,c\right)}{2\,b^2\,d}\right)}{g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2\,x\,\left(a\,d-b\,c\right)}{g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}}{\frac{d\,x^2}{b}+\frac{c^2}{b\,d}+\frac{2\,c\,x}{b}}+\frac{B\,b^2\,\left(2\,A-3\,B\right)}{2\,g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\frac{\frac{2\,A^2\,a\,d-6\,A^2\,b\,c+B^2\,a\,d-15\,B^2\,b\,c-2\,A\,B\,a\,d+14\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}-\frac{x\,\left(2\,b\,d\,A^2-6\,b\,d\,A\,B+7\,b\,d\,B^2\right)}{a\,d-b\,c}}{x^2\,\left(2\,a\,d^3\,g\,i^3-2\,b\,c\,d^2\,g\,i^3\right)+x\,\left(4\,a\,c\,d^2\,g\,i^3-4\,b\,c^2\,d\,g\,i^3\right)-2\,b\,c^3\,g\,i^3+2\,a\,c^2\,d\,g\,i^3}-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B^2}{b\,d\,g\,i^3\,\left(a\,d-b\,c\right)}+\frac{B\,b^2\,\left(\frac{a^2\,d^2-3\,a\,b\,c\,d+2\,b^2\,c^2}{2\,b^3\,d}-\frac{c\,\left(a\,d-b\,c\right)}{2\,b^2\,d}\right)\,\left(2\,A-3\,B\right)}{g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B\,x\,\left(2\,A-3\,B\right)\,\left(a\,d-b\,c\right)}{g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)}{\frac{d\,x^2}{b}+\frac{c^2}{b\,d}+\frac{2\,c\,x}{b}}-\frac{B^2\,b^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g\,i^3\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{b^2\,\mathrm{atan}\left(\frac{b^2\,\left(A^2-3\,A\,B+\frac{7\,B^2}{2}\right)\,\left(2\,g\,a^3\,d^3\,i^3-2\,g\,a^2\,b\,c\,d^2\,i^3-2\,g\,a\,b^2\,c^2\,d\,i^3+2\,g\,b^3\,c^3\,i^3\right)\,1{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,b^2-6\,A\,B\,b^2+7\,B^2\,b^2\right)}+\frac{b^3\,d\,x\,\left(g\,a^2\,d^2\,i^3-2\,g\,a\,b\,c\,d\,i^3+g\,b^2\,c^2\,i^3\right)\,\left(A^2-3\,A\,B+\frac{7\,B^2}{2}\right)\,4{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,b^2-6\,A\,B\,b^2+7\,B^2\,b^2\right)}\right)\,\left(A^2-3\,A\,B+\frac{7\,B^2}{2}\right)\,2{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(b^2*atan((b^2*(A^2 + (7*B^2)/2 - 3*A*B)*(2*a^3*d^3*g*i^3 + 2*b^3*c^3*g*i^3 - 2*a*b^2*c^2*d*g*i^3 - 2*a^2*b*c*d^2*g*i^3)*1i)/(g*i^3*(a*d - b*c)^3*(2*A^2*b^2 + 7*B^2*b^2 - 6*A*B*b^2)) + (b^3*d*x*(a^2*d^2*g*i^3 + b^2*c^2*g*i^3 - 2*a*b*c*d*g*i^3)*(A^2 + (7*B^2)/2 - 3*A*B)*4i)/(g*i^3*(a*d - b*c)^3*(2*A^2*b^2 + 7*B^2*b^2 - 6*A*B*b^2)))*(A^2 + (7*B^2)/2 - 3*A*B)*2i)/(g*i^3*(a*d - b*c)^3) - ((2*A^2*a*d - 6*A^2*b*c + B^2*a*d - 15*B^2*b*c - 2*A*B*a*d + 14*A*B*b*c)/(2*(a*d - b*c)) - (x*(2*A^2*b*d + 7*B^2*b*d - 6*A*B*b*d))/(a*d - b*c))/(x^2*(2*a*d^3*g*i^3 - 2*b*c*d^2*g*i^3) + x*(4*a*c*d^2*g*i^3 - 4*b*c^2*d*g*i^3) - 2*b*c^3*g*i^3 + 2*a*c^2*d*g*i^3) - (log((e*(a + b*x))/(c + d*x))*(B^2/(b*d*g*i^3*(a*d - b*c)) + (B*b^2*((a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d)/(2*b^3*d) - (c*(a*d - b*c))/(2*b^2*d))*(2*A - 3*B))/(g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B*x*(2*A - 3*B)*(a*d - b*c))/(g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((d*x^2)/b + c^2/(b*d) + (2*c*x)/b) - log((e*(a + b*x))/(c + d*x))^2*(((B^2*b^2*((a^2*d^2 + 2*b^2*c^2 - 3*a*b*c*d)/(2*b^3*d) - (c*(a*d - b*c))/(2*b^2*d)))/(g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B^2*x*(a*d - b*c))/(g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)))/((d*x^2)/b + c^2/(b*d) + (2*c*x)/b) + (B*b^2*(2*A - 3*B))/(2*g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (B^2*b^2*log((e*(a + b*x))/(c + d*x))^3)/(3*g*i^3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))","B"
105,1,1505,525,11.558228,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x)","\frac{\frac{-2\,A^2\,a^2\,d^2+10\,A^2\,a\,b\,c\,d+4\,A^2\,b^2\,c^2+2\,A\,B\,a^2\,d^2-22\,A\,B\,a\,b\,c\,d+8\,A\,B\,b^2\,c^2-B^2\,a^2\,d^2+23\,B^2\,a\,b\,c\,d+8\,B^2\,b^2\,c^2}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A^2\,b^2\,d^2-2\,A\,B\,b^2\,d^2+5\,B^2\,b^2\,d^2\right)}{a\,d-b\,c}+\frac{3\,x\,\left(6\,c\,A^2\,b^2\,d+2\,a\,A^2\,b\,d^2-2\,c\,A\,B\,b^2\,d-6\,a\,A\,B\,b\,d^2+13\,c\,B^2\,b^2\,d+7\,a\,B^2\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(4\,a^3\,c\,d^3\,g^2\,i^3-6\,a^2\,b\,c^2\,d^2\,g^2\,i^3+2\,b^3\,c^4\,g^2\,i^3\right)+x^2\,\left(2\,a^3\,d^4\,g^2\,i^3-6\,a\,b^2\,c^2\,d^2\,g^2\,i^3+4\,b^3\,c^3\,d\,g^2\,i^3\right)+x^3\,\left(2\,a^2\,b\,d^4\,g^2\,i^3-4\,a\,b^2\,c\,d^3\,g^2\,i^3+2\,b^3\,c^2\,d^2\,g^2\,i^3\right)+2\,a^3\,c^2\,d^2\,g^2\,i^3+2\,a\,b^2\,c^4\,g^2\,i^3-4\,a^2\,b\,c^3\,d\,g^2\,i^3}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(\frac{3\,B^2}{2\,g^2\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{3\,B^2\,\left(a\,d+b\,c\right)}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{B^2\,\left(a\,d+2\,b\,c\right)}{2\,g^2\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}-\frac{3\,B^2\,a\,c}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{3\,B^2\,b\,d\,x^2}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{d\,x^3+\frac{a\,c^2}{b\,d}+\frac{x^2\,\left(a\,d^2+2\,b\,c\,d\right)}{b\,d}+\frac{x\,\left(b\,c^2+2\,a\,d\,c\right)}{b\,d}}+\frac{3\,B\,b^2\,d\,\left(2\,A-B\right)}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x\,\left(\frac{3\,\left(B^2+2\,A\,B\right)}{2\,g^2\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{3\,B\,\left(2\,A-B\right)\,\left(a\,d+b\,c\right)}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{4\,B^2\,b\,c-B^2\,a\,d+2\,A\,B\,a\,d+4\,A\,B\,b\,c}{2\,g^2\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}-\frac{3\,B\,a\,c\,\left(2\,A-B\right)}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{3\,B\,b\,d\,x^2\,\left(2\,A-B\right)}{g^2\,i^3\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{d\,x^3+\frac{a\,c^2}{b\,d}+\frac{x^2\,\left(a\,d^2+2\,b\,c\,d\right)}{b\,d}+\frac{x\,\left(b\,c^2+2\,a\,d\,c\right)}{b\,d}}-\frac{B^2\,b^2\,d\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b^2\,d\,\mathrm{atan}\left(\frac{b^2\,d\,\left(2\,A^2-2\,A\,B+5\,B^2\right)\,\left(2\,a^4\,d^4\,g^2\,i^3-4\,a^3\,b\,c\,d^3\,g^2\,i^3+4\,a\,b^3\,c^3\,d\,g^2\,i^3-2\,b^4\,c^4\,g^2\,i^3\right)\,3{}\mathrm{i}}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(6\,d\,A^2\,b^2-6\,d\,A\,B\,b^2+15\,d\,B^2\,b^2\right)}+\frac{b^3\,d^2\,x\,\left(2\,A^2-2\,A\,B+5\,B^2\right)\,\left(a^3\,d^3\,g^2\,i^3-3\,a^2\,b\,c\,d^2\,g^2\,i^3+3\,a\,b^2\,c^2\,d\,g^2\,i^3-b^3\,c^3\,g^2\,i^3\right)\,6{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(6\,d\,A^2\,b^2-6\,d\,A\,B\,b^2+15\,d\,B^2\,b^2\right)}\right)\,\left(2\,A^2-2\,A\,B+5\,B^2\right)\,3{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"((4*A^2*b^2*c^2 - 2*A^2*a^2*d^2 - B^2*a^2*d^2 + 8*B^2*b^2*c^2 + 2*A*B*a^2*d^2 + 8*A*B*b^2*c^2 + 10*A^2*a*b*c*d + 23*B^2*a*b*c*d - 22*A*B*a*b*c*d)/(2*(a*d - b*c)) + (3*x^2*(2*A^2*b^2*d^2 + 5*B^2*b^2*d^2 - 2*A*B*b^2*d^2))/(a*d - b*c) + (3*x*(2*A^2*a*b*d^2 + 7*B^2*a*b*d^2 + 6*A^2*b^2*c*d + 13*B^2*b^2*c*d - 6*A*B*a*b*d^2 - 2*A*B*b^2*c*d))/(2*(a*d - b*c)))/(x*(2*b^3*c^4*g^2*i^3 + 4*a^3*c*d^3*g^2*i^3 - 6*a^2*b*c^2*d^2*g^2*i^3) + x^2*(2*a^3*d^4*g^2*i^3 + 4*b^3*c^3*d*g^2*i^3 - 6*a*b^2*c^2*d^2*g^2*i^3) + x^3*(2*b^3*c^2*d^2*g^2*i^3 + 2*a^2*b*d^4*g^2*i^3 - 4*a*b^2*c*d^3*g^2*i^3) + 2*a^3*c^2*d^2*g^2*i^3 + 2*a*b^2*c^4*g^2*i^3 - 4*a^2*b*c^3*d*g^2*i^3) - log((e*(a + b*x))/(c + d*x))^2*((x*((3*B^2)/(2*g^2*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (3*B^2*(a*d + b*c))/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (B^2*(a*d + 2*b*c))/(2*g^2*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) - (3*B^2*a*c)/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (3*B^2*b*d*x^2)/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(d*x^3 + (a*c^2)/(b*d) + (x^2*(a*d^2 + 2*b*c*d))/(b*d) + (x*(b*c^2 + 2*a*c*d))/(b*d)) + (3*B*b^2*d*(2*A - B))/(2*g^2*i^3*(a*d - b*c)^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (log((e*(a + b*x))/(c + d*x))*(x*((3*(B^2 + 2*A*B))/(2*g^2*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (3*B*(2*A - B)*(a*d + b*c))/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (4*B^2*b*c - B^2*a*d + 2*A*B*a*d + 4*A*B*b*c)/(2*g^2*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) - (3*B*a*c*(2*A - B))/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (3*B*b*d*x^2*(2*A - B))/(g^2*i^3*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/(d*x^3 + (a*c^2)/(b*d) + (x^2*(a*d^2 + 2*b*c*d))/(b*d) + (x*(b*c^2 + 2*a*c*d))/(b*d)) + (b^2*d*atan((b^2*d*(2*A^2 + 5*B^2 - 2*A*B)*(2*a^4*d^4*g^2*i^3 - 2*b^4*c^4*g^2*i^3 + 4*a*b^3*c^3*d*g^2*i^3 - 4*a^3*b*c*d^3*g^2*i^3)*3i)/(2*g^2*i^3*(a*d - b*c)^4*(6*A^2*b^2*d + 15*B^2*b^2*d - 6*A*B*b^2*d)) + (b^3*d^2*x*(2*A^2 + 5*B^2 - 2*A*B)*(a^3*d^3*g^2*i^3 - b^3*c^3*g^2*i^3 + 3*a*b^2*c^2*d*g^2*i^3 - 3*a^2*b*c*d^2*g^2*i^3)*6i)/(g^2*i^3*(a*d - b*c)^4*(6*A^2*b^2*d + 15*B^2*b^2*d - 6*A*B*b^2*d)))*(2*A^2 + 5*B^2 - 2*A*B)*3i)/(g^2*i^3*(a*d - b*c)^4) - (B^2*b^2*d*log((e*(a + b*x))/(c + d*x))^3)/(g^2*i^3*(a*d - b*c)^2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
106,1,2155,685,14.311122,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x)","\frac{\frac{2\,x\,\left(2\,A^2\,a^2\,b\,d^3+14\,A^2\,a\,b^2\,c\,d^2+2\,A^2\,b^3\,c^2\,d-6\,A\,B\,a^2\,b\,d^3+6\,A\,B\,b^3\,c^2\,d+7\,B^2\,a^2\,b\,d^3+31\,B^2\,a\,b^2\,c\,d^2+7\,B^2\,b^3\,c^2\,d\right)}{a\,d-b\,c}-\frac{2\,A^2\,a^3\,d^3-14\,A^2\,a^2\,b\,c\,d^2-14\,A^2\,a\,b^2\,c^2\,d+2\,A^2\,b^3\,c^3-2\,A\,B\,a^3\,d^3+30\,A\,B\,a^2\,b\,c\,d^2-30\,A\,B\,a\,b^2\,c^2\,d+2\,A\,B\,b^3\,c^3+B^2\,a^3\,d^3-31\,B^2\,a^2\,b\,c\,d^2-31\,B^2\,a\,b^2\,c^2\,d+B^2\,b^3\,c^3}{2\,\left(a\,d-b\,c\right)}+\frac{6\,x^3\,\left(2\,A^2\,b^3\,d^3+5\,B^2\,b^3\,d^3\right)}{a\,d-b\,c}+\frac{3\,x^2\,\left(6\,c\,A^2\,b^3\,d^2+6\,a\,A^2\,b^2\,d^3+4\,c\,A\,B\,b^3\,d^2-4\,a\,A\,B\,b^2\,d^3+15\,c\,B^2\,b^3\,d^2+15\,a\,B^2\,b^2\,d^3\right)}{a\,d-b\,c}}{x^4\,\left(2\,a^3\,b^2\,d^5\,g^3\,i^3-6\,a^2\,b^3\,c\,d^4\,g^3\,i^3+6\,a\,b^4\,c^2\,d^3\,g^3\,i^3-2\,b^5\,c^3\,d^2\,g^3\,i^3\right)-x\,\left(-4\,a^5\,c\,d^4\,g^3\,i^3+8\,a^4\,b\,c^2\,d^3\,g^3\,i^3-8\,a^2\,b^3\,c^4\,d\,g^3\,i^3+4\,a\,b^4\,c^5\,g^3\,i^3\right)+x^3\,\left(4\,a^4\,b\,d^5\,g^3\,i^3-8\,a^3\,b^2\,c\,d^4\,g^3\,i^3+8\,a\,b^4\,c^3\,d^2\,g^3\,i^3-4\,b^5\,c^4\,d\,g^3\,i^3\right)+x^2\,\left(2\,a^5\,d^5\,g^3\,i^3+2\,a^4\,b\,c\,d^4\,g^3\,i^3-16\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+16\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-2\,a\,b^4\,c^4\,d\,g^3\,i^3-2\,b^5\,c^5\,g^3\,i^3\right)-2\,a^2\,b^3\,c^5\,g^3\,i^3+2\,a^5\,c^2\,d^3\,g^3\,i^3+6\,a^3\,b^2\,c^4\,d\,g^3\,i^3-6\,a^4\,b\,c^3\,d^2\,g^3\,i^3}+{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(\frac{3\,B^2\,{\left(a\,d+b\,c\right)}^2}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{B^2}{g^3\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{6\,B^2\,a\,b\,c\,d}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B^2\,\left(a\,d+b\,c\right)}{2\,g^3\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{6\,B^2\,b^2\,d^2\,x^3}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{3\,B^2\,a\,c\,\left(a\,d+b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{9\,B^2\,b\,d\,x^2\,\left(a\,d+b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}}{b\,d\,x^4+\frac{a^2\,c^2}{b\,d}+\frac{x\,\left(2\,d\,a^2\,c+2\,b\,a\,c^2\right)}{b\,d}+\frac{x^2\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{b\,d}+\frac{x^3\,\left(2\,c\,b^2\,d+2\,a\,b\,d^2\right)}{b\,d}}-\frac{6\,A\,B\,b^2\,d^2}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}\right)+\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(\frac{6\,b\,d\,\left(B^2\,b\,c-B^2\,a\,d+A\,B\,a\,d+A\,B\,b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{12\,A\,B\,b\,d\,\left(a\,d+b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)+x\,\left(\frac{6\,\left(a\,d+b\,c\right)\,\left(B^2\,b\,c-B^2\,a\,d+A\,B\,a\,d+A\,B\,b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{2\,A\,B}{g^3\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{12\,A\,B\,a\,b\,c\,d}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B^2\,b\,c-B^2\,a\,d+2\,A\,B\,a\,d+2\,A\,B\,b\,c}{2\,g^3\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{6\,a\,c\,\left(B^2\,b\,c-B^2\,a\,d+A\,B\,a\,d+A\,B\,b\,c\right)}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{12\,A\,B\,b^2\,d^2\,x^3}{g^3\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)}{b\,d\,x^4+\frac{a^2\,c^2}{b\,d}+\frac{x\,\left(2\,d\,a^2\,c+2\,b\,a\,c^2\right)}{b\,d}+\frac{x^2\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{b\,d}+\frac{x^3\,\left(2\,c\,b^2\,d+2\,a\,b\,d^2\right)}{b\,d}}-\frac{2\,B^2\,b^2\,d^2\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}+\frac{b^2\,d^2\,\mathrm{atan}\left(\frac{b^2\,d^2\,\left(\frac{a^5\,d^5\,g^3\,i^3-3\,a^4\,b\,c\,d^4\,g^3\,i^3+2\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+2\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-3\,a\,b^4\,c^4\,d\,g^3\,i^3+b^5\,c^5\,g^3\,i^3}{a^4\,d^4\,g^3\,i^3-4\,a^3\,b\,c\,d^3\,g^3\,i^3+6\,a^2\,b^2\,c^2\,d^2\,g^3\,i^3-4\,a\,b^3\,c^3\,d\,g^3\,i^3+b^4\,c^4\,g^3\,i^3}+2\,b\,d\,x\right)\,\left(2\,A^2+5\,B^2\right)\,\left(a^4\,d^4\,g^3\,i^3-4\,a^3\,b\,c\,d^3\,g^3\,i^3+6\,a^2\,b^2\,c^2\,d^2\,g^3\,i^3-4\,a\,b^3\,c^3\,d\,g^3\,i^3+b^4\,c^4\,g^3\,i^3\right)\,3{}\mathrm{i}}{g^3\,i^3\,\left(6\,A^2\,b^2\,d^2+15\,B^2\,b^2\,d^2\right)\,{\left(a\,d-b\,c\right)}^5}\right)\,\left(2\,A^2+5\,B^2\right)\,6{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"((2*x*(2*A^2*a^2*b*d^3 + 7*B^2*a^2*b*d^3 + 2*A^2*b^3*c^2*d + 7*B^2*b^3*c^2*d + 14*A^2*a*b^2*c*d^2 + 31*B^2*a*b^2*c*d^2 - 6*A*B*a^2*b*d^3 + 6*A*B*b^3*c^2*d))/(a*d - b*c) - (2*A^2*a^3*d^3 + 2*A^2*b^3*c^3 + B^2*a^3*d^3 + B^2*b^3*c^3 - 2*A*B*a^3*d^3 + 2*A*B*b^3*c^3 - 14*A^2*a*b^2*c^2*d - 14*A^2*a^2*b*c*d^2 - 31*B^2*a*b^2*c^2*d - 31*B^2*a^2*b*c*d^2 - 30*A*B*a*b^2*c^2*d + 30*A*B*a^2*b*c*d^2)/(2*(a*d - b*c)) + (6*x^3*(2*A^2*b^3*d^3 + 5*B^2*b^3*d^3))/(a*d - b*c) + (3*x^2*(6*A^2*a*b^2*d^3 + 15*B^2*a*b^2*d^3 + 6*A^2*b^3*c*d^2 + 15*B^2*b^3*c*d^2 - 4*A*B*a*b^2*d^3 + 4*A*B*b^3*c*d^2))/(a*d - b*c))/(x^4*(2*a^3*b^2*d^5*g^3*i^3 - 2*b^5*c^3*d^2*g^3*i^3 + 6*a*b^4*c^2*d^3*g^3*i^3 - 6*a^2*b^3*c*d^4*g^3*i^3) - x*(4*a*b^4*c^5*g^3*i^3 - 4*a^5*c*d^4*g^3*i^3 - 8*a^2*b^3*c^4*d*g^3*i^3 + 8*a^4*b*c^2*d^3*g^3*i^3) + x^3*(4*a^4*b*d^5*g^3*i^3 - 4*b^5*c^4*d*g^3*i^3 + 8*a*b^4*c^3*d^2*g^3*i^3 - 8*a^3*b^2*c*d^4*g^3*i^3) + x^2*(2*a^5*d^5*g^3*i^3 - 2*b^5*c^5*g^3*i^3 - 2*a*b^4*c^4*d*g^3*i^3 + 2*a^4*b*c*d^4*g^3*i^3 + 16*a^2*b^3*c^3*d^2*g^3*i^3 - 16*a^3*b^2*c^2*d^3*g^3*i^3) - 2*a^2*b^3*c^5*g^3*i^3 + 2*a^5*c^2*d^3*g^3*i^3 + 6*a^3*b^2*c^4*d*g^3*i^3 - 6*a^4*b*c^3*d^2*g^3*i^3) + log((e*(a + b*x))/(c + d*x))^2*((x*((3*B^2*(a*d + b*c)^2)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - B^2/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (6*B^2*a*b*c*d)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)) - (B^2*(a*d + b*c))/(2*g^3*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (6*B^2*b^2*d^2*x^3)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (3*B^2*a*c*(a*d + b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (9*B^2*b*d*x^2*(a*d + b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2))/(b*d*x^4 + (a^2*c^2)/(b*d) + (x*(2*a*b*c^2 + 2*a^2*c*d))/(b*d) + (x^2*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(b*d) + (x^3*(2*a*b*d^2 + 2*b^2*c*d))/(b*d)) - (6*A*B*b^2*d^2)/(g^3*i^3*(a*d - b*c)^5)) + (log((e*(a + b*x))/(c + d*x))*(x^2*((6*b*d*(B^2*b*c - B^2*a*d + A*B*a*d + A*B*b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (12*A*B*b*d*(a*d + b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)) + x*((6*(a*d + b*c)*(B^2*b*c - B^2*a*d + A*B*a*d + A*B*b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (2*A*B)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (12*A*B*a*b*c*d)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)) - (B^2*b*c - B^2*a*d + 2*A*B*a*d + 2*A*B*b*c)/(2*g^3*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (6*a*c*(B^2*b*c - B^2*a*d + A*B*a*d + A*B*b*c))/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (12*A*B*b^2*d^2*x^3)/(g^3*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)))/(b*d*x^4 + (a^2*c^2)/(b*d) + (x*(2*a*b*c^2 + 2*a^2*c*d))/(b*d) + (x^2*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/(b*d) + (x^3*(2*a*b*d^2 + 2*b^2*c*d))/(b*d)) - (2*B^2*b^2*d^2*log((e*(a + b*x))/(c + d*x))^3)/(g^3*i^3*(a*d - b*c)^5) + (b^2*d^2*atan((b^2*d^2*((a^5*d^5*g^3*i^3 + b^5*c^5*g^3*i^3 - 3*a*b^4*c^4*d*g^3*i^3 - 3*a^4*b*c*d^4*g^3*i^3 + 2*a^2*b^3*c^3*d^2*g^3*i^3 + 2*a^3*b^2*c^2*d^3*g^3*i^3)/(a^4*d^4*g^3*i^3 + b^4*c^4*g^3*i^3 - 4*a*b^3*c^3*d*g^3*i^3 - 4*a^3*b*c*d^3*g^3*i^3 + 6*a^2*b^2*c^2*d^2*g^3*i^3) + 2*b*d*x)*(2*A^2 + 5*B^2)*(a^4*d^4*g^3*i^3 + b^4*c^4*g^3*i^3 - 4*a*b^3*c^3*d*g^3*i^3 - 4*a^3*b*c*d^3*g^3*i^3 + 6*a^2*b^2*c^2*d^2*g^3*i^3)*3i)/(g^3*i^3*(6*A^2*b^2*d^2 + 15*B^2*b^2*d^2)*(a*d - b*c)^5))*(2*A^2 + 5*B^2)*6i)/(g^3*i^3*(a*d - b*c)^5)","B"
107,1,3550,851,18.950085,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x)","\frac{\frac{-54\,A^2\,a^4\,d^4+486\,A^2\,a^3\,b\,c\,d^3+846\,A^2\,a^2\,b^2\,c^2\,d^2-234\,A^2\,a\,b^3\,c^3\,d+36\,A^2\,b^4\,c^4+54\,A\,B\,a^4\,d^4-1026\,A\,B\,a^3\,b\,c\,d^3+1914\,A\,B\,a^2\,b^2\,c^2\,d^2-246\,A\,B\,a\,b^3\,c^3\,d+24\,A\,B\,b^4\,c^4-27\,B^2\,a^4\,d^4+1053\,B^2\,a^3\,b\,c\,d^3+2033\,B^2\,a^2\,b^2\,c^2\,d^2-127\,B^2\,a\,b^3\,c^3\,d+8\,B^2\,b^4\,c^4}{6\,\left(a\,d-b\,c\right)}+\frac{10\,x^4\,\left(18\,A^2\,b^4\,d^4+12\,A\,B\,b^4\,d^4+49\,B^2\,b^4\,d^4\right)}{a\,d-b\,c}+\frac{5\,x\,\left(54\,A^2\,a^3\,b\,d^4+630\,A^2\,a^2\,b^2\,c\,d^3+198\,A^2\,a\,b^3\,c^2\,d^2-18\,A^2\,b^4\,c^3\,d-162\,A\,B\,a^3\,b\,d^4+150\,A\,B\,a^2\,b^2\,c\,d^3+618\,A\,B\,a\,b^3\,c^2\,d^2-30\,A\,B\,b^4\,c^3\,d+189\,B^2\,a^3\,b\,d^4+1445\,B^2\,a^2\,b^2\,c\,d^3+737\,B^2\,a\,b^3\,c^2\,d^2-19\,B^2\,b^4\,c^3\,d\right)}{6\,\left(a\,d-b\,c\right)}+\frac{5\,x^2\,\left(198\,A^2\,a^2\,b^2\,d^4+414\,A^2\,a\,b^3\,c\,d^3+36\,A^2\,b^4\,c^2\,d^2-84\,A\,B\,a^2\,b^2\,d^4+384\,A\,B\,a\,b^3\,c\,d^3+132\,A\,B\,b^4\,c^2\,d^2+503\,B^2\,a^2\,b^2\,d^4+1091\,B^2\,a\,b^3\,c\,d^3+170\,B^2\,b^4\,c^2\,d^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{5\,x^3\,\left(54\,c\,A^2\,b^4\,d^3+90\,a\,A^2\,b^3\,d^4+72\,c\,A\,B\,b^4\,d^3+24\,a\,A\,B\,b^3\,d^4+159\,c\,B^2\,b^4\,d^3+233\,a\,B^2\,b^3\,d^4\right)}{a\,d-b\,c}}{x^5\,\left(18\,a^4\,b^3\,d^6\,g^4\,i^3-72\,a^3\,b^4\,c\,d^5\,g^4\,i^3+108\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-72\,a\,b^6\,c^3\,d^3\,g^4\,i^3+18\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(36\,a^7\,c\,d^5\,g^4\,i^3-90\,a^6\,b\,c^2\,d^4\,g^4\,i^3+180\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-180\,a^3\,b^4\,c^5\,d\,g^4\,i^3+54\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(18\,a^7\,d^6\,g^4\,i^3+36\,a^6\,b\,c\,d^5\,g^4\,i^3-270\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+360\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-90\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-108\,a^2\,b^5\,c^5\,d\,g^4\,i^3+54\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(54\,a^6\,b\,d^6\,g^4\,i^3-108\,a^5\,b^2\,c\,d^5\,g^4\,i^3-90\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+360\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-270\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+36\,a\,b^6\,c^5\,d\,g^4\,i^3+18\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(54\,a^5\,b^2\,d^6\,g^4\,i^3-180\,a^4\,b^3\,c\,d^5\,g^4\,i^3+180\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-90\,a\,b^6\,c^4\,d^2\,g^4\,i^3+36\,b^7\,c^5\,d\,g^4\,i^3\right)+18\,a^3\,b^4\,c^6\,g^4\,i^3+18\,a^7\,c^2\,d^4\,g^4\,i^3-72\,a^4\,b^3\,c^5\,d\,g^4\,i^3-72\,a^6\,b\,c^3\,d^3\,g^4\,i^3+108\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3}+{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{x\,\left(\frac{5\,B^2\,\left(a\,d+b\,c\right)\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{5\,B^2}{6\,g^4\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B^2\,a\,b\,c\,d}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B^2\,a\,b\,c\,d\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x^3\,\left(\frac{5\,B^2\,b^2\,d^2}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B^2\,b^2\,d^2\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x^2\,\left(\frac{5\,B^2\,b\,d\,\left(a\,d+b\,c\right)}{g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B^2\,b\,d\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{10\,B^2\,b^2\,d^3\,\left(\frac{2\,a\,c\,\left(a\,d-b\,c\right)}{d}+\frac{{\left(a\,d+b\,c\right)}^2\,\left(a\,d-b\,c\right)}{b\,d^2}\right)}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{B^2\,\left(3\,a\,d+2\,b\,c\right)}{6\,g^4\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{5\,B^2\,a\,c\,\left(2\,a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{10\,B^2\,b^3\,d^3\,x^4}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{10\,B^2\,a^2\,b\,c^2\,d}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{b^2\,d\,x^5+\frac{x^4\,\left(2\,c\,b^3\,d+3\,a\,b^2\,d^2\right)}{b\,d}+\frac{a^3\,c^2}{b\,d}+\frac{x^2\,\left(a^3\,d^2+6\,a^2\,b\,c\,d+3\,a\,b^2\,c^2\right)}{b\,d}+\frac{x^3\,\left(3\,a^2\,b\,d^2+6\,a\,b^2\,c\,d+b^3\,c^2\right)}{b\,d}+\frac{x\,\left(2\,d\,a^3\,c+3\,b\,a^2\,c^2\right)}{b\,d}}-\frac{10\,B\,b^2\,d^3\,\left(3\,A+B\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(x^2\,\left(\frac{10\,b\,d\,\left(B^2\,b\,c-7\,B^2\,a\,d+6\,A\,B\,a\,d+3\,A\,B\,b\,c\right)}{9\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{10\,\left(a\,d+b\,c\right)\,\left(2\,B^2\,b\,d-3\,A\,B\,b\,d\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B\,b^2\,d^3\,\left(3\,A+B\right)\,\left(\frac{2\,a\,c\,\left(a\,d-b\,c\right)}{d}+\frac{{\left(a\,d+b\,c\right)}^2\,\left(a\,d-b\,c\right)}{b\,d^2}\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-x^3\,\left(\frac{10\,b\,d\,\left(2\,B^2\,b\,d-3\,A\,B\,b\,d\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{40\,B\,b^2\,d^2\,\left(3\,A+B\right)\,\left(a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)+x\,\left(\frac{5\,\left(B^2-6\,A\,B\right)}{18\,g^4\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{10\,\left(a\,d+b\,c\right)\,\left(B^2\,b\,c-7\,B^2\,a\,d+6\,A\,B\,a\,d+3\,A\,B\,b\,c\right)}{9\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{10\,a\,c\,\left(2\,B^2\,b\,d-3\,A\,B\,b\,d\right)}{3\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{40\,B\,a\,b\,c\,d\,\left(3\,A+B\right)\,\left(a\,d+b\,c\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{4\,B^2\,b\,c-9\,B^2\,a\,d+18\,A\,B\,a\,d+12\,A\,B\,b\,c}{18\,g^4\,i^3\,\left(a^2\,b\,d^3-2\,a\,b^2\,c\,d^2+b^3\,c^2\,d\right)}+\frac{10\,a\,c\,\left(B^2\,b\,c-7\,B^2\,a\,d+6\,A\,B\,a\,d+3\,A\,B\,b\,c\right)}{9\,g^4\,i^3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{20\,B\,b^3\,d^3\,x^4\,\left(3\,A+B\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{20\,B\,a^2\,b\,c^2\,d\,\left(3\,A+B\right)}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{b^2\,d\,x^5+\frac{x^4\,\left(2\,c\,b^3\,d+3\,a\,b^2\,d^2\right)}{b\,d}+\frac{a^3\,c^2}{b\,d}+\frac{x^2\,\left(a^3\,d^2+6\,a^2\,b\,c\,d+3\,a\,b^2\,c^2\right)}{b\,d}+\frac{x^3\,\left(3\,a^2\,b\,d^2+6\,a\,b^2\,c\,d+b^3\,c^2\right)}{b\,d}+\frac{x\,\left(2\,d\,a^3\,c+3\,b\,a^2\,c^2\right)}{b\,d}}-\frac{10\,B^2\,b^2\,d^3\,{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^3}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b^2\,d^3\,\mathrm{atan}\left(\frac{b^2\,d^3\,\left(18\,A^2+12\,A\,B+49\,B^2\right)\,\left(9\,a^6\,d^6\,g^4\,i^3-36\,a^5\,b\,c\,d^5\,g^4\,i^3+45\,a^4\,b^2\,c^2\,d^4\,g^4\,i^3-45\,a^2\,b^4\,c^4\,d^2\,g^4\,i^3+36\,a\,b^5\,c^5\,d\,g^4\,i^3-9\,b^6\,c^6\,g^4\,i^3\right)\,5{}\mathrm{i}}{9\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6\,\left(90\,A^2\,b^2\,d^3+60\,A\,B\,b^2\,d^3+245\,B^2\,b^2\,d^3\right)}+\frac{b^3\,d^4\,x\,\left(18\,A^2+12\,A\,B+49\,B^2\right)\,\left(a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3\right)\,10{}\mathrm{i}}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^6\,\left(90\,A^2\,b^2\,d^3+60\,A\,B\,b^2\,d^3+245\,B^2\,b^2\,d^3\right)}\right)\,\left(18\,A^2+12\,A\,B+49\,B^2\right)\,10{}\mathrm{i}}{9\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6}","Not used",1,"((36*A^2*b^4*c^4 - 54*A^2*a^4*d^4 - 27*B^2*a^4*d^4 + 8*B^2*b^4*c^4 + 54*A*B*a^4*d^4 + 24*A*B*b^4*c^4 + 846*A^2*a^2*b^2*c^2*d^2 + 2033*B^2*a^2*b^2*c^2*d^2 - 234*A^2*a*b^3*c^3*d + 486*A^2*a^3*b*c*d^3 - 127*B^2*a*b^3*c^3*d + 1053*B^2*a^3*b*c*d^3 - 246*A*B*a*b^3*c^3*d - 1026*A*B*a^3*b*c*d^3 + 1914*A*B*a^2*b^2*c^2*d^2)/(6*(a*d - b*c)) + (10*x^4*(18*A^2*b^4*d^4 + 49*B^2*b^4*d^4 + 12*A*B*b^4*d^4))/(a*d - b*c) + (5*x*(54*A^2*a^3*b*d^4 + 189*B^2*a^3*b*d^4 - 18*A^2*b^4*c^3*d - 19*B^2*b^4*c^3*d + 198*A^2*a*b^3*c^2*d^2 + 630*A^2*a^2*b^2*c*d^3 + 737*B^2*a*b^3*c^2*d^2 + 1445*B^2*a^2*b^2*c*d^3 - 162*A*B*a^3*b*d^4 - 30*A*B*b^4*c^3*d + 618*A*B*a*b^3*c^2*d^2 + 150*A*B*a^2*b^2*c*d^3))/(6*(a*d - b*c)) + (5*x^2*(198*A^2*a^2*b^2*d^4 + 503*B^2*a^2*b^2*d^4 + 36*A^2*b^4*c^2*d^2 + 170*B^2*b^4*c^2*d^2 - 84*A*B*a^2*b^2*d^4 + 132*A*B*b^4*c^2*d^2 + 414*A^2*a*b^3*c*d^3 + 1091*B^2*a*b^3*c*d^3 + 384*A*B*a*b^3*c*d^3))/(3*(a*d - b*c)) + (5*x^3*(90*A^2*a*b^3*d^4 + 233*B^2*a*b^3*d^4 + 54*A^2*b^4*c*d^3 + 159*B^2*b^4*c*d^3 + 24*A*B*a*b^3*d^4 + 72*A*B*b^4*c*d^3))/(a*d - b*c))/(x^5*(18*a^4*b^3*d^6*g^4*i^3 + 18*b^7*c^4*d^2*g^4*i^3 - 72*a*b^6*c^3*d^3*g^4*i^3 - 72*a^3*b^4*c*d^5*g^4*i^3 + 108*a^2*b^5*c^2*d^4*g^4*i^3) + x*(54*a^2*b^5*c^6*g^4*i^3 + 36*a^7*c*d^5*g^4*i^3 - 180*a^3*b^4*c^5*d*g^4*i^3 - 90*a^6*b*c^2*d^4*g^4*i^3 + 180*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(18*a^7*d^6*g^4*i^3 + 54*a*b^6*c^6*g^4*i^3 + 36*a^6*b*c*d^5*g^4*i^3 - 108*a^2*b^5*c^5*d*g^4*i^3 - 90*a^3*b^4*c^4*d^2*g^4*i^3 + 360*a^4*b^3*c^3*d^3*g^4*i^3 - 270*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(18*b^7*c^6*g^4*i^3 + 54*a^6*b*d^6*g^4*i^3 + 36*a*b^6*c^5*d*g^4*i^3 - 108*a^5*b^2*c*d^5*g^4*i^3 - 270*a^2*b^5*c^4*d^2*g^4*i^3 + 360*a^3*b^4*c^3*d^3*g^4*i^3 - 90*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(54*a^5*b^2*d^6*g^4*i^3 + 36*b^7*c^5*d*g^4*i^3 - 90*a*b^6*c^4*d^2*g^4*i^3 - 180*a^4*b^3*c*d^5*g^4*i^3 + 180*a^3*b^4*c^2*d^4*g^4*i^3) + 18*a^3*b^4*c^6*g^4*i^3 + 18*a^7*c^2*d^4*g^4*i^3 - 72*a^4*b^3*c^5*d*g^4*i^3 - 72*a^6*b*c^3*d^3*g^4*i^3 + 108*a^5*b^2*c^4*d^2*g^4*i^3) + log((e*(a + b*x))/(c + d*x))^2*((x*((5*B^2*(a*d + b*c)*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (5*B^2)/(6*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B^2*a*b*c*d)/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B^2*a*b*c*d*(a*d + b*c))/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x^3*((5*B^2*b^2*d^2)/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B^2*b^2*d^2*(a*d + b*c))/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x^2*((5*B^2*b*d*(a*d + b*c))/(g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B^2*b*d*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (10*B^2*b^2*d^3*((2*a*c*(a*d - b*c))/d + ((a*d + b*c)^2*(a*d - b*c))/(b*d^2)))/(g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (B^2*(3*a*d + 2*b*c))/(6*g^4*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (5*B^2*a*c*(2*a*d + b*c))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (10*B^2*b^3*d^3*x^4)/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (10*B^2*a^2*b*c^2*d)/(g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(b^2*d*x^5 + (x^4*(3*a*b^2*d^2 + 2*b^3*c*d))/(b*d) + (a^3*c^2)/(b*d) + (x^2*(a^3*d^2 + 3*a*b^2*c^2 + 6*a^2*b*c*d))/(b*d) + (x^3*(b^3*c^2 + 3*a^2*b*d^2 + 6*a*b^2*c*d))/(b*d) + (x*(3*a^2*b*c^2 + 2*a^3*c*d))/(b*d)) - (10*B*b^2*d^3*(3*A + B))/(3*g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + (log((e*(a + b*x))/(c + d*x))*(x^2*((10*b*d*(B^2*b*c - 7*B^2*a*d + 6*A*B*a*d + 3*A*B*b*c))/(9*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (10*(a*d + b*c)*(2*B^2*b*d - 3*A*B*b*d))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B*b^2*d^3*(3*A + B)*((2*a*c*(a*d - b*c))/d + ((a*d + b*c)^2*(a*d - b*c))/(b*d^2)))/(3*g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - x^3*((10*b*d*(2*B^2*b*d - 3*A*B*b*d))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (40*B*b^2*d^2*(3*A + B)*(a*d + b*c))/(3*g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) + x*((5*(B^2 - 6*A*B))/(18*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (10*(a*d + b*c)*(B^2*b*c - 7*B^2*a*d + 6*A*B*a*d + 3*A*B*b*c))/(9*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (10*a*c*(2*B^2*b*d - 3*A*B*b*d))/(3*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (40*B*a*b*c*d*(3*A + B)*(a*d + b*c))/(3*g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (4*B^2*b*c - 9*B^2*a*d + 18*A*B*a*d + 12*A*B*b*c)/(18*g^4*i^3*(a^2*b*d^3 + b^3*c^2*d - 2*a*b^2*c*d^2)) + (10*a*c*(B^2*b*c - 7*B^2*a*d + 6*A*B*a*d + 3*A*B*b*c))/(9*g^4*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (20*B*b^3*d^3*x^4*(3*A + B))/(3*g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (20*B*a^2*b*c^2*d*(3*A + B))/(3*g^4*i^3*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/(b^2*d*x^5 + (x^4*(3*a*b^2*d^2 + 2*b^3*c*d))/(b*d) + (a^3*c^2)/(b*d) + (x^2*(a^3*d^2 + 3*a*b^2*c^2 + 6*a^2*b*c*d))/(b*d) + (x^3*(b^3*c^2 + 3*a^2*b*d^2 + 6*a*b^2*c*d))/(b*d) + (x*(3*a^2*b*c^2 + 2*a^3*c*d))/(b*d)) + (b^2*d^3*atan((b^2*d^3*(18*A^2 + 49*B^2 + 12*A*B)*(9*a^6*d^6*g^4*i^3 - 9*b^6*c^6*g^4*i^3 + 36*a*b^5*c^5*d*g^4*i^3 - 36*a^5*b*c*d^5*g^4*i^3 - 45*a^2*b^4*c^4*d^2*g^4*i^3 + 45*a^4*b^2*c^2*d^4*g^4*i^3)*5i)/(9*g^4*i^3*(a*d - b*c)^6*(90*A^2*b^2*d^3 + 245*B^2*b^2*d^3 + 60*A*B*b^2*d^3)) + (b^3*d^4*x*(18*A^2 + 49*B^2 + 12*A*B)*(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3)*10i)/(g^4*i^3*(a*d - b*c)^6*(90*A^2*b^2*d^3 + 245*B^2*b^2*d^3 + 60*A*B*b^2*d^3)))*(18*A^2 + 49*B^2 + 12*A*B)*10i)/(9*g^4*i^3*(a*d - b*c)^6) - (10*B^2*b^2*d^3*log((e*(a + b*x))/(c + d*x))^3)/(3*g^4*i^3*(a*d - b*c)^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
108,1,1237,223,5.619845,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{a\,c\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\,n\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{b\,d}-\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\,n\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{20\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{b\,d}+\frac{a\,g^3\,i\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d\right)}{d}\right)}{20\,b\,d}+\frac{a^2\,g^3\,i\,\left(2\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+16\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)+x^2\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\,n\right)}{4\,d}+A\,a\,b^2\,c\,g^3\,i\right)}{40\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{2\,b\,d}+\frac{a\,g^3\,i\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d\right)}{2\,d}\right)-x^3\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{60\,b\,d}-\frac{b\,g^3\,i\,\left(24\,A\,a^2\,d^2+4\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\,n\right)}{12\,d}+\frac{A\,a\,b^2\,c\,g^3\,i}{3}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,a^2\,g^3\,i\,x^2\,\left(a\,d+3\,b\,c\right)}{2}+\frac{B\,b^2\,g^3\,i\,x^4\,\left(3\,a\,d+b\,c\right)}{4}+B\,a^3\,c\,g^3\,i\,x+\frac{B\,b^3\,d\,g^3\,i\,x^5}{5}+B\,a\,b\,g^3\,i\,x^3\,\left(a\,d+b\,c\right)\right)+x^4\,\left(\frac{b^2\,g^3\,i\,\left(20\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20}-\frac{A\,b^2\,g^3\,i\,\left(20\,a\,d+20\,b\,c\right)}{80}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^5\,d\,g^3\,i\,n-5\,B\,a^4\,b\,c\,g^3\,i\,n\right)}{20\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(-10\,B\,i\,n\,a^3\,c^2\,d^3\,g^3+10\,B\,i\,n\,a^2\,b\,c^3\,d^2\,g^3-5\,B\,i\,n\,a\,b^2\,c^4\,d\,g^3+B\,i\,n\,b^3\,c^5\,g^3\right)}{20\,d^4}+\frac{A\,b^3\,d\,g^3\,i\,x^5}{5}","Not used",1,"x*((a*c*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d - 2*B*a*b*c*d*n))/(4*d) + A*a*b^2*c*g^3*i))/(b*d) - ((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d - 2*B*a*b*c*d*n))/(4*d) + A*a*b^2*c*g^3*i))/(20*b*d) - (a*c*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(b*d) + (a*g^3*i*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 12*A*a*b*c*d))/d))/(20*b*d) + (a^2*g^3*i*(2*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - 3*B*b^2*c^2*n + 16*A*a*b*c*d + 2*B*a*b*c*d*n))/(2*b*d)) + x^2*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(20*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d - 2*B*a*b*c*d*n))/(4*d) + A*a*b^2*c*g^3*i))/(40*b*d) - (a*c*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(2*b*d) + (a*g^3*i*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 12*A*a*b*c*d))/(2*d)) - x^3*(((20*a*d + 20*b*c)*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/20))/(60*b*d) - (b*g^3*i*(24*A*a^2*d^2 + 4*A*b^2*c^2 + 3*B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d - 2*B*a*b*c*d*n))/(12*d) + (A*a*b^2*c*g^3*i)/3) + log(e*((a + b*x)/(c + d*x))^n)*((B*a^2*g^3*i*x^2*(a*d + 3*b*c))/2 + (B*b^2*g^3*i*x^4*(3*a*d + b*c))/4 + B*a^3*c*g^3*i*x + (B*b^3*d*g^3*i*x^5)/5 + B*a*b*g^3*i*x^3*(a*d + b*c)) + x^4*((b^2*g^3*i*(20*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/20 - (A*b^2*g^3*i*(20*a*d + 20*b*c))/80) - (log(a + b*x)*(B*a^5*d*g^3*i*n - 5*B*a^4*b*c*g^3*i*n))/(20*b^2) + (log(c + d*x)*(B*b^3*c^5*g^3*i*n - 10*B*a^3*c^2*d^3*g^3*i*n - 5*B*a*b^2*c^4*d*g^3*i*n + 10*B*a^2*b*c^3*d^2*g^3*i*n))/(20*d^4) + (A*b^3*d*g^3*i*x^5)/5","B"
109,1,663,190,5.023808,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a^2\,c\,g^2\,i\,x+\frac{B\,a\,g^2\,i\,x^2\,\left(a\,d+2\,b\,c\right)}{2}+\frac{B\,b\,g^2\,i\,x^3\,\left(2\,a\,d+b\,c\right)}{3}+\frac{B\,b^2\,d\,g^2\,i\,x^4}{4}\right)+x^3\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{12}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{36}\right)+x\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{12\,b\,d}-\frac{g^2\,i\,\left(9\,A\,a^2\,d^2+3\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{3\,d}+A\,a\,b\,c\,g^2\,i\right)}{12\,b\,d}-\frac{a\,c\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{b\,d}+\frac{a\,g^2\,i\,\left(2\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)-x^2\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{b\,g^2\,i\,\left(12\,A\,a\,d+8\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,b\,g^2\,i\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{24\,b\,d}-\frac{g^2\,i\,\left(9\,A\,a^2\,d^2+3\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{6\,d}+\frac{A\,a\,b\,c\,g^2\,i}{2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,d\,g^2\,i\,n-4\,B\,a^3\,b\,c\,g^2\,i\,n\right)}{12\,b^2}-\frac{\ln\left(c+d\,x\right)\,\left(6\,B\,i\,n\,a^2\,c^2\,d^2\,g^2-4\,B\,i\,n\,a\,b\,c^3\,d\,g^2+B\,i\,n\,b^2\,c^4\,g^2\right)}{12\,d^3}+\frac{A\,b^2\,d\,g^2\,i\,x^4}{4}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*(B*a^2*c*g^2*i*x + (B*a*g^2*i*x^2*(a*d + 2*b*c))/2 + (B*b*g^2*i*x^3*(2*a*d + b*c))/3 + (B*b^2*d*g^2*i*x^4)/4) + x^3*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d*n - B*b*c*n))/12 - (A*b*g^2*i*(12*a*d + 12*b*c))/36) + x*(((12*a*d + 12*b*c)*(((12*a*d + 12*b*c)*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12))/(12*b*d) - (g^2*i*(9*A*a^2*d^2 + 3*A*b^2*c^2 + 2*B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d - B*a*b*c*d*n))/(3*d) + A*a*b*c*g^2*i))/(12*b*d) - (a*c*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12))/(b*d) + (a*g^2*i*(2*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2*n - 2*B*b^2*c^2*n + 12*A*a*b*c*d + B*a*b*c*d*n))/(2*b*d)) - x^2*(((12*a*d + 12*b*c)*((b*g^2*i*(12*A*a*d + 8*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*b*g^2*i*(12*a*d + 12*b*c))/12))/(24*b*d) - (g^2*i*(9*A*a^2*d^2 + 3*A*b^2*c^2 + 2*B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d - B*a*b*c*d*n))/(6*d) + (A*a*b*c*g^2*i)/2) - (log(a + b*x)*(B*a^4*d*g^2*i*n - 4*B*a^3*b*c*g^2*i*n))/(12*b^2) - (log(c + d*x)*(B*b^2*c^4*g^2*i*n + 6*B*a^2*c^2*d^2*g^2*i*n - 4*B*a*b*c^3*d*g^2*i*n))/(12*d^3) + (A*b^2*d*g^2*i*x^4)/4","B"
110,1,295,149,4.838944,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,b\,d\,g\,i\,x^3}{3}+\frac{B\,g\,i\,\left(a\,d+b\,c\right)\,x^2}{2}+B\,a\,c\,g\,i\,x\right)-x\,\left(\frac{\left(\frac{g\,i\,\left(6\,A\,a\,d+6\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3}-\frac{A\,g\,i\,\left(6\,a\,d+6\,b\,c\right)}{6}\right)\,\left(6\,a\,d+6\,b\,c\right)}{6\,b\,d}+A\,a\,c\,g\,i-\frac{g\,i\,\left(2\,A\,a^2\,d^2+2\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+8\,A\,a\,b\,c\,d\right)}{2\,b\,d}\right)+x^2\,\left(\frac{g\,i\,\left(6\,A\,a\,d+6\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,g\,i\,\left(6\,a\,d+6\,b\,c\right)}{12}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^3\,d\,g\,i\,n-3\,B\,a^2\,b\,c\,g\,i\,n\right)}{6\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^3\,g\,i\,n-3\,B\,a\,c^2\,d\,g\,i\,n\right)}{6\,d^2}+\frac{A\,b\,d\,g\,i\,x^3}{3}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((B*g*i*x^2*(a*d + b*c))/2 + (B*b*d*g*i*x^3)/3 + B*a*c*g*i*x) - x*((((g*i*(6*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/3 - (A*g*i*(6*a*d + 6*b*c))/6)*(6*a*d + 6*b*c))/(6*b*d) + A*a*c*g*i - (g*i*(2*A*a^2*d^2 + 2*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 8*A*a*b*c*d))/(2*b*d)) + x^2*((g*i*(6*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*g*i*(6*a*d + 6*b*c))/12) - (log(a + b*x)*(B*a^3*d*g*i*n - 3*B*a^2*b*c*g*i*n))/(6*b^2) + (log(c + d*x)*(B*b*c^3*g*i*n - 3*B*a*c^2*d*g*i*n))/(6*d^2) + (A*b*d*g*i*x^3)/3","B"
111,1,134,86,4.338891,"\text{Not used}","int((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{i\,\left(2\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,b}-\frac{A\,i\,\left(2\,a\,d+2\,b\,c\right)}{2\,b}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,d\,i\,x^2}{2}+B\,c\,i\,x\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,d\,i\,n-2\,B\,a\,b\,c\,i\,n\right)}{2\,b^2}+\frac{A\,d\,i\,x^2}{2}-\frac{B\,c^2\,i\,n\,\ln\left(c+d\,x\right)}{2\,d}","Not used",1,"x*((i*(2*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(2*b) - (A*i*(2*a*d + 2*b*c))/(2*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*d*i*x^2)/2 + B*c*i*x) - (log(a + b*x)*(B*a^2*d*i*n - 2*B*a*b*c*i*n))/(2*b^2) + (A*d*i*x^2)/2 - (B*c^2*i*n*log(c + d*x))/(2*d)","B"
112,0,-1,141,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x),x)","\int \frac{\left(c\,i+d\,i\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x), x)","F"
113,0,-1,150,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2,x)","\int \frac{\left(c\,i+d\,i\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2, x)","F"
114,1,204,89,5.253125,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^3,x)","-\frac{x\,\left(2\,A\,b\,d\,i+B\,b\,d\,i\,n\right)+A\,a\,d\,i+A\,b\,c\,i+\frac{B\,a\,d\,i\,n}{2}+\frac{B\,b\,c\,i\,n}{2}}{2\,a^2\,b^2\,g^3+4\,a\,b^3\,g^3\,x+2\,b^4\,g^3\,x^2}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,c\,i}{2\,b}+\frac{B\,a\,d\,i}{2\,b^2}+\frac{B\,d\,i\,x}{b}\right)}{a^2\,g^3+2\,a\,b\,g^3\,x+b^2\,g^3\,x^2}-\frac{B\,d^2\,i\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b^2\,g^3\,\left(a\,d-b\,c\right)}","Not used",1,"- (x*(2*A*b*d*i + B*b*d*i*n) + A*a*d*i + A*b*c*i + (B*a*d*i*n)/2 + (B*b*c*i*n)/2)/(2*a^2*b^2*g^3 + 2*b^4*g^3*x^2 + 4*a*b^3*g^3*x) - (log(e*((a + b*x)/(c + d*x))^n)*((B*c*i)/(2*b) + (B*a*d*i)/(2*b^2) + (B*d*i*x)/b))/(a^2*g^3 + b^2*g^3*x^2 + 2*a*b*g^3*x) - (B*d^2*i*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*1i)/(b^2*g^3*(a*d - b*c))","B"
115,1,374,181,5.275898,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^4,x)","-\frac{\frac{6\,A\,a^2\,d^2\,i-12\,A\,b^2\,c^2\,i+5\,B\,a^2\,d^2\,i\,n-4\,B\,b^2\,c^2\,i\,n+6\,A\,a\,b\,c\,d\,i+5\,B\,a\,b\,c\,d\,i\,n}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(6\,A\,a\,b\,d^2\,i-6\,A\,b^2\,c\,d\,i-B\,b^2\,c\,d\,i\,n+5\,B\,a\,b\,d^2\,i\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b^2\,d^2\,i\,n\,x^2}{a\,d-b\,c}}{6\,a^3\,b^2\,g^4+18\,a^2\,b^3\,g^4\,x+18\,a\,b^4\,g^4\,x^2+6\,b^5\,g^4\,x^3}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,c\,i}{3\,b}+\frac{B\,a\,d\,i}{6\,b^2}+\frac{B\,d\,i\,x}{2\,b}\right)}{a^3\,g^4+3\,a^2\,b\,g^4\,x+3\,a\,b^2\,g^4\,x^2+b^3\,g^4\,x^3}-\frac{B\,d^3\,i\,n\,\mathrm{atanh}\left(\frac{6\,b^4\,c^2\,g^4-6\,a^2\,b^2\,d^2\,g^4}{6\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{3\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((6*A*a^2*d^2*i - 12*A*b^2*c^2*i + 5*B*a^2*d^2*i*n - 4*B*b^2*c^2*i*n + 6*A*a*b*c*d*i + 5*B*a*b*c*d*i*n)/(6*(a*d - b*c)) + (x*(6*A*a*b*d^2*i - 6*A*b^2*c*d*i - B*b^2*c*d*i*n + 5*B*a*b*d^2*i*n))/(2*(a*d - b*c)) + (B*b^2*d^2*i*n*x^2)/(a*d - b*c))/(6*a^3*b^2*g^4 + 6*b^5*g^4*x^3 + 18*a^2*b^3*g^4*x + 18*a*b^4*g^4*x^2) - (log(e*((a + b*x)/(c + d*x))^n)*((B*c*i)/(3*b) + (B*a*d*i)/(6*b^2) + (B*d*i*x)/(2*b)))/(a^3*g^4 + b^3*g^4*x^3 + 3*a*b^2*g^4*x^2 + 3*a^2*b*g^4*x) - (B*d^3*i*n*atanh((6*b^4*c^2*g^4 - 6*a^2*b^2*d^2*g^4)/(6*b^2*g^4*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(3*b^2*g^4*(a*d - b*c)^2)","B"
116,1,610,281,5.868943,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^5,x)","\frac{B\,d^4\,i\,n\,\mathrm{atanh}\left(\frac{12\,a^3\,b^2\,d^3\,g^5-12\,a^2\,b^3\,c\,d^2\,g^5-12\,a\,b^4\,c^2\,d\,g^5+12\,b^5\,c^3\,g^5}{12\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{6\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,c\,i}{4\,b}+\frac{B\,a\,d\,i}{12\,b^2}+\frac{B\,d\,i\,x}{3\,b}\right)}{a^4\,g^5+4\,a^3\,b\,g^5\,x+6\,a^2\,b^2\,g^5\,x^2+4\,a\,b^3\,g^5\,x^3+b^4\,g^5\,x^4}-\frac{\frac{12\,A\,a^3\,d^3\,i+36\,A\,b^3\,c^3\,i+13\,B\,a^3\,d^3\,i\,n+9\,B\,b^3\,c^3\,i\,n-60\,A\,a\,b^2\,c^2\,d\,i+12\,A\,a^2\,b\,c\,d^2\,i-23\,B\,a\,b^2\,c^2\,d\,i\,n+13\,B\,a^2\,b\,c\,d^2\,i\,n}{12\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(12\,A\,a^2\,b\,d^3\,i+12\,A\,b^3\,c^2\,d\,i-24\,A\,a\,b^2\,c\,d^2\,i+13\,B\,a^2\,b\,d^3\,i\,n+B\,b^3\,c^2\,d\,i\,n-5\,B\,a\,b^2\,c\,d^2\,i\,n\right)}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{d\,x^2\,\left(B\,b^3\,c\,d\,i\,n-7\,B\,a\,b^2\,d^2\,i\,n\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,b^3\,d^3\,i\,n\,x^3}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{12\,a^4\,b^2\,g^5+48\,a^3\,b^3\,g^5\,x+72\,a^2\,b^4\,g^5\,x^2+48\,a\,b^5\,g^5\,x^3+12\,b^6\,g^5\,x^4}","Not used",1,"(B*d^4*i*n*atanh((12*b^5*c^3*g^5 + 12*a^3*b^2*d^3*g^5 - 12*a*b^4*c^2*d*g^5 - 12*a^2*b^3*c*d^2*g^5)/(12*b^2*g^5*(a*d - b*c)^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(6*b^2*g^5*(a*d - b*c)^3) - (log(e*((a + b*x)/(c + d*x))^n)*((B*c*i)/(4*b) + (B*a*d*i)/(12*b^2) + (B*d*i*x)/(3*b)))/(a^4*g^5 + b^4*g^5*x^4 + 4*a*b^3*g^5*x^3 + 6*a^2*b^2*g^5*x^2 + 4*a^3*b*g^5*x) - ((12*A*a^3*d^3*i + 36*A*b^3*c^3*i + 13*B*a^3*d^3*i*n + 9*B*b^3*c^3*i*n - 60*A*a*b^2*c^2*d*i + 12*A*a^2*b*c*d^2*i - 23*B*a*b^2*c^2*d*i*n + 13*B*a^2*b*c*d^2*i*n)/(12*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(12*A*a^2*b*d^3*i + 12*A*b^3*c^2*d*i - 24*A*a*b^2*c*d^2*i + 13*B*a^2*b*d^3*i*n + B*b^3*c^2*d*i*n - 5*B*a*b^2*c*d^2*i*n))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (d*x^2*(B*b^3*c*d*i*n - 7*B*a*b^2*d^2*i*n))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^3*d^3*i*n*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(12*a^4*b^2*g^5 + 12*b^6*g^5*x^4 + 48*a^3*b^3*g^5*x + 48*a*b^5*g^5*x^3 + 72*a^2*b^4*g^5*x^2)","B"
117,1,2555,442,5.914545,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{2\,b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{120\,b\,d}+\frac{a\,g^3\,i^2\,\left(3\,A\,a^3\,d^3+12\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+54\,A\,a\,b^2\,c^2\,d+36\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{6\,b\,d}\right)+x^3\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{12\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{180\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{3\,b\,d}\right)-x^4\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{240\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{20}+\frac{A\,a\,b^2\,c\,d\,g^3\,i^2}{4}\right)+x^5\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{30}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{300}\right)-x\,\left(\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{60\,b\,d}+\frac{a\,g^3\,i^2\,\left(3\,A\,a^3\,d^3+12\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+54\,A\,a\,b^2\,c^2\,d+36\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{3\,b\,d}\right)}{60\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^2\,\left(16\,A\,a^3\,d^3+4\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+48\,A\,a\,b^2\,c^2\,d+72\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,d}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{b\,g^3\,i^2\,\left(30\,A\,a^2\,d^2+15\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b^2\,c\,d\,g^3\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d\,g^3\,i^2\,\left(24\,A\,a\,d+18\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b^2\,d\,g^3\,i^2\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{b\,d}-\frac{a^2\,c\,g^3\,i^2\,\left(6\,A\,a^2\,d^2+12\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+24\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a^3\,c^2\,g^3\,i^2\,x+\frac{B\,a\,g^3\,i^2\,x^3\,\left(a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{3}+\frac{B\,b\,g^3\,i^2\,x^4\,\left(3\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{4}+\frac{B\,b^3\,d^2\,g^3\,i^2\,x^6}{6}+\frac{B\,a^2\,c\,g^3\,i^2\,x^2\,\left(2\,a\,d+3\,b\,c\right)}{2}+\frac{B\,b^2\,d\,g^3\,i^2\,x^5\,\left(3\,a\,d+2\,b\,c\right)}{5}\right)+\frac{\ln\left(c+d\,x\right)\,\left(-20\,B\,n\,a^3\,c^3\,d^3\,g^3\,i^2+15\,B\,n\,a^2\,b\,c^4\,d^2\,g^3\,i^2-6\,B\,n\,a\,b^2\,c^5\,d\,g^3\,i^2+B\,n\,b^3\,c^6\,g^3\,i^2\right)}{60\,d^4}+\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^6\,d^2\,g^3\,i^2-6\,B\,n\,a^5\,b\,c\,d\,g^3\,i^2+15\,B\,n\,a^4\,b^2\,c^2\,g^3\,i^2\right)}{60\,b^3}+\frac{A\,b^3\,d^2\,g^3\,i^2\,x^6}{6}","Not used",1,"x^2*((a*c*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(2*b*d) - ((60*a*d + 60*b*c)*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(120*b*d) + (a*g^3*i^2*(3*A*a^3*d^3 + 12*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 54*A*a*b^2*c^2*d + 36*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(6*b*d)) + x^3*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(12*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(180*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(3*b*d)) - x^4*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(240*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/20 + (A*a*b^2*c*d*g^3*i^2)/4) + x^5*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/30 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/300) - x*(((60*a*d + 60*b*c)*((a*c*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(b*d) - ((60*a*d + 60*b*c)*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(60*b*d) + (a*g^3*i^2*(3*A*a^3*d^3 + 12*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 54*A*a*b^2*c^2*d + 36*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(3*b*d)))/(60*b*d) + (a*c*((g^3*i^2*(16*A*a^3*d^3 + 4*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 48*A*a*b^2*c^2*d + 72*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(4*d) + ((60*a*d + 60*b*c)*((((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (b*g^3*i^2*(30*A*a^2*d^2 + 15*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 60*A*a*b*c*d - B*a*b*c*d*n))/5 + A*a*b^2*c*d*g^3*i^2))/(60*b*d) - (a*c*((b^2*d*g^3*i^2*(24*A*a*d + 18*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b^2*d*g^3*i^2*(60*a*d + 60*b*c))/60))/(b*d)))/(b*d) - (a^2*c*g^3*i^2*(6*A*a^2*d^2 + 12*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 24*A*a*b*c*d + B*a*b*c*d*n))/(2*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*(B*a^3*c^2*g^3*i^2*x + (B*a*g^3*i^2*x^3*(a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/3 + (B*b*g^3*i^2*x^4*(3*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/4 + (B*b^3*d^2*g^3*i^2*x^6)/6 + (B*a^2*c*g^3*i^2*x^2*(2*a*d + 3*b*c))/2 + (B*b^2*d*g^3*i^2*x^5*(3*a*d + 2*b*c))/5) + (log(c + d*x)*(B*b^3*c^6*g^3*i^2*n - 20*B*a^3*c^3*d^3*g^3*i^2*n + 15*B*a^2*b*c^4*d^2*g^3*i^2*n - 6*B*a*b^2*c^5*d*g^3*i^2*n))/(60*d^4) + (log(a + b*x)*(B*a^6*d^2*g^3*i^2*n + 15*B*a^4*b^2*c^2*g^3*i^2*n - 6*B*a^5*b*c*d*g^3*i^2*n))/(60*b^3) + (A*b^3*d^2*g^3*i^2*x^6)/6","B"
118,1,1328,352,5.137542,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)\,\left(30\,a\,d+30\,b\,c\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{2\,b\,d}+\frac{g^2\,i^2\,\left(3\,A\,a^3\,d^3+3\,A\,b^3\,c^3+B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+27\,A\,a\,b^2\,c^2\,d+27\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{6\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,g^2\,i^2\,x^3\,\left(a^2\,d^2+4\,a\,b\,c\,d+b^2\,c^2\right)}{3}+B\,a^2\,c^2\,g^2\,i^2\,x+\frac{B\,b^2\,d^2\,g^2\,i^2\,x^5}{5}+B\,a\,c\,g^2\,i^2\,x^2\,\left(a\,d+b\,c\right)+\frac{B\,b\,d\,g^2\,i^2\,x^4\,\left(a\,d+b\,c\right)}{2}\right)-x^3\,\left(\frac{\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)\,\left(30\,a\,d+30\,b\,c\right)}{90\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d\right)}{6}+\frac{A\,a\,b\,c\,d\,g^2\,i^2}{3}\right)+x\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)\,\left(30\,a\,d+30\,b\,c\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{b\,d}-\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(30\,a\,d+30\,b\,c\right)\,\left(\frac{\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)\,\left(30\,a\,d+30\,b\,c\right)}{30\,b\,d}-\frac{g^2\,i^2\,\left(6\,A\,a^2\,d^2+6\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b\,c\,d\,g^2\,i^2\right)}{30\,b\,d}-\frac{a\,c\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{30}\right)}{b\,d}+\frac{g^2\,i^2\,\left(3\,A\,a^3\,d^3+3\,A\,b^3\,c^3+B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+27\,A\,a\,b^2\,c^2\,d+27\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{3\,b\,d}\right)}{30\,b\,d}+\frac{a\,c\,g^2\,i^2\,\left(3\,A\,a^2\,d^2+3\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+9\,A\,a\,b\,c\,d\right)}{b\,d}\right)+x^4\,\left(\frac{b\,d\,g^2\,i^2\,\left(15\,A\,a\,d+15\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20}-\frac{A\,b\,d\,g^2\,i^2\,\left(30\,a\,d+30\,b\,c\right)}{120}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^5\,d^2\,g^2\,i^2-5\,B\,n\,a^4\,b\,c\,d\,g^2\,i^2+10\,B\,n\,a^3\,b^2\,c^2\,g^2\,i^2\right)}{30\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(10\,B\,n\,a^2\,c^3\,d^2\,g^2\,i^2-5\,B\,n\,a\,b\,c^4\,d\,g^2\,i^2+B\,n\,b^2\,c^5\,g^2\,i^2\right)}{30\,d^3}+\frac{A\,b^2\,d^2\,g^2\,i^2\,x^5}{5}","Not used",1,"x^2*(((30*a*d + 30*b*c)*((((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30)*(30*a*d + 30*b*c))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(60*b*d) - (a*c*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(2*b*d) + (g^2*i^2*(3*A*a^3*d^3 + 3*A*b^3*c^3 + B*a^3*d^3*n - B*b^3*c^3*n + 27*A*a*b^2*c^2*d + 27*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(6*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*g^2*i^2*x^3*(a^2*d^2 + b^2*c^2 + 4*a*b*c*d))/3 + B*a^2*c^2*g^2*i^2*x + (B*b^2*d^2*g^2*i^2*x^5)/5 + B*a*c*g^2*i^2*x^2*(a*d + b*c) + (B*b*d*g^2*i^2*x^4*(a*d + b*c))/2) - x^3*((((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30)*(30*a*d + 30*b*c))/(90*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d))/6 + (A*a*b*c*d*g^2*i^2)/3) + x*((a*c*((((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30)*(30*a*d + 30*b*c))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(b*d) - ((30*a*d + 30*b*c)*(((30*a*d + 30*b*c)*((((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30)*(30*a*d + 30*b*c))/(30*b*d) - (g^2*i^2*(6*A*a^2*d^2 + 6*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 18*A*a*b*c*d))/2 + A*a*b*c*d*g^2*i^2))/(30*b*d) - (a*c*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/30))/(b*d) + (g^2*i^2*(3*A*a^3*d^3 + 3*A*b^3*c^3 + B*a^3*d^3*n - B*b^3*c^3*n + 27*A*a*b^2*c^2*d + 27*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(3*b*d)))/(30*b*d) + (a*c*g^2*i^2*(3*A*a^2*d^2 + 3*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 9*A*a*b*c*d))/(b*d)) + x^4*((b*d*g^2*i^2*(15*A*a*d + 15*A*b*c + B*a*d*n - B*b*c*n))/20 - (A*b*d*g^2*i^2*(30*a*d + 30*b*c))/120) + (log(a + b*x)*(B*a^5*d^2*g^2*i^2*n + 10*B*a^3*b^2*c^2*g^2*i^2*n - 5*B*a^4*b*c*d*g^2*i^2*n))/(30*b^3) - (log(c + d*x)*(B*b^2*c^5*g^2*i^2*n + 10*B*a^2*c^3*d^2*g^2*i^2*n - 5*B*a*b*c^4*d*g^2*i^2*n))/(30*d^3) + (A*b^2*d^2*g^2*i^2*x^5)/5","B"
119,1,661,250,5.149319,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a\,c^2\,g\,i^2\,x+\frac{B\,c\,g\,i^2\,x^2\,\left(2\,a\,d+b\,c\right)}{2}+\frac{B\,d\,g\,i^2\,x^3\,\left(a\,d+2\,b\,c\right)}{3}+\frac{B\,b\,d^2\,g\,i^2\,x^4}{4}\right)+x^3\,\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{12}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{36}\right)+x\,\left(\frac{\left(12\,a\,d+12\,b\,c\right)\,\left(\frac{\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{12\,b\,d}-\frac{g\,i^2\,\left(3\,A\,a^2\,d^2+9\,A\,b^2\,c^2+B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{3\,b}+A\,a\,c\,d\,g\,i^2\right)}{12\,b\,d}-\frac{a\,c\,\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)}{b\,d}+\frac{c\,g\,i^2\,\left(6\,A\,a^2\,d^2+2\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)-x^2\,\left(\frac{\left(\frac{d\,g\,i^2\,\left(8\,A\,a\,d+12\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4}-\frac{A\,d\,g\,i^2\,\left(12\,a\,d+12\,b\,c\right)}{12}\right)\,\left(12\,a\,d+12\,b\,c\right)}{24\,b\,d}-\frac{g\,i^2\,\left(3\,A\,a^2\,d^2+9\,A\,b^2\,c^2+B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+18\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{6\,b}+\frac{A\,a\,c\,d\,g\,i^2}{2}\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^4\,g\,i^2\,n-4\,B\,a\,c^3\,d\,g\,i^2\,n\right)}{12\,d^2}+\frac{\ln\left(a+b\,x\right)\,\left(B\,g\,n\,a^4\,d^2\,i^2-4\,B\,g\,n\,a^3\,b\,c\,d\,i^2+6\,B\,g\,n\,a^2\,b^2\,c^2\,i^2\right)}{12\,b^3}+\frac{A\,b\,d^2\,g\,i^2\,x^4}{4}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*(B*a*c^2*g*i^2*x + (B*c*g*i^2*x^2*(2*a*d + b*c))/2 + (B*d*g*i^2*x^3*(a*d + 2*b*c))/3 + (B*b*d^2*g*i^2*x^4)/4) + x^3*((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d*n - B*b*c*n))/12 - (A*d*g*i^2*(12*a*d + 12*b*c))/36) + x*(((12*a*d + 12*b*c)*((((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(12*b*d) - (g*i^2*(3*A*a^2*d^2 + 9*A*b^2*c^2 + B*a^2*d^2*n - 2*B*b^2*c^2*n + 18*A*a*b*c*d + B*a*b*c*d*n))/(3*b) + A*a*c*d*g*i^2))/(12*b*d) - (a*c*((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12))/(b*d) + (c*g*i^2*(6*A*a^2*d^2 + 2*A*b^2*c^2 + 2*B*a^2*d^2*n - B*b^2*c^2*n + 12*A*a*b*c*d - B*a*b*c*d*n))/(2*b*d)) - x^2*((((d*g*i^2*(8*A*a*d + 12*A*b*c + B*a*d*n - B*b*c*n))/4 - (A*d*g*i^2*(12*a*d + 12*b*c))/12)*(12*a*d + 12*b*c))/(24*b*d) - (g*i^2*(3*A*a^2*d^2 + 9*A*b^2*c^2 + B*a^2*d^2*n - 2*B*b^2*c^2*n + 18*A*a*b*c*d + B*a*b*c*d*n))/(6*b) + (A*a*c*d*g*i^2)/2) + (log(c + d*x)*(B*b*c^4*g*i^2*n - 4*B*a*c^3*d*g*i^2*n))/(12*d^2) + (log(a + b*x)*(B*a^4*d^2*g*i^2*n + 6*B*a^2*b^2*c^2*g*i^2*n - 4*B*a^3*b*c*d*g*i^2*n))/(12*b^3) + (A*b*d^2*g*i^2*x^4)/4","B"
120,1,303,124,4.624503,"\text{Not used}","int((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,c^2\,i^2\,x+B\,c\,d\,i^2\,x^2+\frac{B\,d^2\,i^2\,x^3}{3}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{d\,i^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,b}-\frac{A\,d\,i^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b}\right)}{3\,b\,d}-\frac{c\,i^2\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}+\frac{A\,a\,c\,d\,i^2}{b}\right)+x^2\,\left(\frac{d\,i^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6\,b}-\frac{A\,d\,i^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^3\,d^2\,i^2-3\,B\,n\,a^2\,b\,c\,d\,i^2+3\,B\,n\,a\,b^2\,c^2\,i^2\right)}{3\,b^3}+\frac{A\,d^2\,i^2\,x^3}{3}-\frac{B\,c^3\,i^2\,n\,\ln\left(c+d\,x\right)}{3\,d}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((B*d^2*i^2*x^3)/3 + B*c^2*i^2*x + B*c*d*i^2*x^2) - x*(((3*a*d + 3*b*c)*((d*i^2*(3*A*a*d + 9*A*b*c + B*a*d*n - B*b*c*n))/(3*b) - (A*d*i^2*(3*a*d + 3*b*c))/(3*b)))/(3*b*d) - (c*i^2*(3*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d*i^2)/b) + x^2*((d*i^2*(3*A*a*d + 9*A*b*c + B*a*d*n - B*b*c*n))/(6*b) - (A*d*i^2*(3*a*d + 3*b*c))/(6*b)) + (log(a + b*x)*(B*a^3*d^2*i^2*n + 3*B*a*b^2*c^2*i^2*n - 3*B*a^2*b*c*d*i^2*n))/(3*b^3) + (A*d^2*i^2*x^3)/3 - (B*c^3*i^2*n*log(c + d*x))/(3*d)","B"
121,0,-1,289,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x), x)","F"
122,0,-1,259,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2, x)","F"
123,0,-1,242,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^3, x)","F"
124,1,421,93,5.621905,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^4,x)","-\frac{x\,\left(3\,A\,a\,b\,d^2\,i^2+3\,A\,b^2\,c\,d\,i^2+B\,a\,b\,d^2\,i^2\,n+B\,b^2\,c\,d\,i^2\,n\right)+x^2\,\left(3\,A\,b^2\,d^2\,i^2+B\,b^2\,d^2\,i^2\,n\right)+A\,a^2\,d^2\,i^2+A\,b^2\,c^2\,i^2+\frac{B\,a^2\,d^2\,i^2\,n}{3}+\frac{B\,b^2\,c^2\,i^2\,n}{3}+A\,a\,b\,c\,d\,i^2+\frac{B\,a\,b\,c\,d\,i^2\,n}{3}}{3\,a^3\,b^3\,g^4+9\,a^2\,b^4\,g^4\,x+9\,a\,b^5\,g^4\,x^2+3\,b^6\,g^4\,x^3}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{3\,b^3}+\frac{B\,c\,d\,i^2}{3\,b^2}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{3\,b^3}+\frac{B\,c\,d\,i^2}{3\,b^2}\right)+\frac{2\,B\,a\,d^2\,i^2}{3\,b^2}+\frac{2\,B\,c\,d\,i^2}{3\,b}\right)+\frac{B\,c^2\,i^2}{3\,b}+\frac{B\,d^2\,i^2\,x^2}{b}\right)}{a^3\,g^4+3\,a^2\,b\,g^4\,x+3\,a\,b^2\,g^4\,x^2+b^3\,g^4\,x^3}-\frac{B\,d^3\,i^2\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}","Not used",1,"- (x*(3*A*a*b*d^2*i^2 + 3*A*b^2*c*d*i^2 + B*a*b*d^2*i^2*n + B*b^2*c*d*i^2*n) + x^2*(3*A*b^2*d^2*i^2 + B*b^2*d^2*i^2*n) + A*a^2*d^2*i^2 + A*b^2*c^2*i^2 + (B*a^2*d^2*i^2*n)/3 + (B*b^2*c^2*i^2*n)/3 + A*a*b*c*d*i^2 + (B*a*b*c*d*i^2*n)/3)/(3*a^3*b^3*g^4 + 3*b^6*g^4*x^3 + 9*a^2*b^4*g^4*x + 9*a*b^5*g^4*x^2) - (log(e*((a + b*x)/(c + d*x))^n)*(a*((B*a*d^2*i^2)/(3*b^3) + (B*c*d*i^2)/(3*b^2)) + x*(b*((B*a*d^2*i^2)/(3*b^3) + (B*c*d*i^2)/(3*b^2)) + (2*B*a*d^2*i^2)/(3*b^2) + (2*B*c*d*i^2)/(3*b)) + (B*c^2*i^2)/(3*b) + (B*d^2*i^2*x^2)/b))/(a^3*g^4 + b^3*g^4*x^3 + 3*a*b^2*g^4*x^2 + 3*a^2*b*g^4*x) - (B*d^3*i^2*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(3*b^3*g^4*(a*d - b*c))","B"
125,1,652,189,6.074981,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^5,x)","-\frac{\frac{12\,A\,a^3\,d^3\,i^2-36\,A\,b^3\,c^3\,i^2+7\,B\,a^3\,d^3\,i^2\,n-9\,B\,b^3\,c^3\,i^2\,n+12\,A\,a\,b^2\,c^2\,d\,i^2+12\,A\,a^2\,b\,c\,d^2\,i^2+7\,B\,a\,b^2\,c^2\,d\,i^2\,n+7\,B\,a^2\,b\,c\,d^2\,i^2\,n}{12\,\left(a\,d-b\,c\right)}+\frac{x\,\left(12\,A\,a^2\,b\,d^3\,i^2-24\,A\,b^3\,c^2\,d\,i^2+12\,A\,a\,b^2\,c\,d^2\,i^2+7\,B\,a^2\,b\,d^3\,i^2\,n-5\,B\,b^3\,c^2\,d\,i^2\,n+7\,B\,a\,b^2\,c\,d^2\,i^2\,n\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(12\,A\,a\,b^2\,d^3\,i^2-12\,A\,b^3\,c\,d^2\,i^2+7\,B\,a\,b^2\,d^3\,i^2\,n-B\,b^3\,c\,d^2\,i^2\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b^3\,d^3\,i^2\,n\,x^3}{a\,d-b\,c}}{12\,a^4\,b^3\,g^5+48\,a^3\,b^4\,g^5\,x+72\,a^2\,b^5\,g^5\,x^2+48\,a\,b^6\,g^5\,x^3+12\,b^7\,g^5\,x^4}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{12\,b^3}+\frac{B\,c\,d\,i^2}{6\,b^2}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{12\,b^3}+\frac{B\,c\,d\,i^2}{6\,b^2}\right)+\frac{B\,a\,d^2\,i^2}{4\,b^2}+\frac{B\,c\,d\,i^2}{2\,b}\right)+\frac{B\,c^2\,i^2}{4\,b}+\frac{B\,d^2\,i^2\,x^2}{2\,b}\right)}{a^4\,g^5+4\,a^3\,b\,g^5\,x+6\,a^2\,b^2\,g^5\,x^2+4\,a\,b^3\,g^5\,x^3+b^4\,g^5\,x^4}-\frac{B\,d^4\,i^2\,n\,\mathrm{atanh}\left(\frac{12\,b^5\,c^2\,g^5-12\,a^2\,b^3\,d^2\,g^5}{12\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{6\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((12*A*a^3*d^3*i^2 - 36*A*b^3*c^3*i^2 + 7*B*a^3*d^3*i^2*n - 9*B*b^3*c^3*i^2*n + 12*A*a*b^2*c^2*d*i^2 + 12*A*a^2*b*c*d^2*i^2 + 7*B*a*b^2*c^2*d*i^2*n + 7*B*a^2*b*c*d^2*i^2*n)/(12*(a*d - b*c)) + (x*(12*A*a^2*b*d^3*i^2 - 24*A*b^3*c^2*d*i^2 + 12*A*a*b^2*c*d^2*i^2 + 7*B*a^2*b*d^3*i^2*n - 5*B*b^3*c^2*d*i^2*n + 7*B*a*b^2*c*d^2*i^2*n))/(3*(a*d - b*c)) + (x^2*(12*A*a*b^2*d^3*i^2 - 12*A*b^3*c*d^2*i^2 + 7*B*a*b^2*d^3*i^2*n - B*b^3*c*d^2*i^2*n))/(2*(a*d - b*c)) + (B*b^3*d^3*i^2*n*x^3)/(a*d - b*c))/(12*a^4*b^3*g^5 + 12*b^7*g^5*x^4 + 48*a^3*b^4*g^5*x + 48*a*b^6*g^5*x^3 + 72*a^2*b^5*g^5*x^2) - (log(e*((a + b*x)/(c + d*x))^n)*(a*((B*a*d^2*i^2)/(12*b^3) + (B*c*d*i^2)/(6*b^2)) + x*(b*((B*a*d^2*i^2)/(12*b^3) + (B*c*d*i^2)/(6*b^2)) + (B*a*d^2*i^2)/(4*b^2) + (B*c*d*i^2)/(2*b)) + (B*c^2*i^2)/(4*b) + (B*d^2*i^2*x^2)/(2*b)))/(a^4*g^5 + b^4*g^5*x^4 + 4*a*b^3*g^5*x^3 + 6*a^2*b^2*g^5*x^2 + 4*a^3*b*g^5*x) - (B*d^4*i^2*n*atanh((12*b^5*c^2*g^5 - 12*a^2*b^3*d^2*g^5)/(12*b^3*g^5*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(6*b^3*g^5*(a*d - b*c)^2)","B"
126,1,954,293,6.708090,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^6,x)","\frac{B\,d^5\,i^2\,n\,\mathrm{atanh}\left(\frac{30\,a^3\,b^3\,d^3\,g^6-30\,a^2\,b^4\,c\,d^2\,g^6-30\,a\,b^5\,c^2\,d\,g^6+30\,b^6\,c^3\,g^6}{30\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}+\frac{2\,b\,d\,x\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{{\left(a\,d-b\,c\right)}^3}\right)}{15\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(a\,\left(\frac{B\,a\,d^2\,i^2}{30\,b^3}+\frac{B\,c\,d\,i^2}{10\,b^2}\right)+x\,\left(b\,\left(\frac{B\,a\,d^2\,i^2}{30\,b^3}+\frac{B\,c\,d\,i^2}{10\,b^2}\right)+\frac{2\,B\,a\,d^2\,i^2}{15\,b^2}+\frac{2\,B\,c\,d\,i^2}{5\,b}\right)+\frac{B\,c^2\,i^2}{5\,b}+\frac{B\,d^2\,i^2\,x^2}{3\,b}\right)}{a^5\,g^6+5\,a^4\,b\,g^6\,x+10\,a^3\,b^2\,g^6\,x^2+10\,a^2\,b^3\,g^6\,x^3+5\,a\,b^4\,g^6\,x^4+b^5\,g^6\,x^5}-\frac{\frac{60\,A\,a^4\,d^4\,i^2+360\,A\,b^4\,c^4\,i^2+47\,B\,a^4\,d^4\,i^2\,n+72\,B\,b^4\,c^4\,i^2\,n+60\,A\,a^2\,b^2\,c^2\,d^2\,i^2-540\,A\,a\,b^3\,c^3\,d\,i^2+60\,A\,a^3\,b\,c\,d^3\,i^2-153\,B\,a\,b^3\,c^3\,d\,i^2\,n+47\,B\,a^3\,b\,c\,d^3\,i^2\,n+47\,B\,a^2\,b^2\,c^2\,d^2\,i^2\,n}{60\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x^2\,\left(60\,A\,a^2\,b^2\,d^4\,i^2+60\,A\,b^4\,c^2\,d^2\,i^2+47\,B\,a^2\,b^2\,d^4\,i^2\,n+2\,B\,b^4\,c^2\,d^2\,i^2\,n-120\,A\,a\,b^3\,c\,d^3\,i^2-13\,B\,a\,b^3\,c\,d^3\,i^2\,n\right)}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{x\,\left(60\,A\,a^3\,b\,d^4\,i^2+180\,A\,b^4\,c^3\,d\,i^2-300\,A\,a\,b^3\,c^2\,d^2\,i^2+60\,A\,a^2\,b^2\,c\,d^3\,i^2+47\,B\,a^3\,b\,d^4\,i^2\,n+27\,B\,b^4\,c^3\,d\,i^2\,n-73\,B\,a\,b^3\,c^2\,d^2\,i^2\,n+47\,B\,a^2\,b^2\,c\,d^3\,i^2\,n\right)}{12\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d\,x^3\,\left(9\,B\,a\,b^3\,d^3\,i^2\,n-B\,b^4\,c\,d^2\,i^2\,n\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B\,b^4\,d^4\,i^2\,n\,x^4}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}}{30\,a^5\,b^3\,g^6+150\,a^4\,b^4\,g^6\,x+300\,a^3\,b^5\,g^6\,x^2+300\,a^2\,b^6\,g^6\,x^3+150\,a\,b^7\,g^6\,x^4+30\,b^8\,g^6\,x^5}","Not used",1,"(B*d^5*i^2*n*atanh((30*b^6*c^3*g^6 + 30*a^3*b^3*d^3*g^6 - 30*a*b^5*c^2*d*g^6 - 30*a^2*b^4*c*d^2*g^6)/(30*b^3*g^6*(a*d - b*c)^3) + (2*b*d*x*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(a*d - b*c)^3))/(15*b^3*g^6*(a*d - b*c)^3) - (log(e*((a + b*x)/(c + d*x))^n)*(a*((B*a*d^2*i^2)/(30*b^3) + (B*c*d*i^2)/(10*b^2)) + x*(b*((B*a*d^2*i^2)/(30*b^3) + (B*c*d*i^2)/(10*b^2)) + (2*B*a*d^2*i^2)/(15*b^2) + (2*B*c*d*i^2)/(5*b)) + (B*c^2*i^2)/(5*b) + (B*d^2*i^2*x^2)/(3*b)))/(a^5*g^6 + b^5*g^6*x^5 + 5*a*b^4*g^6*x^4 + 10*a^3*b^2*g^6*x^2 + 10*a^2*b^3*g^6*x^3 + 5*a^4*b*g^6*x) - ((60*A*a^4*d^4*i^2 + 360*A*b^4*c^4*i^2 + 47*B*a^4*d^4*i^2*n + 72*B*b^4*c^4*i^2*n + 60*A*a^2*b^2*c^2*d^2*i^2 - 540*A*a*b^3*c^3*d*i^2 + 60*A*a^3*b*c*d^3*i^2 - 153*B*a*b^3*c^3*d*i^2*n + 47*B*a^3*b*c*d^3*i^2*n + 47*B*a^2*b^2*c^2*d^2*i^2*n)/(60*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x^2*(60*A*a^2*b^2*d^4*i^2 + 60*A*b^4*c^2*d^2*i^2 + 47*B*a^2*b^2*d^4*i^2*n + 2*B*b^4*c^2*d^2*i^2*n - 120*A*a*b^3*c*d^3*i^2 - 13*B*a*b^3*c*d^3*i^2*n))/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (x*(60*A*a^3*b*d^4*i^2 + 180*A*b^4*c^3*d*i^2 - 300*A*a*b^3*c^2*d^2*i^2 + 60*A*a^2*b^2*c*d^3*i^2 + 47*B*a^3*b*d^4*i^2*n + 27*B*b^4*c^3*d*i^2*n - 73*B*a*b^3*c^2*d^2*i^2*n + 47*B*a^2*b^2*c*d^3*i^2*n))/(12*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (d*x^3*(9*B*a*b^3*d^3*i^2*n - B*b^4*c*d^2*i^2*n))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^4*d^4*i^2*n*x^4)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(30*a^5*b^3*g^6 + 30*b^8*g^6*x^5 + 150*a^4*b^4*g^6*x + 150*a*b^7*g^6*x^4 + 300*a^3*b^5*g^6*x^2 + 300*a^2*b^6*g^6*x^3)","B"
127,1,4476,477,6.558229,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^4\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{20}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{560\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{4\,b\,d}\right)+x^3\,\left(\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4\,n-B\,b^4\,c^4\,n+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d\,n+8\,B\,a^3\,b\,c\,d^3\,n\right)}{12\,b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{420\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{3\,b\,d}\right)+x^6\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{42}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{840}\right)-x^2\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4\,n-B\,b^4\,c^4\,n+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d\,n+8\,B\,a^3\,b\,c\,d^3\,n\right)}{4\,b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}\right)}{280\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{2\,b\,d}-\frac{a\,c\,g^3\,i^3\,\left(4\,A\,a^3\,d^3+4\,A\,b^3\,c^3+B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+24\,A\,a\,b^2\,c^2\,d+24\,A\,a^2\,b\,c\,d^2-2\,B\,a\,b^2\,c^2\,d\,n+2\,B\,a^2\,b\,c\,d^2\,n\right)}{2\,b\,d}\right)-x^5\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{700\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{10}+\frac{A\,a\,b^2\,c\,d^2\,g^3\,i^3}{5}\right)+x\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4\,n-B\,b^4\,c^4\,n+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d\,n+8\,B\,a^3\,b\,c\,d^3\,n\right)}{4\,b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}\right)}{140\,b\,d}+\frac{a\,c\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{b\,d}-\frac{a\,c\,g^3\,i^3\,\left(4\,A\,a^3\,d^3+4\,A\,b^3\,c^3+B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+24\,A\,a\,b^2\,c^2\,d+24\,A\,a^2\,b\,c\,d^2-2\,B\,a\,b^2\,c^2\,d\,n+2\,B\,a^2\,b\,c\,d^2\,n\right)}{b\,d}\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{g^3\,i^3\,\left(4\,A\,a^4\,d^4+4\,A\,b^4\,c^4+B\,a^4\,d^4\,n-B\,b^4\,c^4\,n+144\,A\,a^2\,b^2\,c^2\,d^2+64\,A\,a\,b^3\,c^3\,d+64\,A\,a^3\,b\,c\,d^3-8\,B\,a\,b^3\,c^3\,d\,n+8\,B\,a^3\,b\,c\,d^3\,n\right)}{4\,b\,d}-\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{g^3\,i^3\,\left(20\,A\,a^3\,d^3+20\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+120\,A\,a\,b^2\,c^2\,d+120\,A\,a^2\,b\,c\,d^2-6\,B\,a\,b^2\,c^2\,d\,n+6\,B\,a^2\,b\,c\,d^2\,n\right)}{5}+\frac{\left(140\,a\,d+140\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{140\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)}{b\,d}\right)}{140\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^2\,d^2\,g^3\,i^3\,\left(28\,A\,a\,d+28\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{7}-\frac{A\,b^2\,d^2\,g^3\,i^3\,\left(140\,a\,d+140\,b\,c\right)}{140}\right)\,\left(140\,a\,d+140\,b\,c\right)}{140\,b\,d}-\frac{b\,d\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2}+A\,a\,b^2\,c\,d^2\,g^3\,i^3\right)}{b\,d}\right)}{b\,d}+\frac{a^2\,c^2\,g^3\,i^3\,\left(12\,A\,a^2\,d^2+12\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d\right)}{2\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,g^3\,i^3\,x^4\,\left(a^3\,d^3+9\,a^2\,b\,c\,d^2+9\,a\,b^2\,c^2\,d+b^3\,c^3\right)}{4}+B\,a^3\,c^3\,g^3\,i^3\,x+\frac{B\,b^3\,d^3\,g^3\,i^3\,x^7}{7}+\frac{3\,B\,a^2\,c^2\,g^3\,i^3\,x^2\,\left(a\,d+b\,c\right)}{2}+\frac{B\,b^2\,d^2\,g^3\,i^3\,x^6\,\left(a\,d+b\,c\right)}{2}+B\,a\,c\,g^3\,i^3\,x^3\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)+\frac{3\,B\,b\,d\,g^3\,i^3\,x^5\,\left(a^2\,d^2+3\,a\,b\,c\,d+b^2\,c^2\right)}{5}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^7\,d^3\,g^3\,i^3-7\,B\,n\,a^6\,b\,c\,d^2\,g^3\,i^3+21\,B\,n\,a^5\,b^2\,c^2\,d\,g^3\,i^3-35\,B\,n\,a^4\,b^3\,c^3\,g^3\,i^3\right)}{140\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(-35\,B\,n\,a^3\,c^4\,d^3\,g^3\,i^3+21\,B\,n\,a^2\,b\,c^5\,d^2\,g^3\,i^3-7\,B\,n\,a\,b^2\,c^6\,d\,g^3\,i^3+B\,n\,b^3\,c^7\,g^3\,i^3\right)}{140\,d^4}+\frac{A\,b^3\,d^3\,g^3\,i^3\,x^7}{7}","Not used",1,"x^4*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/20 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(560*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(4*b*d)) + x^3*((g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4*n - B*b^4*c^4*n + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d*n + 8*B*a^3*b*c*d^3*n))/(12*b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(420*b*d) + (a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(3*b*d)) + x^6*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/42 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/840) - x^2*(((140*a*d + 140*b*c)*((g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4*n - B*b^4*c^4*n + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d*n + 8*B*a^3*b*c*d^3*n))/(4*b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d)))/(280*b*d) + (a*c*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(2*b*d) - (a*c*g^3*i^3*(4*A*a^3*d^3 + 4*A*b^3*c^3 + B*a^3*d^3*n - B*b^3*c^3*n + 24*A*a*b^2*c^2*d + 24*A*a^2*b*c*d^2 - 2*B*a*b^2*c^2*d*n + 2*B*a^2*b*c*d^2*n))/(2*b*d)) - x^5*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(700*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/10 + (A*a*b^2*c*d^2*g^3*i^3)/5) + x*(((140*a*d + 140*b*c)*(((140*a*d + 140*b*c)*((g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4*n - B*b^4*c^4*n + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d*n + 8*B*a^3*b*c*d^3*n))/(4*b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d)))/(140*b*d) + (a*c*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(b*d) - (a*c*g^3*i^3*(4*A*a^3*d^3 + 4*A*b^3*c^3 + B*a^3*d^3*n - B*b^3*c^3*n + 24*A*a*b^2*c^2*d + 24*A*a^2*b*c*d^2 - 2*B*a*b^2*c^2*d*n + 2*B*a^2*b*c*d^2*n))/(b*d)))/(140*b*d) - (a*c*((g^3*i^3*(4*A*a^4*d^4 + 4*A*b^4*c^4 + B*a^4*d^4*n - B*b^4*c^4*n + 144*A*a^2*b^2*c^2*d^2 + 64*A*a*b^3*c^3*d + 64*A*a^3*b*c*d^3 - 8*B*a*b^3*c^3*d*n + 8*B*a^3*b*c*d^3*n))/(4*b*d) - ((140*a*d + 140*b*c)*((g^3*i^3*(20*A*a^3*d^3 + 20*A*b^3*c^3 + 3*B*a^3*d^3*n - 3*B*b^3*c^3*n + 120*A*a*b^2*c^2*d + 120*A*a^2*b*c*d^2 - 6*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n))/5 + ((140*a*d + 140*b*c)*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(140*b*d) - (a*c*((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140))/(b*d)))/(140*b*d) + (a*c*((((b^2*d^2*g^3*i^3*(28*A*a*d + 28*A*b*c + B*a*d*n - B*b*c*n))/7 - (A*b^2*d^2*g^3*i^3*(140*a*d + 140*b*c))/140)*(140*a*d + 140*b*c))/(140*b*d) - (b*d*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 32*A*a*b*c*d))/2 + A*a*b^2*c*d^2*g^3*i^3))/(b*d)))/(b*d) + (a^2*c^2*g^3*i^3*(12*A*a^2*d^2 + 12*A*b^2*c^2 + 3*B*a^2*d^2*n - 3*B*b^2*c^2*n + 32*A*a*b*c*d))/(2*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*g^3*i^3*x^4*(a^3*d^3 + b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2))/4 + B*a^3*c^3*g^3*i^3*x + (B*b^3*d^3*g^3*i^3*x^7)/7 + (3*B*a^2*c^2*g^3*i^3*x^2*(a*d + b*c))/2 + (B*b^2*d^2*g^3*i^3*x^6*(a*d + b*c))/2 + B*a*c*g^3*i^3*x^3*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d) + (3*B*b*d*g^3*i^3*x^5*(a^2*d^2 + b^2*c^2 + 3*a*b*c*d))/5) - (log(a + b*x)*(B*a^7*d^3*g^3*i^3*n - 35*B*a^4*b^3*c^3*g^3*i^3*n + 21*B*a^5*b^2*c^2*d*g^3*i^3*n - 7*B*a^6*b*c*d^2*g^3*i^3*n))/(140*b^4) + (log(c + d*x)*(B*b^3*c^7*g^3*i^3*n - 35*B*a^3*c^4*d^3*g^3*i^3*n + 21*B*a^2*b*c^5*d^2*g^3*i^3*n - 7*B*a*b^2*c^6*d*g^3*i^3*n))/(140*d^4) + (A*b^3*d^3*g^3*i^3*x^7)/7","B"
128,1,2547,387,6.255788,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{2\,b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{120\,b\,d}+\frac{c\,g^2\,i^3\,\left(12\,A\,a^3\,d^3+3\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+36\,A\,a\,b^2\,c^2\,d+54\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{6\,b\,d}\right)+x^3\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{12\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{180\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{3\,b\,d}\right)-x^4\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{240\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{20}+\frac{A\,a\,b\,c\,d^2\,g^2\,i^3}{4}\right)+x^5\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{30}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{300}\right)-x\,\left(\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{a\,c\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{b\,d}-\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{60\,b\,d}+\frac{c\,g^2\,i^3\,\left(12\,A\,a^3\,d^3+3\,A\,b^3\,c^3+3\,B\,a^3\,d^3\,n-B\,b^3\,c^3\,n+36\,A\,a\,b^2\,c^2\,d+54\,A\,a^2\,b\,c\,d^2-5\,B\,a\,b^2\,c^2\,d\,n+3\,B\,a^2\,b\,c\,d^2\,n\right)}{3\,b\,d}\right)}{60\,b\,d}+\frac{a\,c\,\left(\frac{g^2\,i^3\,\left(4\,A\,a^3\,d^3+16\,A\,b^3\,c^3+B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+72\,A\,a\,b^2\,c^2\,d+48\,A\,a^2\,b\,c\,d^2-3\,B\,a\,b^2\,c^2\,d\,n+5\,B\,a^2\,b\,c\,d^2\,n\right)}{4\,b}+\frac{\left(60\,a\,d+60\,b\,c\right)\,\left(\frac{\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)\,\left(60\,a\,d+60\,b\,c\right)}{60\,b\,d}-\frac{d\,g^2\,i^3\,\left(15\,A\,a^2\,d^2+30\,A\,b^2\,c^2+2\,B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+60\,A\,a\,b\,c\,d+B\,a\,b\,c\,d\,n\right)}{5}+A\,a\,b\,c\,d^2\,g^2\,i^3\right)}{60\,b\,d}-\frac{a\,c\,\left(\frac{b\,d^2\,g^2\,i^3\,\left(18\,A\,a\,d+24\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6}-\frac{A\,b\,d^2\,g^2\,i^3\,\left(60\,a\,d+60\,b\,c\right)}{60}\right)}{b\,d}\right)}{b\,d}-\frac{a\,c^2\,g^2\,i^3\,\left(12\,A\,a^2\,d^2+6\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-2\,B\,b^2\,c^2\,n+24\,A\,a\,b\,c\,d-B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a^2\,c^3\,g^2\,i^3\,x+\frac{B\,c\,g^2\,i^3\,x^3\,\left(3\,a^2\,d^2+6\,a\,b\,c\,d+b^2\,c^2\right)}{3}+\frac{B\,d\,g^2\,i^3\,x^4\,\left(a^2\,d^2+6\,a\,b\,c\,d+3\,b^2\,c^2\right)}{4}+\frac{B\,b^2\,d^3\,g^2\,i^3\,x^6}{6}+\frac{B\,a\,c^2\,g^2\,i^3\,x^2\,\left(3\,a\,d+2\,b\,c\right)}{2}+\frac{B\,b\,d^2\,g^2\,i^3\,x^5\,\left(2\,a\,d+3\,b\,c\right)}{5}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^6\,d^3\,g^2\,i^3-6\,B\,n\,a^5\,b\,c\,d^2\,g^2\,i^3+15\,B\,n\,a^4\,b^2\,c^2\,d\,g^2\,i^3-20\,B\,n\,a^3\,b^3\,c^3\,g^2\,i^3\right)}{60\,b^4}-\frac{\ln\left(c+d\,x\right)\,\left(15\,B\,n\,a^2\,c^4\,d^2\,g^2\,i^3-6\,B\,n\,a\,b\,c^5\,d\,g^2\,i^3+B\,n\,b^2\,c^6\,g^2\,i^3\right)}{60\,d^3}+\frac{A\,b^2\,d^3\,g^2\,i^3\,x^6}{6}","Not used",1,"x^2*((a*c*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(2*b*d) - ((60*a*d + 60*b*c)*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(120*b*d) + (c*g^2*i^3*(12*A*a^3*d^3 + 3*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 36*A*a*b^2*c^2*d + 54*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(6*b*d)) + x^3*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(12*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(180*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(3*b*d)) - x^4*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(240*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/20 + (A*a*b*c*d^2*g^2*i^3)/4) + x^5*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/30 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/300) - x*(((60*a*d + 60*b*c)*((a*c*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(b*d) - ((60*a*d + 60*b*c)*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(60*b*d) + (c*g^2*i^3*(12*A*a^3*d^3 + 3*A*b^3*c^3 + 3*B*a^3*d^3*n - B*b^3*c^3*n + 36*A*a*b^2*c^2*d + 54*A*a^2*b*c*d^2 - 5*B*a*b^2*c^2*d*n + 3*B*a^2*b*c*d^2*n))/(3*b*d)))/(60*b*d) + (a*c*((g^2*i^3*(4*A*a^3*d^3 + 16*A*b^3*c^3 + B*a^3*d^3*n - 3*B*b^3*c^3*n + 72*A*a*b^2*c^2*d + 48*A*a^2*b*c*d^2 - 3*B*a*b^2*c^2*d*n + 5*B*a^2*b*c*d^2*n))/(4*b) + ((60*a*d + 60*b*c)*((((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60)*(60*a*d + 60*b*c))/(60*b*d) - (d*g^2*i^3*(15*A*a^2*d^2 + 30*A*b^2*c^2 + 2*B*a^2*d^2*n - 3*B*b^2*c^2*n + 60*A*a*b*c*d + B*a*b*c*d*n))/5 + A*a*b*c*d^2*g^2*i^3))/(60*b*d) - (a*c*((b*d^2*g^2*i^3*(18*A*a*d + 24*A*b*c + B*a*d*n - B*b*c*n))/6 - (A*b*d^2*g^2*i^3*(60*a*d + 60*b*c))/60))/(b*d)))/(b*d) - (a*c^2*g^2*i^3*(12*A*a^2*d^2 + 6*A*b^2*c^2 + 3*B*a^2*d^2*n - 2*B*b^2*c^2*n + 24*A*a*b*c*d - B*a*b*c*d*n))/(2*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*(B*a^2*c^3*g^2*i^3*x + (B*c*g^2*i^3*x^3*(3*a^2*d^2 + b^2*c^2 + 6*a*b*c*d))/3 + (B*d*g^2*i^3*x^4*(a^2*d^2 + 3*b^2*c^2 + 6*a*b*c*d))/4 + (B*b^2*d^3*g^2*i^3*x^6)/6 + (B*a*c^2*g^2*i^3*x^2*(3*a*d + 2*b*c))/2 + (B*b*d^2*g^2*i^3*x^5*(2*a*d + 3*b*c))/5) - (log(a + b*x)*(B*a^6*d^3*g^2*i^3*n - 20*B*a^3*b^3*c^3*g^2*i^3*n + 15*B*a^4*b^2*c^2*d*g^2*i^3*n - 6*B*a^5*b*c*d^2*g^2*i^3*n))/(60*b^4) - (log(c + d*x)*(B*b^2*c^6*g^2*i^3*n + 15*B*a^2*c^4*d^2*g^2*i^3*n - 6*B*a*b*c^5*d*g^2*i^3*n))/(60*d^3) + (A*b^2*d^3*g^2*i^3*x^6)/6","B"
129,1,1234,283,5.401451,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{a\,c\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\,n\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{b\,d}-\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\,n\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{20\,b\,d}-\frac{a\,c\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{b\,d}+\frac{c\,g\,i^3\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d\right)}{b}\right)}{20\,b\,d}+\frac{c^2\,g\,i^3\,\left(12\,A\,a^2\,d^2+2\,A\,b^2\,c^2+3\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+16\,A\,a\,b\,c\,d-2\,B\,a\,b\,c\,d\,n\right)}{2\,b\,d}\right)-x^3\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{60\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\,n\right)}{12\,b}+\frac{A\,a\,c\,d^2\,g\,i^3}{3}\right)+x^2\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{\left(20\,a\,d+20\,b\,c\right)\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{20\,b\,d}-\frac{d\,g\,i^3\,\left(4\,A\,a^2\,d^2+24\,A\,b^2\,c^2+B\,a^2\,d^2\,n-3\,B\,b^2\,c^2\,n+32\,A\,a\,b\,c\,d+2\,B\,a\,b\,c\,d\,n\right)}{4\,b}+A\,a\,c\,d^2\,g\,i^3\right)}{40\,b\,d}-\frac{a\,c\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{20}\right)}{2\,b\,d}+\frac{c\,g\,i^3\,\left(4\,A\,a^2\,d^2+4\,A\,b^2\,c^2+B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+12\,A\,a\,b\,c\,d\right)}{2\,b}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,c^2\,g\,i^3\,x^2\,\left(3\,a\,d+b\,c\right)}{2}+\frac{B\,d^2\,g\,i^3\,x^4\,\left(a\,d+3\,b\,c\right)}{4}+B\,a\,c^3\,g\,i^3\,x+\frac{B\,b\,d^3\,g\,i^3\,x^5}{5}+B\,c\,d\,g\,i^3\,x^3\,\left(a\,d+b\,c\right)\right)+x^4\,\left(\frac{d^2\,g\,i^3\,\left(10\,A\,a\,d+20\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20}-\frac{A\,d^2\,g\,i^3\,\left(20\,a\,d+20\,b\,c\right)}{80}\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^5\,g\,i^3\,n-5\,B\,a\,c^4\,d\,g\,i^3\,n\right)}{20\,d^2}-\frac{\ln\left(a+b\,x\right)\,\left(B\,g\,n\,a^5\,d^3\,i^3-5\,B\,g\,n\,a^4\,b\,c\,d^2\,i^3+10\,B\,g\,n\,a^3\,b^2\,c^2\,d\,i^3-10\,B\,g\,n\,a^2\,b^3\,c^3\,i^3\right)}{20\,b^4}+\frac{A\,b\,d^3\,g\,i^3\,x^5}{5}","Not used",1,"x*((a*c*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2*n - 3*B*b^2*c^2*n + 32*A*a*b*c*d + 2*B*a*b*c*d*n))/(4*b) + A*a*c*d^2*g*i^3))/(b*d) - ((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2*n - 3*B*b^2*c^2*n + 32*A*a*b*c*d + 2*B*a*b*c*d*n))/(4*b) + A*a*c*d^2*g*i^3))/(20*b*d) - (a*c*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(b*d) + (c*g*i^3*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 12*A*a*b*c*d))/b))/(20*b*d) + (c^2*g*i^3*(12*A*a^2*d^2 + 2*A*b^2*c^2 + 3*B*a^2*d^2*n - B*b^2*c^2*n + 16*A*a*b*c*d - 2*B*a*b*c*d*n))/(2*b*d)) - x^3*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(60*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2*n - 3*B*b^2*c^2*n + 32*A*a*b*c*d + 2*B*a*b*c*d*n))/(12*b) + (A*a*c*d^2*g*i^3)/3) + x^2*(((20*a*d + 20*b*c)*(((20*a*d + 20*b*c)*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(20*b*d) - (d*g*i^3*(4*A*a^2*d^2 + 24*A*b^2*c^2 + B*a^2*d^2*n - 3*B*b^2*c^2*n + 32*A*a*b*c*d + 2*B*a*b*c*d*n))/(4*b) + A*a*c*d^2*g*i^3))/(40*b*d) - (a*c*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/5 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/20))/(2*b*d) + (c*g*i^3*(4*A*a^2*d^2 + 4*A*b^2*c^2 + B*a^2*d^2*n - B*b^2*c^2*n + 12*A*a*b*c*d))/(2*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*c^2*g*i^3*x^2*(3*a*d + b*c))/2 + (B*d^2*g*i^3*x^4*(a*d + 3*b*c))/4 + B*a*c^3*g*i^3*x + (B*b*d^3*g*i^3*x^5)/5 + B*c*d*g*i^3*x^3*(a*d + b*c)) + x^4*((d^2*g*i^3*(10*A*a*d + 20*A*b*c + B*a*d*n - B*b*c*n))/20 - (A*d^2*g*i^3*(20*a*d + 20*b*c))/80) + (log(c + d*x)*(B*b*c^5*g*i^3*n - 5*B*a*c^4*d*g*i^3*n))/(20*d^2) - (log(a + b*x)*(B*a^5*d^3*g*i^3*n - 10*B*a^2*b^3*c^3*g*i^3*n - 5*B*a^4*b*c*d^2*g*i^3*n + 10*B*a^3*b^2*c^2*d*g*i^3*n))/(20*b^4) + (A*b*d^3*g*i^3*x^5)/5","B"
130,1,588,156,4.975821,"\text{Not used}","int((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^3\,\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{12\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b}\right)-x^2\,\left(\frac{\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{c\,d\,i^3\,\left(4\,A\,a\,d+6\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,b}+\frac{A\,a\,c\,d^2\,i^3}{2\,b}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,c^3\,i^3\,x+\frac{3\,B\,c^2\,d\,i^3\,x^2}{2}+B\,c\,d^2\,i^3\,x^3+\frac{B\,d^3\,i^3\,x^4}{4}\right)+x\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{c\,d\,i^3\,\left(4\,A\,a\,d+6\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}+\frac{A\,a\,c\,d^2\,i^3}{b}\right)}{4\,b\,d}+\frac{c^2\,i^3\,\left(12\,A\,a\,d+8\,A\,b\,c+3\,B\,a\,d\,n-3\,B\,b\,c\,n\right)}{2\,b}-\frac{a\,c\,\left(\frac{d^2\,i^3\,\left(4\,A\,a\,d+16\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,b}-\frac{A\,d^2\,i^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b}\right)}{b\,d}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^4\,d^3\,i^3-4\,B\,n\,a^3\,b\,c\,d^2\,i^3+6\,B\,n\,a^2\,b^2\,c^2\,d\,i^3-4\,B\,n\,a\,b^3\,c^3\,i^3\right)}{4\,b^4}+\frac{A\,d^3\,i^3\,x^4}{4}-\frac{B\,c^4\,i^3\,n\,\ln\left(c+d\,x\right)}{4\,d}","Not used",1,"x^3*((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(12*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(12*b)) - x^2*((((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(8*b*d) - (c*d*i^3*(4*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/(2*b) + (A*a*c*d^2*i^3)/(2*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*d^3*i^3*x^4)/4 + B*c^3*i^3*x + (3*B*c^2*d*i^3*x^2)/2 + B*c*d^2*i^3*x^3) + x*(((4*a*d + 4*b*c)*((((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(4*b*d) - (c*d*i^3*(4*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d^2*i^3)/b))/(4*b*d) + (c^2*i^3*(12*A*a*d + 8*A*b*c + 3*B*a*d*n - 3*B*b*c*n))/(2*b) - (a*c*((d^2*i^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*i^3*(4*a*d + 4*b*c))/(4*b)))/(b*d)) - (log(a + b*x)*(B*a^4*d^3*i^3*n - 4*B*a*b^3*c^3*i^3*n - 4*B*a^3*b*c*d^2*i^3*n + 6*B*a^2*b^2*c^2*d*i^3*n))/(4*b^4) + (A*d^3*i^3*x^4)/4 - (B*c^4*i^3*n*log(c + d*x))/(4*d)","B"
131,0,-1,373,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x), x)","F"
132,0,-1,390,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^2, x)","F"
133,0,-1,361,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^3, x)","F"
134,0,-1,326,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^4,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^4} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^4, x)","F"
135,0,-1,269,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x), x)","F"
136,0,-1,211,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x), x)","F"
137,0,-1,134,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x),x)","\int \frac{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x), x)","F"
138,0,-1,80,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*i + d*i*x),x)","\int \frac{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{c\,i+d\,i\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*i + d*i*x), x)","F"
139,1,76,50,5.719987,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)*(c*i + d*i*x)),x)","-\frac{B\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2-A\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{2\,g\,i\,n\,\left(a\,d-b\,c\right)}","Not used",1,"-(B*log(e*((a + b*x)/(c + d*x))^n)^2 - A*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*4i)/(2*g*i*n*(a*d - b*c))","B"
140,1,239,181,6.080286,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^2*(c*i + d*i*x)),x)","\frac{A}{g^2\,i\,\left(a\,d-b\,c\right)\,\left(a+b\,x\right)}+\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g^2\,i\,\left(a\,d-b\,c\right)\,\left(a+b\,x\right)}+\frac{B\,n}{g^2\,i\,\left(a\,d-b\,c\right)\,\left(a+b\,x\right)}-\frac{B\,d\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g^2\,i\,n\,{\left(a\,d-b\,c\right)}^2}+\frac{A\,d\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g^2\,i\,{\left(a\,d-b\,c\right)}^2}+\frac{B\,d\,n\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g^2\,i\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"A/(g^2*i*(a*d - b*c)*(a + b*x)) + (B*log(e*((a + b*x)/(c + d*x))^n))/(g^2*i*(a*d - b*c)*(a + b*x)) + (A*d*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g^2*i*(a*d - b*c)^2) + (B*n)/(g^2*i*(a*d - b*c)*(a + b*x)) + (B*d*n*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g^2*i*(a*d - b*c)^2) - (B*d*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g^2*i*n*(a*d - b*c)^2)","B"
141,1,573,266,6.337252,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^3*(c*i + d*i*x)),x)","\frac{B\,d^2\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,g^3\,i\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b\,g^3\,i\,n\,x\,\left(a\,d-b\,c\right)}{d}\right)}{g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(i\,a^2\,g^3+2\,i\,a\,b\,g^3\,x+i\,b^2\,g^3\,x^2\right)}-\frac{B\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{\frac{6\,A\,a\,d-2\,A\,b\,c+7\,B\,a\,d\,n-B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x\,\left(2\,A\,b+3\,B\,b\,n\right)}{a\,d-b\,c}}{x^2\,\left(2\,b^3\,c\,g^3\,i-2\,a\,b^2\,d\,g^3\,i\right)+x\,\left(4\,a\,b^2\,c\,g^3\,i-4\,a^2\,b\,d\,g^3\,i\right)-2\,a^3\,d\,g^3\,i+2\,a^2\,b\,c\,g^3\,i}+\frac{d^2\,\mathrm{atan}\left(\frac{d^2\,\left(A+\frac{3\,B\,n}{2}\right)\,\left(2\,i\,a^3\,d^3\,g^3-2\,i\,a^2\,b\,c\,d^2\,g^3-2\,i\,a\,b^2\,c^2\,d\,g^3+2\,i\,b^3\,c^3\,g^3\right)\,1{}\mathrm{i}}{g^3\,i\,\left(2\,A\,d^2+3\,B\,d^2\,n\right)\,{\left(a\,d-b\,c\right)}^3}+\frac{b\,d^3\,x\,\left(A+\frac{3\,B\,n}{2}\right)\,\left(i\,a^2\,d^2\,g^3-2\,i\,a\,b\,c\,d\,g^3+i\,b^2\,c^2\,g^3\right)\,4{}\mathrm{i}}{g^3\,i\,\left(2\,A\,d^2+3\,B\,d^2\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(A+\frac{3\,B\,n}{2}\right)\,2{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(d^2*atan((d^2*(A + (3*B*n)/2)*(2*a^3*d^3*g^3*i + 2*b^3*c^3*g^3*i - 2*a*b^2*c^2*d*g^3*i - 2*a^2*b*c*d^2*g^3*i)*1i)/(g^3*i*(2*A*d^2 + 3*B*d^2*n)*(a*d - b*c)^3) + (b*d^3*x*(A + (3*B*n)/2)*(a^2*d^2*g^3*i + b^2*c^2*g^3*i - 2*a*b*c*d*g^3*i)*4i)/(g^3*i*(2*A*d^2 + 3*B*d^2*n)*(a*d - b*c)^3))*(A + (3*B*n)/2)*2i)/(g^3*i*(a*d - b*c)^3) - ((6*A*a*d - 2*A*b*c + 7*B*a*d*n - B*b*c*n)/(2*(a*d - b*c)) + (d*x*(2*A*b + 3*B*b*n))/(a*d - b*c))/(x^2*(2*b^3*c*g^3*i - 2*a*b^2*d*g^3*i) + x*(4*a*b^2*c*g^3*i - 4*a^2*b*d*g^3*i) - 2*a^3*d*g^3*i + 2*a^2*b*c*g^3*i) - (B*d^2*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*d^2*log(e*((a + b*x)/(c + d*x))^n)*((g^3*i*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2) + (a*g^3*i*n*(a*d - b*c))/(2*d) + (b*g^3*i*n*x*(a*d - b*c))/d))/(g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*g^3*i + b^2*g^3*i*x^2 + 2*a*b*g^3*i*x))","B"
142,1,986,389,7.234858,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^4*(c*i + d*i*x)),x)","\frac{\frac{66\,A\,a^2\,d^2+12\,A\,b^2\,c^2+85\,B\,a^2\,d^2\,n+4\,B\,b^2\,c^2\,n-42\,A\,a\,b\,c\,d-23\,B\,a\,b\,c\,d\,n}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(30\,A\,a\,b\,d^2-6\,A\,b^2\,c\,d+49\,B\,a\,b\,d^2\,n-5\,B\,b^2\,c\,d\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(6\,A\,b^2\,d+11\,B\,b^2\,d\,n\right)}{a\,d-b\,c}}{x\,\left(18\,i\,a^4\,b\,d^2\,g^4-36\,i\,a^3\,b^2\,c\,d\,g^4+18\,i\,a^2\,b^3\,c^2\,g^4\right)+x^2\,\left(18\,i\,a^3\,b^2\,d^2\,g^4-36\,i\,a^2\,b^3\,c\,d\,g^4+18\,i\,a\,b^4\,c^2\,g^4\right)+x^3\,\left(6\,i\,a^2\,b^3\,d^2\,g^4-12\,i\,a\,b^4\,c\,d\,g^4+6\,i\,b^5\,c^2\,g^4\right)+6\,a^5\,d^2\,g^4\,i+6\,a^3\,b^2\,c^2\,g^4\,i-12\,a^4\,b\,c\,d\,g^4\,i}-\frac{B\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{B\,d^3\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(x\,\left(b\,\left(\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+\frac{2\,a\,b\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}+\frac{b\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{3\,d^2}\right)+a\,\left(\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}+\frac{b^2\,g^4\,i\,n\,x^2\,\left(a\,d-b\,c\right)}{d}\right)}{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(i\,a^3\,g^4+3\,i\,a^2\,b\,g^4\,x+3\,i\,a\,b^2\,g^4\,x^2+i\,b^3\,g^4\,x^3\right)}+\frac{d^3\,\mathrm{atan}\left(\frac{d^3\,\left(\frac{i\,a^4\,d^4\,g^4-2\,i\,a^3\,b\,c\,d^3\,g^4+2\,i\,a\,b^3\,c^3\,d\,g^4-i\,b^4\,c^4\,g^4}{i\,a^3\,d^3\,g^4-3\,i\,a^2\,b\,c\,d^2\,g^4+3\,i\,a\,b^2\,c^2\,d\,g^4-i\,b^3\,c^3\,g^4}+2\,b\,d\,x\right)\,\left(A+\frac{11\,B\,n}{6}\right)\,\left(i\,a^3\,d^3\,g^4-3\,i\,a^2\,b\,c\,d^2\,g^4+3\,i\,a\,b^2\,c^2\,d\,g^4-i\,b^3\,c^3\,g^4\right)\,6{}\mathrm{i}}{g^4\,i\,\left(6\,A\,d^3+11\,B\,d^3\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(A+\frac{11\,B\,n}{6}\right)\,2{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"((66*A*a^2*d^2 + 12*A*b^2*c^2 + 85*B*a^2*d^2*n + 4*B*b^2*c^2*n - 42*A*a*b*c*d - 23*B*a*b*c*d*n)/(6*(a*d - b*c)) + (x*(30*A*a*b*d^2 - 6*A*b^2*c*d + 49*B*a*b*d^2*n - 5*B*b^2*c*d*n))/(2*(a*d - b*c)) + (d*x^2*(6*A*b^2*d + 11*B*b^2*d*n))/(a*d - b*c))/(x*(18*a^4*b*d^2*g^4*i + 18*a^2*b^3*c^2*g^4*i - 36*a^3*b^2*c*d*g^4*i) + x^2*(18*a*b^4*c^2*g^4*i + 18*a^3*b^2*d^2*g^4*i - 36*a^2*b^3*c*d*g^4*i) + x^3*(6*b^5*c^2*g^4*i + 6*a^2*b^3*d^2*g^4*i - 12*a*b^4*c*d*g^4*i) + 6*a^5*d^2*g^4*i + 6*a^3*b^2*c^2*g^4*i - 12*a^4*b*c*d*g^4*i) + (d^3*atan((d^3*((a^4*d^4*g^4*i - b^4*c^4*g^4*i + 2*a*b^3*c^3*d*g^4*i - 2*a^3*b*c*d^3*g^4*i)/(a^3*d^3*g^4*i - b^3*c^3*g^4*i + 3*a*b^2*c^2*d*g^4*i - 3*a^2*b*c*d^2*g^4*i) + 2*b*d*x)*(A + (11*B*n)/6)*(a^3*d^3*g^4*i - b^3*c^3*g^4*i + 3*a*b^2*c^2*d*g^4*i - 3*a^2*b*c*d^2*g^4*i)*6i)/(g^4*i*(6*A*d^3 + 11*B*d^3*n)*(a*d - b*c)^4))*(A + (11*B*n)/6)*2i)/(g^4*i*(a*d - b*c)^4) - (B*d^3*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*d^3*log(e*((a + b*x)/(c + d*x))^n)*(x*(b*((g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*g^4*i*n*(a*d - b*c))/(3*d)) + (2*a*b*g^4*i*n*(a*d - b*c))/(3*d) + (b*g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(3*d^2)) + a*((g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*g^4*i*n*(a*d - b*c))/(3*d)) + (g^4*i*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/(3*d^3) + (b^2*g^4*i*n*x^2*(a*d - b*c))/d))/(g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^3*g^4*i + b^3*g^4*i*x^3 + 3*a^2*b*g^4*i*x + 3*a*b^2*g^4*i*x^2))","B"
143,0,-1,359,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2, x)","F"
144,0,-1,275,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2, x)","F"
145,0,-1,168,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2,x)","\int \frac{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^2, x)","F"
146,1,113,102,4.836098,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*i + d*i*x)^2,x)","-\frac{A-B\,n}{x\,d^2\,i^2+c\,d\,i^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{d\,\left(c\,i^2+d\,i^2\,x\right)}+\frac{B\,b\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d\,i^2\,\left(a\,d-b\,c\right)}","Not used",1,"(B*b*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(d*i^2*(a*d - b*c)) - (B*log(e*((a + b*x)/(c + d*x))^n))/(d*(c*i^2 + d*i^2*x)) - (A - B*n)/(d^2*i^2*x + c*d*i^2)","B"
147,1,241,166,4.816098,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)*(c*i + d*i*x)^2),x)","\frac{B\,n}{g\,i^2\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}-\frac{A}{g\,i^2\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g\,i^2\,\left(a\,d-b\,c\right)\,\left(c+d\,x\right)}+\frac{B\,b\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g\,i^2\,n\,{\left(a\,d-b\,c\right)}^2}-\frac{A\,b\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g\,i^2\,{\left(a\,d-b\,c\right)}^2}+\frac{B\,b\,n\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g\,i^2\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(B*n)/(g*i^2*(a*d - b*c)*(c + d*x)) - A/(g*i^2*(a*d - b*c)*(c + d*x)) - (B*log(e*((a + b*x)/(c + d*x))^n))/(g*i^2*(a*d - b*c)*(c + d*x)) - (A*b*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g*i^2*(a*d - b*c)^2) + (B*b*n*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g*i^2*(a*d - b*c)^2) + (B*b*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g*i^2*n*(a*d - b*c)^2)","B"
148,1,432,273,5.461443,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x)","\frac{B\,b\,d\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{g^2\,i^2\,n\,{\left(a\,d-b\,c\right)}^3}-\frac{A\,b\,c}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{A\,a\,d}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}+\frac{B\,a\,d\,n}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,b\,c\,n}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{2\,A\,b\,d\,x}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,a\,d\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{B\,b\,c\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{2\,B\,b\,d\,x\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^2\,\left(a+b\,x\right)\,\left(c+d\,x\right)}-\frac{A\,b\,d\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,4{}\mathrm{i}}{g^2\,i^2\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(B*b*d*log(e*((a + b*x)/(c + d*x))^n)^2)/(g^2*i^2*n*(a*d - b*c)^3) - (A*a*d)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (A*b*c)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (A*b*d*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*4i)/(g^2*i^2*(a*d - b*c)^3) + (B*a*d*n)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*b*c*n)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (2*A*b*d*x)/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*a*d*log(e*((a + b*x)/(c + d*x))^n))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (B*b*c*log(e*((a + b*x)/(c + d*x))^n))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x)) - (2*B*b*d*x*log(e*((a + b*x)/(c + d*x))^n))/(g^2*i^2*(a*d - b*c)^2*(a + b*x)*(c + d*x))","B"
149,1,1016,380,7.380761,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x)","\frac{3\,B\,b\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}-\frac{\frac{4\,A\,a^2\,d^2-2\,A\,b^2\,c^2-4\,B\,a^2\,d^2\,n-B\,b^2\,c^2\,n+10\,A\,a\,b\,c\,d+11\,B\,a\,b\,c\,d\,n}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A\,b^2\,d^2+B\,b^2\,d^2\,n\right)}{a\,d-b\,c}+\frac{3\,x\,\left(6\,A\,a\,b\,d^2+2\,A\,b^2\,c\,d+B\,a\,b\,d^2\,n+3\,B\,b^2\,c\,d\,n\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(2\,a^4\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c^2\,d\,g^3\,i^2+4\,a\,b^3\,c^3\,g^3\,i^2\right)+x^2\,\left(4\,a^3\,b\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c\,d^2\,g^3\,i^2+2\,b^4\,c^3\,g^3\,i^2\right)+x^3\,\left(2\,a^2\,b^2\,d^3\,g^3\,i^2-4\,a\,b^3\,c\,d^2\,g^3\,i^2+2\,b^4\,c^2\,d\,g^3\,i^2\right)+2\,a^2\,b^2\,c^3\,g^3\,i^2+2\,a^4\,c\,d^2\,g^3\,i^2-4\,a^3\,b\,c^2\,d\,g^3\,i^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{\frac{B\,\left(2\,a\,d+b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B\,b\,d\,x}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(d\,a^2\,g^3\,i^2+2\,b\,c\,a\,g^3\,i^2\right)+x^2\,\left(c\,b^2\,g^3\,i^2+2\,a\,d\,b\,g^3\,i^2\right)+a^2\,c\,g^3\,i^2+b^2\,d\,g^3\,i^2\,x^3}+\frac{3\,B\,b\,d^2\,\left(b\,g^3\,i^2\,n\,x^2\,\left(a\,d-b\,c\right)+\frac{a\,c\,g^3\,i^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{g^3\,i^2\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)}{g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(d\,a^2\,g^3\,i^2+2\,b\,c\,a\,g^3\,i^2\right)+x^2\,\left(c\,b^2\,g^3\,i^2+2\,a\,d\,b\,g^3\,i^2\right)+a^2\,c\,g^3\,i^2+b^2\,d\,g^3\,i^2\,x^3\right)}\right)-\frac{b\,d^2\,\mathrm{atan}\left(\frac{b\,d^2\,\left(2\,A+B\,n\right)\,\left(\frac{a^4\,d^4\,g^3\,i^2-2\,a^3\,b\,c\,d^3\,g^3\,i^2+2\,a\,b^3\,c^3\,d\,g^3\,i^2-b^4\,c^4\,g^3\,i^2}{a^3\,d^3\,g^3\,i^2-3\,a^2\,b\,c\,d^2\,g^3\,i^2+3\,a\,b^2\,c^2\,d\,g^3\,i^2-b^3\,c^3\,g^3\,i^2}+2\,b\,d\,x\right)\,\left(a^3\,d^3\,g^3\,i^2-3\,a^2\,b\,c\,d^2\,g^3\,i^2+3\,a\,b^2\,c^2\,d\,g^3\,i^2-b^3\,c^3\,g^3\,i^2\right)\,3{}\mathrm{i}}{g^3\,i^2\,\left(6\,A\,b\,d^2+3\,B\,b\,d^2\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(2\,A+B\,n\right)\,3{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(3*B*b*d^2*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g^3*i^2*n*(a*d - b*c)^4) - ((4*A*a^2*d^2 - 2*A*b^2*c^2 - 4*B*a^2*d^2*n - B*b^2*c^2*n + 10*A*a*b*c*d + 11*B*a*b*c*d*n)/(2*(a*d - b*c)) + (3*x^2*(2*A*b^2*d^2 + B*b^2*d^2*n))/(a*d - b*c) + (3*x*(6*A*a*b*d^2 + 2*A*b^2*c*d + B*a*b*d^2*n + 3*B*b^2*c*d*n))/(2*(a*d - b*c)))/(x*(2*a^4*d^3*g^3*i^2 + 4*a*b^3*c^3*g^3*i^2 - 6*a^2*b^2*c^2*d*g^3*i^2) + x^2*(2*b^4*c^3*g^3*i^2 + 4*a^3*b*d^3*g^3*i^2 - 6*a^2*b^2*c*d^2*g^3*i^2) + x^3*(2*a^2*b^2*d^3*g^3*i^2 + 2*b^4*c^2*d*g^3*i^2 - 4*a*b^3*c*d^2*g^3*i^2) + 2*a^2*b^2*c^3*g^3*i^2 + 2*a^4*c*d^2*g^3*i^2 - 4*a^3*b*c^2*d*g^3*i^2) - (b*d^2*atan((b*d^2*(2*A + B*n)*((a^4*d^4*g^3*i^2 - b^4*c^4*g^3*i^2 + 2*a*b^3*c^3*d*g^3*i^2 - 2*a^3*b*c*d^3*g^3*i^2)/(a^3*d^3*g^3*i^2 - b^3*c^3*g^3*i^2 + 3*a*b^2*c^2*d*g^3*i^2 - 3*a^2*b*c*d^2*g^3*i^2) + 2*b*d*x)*(a^3*d^3*g^3*i^2 - b^3*c^3*g^3*i^2 + 3*a*b^2*c^2*d*g^3*i^2 - 3*a^2*b*c*d^2*g^3*i^2)*3i)/(g^3*i^2*(6*A*b*d^2 + 3*B*b*d^2*n)*(a*d - b*c)^4))*(2*A + B*n)*3i)/(g^3*i^2*(a*d - b*c)^4) - log(e*((a + b*x)/(c + d*x))^n)*(((B*(2*a*d + b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B*b*d*x)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(a^2*d*g^3*i^2 + 2*a*b*c*g^3*i^2) + x^2*(b^2*c*g^3*i^2 + 2*a*b*d*g^3*i^2) + a^2*c*g^3*i^2 + b^2*d*g^3*i^2*x^3) + (3*B*b*d^2*(b*g^3*i^2*n*x^2*(a*d - b*c) + (a*c*g^3*i^2*n*(a*d - b*c))/d + (g^3*i^2*n*x*(a*d + b*c)*(a*d - b*c))/d))/(g^3*i^2*n*(a*d - b*c)^4*(x*(a^2*d*g^3*i^2 + 2*a*b*c*g^3*i^2) + x^2*(b^2*c*g^3*i^2 + 2*a*b*d*g^3*i^2) + a^2*c*g^3*i^2 + b^2*d*g^3*i^2*x^3)))","B"
150,1,1665,477,9.933091,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x)","\frac{2\,B\,b\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{\frac{B\,\left(3\,a\,d+b\,c\right)}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B\,b\,d\,x}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x^3\,\left(c\,b^3\,g^4\,i^2+3\,a\,d\,b^2\,g^4\,i^2\right)+x^2\,\left(3\,d\,a^2\,b\,g^4\,i^2+3\,c\,a\,b^2\,g^4\,i^2\right)+x\,\left(d\,a^3\,g^4\,i^2+3\,b\,c\,a^2\,g^4\,i^2\right)+a^3\,c\,g^4\,i^2+b^3\,d\,g^4\,i^2\,x^4}+\frac{4\,B\,b\,d^3\,\left(x\,\left(\left(a\,d+b\,c\right)\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{a\,b\,c\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{d}\right)+x^2\,\left(b\,d\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b\,g^4\,i^2\,n\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)+a\,c\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+b^2\,g^4\,i^2\,n\,x^3\,\left(a\,d-b\,c\right)\right)}{g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(x^3\,\left(c\,b^3\,g^4\,i^2+3\,a\,d\,b^2\,g^4\,i^2\right)+x^2\,\left(3\,d\,a^2\,b\,g^4\,i^2+3\,c\,a\,b^2\,g^4\,i^2\right)+x\,\left(d\,a^3\,g^4\,i^2+3\,b\,c\,a^2\,g^4\,i^2\right)+a^3\,c\,g^4\,i^2+b^3\,d\,g^4\,i^2\,x^4\right)}\right)-\frac{\frac{9\,A\,a^3\,d^3+3\,A\,b^3\,c^3-9\,B\,a^3\,d^3\,n+B\,b^3\,c^3\,n-15\,A\,a\,b^2\,c^2\,d+39\,A\,a^2\,b\,c\,d^2-8\,B\,a\,b^2\,c^2\,d\,n+46\,B\,a^2\,b\,c\,d^2\,n}{3\,\left(a\,d-b\,c\right)}+\frac{2\,x^3\,\left(6\,A\,b^3\,d^3+5\,B\,b^3\,d^3\,n\right)}{a\,d-b\,c}+\frac{x\,\left(66\,A\,a^2\,b\,d^3-6\,A\,b^3\,c^2\,d+48\,A\,a\,b^2\,c\,d^2+19\,B\,a^2\,b\,d^3\,n-5\,B\,b^3\,c^2\,d\,n+76\,B\,a\,b^2\,c\,d^2\,n\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(30\,A\,a\,b^2\,d^3+6\,A\,b^3\,c\,d^2+19\,B\,a\,b^2\,d^3\,n+11\,B\,b^3\,c\,d^2\,n\right)}{a\,d-b\,c}}{x\,\left(3\,a^6\,d^4\,g^4\,i^2-18\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+24\,a^3\,b^3\,c^3\,d\,g^4\,i^2-9\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-9\,a^5\,b\,d^4\,g^4\,i^2+18\,a^4\,b^2\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^3\,d\,g^4\,i^2+9\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-9\,a^4\,b^2\,d^4\,g^4\,i^2+24\,a^3\,b^3\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+3\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(3\,a^3\,b^3\,d^4\,g^4\,i^2-9\,a^2\,b^4\,c\,d^3\,g^4\,i^2+9\,a\,b^5\,c^2\,d^2\,g^4\,i^2-3\,b^6\,c^3\,d\,g^4\,i^2\right)-3\,a^3\,b^3\,c^4\,g^4\,i^2+3\,a^6\,c\,d^3\,g^4\,i^2+9\,a^4\,b^2\,c^3\,d\,g^4\,i^2-9\,a^5\,b\,c^2\,d^2\,g^4\,i^2}-\frac{b\,d^3\,\mathrm{atan}\left(\frac{b\,d^3\,\left(\frac{a^5\,d^5\,g^4\,i^2-3\,a^4\,b\,c\,d^4\,g^4\,i^2+2\,a^3\,b^2\,c^2\,d^3\,g^4\,i^2+2\,a^2\,b^3\,c^3\,d^2\,g^4\,i^2-3\,a\,b^4\,c^4\,d\,g^4\,i^2+b^5\,c^5\,g^4\,i^2}{a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2}+2\,b\,d\,x\right)\,\left(6\,A+5\,B\,n\right)\,\left(a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2\right)\,2{}\mathrm{i}}{g^4\,i^2\,\left(12\,A\,b\,d^3+10\,B\,b\,d^3\,n\right)\,{\left(a\,d-b\,c\right)}^5}\right)\,\left(6\,A+5\,B\,n\right)\,4{}\mathrm{i}}{3\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"(2*B*b*d^3*log(e*((a + b*x)/(c + d*x))^n)^2)/(g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - log(e*((a + b*x)/(c + d*x))^n)*(((B*(3*a*d + b*c))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B*b*d*x)/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x^3*(b^3*c*g^4*i^2 + 3*a*b^2*d*g^4*i^2) + x^2*(3*a*b^2*c*g^4*i^2 + 3*a^2*b*d*g^4*i^2) + x*(a^3*d*g^4*i^2 + 3*a^2*b*c*g^4*i^2) + a^3*c*g^4*i^2 + b^3*d*g^4*i^2*x^4) + (4*B*b*d^3*(x*((a*d + b*c)*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + (a*b*c*g^4*i^2*n*(a*d - b*c))/d) + x^2*(b*d*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + (b*g^4*i^2*n*(a*d + b*c)*(a*d - b*c))/d) + a*c*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + b^2*g^4*i^2*n*x^3*(a*d - b*c)))/(g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(x^3*(b^3*c*g^4*i^2 + 3*a*b^2*d*g^4*i^2) + x^2*(3*a*b^2*c*g^4*i^2 + 3*a^2*b*d*g^4*i^2) + x*(a^3*d*g^4*i^2 + 3*a^2*b*c*g^4*i^2) + a^3*c*g^4*i^2 + b^3*d*g^4*i^2*x^4))) - (b*d^3*atan((b*d^3*((a^5*d^5*g^4*i^2 + b^5*c^5*g^4*i^2 - 3*a*b^4*c^4*d*g^4*i^2 - 3*a^4*b*c*d^4*g^4*i^2 + 2*a^2*b^3*c^3*d^2*g^4*i^2 + 2*a^3*b^2*c^2*d^3*g^4*i^2)/(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2) + 2*b*d*x)*(6*A + 5*B*n)*(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2)*2i)/(g^4*i^2*(12*A*b*d^3 + 10*B*b*d^3*n)*(a*d - b*c)^5))*(6*A + 5*B*n)*4i)/(3*g^4*i^2*(a*d - b*c)^5) - ((9*A*a^3*d^3 + 3*A*b^3*c^3 - 9*B*a^3*d^3*n + B*b^3*c^3*n - 15*A*a*b^2*c^2*d + 39*A*a^2*b*c*d^2 - 8*B*a*b^2*c^2*d*n + 46*B*a^2*b*c*d^2*n)/(3*(a*d - b*c)) + (2*x^3*(6*A*b^3*d^3 + 5*B*b^3*d^3*n))/(a*d - b*c) + (x*(66*A*a^2*b*d^3 - 6*A*b^3*c^2*d + 48*A*a*b^2*c*d^2 + 19*B*a^2*b*d^3*n - 5*B*b^3*c^2*d*n + 76*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)) + (x^2*(30*A*a*b^2*d^3 + 6*A*b^3*c*d^2 + 19*B*a*b^2*d^3*n + 11*B*b^3*c*d^2*n))/(a*d - b*c))/(x*(3*a^6*d^4*g^4*i^2 - 9*a^2*b^4*c^4*g^4*i^2 + 24*a^3*b^3*c^3*d*g^4*i^2 - 18*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(9*a*b^5*c^4*g^4*i^2 - 9*a^5*b*d^4*g^4*i^2 - 18*a^2*b^4*c^3*d*g^4*i^2 + 18*a^4*b^2*c*d^3*g^4*i^2) - x^3*(3*b^6*c^4*g^4*i^2 - 9*a^4*b^2*d^4*g^4*i^2 + 24*a^3*b^3*c*d^3*g^4*i^2 - 18*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(3*a^3*b^3*d^4*g^4*i^2 - 3*b^6*c^3*d*g^4*i^2 + 9*a*b^5*c^2*d^2*g^4*i^2 - 9*a^2*b^4*c*d^3*g^4*i^2) - 3*a^3*b^3*c^4*g^4*i^2 + 3*a^6*c*d^3*g^4*i^2 + 9*a^4*b^2*c^3*d*g^4*i^2 - 9*a^5*b*c^2*d^2*g^4*i^2)","B"
151,0,-1,382,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^3, x)","F"
152,0,-1,263,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^3, x)","F"
153,1,205,89,5.493440,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^3,x)","-\frac{x\,\left(2\,A\,b\,d\,g-B\,b\,d\,g\,n\right)+A\,a\,d\,g+A\,b\,c\,g-\frac{B\,a\,d\,g\,n}{2}-\frac{B\,b\,c\,g\,n}{2}}{2\,c^2\,d^2\,i^3+4\,c\,d^3\,i^3\,x+2\,d^4\,i^3\,x^2}-\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,a\,g}{2\,d}+\frac{B\,b\,c\,g}{2\,d^2}+\frac{B\,b\,g\,x}{d}\right)}{c^2\,i^3+2\,c\,d\,i^3\,x+d^2\,i^3\,x^2}+\frac{B\,b^2\,g\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d^2\,i^3\,\left(a\,d-b\,c\right)}","Not used",1,"(B*b^2*g*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*1i)/(d^2*i^3*(a*d - b*c)) - (log(e*((a + b*x)/(c + d*x))^n)*((B*a*g)/(2*d) + (B*b*c*g)/(2*d^2) + (B*b*g*x)/d))/(c^2*i^3 + d^2*i^3*x^2 + 2*c*d*i^3*x) - (x*(2*A*b*d*g - B*b*d*g*n) + A*a*d*g + A*b*c*g - (B*a*d*g*n)/2 - (B*b*c*g*n)/2)/(2*c^2*d^2*i^3 + 2*d^4*i^3*x^2 + 4*c*d^3*i^3*x)","B"
154,1,221,151,4.965134,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*i + d*i*x)^3,x)","\frac{B\,b^2\,n\,\mathrm{atanh}\left(\frac{2\,a^2\,d^3\,i^3-2\,b^2\,c^2\,d\,i^3}{2\,d\,i^3\,{\left(a\,d-b\,c\right)}^2}+\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{d\,i^3\,{\left(a\,d-b\,c\right)}^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{2\,d\,\left(c^2\,i^3+2\,c\,d\,i^3\,x+d^2\,i^3\,x^2\right)}-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c-B\,a\,d\,n+3\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,n\,x}{a\,d-b\,c}}{2\,c^2\,d\,i^3+4\,c\,d^2\,i^3\,x+2\,d^3\,i^3\,x^2}","Not used",1,"(B*b^2*n*atanh((2*a^2*d^3*i^3 - 2*b^2*c^2*d*i^3)/(2*d*i^3*(a*d - b*c)^2) + (2*b*d*x)/(a*d - b*c)))/(d*i^3*(a*d - b*c)^2) - (B*log(e*((a + b*x)/(c + d*x))^n))/(2*d*(c^2*i^3 + d^2*i^3*x^2 + 2*c*d*i^3*x)) - ((2*A*a*d - 2*A*b*c - B*a*d*n + 3*B*b*c*n)/(2*(a*d - b*c)) + (B*b*d*n*x)/(a*d - b*c))/(2*c^2*d*i^3 + 2*d^3*i^3*x^2 + 4*c*d^2*i^3*x)","B"
155,1,573,254,6.652408,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)*(c*i + d*i*x)^3),x)","\frac{B\,b^2\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{c\,g\,i^3\,n\,\left(a\,d-b\,c\right)}{2\,b}-\frac{g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{2\,b^2}+\frac{d\,g\,i^3\,n\,x\,\left(a\,d-b\,c\right)}{b}\right)}{g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(g\,c^2\,i^3+2\,g\,c\,d\,i^3\,x+g\,d^2\,i^3\,x^2\right)}-\frac{B\,b^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{\frac{2\,A\,a\,d-6\,A\,b\,c-B\,a\,d\,n+7\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}-\frac{b\,x\,\left(2\,A\,d-3\,B\,d\,n\right)}{a\,d-b\,c}}{x^2\,\left(2\,a\,d^3\,g\,i^3-2\,b\,c\,d^2\,g\,i^3\right)+x\,\left(4\,a\,c\,d^2\,g\,i^3-4\,b\,c^2\,d\,g\,i^3\right)-2\,b\,c^3\,g\,i^3+2\,a\,c^2\,d\,g\,i^3}+\frac{b^2\,\mathrm{atan}\left(\frac{b^2\,\left(A-\frac{3\,B\,n}{2}\right)\,\left(2\,g\,a^3\,d^3\,i^3-2\,g\,a^2\,b\,c\,d^2\,i^3-2\,g\,a\,b^2\,c^2\,d\,i^3+2\,g\,b^3\,c^3\,i^3\right)\,1{}\mathrm{i}}{g\,i^3\,\left(2\,A\,b^2-3\,B\,b^2\,n\right)\,{\left(a\,d-b\,c\right)}^3}+\frac{b^3\,d\,x\,\left(A-\frac{3\,B\,n}{2}\right)\,\left(g\,a^2\,d^2\,i^3-2\,g\,a\,b\,c\,d\,i^3+g\,b^2\,c^2\,i^3\right)\,4{}\mathrm{i}}{g\,i^3\,\left(2\,A\,b^2-3\,B\,b^2\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(A-\frac{3\,B\,n}{2}\right)\,2{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(b^2*atan((b^2*(A - (3*B*n)/2)*(2*a^3*d^3*g*i^3 + 2*b^3*c^3*g*i^3 - 2*a*b^2*c^2*d*g*i^3 - 2*a^2*b*c*d^2*g*i^3)*1i)/(g*i^3*(2*A*b^2 - 3*B*b^2*n)*(a*d - b*c)^3) + (b^3*d*x*(A - (3*B*n)/2)*(a^2*d^2*g*i^3 + b^2*c^2*g*i^3 - 2*a*b*c*d*g*i^3)*4i)/(g*i^3*(2*A*b^2 - 3*B*b^2*n)*(a*d - b*c)^3))*(A - (3*B*n)/2)*2i)/(g*i^3*(a*d - b*c)^3) - ((2*A*a*d - 6*A*b*c - B*a*d*n + 7*B*b*c*n)/(2*(a*d - b*c)) - (b*x*(2*A*d - 3*B*d*n))/(a*d - b*c))/(x^2*(2*a*d^3*g*i^3 - 2*b*c*d^2*g*i^3) + x*(4*a*c*d^2*g*i^3 - 4*b*c^2*d*g*i^3) - 2*b*c^3*g*i^3 + 2*a*c^2*d*g*i^3) - (B*b^2*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B*b^2*log(e*((a + b*x)/(c + d*x))^n)*((c*g*i^3*n*(a*d - b*c))/(2*b) - (g*i^3*n*(a*d - b*c)*(a*d - 2*b*c))/(2*b^2) + (d*g*i^3*n*x*(a*d - b*c))/b))/(g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^2*g*i^3 + d^2*g*i^3*x^2 + 2*c*d*g*i^3*x))","B"
156,1,1018,381,7.534054,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x)","\frac{\frac{4\,A\,b^2\,c^2-2\,A\,a^2\,d^2+B\,a^2\,d^2\,n+4\,B\,b^2\,c^2\,n+10\,A\,a\,b\,c\,d-11\,B\,a\,b\,c\,d\,n}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A\,b^2\,d^2-B\,b^2\,d^2\,n\right)}{a\,d-b\,c}+\frac{3\,x\,\left(2\,A\,a\,b\,d^2+6\,A\,b^2\,c\,d-3\,B\,a\,b\,d^2\,n-B\,b^2\,c\,d\,n\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(4\,a^3\,c\,d^3\,g^2\,i^3-6\,a^2\,b\,c^2\,d^2\,g^2\,i^3+2\,b^3\,c^4\,g^2\,i^3\right)+x^2\,\left(2\,a^3\,d^4\,g^2\,i^3-6\,a\,b^2\,c^2\,d^2\,g^2\,i^3+4\,b^3\,c^3\,d\,g^2\,i^3\right)+x^3\,\left(2\,a^2\,b\,d^4\,g^2\,i^3-4\,a\,b^2\,c\,d^3\,g^2\,i^3+2\,b^3\,c^2\,d^2\,g^2\,i^3\right)+2\,a^3\,c^2\,d^2\,g^2\,i^3+2\,a\,b^2\,c^4\,g^2\,i^3-4\,a^2\,b\,c^3\,d\,g^2\,i^3}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{\frac{B\,\left(a\,d+2\,b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B\,b\,d\,x}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(b\,c^2\,g^2\,i^3+2\,a\,d\,c\,g^2\,i^3\right)+x^2\,\left(a\,d^2\,g^2\,i^3+2\,b\,c\,d\,g^2\,i^3\right)+a\,c^2\,g^2\,i^3+b\,d^2\,g^2\,i^3\,x^3}-\frac{3\,B\,b^2\,d\,\left(d\,g^2\,i^3\,n\,x^2\,\left(a\,d-b\,c\right)+\frac{a\,c\,g^2\,i^3\,n\,\left(a\,d-b\,c\right)}{b}+\frac{g^2\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{b}\right)}{g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(b\,c^2\,g^2\,i^3+2\,a\,d\,c\,g^2\,i^3\right)+x^2\,\left(a\,d^2\,g^2\,i^3+2\,b\,c\,d\,g^2\,i^3\right)+a\,c^2\,g^2\,i^3+b\,d^2\,g^2\,i^3\,x^3\right)}\right)-\frac{3\,B\,b^2\,d\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{2\,g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4}+\frac{b^2\,d\,\mathrm{atan}\left(\frac{b^2\,d\,\left(2\,A-B\,n\right)\,\left(\frac{a^4\,d^4\,g^2\,i^3-2\,a^3\,b\,c\,d^3\,g^2\,i^3+2\,a\,b^3\,c^3\,d\,g^2\,i^3-b^4\,c^4\,g^2\,i^3}{a^3\,d^3\,g^2\,i^3-3\,a^2\,b\,c\,d^2\,g^2\,i^3+3\,a\,b^2\,c^2\,d\,g^2\,i^3-b^3\,c^3\,g^2\,i^3}+2\,b\,d\,x\right)\,\left(a^3\,d^3\,g^2\,i^3-3\,a^2\,b\,c\,d^2\,g^2\,i^3+3\,a\,b^2\,c^2\,d\,g^2\,i^3-b^3\,c^3\,g^2\,i^3\right)\,3{}\mathrm{i}}{g^2\,i^3\,\left(6\,A\,b^2\,d-3\,B\,b^2\,d\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(2\,A-B\,n\right)\,3{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"((4*A*b^2*c^2 - 2*A*a^2*d^2 + B*a^2*d^2*n + 4*B*b^2*c^2*n + 10*A*a*b*c*d - 11*B*a*b*c*d*n)/(2*(a*d - b*c)) + (3*x^2*(2*A*b^2*d^2 - B*b^2*d^2*n))/(a*d - b*c) + (3*x*(2*A*a*b*d^2 + 6*A*b^2*c*d - 3*B*a*b*d^2*n - B*b^2*c*d*n))/(2*(a*d - b*c)))/(x*(2*b^3*c^4*g^2*i^3 + 4*a^3*c*d^3*g^2*i^3 - 6*a^2*b*c^2*d^2*g^2*i^3) + x^2*(2*a^3*d^4*g^2*i^3 + 4*b^3*c^3*d*g^2*i^3 - 6*a*b^2*c^2*d^2*g^2*i^3) + x^3*(2*b^3*c^2*d^2*g^2*i^3 + 2*a^2*b*d^4*g^2*i^3 - 4*a*b^2*c*d^3*g^2*i^3) + 2*a^3*c^2*d^2*g^2*i^3 + 2*a*b^2*c^4*g^2*i^3 - 4*a^2*b*c^3*d*g^2*i^3) - log(e*((a + b*x)/(c + d*x))^n)*(((B*(a*d + 2*b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B*b*d*x)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(b*c^2*g^2*i^3 + 2*a*c*d*g^2*i^3) + x^2*(a*d^2*g^2*i^3 + 2*b*c*d*g^2*i^3) + a*c^2*g^2*i^3 + b*d^2*g^2*i^3*x^3) - (3*B*b^2*d*(d*g^2*i^3*n*x^2*(a*d - b*c) + (a*c*g^2*i^3*n*(a*d - b*c))/b + (g^2*i^3*n*x*(a*d + b*c)*(a*d - b*c))/b))/(g^2*i^3*n*(a*d - b*c)^4*(x*(b*c^2*g^2*i^3 + 2*a*c*d*g^2*i^3) + x^2*(a*d^2*g^2*i^3 + 2*b*c*d*g^2*i^3) + a*c^2*g^2*i^3 + b*d^2*g^2*i^3*x^3))) + (b^2*d*atan((b^2*d*(2*A - B*n)*((a^4*d^4*g^2*i^3 - b^4*c^4*g^2*i^3 + 2*a*b^3*c^3*d*g^2*i^3 - 2*a^3*b*c*d^3*g^2*i^3)/(a^3*d^3*g^2*i^3 - b^3*c^3*g^2*i^3 + 3*a*b^2*c^2*d*g^2*i^3 - 3*a^2*b*c*d^2*g^2*i^3) + 2*b*d*x)*(a^3*d^3*g^2*i^3 - b^3*c^3*g^2*i^3 + 3*a*b^2*c^2*d*g^2*i^3 - 3*a^2*b*c*d^2*g^2*i^3)*3i)/(g^2*i^3*(6*A*b^2*d - 3*B*b^2*d*n)*(a*d - b*c)^4))*(2*A - B*n)*3i)/(g^2*i^3*(a*d - b*c)^4) - (3*B*b^2*d*log(e*((a + b*x)/(c + d*x))^n)^2)/(2*g^2*i^3*n*(a*d - b*c)^4)","B"
157,1,1341,483,7.930449,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x)","\frac{\frac{2\,x\,\left(2\,A\,a^2\,b\,d^3+2\,A\,b^3\,c^2\,d+14\,A\,a\,b^2\,c\,d^2-3\,B\,a^2\,b\,d^3\,n+3\,B\,b^3\,c^2\,d\,n\right)}{a\,d-b\,c}-\frac{2\,A\,a^3\,d^3+2\,A\,b^3\,c^3-B\,a^3\,d^3\,n+B\,b^3\,c^3\,n-14\,A\,a\,b^2\,c^2\,d-14\,A\,a^2\,b\,c\,d^2-15\,B\,a\,b^2\,c^2\,d\,n+15\,B\,a^2\,b\,c\,d^2\,n}{2\,\left(a\,d-b\,c\right)}+\frac{6\,x^2\,\left(3\,A\,a\,b^2\,d^3+3\,A\,b^3\,c\,d^2-B\,a\,b^2\,d^3\,n+B\,b^3\,c\,d^2\,n\right)}{a\,d-b\,c}+\frac{12\,A\,b^3\,d^3\,x^3}{a\,d-b\,c}}{x^4\,\left(2\,a^3\,b^2\,d^5\,g^3\,i^3-6\,a^2\,b^3\,c\,d^4\,g^3\,i^3+6\,a\,b^4\,c^2\,d^3\,g^3\,i^3-2\,b^5\,c^3\,d^2\,g^3\,i^3\right)-x\,\left(-4\,a^5\,c\,d^4\,g^3\,i^3+8\,a^4\,b\,c^2\,d^3\,g^3\,i^3-8\,a^2\,b^3\,c^4\,d\,g^3\,i^3+4\,a\,b^4\,c^5\,g^3\,i^3\right)+x^3\,\left(4\,a^4\,b\,d^5\,g^3\,i^3-8\,a^3\,b^2\,c\,d^4\,g^3\,i^3+8\,a\,b^4\,c^3\,d^2\,g^3\,i^3-4\,b^5\,c^4\,d\,g^3\,i^3\right)+x^2\,\left(2\,a^5\,d^5\,g^3\,i^3+2\,a^4\,b\,c\,d^4\,g^3\,i^3-16\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+16\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-2\,a\,b^4\,c^4\,d\,g^3\,i^3-2\,b^5\,c^5\,g^3\,i^3\right)-2\,a^2\,b^3\,c^5\,g^3\,i^3+2\,a^5\,c^2\,d^3\,g^3\,i^3+6\,a^3\,b^2\,c^4\,d\,g^3\,i^3-6\,a^4\,b\,c^3\,d^2\,g^3\,i^3}+\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(x\,\left(\frac{3\,B\,b\,d\,{\left(a\,d+b\,c\right)}^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{B\,b\,d}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}+\frac{6\,B\,a\,b^2\,c\,d^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B\,\left(a\,d+b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{6\,B\,b^3\,d^3\,x^3}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{9\,B\,b^2\,d^2\,x^2\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{3\,B\,a\,b\,c\,d\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)}{x\,\left(2\,d\,a^2\,c\,g^3\,i^3+2\,b\,a\,c^2\,g^3\,i^3\right)+x^3\,\left(2\,c\,b^2\,d\,g^3\,i^3+2\,a\,b\,d^2\,g^3\,i^3\right)+x^2\,\left(a^2\,d^2\,g^3\,i^3+4\,a\,b\,c\,d\,g^3\,i^3+b^2\,c^2\,g^3\,i^3\right)+a^2\,c^2\,g^3\,i^3+b^2\,d^2\,g^3\,i^3\,x^4}-\frac{3\,B\,b^2\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{g^3\,i^3\,n\,{\left(a\,d-b\,c\right)}^5}+\frac{A\,b^2\,d^2\,\mathrm{atan}\left(\frac{\left(a^5\,d^5\,g^3\,i^3-3\,a^4\,b\,c\,d^4\,g^3\,i^3+2\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+2\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-3\,a\,b^4\,c^4\,d\,g^3\,i^3+b^5\,c^5\,g^3\,i^3\right)\,1{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}+\frac{b\,d\,x\,\left(a^4\,d^4\,g^3\,i^3-4\,a^3\,b\,c\,d^3\,g^3\,i^3+6\,a^2\,b^2\,c^2\,d^2\,g^3\,i^3-4\,a\,b^3\,c^3\,d\,g^3\,i^3+b^4\,c^4\,g^3\,i^3\right)\,2{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}\right)\,12{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"((2*x*(2*A*a^2*b*d^3 + 2*A*b^3*c^2*d + 14*A*a*b^2*c*d^2 - 3*B*a^2*b*d^3*n + 3*B*b^3*c^2*d*n))/(a*d - b*c) - (2*A*a^3*d^3 + 2*A*b^3*c^3 - B*a^3*d^3*n + B*b^3*c^3*n - 14*A*a*b^2*c^2*d - 14*A*a^2*b*c*d^2 - 15*B*a*b^2*c^2*d*n + 15*B*a^2*b*c*d^2*n)/(2*(a*d - b*c)) + (6*x^2*(3*A*a*b^2*d^3 + 3*A*b^3*c*d^2 - B*a*b^2*d^3*n + B*b^3*c*d^2*n))/(a*d - b*c) + (12*A*b^3*d^3*x^3)/(a*d - b*c))/(x^4*(2*a^3*b^2*d^5*g^3*i^3 - 2*b^5*c^3*d^2*g^3*i^3 + 6*a*b^4*c^2*d^3*g^3*i^3 - 6*a^2*b^3*c*d^4*g^3*i^3) - x*(4*a*b^4*c^5*g^3*i^3 - 4*a^5*c*d^4*g^3*i^3 - 8*a^2*b^3*c^4*d*g^3*i^3 + 8*a^4*b*c^2*d^3*g^3*i^3) + x^3*(4*a^4*b*d^5*g^3*i^3 - 4*b^5*c^4*d*g^3*i^3 + 8*a*b^4*c^3*d^2*g^3*i^3 - 8*a^3*b^2*c*d^4*g^3*i^3) + x^2*(2*a^5*d^5*g^3*i^3 - 2*b^5*c^5*g^3*i^3 - 2*a*b^4*c^4*d*g^3*i^3 + 2*a^4*b*c*d^4*g^3*i^3 + 16*a^2*b^3*c^3*d^2*g^3*i^3 - 16*a^3*b^2*c^2*d^3*g^3*i^3) - 2*a^2*b^3*c^5*g^3*i^3 + 2*a^5*c^2*d^3*g^3*i^3 + 6*a^3*b^2*c^4*d*g^3*i^3 - 6*a^4*b*c^3*d^2*g^3*i^3) + (log(e*((a + b*x)/(c + d*x))^n)*(x*((3*B*b*d*(a*d + b*c)^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 - (B*b*d)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (6*B*a*b^2*c*d^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (B*(a*d + b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (6*B*b^3*d^3*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 + (9*B*b^2*d^2*x^2*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 + (3*B*a*b*c*d*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2))/(x*(2*a*b*c^2*g^3*i^3 + 2*a^2*c*d*g^3*i^3) + x^3*(2*a*b*d^2*g^3*i^3 + 2*b^2*c*d*g^3*i^3) + x^2*(a^2*d^2*g^3*i^3 + b^2*c^2*g^3*i^3 + 4*a*b*c*d*g^3*i^3) + a^2*c^2*g^3*i^3 + b^2*d^2*g^3*i^3*x^4) + (A*b^2*d^2*atan(((a^5*d^5*g^3*i^3 + b^5*c^5*g^3*i^3 - 3*a*b^4*c^4*d*g^3*i^3 - 3*a^4*b*c*d^4*g^3*i^3 + 2*a^2*b^3*c^3*d^2*g^3*i^3 + 2*a^3*b^2*c^2*d^3*g^3*i^3)*1i)/(g^3*i^3*(a*d - b*c)^5) + (b*d*x*(a^4*d^4*g^3*i^3 + b^4*c^4*g^3*i^3 - 4*a*b^3*c^3*d*g^3*i^3 - 4*a^3*b*c*d^3*g^3*i^3 + 6*a^2*b^2*c^2*d^2*g^3*i^3)*2i)/(g^3*i^3*(a*d - b*c)^5))*12i)/(g^3*i^3*(a*d - b*c)^5) - (3*B*b^2*d^2*log(e*((a + b*x)/(c + d*x))^n)^2)/(g^3*i^3*n*(a*d - b*c)^5)","B"
158,1,2400,587,10.216208,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{x\,\left(\frac{5\,B\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)\,\left(a\,d+b\,c\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{5\,B\,b\,d}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B\,a\,b^2\,c\,d^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)+x^2\,\left(\frac{5\,B\,b\,d\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B\,b^2\,d^2\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B\,\left(3\,a\,d+2\,b\,c\right)}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B\,a\,c\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B\,b^3\,d^3\,x^3}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}}{x\,\left(2\,d\,a^3\,c\,g^4\,i^3+3\,b\,a^2\,c^2\,g^4\,i^3\right)+x^2\,\left(a^3\,d^2\,g^4\,i^3+6\,a^2\,b\,c\,d\,g^4\,i^3+3\,a\,b^2\,c^2\,g^4\,i^3\right)+x^3\,\left(3\,a^2\,b\,d^2\,g^4\,i^3+6\,a\,b^2\,c\,d\,g^4\,i^3+b^3\,c^2\,g^4\,i^3\right)+x^4\,\left(2\,c\,b^3\,d\,g^4\,i^3+3\,a\,b^2\,d^2\,g^4\,i^3\right)+a^3\,c^2\,g^4\,i^3+b^3\,d^2\,g^4\,i^3\,x^5}+\frac{10\,B\,b^2\,d^3\,\left(x^2\,\left(\frac{g^4\,i^3\,n\,{\left(a\,d+b\,c\right)}^2\,\left(a\,d-b\,c\right)}{d}+2\,a\,b\,c\,g^4\,i^3\,n\,\left(a\,d-b\,c\right)\right)+b^2\,d\,g^4\,i^3\,n\,x^4\,\left(a\,d-b\,c\right)+\frac{a^2\,c^2\,g^4\,i^3\,n\,\left(a\,d-b\,c\right)}{d}+2\,b\,g^4\,i^3\,n\,x^3\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)+\frac{2\,a\,c\,g^4\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)}{g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6\,\left(x\,\left(2\,d\,a^3\,c\,g^4\,i^3+3\,b\,a^2\,c^2\,g^4\,i^3\right)+x^2\,\left(a^3\,d^2\,g^4\,i^3+6\,a^2\,b\,c\,d\,g^4\,i^3+3\,a\,b^2\,c^2\,g^4\,i^3\right)+x^3\,\left(3\,a^2\,b\,d^2\,g^4\,i^3+6\,a\,b^2\,c\,d\,g^4\,i^3+b^3\,c^2\,g^4\,i^3\right)+x^4\,\left(2\,c\,b^3\,d\,g^4\,i^3+3\,a\,b^2\,d^2\,g^4\,i^3\right)+a^3\,c^2\,g^4\,i^3+b^3\,d^2\,g^4\,i^3\,x^5\right)}\right)+\frac{\frac{12\,A\,b^4\,c^4-18\,A\,a^4\,d^4+9\,B\,a^4\,d^4\,n+4\,B\,b^4\,c^4\,n+282\,A\,a^2\,b^2\,c^2\,d^2-78\,A\,a\,b^3\,c^3\,d+162\,A\,a^3\,b\,c\,d^3+319\,B\,a^2\,b^2\,c^2\,d^2\,n-41\,B\,a\,b^3\,c^3\,d\,n-171\,B\,a^3\,b\,c\,d^3\,n}{6\,\left(a\,d-b\,c\right)}+\frac{5\,x\,\left(18\,A\,a^3\,b\,d^4-6\,A\,b^4\,c^3\,d+66\,A\,a\,b^3\,c^2\,d^2+210\,A\,a^2\,b^2\,c\,d^3-27\,B\,a^3\,b\,d^4\,n-5\,B\,b^4\,c^3\,d\,n+103\,B\,a\,b^3\,c^2\,d^2\,n+25\,B\,a^2\,b^2\,c\,d^3\,n\right)}{6\,\left(a\,d-b\,c\right)}+\frac{20\,x^4\,\left(3\,A\,b^4\,d^4+B\,b^4\,d^4\,n\right)}{a\,d-b\,c}+\frac{10\,x^2\,\left(33\,A\,a^2\,b^2\,d^4+6\,A\,b^4\,c^2\,d^2-7\,B\,a^2\,b^2\,d^4\,n+11\,B\,b^4\,c^2\,d^2\,n+69\,A\,a\,b^3\,c\,d^3+32\,B\,a\,b^3\,c\,d^3\,n\right)}{3\,\left(a\,d-b\,c\right)}+\frac{10\,x^3\,\left(15\,A\,a\,b^3\,d^4+9\,A\,b^4\,c\,d^3+2\,B\,a\,b^3\,d^4\,n+6\,B\,b^4\,c\,d^3\,n\right)}{a\,d-b\,c}}{x^5\,\left(6\,a^4\,b^3\,d^6\,g^4\,i^3-24\,a^3\,b^4\,c\,d^5\,g^4\,i^3+36\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-24\,a\,b^6\,c^3\,d^3\,g^4\,i^3+6\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(12\,a^7\,c\,d^5\,g^4\,i^3-30\,a^6\,b\,c^2\,d^4\,g^4\,i^3+60\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-60\,a^3\,b^4\,c^5\,d\,g^4\,i^3+18\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(6\,a^7\,d^6\,g^4\,i^3+12\,a^6\,b\,c\,d^5\,g^4\,i^3-90\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+120\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-30\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-36\,a^2\,b^5\,c^5\,d\,g^4\,i^3+18\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(18\,a^6\,b\,d^6\,g^4\,i^3-36\,a^5\,b^2\,c\,d^5\,g^4\,i^3-30\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+120\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-90\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+12\,a\,b^6\,c^5\,d\,g^4\,i^3+6\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(18\,a^5\,b^2\,d^6\,g^4\,i^3-60\,a^4\,b^3\,c\,d^5\,g^4\,i^3+60\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-30\,a\,b^6\,c^4\,d^2\,g^4\,i^3+12\,b^7\,c^5\,d\,g^4\,i^3\right)+6\,a^3\,b^4\,c^6\,g^4\,i^3+6\,a^7\,c^2\,d^4\,g^4\,i^3-24\,a^4\,b^3\,c^5\,d\,g^4\,i^3-24\,a^6\,b\,c^3\,d^3\,g^4\,i^3+36\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3}-\frac{5\,B\,b^2\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6}+\frac{b^2\,d^3\,\mathrm{atan}\left(\frac{b^2\,d^3\,\left(3\,A+B\,n\right)\,\left(\frac{a^6\,d^6\,g^4\,i^3-4\,a^5\,b\,c\,d^5\,g^4\,i^3+5\,a^4\,b^2\,c^2\,d^4\,g^4\,i^3-5\,a^2\,b^4\,c^4\,d^2\,g^4\,i^3+4\,a\,b^5\,c^5\,d\,g^4\,i^3-b^6\,c^6\,g^4\,i^3}{a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3}+2\,b\,d\,x\right)\,\left(a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3\right)\,10{}\mathrm{i}}{g^4\,i^3\,\left(30\,A\,b^2\,d^3+10\,B\,b^2\,d^3\,n\right)\,{\left(a\,d-b\,c\right)}^6}\right)\,\left(3\,A+B\,n\right)\,20{}\mathrm{i}}{3\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((x*((5*B*(2*a*b*d^2 + b^2*c*d)*(a*d + b*c))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (5*B*b*d)/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B*a*b^2*c*d^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + x^2*((5*B*b*d*(2*a*b*d^2 + b^2*c*d))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B*b^2*d^2*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (B*(3*a*d + 2*b*c))/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B*a*c*(2*a*b*d^2 + b^2*c*d))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B*b^3*d^3*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)/(x*(2*a^3*c*d*g^4*i^3 + 3*a^2*b*c^2*g^4*i^3) + x^2*(a^3*d^2*g^4*i^3 + 3*a*b^2*c^2*g^4*i^3 + 6*a^2*b*c*d*g^4*i^3) + x^3*(b^3*c^2*g^4*i^3 + 3*a^2*b*d^2*g^4*i^3 + 6*a*b^2*c*d*g^4*i^3) + x^4*(2*b^3*c*d*g^4*i^3 + 3*a*b^2*d^2*g^4*i^3) + a^3*c^2*g^4*i^3 + b^3*d^2*g^4*i^3*x^5) + (10*B*b^2*d^3*(x^2*((g^4*i^3*n*(a*d + b*c)^2*(a*d - b*c))/d + 2*a*b*c*g^4*i^3*n*(a*d - b*c)) + b^2*d*g^4*i^3*n*x^4*(a*d - b*c) + (a^2*c^2*g^4*i^3*n*(a*d - b*c))/d + 2*b*g^4*i^3*n*x^3*(a*d + b*c)*(a*d - b*c) + (2*a*c*g^4*i^3*n*x*(a*d + b*c)*(a*d - b*c))/d))/(g^4*i^3*n*(a*d - b*c)^6*(x*(2*a^3*c*d*g^4*i^3 + 3*a^2*b*c^2*g^4*i^3) + x^2*(a^3*d^2*g^4*i^3 + 3*a*b^2*c^2*g^4*i^3 + 6*a^2*b*c*d*g^4*i^3) + x^3*(b^3*c^2*g^4*i^3 + 3*a^2*b*d^2*g^4*i^3 + 6*a*b^2*c*d*g^4*i^3) + x^4*(2*b^3*c*d*g^4*i^3 + 3*a*b^2*d^2*g^4*i^3) + a^3*c^2*g^4*i^3 + b^3*d^2*g^4*i^3*x^5))) + ((12*A*b^4*c^4 - 18*A*a^4*d^4 + 9*B*a^4*d^4*n + 4*B*b^4*c^4*n + 282*A*a^2*b^2*c^2*d^2 - 78*A*a*b^3*c^3*d + 162*A*a^3*b*c*d^3 + 319*B*a^2*b^2*c^2*d^2*n - 41*B*a*b^3*c^3*d*n - 171*B*a^3*b*c*d^3*n)/(6*(a*d - b*c)) + (5*x*(18*A*a^3*b*d^4 - 6*A*b^4*c^3*d + 66*A*a*b^3*c^2*d^2 + 210*A*a^2*b^2*c*d^3 - 27*B*a^3*b*d^4*n - 5*B*b^4*c^3*d*n + 103*B*a*b^3*c^2*d^2*n + 25*B*a^2*b^2*c*d^3*n))/(6*(a*d - b*c)) + (20*x^4*(3*A*b^4*d^4 + B*b^4*d^4*n))/(a*d - b*c) + (10*x^2*(33*A*a^2*b^2*d^4 + 6*A*b^4*c^2*d^2 - 7*B*a^2*b^2*d^4*n + 11*B*b^4*c^2*d^2*n + 69*A*a*b^3*c*d^3 + 32*B*a*b^3*c*d^3*n))/(3*(a*d - b*c)) + (10*x^3*(15*A*a*b^3*d^4 + 9*A*b^4*c*d^3 + 2*B*a*b^3*d^4*n + 6*B*b^4*c*d^3*n))/(a*d - b*c))/(x^5*(6*a^4*b^3*d^6*g^4*i^3 + 6*b^7*c^4*d^2*g^4*i^3 - 24*a*b^6*c^3*d^3*g^4*i^3 - 24*a^3*b^4*c*d^5*g^4*i^3 + 36*a^2*b^5*c^2*d^4*g^4*i^3) + x*(18*a^2*b^5*c^6*g^4*i^3 + 12*a^7*c*d^5*g^4*i^3 - 60*a^3*b^4*c^5*d*g^4*i^3 - 30*a^6*b*c^2*d^4*g^4*i^3 + 60*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(6*a^7*d^6*g^4*i^3 + 18*a*b^6*c^6*g^4*i^3 + 12*a^6*b*c*d^5*g^4*i^3 - 36*a^2*b^5*c^5*d*g^4*i^3 - 30*a^3*b^4*c^4*d^2*g^4*i^3 + 120*a^4*b^3*c^3*d^3*g^4*i^3 - 90*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(6*b^7*c^6*g^4*i^3 + 18*a^6*b*d^6*g^4*i^3 + 12*a*b^6*c^5*d*g^4*i^3 - 36*a^5*b^2*c*d^5*g^4*i^3 - 90*a^2*b^5*c^4*d^2*g^4*i^3 + 120*a^3*b^4*c^3*d^3*g^4*i^3 - 30*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(18*a^5*b^2*d^6*g^4*i^3 + 12*b^7*c^5*d*g^4*i^3 - 30*a*b^6*c^4*d^2*g^4*i^3 - 60*a^4*b^3*c*d^5*g^4*i^3 + 60*a^3*b^4*c^2*d^4*g^4*i^3) + 6*a^3*b^4*c^6*g^4*i^3 + 6*a^7*c^2*d^4*g^4*i^3 - 24*a^4*b^3*c^5*d*g^4*i^3 - 24*a^6*b*c^3*d^3*g^4*i^3 + 36*a^5*b^2*c^4*d^2*g^4*i^3) + (b^2*d^3*atan((b^2*d^3*(3*A + B*n)*((a^6*d^6*g^4*i^3 - b^6*c^6*g^4*i^3 + 4*a*b^5*c^5*d*g^4*i^3 - 4*a^5*b*c*d^5*g^4*i^3 - 5*a^2*b^4*c^4*d^2*g^4*i^3 + 5*a^4*b^2*c^2*d^4*g^4*i^3)/(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3) + 2*b*d*x)*(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3)*10i)/(g^4*i^3*(30*A*b^2*d^3 + 10*B*b^2*d^3*n)*(a*d - b*c)^6))*(3*A + B*n)*20i)/(3*g^4*i^3*(a*d - b*c)^6) - (5*B*b^2*d^3*log(e*((a + b*x)/(c + d*x))^n)^2)/(g^4*i^3*n*(a*d - b*c)^6)","B"
159,0,-1,584,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
160,0,-1,487,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
161,0,-1,372,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(a\,g+b\,g\,x\right)\,\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
162,0,-1,220,0.000000,"\text{Not used}","int((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
163,0,-1,306,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x),x)","\int \frac{\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x), x)","F"
164,0,-1,261,0.000000,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2,x)","\int \frac{\left(c\,i+d\,i\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2, x)","F"
165,1,561,151,6.821406,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^3,x)","-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{2\,b}+\frac{B^2\,d\,i\,x}{b}+\frac{B^2\,a\,d\,i}{2\,b^2}}{a^2\,g^3+2\,a\,b\,g^3\,x+b^2\,g^3\,x^2}-\frac{B^2\,d^2\,i}{2\,b^2\,g^3\,\left(a\,d-b\,c\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B\,a\,d\,i+A\,B\,b\,c\,i-B^2\,a\,d\,i\,n+B^2\,b\,c\,i\,n+2\,A\,B\,b\,d\,i\,x}{a^2\,b^2\,g^3+2\,a\,b^3\,g^3\,x+b^4\,g^3\,x^2}+\frac{B^2\,d^2\,i\,\left(\frac{a\,b^2\,g^3\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,g^3\,n\,x\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^3\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)}{b^2\,g^3\,\left(a\,d-b\,c\right)\,\left(a^2\,b^2\,g^3+2\,a\,b^3\,g^3\,x+b^4\,g^3\,x^2\right)}\right)-\frac{x\,\left(2\,b\,d\,i\,A^2+2\,b\,d\,i\,A\,B\,n+b\,d\,i\,B^2\,n^2\right)+A^2\,a\,d\,i+A^2\,b\,c\,i+\frac{B^2\,a\,d\,i\,n^2}{2}+\frac{B^2\,b\,c\,i\,n^2}{2}+A\,B\,a\,d\,i\,n+A\,B\,b\,c\,i\,n}{2\,a^2\,b^2\,g^3+4\,a\,b^3\,g^3\,x+2\,b^4\,g^3\,x^2}-\frac{B\,d^2\,i\,n\,\mathrm{atan}\left(\frac{B\,d^2\,i\,n\,\left(2\,A+B\,n\right)\,\left(\frac{c\,b^3\,g^3+a\,d\,b^2\,g^3}{b^2\,g^3}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(i\,B^2\,d^2\,n^2+2\,A\,i\,B\,d^2\,n\right)}\right)\,\left(2\,A+B\,n\right)\,1{}\mathrm{i}}{b^2\,g^3\,\left(a\,d-b\,c\right)}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*c*i)/(2*b) + (B^2*d*i*x)/b + (B^2*a*d*i)/(2*b^2))/(a^2*g^3 + b^2*g^3*x^2 + 2*a*b*g^3*x) - (B^2*d^2*i)/(2*b^2*g^3*(a*d - b*c))) - log(e*((a + b*x)/(c + d*x))^n)*((A*B*a*d*i + A*B*b*c*i - B^2*a*d*i*n + B^2*b*c*i*n + 2*A*B*b*d*i*x)/(a^2*b^2*g^3 + b^4*g^3*x^2 + 2*a*b^3*g^3*x) + (B^2*d^2*i*((a*b^2*g^3*n*(a*d - b*c))/(2*d) + (b^3*g^3*n*x*(a*d - b*c))/d + (b^2*g^3*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)))/(b^2*g^3*(a*d - b*c)*(a^2*b^2*g^3 + b^4*g^3*x^2 + 2*a*b^3*g^3*x))) - (x*(2*A^2*b*d*i + B^2*b*d*i*n^2 + 2*A*B*b*d*i*n) + A^2*a*d*i + A^2*b*c*i + (B^2*a*d*i*n^2)/2 + (B^2*b*c*i*n^2)/2 + A*B*a*d*i*n + A*B*b*c*i*n)/(2*a^2*b^2*g^3 + 2*b^4*g^3*x^2 + 4*a*b^3*g^3*x) - (B*d^2*i*n*atan((B*d^2*i*n*(2*A + B*n)*((b^3*c*g^3 + a*b^2*d*g^3)/(b^2*g^3) + 2*b*d*x)*1i)/((a*d - b*c)*(B^2*d^2*i*n^2 + 2*A*B*d^2*i*n)))*(2*A + B*n)*1i)/(b^2*g^3*(a*d - b*c))","B"
166,1,993,307,7.857385,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^4,x)","-\frac{\frac{18\,i\,A^2\,a^2\,d^2+18\,i\,A^2\,a\,b\,c\,d-36\,i\,A^2\,b^2\,c^2+30\,i\,A\,B\,a^2\,d^2\,n+30\,i\,A\,B\,a\,b\,c\,d\,n-24\,i\,A\,B\,b^2\,c^2\,n+19\,i\,B^2\,a^2\,d^2\,n^2+19\,i\,B^2\,a\,b\,c\,d\,n^2-8\,i\,B^2\,b^2\,c^2\,n^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-18\,c\,i\,A^2\,b^2\,d+18\,a\,i\,A^2\,b\,d^2-6\,c\,i\,A\,B\,b^2\,d\,n+30\,a\,i\,A\,B\,b\,d^2\,n+c\,i\,B^2\,b^2\,d\,n^2+19\,a\,i\,B^2\,b\,d^2\,n^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(5\,i\,B^2\,b^2\,d^2\,n^2+6\,A\,i\,B\,b^2\,d^2\,n\right)}{a\,d-b\,c}}{18\,a^3\,b^2\,g^4+54\,a^2\,b^3\,g^4\,x+54\,a\,b^4\,g^4\,x^2+18\,b^5\,g^4\,x^3}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{3\,b}+\frac{B^2\,d\,i\,x}{2\,b}+\frac{B^2\,a\,d\,i}{6\,b^2}}{a^3\,g^4+3\,a^2\,b\,g^4\,x+3\,a\,b^2\,g^4\,x^2+b^3\,g^4\,x^3}-\frac{B^2\,d^3\,i}{6\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B\,a\,d\,i+2\,A\,B\,b\,c\,i-B^2\,a\,d\,i\,n+B^2\,b\,c\,i\,n+3\,A\,B\,b\,d\,i\,x}{3\,a^3\,b^2\,g^4+9\,a^2\,b^3\,g^4\,x+9\,a\,b^4\,g^4\,x^2+3\,b^5\,g^4\,x^3}+\frac{B^2\,d^3\,i\,\left(x\,\left(b\,\left(\frac{a\,b^2\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{2\,a\,b^3\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{d^2}\right)+a\,\left(\frac{a\,b^2\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,b^4\,g^4\,n\,x^2\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)}{3\,b^2\,g^4\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(3\,a^3\,b^2\,g^4+9\,a^2\,b^3\,g^4\,x+9\,a\,b^4\,g^4\,x^2+3\,b^5\,g^4\,x^3\right)}\right)-\frac{B\,d^3\,i\,n\,\mathrm{atan}\left(\frac{B\,d^3\,i\,n\,\left(6\,A+5\,B\,n\right)\,\left(2\,b\,d\,x-\frac{b^4\,c^2\,g^4-a^2\,b^2\,d^2\,g^4}{b^2\,g^4\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(5\,i\,B^2\,d^3\,n^2+6\,A\,i\,B\,d^3\,n\right)}\right)\,\left(6\,A+5\,B\,n\right)\,1{}\mathrm{i}}{9\,b^2\,g^4\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((18*A^2*a^2*d^2*i - 36*A^2*b^2*c^2*i + 19*B^2*a^2*d^2*i*n^2 - 8*B^2*b^2*c^2*i*n^2 + 30*A*B*a^2*d^2*i*n - 24*A*B*b^2*c^2*i*n + 18*A^2*a*b*c*d*i + 19*B^2*a*b*c*d*i*n^2 + 30*A*B*a*b*c*d*i*n)/(6*(a*d - b*c)) + (x*(18*A^2*a*b*d^2*i - 18*A^2*b^2*c*d*i + 19*B^2*a*b*d^2*i*n^2 + B^2*b^2*c*d*i*n^2 + 30*A*B*a*b*d^2*i*n - 6*A*B*b^2*c*d*i*n))/(2*(a*d - b*c)) + (x^2*(5*B^2*b^2*d^2*i*n^2 + 6*A*B*b^2*d^2*i*n))/(a*d - b*c))/(18*a^3*b^2*g^4 + 18*b^5*g^4*x^3 + 54*a^2*b^3*g^4*x + 54*a*b^4*g^4*x^2) - log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*c*i)/(3*b) + (B^2*d*i*x)/(2*b) + (B^2*a*d*i)/(6*b^2))/(a^3*g^4 + b^3*g^4*x^3 + 3*a*b^2*g^4*x^2 + 3*a^2*b*g^4*x) - (B^2*d^3*i)/(6*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - log(e*((a + b*x)/(c + d*x))^n)*((A*B*a*d*i + 2*A*B*b*c*i - B^2*a*d*i*n + B^2*b*c*i*n + 3*A*B*b*d*i*x)/(3*a^3*b^2*g^4 + 3*b^5*g^4*x^3 + 9*a^2*b^3*g^4*x + 9*a*b^4*g^4*x^2) + (B^2*d^3*i*(x*(b*((a*b^2*g^4*n*(a*d - b*c))/d + (b^2*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2)) + (2*a*b^3*g^4*n*(a*d - b*c))/d + (b^3*g^4*n*(a*d - b*c)*(3*a*d - b*c))/d^2) + a*((a*b^2*g^4*n*(a*d - b*c))/d + (b^2*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2)) + (3*b^4*g^4*n*x^2*(a*d - b*c))/d + (b^2*g^4*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3))/(3*b^2*g^4*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(3*a^3*b^2*g^4 + 3*b^5*g^4*x^3 + 9*a^2*b^3*g^4*x + 9*a*b^4*g^4*x^2))) - (B*d^3*i*n*atan((B*d^3*i*n*(6*A + 5*B*n)*(2*b*d*x - (b^4*c^2*g^4 - a^2*b^2*d^2*g^4)/(b^2*g^4*(a*d - b*c)))*1i)/((a*d - b*c)*(5*B^2*d^3*i*n^2 + 6*A*B*d^3*i*n)))*(6*A + 5*B*n)*1i)/(9*b^2*g^4*(a*d - b*c)^2)","B"
167,1,1794,475,9.741118,"\text{Not used}","int(((c*i + d*i*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^5,x)","\frac{\frac{72\,i\,A^2\,a^3\,d^3+72\,i\,A^2\,a^2\,b\,c\,d^2-360\,i\,A^2\,a\,b^2\,c^2\,d+216\,i\,A^2\,b^3\,c^3+156\,i\,A\,B\,a^3\,d^3\,n+156\,i\,A\,B\,a^2\,b\,c\,d^2\,n-276\,i\,A\,B\,a\,b^2\,c^2\,d\,n+108\,i\,A\,B\,b^3\,c^3\,n+115\,i\,B^2\,a^3\,d^3\,n^2+115\,i\,B^2\,a^2\,b\,c\,d^2\,n^2-101\,i\,B^2\,a\,b^2\,c^2\,d\,n^2+27\,i\,B^2\,b^3\,c^3\,n^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-c\,i\,B^2\,b^3\,d^2\,n^2+79\,a\,i\,B^2\,b^2\,d^3\,n^2-12\,A\,c\,i\,B\,b^3\,d^2\,n+84\,A\,a\,i\,B\,b^2\,d^3\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(72\,i\,A^2\,a^2\,b\,d^3-144\,i\,A^2\,a\,b^2\,c\,d^2+72\,i\,A^2\,b^3\,c^2\,d+156\,i\,A\,B\,a^2\,b\,d^3\,n-60\,i\,A\,B\,a\,b^2\,c\,d^2\,n+12\,i\,A\,B\,b^3\,c^2\,d\,n+115\,i\,B^2\,a^2\,b\,d^3\,n^2+7\,i\,B^2\,a\,b^2\,c\,d^2\,n^2-5\,i\,B^2\,b^3\,c^2\,d\,n^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(13\,i\,B^2\,b^3\,d^2\,n^2+12\,A\,i\,B\,b^3\,d^2\,n\right)}{a\,d-b\,c}}{x\,\left(288\,a^3\,b^4\,c\,g^5-288\,a^4\,b^3\,d\,g^5\right)-x^3\,\left(288\,a^2\,b^5\,d\,g^5-288\,a\,b^6\,c\,g^5\right)+x^4\,\left(72\,b^7\,c\,g^5-72\,a\,b^6\,d\,g^5\right)+x^2\,\left(432\,a^2\,b^5\,c\,g^5-432\,a^3\,b^4\,d\,g^5\right)+72\,a^4\,b^3\,c\,g^5-72\,a^5\,b^2\,d\,g^5}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,c\,i}{4\,b}+\frac{B^2\,d\,i\,x}{3\,b}+\frac{B^2\,a\,d\,i}{12\,b^2}}{a^4\,g^5+4\,a^3\,b\,g^5\,x+6\,a^2\,b^2\,g^5\,x^2+4\,a\,b^3\,g^5\,x^3+b^4\,g^5\,x^4}-\frac{B^2\,d^4\,i}{12\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B\,a\,d\,i+3\,A\,B\,b\,c\,i-B^2\,a\,d\,i\,n+B^2\,b\,c\,i\,n+4\,A\,B\,b\,d\,i\,x}{6\,a^4\,b^2\,g^5+24\,a^3\,b^3\,g^5\,x+36\,a^2\,b^4\,g^5\,x^2+24\,a\,b^5\,g^5\,x^3+6\,b^6\,g^5\,x^4}+\frac{B^2\,d^4\,i\,\left(x^2\,\left(b\,\left(b\,\left(\frac{3\,a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{d^2}\right)+\frac{9\,a\,b^4\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{3\,b^4\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+a\,\left(a\,\left(\frac{3\,a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+x\,\left(a\,\left(b\,\left(\frac{3\,a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{d^2}\right)+b\,\left(a\,\left(\frac{3\,a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{2\,d^4}+\frac{6\,b^5\,g^5\,n\,x^3\,\left(a\,d-b\,c\right)}{d}\right)}{6\,b^2\,g^5\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(6\,a^4\,b^2\,g^5+24\,a^3\,b^3\,g^5\,x+36\,a^2\,b^4\,g^5\,x^2+24\,a\,b^5\,g^5\,x^3+6\,b^6\,g^5\,x^4\right)}\right)-\frac{B\,d^4\,i\,n\,\mathrm{atan}\left(\frac{B\,d^4\,i\,n\,\left(12\,A+13\,B\,n\right)\,\left(\frac{a^3\,b^2\,d^3\,g^5-a^2\,b^3\,c\,d^2\,g^5-a\,b^4\,c^2\,d\,g^5+b^5\,c^3\,g^5}{a^2\,b^2\,d^2\,g^5-2\,a\,b^3\,c\,d\,g^5+b^4\,c^2\,g^5}+2\,b\,d\,x\right)\,\left(a^2\,b^2\,d^2\,g^5-2\,a\,b^3\,c\,d\,g^5+b^4\,c^2\,g^5\right)\,1{}\mathrm{i}}{b^2\,g^5\,{\left(a\,d-b\,c\right)}^3\,\left(13\,i\,B^2\,d^4\,n^2+12\,A\,i\,B\,d^4\,n\right)}\right)\,\left(12\,A+13\,B\,n\right)\,1{}\mathrm{i}}{36\,b^2\,g^5\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((72*A^2*a^3*d^3*i + 216*A^2*b^3*c^3*i + 115*B^2*a^3*d^3*i*n^2 + 27*B^2*b^3*c^3*i*n^2 + 156*A*B*a^3*d^3*i*n + 108*A*B*b^3*c^3*i*n - 360*A^2*a*b^2*c^2*d*i + 72*A^2*a^2*b*c*d^2*i - 101*B^2*a*b^2*c^2*d*i*n^2 + 115*B^2*a^2*b*c*d^2*i*n^2 - 276*A*B*a*b^2*c^2*d*i*n + 156*A*B*a^2*b*c*d^2*i*n)/(12*(a*d - b*c)) + (x^2*(79*B^2*a*b^2*d^3*i*n^2 - B^2*b^3*c*d^2*i*n^2 + 84*A*B*a*b^2*d^3*i*n - 12*A*B*b^3*c*d^2*i*n))/(2*(a*d - b*c)) + (x*(72*A^2*a^2*b*d^3*i + 72*A^2*b^3*c^2*d*i + 115*B^2*a^2*b*d^3*i*n^2 - 5*B^2*b^3*c^2*d*i*n^2 - 144*A^2*a*b^2*c*d^2*i + 7*B^2*a*b^2*c*d^2*i*n^2 + 156*A*B*a^2*b*d^3*i*n + 12*A*B*b^3*c^2*d*i*n - 60*A*B*a*b^2*c*d^2*i*n))/(3*(a*d - b*c)) + (d*x^3*(13*B^2*b^3*d^2*i*n^2 + 12*A*B*b^3*d^2*i*n))/(a*d - b*c))/(x*(288*a^3*b^4*c*g^5 - 288*a^4*b^3*d*g^5) - x^3*(288*a^2*b^5*d*g^5 - 288*a*b^6*c*g^5) + x^4*(72*b^7*c*g^5 - 72*a*b^6*d*g^5) + x^2*(432*a^2*b^5*c*g^5 - 432*a^3*b^4*d*g^5) + 72*a^4*b^3*c*g^5 - 72*a^5*b^2*d*g^5) - log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*c*i)/(4*b) + (B^2*d*i*x)/(3*b) + (B^2*a*d*i)/(12*b^2))/(a^4*g^5 + b^4*g^5*x^4 + 4*a*b^3*g^5*x^3 + 6*a^2*b^2*g^5*x^2 + 4*a^3*b*g^5*x) - (B^2*d^4*i)/(12*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - log(e*((a + b*x)/(c + d*x))^n)*((A*B*a*d*i + 3*A*B*b*c*i - B^2*a*d*i*n + B^2*b*c*i*n + 4*A*B*b*d*i*x)/(6*a^4*b^2*g^5 + 6*b^6*g^5*x^4 + 24*a^3*b^3*g^5*x + 24*a*b^5*g^5*x^3 + 36*a^2*b^4*g^5*x^2) + (B^2*d^4*i*(x^2*(b*(b*((3*a*b^2*g^5*n*(a*d - b*c))/(2*d) + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (3*a*b^3*g^5*n*(a*d - b*c))/d + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/d^2) + (9*a*b^4*g^5*n*(a*d - b*c))/(2*d) + (3*b^4*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + a*(a*((3*a*b^2*g^5*n*(a*d - b*c))/(2*d) + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (b^2*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + x*(a*(b*((3*a*b^2*g^5*n*(a*d - b*c))/(2*d) + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (3*a*b^3*g^5*n*(a*d - b*c))/d + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/d^2) + b*(a*((3*a*b^2*g^5*n*(a*d - b*c))/(2*d) + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (b^2*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + (3*b^3*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + (3*b^2*g^5*n*(a*d - b*c)*(4*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2))/(2*d^4) + (6*b^5*g^5*n*x^3*(a*d - b*c))/d))/(6*b^2*g^5*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(6*a^4*b^2*g^5 + 6*b^6*g^5*x^4 + 24*a^3*b^3*g^5*x + 24*a*b^5*g^5*x^3 + 36*a^2*b^4*g^5*x^2))) - (B*d^4*i*n*atan((B*d^4*i*n*(12*A + 13*B*n)*((b^5*c^3*g^5 + a^3*b^2*d^3*g^5 - a*b^4*c^2*d*g^5 - a^2*b^3*c*d^2*g^5)/(b^4*c^2*g^5 + a^2*b^2*d^2*g^5 - 2*a*b^3*c*d*g^5) + 2*b*d*x)*(b^4*c^2*g^5 + a^2*b^2*d^2*g^5 - 2*a*b^3*c*d*g^5)*1i)/(b^2*g^5*(a*d - b*c)^3*(13*B^2*d^4*i*n^2 + 12*A*B*d^4*i*n)))*(12*A + 13*B*n)*1i)/(36*b^2*g^5*(a*d - b*c)^3)","B"
168,0,-1,766,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
169,0,-1,819,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
170,0,-1,635,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
171,0,-1,361,0.000000,"\text{Not used}","int((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
172,0,-1,572,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x), x)","F"
173,0,-1,472,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2, x)","F"
174,0,-1,417,0.000000,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^3, x)","F"
175,1,1195,157,7.477118,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^4,x)","-\frac{x\,\left(9\,c\,A^2\,b^2\,d\,i^2+9\,a\,A^2\,b\,d^2\,i^2+6\,c\,A\,B\,b^2\,d\,i^2\,n+6\,a\,A\,B\,b\,d^2\,i^2\,n+2\,c\,B^2\,b^2\,d\,i^2\,n^2+2\,a\,B^2\,b\,d^2\,i^2\,n^2\right)+x^2\,\left(9\,A^2\,b^2\,d^2\,i^2+6\,A\,B\,b^2\,d^2\,i^2\,n+2\,B^2\,b^2\,d^2\,i^2\,n^2\right)+3\,A^2\,a^2\,d^2\,i^2+3\,A^2\,b^2\,c^2\,i^2+\frac{2\,B^2\,a^2\,d^2\,i^2\,n^2}{3}+\frac{2\,B^2\,b^2\,c^2\,i^2\,n^2}{3}+3\,A^2\,a\,b\,c\,d\,i^2+2\,A\,B\,a^2\,d^2\,i^2\,n+2\,A\,B\,b^2\,c^2\,i^2\,n+\frac{2\,B^2\,a\,b\,c\,d\,i^2\,n^2}{3}+2\,A\,B\,a\,b\,c\,d\,i^2\,n}{9\,a^3\,b^3\,g^4+27\,a^2\,b^4\,g^4\,x+27\,a\,b^5\,g^4\,x^2+9\,b^6\,g^4\,x^3}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{a\,\left(-a\,n\,B^2\,d^2\,i^2+b\,c\,n\,B^2\,d\,i^2+2\,A\,a\,B\,d^2\,i^2+2\,A\,b\,c\,B\,d\,i^2\right)+x\,\left(b\,\left(-a\,n\,B^2\,d^2\,i^2+b\,c\,n\,B^2\,d\,i^2+2\,A\,a\,B\,d^2\,i^2+2\,A\,b\,c\,B\,d\,i^2\right)+4\,A\,B\,a\,b\,d^2\,i^2+4\,A\,B\,b^2\,c\,d\,i^2-2\,B^2\,a\,b\,d^2\,i^2\,n+2\,B^2\,b^2\,c\,d\,i^2\,n\right)+2\,A\,B\,b^2\,c^2\,i^2-2\,B^2\,a^2\,d^2\,i^2\,n+6\,A\,B\,b^2\,d^2\,i^2\,x^2+2\,B^2\,a\,b\,c\,d\,i^2\,n}{3\,a^3\,b^3\,g^4+9\,a^2\,b^4\,g^4\,x+9\,a\,b^5\,g^4\,x^2+3\,b^6\,g^4\,x^3}+\frac{2\,B^2\,d^3\,i^2\,\left(x\,\left(b\,\left(\frac{a\,b^3\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{2\,a\,b^4\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^4\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{d^2}\right)+a\,\left(\frac{a\,b^3\,g^4\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,b^5\,g^4\,n\,x^2\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)\,\left(3\,a^3\,b^3\,g^4+9\,a^2\,b^4\,g^4\,x+9\,a\,b^5\,g^4\,x^2+3\,b^6\,g^4\,x^3\right)}\right)-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{a\,\left(\frac{B^2\,c\,d\,i^2}{3\,b^2}+\frac{B^2\,a\,d^2\,i^2}{3\,b^3}\right)+x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{3\,b^2}+\frac{B^2\,a\,d^2\,i^2}{3\,b^3}\right)+\frac{2\,B^2\,c\,d\,i^2}{3\,b}+\frac{2\,B^2\,a\,d^2\,i^2}{3\,b^2}\right)+\frac{B^2\,c^2\,i^2}{3\,b}+\frac{B^2\,d^2\,i^2\,x^2}{b}}{a^3\,g^4+3\,a^2\,b\,g^4\,x+3\,a\,b^2\,g^4\,x^2+b^3\,g^4\,x^3}-\frac{B^2\,d^3\,i^2}{3\,b^3\,g^4\,\left(a\,d-b\,c\right)}\right)-\frac{B\,d^3\,i^2\,n\,\mathrm{atan}\left(\frac{\left(\frac{9\,c\,b^4\,g^4+9\,a\,d\,b^3\,g^4}{9\,b^3\,g^4}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(3\,A+B\,n\right)\,4{}\mathrm{i}}{9\,b^3\,g^4\,\left(a\,d-b\,c\right)}","Not used",1,"- (x*(9*A^2*a*b*d^2*i^2 + 9*A^2*b^2*c*d*i^2 + 2*B^2*a*b*d^2*i^2*n^2 + 2*B^2*b^2*c*d*i^2*n^2 + 6*A*B*a*b*d^2*i^2*n + 6*A*B*b^2*c*d*i^2*n) + x^2*(9*A^2*b^2*d^2*i^2 + 2*B^2*b^2*d^2*i^2*n^2 + 6*A*B*b^2*d^2*i^2*n) + 3*A^2*a^2*d^2*i^2 + 3*A^2*b^2*c^2*i^2 + (2*B^2*a^2*d^2*i^2*n^2)/3 + (2*B^2*b^2*c^2*i^2*n^2)/3 + 3*A^2*a*b*c*d*i^2 + 2*A*B*a^2*d^2*i^2*n + 2*A*B*b^2*c^2*i^2*n + (2*B^2*a*b*c*d*i^2*n^2)/3 + 2*A*B*a*b*c*d*i^2*n)/(9*a^3*b^3*g^4 + 9*b^6*g^4*x^3 + 27*a^2*b^4*g^4*x + 27*a*b^5*g^4*x^2) - log(e*((a + b*x)/(c + d*x))^n)*((a*(2*A*B*a*d^2*i^2 - B^2*a*d^2*i^2*n + B^2*b*c*d*i^2*n + 2*A*B*b*c*d*i^2) + x*(b*(2*A*B*a*d^2*i^2 - B^2*a*d^2*i^2*n + B^2*b*c*d*i^2*n + 2*A*B*b*c*d*i^2) + 4*A*B*a*b*d^2*i^2 + 4*A*B*b^2*c*d*i^2 - 2*B^2*a*b*d^2*i^2*n + 2*B^2*b^2*c*d*i^2*n) + 2*A*B*b^2*c^2*i^2 - 2*B^2*a^2*d^2*i^2*n + 6*A*B*b^2*d^2*i^2*x^2 + 2*B^2*a*b*c*d*i^2*n)/(3*a^3*b^3*g^4 + 3*b^6*g^4*x^3 + 9*a^2*b^4*g^4*x + 9*a*b^5*g^4*x^2) + (2*B^2*d^3*i^2*(x*(b*((a*b^3*g^4*n*(a*d - b*c))/d + (b^3*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2)) + (2*a*b^4*g^4*n*(a*d - b*c))/d + (b^4*g^4*n*(a*d - b*c)*(3*a*d - b*c))/d^2) + a*((a*b^3*g^4*n*(a*d - b*c))/d + (b^3*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2)) + (3*b^5*g^4*n*x^2*(a*d - b*c))/d + (b^3*g^4*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3))/(3*b^3*g^4*(a*d - b*c)*(3*a^3*b^3*g^4 + 3*b^6*g^4*x^3 + 9*a^2*b^4*g^4*x + 9*a*b^5*g^4*x^2))) - log(e*((a + b*x)/(c + d*x))^n)^2*((a*((B^2*c*d*i^2)/(3*b^2) + (B^2*a*d^2*i^2)/(3*b^3)) + x*(b*((B^2*c*d*i^2)/(3*b^2) + (B^2*a*d^2*i^2)/(3*b^3)) + (2*B^2*c*d*i^2)/(3*b) + (2*B^2*a*d^2*i^2)/(3*b^2)) + (B^2*c^2*i^2)/(3*b) + (B^2*d^2*i^2*x^2)/b)/(a^3*g^4 + b^3*g^4*x^3 + 3*a*b^2*g^4*x^2 + 3*a^2*b*g^4*x) - (B^2*d^3*i^2)/(3*b^3*g^4*(a*d - b*c))) - (B*d^3*i^2*n*atan((((9*b^4*c*g^4 + 9*a*b^3*d*g^4)/(9*b^3*g^4) + 2*b*d*x)*1i)/(a*d - b*c))*(3*A + B*n)*4i)/(9*b^3*g^4*(a*d - b*c))","B"
176,1,1934,319,9.424355,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^5,x)","-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{a\,\left(-\frac{a\,n\,B^2\,d^2\,i^2}{2}+\frac{b\,c\,n\,B^2\,d\,i^2}{2}+A\,a\,B\,d^2\,i^2+2\,A\,b\,c\,B\,d\,i^2\right)+x\,\left(b\,\left(-\frac{a\,n\,B^2\,d^2\,i^2}{2}+\frac{b\,c\,n\,B^2\,d\,i^2}{2}+A\,a\,B\,d^2\,i^2+2\,A\,b\,c\,B\,d\,i^2\right)+3\,A\,B\,a\,b\,d^2\,i^2+6\,A\,B\,b^2\,c\,d\,i^2-\frac{3\,B^2\,a\,b\,d^2\,i^2\,n}{2}+\frac{3\,B^2\,b^2\,c\,d\,i^2\,n}{2}\right)+3\,A\,B\,b^2\,c^2\,i^2-B^2\,a^2\,d^2\,i^2\,n+\frac{B^2\,b^2\,c^2\,i^2\,n}{2}+6\,A\,B\,b^2\,d^2\,i^2\,x^2+\frac{B^2\,a\,b\,c\,d\,i^2\,n}{2}}{6\,a^4\,b^3\,g^5+24\,a^3\,b^4\,g^5\,x+36\,a^2\,b^5\,g^5\,x^2+24\,a\,b^6\,g^5\,x^3+6\,b^7\,g^5\,x^4}+\frac{B^2\,d^4\,i^2\,\left(x^2\,\left(b\,\left(b\,\left(\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,a\,b^4\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^4\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{d^2}\right)+\frac{9\,a\,b^5\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{3\,b^5\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+a\,\left(a\,\left(\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+x\,\left(a\,\left(b\,\left(\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,a\,b^4\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^4\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{d^2}\right)+b\,\left(a\,\left(\frac{3\,a\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^4\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{2\,d^4}+\frac{6\,b^6\,g^5\,n\,x^3\,\left(a\,d-b\,c\right)}{d}\right)}{6\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(6\,a^4\,b^3\,g^5+24\,a^3\,b^4\,g^5\,x+36\,a^2\,b^5\,g^5\,x^2+24\,a\,b^6\,g^5\,x^3+6\,b^7\,g^5\,x^4\right)}\right)-\frac{\frac{72\,A^2\,a^3\,d^3\,i^2+72\,A^2\,a^2\,b\,c\,d^2\,i^2+72\,A^2\,a\,b^2\,c^2\,d\,i^2-216\,A^2\,b^3\,c^3\,i^2+84\,A\,B\,a^3\,d^3\,i^2\,n+84\,A\,B\,a^2\,b\,c\,d^2\,i^2\,n+84\,A\,B\,a\,b^2\,c^2\,d\,i^2\,n-108\,A\,B\,b^3\,c^3\,i^2\,n+37\,B^2\,a^3\,d^3\,i^2\,n^2+37\,B^2\,a^2\,b\,c\,d^2\,i^2\,n^2+37\,B^2\,a\,b^2\,c^2\,d\,i^2\,n^2-27\,B^2\,b^3\,c^3\,i^2\,n^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(7\,B^2\,b^3\,d^3\,i^2\,n^2+12\,A\,B\,b^3\,d^3\,i^2\,n\right)}{a\,d-b\,c}+\frac{x\,\left(72\,A^2\,a^2\,b\,d^3\,i^2+72\,A^2\,a\,b^2\,c\,d^2\,i^2-144\,A^2\,b^3\,c^2\,d\,i^2+84\,A\,B\,a^2\,b\,d^3\,i^2\,n+84\,A\,B\,a\,b^2\,c\,d^2\,i^2\,n-60\,A\,B\,b^3\,c^2\,d\,i^2\,n+37\,B^2\,a^2\,b\,d^3\,i^2\,n^2+37\,B^2\,a\,b^2\,c\,d^2\,i^2\,n^2-11\,B^2\,b^3\,c^2\,d\,i^2\,n^2\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-72\,c\,A^2\,b^3\,d^2\,i^2+72\,a\,A^2\,b^2\,d^3\,i^2-12\,c\,A\,B\,b^3\,d^2\,i^2\,n+84\,a\,A\,B\,b^2\,d^3\,i^2\,n+5\,c\,B^2\,b^3\,d^2\,i^2\,n^2+37\,a\,B^2\,b^2\,d^3\,i^2\,n^2\right)}{2\,\left(a\,d-b\,c\right)}}{72\,a^4\,b^3\,g^5+288\,a^3\,b^4\,g^5\,x+432\,a^2\,b^5\,g^5\,x^2+288\,a\,b^6\,g^5\,x^3+72\,b^7\,g^5\,x^4}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{a\,\left(\frac{B^2\,c\,d\,i^2}{6\,b^2}+\frac{B^2\,a\,d^2\,i^2}{12\,b^3}\right)+x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{6\,b^2}+\frac{B^2\,a\,d^2\,i^2}{12\,b^3}\right)+\frac{B^2\,c\,d\,i^2}{2\,b}+\frac{B^2\,a\,d^2\,i^2}{4\,b^2}\right)+\frac{B^2\,c^2\,i^2}{4\,b}+\frac{B^2\,d^2\,i^2\,x^2}{2\,b}}{a^4\,g^5+4\,a^3\,b\,g^5\,x+6\,a^2\,b^2\,g^5\,x^2+4\,a\,b^3\,g^5\,x^3+b^4\,g^5\,x^4}-\frac{B^2\,d^4\,i^2}{12\,b^3\,g^5\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{B\,d^4\,i^2\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{72\,b^5\,c^2\,g^5-72\,a^2\,b^3\,d^2\,g^5}{72\,b^3\,g^5\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(12\,A+7\,B\,n\right)\,1{}\mathrm{i}}{36\,b^3\,g^5\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)*((a*(A*B*a*d^2*i^2 - (B^2*a*d^2*i^2*n)/2 + (B^2*b*c*d*i^2*n)/2 + 2*A*B*b*c*d*i^2) + x*(b*(A*B*a*d^2*i^2 - (B^2*a*d^2*i^2*n)/2 + (B^2*b*c*d*i^2*n)/2 + 2*A*B*b*c*d*i^2) + 3*A*B*a*b*d^2*i^2 + 6*A*B*b^2*c*d*i^2 - (3*B^2*a*b*d^2*i^2*n)/2 + (3*B^2*b^2*c*d*i^2*n)/2) + 3*A*B*b^2*c^2*i^2 - B^2*a^2*d^2*i^2*n + (B^2*b^2*c^2*i^2*n)/2 + 6*A*B*b^2*d^2*i^2*x^2 + (B^2*a*b*c*d*i^2*n)/2)/(6*a^4*b^3*g^5 + 6*b^7*g^5*x^4 + 24*a^3*b^4*g^5*x + 24*a*b^6*g^5*x^3 + 36*a^2*b^5*g^5*x^2) + (B^2*d^4*i^2*(x^2*(b*(b*((3*a*b^3*g^5*n*(a*d - b*c))/(2*d) + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (3*a*b^4*g^5*n*(a*d - b*c))/d + (b^4*g^5*n*(a*d - b*c)*(4*a*d - b*c))/d^2) + (9*a*b^5*g^5*n*(a*d - b*c))/(2*d) + (3*b^5*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + a*(a*((3*a*b^3*g^5*n*(a*d - b*c))/(2*d) + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (b^3*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + x*(a*(b*((3*a*b^3*g^5*n*(a*d - b*c))/(2*d) + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (3*a*b^4*g^5*n*(a*d - b*c))/d + (b^4*g^5*n*(a*d - b*c)*(4*a*d - b*c))/d^2) + b*(a*((3*a*b^3*g^5*n*(a*d - b*c))/(2*d) + (b^3*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + (b^3*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + (3*b^4*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + (3*b^3*g^5*n*(a*d - b*c)*(4*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2))/(2*d^4) + (6*b^6*g^5*n*x^3*(a*d - b*c))/d))/(6*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(6*a^4*b^3*g^5 + 6*b^7*g^5*x^4 + 24*a^3*b^4*g^5*x + 24*a*b^6*g^5*x^3 + 36*a^2*b^5*g^5*x^2))) - ((72*A^2*a^3*d^3*i^2 - 216*A^2*b^3*c^3*i^2 + 37*B^2*a^3*d^3*i^2*n^2 - 27*B^2*b^3*c^3*i^2*n^2 + 72*A^2*a*b^2*c^2*d*i^2 + 72*A^2*a^2*b*c*d^2*i^2 + 84*A*B*a^3*d^3*i^2*n - 108*A*B*b^3*c^3*i^2*n + 37*B^2*a*b^2*c^2*d*i^2*n^2 + 37*B^2*a^2*b*c*d^2*i^2*n^2 + 84*A*B*a*b^2*c^2*d*i^2*n + 84*A*B*a^2*b*c*d^2*i^2*n)/(12*(a*d - b*c)) + (x^3*(7*B^2*b^3*d^3*i^2*n^2 + 12*A*B*b^3*d^3*i^2*n))/(a*d - b*c) + (x*(72*A^2*a^2*b*d^3*i^2 - 144*A^2*b^3*c^2*d*i^2 + 72*A^2*a*b^2*c*d^2*i^2 + 37*B^2*a^2*b*d^3*i^2*n^2 - 11*B^2*b^3*c^2*d*i^2*n^2 - 60*A*B*b^3*c^2*d*i^2*n + 37*B^2*a*b^2*c*d^2*i^2*n^2 + 84*A*B*a^2*b*d^3*i^2*n + 84*A*B*a*b^2*c*d^2*i^2*n))/(3*(a*d - b*c)) + (x^2*(72*A^2*a*b^2*d^3*i^2 - 72*A^2*b^3*c*d^2*i^2 + 37*B^2*a*b^2*d^3*i^2*n^2 + 5*B^2*b^3*c*d^2*i^2*n^2 - 12*A*B*b^3*c*d^2*i^2*n + 84*A*B*a*b^2*d^3*i^2*n))/(2*(a*d - b*c)))/(72*a^4*b^3*g^5 + 72*b^7*g^5*x^4 + 288*a^3*b^4*g^5*x + 288*a*b^6*g^5*x^3 + 432*a^2*b^5*g^5*x^2) - log(e*((a + b*x)/(c + d*x))^n)^2*((a*((B^2*c*d*i^2)/(6*b^2) + (B^2*a*d^2*i^2)/(12*b^3)) + x*(b*((B^2*c*d*i^2)/(6*b^2) + (B^2*a*d^2*i^2)/(12*b^3)) + (B^2*c*d*i^2)/(2*b) + (B^2*a*d^2*i^2)/(4*b^2)) + (B^2*c^2*i^2)/(4*b) + (B^2*d^2*i^2*x^2)/(2*b))/(a^4*g^5 + b^4*g^5*x^4 + 4*a*b^3*g^5*x^3 + 6*a^2*b^2*g^5*x^2 + 4*a^3*b*g^5*x) - (B^2*d^4*i^2)/(12*b^3*g^5*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (B*d^4*i^2*n*atan(((2*b*d*x - (72*b^5*c^2*g^5 - 72*a^2*b^3*d^2*g^5)/(72*b^3*g^5*(a*d - b*c)))*1i)/(a*d - b*c))*(12*A + 7*B*n)*1i)/(36*b^3*g^5*(a*d - b*c)^2)","B"
177,1,3296,493,11.154171,"\text{Not used}","int(((c*i + d*i*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^6,x)","\frac{\frac{1800\,A^2\,a^4\,d^4\,i^2+1800\,A^2\,a^3\,b\,c\,d^3\,i^2+1800\,A^2\,a^2\,b^2\,c^2\,d^2\,i^2-16200\,A^2\,a\,b^3\,c^3\,d\,i^2+10800\,A^2\,b^4\,c^4\,i^2+2820\,A\,B\,a^4\,d^4\,i^2\,n+2820\,A\,B\,a^3\,b\,c\,d^3\,i^2\,n+2820\,A\,B\,a^2\,b^2\,c^2\,d^2\,i^2\,n-9180\,A\,B\,a\,b^3\,c^3\,d\,i^2\,n+4320\,A\,B\,b^4\,c^4\,i^2\,n+1489\,B^2\,a^4\,d^4\,i^2\,n^2+1489\,B^2\,a^3\,b\,c\,d^3\,i^2\,n^2+1489\,B^2\,a^2\,b^2\,c^2\,d^2\,i^2\,n^2-2511\,B^2\,a\,b^3\,c^3\,d\,i^2\,n^2+864\,B^2\,b^4\,c^4\,i^2\,n^2}{60\,\left(a\,d-b\,c\right)}+\frac{x\,\left(1800\,A^2\,a^3\,b\,d^4\,i^2+1800\,A^2\,a^2\,b^2\,c\,d^3\,i^2-9000\,A^2\,a\,b^3\,c^2\,d^2\,i^2+5400\,A^2\,b^4\,c^3\,d\,i^2+2820\,A\,B\,a^3\,b\,d^4\,i^2\,n+2820\,A\,B\,a^2\,b^2\,c\,d^3\,i^2\,n-4380\,A\,B\,a\,b^3\,c^2\,d^2\,i^2\,n+1620\,A\,B\,b^4\,c^3\,d\,i^2\,n+1489\,B^2\,a^3\,b\,d^4\,i^2\,n^2+1489\,B^2\,a^2\,b^2\,c\,d^3\,i^2\,n^2-911\,B^2\,a\,b^3\,c^2\,d^2\,i^2\,n^2+189\,B^2\,b^4\,c^3\,d\,i^2\,n^2\right)}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(1800\,A^2\,a^2\,b^2\,d^4\,i^2-3600\,A^2\,a\,b^3\,c\,d^3\,i^2+1800\,A^2\,b^4\,c^2\,d^2\,i^2+2820\,A\,B\,a^2\,b^2\,d^4\,i^2\,n-780\,A\,B\,a\,b^3\,c\,d^3\,i^2\,n+120\,A\,B\,b^4\,c^2\,d^2\,i^2\,n+1489\,B^2\,a^2\,b^2\,d^4\,i^2\,n^2+289\,B^2\,a\,b^3\,c\,d^3\,i^2\,n^2-86\,B^2\,b^4\,c^2\,d^2\,i^2\,n^2\right)}{6\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(13\,c\,B^2\,b^4\,d^3\,i^2\,n^2+363\,a\,B^2\,b^3\,d^4\,i^2\,n^2-60\,A\,c\,B\,b^4\,d^3\,i^2\,n+540\,A\,a\,B\,b^3\,d^4\,i^2\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^4\,\left(47\,B^2\,b^4\,d^3\,i^2\,n^2+60\,A\,B\,b^4\,d^3\,i^2\,n\right)}{a\,d-b\,c}}{x\,\left(4500\,a^4\,b^5\,c\,g^6-4500\,a^5\,b^4\,d\,g^6\right)-x^4\,\left(4500\,a^2\,b^7\,d\,g^6-4500\,a\,b^8\,c\,g^6\right)+x^5\,\left(900\,b^9\,c\,g^6-900\,a\,b^8\,d\,g^6\right)+x^2\,\left(9000\,a^3\,b^6\,c\,g^6-9000\,a^4\,b^5\,d\,g^6\right)+x^3\,\left(9000\,a^2\,b^7\,c\,g^6-9000\,a^3\,b^6\,d\,g^6\right)+900\,a^5\,b^4\,c\,g^6-900\,a^6\,b^3\,d\,g^6}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{a\,\left(\frac{B^2\,c\,d\,i^2}{10\,b^2}+\frac{B^2\,a\,d^2\,i^2}{30\,b^3}\right)+x\,\left(b\,\left(\frac{B^2\,c\,d\,i^2}{10\,b^2}+\frac{B^2\,a\,d^2\,i^2}{30\,b^3}\right)+\frac{2\,B^2\,c\,d\,i^2}{5\,b}+\frac{2\,B^2\,a\,d^2\,i^2}{15\,b^2}\right)+\frac{B^2\,c^2\,i^2}{5\,b}+\frac{B^2\,d^2\,i^2\,x^2}{3\,b}}{a^5\,g^6+5\,a^4\,b\,g^6\,x+10\,a^3\,b^2\,g^6\,x^2+10\,a^2\,b^3\,g^6\,x^3+5\,a\,b^4\,g^6\,x^4+b^5\,g^6\,x^5}-\frac{B^2\,d^5\,i^2}{30\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{a\,\left(-\frac{a\,n\,B^2\,d^2\,i^2}{2}+\frac{b\,c\,n\,B^2\,d\,i^2}{2}+A\,a\,B\,d^2\,i^2+3\,A\,b\,c\,B\,d\,i^2\right)+x\,\left(b\,\left(-\frac{a\,n\,B^2\,d^2\,i^2}{2}+\frac{b\,c\,n\,B^2\,d\,i^2}{2}+A\,a\,B\,d^2\,i^2+3\,A\,b\,c\,B\,d\,i^2\right)+4\,A\,B\,a\,b\,d^2\,i^2+12\,A\,B\,b^2\,c\,d\,i^2-2\,B^2\,a\,b\,d^2\,i^2\,n+2\,B^2\,b^2\,c\,d\,i^2\,n\right)+6\,A\,B\,b^2\,c^2\,i^2-B^2\,a^2\,d^2\,i^2\,n+B^2\,b^2\,c^2\,i^2\,n+10\,A\,B\,b^2\,d^2\,i^2\,x^2}{15\,a^5\,b^3\,g^6+75\,a^4\,b^4\,g^6\,x+150\,a^3\,b^5\,g^6\,x^2+150\,a^2\,b^6\,g^6\,x^3+75\,a\,b^7\,g^6\,x^4+15\,b^8\,g^6\,x^5}+\frac{B^2\,d^5\,i^2\,\left(x^3\,\left(b\,\left(b\,\left(b\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{6\,a\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{9\,a\,b^5\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{9\,b^5\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{12\,a\,b^6\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^6\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{d^2}\right)+x\,\left(a\,\left(a\,\left(b\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{6\,a\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{2\,d^2}\right)+b\,\left(a\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+b\,\left(a\,\left(a\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{4\,d^4}\right)+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{d^4}\right)+x^2\,\left(a\,\left(b\,\left(b\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{6\,a\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{9\,a\,b^5\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{9\,b^5\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+b\,\left(a\,\left(b\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{6\,a\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{2\,d^2}\right)+b\,\left(a\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^4\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^5\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+a\,\left(a\,\left(a\,\left(\frac{3\,a\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a\,d-b\,c\right)}{4\,d^2}\right)+\frac{b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2\right)}{2\,d^3}\right)+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(10\,a^3\,d^3-10\,a^2\,b\,c\,d^2+5\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{4\,d^4}\right)+\frac{15\,b^7\,g^6\,n\,x^4\,\left(a\,d-b\,c\right)}{d}+\frac{3\,b^3\,g^6\,n\,\left(a\,d-b\,c\right)\,\left(5\,a^4\,d^4-10\,a^3\,b\,c\,d^3+10\,a^2\,b^2\,c^2\,d^2-5\,a\,b^3\,c^3\,d+b^4\,c^4\right)}{d^5}\right)}{15\,b^3\,g^6\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(15\,a^5\,b^3\,g^6+75\,a^4\,b^4\,g^6\,x+150\,a^3\,b^5\,g^6\,x^2+150\,a^2\,b^6\,g^6\,x^3+75\,a\,b^7\,g^6\,x^4+15\,b^8\,g^6\,x^5\right)}\right)-\frac{B\,d^5\,i^2\,n\,\mathrm{atan}\left(\frac{B\,d^5\,i^2\,n\,\left(60\,A+47\,B\,n\right)\,\left(\frac{a^3\,b^3\,d^3\,g^6-a^2\,b^4\,c\,d^2\,g^6-a\,b^5\,c^2\,d\,g^6+b^6\,c^3\,g^6}{a^2\,b^3\,d^2\,g^6-2\,a\,b^4\,c\,d\,g^6+b^5\,c^2\,g^6}+2\,b\,d\,x\right)\,\left(a^2\,b^3\,d^2\,g^6-2\,a\,b^4\,c\,d\,g^6+b^5\,c^2\,g^6\right)\,1{}\mathrm{i}}{b^3\,g^6\,\left(47\,B^2\,d^5\,i^2\,n^2+60\,A\,B\,d^5\,i^2\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(60\,A+47\,B\,n\right)\,1{}\mathrm{i}}{450\,b^3\,g^6\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((1800*A^2*a^4*d^4*i^2 + 10800*A^2*b^4*c^4*i^2 + 1489*B^2*a^4*d^4*i^2*n^2 + 864*B^2*b^4*c^4*i^2*n^2 - 16200*A^2*a*b^3*c^3*d*i^2 + 1800*A^2*a^3*b*c*d^3*i^2 + 2820*A*B*a^4*d^4*i^2*n + 4320*A*B*b^4*c^4*i^2*n + 1800*A^2*a^2*b^2*c^2*d^2*i^2 + 1489*B^2*a^2*b^2*c^2*d^2*i^2*n^2 - 2511*B^2*a*b^3*c^3*d*i^2*n^2 + 1489*B^2*a^3*b*c*d^3*i^2*n^2 + 2820*A*B*a^2*b^2*c^2*d^2*i^2*n - 9180*A*B*a*b^3*c^3*d*i^2*n + 2820*A*B*a^3*b*c*d^3*i^2*n)/(60*(a*d - b*c)) + (x*(1800*A^2*a^3*b*d^4*i^2 + 5400*A^2*b^4*c^3*d*i^2 - 9000*A^2*a*b^3*c^2*d^2*i^2 + 1800*A^2*a^2*b^2*c*d^3*i^2 + 1489*B^2*a^3*b*d^4*i^2*n^2 + 189*B^2*b^4*c^3*d*i^2*n^2 + 1620*A*B*b^4*c^3*d*i^2*n - 911*B^2*a*b^3*c^2*d^2*i^2*n^2 + 1489*B^2*a^2*b^2*c*d^3*i^2*n^2 + 2820*A*B*a^3*b*d^4*i^2*n - 4380*A*B*a*b^3*c^2*d^2*i^2*n + 2820*A*B*a^2*b^2*c*d^3*i^2*n))/(12*(a*d - b*c)) + (x^2*(1800*A^2*a^2*b^2*d^4*i^2 + 1800*A^2*b^4*c^2*d^2*i^2 - 3600*A^2*a*b^3*c*d^3*i^2 + 1489*B^2*a^2*b^2*d^4*i^2*n^2 - 86*B^2*b^4*c^2*d^2*i^2*n^2 + 2820*A*B*a^2*b^2*d^4*i^2*n + 120*A*B*b^4*c^2*d^2*i^2*n + 289*B^2*a*b^3*c*d^3*i^2*n^2 - 780*A*B*a*b^3*c*d^3*i^2*n))/(6*(a*d - b*c)) + (x^3*(363*B^2*a*b^3*d^4*i^2*n^2 + 13*B^2*b^4*c*d^3*i^2*n^2 - 60*A*B*b^4*c*d^3*i^2*n + 540*A*B*a*b^3*d^4*i^2*n))/(2*(a*d - b*c)) + (d*x^4*(47*B^2*b^4*d^3*i^2*n^2 + 60*A*B*b^4*d^3*i^2*n))/(a*d - b*c))/(x*(4500*a^4*b^5*c*g^6 - 4500*a^5*b^4*d*g^6) - x^4*(4500*a^2*b^7*d*g^6 - 4500*a*b^8*c*g^6) + x^5*(900*b^9*c*g^6 - 900*a*b^8*d*g^6) + x^2*(9000*a^3*b^6*c*g^6 - 9000*a^4*b^5*d*g^6) + x^3*(9000*a^2*b^7*c*g^6 - 9000*a^3*b^6*d*g^6) + 900*a^5*b^4*c*g^6 - 900*a^6*b^3*d*g^6) - log(e*((a + b*x)/(c + d*x))^n)^2*((a*((B^2*c*d*i^2)/(10*b^2) + (B^2*a*d^2*i^2)/(30*b^3)) + x*(b*((B^2*c*d*i^2)/(10*b^2) + (B^2*a*d^2*i^2)/(30*b^3)) + (2*B^2*c*d*i^2)/(5*b) + (2*B^2*a*d^2*i^2)/(15*b^2)) + (B^2*c^2*i^2)/(5*b) + (B^2*d^2*i^2*x^2)/(3*b))/(a^5*g^6 + b^5*g^6*x^5 + 5*a*b^4*g^6*x^4 + 10*a^3*b^2*g^6*x^2 + 10*a^2*b^3*g^6*x^3 + 5*a^4*b*g^6*x) - (B^2*d^5*i^2)/(30*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - log(e*((a + b*x)/(c + d*x))^n)*((a*(A*B*a*d^2*i^2 - (B^2*a*d^2*i^2*n)/2 + (B^2*b*c*d*i^2*n)/2 + 3*A*B*b*c*d*i^2) + x*(b*(A*B*a*d^2*i^2 - (B^2*a*d^2*i^2*n)/2 + (B^2*b*c*d*i^2*n)/2 + 3*A*B*b*c*d*i^2) + 4*A*B*a*b*d^2*i^2 + 12*A*B*b^2*c*d*i^2 - 2*B^2*a*b*d^2*i^2*n + 2*B^2*b^2*c*d*i^2*n) + 6*A*B*b^2*c^2*i^2 - B^2*a^2*d^2*i^2*n + B^2*b^2*c^2*i^2*n + 10*A*B*b^2*d^2*i^2*x^2)/(15*a^5*b^3*g^6 + 15*b^8*g^6*x^5 + 75*a^4*b^4*g^6*x + 75*a*b^7*g^6*x^4 + 150*a^3*b^5*g^6*x^2 + 150*a^2*b^6*g^6*x^3) + (B^2*d^5*i^2*(x^3*(b*(b*(b*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (6*a*b^4*g^6*n*(a*d - b*c))/d + (3*b^4*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(2*d^2)) + (9*a*b^5*g^6*n*(a*d - b*c))/d + (9*b^5*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (12*a*b^6*g^6*n*(a*d - b*c))/d + (3*b^6*g^6*n*(a*d - b*c)*(5*a*d - b*c))/d^2) + x*(a*(a*(b*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (6*a*b^4*g^6*n*(a*d - b*c))/d + (3*b^4*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(2*d^2)) + b*(a*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (b^3*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + (3*b^4*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + b*(a*(a*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (b^3*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + (3*b^3*g^6*n*(a*d - b*c)*(10*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2))/(4*d^4)) + (3*b^4*g^6*n*(a*d - b*c)*(10*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2))/d^4) + x^2*(a*(b*(b*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (6*a*b^4*g^6*n*(a*d - b*c))/d + (3*b^4*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(2*d^2)) + (9*a*b^5*g^6*n*(a*d - b*c))/d + (9*b^5*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + b*(a*(b*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (6*a*b^4*g^6*n*(a*d - b*c))/d + (3*b^4*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(2*d^2)) + b*(a*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (b^3*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + (3*b^4*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + (3*b^5*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/d^3) + a*(a*(a*((3*a*b^3*g^6*n*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a*d - b*c))/(4*d^2)) + (b^3*g^6*n*(a*d - b*c)*(10*a^2*d^2 + b^2*c^2 - 5*a*b*c*d))/(2*d^3)) + (3*b^3*g^6*n*(a*d - b*c)*(10*a^3*d^3 - b^3*c^3 + 5*a*b^2*c^2*d - 10*a^2*b*c*d^2))/(4*d^4)) + (15*b^7*g^6*n*x^4*(a*d - b*c))/d + (3*b^3*g^6*n*(a*d - b*c)*(5*a^4*d^4 + b^4*c^4 + 10*a^2*b^2*c^2*d^2 - 5*a*b^3*c^3*d - 10*a^3*b*c*d^3))/d^5))/(15*b^3*g^6*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(15*a^5*b^3*g^6 + 15*b^8*g^6*x^5 + 75*a^4*b^4*g^6*x + 75*a*b^7*g^6*x^4 + 150*a^3*b^5*g^6*x^2 + 150*a^2*b^6*g^6*x^3))) - (B*d^5*i^2*n*atan((B*d^5*i^2*n*(60*A + 47*B*n)*((b^6*c^3*g^6 + a^3*b^3*d^3*g^6 - a*b^5*c^2*d*g^6 - a^2*b^4*c*d^2*g^6)/(b^5*c^2*g^6 + a^2*b^3*d^2*g^6 - 2*a*b^4*c*d*g^6) + 2*b*d*x)*(b^5*c^2*g^6 + a^2*b^3*d^2*g^6 - 2*a*b^4*c*d*g^6)*1i)/(b^3*g^6*(47*B^2*d^5*i^2*n^2 + 60*A*B*d^5*i^2*n)*(a*d - b*c)^3))*(60*A + 47*B*n)*1i)/(450*b^3*g^6*(a*d - b*c)^3)","B"
178,0,-1,1172,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
179,0,-1,976,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
180,0,-1,786,0.000000,"\text{Not used}","int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
181,0,-1,454,0.000000,"\text{Not used}","int((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
182,0,-1,762,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x), x)","F"
183,0,-1,739,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^2, x)","F"
184,0,-1,644,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^3,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^3} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^3, x)","F"
185,0,-1,561,0.000000,"\text{Not used}","int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^4,x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^4} \,d x","Not used",1,"int(((c*i + d*i*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^4, x)","F"
186,0,-1,768,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x), x)","F"
187,0,-1,573,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x), x)","F"
188,0,-1,303,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x),x)","\int \frac{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x), x)","F"
189,0,-1,137,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*i + d*i*x),x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{c\,i+d\,i\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*i + d*i*x), x)","F"
190,1,122,50,5.680382,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)*(c*i + d*i*x)),x)","-\frac{\frac{B^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3}+A\,B\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2}{g\,i\,n\,\left(a\,d-b\,c\right)}+\frac{A^2\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{g\,i\,\left(a\,d-b\,c\right)}","Not used",1,"(A^2*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(g*i*(a*d - b*c)) - ((B^2*log(e*((a + b*x)/(c + d*x))^n)^3)/3 + A*B*log(e*((a + b*x)/(c + d*x))^n)^2)/(g*i*n*(a*d - b*c))","B"
191,1,361,199,5.851814,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^2*(c*i + d*i*x)),x)","{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{\left(a\,d-b\,c\right)\,\left(a\,g^2\,i+b\,g^2\,i\,x\right)}-\frac{B\,d\,\left(A+B\,n\right)}{g^2\,i\,n\,{\left(a\,d-b\,c\right)}^2}\right)+\frac{A^2+2\,A\,B\,n+2\,B^2\,n^2}{\left(a\,d-b\,c\right)\,\left(a\,g^2\,i+b\,g^2\,i\,x\right)}+\frac{2\,B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(A+B\,n\right)}{\left(a\,d-b\,c\right)\,\left(a\,g^2\,i+b\,g^2\,i\,x\right)}-\frac{B^2\,d\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g^2\,i\,n\,{\left(a\,d-b\,c\right)}^2}+\frac{d\,\mathrm{atan}\left(\frac{d\,\left(2\,b\,d\,x+\frac{a^2\,d^2\,g^2\,i-b^2\,c^2\,g^2\,i}{g^2\,i\,\left(a\,d-b\,c\right)}\right)\,\left(A^2+2\,A\,B\,n+2\,B^2\,n^2\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(d\,A^2+2\,d\,A\,B\,n+2\,d\,B^2\,n^2\right)}\right)\,\left(A^2+2\,A\,B\,n+2\,B^2\,n^2\right)\,2{}\mathrm{i}}{g^2\,i\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/((a*d - b*c)*(a*g^2*i + b*g^2*i*x)) - (B*d*(A + B*n))/(g^2*i*n*(a*d - b*c)^2)) + (A^2 + 2*B^2*n^2 + 2*A*B*n)/((a*d - b*c)*(a*g^2*i + b*g^2*i*x)) + (2*B*log(e*((a + b*x)/(c + d*x))^n)*(A + B*n))/((a*d - b*c)*(a*g^2*i + b*g^2*i*x)) + (d*atan((d*(2*b*d*x + (a^2*d^2*g^2*i - b^2*c^2*g^2*i)/(g^2*i*(a*d - b*c)))*(A^2 + 2*B^2*n^2 + 2*A*B*n)*1i)/((a*d - b*c)*(A^2*d + 2*B^2*d*n^2 + 2*A*B*d*n)))*(A^2 + 2*B^2*n^2 + 2*A*B*n)*2i)/(g^2*i*(a*d - b*c)^2) - (B^2*d*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g^2*i*n*(a*d - b*c)^2)","B"
192,1,1011,369,8.488895,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^3*(c*i + d*i*x)),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B^2\,n}{x^2\,\left(b^3\,c\,g^3\,i-a\,b^2\,d\,g^3\,i\right)+x\,\left(2\,a\,b^2\,c\,g^3\,i-2\,a^2\,b\,d\,g^3\,i\right)-a^3\,d\,g^3\,i+a^2\,b\,c\,g^3\,i}-\frac{d^2\,\left(3\,n\,B^2+2\,A\,B\right)\,\left(\frac{a\,g^3\,i\,n\,{\left(a\,d-b\,c\right)}^2}{2\,d}+\frac{g^3\,i\,n\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a\,d-b\,c\right)}{2\,d^2}+\frac{b\,g^3\,i\,n\,x\,{\left(a\,d-b\,c\right)}^2}{d}\right)}{g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(x^2\,\left(b^3\,c\,g^3\,i-a\,b^2\,d\,g^3\,i\right)+x\,\left(2\,a\,b^2\,c\,g^3\,i-2\,a^2\,b\,d\,g^3\,i\right)-a^3\,d\,g^3\,i+a^2\,b\,c\,g^3\,i\right)}\right)-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{d^2\,\left(3\,n\,B^2+2\,A\,B\right)}{2\,g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{B^2\,d^2\,\left(\frac{g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,g^3\,i\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b\,g^3\,i\,n\,x\,\left(a\,d-b\,c\right)}{d}\right)}{g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(i\,a^2\,g^3+2\,i\,a\,b\,g^3\,x+i\,b^2\,g^3\,x^2\right)}\right)-\frac{\frac{6\,A^2\,a\,d-2\,A^2\,b\,c+15\,B^2\,a\,d\,n^2-B^2\,b\,c\,n^2+14\,A\,B\,a\,d\,n-2\,A\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(2\,b\,d\,A^2+6\,b\,d\,A\,B\,n+7\,b\,d\,B^2\,n^2\right)}{a\,d-b\,c}}{x^2\,\left(2\,b^3\,c\,g^3\,i-2\,a\,b^2\,d\,g^3\,i\right)+x\,\left(4\,a\,b^2\,c\,g^3\,i-4\,a^2\,b\,d\,g^3\,i\right)-2\,a^3\,d\,g^3\,i+2\,a^2\,b\,c\,g^3\,i}-\frac{B^2\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g^3\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{d^2\,\mathrm{atan}\left(\frac{d^2\,\left(\frac{i\,a^3\,d^3\,g^3-i\,a^2\,b\,c\,d^2\,g^3-i\,a\,b^2\,c^2\,d\,g^3+i\,b^3\,c^3\,g^3}{i\,a^2\,d^2\,g^3-2\,i\,a\,b\,c\,d\,g^3+i\,b^2\,c^2\,g^3}+2\,b\,d\,x\right)\,\left(A^2+3\,A\,B\,n+\frac{7\,B^2\,n^2}{2}\right)\,\left(i\,a^2\,d^2\,g^3-2\,i\,a\,b\,c\,d\,g^3+i\,b^2\,c^2\,g^3\right)\,2{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,d^2+6\,A\,B\,d^2\,n+7\,B^2\,d^2\,n^2\right)}\right)\,\left(A^2+3\,A\,B\,n+\frac{7\,B^2\,n^2}{2}\right)\,2{}\mathrm{i}}{g^3\,i\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((B^2*n)/(x^2*(b^3*c*g^3*i - a*b^2*d*g^3*i) + x*(2*a*b^2*c*g^3*i - 2*a^2*b*d*g^3*i) - a^3*d*g^3*i + a^2*b*c*g^3*i) - (d^2*(3*B^2*n + 2*A*B)*((a*g^3*i*n*(a*d - b*c)^2)/(2*d) + (g^3*i*n*(a*d - b*c)^2*(2*a*d - b*c))/(2*d^2) + (b*g^3*i*n*x*(a*d - b*c)^2)/d))/(g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(x^2*(b^3*c*g^3*i - a*b^2*d*g^3*i) + x*(2*a*b^2*c*g^3*i - 2*a^2*b*d*g^3*i) - a^3*d*g^3*i + a^2*b*c*g^3*i))) - log(e*((a + b*x)/(c + d*x))^n)^2*((d^2*(3*B^2*n + 2*A*B))/(2*g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (B^2*d^2*((g^3*i*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2) + (a*g^3*i*n*(a*d - b*c))/(2*d) + (b*g^3*i*n*x*(a*d - b*c))/d))/(g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*g^3*i + b^2*g^3*i*x^2 + 2*a*b*g^3*i*x))) - ((6*A^2*a*d - 2*A^2*b*c + 15*B^2*a*d*n^2 - B^2*b*c*n^2 + 14*A*B*a*d*n - 2*A*B*b*c*n)/(2*(a*d - b*c)) + (x*(2*A^2*b*d + 7*B^2*b*d*n^2 + 6*A*B*b*d*n))/(a*d - b*c))/(x^2*(2*b^3*c*g^3*i - 2*a*b^2*d*g^3*i) + x*(4*a*b^2*c*g^3*i - 4*a^2*b*d*g^3*i) - 2*a^3*d*g^3*i + 2*a^2*b*c*g^3*i) + (d^2*atan((d^2*((a^3*d^3*g^3*i + b^3*c^3*g^3*i - a*b^2*c^2*d*g^3*i - a^2*b*c*d^2*g^3*i)/(a^2*d^2*g^3*i + b^2*c^2*g^3*i - 2*a*b*c*d*g^3*i) + 2*b*d*x)*(A^2 + (7*B^2*n^2)/2 + 3*A*B*n)*(a^2*d^2*g^3*i + b^2*c^2*g^3*i - 2*a*b*c*d*g^3*i)*2i)/(g^3*i*(a*d - b*c)^3*(2*A^2*d^2 + 7*B^2*d^2*n^2 + 6*A*B*d^2*n)))*(A^2 + (7*B^2*n^2)/2 + 3*A*B*n)*2i)/(g^3*i*(a*d - b*c)^3) - (B^2*d^2*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g^3*i*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
193,1,1921,543,10.341524,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^4*(c*i + d*i*x)),x)","\frac{\frac{198\,A^2\,a^2\,d^2-126\,A^2\,a\,b\,c\,d+36\,A^2\,b^2\,c^2+510\,A\,B\,a^2\,d^2\,n-138\,A\,B\,a\,b\,c\,d\,n+24\,A\,B\,b^2\,c^2\,n+575\,B^2\,a^2\,d^2\,n^2-73\,B^2\,a\,b\,c\,d\,n^2+8\,B^2\,b^2\,c^2\,n^2}{6\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(18\,A^2\,b^2\,d^2+66\,A\,B\,b^2\,d^2\,n+85\,B^2\,b^2\,d^2\,n^2\right)}{a\,d-b\,c}+\frac{x\,\left(-18\,c\,A^2\,b^2\,d+90\,a\,A^2\,b\,d^2-30\,c\,A\,B\,b^2\,d\,n+294\,a\,A\,B\,b\,d^2\,n-19\,c\,B^2\,b^2\,d\,n^2+359\,a\,B^2\,b\,d^2\,n^2\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(54\,i\,a^4\,b\,d^2\,g^4-108\,i\,a^3\,b^2\,c\,d\,g^4+54\,i\,a^2\,b^3\,c^2\,g^4\right)+x^2\,\left(54\,i\,a^3\,b^2\,d^2\,g^4-108\,i\,a^2\,b^3\,c\,d\,g^4+54\,i\,a\,b^4\,c^2\,g^4\right)+x^3\,\left(18\,i\,a^2\,b^3\,d^2\,g^4-36\,i\,a\,b^4\,c\,d\,g^4+18\,i\,b^5\,c^2\,g^4\right)+18\,a^5\,d^2\,g^4\,i+18\,a^3\,b^2\,c^2\,g^4\,i-36\,a^4\,b\,c\,d\,g^4\,i}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{d^3\,\left(11\,n\,B^2+6\,A\,B\right)}{6\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}-\frac{B^2\,d^3\,\left(x\,\left(b\,\left(\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+\frac{2\,a\,b\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}+\frac{b\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{3\,d^2}\right)+a\,\left(\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,g^4\,i\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+\frac{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}+\frac{b^2\,g^4\,i\,n\,x^2\,\left(a\,d-b\,c\right)}{d}\right)}{g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(i\,a^3\,g^4+3\,i\,a^2\,b\,g^4\,x+3\,i\,a\,b^2\,g^4\,x^2+i\,b^3\,g^4\,x^3\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{6\,B^2\,a\,d\,n-3\,B^2\,b\,c\,n+3\,B^2\,b\,d\,n\,x}{x\,\left(9\,i\,a^4\,b\,d^2\,g^4-18\,i\,a^3\,b^2\,c\,d\,g^4+9\,i\,a^2\,b^3\,c^2\,g^4\right)+x^2\,\left(9\,i\,a^3\,b^2\,d^2\,g^4-18\,i\,a^2\,b^3\,c\,d\,g^4+9\,i\,a\,b^4\,c^2\,g^4\right)+x^3\,\left(3\,i\,a^2\,b^3\,d^2\,g^4-6\,i\,a\,b^4\,c\,d\,g^4+3\,i\,b^5\,c^2\,g^4\right)+3\,a^5\,d^2\,g^4\,i+3\,a^3\,b^2\,c^2\,g^4\,i-6\,a^4\,b\,c\,d\,g^4\,i}-\frac{d^3\,\left(11\,n\,B^2+6\,A\,B\right)\,\left(x\,\left(b\,\left(\frac{a\,g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{2\,a\,b\,g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{b\,g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3\,\left(3\,a\,d-b\,c\right)}{d^2}\right)+a\,\left(\frac{a\,g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{g^4\,i\,n\,{\left(a\,d-b\,c\right)}^3\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}+\frac{3\,b^2\,g^4\,i\,n\,x^2\,{\left(a\,d-b\,c\right)}^3}{d}\right)}{3\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)\,\left(x\,\left(9\,i\,a^4\,b\,d^2\,g^4-18\,i\,a^3\,b^2\,c\,d\,g^4+9\,i\,a^2\,b^3\,c^2\,g^4\right)+x^2\,\left(9\,i\,a^3\,b^2\,d^2\,g^4-18\,i\,a^2\,b^3\,c\,d\,g^4+9\,i\,a\,b^4\,c^2\,g^4\right)+x^3\,\left(3\,i\,a^2\,b^3\,d^2\,g^4-6\,i\,a\,b^4\,c\,d\,g^4+3\,i\,b^5\,c^2\,g^4\right)+3\,a^5\,d^2\,g^4\,i+3\,a^3\,b^2\,c^2\,g^4\,i-6\,a^4\,b\,c\,d\,g^4\,i\right)}\right)-\frac{B^2\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g^4\,i\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3\right)}+\frac{d^3\,\mathrm{atan}\left(\frac{d^3\,\left(A^2+\frac{11\,A\,B\,n}{3}+\frac{85\,B^2\,n^2}{18}\right)\,\left(18\,i\,a^4\,d^4\,g^4-36\,i\,a^3\,b\,c\,d^3\,g^4+36\,i\,a\,b^3\,c^3\,d\,g^4-18\,i\,b^4\,c^4\,g^4\right)\,1{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,\left(18\,A^2\,d^3+66\,A\,B\,d^3\,n+85\,B^2\,d^3\,n^2\right)}+\frac{b\,d^4\,x\,\left(A^2+\frac{11\,A\,B\,n}{3}+\frac{85\,B^2\,n^2}{18}\right)\,\left(i\,a^3\,d^3\,g^4-3\,i\,a^2\,b\,c\,d^2\,g^4+3\,i\,a\,b^2\,c^2\,d\,g^4-i\,b^3\,c^3\,g^4\right)\,36{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4\,\left(18\,A^2\,d^3+66\,A\,B\,d^3\,n+85\,B^2\,d^3\,n^2\right)}\right)\,\left(A^2+\frac{11\,A\,B\,n}{3}+\frac{85\,B^2\,n^2}{18}\right)\,2{}\mathrm{i}}{g^4\,i\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"((198*A^2*a^2*d^2 + 36*A^2*b^2*c^2 + 575*B^2*a^2*d^2*n^2 + 8*B^2*b^2*c^2*n^2 - 126*A^2*a*b*c*d + 510*A*B*a^2*d^2*n + 24*A*B*b^2*c^2*n - 73*B^2*a*b*c*d*n^2 - 138*A*B*a*b*c*d*n)/(6*(a*d - b*c)) + (x^2*(18*A^2*b^2*d^2 + 85*B^2*b^2*d^2*n^2 + 66*A*B*b^2*d^2*n))/(a*d - b*c) + (x*(90*A^2*a*b*d^2 - 18*A^2*b^2*c*d + 359*B^2*a*b*d^2*n^2 - 19*B^2*b^2*c*d*n^2 + 294*A*B*a*b*d^2*n - 30*A*B*b^2*c*d*n))/(2*(a*d - b*c)))/(x*(54*a^4*b*d^2*g^4*i + 54*a^2*b^3*c^2*g^4*i - 108*a^3*b^2*c*d*g^4*i) + x^2*(54*a*b^4*c^2*g^4*i + 54*a^3*b^2*d^2*g^4*i - 108*a^2*b^3*c*d*g^4*i) + x^3*(18*b^5*c^2*g^4*i + 18*a^2*b^3*d^2*g^4*i - 36*a*b^4*c*d*g^4*i) + 18*a^5*d^2*g^4*i + 18*a^3*b^2*c^2*g^4*i - 36*a^4*b*c*d*g^4*i) - log(e*((a + b*x)/(c + d*x))^n)^2*((d^3*(11*B^2*n + 6*A*B))/(6*g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B^2*d^3*(x*(b*((g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*g^4*i*n*(a*d - b*c))/(3*d)) + (2*a*b*g^4*i*n*(a*d - b*c))/(3*d) + (b*g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(3*d^2)) + a*((g^4*i*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*g^4*i*n*(a*d - b*c))/(3*d)) + (g^4*i*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/(3*d^3) + (b^2*g^4*i*n*x^2*(a*d - b*c))/d))/(g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^3*g^4*i + b^3*g^4*i*x^3 + 3*a^2*b*g^4*i*x + 3*a*b^2*g^4*i*x^2))) - log(e*((a + b*x)/(c + d*x))^n)*((6*B^2*a*d*n - 3*B^2*b*c*n + 3*B^2*b*d*n*x)/(x*(9*a^4*b*d^2*g^4*i + 9*a^2*b^3*c^2*g^4*i - 18*a^3*b^2*c*d*g^4*i) + x^2*(9*a*b^4*c^2*g^4*i + 9*a^3*b^2*d^2*g^4*i - 18*a^2*b^3*c*d*g^4*i) + x^3*(3*b^5*c^2*g^4*i + 3*a^2*b^3*d^2*g^4*i - 6*a*b^4*c*d*g^4*i) + 3*a^5*d^2*g^4*i + 3*a^3*b^2*c^2*g^4*i - 6*a^4*b*c*d*g^4*i) - (d^3*(11*B^2*n + 6*A*B)*(x*(b*((a*g^4*i*n*(a*d - b*c)^3)/d + (g^4*i*n*(a*d - b*c)^3*(3*a*d - b*c))/(2*d^2)) + (2*a*b*g^4*i*n*(a*d - b*c)^3)/d + (b*g^4*i*n*(a*d - b*c)^3*(3*a*d - b*c))/d^2) + a*((a*g^4*i*n*(a*d - b*c)^3)/d + (g^4*i*n*(a*d - b*c)^3*(3*a*d - b*c))/(2*d^2)) + (g^4*i*n*(a*d - b*c)^3*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3 + (3*b^2*g^4*i*n*x^2*(a*d - b*c)^3)/d))/(3*g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(x*(9*a^4*b*d^2*g^4*i + 9*a^2*b^3*c^2*g^4*i - 18*a^3*b^2*c*d*g^4*i) + x^2*(9*a*b^4*c^2*g^4*i + 9*a^3*b^2*d^2*g^4*i - 18*a^2*b^3*c*d*g^4*i) + x^3*(3*b^5*c^2*g^4*i + 3*a^2*b^3*d^2*g^4*i - 6*a*b^4*c*d*g^4*i) + 3*a^5*d^2*g^4*i + 3*a^3*b^2*c^2*g^4*i - 6*a^4*b*c*d*g^4*i))) + (d^3*atan((d^3*(A^2 + (85*B^2*n^2)/18 + (11*A*B*n)/3)*(18*a^4*d^4*g^4*i - 18*b^4*c^4*g^4*i + 36*a*b^3*c^3*d*g^4*i - 36*a^3*b*c*d^3*g^4*i)*1i)/(g^4*i*(a*d - b*c)^4*(18*A^2*d^3 + 85*B^2*d^3*n^2 + 66*A*B*d^3*n)) + (b*d^4*x*(A^2 + (85*B^2*n^2)/18 + (11*A*B*n)/3)*(a^3*d^3*g^4*i - b^3*c^3*g^4*i + 3*a*b^2*c^2*d*g^4*i - 3*a^2*b*c*d^2*g^4*i)*36i)/(g^4*i*(a*d - b*c)^4*(18*A^2*d^3 + 85*B^2*d^3*n^2 + 66*A*B*d^3*n)))*(A^2 + (85*B^2*n^2)/18 + (11*A*B*n)/3)*2i)/(g^4*i*(a*d - b*c)^4) - (B^2*d^3*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g^4*i*n*(a*d - b*c)*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))","B"
194,0,-1,770,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2, x)","F"
195,0,-1,500,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2, x)","F"
196,0,-1,282,0.000000,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2,x)","\int \frac{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^2, x)","F"
197,1,237,163,6.267799,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*i + d*i*x)^2,x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{2\,B^2\,n}{x\,d^2\,i^2+c\,d\,i^2}-\frac{2\,A\,B}{x\,d^2\,i^2+c\,d\,i^2}\right)-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{d\,\left(c\,i^2+d\,i^2\,x\right)}+\frac{B^2\,b}{d\,i^2\,\left(a\,d-b\,c\right)}\right)-\frac{A^2-2\,A\,B\,n+2\,B^2\,n^2}{x\,d^2\,i^2+c\,d\,i^2}+\frac{B\,b\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{a\,d^2\,i^2+b\,c\,d\,i^2}{d\,i^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-B\,n\right)\,4{}\mathrm{i}}{d\,i^2\,\left(a\,d-b\,c\right)}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((2*B^2*n)/(d^2*i^2*x + c*d*i^2) - (2*A*B)/(d^2*i^2*x + c*d*i^2)) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(d*(c*i^2 + d*i^2*x)) + (B^2*b)/(d*i^2*(a*d - b*c))) - (A^2 + 2*B^2*n^2 - 2*A*B*n)/(d^2*i^2*x + c*d*i^2) + (B*b*n*atan(((2*b*d*x + (a*d^2*i^2 + b*c*d*i^2)/(d*i^2))*1i)/(a*d - b*c))*(A - B*n)*4i)/(d*i^2*(a*d - b*c))","B"
198,1,365,231,5.798072,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)*(c*i + d*i*x)^2),x)","\frac{B^2\,b\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g\,i^2\,n\,{\left(a\,d-b\,c\right)}^2}-\frac{A^2-2\,A\,B\,n+2\,B^2\,n^2}{\left(a\,d-b\,c\right)\,\left(c\,g\,i^2+d\,g\,i^2\,x\right)}-\frac{2\,B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(A-B\,n\right)}{\left(a\,d-b\,c\right)\,\left(c\,g\,i^2+d\,g\,i^2\,x\right)}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{\left(a\,d-b\,c\right)\,\left(c\,g\,i^2+d\,g\,i^2\,x\right)}-\frac{B\,b\,\left(A-B\,n\right)}{g\,i^2\,n\,{\left(a\,d-b\,c\right)}^2}\right)-\frac{b\,\mathrm{atan}\left(\frac{b\,\left(2\,b\,d\,x+\frac{a^2\,d^2\,g\,i^2-b^2\,c^2\,g\,i^2}{g\,i^2\,\left(a\,d-b\,c\right)}\right)\,\left(A^2-2\,A\,B\,n+2\,B^2\,n^2\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(b\,A^2-2\,b\,A\,B\,n+2\,b\,B^2\,n^2\right)}\right)\,\left(A^2-2\,A\,B\,n+2\,B^2\,n^2\right)\,2{}\mathrm{i}}{g\,i^2\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(B^2*b*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g*i^2*n*(a*d - b*c)^2) - (A^2 + 2*B^2*n^2 - 2*A*B*n)/((a*d - b*c)*(c*g*i^2 + d*g*i^2*x)) - (2*B*log(e*((a + b*x)/(c + d*x))^n)*(A - B*n))/((a*d - b*c)*(c*g*i^2 + d*g*i^2*x)) - (b*atan((b*(2*b*d*x + (a^2*d^2*g*i^2 - b^2*c^2*g*i^2)/(g*i^2*(a*d - b*c)))*(A^2 + 2*B^2*n^2 - 2*A*B*n)*1i)/((a*d - b*c)*(A^2*b + 2*B^2*b*n^2 - 2*A*B*b*n)))*(A^2 + 2*B^2*n^2 - 2*A*B*n)*2i)/(g*i^2*(a*d - b*c)^2) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/((a*d - b*c)*(c*g*i^2 + d*g*i^2*x)) - (B*b*(A - B*n))/(g*i^2*n*(a*d - b*c)^2))","B"
199,0,-1,392,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^2*(c*i + d*i*x)^2),x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^2\,{\left(c\,i+d\,i\,x\right)}^2} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^2*(c*i + d*i*x)^2), x)","F"
200,1,1784,560,10.277582,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^3*(c*i + d*i*x)^2),x)","\frac{B^2\,b\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,\left(2\,a\,d+b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B^2\,b\,d\,x}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(d\,a^2\,g^3\,i^2+2\,b\,c\,a\,g^3\,i^2\right)+x^2\,\left(c\,b^2\,g^3\,i^2+2\,a\,d\,b\,g^3\,i^2\right)+a^2\,c\,g^3\,i^2+b^2\,d\,g^3\,i^2\,x^3}-\frac{3\,B\,b\,d^2\,\left(2\,A+B\,n\right)}{2\,g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}+\frac{3\,B^2\,b\,d^2\,\left(b\,g^3\,i^2\,n\,x^2\,\left(a\,d-b\,c\right)+\frac{a\,c\,g^3\,i^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{g^3\,i^2\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)}{g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(d\,a^2\,g^3\,i^2+2\,b\,c\,a\,g^3\,i^2\right)+x^2\,\left(c\,b^2\,g^3\,i^2+2\,a\,d\,b\,g^3\,i^2\right)+a^2\,c\,g^3\,i^2+b^2\,d\,g^3\,i^2\,x^3\right)}\right)-\frac{\frac{4\,A^2\,a^2\,d^2+10\,A^2\,a\,b\,c\,d-2\,A^2\,b^2\,c^2-8\,A\,B\,a^2\,d^2\,n+22\,A\,B\,a\,b\,c\,d\,n-2\,A\,B\,b^2\,c^2\,n+8\,B^2\,a^2\,d^2\,n^2+23\,B^2\,a\,b\,c\,d\,n^2-B^2\,b^2\,c^2\,n^2}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A^2\,b^2\,d^2+2\,A\,B\,b^2\,d^2\,n+5\,B^2\,b^2\,d^2\,n^2\right)}{a\,d-b\,c}+\frac{3\,x\,\left(2\,c\,A^2\,b^2\,d+6\,a\,A^2\,b\,d^2+6\,c\,A\,B\,b^2\,d\,n+2\,a\,A\,B\,b\,d^2\,n+7\,c\,B^2\,b^2\,d\,n^2+13\,a\,B^2\,b\,d^2\,n^2\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(2\,a^4\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c^2\,d\,g^3\,i^2+4\,a\,b^3\,c^3\,g^3\,i^2\right)+x^2\,\left(4\,a^3\,b\,d^3\,g^3\,i^2-6\,a^2\,b^2\,c\,d^2\,g^3\,i^2+2\,b^4\,c^3\,g^3\,i^2\right)+x^3\,\left(2\,a^2\,b^2\,d^3\,g^3\,i^2-4\,a\,b^3\,c\,d^2\,g^3\,i^2+2\,b^4\,c^2\,d\,g^3\,i^2\right)+2\,a^2\,b^2\,c^3\,g^3\,i^2+2\,a^4\,c\,d^2\,g^3\,i^2-4\,a^3\,b\,c^2\,d\,g^3\,i^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{\frac{B^2\,b\,c\,n}{2}-2\,B^2\,a\,d\,n-x\,\left(\frac{3\,B^2\,b\,d\,n}{2}-3\,A\,B\,b\,d\right)+2\,A\,B\,a\,d+A\,B\,b\,c}{x\,\left(a^4\,d^3\,g^3\,i^2-3\,a^2\,b^2\,c^2\,d\,g^3\,i^2+2\,a\,b^3\,c^3\,g^3\,i^2\right)+x^2\,\left(2\,a^3\,b\,d^3\,g^3\,i^2-3\,a^2\,b^2\,c\,d^2\,g^3\,i^2+b^4\,c^3\,g^3\,i^2\right)+x^3\,\left(a^2\,b^2\,d^3\,g^3\,i^2-2\,a\,b^3\,c\,d^2\,g^3\,i^2+b^4\,c^2\,d\,g^3\,i^2\right)+a^2\,b^2\,c^3\,g^3\,i^2+a^4\,c\,d^2\,g^3\,i^2-2\,a^3\,b\,c^2\,d\,g^3\,i^2}+\frac{3\,B\,b\,d^2\,\left(2\,A+B\,n\right)\,\left(b\,g^3\,i^2\,n\,x^2\,{\left(a\,d-b\,c\right)}^3+\frac{g^3\,i^2\,n\,x\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{a\,c\,g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)}{g^3\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(a^4\,d^3\,g^3\,i^2-3\,a^2\,b^2\,c^2\,d\,g^3\,i^2+2\,a\,b^3\,c^3\,g^3\,i^2\right)+x^2\,\left(2\,a^3\,b\,d^3\,g^3\,i^2-3\,a^2\,b^2\,c\,d^2\,g^3\,i^2+b^4\,c^3\,g^3\,i^2\right)+x^3\,\left(a^2\,b^2\,d^3\,g^3\,i^2-2\,a\,b^3\,c\,d^2\,g^3\,i^2+b^4\,c^2\,d\,g^3\,i^2\right)+a^2\,b^2\,c^3\,g^3\,i^2+a^4\,c\,d^2\,g^3\,i^2-2\,a^3\,b\,c^2\,d\,g^3\,i^2\right)}\right)-\frac{b\,d^2\,\mathrm{atan}\left(\frac{b\,d^2\,\left(2\,A^2+2\,A\,B\,n+5\,B^2\,n^2\right)\,\left(2\,a^4\,d^4\,g^3\,i^2-4\,a^3\,b\,c\,d^3\,g^3\,i^2+4\,a\,b^3\,c^3\,d\,g^3\,i^2-2\,b^4\,c^4\,g^3\,i^2\right)\,3{}\mathrm{i}}{2\,g^3\,i^2\,{\left(a\,d-b\,c\right)}^4\,\left(6\,b\,A^2\,d^2+6\,b\,A\,B\,d^2\,n+15\,b\,B^2\,d^2\,n^2\right)}+\frac{b^2\,d^3\,x\,\left(2\,A^2+2\,A\,B\,n+5\,B^2\,n^2\right)\,\left(a^3\,d^3\,g^3\,i^2-3\,a^2\,b\,c\,d^2\,g^3\,i^2+3\,a\,b^2\,c^2\,d\,g^3\,i^2-b^3\,c^3\,g^3\,i^2\right)\,6{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4\,\left(6\,b\,A^2\,d^2+6\,b\,A\,B\,d^2\,n+15\,b\,B^2\,d^2\,n^2\right)}\right)\,\left(2\,A^2+2\,A\,B\,n+5\,B^2\,n^2\right)\,3{}\mathrm{i}}{g^3\,i^2\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B^2*b*d^2*log(e*((a + b*x)/(c + d*x))^n)^3)/(g^3*i^2*n*(a*d - b*c)^4) - log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*(2*a*d + b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B^2*b*d*x)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(a^2*d*g^3*i^2 + 2*a*b*c*g^3*i^2) + x^2*(b^2*c*g^3*i^2 + 2*a*b*d*g^3*i^2) + a^2*c*g^3*i^2 + b^2*d*g^3*i^2*x^3) - (3*B*b*d^2*(2*A + B*n))/(2*g^3*i^2*n*(a*d - b*c)^4) + (3*B^2*b*d^2*(b*g^3*i^2*n*x^2*(a*d - b*c) + (a*c*g^3*i^2*n*(a*d - b*c))/d + (g^3*i^2*n*x*(a*d + b*c)*(a*d - b*c))/d))/(g^3*i^2*n*(a*d - b*c)^4*(x*(a^2*d*g^3*i^2 + 2*a*b*c*g^3*i^2) + x^2*(b^2*c*g^3*i^2 + 2*a*b*d*g^3*i^2) + a^2*c*g^3*i^2 + b^2*d*g^3*i^2*x^3))) - ((4*A^2*a^2*d^2 - 2*A^2*b^2*c^2 + 8*B^2*a^2*d^2*n^2 - B^2*b^2*c^2*n^2 + 10*A^2*a*b*c*d - 8*A*B*a^2*d^2*n - 2*A*B*b^2*c^2*n + 23*B^2*a*b*c*d*n^2 + 22*A*B*a*b*c*d*n)/(2*(a*d - b*c)) + (3*x^2*(2*A^2*b^2*d^2 + 5*B^2*b^2*d^2*n^2 + 2*A*B*b^2*d^2*n))/(a*d - b*c) + (3*x*(6*A^2*a*b*d^2 + 2*A^2*b^2*c*d + 13*B^2*a*b*d^2*n^2 + 7*B^2*b^2*c*d*n^2 + 2*A*B*a*b*d^2*n + 6*A*B*b^2*c*d*n))/(2*(a*d - b*c)))/(x*(2*a^4*d^3*g^3*i^2 + 4*a*b^3*c^3*g^3*i^2 - 6*a^2*b^2*c^2*d*g^3*i^2) + x^2*(2*b^4*c^3*g^3*i^2 + 4*a^3*b*d^3*g^3*i^2 - 6*a^2*b^2*c*d^2*g^3*i^2) + x^3*(2*a^2*b^2*d^3*g^3*i^2 + 2*b^4*c^2*d*g^3*i^2 - 4*a*b^3*c*d^2*g^3*i^2) + 2*a^2*b^2*c^3*g^3*i^2 + 2*a^4*c*d^2*g^3*i^2 - 4*a^3*b*c^2*d*g^3*i^2) - (b*d^2*atan((b*d^2*(2*A^2 + 5*B^2*n^2 + 2*A*B*n)*(2*a^4*d^4*g^3*i^2 - 2*b^4*c^4*g^3*i^2 + 4*a*b^3*c^3*d*g^3*i^2 - 4*a^3*b*c*d^3*g^3*i^2)*3i)/(2*g^3*i^2*(a*d - b*c)^4*(6*A^2*b*d^2 + 15*B^2*b*d^2*n^2 + 6*A*B*b*d^2*n)) + (b^2*d^3*x*(2*A^2 + 5*B^2*n^2 + 2*A*B*n)*(a^3*d^3*g^3*i^2 - b^3*c^3*g^3*i^2 + 3*a*b^2*c^2*d*g^3*i^2 - 3*a^2*b*c*d^2*g^3*i^2)*6i)/(g^3*i^2*(a*d - b*c)^4*(6*A^2*b*d^2 + 15*B^2*b*d^2*n^2 + 6*A*B*b*d^2*n)))*(2*A^2 + 5*B^2*n^2 + 2*A*B*n)*3i)/(g^3*i^2*(a*d - b*c)^4) - log(e*((a + b*x)/(c + d*x))^n)*(((B^2*b*c*n)/2 - 2*B^2*a*d*n - x*((3*B^2*b*d*n)/2 - 3*A*B*b*d) + 2*A*B*a*d + A*B*b*c)/(x*(a^4*d^3*g^3*i^2 + 2*a*b^3*c^3*g^3*i^2 - 3*a^2*b^2*c^2*d*g^3*i^2) + x^2*(b^4*c^3*g^3*i^2 + 2*a^3*b*d^3*g^3*i^2 - 3*a^2*b^2*c*d^2*g^3*i^2) + x^3*(a^2*b^2*d^3*g^3*i^2 + b^4*c^2*d*g^3*i^2 - 2*a*b^3*c*d^2*g^3*i^2) + a^2*b^2*c^3*g^3*i^2 + a^4*c*d^2*g^3*i^2 - 2*a^3*b*c^2*d*g^3*i^2) + (3*B*b*d^2*(2*A + B*n)*(b*g^3*i^2*n*x^2*(a*d - b*c)^3 + (g^3*i^2*n*x*(a*d + b*c)*(a*d - b*c)^3)/d + (a*c*g^3*i^2*n*(a*d - b*c)^3)/d))/(g^3*i^2*n*(a*d - b*c)^4*(x*(a^4*d^3*g^3*i^2 + 2*a*b^3*c^3*g^3*i^2 - 3*a^2*b^2*c^2*d*g^3*i^2) + x^2*(b^4*c^3*g^3*i^2 + 2*a^3*b*d^3*g^3*i^2 - 3*a^2*b^2*c*d^2*g^3*i^2) + x^3*(a^2*b^2*d^3*g^3*i^2 + b^4*c^2*d*g^3*i^2 - 2*a*b^3*c*d^2*g^3*i^2) + a^2*b^2*c^3*g^3*i^2 + a^4*c*d^2*g^3*i^2 - 2*a^3*b*c^2*d*g^3*i^2)))","B"
201,1,3157,729,11.670301,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^4*(c*i + d*i*x)^2),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{x\,\left(8\,A\,B\,b^2\,c\,d-8\,A\,B\,a\,b\,d^2+12\,B^2\,b\,d\,n\,\left(a\,d+b\,c\right)+\frac{16\,B^2\,a\,b\,d^2\,n}{3}-\frac{16\,B^2\,b^2\,c\,d\,n}{3}\right)-6\,A\,B\,a^2\,d^2+2\,A\,B\,b^2\,c^2+6\,B^2\,a^2\,d^2\,n+\frac{2\,B^2\,b^2\,c^2\,n}{3}+12\,B^2\,b^2\,d^2\,n\,x^2+4\,A\,B\,a\,b\,c\,d+\frac{16\,B^2\,a\,b\,c\,d\,n}{3}}{x\,\left(3\,a^6\,d^4\,g^4\,i^2-18\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+24\,a^3\,b^3\,c^3\,d\,g^4\,i^2-9\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-9\,a^5\,b\,d^4\,g^4\,i^2+18\,a^4\,b^2\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^3\,d\,g^4\,i^2+9\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-9\,a^4\,b^2\,d^4\,g^4\,i^2+24\,a^3\,b^3\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+3\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(3\,a^3\,b^3\,d^4\,g^4\,i^2-9\,a^2\,b^4\,c\,d^3\,g^4\,i^2+9\,a\,b^5\,c^2\,d^2\,g^4\,i^2-3\,b^6\,c^3\,d\,g^4\,i^2\right)-3\,a^3\,b^3\,c^4\,g^4\,i^2+3\,a^6\,c\,d^3\,g^4\,i^2+9\,a^4\,b^2\,c^3\,d\,g^4\,i^2-9\,a^5\,b\,c^2\,d^2\,g^4\,i^2}-\frac{4\,d^3\,\left(5\,b\,n\,B^2+6\,A\,b\,B\right)\,\left(x\,\left(\left(a\,d+b\,c\right)\,\left(\frac{3\,a\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}{2\,d}+\frac{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,a\,b\,c\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}{d}\right)+x^2\,\left(b\,d\,\left(\frac{3\,a\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}{2\,d}+\frac{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{3\,b\,g^4\,i^2\,n\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^4}{d}\right)+a\,c\,\left(\frac{3\,a\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4}{2\,d}+\frac{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^4\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+3\,b^2\,g^4\,i^2\,n\,x^3\,{\left(a\,d-b\,c\right)}^4\right)}{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(x\,\left(3\,a^6\,d^4\,g^4\,i^2-18\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+24\,a^3\,b^3\,c^3\,d\,g^4\,i^2-9\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-9\,a^5\,b\,d^4\,g^4\,i^2+18\,a^4\,b^2\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^3\,d\,g^4\,i^2+9\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-9\,a^4\,b^2\,d^4\,g^4\,i^2+24\,a^3\,b^3\,c\,d^3\,g^4\,i^2-18\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+3\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(3\,a^3\,b^3\,d^4\,g^4\,i^2-9\,a^2\,b^4\,c\,d^3\,g^4\,i^2+9\,a\,b^5\,c^2\,d^2\,g^4\,i^2-3\,b^6\,c^3\,d\,g^4\,i^2\right)-3\,a^3\,b^3\,c^4\,g^4\,i^2+3\,a^6\,c\,d^3\,g^4\,i^2+9\,a^4\,b^2\,c^3\,d\,g^4\,i^2-9\,a^5\,b\,c^2\,d^2\,g^4\,i^2\right)}\right)-\frac{\frac{27\,A^2\,a^3\,d^3+117\,A^2\,a^2\,b\,c\,d^2-45\,A^2\,a\,b^2\,c^2\,d+9\,A^2\,b^3\,c^3-54\,A\,B\,a^3\,d^3\,n+276\,A\,B\,a^2\,b\,c\,d^2\,n-48\,A\,B\,a\,b^2\,c^2\,d\,n+6\,A\,B\,b^3\,c^3\,n+54\,B^2\,a^3\,d^3\,n^2+299\,B^2\,a^2\,b\,c\,d^2\,n^2-25\,B^2\,a\,b^2\,c^2\,d\,n^2+2\,B^2\,b^3\,c^3\,n^2}{3\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(18\,c\,A^2\,b^3\,d^2+90\,a\,A^2\,b^2\,d^3+66\,c\,A\,B\,b^3\,d^2\,n+114\,a\,A\,B\,b^2\,d^3\,n+85\,c\,B^2\,b^3\,d^2\,n^2+245\,a\,B^2\,b^2\,d^3\,n^2\right)}{a\,d-b\,c}+\frac{2\,x^3\,\left(18\,A^2\,b^3\,d^3+30\,A\,B\,b^3\,d^3\,n+55\,B^2\,b^3\,d^3\,n^2\right)}{a\,d-b\,c}+\frac{x\,\left(198\,A^2\,a^2\,b\,d^3+144\,A^2\,a\,b^2\,c\,d^2-18\,A^2\,b^3\,c^2\,d+114\,A\,B\,a^2\,b\,d^3\,n+456\,A\,B\,a\,b^2\,c\,d^2\,n-30\,A\,B\,b^3\,c^2\,d\,n+461\,B^2\,a^2\,b\,d^3\,n^2+548\,B^2\,a\,b^2\,c\,d^2\,n^2-19\,B^2\,b^3\,c^2\,d\,n^2\right)}{3\,\left(a\,d-b\,c\right)}}{x\,\left(9\,a^6\,d^4\,g^4\,i^2-54\,a^4\,b^2\,c^2\,d^2\,g^4\,i^2+72\,a^3\,b^3\,c^3\,d\,g^4\,i^2-27\,a^2\,b^4\,c^4\,g^4\,i^2\right)-x^2\,\left(-27\,a^5\,b\,d^4\,g^4\,i^2+54\,a^4\,b^2\,c\,d^3\,g^4\,i^2-54\,a^2\,b^4\,c^3\,d\,g^4\,i^2+27\,a\,b^5\,c^4\,g^4\,i^2\right)-x^3\,\left(-27\,a^4\,b^2\,d^4\,g^4\,i^2+72\,a^3\,b^3\,c\,d^3\,g^4\,i^2-54\,a^2\,b^4\,c^2\,d^2\,g^4\,i^2+9\,b^6\,c^4\,g^4\,i^2\right)+x^4\,\left(9\,a^3\,b^3\,d^4\,g^4\,i^2-27\,a^2\,b^4\,c\,d^3\,g^4\,i^2+27\,a\,b^5\,c^2\,d^2\,g^4\,i^2-9\,b^6\,c^3\,d\,g^4\,i^2\right)-9\,a^3\,b^3\,c^4\,g^4\,i^2+9\,a^6\,c\,d^3\,g^4\,i^2+27\,a^4\,b^2\,c^3\,d\,g^4\,i^2-27\,a^5\,b\,c^2\,d^2\,g^4\,i^2}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,\left(3\,a\,d+b\,c\right)}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B^2\,b\,d\,x}{3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x^3\,\left(c\,b^3\,g^4\,i^2+3\,a\,d\,b^2\,g^4\,i^2\right)+x^2\,\left(3\,d\,a^2\,b\,g^4\,i^2+3\,c\,a\,b^2\,g^4\,i^2\right)+x\,\left(d\,a^3\,g^4\,i^2+3\,b\,c\,a^2\,g^4\,i^2\right)+a^3\,c\,g^4\,i^2+b^3\,d\,g^4\,i^2\,x^4}-\frac{2\,d^3\,\left(5\,b\,n\,B^2+6\,A\,b\,B\right)}{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{4\,B^2\,b\,d^3\,\left(x\,\left(\left(a\,d+b\,c\right)\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{a\,b\,c\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{d}\right)+x^2\,\left(b\,d\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b\,g^4\,i^2\,n\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)+a\,c\,\left(\frac{a\,g^4\,i^2\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{g^4\,i^2\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}\right)+b^2\,g^4\,i^2\,n\,x^3\,\left(a\,d-b\,c\right)\right)}{g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(x^3\,\left(c\,b^3\,g^4\,i^2+3\,a\,d\,b^2\,g^4\,i^2\right)+x^2\,\left(3\,d\,a^2\,b\,g^4\,i^2+3\,c\,a\,b^2\,g^4\,i^2\right)+x\,\left(d\,a^3\,g^4\,i^2+3\,b\,c\,a^2\,g^4\,i^2\right)+a^3\,c\,g^4\,i^2+b^3\,d\,g^4\,i^2\,x^4\right)}\right)+\frac{4\,B^2\,b\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g^4\,i^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{b\,d^3\,\mathrm{atan}\left(\frac{b\,d^3\,\left(18\,A^2+30\,A\,B\,n+55\,B^2\,n^2\right)\,\left(9\,a^5\,d^5\,g^4\,i^2-27\,a^4\,b\,c\,d^4\,g^4\,i^2+18\,a^3\,b^2\,c^2\,d^3\,g^4\,i^2+18\,a^2\,b^3\,c^3\,d^2\,g^4\,i^2-27\,a\,b^4\,c^4\,d\,g^4\,i^2+9\,b^5\,c^5\,g^4\,i^2\right)\,2{}\mathrm{i}}{9\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5\,\left(36\,b\,A^2\,d^3+60\,b\,A\,B\,d^3\,n+110\,b\,B^2\,d^3\,n^2\right)}+\frac{b^2\,d^4\,x\,\left(18\,A^2+30\,A\,B\,n+55\,B^2\,n^2\right)\,\left(a^4\,d^4\,g^4\,i^2-4\,a^3\,b\,c\,d^3\,g^4\,i^2+6\,a^2\,b^2\,c^2\,d^2\,g^4\,i^2-4\,a\,b^3\,c^3\,d\,g^4\,i^2+b^4\,c^4\,g^4\,i^2\right)\,4{}\mathrm{i}}{g^4\,i^2\,{\left(a\,d-b\,c\right)}^5\,\left(36\,b\,A^2\,d^3+60\,b\,A\,B\,d^3\,n+110\,b\,B^2\,d^3\,n^2\right)}\right)\,\left(18\,A^2+30\,A\,B\,n+55\,B^2\,n^2\right)\,4{}\mathrm{i}}{9\,g^4\,i^2\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((x*(8*A*B*b^2*c*d - 8*A*B*a*b*d^2 + 12*B^2*b*d*n*(a*d + b*c) + (16*B^2*a*b*d^2*n)/3 - (16*B^2*b^2*c*d*n)/3) - 6*A*B*a^2*d^2 + 2*A*B*b^2*c^2 + 6*B^2*a^2*d^2*n + (2*B^2*b^2*c^2*n)/3 + 12*B^2*b^2*d^2*n*x^2 + 4*A*B*a*b*c*d + (16*B^2*a*b*c*d*n)/3)/(x*(3*a^6*d^4*g^4*i^2 - 9*a^2*b^4*c^4*g^4*i^2 + 24*a^3*b^3*c^3*d*g^4*i^2 - 18*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(9*a*b^5*c^4*g^4*i^2 - 9*a^5*b*d^4*g^4*i^2 - 18*a^2*b^4*c^3*d*g^4*i^2 + 18*a^4*b^2*c*d^3*g^4*i^2) - x^3*(3*b^6*c^4*g^4*i^2 - 9*a^4*b^2*d^4*g^4*i^2 + 24*a^3*b^3*c*d^3*g^4*i^2 - 18*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(3*a^3*b^3*d^4*g^4*i^2 - 3*b^6*c^3*d*g^4*i^2 + 9*a*b^5*c^2*d^2*g^4*i^2 - 9*a^2*b^4*c*d^3*g^4*i^2) - 3*a^3*b^3*c^4*g^4*i^2 + 3*a^6*c*d^3*g^4*i^2 + 9*a^4*b^2*c^3*d*g^4*i^2 - 9*a^5*b*c^2*d^2*g^4*i^2) - (4*d^3*(6*A*B*b + 5*B^2*b*n)*(x*((a*d + b*c)*((3*a*g^4*i^2*n*(a*d - b*c)^4)/(2*d) + (3*g^4*i^2*n*(a*d - b*c)^4*(2*a*d - b*c))/(2*d^2)) + (3*a*b*c*g^4*i^2*n*(a*d - b*c)^4)/d) + x^2*(b*d*((3*a*g^4*i^2*n*(a*d - b*c)^4)/(2*d) + (3*g^4*i^2*n*(a*d - b*c)^4*(2*a*d - b*c))/(2*d^2)) + (3*b*g^4*i^2*n*(a*d + b*c)*(a*d - b*c)^4)/d) + a*c*((3*a*g^4*i^2*n*(a*d - b*c)^4)/(2*d) + (3*g^4*i^2*n*(a*d - b*c)^4*(2*a*d - b*c))/(2*d^2)) + 3*b^2*g^4*i^2*n*x^3*(a*d - b*c)^4))/(3*g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(x*(3*a^6*d^4*g^4*i^2 - 9*a^2*b^4*c^4*g^4*i^2 + 24*a^3*b^3*c^3*d*g^4*i^2 - 18*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(9*a*b^5*c^4*g^4*i^2 - 9*a^5*b*d^4*g^4*i^2 - 18*a^2*b^4*c^3*d*g^4*i^2 + 18*a^4*b^2*c*d^3*g^4*i^2) - x^3*(3*b^6*c^4*g^4*i^2 - 9*a^4*b^2*d^4*g^4*i^2 + 24*a^3*b^3*c*d^3*g^4*i^2 - 18*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(3*a^3*b^3*d^4*g^4*i^2 - 3*b^6*c^3*d*g^4*i^2 + 9*a*b^5*c^2*d^2*g^4*i^2 - 9*a^2*b^4*c*d^3*g^4*i^2) - 3*a^3*b^3*c^4*g^4*i^2 + 3*a^6*c*d^3*g^4*i^2 + 9*a^4*b^2*c^3*d*g^4*i^2 - 9*a^5*b*c^2*d^2*g^4*i^2))) - ((27*A^2*a^3*d^3 + 9*A^2*b^3*c^3 + 54*B^2*a^3*d^3*n^2 + 2*B^2*b^3*c^3*n^2 - 45*A^2*a*b^2*c^2*d + 117*A^2*a^2*b*c*d^2 - 54*A*B*a^3*d^3*n + 6*A*B*b^3*c^3*n - 25*B^2*a*b^2*c^2*d*n^2 + 299*B^2*a^2*b*c*d^2*n^2 - 48*A*B*a*b^2*c^2*d*n + 276*A*B*a^2*b*c*d^2*n)/(3*(a*d - b*c)) + (x^2*(90*A^2*a*b^2*d^3 + 18*A^2*b^3*c*d^2 + 245*B^2*a*b^2*d^3*n^2 + 85*B^2*b^3*c*d^2*n^2 + 114*A*B*a*b^2*d^3*n + 66*A*B*b^3*c*d^2*n))/(a*d - b*c) + (2*x^3*(18*A^2*b^3*d^3 + 55*B^2*b^3*d^3*n^2 + 30*A*B*b^3*d^3*n))/(a*d - b*c) + (x*(198*A^2*a^2*b*d^3 - 18*A^2*b^3*c^2*d + 144*A^2*a*b^2*c*d^2 + 461*B^2*a^2*b*d^3*n^2 - 19*B^2*b^3*c^2*d*n^2 + 548*B^2*a*b^2*c*d^2*n^2 + 114*A*B*a^2*b*d^3*n - 30*A*B*b^3*c^2*d*n + 456*A*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)))/(x*(9*a^6*d^4*g^4*i^2 - 27*a^2*b^4*c^4*g^4*i^2 + 72*a^3*b^3*c^3*d*g^4*i^2 - 54*a^4*b^2*c^2*d^2*g^4*i^2) - x^2*(27*a*b^5*c^4*g^4*i^2 - 27*a^5*b*d^4*g^4*i^2 - 54*a^2*b^4*c^3*d*g^4*i^2 + 54*a^4*b^2*c*d^3*g^4*i^2) - x^3*(9*b^6*c^4*g^4*i^2 - 27*a^4*b^2*d^4*g^4*i^2 + 72*a^3*b^3*c*d^3*g^4*i^2 - 54*a^2*b^4*c^2*d^2*g^4*i^2) + x^4*(9*a^3*b^3*d^4*g^4*i^2 - 9*b^6*c^3*d*g^4*i^2 + 27*a*b^5*c^2*d^2*g^4*i^2 - 27*a^2*b^4*c*d^3*g^4*i^2) - 9*a^3*b^3*c^4*g^4*i^2 + 9*a^6*c*d^3*g^4*i^2 + 27*a^4*b^2*c^3*d*g^4*i^2 - 27*a^5*b*c^2*d^2*g^4*i^2) - log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*(3*a*d + b*c))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B^2*b*d*x)/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x^3*(b^3*c*g^4*i^2 + 3*a*b^2*d*g^4*i^2) + x^2*(3*a*b^2*c*g^4*i^2 + 3*a^2*b*d*g^4*i^2) + x*(a^3*d*g^4*i^2 + 3*a^2*b*c*g^4*i^2) + a^3*c*g^4*i^2 + b^3*d*g^4*i^2*x^4) - (2*d^3*(6*A*B*b + 5*B^2*b*n))/(3*g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (4*B^2*b*d^3*(x*((a*d + b*c)*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + (a*b*c*g^4*i^2*n*(a*d - b*c))/d) + x^2*(b*d*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + (b*g^4*i^2*n*(a*d + b*c)*(a*d - b*c))/d) + a*c*((a*g^4*i^2*n*(a*d - b*c))/(2*d) + (g^4*i^2*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2)) + b^2*g^4*i^2*n*x^3*(a*d - b*c)))/(g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(x^3*(b^3*c*g^4*i^2 + 3*a*b^2*d*g^4*i^2) + x^2*(3*a*b^2*c*g^4*i^2 + 3*a^2*b*d*g^4*i^2) + x*(a^3*d*g^4*i^2 + 3*a^2*b*c*g^4*i^2) + a^3*c*g^4*i^2 + b^3*d*g^4*i^2*x^4))) - (b*d^3*atan((b*d^3*(18*A^2 + 55*B^2*n^2 + 30*A*B*n)*(9*a^5*d^5*g^4*i^2 + 9*b^5*c^5*g^4*i^2 - 27*a*b^4*c^4*d*g^4*i^2 - 27*a^4*b*c*d^4*g^4*i^2 + 18*a^2*b^3*c^3*d^2*g^4*i^2 + 18*a^3*b^2*c^2*d^3*g^4*i^2)*2i)/(9*g^4*i^2*(a*d - b*c)^5*(36*A^2*b*d^3 + 110*B^2*b*d^3*n^2 + 60*A*B*b*d^3*n)) + (b^2*d^4*x*(18*A^2 + 55*B^2*n^2 + 30*A*B*n)*(a^4*d^4*g^4*i^2 + b^4*c^4*g^4*i^2 - 4*a*b^3*c^3*d*g^4*i^2 - 4*a^3*b*c*d^3*g^4*i^2 + 6*a^2*b^2*c^2*d^2*g^4*i^2)*4i)/(g^4*i^2*(a*d - b*c)^5*(36*A^2*b*d^3 + 110*B^2*b*d^3*n^2 + 60*A*B*b*d^3*n)))*(18*A^2 + 55*B^2*n^2 + 30*A*B*n)*4i)/(9*g^4*i^2*(a*d - b*c)^5) + (4*B^2*b*d^3*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g^4*i^2*n*(a*d - b*c)^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
202,0,-1,676,0.000000,"\text{Not used}","int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^3, x)","F"
203,0,-1,441,0.000000,"\text{Not used}","int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^3,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^3} \,d x","Not used",1,"int(((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^3, x)","F"
204,1,565,151,7.495992,"\text{Not used}","int(((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^3,x)","-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,a\,g}{2\,d}+\frac{B^2\,b\,g\,x}{d}+\frac{B^2\,b\,c\,g}{2\,d^2}}{c^2\,i^3+2\,c\,d\,i^3\,x+d^2\,i^3\,x^2}+\frac{B^2\,b^2\,g}{2\,d^2\,i^3\,\left(a\,d-b\,c\right)}\right)-\frac{x\,\left(2\,b\,d\,g\,A^2-2\,b\,d\,g\,A\,B\,n+b\,d\,g\,B^2\,n^2\right)+A^2\,a\,d\,g+A^2\,b\,c\,g+\frac{B^2\,a\,d\,g\,n^2}{2}+\frac{B^2\,b\,c\,g\,n^2}{2}-A\,B\,a\,d\,g\,n-A\,B\,b\,c\,g\,n}{2\,c^2\,d^2\,i^3+4\,c\,d^3\,i^3\,x+2\,d^4\,i^3\,x^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B\,a\,d\,g+A\,B\,b\,c\,g-B^2\,a\,d\,g\,n+B^2\,b\,c\,g\,n+2\,A\,B\,b\,d\,g\,x}{c^2\,d^2\,i^3+2\,c\,d^3\,i^3\,x+d^4\,i^3\,x^2}-\frac{B^2\,b^2\,g\,\left(\frac{c\,d^2\,i^3\,n\,\left(a\,d-b\,c\right)}{2\,b}+\frac{d^3\,i^3\,n\,x\,\left(a\,d-b\,c\right)}{b}-\frac{d^2\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{2\,b^2}\right)}{d^2\,i^3\,\left(a\,d-b\,c\right)\,\left(c^2\,d^2\,i^3+2\,c\,d^3\,i^3\,x+d^4\,i^3\,x^2\right)}\right)-\frac{B\,b^2\,g\,n\,\mathrm{atan}\left(\frac{B\,b^2\,g\,n\,\left(2\,A-B\,n\right)\,\left(\frac{a\,d^3\,i^3+b\,c\,d^2\,i^3}{d^2\,i^3}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(B^2\,b^2\,g\,n^2-2\,A\,B\,b^2\,g\,n\right)}\right)\,\left(2\,A-B\,n\right)\,1{}\mathrm{i}}{d^2\,i^3\,\left(a\,d-b\,c\right)}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*a*g)/(2*d) + (B^2*b*g*x)/d + (B^2*b*c*g)/(2*d^2))/(c^2*i^3 + d^2*i^3*x^2 + 2*c*d*i^3*x) + (B^2*b^2*g)/(2*d^2*i^3*(a*d - b*c))) - (x*(2*A^2*b*d*g + B^2*b*d*g*n^2 - 2*A*B*b*d*g*n) + A^2*a*d*g + A^2*b*c*g + (B^2*a*d*g*n^2)/2 + (B^2*b*c*g*n^2)/2 - A*B*a*d*g*n - A*B*b*c*g*n)/(2*c^2*d^2*i^3 + 2*d^4*i^3*x^2 + 4*c*d^3*i^3*x) - log(e*((a + b*x)/(c + d*x))^n)*((A*B*a*d*g + A*B*b*c*g - B^2*a*d*g*n + B^2*b*c*g*n + 2*A*B*b*d*g*x)/(c^2*d^2*i^3 + d^4*i^3*x^2 + 2*c*d^3*i^3*x) - (B^2*b^2*g*((c*d^2*i^3*n*(a*d - b*c))/(2*b) + (d^3*i^3*n*x*(a*d - b*c))/b - (d^2*i^3*n*(a*d - b*c)*(a*d - 2*b*c))/(2*b^2)))/(d^2*i^3*(a*d - b*c)*(c^2*d^2*i^3 + d^4*i^3*x^2 + 2*c*d^3*i^3*x))) - (B*b^2*g*n*atan((B*b^2*g*n*(2*A - B*n)*((a*d^3*i^3 + b*c*d^2*i^3)/(d^2*i^3) + 2*b*d*x)*1i)/((a*d - b*c)*(B^2*b^2*g*n^2 - 2*A*B*b^2*g*n)))*(2*A - B*n)*1i)/(d^2*i^3*(a*d - b*c))","B"
205,1,505,317,6.669910,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*i + d*i*x)^3,x)","-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{2\,d\,\left(c^2\,i^3+2\,c\,d\,i^3\,x+d^2\,i^3\,x^2\right)}-\frac{B^2\,b^2}{2\,d\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{2\,A^2\,a\,d-2\,A^2\,b\,c+B^2\,a\,d\,n^2-7\,B^2\,b\,c\,n^2-2\,A\,B\,a\,d\,n+6\,A\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}-\frac{b\,x\,\left(3\,B^2\,d\,n^2-2\,A\,B\,d\,n\right)}{a\,d-b\,c}}{2\,c^2\,d\,i^3+4\,c\,d^2\,i^3\,x+2\,d^3\,i^3\,x^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B}{c^2\,d\,i^3+2\,c\,d^2\,i^3\,x+d^3\,i^3\,x^2}+\frac{B^2\,b^2\,\left(\frac{d^2\,i^3\,n\,x\,\left(a\,d-b\,c\right)}{b}-\frac{d\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{2\,b^2}+\frac{c\,d\,i^3\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)}{d\,i^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(c^2\,d\,i^3+2\,c\,d^2\,i^3\,x+d^3\,i^3\,x^2\right)}\right)-\frac{B\,b^2\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{2\,a^2\,d^3\,i^3-2\,b^2\,c^2\,d\,i^3}{2\,d\,i^3\,\left(a\,d-b\,c\right)}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(2\,A-3\,B\,n\right)\,1{}\mathrm{i}}{d\,i^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(2*d*(c^2*i^3 + d^2*i^3*x^2 + 2*c*d*i^3*x)) - (B^2*b^2)/(2*d*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((2*A^2*a*d - 2*A^2*b*c + B^2*a*d*n^2 - 7*B^2*b*c*n^2 - 2*A*B*a*d*n + 6*A*B*b*c*n)/(2*(a*d - b*c)) - (b*x*(3*B^2*d*n^2 - 2*A*B*d*n))/(a*d - b*c))/(2*c^2*d*i^3 + 2*d^3*i^3*x^2 + 4*c*d^2*i^3*x) - log(e*((a + b*x)/(c + d*x))^n)*((A*B)/(c^2*d*i^3 + d^3*i^3*x^2 + 2*c*d^2*i^3*x) + (B^2*b^2*((d^2*i^3*n*x*(a*d - b*c))/b - (d*i^3*n*(a*d - b*c)*(a*d - 2*b*c))/(2*b^2) + (c*d*i^3*n*(a*d - b*c))/(2*b)))/(d*i^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^2*d*i^3 + d^3*i^3*x^2 + 2*c*d^2*i^3*x))) - (B*b^2*n*atan(((2*b*d*x + (2*a^2*d^3*i^3 - 2*b^2*c^2*d*i^3)/(2*d*i^3*(a*d - b*c)))*1i)/(a*d - b*c))*(2*A - 3*B*n)*1i)/(d*i^3*(a*d - b*c)^2)","B"
206,1,1007,402,8.730910,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)*(c*i + d*i*x)^3),x)","{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{b^2\,\left(3\,B^2\,n-2\,A\,B\right)}{2\,g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B^2\,b^2\,\left(\frac{c\,g\,i^3\,n\,\left(a\,d-b\,c\right)}{2\,b}-\frac{g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{2\,b^2}+\frac{d\,g\,i^3\,n\,x\,\left(a\,d-b\,c\right)}{b}\right)}{g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(g\,c^2\,i^3+2\,g\,c\,d\,i^3\,x+g\,d^2\,i^3\,x^2\right)}\right)-\frac{\frac{2\,A^2\,a\,d-6\,A^2\,b\,c+B^2\,a\,d\,n^2-15\,B^2\,b\,c\,n^2-2\,A\,B\,a\,d\,n+14\,A\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}-\frac{x\,\left(2\,b\,d\,A^2-6\,b\,d\,A\,B\,n+7\,b\,d\,B^2\,n^2\right)}{a\,d-b\,c}}{x^2\,\left(2\,a\,d^3\,g\,i^3-2\,b\,c\,d^2\,g\,i^3\right)+x\,\left(4\,a\,c\,d^2\,g\,i^3-4\,b\,c^2\,d\,g\,i^3\right)-2\,b\,c^3\,g\,i^3+2\,a\,c^2\,d\,g\,i^3}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B^2\,n}{x^2\,\left(a\,d^3\,g\,i^3-b\,c\,d^2\,g\,i^3\right)+x\,\left(2\,a\,c\,d^2\,g\,i^3-2\,b\,c^2\,d\,g\,i^3\right)-b\,c^3\,g\,i^3+a\,c^2\,d\,g\,i^3}+\frac{b^2\,\left(3\,B^2\,n-2\,A\,B\right)\,\left(\frac{c\,g\,i^3\,n\,{\left(a\,d-b\,c\right)}^2}{2\,b}-\frac{g\,i^3\,n\,{\left(a\,d-b\,c\right)}^2\,\left(a\,d-2\,b\,c\right)}{2\,b^2}+\frac{d\,g\,i^3\,n\,x\,{\left(a\,d-b\,c\right)}^2}{b}\right)}{g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(x^2\,\left(a\,d^3\,g\,i^3-b\,c\,d^2\,g\,i^3\right)+x\,\left(2\,a\,c\,d^2\,g\,i^3-2\,b\,c^2\,d\,g\,i^3\right)-b\,c^3\,g\,i^3+a\,c^2\,d\,g\,i^3\right)}\right)-\frac{B^2\,b^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g\,i^3\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{b^2\,\mathrm{atan}\left(\frac{b^2\,\left(\frac{g\,a^3\,d^3\,i^3-g\,a^2\,b\,c\,d^2\,i^3-g\,a\,b^2\,c^2\,d\,i^3+g\,b^3\,c^3\,i^3}{g\,a^2\,d^2\,i^3-2\,g\,a\,b\,c\,d\,i^3+g\,b^2\,c^2\,i^3}+2\,b\,d\,x\right)\,\left(A^2-3\,A\,B\,n+\frac{7\,B^2\,n^2}{2}\right)\,\left(g\,a^2\,d^2\,i^3-2\,g\,a\,b\,c\,d\,i^3+g\,b^2\,c^2\,i^3\right)\,2{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3\,\left(2\,A^2\,b^2-6\,A\,B\,b^2\,n+7\,B^2\,b^2\,n^2\right)}\right)\,\left(A^2-3\,A\,B\,n+\frac{7\,B^2\,n^2}{2}\right)\,2{}\mathrm{i}}{g\,i^3\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)^2*((b^2*(3*B^2*n - 2*A*B))/(2*g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B^2*b^2*((c*g*i^3*n*(a*d - b*c))/(2*b) - (g*i^3*n*(a*d - b*c)*(a*d - 2*b*c))/(2*b^2) + (d*g*i^3*n*x*(a*d - b*c))/b))/(g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^2*g*i^3 + d^2*g*i^3*x^2 + 2*c*d*g*i^3*x))) - ((2*A^2*a*d - 6*A^2*b*c + B^2*a*d*n^2 - 15*B^2*b*c*n^2 - 2*A*B*a*d*n + 14*A*B*b*c*n)/(2*(a*d - b*c)) - (x*(2*A^2*b*d + 7*B^2*b*d*n^2 - 6*A*B*b*d*n))/(a*d - b*c))/(x^2*(2*a*d^3*g*i^3 - 2*b*c*d^2*g*i^3) + x*(4*a*c*d^2*g*i^3 - 4*b*c^2*d*g*i^3) - 2*b*c^3*g*i^3 + 2*a*c^2*d*g*i^3) - log(e*((a + b*x)/(c + d*x))^n)*((B^2*n)/(x^2*(a*d^3*g*i^3 - b*c*d^2*g*i^3) + x*(2*a*c*d^2*g*i^3 - 2*b*c^2*d*g*i^3) - b*c^3*g*i^3 + a*c^2*d*g*i^3) + (b^2*(3*B^2*n - 2*A*B)*((c*g*i^3*n*(a*d - b*c)^2)/(2*b) - (g*i^3*n*(a*d - b*c)^2*(a*d - 2*b*c))/(2*b^2) + (d*g*i^3*n*x*(a*d - b*c)^2)/b))/(g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(x^2*(a*d^3*g*i^3 - b*c*d^2*g*i^3) + x*(2*a*c*d^2*g*i^3 - 2*b*c^2*d*g*i^3) - b*c^3*g*i^3 + a*c^2*d*g*i^3))) + (b^2*atan((b^2*((a^3*d^3*g*i^3 + b^3*c^3*g*i^3 - a*b^2*c^2*d*g*i^3 - a^2*b*c*d^2*g*i^3)/(a^2*d^2*g*i^3 + b^2*c^2*g*i^3 - 2*a*b*c*d*g*i^3) + 2*b*d*x)*(A^2 + (7*B^2*n^2)/2 - 3*A*B*n)*(a^2*d^2*g*i^3 + b^2*c^2*g*i^3 - 2*a*b*c*d*g*i^3)*2i)/(g*i^3*(a*d - b*c)^3*(2*A^2*b^2 + 7*B^2*b^2*n^2 - 6*A*B*b^2*n)))*(A^2 + (7*B^2*n^2)/2 - 3*A*B*n)*2i)/(g*i^3*(a*d - b*c)^3) - (B^2*b^2*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g*i^3*n*(a*d - b*c)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))","B"
207,1,1785,562,10.138945,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^2*(c*i + d*i*x)^3),x)","\frac{\frac{-2\,A^2\,a^2\,d^2+10\,A^2\,a\,b\,c\,d+4\,A^2\,b^2\,c^2+2\,A\,B\,a^2\,d^2\,n-22\,A\,B\,a\,b\,c\,d\,n+8\,A\,B\,b^2\,c^2\,n-B^2\,a^2\,d^2\,n^2+23\,B^2\,a\,b\,c\,d\,n^2+8\,B^2\,b^2\,c^2\,n^2}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x^2\,\left(2\,A^2\,b^2\,d^2-2\,A\,B\,b^2\,d^2\,n+5\,B^2\,b^2\,d^2\,n^2\right)}{a\,d-b\,c}+\frac{3\,x\,\left(6\,c\,A^2\,b^2\,d+2\,a\,A^2\,b\,d^2-2\,c\,A\,B\,b^2\,d\,n-6\,a\,A\,B\,b\,d^2\,n+13\,c\,B^2\,b^2\,d\,n^2+7\,a\,B^2\,b\,d^2\,n^2\right)}{2\,\left(a\,d-b\,c\right)}}{x\,\left(4\,a^3\,c\,d^3\,g^2\,i^3-6\,a^2\,b\,c^2\,d^2\,g^2\,i^3+2\,b^3\,c^4\,g^2\,i^3\right)+x^2\,\left(2\,a^3\,d^4\,g^2\,i^3-6\,a\,b^2\,c^2\,d^2\,g^2\,i^3+4\,b^3\,c^3\,d\,g^2\,i^3\right)+x^3\,\left(2\,a^2\,b\,d^4\,g^2\,i^3-4\,a\,b^2\,c\,d^3\,g^2\,i^3+2\,b^3\,c^2\,d^2\,g^2\,i^3\right)+2\,a^3\,c^2\,d^2\,g^2\,i^3+2\,a\,b^2\,c^4\,g^2\,i^3-4\,a^2\,b\,c^3\,d\,g^2\,i^3}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{\frac{B^2\,\left(a\,d+2\,b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B^2\,b\,d\,x}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}}{x\,\left(b\,c^2\,g^2\,i^3+2\,a\,d\,c\,g^2\,i^3\right)+x^2\,\left(a\,d^2\,g^2\,i^3+2\,b\,c\,d\,g^2\,i^3\right)+a\,c^2\,g^2\,i^3+b\,d^2\,g^2\,i^3\,x^3}+\frac{3\,B\,b^2\,d\,\left(2\,A-B\,n\right)}{2\,g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4}-\frac{3\,B^2\,b^2\,d\,\left(d\,g^2\,i^3\,n\,x^2\,\left(a\,d-b\,c\right)+\frac{a\,c\,g^2\,i^3\,n\,\left(a\,d-b\,c\right)}{b}+\frac{g^2\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{b}\right)}{g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(b\,c^2\,g^2\,i^3+2\,a\,d\,c\,g^2\,i^3\right)+x^2\,\left(a\,d^2\,g^2\,i^3+2\,b\,c\,d\,g^2\,i^3\right)+a\,c^2\,g^2\,i^3+b\,d^2\,g^2\,i^3\,x^3\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{x\,\left(\frac{3\,b\,d\,n\,B^2}{2}+3\,A\,b\,d\,B\right)-\frac{B^2\,a\,d\,n}{2}+2\,B^2\,b\,c\,n+A\,B\,a\,d+2\,A\,B\,b\,c}{x\,\left(2\,a^3\,c\,d^3\,g^2\,i^3-3\,a^2\,b\,c^2\,d^2\,g^2\,i^3+b^3\,c^4\,g^2\,i^3\right)+x^2\,\left(a^3\,d^4\,g^2\,i^3-3\,a\,b^2\,c^2\,d^2\,g^2\,i^3+2\,b^3\,c^3\,d\,g^2\,i^3\right)+x^3\,\left(a^2\,b\,d^4\,g^2\,i^3-2\,a\,b^2\,c\,d^3\,g^2\,i^3+b^3\,c^2\,d^2\,g^2\,i^3\right)+a^3\,c^2\,d^2\,g^2\,i^3+a\,b^2\,c^4\,g^2\,i^3-2\,a^2\,b\,c^3\,d\,g^2\,i^3}-\frac{3\,B\,b^2\,d\,\left(2\,A-B\,n\right)\,\left(d\,g^2\,i^3\,n\,x^2\,{\left(a\,d-b\,c\right)}^3+\frac{g^2\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^3}{b}+\frac{a\,c\,g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^3}{b}\right)}{g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4\,\left(x\,\left(2\,a^3\,c\,d^3\,g^2\,i^3-3\,a^2\,b\,c^2\,d^2\,g^2\,i^3+b^3\,c^4\,g^2\,i^3\right)+x^2\,\left(a^3\,d^4\,g^2\,i^3-3\,a\,b^2\,c^2\,d^2\,g^2\,i^3+2\,b^3\,c^3\,d\,g^2\,i^3\right)+x^3\,\left(a^2\,b\,d^4\,g^2\,i^3-2\,a\,b^2\,c\,d^3\,g^2\,i^3+b^3\,c^2\,d^2\,g^2\,i^3\right)+a^3\,c^2\,d^2\,g^2\,i^3+a\,b^2\,c^4\,g^2\,i^3-2\,a^2\,b\,c^3\,d\,g^2\,i^3\right)}\right)-\frac{B^2\,b^2\,d\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{g^2\,i^3\,n\,{\left(a\,d-b\,c\right)}^4}+\frac{b^2\,d\,\mathrm{atan}\left(\frac{b^2\,d\,\left(2\,A^2-2\,A\,B\,n+5\,B^2\,n^2\right)\,\left(2\,a^4\,d^4\,g^2\,i^3-4\,a^3\,b\,c\,d^3\,g^2\,i^3+4\,a\,b^3\,c^3\,d\,g^2\,i^3-2\,b^4\,c^4\,g^2\,i^3\right)\,3{}\mathrm{i}}{2\,g^2\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(6\,d\,A^2\,b^2-6\,d\,A\,B\,b^2\,n+15\,d\,B^2\,b^2\,n^2\right)}+\frac{b^3\,d^2\,x\,\left(2\,A^2-2\,A\,B\,n+5\,B^2\,n^2\right)\,\left(a^3\,d^3\,g^2\,i^3-3\,a^2\,b\,c\,d^2\,g^2\,i^3+3\,a\,b^2\,c^2\,d\,g^2\,i^3-b^3\,c^3\,g^2\,i^3\right)\,6{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4\,\left(6\,d\,A^2\,b^2-6\,d\,A\,B\,b^2\,n+15\,d\,B^2\,b^2\,n^2\right)}\right)\,\left(2\,A^2-2\,A\,B\,n+5\,B^2\,n^2\right)\,3{}\mathrm{i}}{g^2\,i^3\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"((4*A^2*b^2*c^2 - 2*A^2*a^2*d^2 - B^2*a^2*d^2*n^2 + 8*B^2*b^2*c^2*n^2 + 10*A^2*a*b*c*d + 2*A*B*a^2*d^2*n + 8*A*B*b^2*c^2*n + 23*B^2*a*b*c*d*n^2 - 22*A*B*a*b*c*d*n)/(2*(a*d - b*c)) + (3*x^2*(2*A^2*b^2*d^2 + 5*B^2*b^2*d^2*n^2 - 2*A*B*b^2*d^2*n))/(a*d - b*c) + (3*x*(2*A^2*a*b*d^2 + 6*A^2*b^2*c*d + 7*B^2*a*b*d^2*n^2 + 13*B^2*b^2*c*d*n^2 - 6*A*B*a*b*d^2*n - 2*A*B*b^2*c*d*n))/(2*(a*d - b*c)))/(x*(2*b^3*c^4*g^2*i^3 + 4*a^3*c*d^3*g^2*i^3 - 6*a^2*b*c^2*d^2*g^2*i^3) + x^2*(2*a^3*d^4*g^2*i^3 + 4*b^3*c^3*d*g^2*i^3 - 6*a*b^2*c^2*d^2*g^2*i^3) + x^3*(2*b^3*c^2*d^2*g^2*i^3 + 2*a^2*b*d^4*g^2*i^3 - 4*a*b^2*c*d^3*g^2*i^3) + 2*a^3*c^2*d^2*g^2*i^3 + 2*a*b^2*c^4*g^2*i^3 - 4*a^2*b*c^3*d*g^2*i^3) - log(e*((a + b*x)/(c + d*x))^n)^2*(((B^2*(a*d + 2*b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B^2*b*d*x)/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)))/(x*(b*c^2*g^2*i^3 + 2*a*c*d*g^2*i^3) + x^2*(a*d^2*g^2*i^3 + 2*b*c*d*g^2*i^3) + a*c^2*g^2*i^3 + b*d^2*g^2*i^3*x^3) + (3*B*b^2*d*(2*A - B*n))/(2*g^2*i^3*n*(a*d - b*c)^4) - (3*B^2*b^2*d*(d*g^2*i^3*n*x^2*(a*d - b*c) + (a*c*g^2*i^3*n*(a*d - b*c))/b + (g^2*i^3*n*x*(a*d + b*c)*(a*d - b*c))/b))/(g^2*i^3*n*(a*d - b*c)^4*(x*(b*c^2*g^2*i^3 + 2*a*c*d*g^2*i^3) + x^2*(a*d^2*g^2*i^3 + 2*b*c*d*g^2*i^3) + a*c^2*g^2*i^3 + b*d^2*g^2*i^3*x^3))) - log(e*((a + b*x)/(c + d*x))^n)*((x*((3*B^2*b*d*n)/2 + 3*A*B*b*d) - (B^2*a*d*n)/2 + 2*B^2*b*c*n + A*B*a*d + 2*A*B*b*c)/(x*(b^3*c^4*g^2*i^3 + 2*a^3*c*d^3*g^2*i^3 - 3*a^2*b*c^2*d^2*g^2*i^3) + x^2*(a^3*d^4*g^2*i^3 + 2*b^3*c^3*d*g^2*i^3 - 3*a*b^2*c^2*d^2*g^2*i^3) + x^3*(b^3*c^2*d^2*g^2*i^3 + a^2*b*d^4*g^2*i^3 - 2*a*b^2*c*d^3*g^2*i^3) + a^3*c^2*d^2*g^2*i^3 + a*b^2*c^4*g^2*i^3 - 2*a^2*b*c^3*d*g^2*i^3) - (3*B*b^2*d*(2*A - B*n)*(d*g^2*i^3*n*x^2*(a*d - b*c)^3 + (g^2*i^3*n*x*(a*d + b*c)*(a*d - b*c)^3)/b + (a*c*g^2*i^3*n*(a*d - b*c)^3)/b))/(g^2*i^3*n*(a*d - b*c)^4*(x*(b^3*c^4*g^2*i^3 + 2*a^3*c*d^3*g^2*i^3 - 3*a^2*b*c^2*d^2*g^2*i^3) + x^2*(a^3*d^4*g^2*i^3 + 2*b^3*c^3*d*g^2*i^3 - 3*a*b^2*c^2*d^2*g^2*i^3) + x^3*(b^3*c^2*d^2*g^2*i^3 + a^2*b*d^4*g^2*i^3 - 2*a*b^2*c*d^3*g^2*i^3) + a^3*c^2*d^2*g^2*i^3 + a*b^2*c^4*g^2*i^3 - 2*a^2*b*c^3*d*g^2*i^3))) + (b^2*d*atan((b^2*d*(2*A^2 + 5*B^2*n^2 - 2*A*B*n)*(2*a^4*d^4*g^2*i^3 - 2*b^4*c^4*g^2*i^3 + 4*a*b^3*c^3*d*g^2*i^3 - 4*a^3*b*c*d^3*g^2*i^3)*3i)/(2*g^2*i^3*(a*d - b*c)^4*(6*A^2*b^2*d + 15*B^2*b^2*d*n^2 - 6*A*B*b^2*d*n)) + (b^3*d^2*x*(2*A^2 + 5*B^2*n^2 - 2*A*B*n)*(a^3*d^3*g^2*i^3 - b^3*c^3*g^2*i^3 + 3*a*b^2*c^2*d*g^2*i^3 - 3*a^2*b*c*d^2*g^2*i^3)*6i)/(g^2*i^3*(a*d - b*c)^4*(6*A^2*b^2*d + 15*B^2*b^2*d*n^2 - 6*A*B*b^2*d*n)))*(2*A^2 + 5*B^2*n^2 - 2*A*B*n)*3i)/(g^2*i^3*(a*d - b*c)^4) - (B^2*b^2*d*log(e*((a + b*x)/(c + d*x))^n)^3)/(g^2*i^3*n*(a*d - b*c)^4)","B"
208,1,2419,732,11.667213,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^3*(c*i + d*i*x)^3),x)","\frac{\frac{3\,x^2\,\left(6\,c\,A^2\,b^3\,d^2+6\,a\,A^2\,b^2\,d^3+4\,c\,A\,B\,b^3\,d^2\,n-4\,a\,A\,B\,b^2\,d^3\,n+15\,c\,B^2\,b^3\,d^2\,n^2+15\,a\,B^2\,b^2\,d^3\,n^2\right)}{a\,d-b\,c}-\frac{2\,A^2\,a^3\,d^3-14\,A^2\,a^2\,b\,c\,d^2-14\,A^2\,a\,b^2\,c^2\,d+2\,A^2\,b^3\,c^3-2\,A\,B\,a^3\,d^3\,n+30\,A\,B\,a^2\,b\,c\,d^2\,n-30\,A\,B\,a\,b^2\,c^2\,d\,n+2\,A\,B\,b^3\,c^3\,n+B^2\,a^3\,d^3\,n^2-31\,B^2\,a^2\,b\,c\,d^2\,n^2-31\,B^2\,a\,b^2\,c^2\,d\,n^2+B^2\,b^3\,c^3\,n^2}{2\,\left(a\,d-b\,c\right)}+\frac{2\,x\,\left(2\,A^2\,a^2\,b\,d^3+14\,A^2\,a\,b^2\,c\,d^2+2\,A^2\,b^3\,c^2\,d-6\,A\,B\,a^2\,b\,d^3\,n+6\,A\,B\,b^3\,c^2\,d\,n+7\,B^2\,a^2\,b\,d^3\,n^2+31\,B^2\,a\,b^2\,c\,d^2\,n^2+7\,B^2\,b^3\,c^2\,d\,n^2\right)}{a\,d-b\,c}+\frac{6\,x^3\,\left(2\,A^2\,b^3\,d^3+5\,B^2\,b^3\,d^3\,n^2\right)}{a\,d-b\,c}}{x^4\,\left(2\,a^3\,b^2\,d^5\,g^3\,i^3-6\,a^2\,b^3\,c\,d^4\,g^3\,i^3+6\,a\,b^4\,c^2\,d^3\,g^3\,i^3-2\,b^5\,c^3\,d^2\,g^3\,i^3\right)-x\,\left(-4\,a^5\,c\,d^4\,g^3\,i^3+8\,a^4\,b\,c^2\,d^3\,g^3\,i^3-8\,a^2\,b^3\,c^4\,d\,g^3\,i^3+4\,a\,b^4\,c^5\,g^3\,i^3\right)+x^3\,\left(4\,a^4\,b\,d^5\,g^3\,i^3-8\,a^3\,b^2\,c\,d^4\,g^3\,i^3+8\,a\,b^4\,c^3\,d^2\,g^3\,i^3-4\,b^5\,c^4\,d\,g^3\,i^3\right)+x^2\,\left(2\,a^5\,d^5\,g^3\,i^3+2\,a^4\,b\,c\,d^4\,g^3\,i^3-16\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+16\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-2\,a\,b^4\,c^4\,d\,g^3\,i^3-2\,b^5\,c^5\,g^3\,i^3\right)-2\,a^2\,b^3\,c^5\,g^3\,i^3+2\,a^5\,c^2\,d^3\,g^3\,i^3+6\,a^3\,b^2\,c^4\,d\,g^3\,i^3-6\,a^4\,b\,c^3\,d^2\,g^3\,i^3}+{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{x\,\left(\frac{3\,B^2\,b\,d\,{\left(a\,d+b\,c\right)}^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{B^2\,b\,d}{a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2}+\frac{6\,B^2\,a\,b^2\,c\,d^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B^2\,\left(a\,d+b\,c\right)}{2\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{6\,B^2\,b^3\,d^3\,x^3}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{9\,B^2\,b^2\,d^2\,x^2\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{3\,B^2\,a\,b\,c\,d\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}}{x\,\left(2\,d\,a^2\,c\,g^3\,i^3+2\,b\,a\,c^2\,g^3\,i^3\right)+x^3\,\left(2\,c\,b^2\,d\,g^3\,i^3+2\,a\,b\,d^2\,g^3\,i^3\right)+x^2\,\left(a^2\,d^2\,g^3\,i^3+4\,a\,b\,c\,d\,g^3\,i^3+b^2\,c^2\,g^3\,i^3\right)+a^2\,c^2\,g^3\,i^3+b^2\,d^2\,g^3\,i^3\,x^4}-\frac{6\,A\,B\,b^2\,d^2}{g^3\,i^3\,n\,{\left(a\,d-b\,c\right)}^5}\right)+\frac{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(x\,\left(\frac{6\,\left(a\,d+b\,c\right)\,\left(c\,n\,B^2\,b^2\,d-a\,n\,B^2\,b\,d^2+A\,c\,B\,b^2\,d+A\,a\,B\,b\,d^2\right)}{a\,d-b\,c}-2\,A\,B\,a\,b\,d^2+2\,A\,B\,b^2\,c\,d+\frac{12\,A\,B\,a\,b^2\,c\,d^2}{a\,d-b\,c}\right)+x^2\,\left(\frac{6\,b\,d\,\left(c\,n\,B^2\,b^2\,d-a\,n\,B^2\,b\,d^2+A\,c\,B\,b^2\,d+A\,a\,B\,b\,d^2\right)}{a\,d-b\,c}+\frac{12\,A\,B\,b^2\,d^2\,\left(a\,d+b\,c\right)}{a\,d-b\,c}\right)+\frac{6\,a\,c\,\left(c\,n\,B^2\,b^2\,d-a\,n\,B^2\,b\,d^2+A\,c\,B\,b^2\,d+A\,a\,B\,b\,d^2\right)}{a\,d-b\,c}-A\,B\,a^2\,d^2+A\,B\,b^2\,c^2+\frac{B^2\,a^2\,d^2\,n}{2}+\frac{B^2\,b^2\,c^2\,n}{2}+\frac{12\,A\,B\,b^3\,d^3\,x^3}{a\,d-b\,c}-B^2\,a\,b\,c\,d\,n\right)}{x^4\,\left(a^3\,b^2\,d^5\,g^3\,i^3-3\,a^2\,b^3\,c\,d^4\,g^3\,i^3+3\,a\,b^4\,c^2\,d^3\,g^3\,i^3-b^5\,c^3\,d^2\,g^3\,i^3\right)-x\,\left(-2\,a^5\,c\,d^4\,g^3\,i^3+4\,a^4\,b\,c^2\,d^3\,g^3\,i^3-4\,a^2\,b^3\,c^4\,d\,g^3\,i^3+2\,a\,b^4\,c^5\,g^3\,i^3\right)+x^3\,\left(2\,a^4\,b\,d^5\,g^3\,i^3-4\,a^3\,b^2\,c\,d^4\,g^3\,i^3+4\,a\,b^4\,c^3\,d^2\,g^3\,i^3-2\,b^5\,c^4\,d\,g^3\,i^3\right)+x^2\,\left(a^5\,d^5\,g^3\,i^3+a^4\,b\,c\,d^4\,g^3\,i^3-8\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+8\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-a\,b^4\,c^4\,d\,g^3\,i^3-b^5\,c^5\,g^3\,i^3\right)-a^2\,b^3\,c^5\,g^3\,i^3+a^5\,c^2\,d^3\,g^3\,i^3+3\,a^3\,b^2\,c^4\,d\,g^3\,i^3-3\,a^4\,b\,c^3\,d^2\,g^3\,i^3}-\frac{2\,B^2\,b^2\,d^2\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{g^3\,i^3\,n\,{\left(a\,d-b\,c\right)}^5}+\frac{b^2\,d^2\,\mathrm{atan}\left(\frac{b^2\,d^2\,\left(\frac{a^5\,d^5\,g^3\,i^3-3\,a^4\,b\,c\,d^4\,g^3\,i^3+2\,a^3\,b^2\,c^2\,d^3\,g^3\,i^3+2\,a^2\,b^3\,c^3\,d^2\,g^3\,i^3-3\,a\,b^4\,c^4\,d\,g^3\,i^3+b^5\,c^5\,g^3\,i^3}{a^4\,d^4\,g^3\,i^3-4\,a^3\,b\,c\,d^3\,g^3\,i^3+6\,a^2\,b^2\,c^2\,d^2\,g^3\,i^3-4\,a\,b^3\,c^3\,d\,g^3\,i^3+b^4\,c^4\,g^3\,i^3}+2\,b\,d\,x\right)\,\left(2\,A^2+5\,B^2\,n^2\right)\,\left(a^4\,d^4\,g^3\,i^3-4\,a^3\,b\,c\,d^3\,g^3\,i^3+6\,a^2\,b^2\,c^2\,d^2\,g^3\,i^3-4\,a\,b^3\,c^3\,d\,g^3\,i^3+b^4\,c^4\,g^3\,i^3\right)\,3{}\mathrm{i}}{g^3\,i^3\,\left(6\,A^2\,b^2\,d^2+15\,B^2\,b^2\,d^2\,n^2\right)\,{\left(a\,d-b\,c\right)}^5}\right)\,\left(2\,A^2+5\,B^2\,n^2\right)\,6{}\mathrm{i}}{g^3\,i^3\,{\left(a\,d-b\,c\right)}^5}","Not used",1,"((3*x^2*(6*A^2*a*b^2*d^3 + 6*A^2*b^3*c*d^2 + 15*B^2*a*b^2*d^3*n^2 + 15*B^2*b^3*c*d^2*n^2 - 4*A*B*a*b^2*d^3*n + 4*A*B*b^3*c*d^2*n))/(a*d - b*c) - (2*A^2*a^3*d^3 + 2*A^2*b^3*c^3 + B^2*a^3*d^3*n^2 + B^2*b^3*c^3*n^2 - 14*A^2*a*b^2*c^2*d - 14*A^2*a^2*b*c*d^2 - 2*A*B*a^3*d^3*n + 2*A*B*b^3*c^3*n - 31*B^2*a*b^2*c^2*d*n^2 - 31*B^2*a^2*b*c*d^2*n^2 - 30*A*B*a*b^2*c^2*d*n + 30*A*B*a^2*b*c*d^2*n)/(2*(a*d - b*c)) + (2*x*(2*A^2*a^2*b*d^3 + 2*A^2*b^3*c^2*d + 14*A^2*a*b^2*c*d^2 + 7*B^2*a^2*b*d^3*n^2 + 7*B^2*b^3*c^2*d*n^2 + 31*B^2*a*b^2*c*d^2*n^2 - 6*A*B*a^2*b*d^3*n + 6*A*B*b^3*c^2*d*n))/(a*d - b*c) + (6*x^3*(2*A^2*b^3*d^3 + 5*B^2*b^3*d^3*n^2))/(a*d - b*c))/(x^4*(2*a^3*b^2*d^5*g^3*i^3 - 2*b^5*c^3*d^2*g^3*i^3 + 6*a*b^4*c^2*d^3*g^3*i^3 - 6*a^2*b^3*c*d^4*g^3*i^3) - x*(4*a*b^4*c^5*g^3*i^3 - 4*a^5*c*d^4*g^3*i^3 - 8*a^2*b^3*c^4*d*g^3*i^3 + 8*a^4*b*c^2*d^3*g^3*i^3) + x^3*(4*a^4*b*d^5*g^3*i^3 - 4*b^5*c^4*d*g^3*i^3 + 8*a*b^4*c^3*d^2*g^3*i^3 - 8*a^3*b^2*c*d^4*g^3*i^3) + x^2*(2*a^5*d^5*g^3*i^3 - 2*b^5*c^5*g^3*i^3 - 2*a*b^4*c^4*d*g^3*i^3 + 2*a^4*b*c*d^4*g^3*i^3 + 16*a^2*b^3*c^3*d^2*g^3*i^3 - 16*a^3*b^2*c^2*d^3*g^3*i^3) - 2*a^2*b^3*c^5*g^3*i^3 + 2*a^5*c^2*d^3*g^3*i^3 + 6*a^3*b^2*c^4*d*g^3*i^3 - 6*a^4*b*c^3*d^2*g^3*i^3) + log(e*((a + b*x)/(c + d*x))^n)^2*((x*((3*B^2*b*d*(a*d + b*c)^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 - (B^2*b*d)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d) + (6*B^2*a*b^2*c*d^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (B^2*(a*d + b*c))/(2*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (6*B^2*b^3*d^3*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 + (9*B^2*b^2*d^2*x^2*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2 + (3*B^2*a*b*c*d*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)/(x*(2*a*b*c^2*g^3*i^3 + 2*a^2*c*d*g^3*i^3) + x^3*(2*a*b*d^2*g^3*i^3 + 2*b^2*c*d*g^3*i^3) + x^2*(a^2*d^2*g^3*i^3 + b^2*c^2*g^3*i^3 + 4*a*b*c*d*g^3*i^3) + a^2*c^2*g^3*i^3 + b^2*d^2*g^3*i^3*x^4) - (6*A*B*b^2*d^2)/(g^3*i^3*n*(a*d - b*c)^5)) + (log(e*((a + b*x)/(c + d*x))^n)*(x*((6*(a*d + b*c)*(A*B*a*b*d^2 + A*B*b^2*c*d - B^2*a*b*d^2*n + B^2*b^2*c*d*n))/(a*d - b*c) - 2*A*B*a*b*d^2 + 2*A*B*b^2*c*d + (12*A*B*a*b^2*c*d^2)/(a*d - b*c)) + x^2*((6*b*d*(A*B*a*b*d^2 + A*B*b^2*c*d - B^2*a*b*d^2*n + B^2*b^2*c*d*n))/(a*d - b*c) + (12*A*B*b^2*d^2*(a*d + b*c))/(a*d - b*c)) + (6*a*c*(A*B*a*b*d^2 + A*B*b^2*c*d - B^2*a*b*d^2*n + B^2*b^2*c*d*n))/(a*d - b*c) - A*B*a^2*d^2 + A*B*b^2*c^2 + (B^2*a^2*d^2*n)/2 + (B^2*b^2*c^2*n)/2 + (12*A*B*b^3*d^3*x^3)/(a*d - b*c) - B^2*a*b*c*d*n))/(x^4*(a^3*b^2*d^5*g^3*i^3 - b^5*c^3*d^2*g^3*i^3 + 3*a*b^4*c^2*d^3*g^3*i^3 - 3*a^2*b^3*c*d^4*g^3*i^3) - x*(2*a*b^4*c^5*g^3*i^3 - 2*a^5*c*d^4*g^3*i^3 - 4*a^2*b^3*c^4*d*g^3*i^3 + 4*a^4*b*c^2*d^3*g^3*i^3) + x^3*(2*a^4*b*d^5*g^3*i^3 - 2*b^5*c^4*d*g^3*i^3 + 4*a*b^4*c^3*d^2*g^3*i^3 - 4*a^3*b^2*c*d^4*g^3*i^3) + x^2*(a^5*d^5*g^3*i^3 - b^5*c^5*g^3*i^3 - a*b^4*c^4*d*g^3*i^3 + a^4*b*c*d^4*g^3*i^3 + 8*a^2*b^3*c^3*d^2*g^3*i^3 - 8*a^3*b^2*c^2*d^3*g^3*i^3) - a^2*b^3*c^5*g^3*i^3 + a^5*c^2*d^3*g^3*i^3 + 3*a^3*b^2*c^4*d*g^3*i^3 - 3*a^4*b*c^3*d^2*g^3*i^3) + (b^2*d^2*atan((b^2*d^2*((a^5*d^5*g^3*i^3 + b^5*c^5*g^3*i^3 - 3*a*b^4*c^4*d*g^3*i^3 - 3*a^4*b*c*d^4*g^3*i^3 + 2*a^2*b^3*c^3*d^2*g^3*i^3 + 2*a^3*b^2*c^2*d^3*g^3*i^3)/(a^4*d^4*g^3*i^3 + b^4*c^4*g^3*i^3 - 4*a*b^3*c^3*d*g^3*i^3 - 4*a^3*b*c*d^3*g^3*i^3 + 6*a^2*b^2*c^2*d^2*g^3*i^3) + 2*b*d*x)*(2*A^2 + 5*B^2*n^2)*(a^4*d^4*g^3*i^3 + b^4*c^4*g^3*i^3 - 4*a*b^3*c^3*d*g^3*i^3 - 4*a^3*b*c*d^3*g^3*i^3 + 6*a^2*b^2*c^2*d^2*g^3*i^3)*3i)/(g^3*i^3*(6*A^2*b^2*d^2 + 15*B^2*b^2*d^2*n^2)*(a*d - b*c)^5))*(2*A^2 + 5*B^2*n^2)*6i)/(g^3*i^3*(a*d - b*c)^5) - (2*B^2*b^2*d^2*log(e*((a + b*x)/(c + d*x))^n)^3)/(g^3*i^3*n*(a*d - b*c)^5)","B"
209,1,4649,908,13.701263,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/((a*g + b*g*x)^4*(c*i + d*i*x)^3),x)","\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{x\,\left(\left(a\,d+b\,c\right)\,\left(\frac{10\,c\,n\,B^2\,b^2\,d}{3}-\frac{70\,a\,n\,B^2\,b\,d^2}{3}+10\,A\,c\,B\,b^2\,d+20\,A\,a\,B\,b\,d^2\right)+a\,c\,\left(30\,A\,B\,b^2\,d^2-20\,B^2\,b^2\,d^2\,n\right)+\frac{5\,B^2\,a^2\,b\,d^3\,n}{6}+\frac{5\,B^2\,b^3\,c^2\,d\,n}{6}-5\,A\,B\,a^2\,b\,d^3-5\,A\,B\,b^3\,c^2\,d+10\,A\,B\,a\,b^2\,c\,d^2-\frac{5\,B^2\,a\,b^2\,c\,d^2\,n}{3}\right)+x^2\,\left(\left(a\,d+b\,c\right)\,\left(30\,A\,B\,b^2\,d^2-20\,B^2\,b^2\,d^2\,n\right)+b\,d\,\left(\frac{10\,c\,n\,B^2\,b^2\,d}{3}-\frac{70\,a\,n\,B^2\,b\,d^2}{3}+10\,A\,c\,B\,b^2\,d+20\,A\,a\,B\,b\,d^2\right)\right)+a\,c\,\left(\frac{10\,c\,n\,B^2\,b^2\,d}{3}-\frac{70\,a\,n\,B^2\,b\,d^2}{3}+10\,A\,c\,B\,b^2\,d+20\,A\,a\,B\,b\,d^2\right)-3\,A\,B\,a^3\,d^3-2\,A\,B\,b^3\,c^3+b\,d\,x^3\,\left(30\,A\,B\,b^2\,d^2-20\,B^2\,b^2\,d^2\,n\right)+\frac{3\,B^2\,a^3\,d^3\,n}{2}-\frac{2\,B^2\,b^3\,c^3\,n}{3}+A\,B\,a\,b^2\,c^2\,d+4\,A\,B\,a^2\,b\,c\,d^2+\frac{17\,B^2\,a\,b^2\,c^2\,d\,n}{6}-\frac{11\,B^2\,a^2\,b\,c\,d^2\,n}{3}}{x^5\,\left(3\,a^4\,b^3\,d^6\,g^4\,i^3-12\,a^3\,b^4\,c\,d^5\,g^4\,i^3+18\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-12\,a\,b^6\,c^3\,d^3\,g^4\,i^3+3\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(6\,a^7\,c\,d^5\,g^4\,i^3-15\,a^6\,b\,c^2\,d^4\,g^4\,i^3+30\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-30\,a^3\,b^4\,c^5\,d\,g^4\,i^3+9\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(3\,a^7\,d^6\,g^4\,i^3+6\,a^6\,b\,c\,d^5\,g^4\,i^3-45\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+60\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-15\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-18\,a^2\,b^5\,c^5\,d\,g^4\,i^3+9\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(9\,a^6\,b\,d^6\,g^4\,i^3-18\,a^5\,b^2\,c\,d^5\,g^4\,i^3-15\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+60\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-45\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+6\,a\,b^6\,c^5\,d\,g^4\,i^3+3\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(9\,a^5\,b^2\,d^6\,g^4\,i^3-30\,a^4\,b^3\,c\,d^5\,g^4\,i^3+30\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-15\,a\,b^6\,c^4\,d^2\,g^4\,i^3+6\,b^7\,c^5\,d\,g^4\,i^3\right)+3\,a^3\,b^4\,c^6\,g^4\,i^3+3\,a^7\,c^2\,d^4\,g^4\,i^3-12\,a^4\,b^3\,c^5\,d\,g^4\,i^3-12\,a^6\,b\,c^3\,d^3\,g^4\,i^3+18\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3}+\frac{20\,B\,b^2\,d^3\,\left(3\,A+B\,n\right)\,\left(x^2\,\left(\frac{3\,g^4\,i^3\,n\,{\left(a\,d+b\,c\right)}^2\,{\left(a\,d-b\,c\right)}^5}{d}+6\,a\,b\,c\,g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^5\right)+6\,b\,g^4\,i^3\,n\,x^3\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^5+3\,b^2\,d\,g^4\,i^3\,n\,x^4\,{\left(a\,d-b\,c\right)}^5+\frac{3\,a^2\,c^2\,g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^5}{d}+\frac{6\,a\,c\,g^4\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^5}{d}\right)}{3\,g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6\,\left(x^5\,\left(3\,a^4\,b^3\,d^6\,g^4\,i^3-12\,a^3\,b^4\,c\,d^5\,g^4\,i^3+18\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-12\,a\,b^6\,c^3\,d^3\,g^4\,i^3+3\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(6\,a^7\,c\,d^5\,g^4\,i^3-15\,a^6\,b\,c^2\,d^4\,g^4\,i^3+30\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-30\,a^3\,b^4\,c^5\,d\,g^4\,i^3+9\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(3\,a^7\,d^6\,g^4\,i^3+6\,a^6\,b\,c\,d^5\,g^4\,i^3-45\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+60\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-15\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-18\,a^2\,b^5\,c^5\,d\,g^4\,i^3+9\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(9\,a^6\,b\,d^6\,g^4\,i^3-18\,a^5\,b^2\,c\,d^5\,g^4\,i^3-15\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+60\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-45\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+6\,a\,b^6\,c^5\,d\,g^4\,i^3+3\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(9\,a^5\,b^2\,d^6\,g^4\,i^3-30\,a^4\,b^3\,c\,d^5\,g^4\,i^3+30\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-15\,a\,b^6\,c^4\,d^2\,g^4\,i^3+6\,b^7\,c^5\,d\,g^4\,i^3\right)+3\,a^3\,b^4\,c^6\,g^4\,i^3+3\,a^7\,c^2\,d^4\,g^4\,i^3-12\,a^4\,b^3\,c^5\,d\,g^4\,i^3-12\,a^6\,b\,c^3\,d^3\,g^4\,i^3+18\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3\right)}\right)+{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{x\,\left(\frac{5\,B^2\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)\,\left(a\,d+b\,c\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}-\frac{5\,B^2\,b\,d}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B^2\,a\,b^2\,c\,d^2}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)+x^2\,\left(\frac{5\,B^2\,b\,d\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B^2\,b^2\,d^2\,\left(a\,d+b\,c\right)}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}\right)-\frac{B^2\,\left(3\,a\,d+2\,b\,c\right)}{6\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{5\,B^2\,a\,c\,\left(c\,b^2\,d+2\,a\,b\,d^2\right)}{3\,{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}+\frac{5\,B^2\,b^3\,d^3\,x^3}{{\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}^2}}{x\,\left(2\,d\,a^3\,c\,g^4\,i^3+3\,b\,a^2\,c^2\,g^4\,i^3\right)+x^2\,\left(a^3\,d^2\,g^4\,i^3+6\,a^2\,b\,c\,d\,g^4\,i^3+3\,a\,b^2\,c^2\,g^4\,i^3\right)+x^3\,\left(3\,a^2\,b\,d^2\,g^4\,i^3+6\,a\,b^2\,c\,d\,g^4\,i^3+b^3\,c^2\,g^4\,i^3\right)+x^4\,\left(2\,c\,b^3\,d\,g^4\,i^3+3\,a\,b^2\,d^2\,g^4\,i^3\right)+a^3\,c^2\,g^4\,i^3+b^3\,d^2\,g^4\,i^3\,x^5}-\frac{10\,B\,b^2\,d^3\,\left(3\,A+B\,n\right)}{3\,g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6}+\frac{10\,B^2\,b^2\,d^3\,\left(x^2\,\left(\frac{g^4\,i^3\,n\,{\left(a\,d+b\,c\right)}^2\,\left(a\,d-b\,c\right)}{d}+2\,a\,b\,c\,g^4\,i^3\,n\,\left(a\,d-b\,c\right)\right)+b^2\,d\,g^4\,i^3\,n\,x^4\,\left(a\,d-b\,c\right)+\frac{a^2\,c^2\,g^4\,i^3\,n\,\left(a\,d-b\,c\right)}{d}+2\,b\,g^4\,i^3\,n\,x^3\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)+\frac{2\,a\,c\,g^4\,i^3\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)}{g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6\,\left(x\,\left(2\,d\,a^3\,c\,g^4\,i^3+3\,b\,a^2\,c^2\,g^4\,i^3\right)+x^2\,\left(a^3\,d^2\,g^4\,i^3+6\,a^2\,b\,c\,d\,g^4\,i^3+3\,a\,b^2\,c^2\,g^4\,i^3\right)+x^3\,\left(3\,a^2\,b\,d^2\,g^4\,i^3+6\,a\,b^2\,c\,d\,g^4\,i^3+b^3\,c^2\,g^4\,i^3\right)+x^4\,\left(2\,c\,b^3\,d\,g^4\,i^3+3\,a\,b^2\,d^2\,g^4\,i^3\right)+a^3\,c^2\,g^4\,i^3+b^3\,d^2\,g^4\,i^3\,x^5\right)}\right)+\frac{\frac{-54\,A^2\,a^4\,d^4+486\,A^2\,a^3\,b\,c\,d^3+846\,A^2\,a^2\,b^2\,c^2\,d^2-234\,A^2\,a\,b^3\,c^3\,d+36\,A^2\,b^4\,c^4+54\,A\,B\,a^4\,d^4\,n-1026\,A\,B\,a^3\,b\,c\,d^3\,n+1914\,A\,B\,a^2\,b^2\,c^2\,d^2\,n-246\,A\,B\,a\,b^3\,c^3\,d\,n+24\,A\,B\,b^4\,c^4\,n-27\,B^2\,a^4\,d^4\,n^2+1053\,B^2\,a^3\,b\,c\,d^3\,n^2+2033\,B^2\,a^2\,b^2\,c^2\,d^2\,n^2-127\,B^2\,a\,b^3\,c^3\,d\,n^2+8\,B^2\,b^4\,c^4\,n^2}{6\,\left(a\,d-b\,c\right)}+\frac{5\,x\,\left(54\,A^2\,a^3\,b\,d^4+630\,A^2\,a^2\,b^2\,c\,d^3+198\,A^2\,a\,b^3\,c^2\,d^2-18\,A^2\,b^4\,c^3\,d-162\,A\,B\,a^3\,b\,d^4\,n+150\,A\,B\,a^2\,b^2\,c\,d^3\,n+618\,A\,B\,a\,b^3\,c^2\,d^2\,n-30\,A\,B\,b^4\,c^3\,d\,n+189\,B^2\,a^3\,b\,d^4\,n^2+1445\,B^2\,a^2\,b^2\,c\,d^3\,n^2+737\,B^2\,a\,b^3\,c^2\,d^2\,n^2-19\,B^2\,b^4\,c^3\,d\,n^2\right)}{6\,\left(a\,d-b\,c\right)}+\frac{5\,x^3\,\left(54\,c\,A^2\,b^4\,d^3+90\,a\,A^2\,b^3\,d^4+72\,c\,A\,B\,b^4\,d^3\,n+24\,a\,A\,B\,b^3\,d^4\,n+159\,c\,B^2\,b^4\,d^3\,n^2+233\,a\,B^2\,b^3\,d^4\,n^2\right)}{a\,d-b\,c}+\frac{10\,x^4\,\left(18\,A^2\,b^4\,d^4+12\,A\,B\,b^4\,d^4\,n+49\,B^2\,b^4\,d^4\,n^2\right)}{a\,d-b\,c}+\frac{5\,x^2\,\left(198\,A^2\,a^2\,b^2\,d^4+414\,A^2\,a\,b^3\,c\,d^3+36\,A^2\,b^4\,c^2\,d^2-84\,A\,B\,a^2\,b^2\,d^4\,n+384\,A\,B\,a\,b^3\,c\,d^3\,n+132\,A\,B\,b^4\,c^2\,d^2\,n+503\,B^2\,a^2\,b^2\,d^4\,n^2+1091\,B^2\,a\,b^3\,c\,d^3\,n^2+170\,B^2\,b^4\,c^2\,d^2\,n^2\right)}{3\,\left(a\,d-b\,c\right)}}{x^5\,\left(18\,a^4\,b^3\,d^6\,g^4\,i^3-72\,a^3\,b^4\,c\,d^5\,g^4\,i^3+108\,a^2\,b^5\,c^2\,d^4\,g^4\,i^3-72\,a\,b^6\,c^3\,d^3\,g^4\,i^3+18\,b^7\,c^4\,d^2\,g^4\,i^3\right)+x\,\left(36\,a^7\,c\,d^5\,g^4\,i^3-90\,a^6\,b\,c^2\,d^4\,g^4\,i^3+180\,a^4\,b^3\,c^4\,d^2\,g^4\,i^3-180\,a^3\,b^4\,c^5\,d\,g^4\,i^3+54\,a^2\,b^5\,c^6\,g^4\,i^3\right)+x^2\,\left(18\,a^7\,d^6\,g^4\,i^3+36\,a^6\,b\,c\,d^5\,g^4\,i^3-270\,a^5\,b^2\,c^2\,d^4\,g^4\,i^3+360\,a^4\,b^3\,c^3\,d^3\,g^4\,i^3-90\,a^3\,b^4\,c^4\,d^2\,g^4\,i^3-108\,a^2\,b^5\,c^5\,d\,g^4\,i^3+54\,a\,b^6\,c^6\,g^4\,i^3\right)+x^3\,\left(54\,a^6\,b\,d^6\,g^4\,i^3-108\,a^5\,b^2\,c\,d^5\,g^4\,i^3-90\,a^4\,b^3\,c^2\,d^4\,g^4\,i^3+360\,a^3\,b^4\,c^3\,d^3\,g^4\,i^3-270\,a^2\,b^5\,c^4\,d^2\,g^4\,i^3+36\,a\,b^6\,c^5\,d\,g^4\,i^3+18\,b^7\,c^6\,g^4\,i^3\right)+x^4\,\left(54\,a^5\,b^2\,d^6\,g^4\,i^3-180\,a^4\,b^3\,c\,d^5\,g^4\,i^3+180\,a^3\,b^4\,c^2\,d^4\,g^4\,i^3-90\,a\,b^6\,c^4\,d^2\,g^4\,i^3+36\,b^7\,c^5\,d\,g^4\,i^3\right)+18\,a^3\,b^4\,c^6\,g^4\,i^3+18\,a^7\,c^2\,d^4\,g^4\,i^3-72\,a^4\,b^3\,c^5\,d\,g^4\,i^3-72\,a^6\,b\,c^3\,d^3\,g^4\,i^3+108\,a^5\,b^2\,c^4\,d^2\,g^4\,i^3}-\frac{10\,B^2\,b^2\,d^3\,{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^3}{3\,g^4\,i^3\,n\,{\left(a\,d-b\,c\right)}^6}+\frac{b^2\,d^3\,\mathrm{atan}\left(\frac{b^2\,d^3\,\left(18\,A^2+12\,A\,B\,n+49\,B^2\,n^2\right)\,\left(9\,a^6\,d^6\,g^4\,i^3-36\,a^5\,b\,c\,d^5\,g^4\,i^3+45\,a^4\,b^2\,c^2\,d^4\,g^4\,i^3-45\,a^2\,b^4\,c^4\,d^2\,g^4\,i^3+36\,a\,b^5\,c^5\,d\,g^4\,i^3-9\,b^6\,c^6\,g^4\,i^3\right)\,5{}\mathrm{i}}{9\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6\,\left(90\,A^2\,b^2\,d^3+60\,A\,B\,b^2\,d^3\,n+245\,B^2\,b^2\,d^3\,n^2\right)}+\frac{b^3\,d^4\,x\,\left(18\,A^2+12\,A\,B\,n+49\,B^2\,n^2\right)\,\left(a^5\,d^5\,g^4\,i^3-5\,a^4\,b\,c\,d^4\,g^4\,i^3+10\,a^3\,b^2\,c^2\,d^3\,g^4\,i^3-10\,a^2\,b^3\,c^3\,d^2\,g^4\,i^3+5\,a\,b^4\,c^4\,d\,g^4\,i^3-b^5\,c^5\,g^4\,i^3\right)\,10{}\mathrm{i}}{g^4\,i^3\,{\left(a\,d-b\,c\right)}^6\,\left(90\,A^2\,b^2\,d^3+60\,A\,B\,b^2\,d^3\,n+245\,B^2\,b^2\,d^3\,n^2\right)}\right)\,\left(18\,A^2+12\,A\,B\,n+49\,B^2\,n^2\right)\,10{}\mathrm{i}}{9\,g^4\,i^3\,{\left(a\,d-b\,c\right)}^6}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((x*((a*d + b*c)*(20*A*B*a*b*d^2 + 10*A*B*b^2*c*d - (70*B^2*a*b*d^2*n)/3 + (10*B^2*b^2*c*d*n)/3) + a*c*(30*A*B*b^2*d^2 - 20*B^2*b^2*d^2*n) + (5*B^2*a^2*b*d^3*n)/6 + (5*B^2*b^3*c^2*d*n)/6 - 5*A*B*a^2*b*d^3 - 5*A*B*b^3*c^2*d + 10*A*B*a*b^2*c*d^2 - (5*B^2*a*b^2*c*d^2*n)/3) + x^2*((a*d + b*c)*(30*A*B*b^2*d^2 - 20*B^2*b^2*d^2*n) + b*d*(20*A*B*a*b*d^2 + 10*A*B*b^2*c*d - (70*B^2*a*b*d^2*n)/3 + (10*B^2*b^2*c*d*n)/3)) + a*c*(20*A*B*a*b*d^2 + 10*A*B*b^2*c*d - (70*B^2*a*b*d^2*n)/3 + (10*B^2*b^2*c*d*n)/3) - 3*A*B*a^3*d^3 - 2*A*B*b^3*c^3 + b*d*x^3*(30*A*B*b^2*d^2 - 20*B^2*b^2*d^2*n) + (3*B^2*a^3*d^3*n)/2 - (2*B^2*b^3*c^3*n)/3 + A*B*a*b^2*c^2*d + 4*A*B*a^2*b*c*d^2 + (17*B^2*a*b^2*c^2*d*n)/6 - (11*B^2*a^2*b*c*d^2*n)/3)/(x^5*(3*a^4*b^3*d^6*g^4*i^3 + 3*b^7*c^4*d^2*g^4*i^3 - 12*a*b^6*c^3*d^3*g^4*i^3 - 12*a^3*b^4*c*d^5*g^4*i^3 + 18*a^2*b^5*c^2*d^4*g^4*i^3) + x*(9*a^2*b^5*c^6*g^4*i^3 + 6*a^7*c*d^5*g^4*i^3 - 30*a^3*b^4*c^5*d*g^4*i^3 - 15*a^6*b*c^2*d^4*g^4*i^3 + 30*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(3*a^7*d^6*g^4*i^3 + 9*a*b^6*c^6*g^4*i^3 + 6*a^6*b*c*d^5*g^4*i^3 - 18*a^2*b^5*c^5*d*g^4*i^3 - 15*a^3*b^4*c^4*d^2*g^4*i^3 + 60*a^4*b^3*c^3*d^3*g^4*i^3 - 45*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(3*b^7*c^6*g^4*i^3 + 9*a^6*b*d^6*g^4*i^3 + 6*a*b^6*c^5*d*g^4*i^3 - 18*a^5*b^2*c*d^5*g^4*i^3 - 45*a^2*b^5*c^4*d^2*g^4*i^3 + 60*a^3*b^4*c^3*d^3*g^4*i^3 - 15*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(9*a^5*b^2*d^6*g^4*i^3 + 6*b^7*c^5*d*g^4*i^3 - 15*a*b^6*c^4*d^2*g^4*i^3 - 30*a^4*b^3*c*d^5*g^4*i^3 + 30*a^3*b^4*c^2*d^4*g^4*i^3) + 3*a^3*b^4*c^6*g^4*i^3 + 3*a^7*c^2*d^4*g^4*i^3 - 12*a^4*b^3*c^5*d*g^4*i^3 - 12*a^6*b*c^3*d^3*g^4*i^3 + 18*a^5*b^2*c^4*d^2*g^4*i^3) + (20*B*b^2*d^3*(3*A + B*n)*(x^2*((3*g^4*i^3*n*(a*d + b*c)^2*(a*d - b*c)^5)/d + 6*a*b*c*g^4*i^3*n*(a*d - b*c)^5) + 6*b*g^4*i^3*n*x^3*(a*d + b*c)*(a*d - b*c)^5 + 3*b^2*d*g^4*i^3*n*x^4*(a*d - b*c)^5 + (3*a^2*c^2*g^4*i^3*n*(a*d - b*c)^5)/d + (6*a*c*g^4*i^3*n*x*(a*d + b*c)*(a*d - b*c)^5)/d))/(3*g^4*i^3*n*(a*d - b*c)^6*(x^5*(3*a^4*b^3*d^6*g^4*i^3 + 3*b^7*c^4*d^2*g^4*i^3 - 12*a*b^6*c^3*d^3*g^4*i^3 - 12*a^3*b^4*c*d^5*g^4*i^3 + 18*a^2*b^5*c^2*d^4*g^4*i^3) + x*(9*a^2*b^5*c^6*g^4*i^3 + 6*a^7*c*d^5*g^4*i^3 - 30*a^3*b^4*c^5*d*g^4*i^3 - 15*a^6*b*c^2*d^4*g^4*i^3 + 30*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(3*a^7*d^6*g^4*i^3 + 9*a*b^6*c^6*g^4*i^3 + 6*a^6*b*c*d^5*g^4*i^3 - 18*a^2*b^5*c^5*d*g^4*i^3 - 15*a^3*b^4*c^4*d^2*g^4*i^3 + 60*a^4*b^3*c^3*d^3*g^4*i^3 - 45*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(3*b^7*c^6*g^4*i^3 + 9*a^6*b*d^6*g^4*i^3 + 6*a*b^6*c^5*d*g^4*i^3 - 18*a^5*b^2*c*d^5*g^4*i^3 - 45*a^2*b^5*c^4*d^2*g^4*i^3 + 60*a^3*b^4*c^3*d^3*g^4*i^3 - 15*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(9*a^5*b^2*d^6*g^4*i^3 + 6*b^7*c^5*d*g^4*i^3 - 15*a*b^6*c^4*d^2*g^4*i^3 - 30*a^4*b^3*c*d^5*g^4*i^3 + 30*a^3*b^4*c^2*d^4*g^4*i^3) + 3*a^3*b^4*c^6*g^4*i^3 + 3*a^7*c^2*d^4*g^4*i^3 - 12*a^4*b^3*c^5*d*g^4*i^3 - 12*a^6*b*c^3*d^3*g^4*i^3 + 18*a^5*b^2*c^4*d^2*g^4*i^3))) + log(e*((a + b*x)/(c + d*x))^n)^2*((x*((5*B^2*(2*a*b*d^2 + b^2*c*d)*(a*d + b*c))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (5*B^2*b*d)/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B^2*a*b^2*c*d^2)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + x^2*((5*B^2*b*d*(2*a*b*d^2 + b^2*c*d))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B^2*b^2*d^2*(a*d + b*c))/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) - (B^2*(3*a*d + 2*b*c))/(6*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (5*B^2*a*c*(2*a*b*d^2 + b^2*c*d))/(3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2) + (5*B^2*b^3*d^3*x^3)/(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)^2)/(x*(2*a^3*c*d*g^4*i^3 + 3*a^2*b*c^2*g^4*i^3) + x^2*(a^3*d^2*g^4*i^3 + 3*a*b^2*c^2*g^4*i^3 + 6*a^2*b*c*d*g^4*i^3) + x^3*(b^3*c^2*g^4*i^3 + 3*a^2*b*d^2*g^4*i^3 + 6*a*b^2*c*d*g^4*i^3) + x^4*(2*b^3*c*d*g^4*i^3 + 3*a*b^2*d^2*g^4*i^3) + a^3*c^2*g^4*i^3 + b^3*d^2*g^4*i^3*x^5) - (10*B*b^2*d^3*(3*A + B*n))/(3*g^4*i^3*n*(a*d - b*c)^6) + (10*B^2*b^2*d^3*(x^2*((g^4*i^3*n*(a*d + b*c)^2*(a*d - b*c))/d + 2*a*b*c*g^4*i^3*n*(a*d - b*c)) + b^2*d*g^4*i^3*n*x^4*(a*d - b*c) + (a^2*c^2*g^4*i^3*n*(a*d - b*c))/d + 2*b*g^4*i^3*n*x^3*(a*d + b*c)*(a*d - b*c) + (2*a*c*g^4*i^3*n*x*(a*d + b*c)*(a*d - b*c))/d))/(g^4*i^3*n*(a*d - b*c)^6*(x*(2*a^3*c*d*g^4*i^3 + 3*a^2*b*c^2*g^4*i^3) + x^2*(a^3*d^2*g^4*i^3 + 3*a*b^2*c^2*g^4*i^3 + 6*a^2*b*c*d*g^4*i^3) + x^3*(b^3*c^2*g^4*i^3 + 3*a^2*b*d^2*g^4*i^3 + 6*a*b^2*c*d*g^4*i^3) + x^4*(2*b^3*c*d*g^4*i^3 + 3*a*b^2*d^2*g^4*i^3) + a^3*c^2*g^4*i^3 + b^3*d^2*g^4*i^3*x^5))) + ((36*A^2*b^4*c^4 - 54*A^2*a^4*d^4 - 27*B^2*a^4*d^4*n^2 + 8*B^2*b^4*c^4*n^2 + 846*A^2*a^2*b^2*c^2*d^2 - 234*A^2*a*b^3*c^3*d + 486*A^2*a^3*b*c*d^3 + 54*A*B*a^4*d^4*n + 24*A*B*b^4*c^4*n - 127*B^2*a*b^3*c^3*d*n^2 + 1053*B^2*a^3*b*c*d^3*n^2 + 2033*B^2*a^2*b^2*c^2*d^2*n^2 + 1914*A*B*a^2*b^2*c^2*d^2*n - 246*A*B*a*b^3*c^3*d*n - 1026*A*B*a^3*b*c*d^3*n)/(6*(a*d - b*c)) + (5*x*(54*A^2*a^3*b*d^4 - 18*A^2*b^4*c^3*d + 198*A^2*a*b^3*c^2*d^2 + 630*A^2*a^2*b^2*c*d^3 + 189*B^2*a^3*b*d^4*n^2 - 19*B^2*b^4*c^3*d*n^2 - 162*A*B*a^3*b*d^4*n - 30*A*B*b^4*c^3*d*n + 737*B^2*a*b^3*c^2*d^2*n^2 + 1445*B^2*a^2*b^2*c*d^3*n^2 + 618*A*B*a*b^3*c^2*d^2*n + 150*A*B*a^2*b^2*c*d^3*n))/(6*(a*d - b*c)) + (5*x^3*(90*A^2*a*b^3*d^4 + 54*A^2*b^4*c*d^3 + 233*B^2*a*b^3*d^4*n^2 + 159*B^2*b^4*c*d^3*n^2 + 24*A*B*a*b^3*d^4*n + 72*A*B*b^4*c*d^3*n))/(a*d - b*c) + (10*x^4*(18*A^2*b^4*d^4 + 49*B^2*b^4*d^4*n^2 + 12*A*B*b^4*d^4*n))/(a*d - b*c) + (5*x^2*(198*A^2*a^2*b^2*d^4 + 36*A^2*b^4*c^2*d^2 + 503*B^2*a^2*b^2*d^4*n^2 + 170*B^2*b^4*c^2*d^2*n^2 + 414*A^2*a*b^3*c*d^3 + 1091*B^2*a*b^3*c*d^3*n^2 - 84*A*B*a^2*b^2*d^4*n + 132*A*B*b^4*c^2*d^2*n + 384*A*B*a*b^3*c*d^3*n))/(3*(a*d - b*c)))/(x^5*(18*a^4*b^3*d^6*g^4*i^3 + 18*b^7*c^4*d^2*g^4*i^3 - 72*a*b^6*c^3*d^3*g^4*i^3 - 72*a^3*b^4*c*d^5*g^4*i^3 + 108*a^2*b^5*c^2*d^4*g^4*i^3) + x*(54*a^2*b^5*c^6*g^4*i^3 + 36*a^7*c*d^5*g^4*i^3 - 180*a^3*b^4*c^5*d*g^4*i^3 - 90*a^6*b*c^2*d^4*g^4*i^3 + 180*a^4*b^3*c^4*d^2*g^4*i^3) + x^2*(18*a^7*d^6*g^4*i^3 + 54*a*b^6*c^6*g^4*i^3 + 36*a^6*b*c*d^5*g^4*i^3 - 108*a^2*b^5*c^5*d*g^4*i^3 - 90*a^3*b^4*c^4*d^2*g^4*i^3 + 360*a^4*b^3*c^3*d^3*g^4*i^3 - 270*a^5*b^2*c^2*d^4*g^4*i^3) + x^3*(18*b^7*c^6*g^4*i^3 + 54*a^6*b*d^6*g^4*i^3 + 36*a*b^6*c^5*d*g^4*i^3 - 108*a^5*b^2*c*d^5*g^4*i^3 - 270*a^2*b^5*c^4*d^2*g^4*i^3 + 360*a^3*b^4*c^3*d^3*g^4*i^3 - 90*a^4*b^3*c^2*d^4*g^4*i^3) + x^4*(54*a^5*b^2*d^6*g^4*i^3 + 36*b^7*c^5*d*g^4*i^3 - 90*a*b^6*c^4*d^2*g^4*i^3 - 180*a^4*b^3*c*d^5*g^4*i^3 + 180*a^3*b^4*c^2*d^4*g^4*i^3) + 18*a^3*b^4*c^6*g^4*i^3 + 18*a^7*c^2*d^4*g^4*i^3 - 72*a^4*b^3*c^5*d*g^4*i^3 - 72*a^6*b*c^3*d^3*g^4*i^3 + 108*a^5*b^2*c^4*d^2*g^4*i^3) + (b^2*d^3*atan((b^2*d^3*(18*A^2 + 49*B^2*n^2 + 12*A*B*n)*(9*a^6*d^6*g^4*i^3 - 9*b^6*c^6*g^4*i^3 + 36*a*b^5*c^5*d*g^4*i^3 - 36*a^5*b*c*d^5*g^4*i^3 - 45*a^2*b^4*c^4*d^2*g^4*i^3 + 45*a^4*b^2*c^2*d^4*g^4*i^3)*5i)/(9*g^4*i^3*(a*d - b*c)^6*(90*A^2*b^2*d^3 + 245*B^2*b^2*d^3*n^2 + 60*A*B*b^2*d^3*n)) + (b^3*d^4*x*(18*A^2 + 49*B^2*n^2 + 12*A*B*n)*(a^5*d^5*g^4*i^3 - b^5*c^5*g^4*i^3 + 5*a*b^4*c^4*d*g^4*i^3 - 5*a^4*b*c*d^4*g^4*i^3 - 10*a^2*b^3*c^3*d^2*g^4*i^3 + 10*a^3*b^2*c^2*d^3*g^4*i^3)*10i)/(g^4*i^3*(a*d - b*c)^6*(90*A^2*b^2*d^3 + 245*B^2*b^2*d^3*n^2 + 60*A*B*b^2*d^3*n)))*(18*A^2 + 49*B^2*n^2 + 12*A*B*n)*10i)/(9*g^4*i^3*(a*d - b*c)^6) - (10*B^2*b^2*d^3*log(e*((a + b*x)/(c + d*x))^n)^3)/(3*g^4*i^3*n*(a*d - b*c)^6)","B"
210,0,-1,189,0.000000,"\text{Not used}","int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^p)/(c*i + d*i*x)^(m + 2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^p}{{\left(c\,i+d\,i\,x\right)}^{m+2}} \,d x","Not used",1,"int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^p)/(c*i + d*i*x)^(m + 2), x)","F"
211,0,-1,190,0.000000,"\text{Not used}","int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^p)/(a*g + b*g*x)^(m + 2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^p}{{\left(a\,g+b\,g\,x\right)}^{m+2}} \,d x","Not used",1,"int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^p)/(a*g + b*g*x)^(m + 2), x)","F"
212,0,-1,292,0.000000,"\text{Not used}","int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3)/(c*i + d*i*x)^(m + 2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^3}{{\left(c\,i+d\,i\,x\right)}^{m+2}} \,d x","Not used",1,"int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3)/(c*i + d*i*x)^(m + 2), x)","F"
213,0,-1,210,0.000000,"\text{Not used}","int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^(m + 2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(c\,i+d\,i\,x\right)}^{m+2}} \,d x","Not used",1,"int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(c*i + d*i*x)^(m + 2), x)","F"
214,0,-1,128,0.000000,"\text{Not used}","int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^(m + 2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(c\,i+d\,i\,x\right)}^{m+2}} \,d x","Not used",1,"int(((a*g + b*g*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(c*i + d*i*x)^(m + 2), x)","F"
215,0,-1,125,0.000000,"\text{Not used}","int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m}{{\left(c\,i+d\,i\,x\right)}^{m+2}\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",1,"int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
216,0,-1,206,0.000000,"\text{Not used}","int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m}{{\left(c\,i+d\,i\,x\right)}^{m+2}\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",1,"int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
217,0,-1,295,0.000000,"\text{Not used}","int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m}{{\left(c\,i+d\,i\,x\right)}^{m+2}\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^3} \,d x","Not used",1,"int((a*g + b*g*x)^m/((c*i + d*i*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3), x)","F"
218,0,-1,309,0.000000,"\text{Not used}","int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3)/(a*g + b*g*x)^(m + 2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^3}{{\left(a\,g+b\,g\,x\right)}^{m+2}} \,d x","Not used",1,"int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3)/(a*g + b*g*x)^(m + 2), x)","F"
219,0,-1,223,0.000000,"\text{Not used}","int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^(m + 2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(a\,g+b\,g\,x\right)}^{m+2}} \,d x","Not used",1,"int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2)/(a*g + b*g*x)^(m + 2), x)","F"
220,0,-1,137,0.000000,"\text{Not used}","int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^(m + 2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{{\left(a\,g+b\,g\,x\right)}^{m+2}} \,d x","Not used",1,"int(((c*i + d*i*x)^m*(A + B*log(e*((a + b*x)/(c + d*x))^n)))/(a*g + b*g*x)^(m + 2), x)","F"
221,0,-1,128,0.000000,"\text{Not used}","int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m}{{\left(a\,g+b\,g\,x\right)}^{m+2}\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",1,"int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
222,0,-1,214,0.000000,"\text{Not used}","int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m}{{\left(a\,g+b\,g\,x\right)}^{m+2}\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",1,"int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
223,0,-1,306,0.000000,"\text{Not used}","int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m}{{\left(a\,g+b\,g\,x\right)}^{m+2}\,{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^3} \,d x","Not used",1,"int((c*i + d*i*x)^m/((a*g + b*g*x)^(m + 2)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^3), x)","F"
224,0,-1,41,0.000000,"\text{Not used}","int(log(e*((a + b*x)/(c + d*x))^n)^p/((a + b*x)*(c + d*x)),x)","\int \frac{{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^p}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(log(e*((a + b*x)/(c + d*x))^n)^p/((a + b*x)*(c + d*x)), x)","F"
225,0,-1,41,0.000000,"\text{Not used}","int(log(e*((a + b*x)/(c + d*x))^n)^p/(a*c + x*(a*d + b*c) + b*d*x^2),x)","\int \frac{{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^p}{b\,d\,x^2+\left(a\,d+b\,c\right)\,x+a\,c} \,d x","Not used",1,"int(log(e*((a + b*x)/(c + d*x))^n)^p/(a*c + x*(a*d + b*c) + b*d*x^2), x)","F"
226,0,-1,193,0.000000,"\text{Not used}","int(((a*g + b*g*x)^m*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p)/(c*i + d*i*x)^(m + 2),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^m\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^p}{{\left(c\,i+d\,i\,x\right)}^{m+2}} \,d x","Not used",1,"int(((a*g + b*g*x)^m*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p)/(c*i + d*i*x)^(m + 2), x)","F"
227,0,-1,194,0.000000,"\text{Not used}","int(((c*i + d*i*x)^m*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p)/(a*g + b*g*x)^(m + 2),x)","\int \frac{{\left(c\,i+d\,i\,x\right)}^m\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^p}{{\left(a\,g+b\,g\,x\right)}^{m+2}} \,d x","Not used",1,"int(((c*i + d*i*x)^m*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p)/(a*g + b*g*x)^(m + 2), x)","F"
228,1,141,45,5.747340,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/((a + b*x)*(c + d*x)),x)","-\frac{\frac{3\,A^2\,B\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2}{2}+A\,B^2\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3+\frac{B^3\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^4}{4}}{n\,\left(a\,d-b\,c\right)}+\frac{A^3\,\mathrm{atan}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}\right)\,2{}\mathrm{i}}{a\,d-b\,c}","Not used",1,"(A^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(a*d - b*c) - ((B^3*log((e*(a + b*x)^n)/(c + d*x)^n)^4)/4 + (3*A^2*B*log((e*(a + b*x)^n)/(c + d*x)^n)^2)/2 + A*B^2*log((e*(a + b*x)^n)/(c + d*x)^n)^3)/(n*(a*d - b*c))","B"
229,1,100,45,4.773109,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/((a + b*x)*(c + d*x)),x)","-\frac{-6{}\mathrm{i}\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,A^2+3\,A\,B\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2+B^2\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3}{3\,n\,\left(a\,d-b\,c\right)}","Not used",1,"-(B^2*log((e*(a + b*x)^n)/(c + d*x)^n)^3 + 3*A*B*log((e*(a + b*x)^n)/(c + d*x)^n)^2 - A^2*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*6i)/(3*n*(a*d - b*c))","B"
230,1,71,45,4.669492,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/((a + b*x)*(c + d*x)),x)","-\frac{B\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2-A\,n\,\mathrm{atan}\left(\frac{b\,c\,2{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{a\,d-b\,c}+1{}\mathrm{i}\right)\,4{}\mathrm{i}}{2\,n\,\left(a\,d-b\,c\right)}","Not used",1,"-(B*log((e*(a + b*x)^n)/(c + d*x)^n)^2 - A*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*4i)/(2*n*(a*d - b*c))","B"
231,1,40,41,4.656540,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x)*(c + d*x)),x)","-\frac{\ln\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}{B\,a\,d\,n-B\,b\,c\,n}","Not used",1,"-log(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(B*a*d*n - B*b*c*n)","B"
232,1,42,43,4.492222,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x)*(c + d*x)),x)","\frac{1}{B\,n\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)\,\left(a\,d-b\,c\right)}","Not used",1,"1/(B*n*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a*d - b*c))","B"
233,1,72,45,4.542614,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x)*(c + d*x)),x)","\frac{1}{2\,B\,n\,\left(a\,d-b\,c\right)\,\left(A^2+2\,A\,B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)+B^2\,{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\right)}","Not used",1,"1/(2*B*n*(a*d - b*c)*(B^2*log((e*(a + b*x)^n)/(c + d*x)^n)^2 + A^2 + 2*A*B*log((e*(a + b*x)^n)/(c + d*x)^n)))","B"
234,0,-1,49,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/((a + b*x)*(c + d*x)),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^p}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/((a + b*x)*(c + d*x)), x)","F"
235,0,-1,55,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/((a*f + b*f*x)*(c*g + d*g*x)),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^p}{\left(a\,f+b\,f\,x\right)\,\left(c\,g+d\,g\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/((a*f + b*f*x)*(c*g + d*g*x)), x)","F"
236,0,-1,52,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/(a*c*f + f*x*(a*d + b*c) + b*d*f*x^2),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^p}{b\,d\,f\,x^2+f\,\left(a\,d+b\,c\right)\,x+a\,c\,f} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^p/(a*c*f + f*x*(a*d + b*c) + b*d*f*x^2), x)","F"
237,1,40,41,0.002045,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x)*(c + d*x)),x)","-\frac{\ln\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}{B\,a\,d\,n-B\,b\,c\,n}","Not used",1,"-log(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(B*a*d*n - B*b*c*n)","B"
238,1,44,47,4.428976,"\text{Not used}","int(1/((a*f + b*f*x)*(c*g + d*g*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))),x)","-\frac{\ln\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}{B\,a\,d\,f\,g\,n-B\,b\,c\,f\,g\,n}","Not used",1,"-log(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(B*a*d*f*g*n - B*b*c*f*g*n)","B"
239,1,42,44,4.514120,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a*c*f + f*x*(a*d + b*c) + b*d*f*x^2)),x)","-\frac{\ln\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}{B\,a\,d\,f\,n-B\,b\,c\,f\,n}","Not used",1,"-log(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(B*a*d*f*n - B*b*c*f*n)","B"
240,0,-1,88,0.000000,"\text{Not used}","int((a + b*x)^m/(log((e*(a + b*x)^n)/(c + d*x)^n)*(c + d*x)^(m + 2)),x)","\int \frac{{\left(a+b\,x\right)}^m}{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,{\left(c+d\,x\right)}^{m+2}} \,d x","Not used",1,"int((a + b*x)^m/(log((e*(a + b*x)^n)/(c + d*x)^n)*(c + d*x)^(m + 2)), x)","F"
241,0,-1,75,0.000000,"\text{Not used}","int((a + b*x)^3/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^5),x)","\int \frac{{\left(a+b\,x\right)}^3}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(c+d\,x\right)}^5} \,d x","Not used",1,"int((a + b*x)^3/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^5), x)","F"
242,0,-1,75,0.000000,"\text{Not used}","int((a + b*x)^2/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^4),x)","\int \frac{{\left(a+b\,x\right)}^2}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(c+d\,x\right)}^4} \,d x","Not used",1,"int((a + b*x)^2/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^4), x)","F"
243,0,-1,75,0.000000,"\text{Not used}","int((a + b*x)/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^3),x)","\int \frac{a+b\,x}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((a + b*x)/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^3), x)","F"
244,0,-1,72,0.000000,"\text{Not used}","int(1/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^2),x)","\int \frac{1}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int(1/(log(e*((a + b*x)/(c + d*x))^n)*(c + d*x)^2), x)","F"
245,1,33,33,4.476530,"\text{Not used}","int(1/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)*(c + d*x)),x)","-\frac{\ln\left(\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}{a\,d\,n-b\,c\,n}","Not used",1,"-log(log(e*((a + b*x)/(c + d*x))^n))/(a*d*n - b*c*n)","B"
246,0,-1,71,0.000000,"\text{Not used}","int(1/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^2),x)","\int \frac{1}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(1/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^2), x)","F"
247,0,-1,75,0.000000,"\text{Not used}","int((c + d*x)/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^3),x)","\int \frac{c+d\,x}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((c + d*x)/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^3), x)","F"
248,0,-1,75,0.000000,"\text{Not used}","int((c + d*x)^2/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^4),x)","\int \frac{{\left(c+d\,x\right)}^2}{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,{\left(a+b\,x\right)}^4} \,d x","Not used",1,"int((c + d*x)^2/(log(e*((a + b*x)/(c + d*x))^n)*(a + b*x)^4), x)","F"
249,0,-1,361,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^4/((f + g*x)*(a*h + b*h*x)),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^4}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^4/((f + g*x)*(a*h + b*h*x)), x)","F"
250,0,-1,282,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/((f + g*x)*(a*h + b*h*x)),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/((f + g*x)*(a*h + b*h*x)), x)","F"
251,0,-1,203,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/((f + g*x)*(a*h + b*h*x)),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/((f + g*x)*(a*h + b*h*x)), x)","F"
252,0,-1,123,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/((f + g*x)*(a*h + b*h*x)),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/((f + g*x)*(a*h + b*h*x)), x)","F"
253,0,-1,82,0.000000,"\text{Not used}","int(1/((f + g*x)*(a*h + b*h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))),x)","\int \frac{1}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)*(a*h + b*h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))), x)","F"
254,0,-1,82,0.000000,"\text{Not used}","int(1/((f + g*x)*(a*h + b*h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2),x)","\int \frac{1}{\left(f+g\,x\right)\,\left(a\,h+b\,h\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2} \,d x","Not used",0,"int(1/((f + g*x)*(a*h + b*h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2), x)","F"
255,0,-1,33,0.000000,"\text{Not used}","int(log((c + d*x)/(a + b*x))/((h*(a - c) + h*x*(b - d))*(a + b*x)),x)","\int \frac{\ln\left(\frac{c+d\,x}{a+b\,x}\right)}{\left(h\,\left(a-c\right)+h\,x\,\left(b-d\right)\right)\,\left(a+b\,x\right)} \,d x","Not used",1,"int(log((c + d*x)/(a + b*x))/((h*(a - c) + h*x*(b - d))*(a + b*x)), x)","F"
256,0,-1,27,0.000000,"\text{Not used}","int(log((a - c*g + x*(b - d*g))/(a + b*x))/((a + b*x)*(c + d*x)),x)","\int \frac{\ln\left(\frac{a-c\,g+x\,\left(b-d\,g\right)}{a+b\,x}\right)}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(log((a - c*g + x*(b - d*g))/(a + b*x))/((a + b*x)*(c + d*x)), x)","F"
257,0,-1,27,0.000000,"\text{Not used}","int(log(1 - (g*(c + d*x))/(a + b*x))/((a + b*x)*(c + d*x)),x)","\int \frac{\ln\left(1-\frac{g\,\left(c+d\,x\right)}{a+b\,x}\right)}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(log(1 - (g*(c + d*x))/(a + b*x))/((a + b*x)*(c + d*x)), x)","F"
258,0,-1,27,0.000000,"\text{Not used}","int(log((a - c*g + b*x - d*g*x)/(a + b*x))/((a + b*x)*(c + d*x)),x)","\int \frac{\ln\left(\frac{a-c\,g+b\,x-d\,g\,x}{a+b\,x}\right)}{\left(a+b\,x\right)\,\left(c+d\,x\right)} \,d x","Not used",1,"int(log((a - c*g + b*x - d*g*x)/(a + b*x))/((a + b*x)*(c + d*x)), x)","F"
259,0,-1,282,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3}{h\,\left(a\,g\,x+b\,f\,x\right)+a\,f\,h+b\,g\,h\,x^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2), x)","F"
260,0,-1,203,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2}{h\,\left(a\,g\,x+b\,f\,x\right)+a\,f\,h+b\,g\,h\,x^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2), x)","F"
261,0,-1,123,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{h\,\left(a\,g\,x+b\,f\,x\right)+a\,f\,h+b\,g\,h\,x^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2), x)","F"
262,0,-1,83,0.000000,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2)),x)","\int \frac{1}{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)\,\left(h\,\left(a\,g\,x+b\,f\,x\right)+a\,f\,h+b\,g\,h\,x^2\right)} \,d x","Not used",0,"int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2)), x)","F"
263,0,-1,83,0.000000,"\text{Not used}","int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2)),x)","\int \frac{1}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2\,\left(h\,\left(a\,g\,x+b\,f\,x\right)+a\,f\,h+b\,g\,h\,x^2\right)} \,d x","Not used",0,"int(1/((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(h*(a*g*x + b*f*x) + a*f*h + b*g*h*x^2)), x)","F"