1,1,1046,188,4.547752,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}+\frac{a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}\right)-x^3\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,d}+\frac{A\,a\,b^3\,c\,g^4}{3\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a^4\,g^4\,x+2\,B\,a^3\,b\,g^4\,x^2+2\,B\,a^2\,b^2\,g^4\,x^3+B\,a\,b^3\,g^4\,x^4+\frac{B\,b^4\,g^4\,x^5}{5}\right)+x\,\left(\frac{a^3\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+2\,B\,a\,d\,n-2\,B\,b\,c\,n\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}+\frac{2\,a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{b\,d}\right)+x^4\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(5\,B\,n\,a^4\,c\,d^4\,g^4-10\,B\,n\,a^3\,b\,c^2\,d^3\,g^4+10\,B\,n\,a^2\,b^2\,c^3\,d^2\,g^4-5\,B\,n\,a\,b^3\,c^4\,d\,g^4+B\,n\,b^4\,c^5\,g^4\right)}{5\,d^5}+\frac{A\,b^4\,g^4\,x^5}{5}+\frac{B\,a^5\,g^4\,n\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"x^2*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c*g^4)/d))/(10*b*d) - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(2*b*d) + (a^2*b*g^4*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d) - x^3*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(15*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(3*d) + (A*a*b^3*c*g^4)/(3*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*b^4*g^4*x^5)/5 + B*a^4*g^4*x + 2*B*a^3*b*g^4*x^2 + B*a*b^3*g^4*x^4 + 2*B*a^2*b^2*g^4*x^3) + x*((a^3*g^4*(5*A*a*d + 10*A*b*c + 2*B*a*d*n - 2*B*b*c*n))/d - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c*g^4)/d))/(5*b*d) - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(b*d) + (2*a^2*b*g^4*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d))/(5*b*d) + (a*c*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c*g^4)/d))/(b*d)) + x^4*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(20*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(20*d)) - (log(c + d*x)*(B*b^4*c^5*g^4*n + 5*B*a^4*c*d^4*g^4*n - 5*B*a*b^3*c^4*d*g^4*n - 10*B*a^3*b*c^2*d^3*g^4*n + 10*B*a^2*b^2*c^3*d^2*g^4*n))/(5*d^5) + (A*b^4*g^4*x^5)/5 + (B*a^5*g^4*n*log(a + b*x))/(5*b)","B"
2,1,588,156,4.399139,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^3\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{12\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,d}\right)-x^2\,\left(\frac{\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,d}+\frac{A\,a\,b^2\,c\,g^3}{2\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,a^3\,g^3\,x+\frac{3\,B\,a^2\,b\,g^3\,x^2}{2}+B\,a\,b^2\,g^3\,x^3+\frac{B\,b^3\,g^3\,x^4}{4}\right)+x\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{d}\right)}{4\,b\,d}+\frac{a^2\,g^3\,\left(8\,A\,a\,d+12\,A\,b\,c+3\,B\,a\,d\,n-3\,B\,b\,c\,n\right)}{2\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{b\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,n\,a^3\,c\,d^3\,g^3+6\,B\,n\,a^2\,b\,c^2\,d^2\,g^3-4\,B\,n\,a\,b^2\,c^3\,d\,g^3+B\,n\,b^3\,c^4\,g^3\right)}{4\,d^4}+\frac{A\,b^3\,g^3\,x^4}{4}+\frac{B\,a^4\,g^3\,n\,\ln\left(a+b\,x\right)}{4\,b}","Not used",1,"x^3*((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(12*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(12*d)) - x^2*((((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(8*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(2*d) + (A*a*b^2*c*g^3)/(2*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*b^3*g^3*x^4)/4 + B*a^3*g^3*x + (3*B*a^2*b*g^3*x^2)/2 + B*a*b^2*g^3*x^3) + x*(((4*a*d + 4*b*c)*((((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(4*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^2*c*g^3)/d))/(4*b*d) + (a^2*g^3*(8*A*a*d + 12*A*b*c + 3*B*a*d*n - 3*B*b*c*n))/(2*d) - (a*c*((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d)))/(b*d)) + (log(c + d*x)*(B*b^3*c^4*g^3*n - 4*B*a^3*c*d^3*g^3*n - 4*B*a*b^2*c^3*d*g^3*n + 6*B*a^2*b*c^2*d^2*g^3*n))/(4*d^4) + (A*b^3*g^3*x^4)/4 + (B*a^4*g^3*n*log(a + b*x))/(4*b)","B"
3,1,303,124,4.284128,"\text{Not used}","int((a*g + b*g*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^2\,g^2\,x+B\,a\,b\,g^2\,x^2+\frac{B\,b^2\,g^2\,x^3}{3}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)}{3\,b\,d}-\frac{a\,g^2\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b\,c\,g^2}{d}\right)+x^2\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(3\,B\,n\,a^2\,c\,d^2\,g^2-3\,B\,n\,a\,b\,c^2\,d\,g^2+B\,n\,b^2\,c^3\,g^2\right)}{3\,d^3}+\frac{A\,b^2\,g^2\,x^3}{3}+\frac{B\,a^3\,g^2\,n\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"log(e*((a + b*x)/(c + d*x))^n)*((B*b^2*g^2*x^3)/3 + B*a^2*g^2*x + B*a*b*g^2*x^2) - x*(((3*a*d + 3*b*c)*((b*g^2*(9*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/(3*d) - (A*b*g^2*(3*a*d + 3*b*c))/(3*d)))/(3*b*d) - (a*g^2*(3*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b*c*g^2)/d) + x^2*((b*g^2*(9*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/(6*d) - (A*b*g^2*(3*a*d + 3*b*c))/(6*d)) - (log(c + d*x)*(B*b^2*c^3*g^2*n + 3*B*a^2*c*d^2*g^2*n - 3*B*a*b*c^2*d*g^2*n))/(3*d^3) + (A*b^2*g^2*x^3)/3 + (B*a^3*g^2*n*log(a + b*x))/(3*b)","B"
4,1,134,86,4.072612,"\text{Not used}","int((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{g\,\left(4\,A\,a\,d+2\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,d}-\frac{A\,g\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,b\,g\,x^2}{2}+B\,a\,g\,x\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^2\,g\,n-2\,B\,a\,c\,d\,g\,n\right)}{2\,d^2}+\frac{A\,b\,g\,x^2}{2}+\frac{B\,a^2\,g\,n\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"x*((g*(4*A*a*d + 2*A*b*c + B*a*d*n - B*b*c*n))/(2*d) - (A*g*(2*a*d + 2*b*c))/(2*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*b*g*x^2)/2 + B*a*g*x) + (log(c + d*x)*(B*b*c^2*g*n - 2*B*a*c*d*g*n))/(2*d^2) + (A*b*g*x^2)/2 + (B*a^2*g*n*log(a + b*x))/(2*b)","B"
5,0,-1,84,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(a*g + b*g*x),x)","\int \frac{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(a*g + b*g*x), x)","F"
6,1,112,67,5.654736,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(a*g + b*g*x)^2,x)","-\frac{A+B\,n}{x\,b^2\,g^2+a\,b\,g^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{b\,\left(a\,g^2+b\,g^2\,x\right)}-\frac{B\,d\,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}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- (A + B*n)/(b^2*g^2*x + a*b*g^2) - (B*log(e*((a + b*x)/(c + d*x))^n))/(b*(a*g^2 + b*g^2*x)) - (B*d*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(b*g^2*(a*d - b*c))","B"
7,1,222,151,4.521822,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(a*g + b*g*x)^3,x)","-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c+3\,B\,a\,d\,n-B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,n\,x}{a\,d-b\,c}}{2\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{2\,b\,\left(a^2\,g^3+2\,a\,b\,g^3\,x+b^2\,g^3\,x^2\right)}-\frac{B\,d^2\,n\,\mathrm{atanh}\left(\frac{2\,b^3\,c^2\,g^3-2\,a^2\,b\,d^2\,g^3}{2\,b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((2*A*a*d - 2*A*b*c + 3*B*a*d*n - B*b*c*n)/(2*(a*d - b*c)) + (B*b*d*n*x)/(a*d - b*c))/(2*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x) - (B*log(e*((a + b*x)/(c + d*x))^n))/(2*b*(a^2*g^3 + b^2*g^3*x^2 + 2*a*b*g^3*x)) - (B*d^2*n*atanh((2*b^3*c^2*g^3 - 2*a^2*b*d^2*g^3)/(2*b*g^3*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*g^3*(a*d - b*c)^2)","B"
8,1,349,183,4.845327,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(a*g + b*g*x)^4,x)","\frac{2\,A\,a\,c\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,c^2\,n}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{3\,b\,g^4\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,d^2\,n\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{7\,B\,a\,c\,d\,n}{18\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{11\,B\,a^2\,d^2\,n}{18\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{5\,B\,a\,d^2\,n\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{B\,b\,c\,d\,n\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,d^3\,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}}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(2*A*a*c*d)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*b*c^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*a^2*d^2)/(3*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*b*c^2*n)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*d^3*n*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(3*b*g^4*(a*d - b*c)^3) - (B*log(e*((a + b*x)/(c + d*x))^n))/(3*b*g^4*(a + b*x)^3) - (B*b*d^2*n*x^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (7*B*a*c*d*n)/(18*g^4*(a*d - b*c)^2*(a + b*x)^3) - (11*B*a^2*d^2*n)/(18*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (5*B*a*d^2*n*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3) + (B*b*c*d*n*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3)","B"
9,1,603,215,5.120919,"\text{Not used}","int((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^3-12\,A\,b^3\,c^3+25\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+36\,A\,a\,b^2\,c^2\,d-36\,A\,a^2\,b\,c\,d^2+13\,B\,a\,b^2\,c^2\,d\,n-23\,B\,a^2\,b\,c\,d^2\,n}{12\,\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\,\left(13\,B\,n\,a^2\,b\,d^2-5\,B\,n\,a\,b^2\,c\,d+B\,n\,b^3\,c^2\right)}{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^2\,x^2\,\left(B\,b^3\,c\,n-7\,B\,a\,b^2\,d\,n\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\,b^3\,d^3\,n\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{4\,a^4\,b\,g^5+16\,a^3\,b^2\,g^5\,x+24\,a^2\,b^3\,g^5\,x^2+16\,a\,b^4\,g^5\,x^3+4\,b^5\,g^5\,x^4}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{4\,b\,\left(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\right)}-\frac{B\,d^4\,n\,\mathrm{atanh}\left(\frac{-4\,a^4\,b\,d^4\,g^5+8\,a^3\,b^2\,c\,d^3\,g^5-8\,a\,b^4\,c^3\,d\,g^5+4\,b^5\,c^4\,g^5}{4\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{2\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"- ((12*A*a^3*d^3 - 12*A*b^3*c^3 + 25*B*a^3*d^3*n - 3*B*b^3*c^3*n + 36*A*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 + 13*B*a*b^2*c^2*d*n - 23*B*a^2*b*c*d^2*n)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d*x*(B*b^3*c^2*n + 13*B*a^2*b*d^2*n - 5*B*a*b^2*c*d*n))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d^2*x^2*(B*b^3*c*n - 7*B*a*b^2*d*n))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*b^3*d^3*n*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(4*a^4*b*g^5 + 4*b^5*g^5*x^4 + 16*a^3*b^2*g^5*x + 16*a*b^4*g^5*x^3 + 24*a^2*b^3*g^5*x^2) - (B*log(e*((a + b*x)/(c + d*x))^n))/(4*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*n*atanh((4*b^5*c^4*g^5 - 4*a^4*b*d^4*g^5 - 8*a*b^4*c^3*d*g^5 + 8*a^3*b^2*c*d^3*g^5)/(4*b*g^5*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(2*b*g^5*(a*d - b*c)^4)","B"
10,0,-1,396,0.000000,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^4\,{\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)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
11,0,-1,335,0.000000,"\text{Not used}","int((a*g + b*g*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(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*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
12,0,-1,274,0.000000,"\text{Not used}","int((a*g + b*g*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(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*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
13,0,-1,196,0.000000,"\text{Not used}","int((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \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 \,d x","Not used",1,"int((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
14,0,-1,138,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(a*g + b*g*x),x)","\int \frac{{\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((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(a*g + b*g*x), x)","F"
15,1,238,136,5.589554,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(a*g + b*g*x)^2,x)","-\frac{A^2+2\,A\,B\,n+2\,B^2\,n^2}{x\,b^2\,g^2+a\,b\,g^2}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{b\,\left(a\,g^2+b\,g^2\,x\right)}-\frac{B^2\,d}{b\,g^2\,\left(a\,d-b\,c\right)}\right)-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{2\,B^2\,n}{x\,b^2\,g^2+a\,b\,g^2}+\frac{2\,A\,B}{x\,b^2\,g^2+a\,b\,g^2}\right)-\frac{B\,d\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{c\,b^2\,g^2+a\,d\,b\,g^2}{b\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A+B\,n\right)\,4{}\mathrm{i}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- (A^2 + 2*B^2*n^2 + 2*A*B*n)/(b^2*g^2*x + a*b*g^2) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(b*(a*g^2 + b*g^2*x)) - (B^2*d)/(b*g^2*(a*d - b*c))) - log(e*((a + b*x)/(c + d*x))^n)*((2*B^2*n)/(b^2*g^2*x + a*b*g^2) + (2*A*B)/(b^2*g^2*x + a*b*g^2)) - (B*d*n*atan(((2*b*d*x + (b^2*c*g^2 + a*b*d*g^2)/(b*g^2))*1i)/(a*d - b*c))*(A + B*n)*4i)/(b*g^2*(a*d - b*c))","B"
16,1,506,288,6.170535,"\text{Not used}","int((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{B^2}{2\,b\,\left(a^2\,g^3+2\,a\,b\,g^3\,x+b^2\,g^3\,x^2\right)}-\frac{B^2\,d^2}{2\,b\,g^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+7\,B^2\,a\,d\,n^2-B^2\,b\,c\,n^2+6\,A\,B\,a\,d\,n-2\,A\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x\,\left(3\,b\,B^2\,n^2+2\,A\,b\,B\,n\right)}{a\,d-b\,c}}{2\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B}{a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2}+\frac{B^2\,d^2\,\left(\frac{b\,g^3\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}+\frac{b^2\,g^3\,n\,x\,\left(a\,d-b\,c\right)}{d}+\frac{a\,b\,g^3\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2\right)}\right)-\frac{B\,d^2\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{2\,b^3\,c^2\,g^3-2\,a^2\,b\,d^2\,g^3}{2\,b\,g^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}}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(2*b*(a^2*g^3 + b^2*g^3*x^2 + 2*a*b*g^3*x)) - (B^2*d^2)/(2*b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((2*A^2*a*d - 2*A^2*b*c + 7*B^2*a*d*n^2 - B^2*b*c*n^2 + 6*A*B*a*d*n - 2*A*B*b*c*n)/(2*(a*d - b*c)) + (d*x*(3*B^2*b*n^2 + 2*A*B*b*n))/(a*d - b*c))/(2*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x) - log(e*((a + b*x)/(c + d*x))^n)*((A*B)/(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x) + (B^2*d^2*((b*g^3*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2) + (b^2*g^3*n*x*(a*d - b*c))/d + (a*b*g^3*n*(a*d - b*c))/(2*d)))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x))) - (B*d^2*n*atan(((2*b*d*x - (2*b^3*c^2*g^3 - 2*a^2*b*d^2*g^3)/(2*b*g^3*(a*d - b*c)))*1i)/(a*d - b*c))*(2*A + 3*B*n)*1i)/(b*g^3*(a*d - b*c)^2)","B"
17,1,1038,448,7.692999,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(a*g + b*g*x)^4,x)","\frac{\frac{18\,A^2\,a^2\,d^2-36\,A^2\,a\,b\,c\,d+18\,A^2\,b^2\,c^2+66\,A\,B\,a^2\,d^2\,n-42\,A\,B\,a\,b\,c\,d\,n+12\,A\,B\,b^2\,c^2\,n+85\,B^2\,a^2\,d^2\,n^2-23\,B^2\,a\,b\,c\,d\,n^2+4\,B^2\,b^2\,c^2\,n^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-5\,c\,B^2\,b^2\,d\,n^2+49\,a\,B^2\,b\,d^2\,n^2-6\,A\,c\,B\,b^2\,d\,n+30\,A\,a\,B\,b\,d^2\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(11\,d\,B^2\,b^2\,n^2+6\,A\,d\,B\,b^2\,n\right)}{a\,d-b\,c}}{x\,\left(27\,a^2\,b^3\,c\,g^4-27\,a^3\,b^2\,d\,g^4\right)-x^2\,\left(27\,a^2\,b^3\,d\,g^4-27\,a\,b^4\,c\,g^4\right)+x^3\,\left(9\,b^5\,c\,g^4-9\,a\,b^4\,d\,g^4\right)+9\,a^3\,b^2\,c\,g^4-9\,a^4\,b\,d\,g^4}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{2\,A\,B}{3\,a^3\,b\,g^4+9\,a^2\,b^2\,g^4\,x+9\,a\,b^3\,g^4\,x^2+3\,b^4\,g^4\,x^3}+\frac{2\,B^2\,d^3\,\left(x\,\left(b\,\left(\frac{b\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,b\,g^4\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{2\,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)}{d^2}\right)+a\,\left(\frac{b\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,b\,g^4\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{b\,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}+\frac{3\,b^3\,g^4\,n\,x^2\,\left(a\,d-b\,c\right)}{d}\right)}{3\,b\,g^4\,\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(3\,a^3\,b\,g^4+9\,a^2\,b^2\,g^4\,x+9\,a\,b^3\,g^4\,x^2+3\,b^4\,g^4\,x^3\right)}\right)-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{3\,b\,\left(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\right)}-\frac{B^2\,d^3}{3\,b\,g^4\,\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\,d^3\,n\,\mathrm{atan}\left(\frac{B\,d^3\,n\,\left(6\,A+11\,B\,n\right)\,\left(\frac{a^3\,b\,d^3\,g^4-a^2\,b^2\,c\,d^2\,g^4-a\,b^3\,c^2\,d\,g^4+b^4\,c^3\,g^4}{a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4}+2\,b\,d\,x\right)\,\left(a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4\right)\,1{}\mathrm{i}}{b\,g^4\,\left(11\,B^2\,d^3\,n^2+6\,A\,B\,d^3\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(6\,A+11\,B\,n\right)\,2{}\mathrm{i}}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((18*A^2*a^2*d^2 + 18*A^2*b^2*c^2 + 85*B^2*a^2*d^2*n^2 + 4*B^2*b^2*c^2*n^2 - 36*A^2*a*b*c*d + 66*A*B*a^2*d^2*n + 12*A*B*b^2*c^2*n - 23*B^2*a*b*c*d*n^2 - 42*A*B*a*b*c*d*n)/(6*(a*d - b*c)) + (x*(49*B^2*a*b*d^2*n^2 - 5*B^2*b^2*c*d*n^2 + 30*A*B*a*b*d^2*n - 6*A*B*b^2*c*d*n))/(2*(a*d - b*c)) + (d*x^2*(11*B^2*b^2*d*n^2 + 6*A*B*b^2*d*n))/(a*d - b*c))/(x*(27*a^2*b^3*c*g^4 - 27*a^3*b^2*d*g^4) - x^2*(27*a^2*b^3*d*g^4 - 27*a*b^4*c*g^4) + x^3*(9*b^5*c*g^4 - 9*a*b^4*d*g^4) + 9*a^3*b^2*c*g^4 - 9*a^4*b*d*g^4) - log(e*((a + b*x)/(c + d*x))^n)*((2*A*B)/(3*a^3*b*g^4 + 3*b^4*g^4*x^3 + 9*a^2*b^2*g^4*x + 9*a*b^3*g^4*x^2) + (2*B^2*d^3*(x*(b*((b*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2) + (a*b*g^4*n*(a*d - b*c))/d) + (2*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))/d^2) + a*((b*g^4*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2) + (a*b*g^4*n*(a*d - b*c))/d) + (b*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*n*x^2*(a*d - b*c))/d))/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(3*a^3*b*g^4 + 3*b^4*g^4*x^3 + 9*a^2*b^2*g^4*x + 9*a*b^3*g^4*x^2))) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(3*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)/(3*b*g^4*(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*n*atan((B*d^3*n*(6*A + 11*B*n)*((b^4*c^3*g^4 + a^3*b*d^3*g^4 - a*b^3*c^2*d*g^4 - a^2*b^2*c*d^2*g^4)/(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4) + 2*b*d*x)*(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4)*1i)/(b*g^4*(11*B^2*d^3*n^2 + 6*A*B*d^3*n)*(a*d - b*c)^3))*(6*A + 11*B*n)*2i)/(9*b*g^4*(a*d - b*c)^3)","B"
18,1,1769,615,9.220740,"\text{Not used}","int((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\,B}{2\,a^4\,b\,g^5+8\,a^3\,b^2\,g^5\,x+12\,a^2\,b^3\,g^5\,x^2+8\,a\,b^4\,g^5\,x^3+2\,b^5\,g^5\,x^4}+\frac{B^2\,d^4\,\left(x\,\left(b\,\left(a\,\left(\frac{b\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{b\,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)}{6\,d^3}\right)+a\,\left(b\,\left(\frac{b\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,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)+a\,\left(a\,\left(\frac{b\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{b\,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)}{6\,d^3}\right)+x^2\,\left(b\,\left(b\,\left(\frac{b\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{a\,b^2\,g^5\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\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{2\,b^4\,g^5\,n\,x^3\,\left(a\,d-b\,c\right)}{d}+\frac{b\,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}\right)}{2\,b\,g^5\,\left(2\,a^4\,b\,g^5+8\,a^3\,b^2\,g^5\,x+12\,a^2\,b^3\,g^5\,x^2+8\,a\,b^4\,g^5\,x^3+2\,b^5\,g^5\,x^4\right)\,\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{72\,A^2\,a^3\,d^3-216\,A^2\,a^2\,b\,c\,d^2+216\,A^2\,a\,b^2\,c^2\,d-72\,A^2\,b^3\,c^3+300\,A\,B\,a^3\,d^3\,n-276\,A\,B\,a^2\,b\,c\,d^2\,n+156\,A\,B\,a\,b^2\,c^2\,d\,n-36\,A\,B\,b^3\,c^3\,n+415\,B^2\,a^3\,d^3\,n^2-161\,B^2\,a^2\,b\,c\,d^2\,n^2+55\,B^2\,a\,b^2\,c^2\,d\,n^2-9\,B^2\,b^3\,c^3\,n^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2\,n^2+163\,a\,B^2\,b^2\,d^3\,n^2-12\,A\,c\,B\,b^3\,d^2\,n+84\,A\,a\,B\,b^2\,d^3\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3\,n^2-53\,B^2\,a\,b^2\,c\,d^2\,n^2+7\,B^2\,b^3\,c^2\,d\,n^2+156\,A\,B\,a^2\,b\,d^3\,n-60\,A\,B\,a\,b^2\,c\,d^2\,n+12\,A\,B\,b^3\,c^2\,d\,n\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2\,n^2+12\,A\,B\,b^3\,d^2\,n\right)}{a\,d-b\,c}}{x\,\left(96\,a^5\,b^2\,d^2\,g^5-192\,a^4\,b^3\,c\,d\,g^5+96\,a^3\,b^4\,c^2\,g^5\right)+x^3\,\left(96\,a^3\,b^4\,d^2\,g^5-192\,a^2\,b^5\,c\,d\,g^5+96\,a\,b^6\,c^2\,g^5\right)+x^4\,\left(24\,a^2\,b^5\,d^2\,g^5-48\,a\,b^6\,c\,d\,g^5+24\,b^7\,c^2\,g^5\right)+x^2\,\left(144\,a^4\,b^3\,d^2\,g^5-288\,a^3\,b^4\,c\,d\,g^5+144\,a^2\,b^5\,c^2\,g^5\right)+24\,a^6\,b\,d^2\,g^5+24\,a^4\,b^3\,c^2\,g^5-48\,a^5\,b^2\,c\,d\,g^5}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{4\,b\,\left(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\right)}-\frac{B^2\,d^4}{4\,b\,g^5\,\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{B\,d^4\,n\,\mathrm{atan}\left(\frac{B\,d^4\,n\,\left(12\,A+25\,B\,n\right)\,\left(-24\,a^4\,b\,d^4\,g^5+48\,a^3\,b^2\,c\,d^3\,g^5-48\,a\,b^4\,c^3\,d\,g^5+24\,b^5\,c^4\,g^5\right)\,1{}\mathrm{i}}{24\,b\,g^5\,\left(25\,B^2\,d^4\,n^2+12\,A\,B\,d^4\,n\right)\,{\left(a\,d-b\,c\right)}^4}+\frac{B\,d^5\,n\,x\,\left(12\,A+25\,B\,n\right)\,\left(-a^3\,b\,d^3\,g^5+3\,a^2\,b^2\,c\,d^2\,g^5-3\,a\,b^3\,c^2\,d\,g^5+b^4\,c^3\,g^5\right)\,2{}\mathrm{i}}{g^5\,\left(25\,B^2\,d^4\,n^2+12\,A\,B\,d^4\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(12\,A+25\,B\,n\right)\,1{}\mathrm{i}}{12\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B*d^4*n*atan((B*d^4*n*(12*A + 25*B*n)*(24*b^5*c^4*g^5 - 24*a^4*b*d^4*g^5 - 48*a*b^4*c^3*d*g^5 + 48*a^3*b^2*c*d^3*g^5)*1i)/(24*b*g^5*(25*B^2*d^4*n^2 + 12*A*B*d^4*n)*(a*d - b*c)^4) + (B*d^5*n*x*(12*A + 25*B*n)*(b^4*c^3*g^5 - a^3*b*d^3*g^5 - 3*a*b^3*c^2*d*g^5 + 3*a^2*b^2*c*d^2*g^5)*2i)/(g^5*(25*B^2*d^4*n^2 + 12*A*B*d^4*n)*(a*d - b*c)^4))*(12*A + 25*B*n)*1i)/(12*b*g^5*(a*d - b*c)^4) - ((72*A^2*a^3*d^3 - 72*A^2*b^3*c^3 + 415*B^2*a^3*d^3*n^2 - 9*B^2*b^3*c^3*n^2 + 216*A^2*a*b^2*c^2*d - 216*A^2*a^2*b*c*d^2 + 300*A*B*a^3*d^3*n - 36*A*B*b^3*c^3*n + 55*B^2*a*b^2*c^2*d*n^2 - 161*B^2*a^2*b*c*d^2*n^2 + 156*A*B*a*b^2*c^2*d*n - 276*A*B*a^2*b*c*d^2*n)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3*n^2 - 13*B^2*b^3*c*d^2*n^2 + 84*A*B*a*b^2*d^3*n - 12*A*B*b^3*c*d^2*n))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3*n^2 + 7*B^2*b^3*c^2*d*n^2 - 53*B^2*a*b^2*c*d^2*n^2 + 156*A*B*a^2*b*d^3*n + 12*A*B*b^3*c^2*d*n - 60*A*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2*n^2 + 12*A*B*b^3*d^2*n))/(a*d - b*c))/(x*(96*a^3*b^4*c^2*g^5 + 96*a^5*b^2*d^2*g^5 - 192*a^4*b^3*c*d*g^5) + x^3*(96*a*b^6*c^2*g^5 + 96*a^3*b^4*d^2*g^5 - 192*a^2*b^5*c*d*g^5) + x^4*(24*b^7*c^2*g^5 + 24*a^2*b^5*d^2*g^5 - 48*a*b^6*c*d*g^5) + x^2*(144*a^2*b^5*c^2*g^5 + 144*a^4*b^3*d^2*g^5 - 288*a^3*b^4*c*d*g^5) + 24*a^6*b*d^2*g^5 + 24*a^4*b^3*c^2*g^5 - 48*a^5*b^2*c*d*g^5) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(4*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)/(4*b*g^5*(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))) - log(e*((a + b*x)/(c + d*x))^n)*((A*B)/(2*a^4*b*g^5 + 2*b^5*g^5*x^4 + 8*a^3*b^2*g^5*x + 8*a*b^4*g^5*x^3 + 12*a^2*b^3*g^5*x^2) + (B^2*d^4*(x*(b*(a*((b*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*g^5*n*(a*d - b*c))/(2*d)) + (b*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(6*d^3)) + a*(b*((b*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*g^5*n*(a*d - b*c))/(2*d)) + (a*b^2*g^5*n*(a*d - b*c))/d + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(3*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)) + a*(a*((b*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*g^5*n*(a*d - b*c))/(2*d)) + (b*g^5*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(6*d^3)) + x^2*(b*(b*((b*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*g^5*n*(a*d - b*c))/(2*d)) + (a*b^2*g^5*n*(a*d - b*c))/d + (b^2*g^5*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2)) + (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)) + (2*b^4*g^5*n*x^3*(a*d - b*c))/d + (b*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)))/(2*b*g^5*(2*a^4*b*g^5 + 2*b^5*g^5*x^4 + 8*a^3*b^2*g^5*x + 8*a*b^4*g^5*x^3 + 12*a^2*b^3*g^5*x^2)*(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"
19,0,-1,38,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
20,0,-1,36,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{a\,g+b\,g\,x}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
21,0,-1,38,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{\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)} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
22,0,-1,94,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\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)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
23,0,-1,197,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\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)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
24,0,-1,38,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^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} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
25,0,-1,36,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{a\,g+b\,g\,x}{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
26,0,-1,38,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{\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} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
27,0,-1,153,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\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} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
28,0,-1,314,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\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} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
29,1,1045,188,4.484007,"\text{Not used}","int((c*g + d*g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{c\,d^2\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}+\frac{A\,a\,c\,d^3\,g^4}{b}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)}{2\,b\,d}+\frac{c^2\,d\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}\right)-x^3\,\left(\frac{\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{c\,d^2\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,b}+\frac{A\,a\,c\,d^3\,g^4}{3\,b}\right)+x^4\,\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,b}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,c^4\,g^4\,x+2\,B\,c^3\,d\,g^4\,x^2+2\,B\,c^2\,d^2\,g^4\,x^3+B\,c\,d^3\,g^4\,x^4+\frac{B\,d^4\,g^4\,x^5}{5}\right)+x\,\left(\frac{c^3\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d\,n-2\,B\,b\,c\,n\right)}{b}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{c\,d^2\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}+\frac{A\,a\,c\,d^3\,g^4}{b}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)}{b\,d}+\frac{2\,c^2\,d\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{d^3\,g^4\,\left(5\,A\,a\,d+25\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,b}-\frac{A\,d^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{c\,d^2\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{b}+\frac{A\,a\,c\,d^3\,g^4}{b}\right)}{b\,d}\right)+\frac{\ln\left(a+b\,x\right)\,\left(\frac{B\,n\,a^5\,d^4\,g^4}{5}-B\,n\,a^4\,b\,c\,d^3\,g^4+2\,B\,n\,a^3\,b^2\,c^2\,d^2\,g^4-2\,B\,n\,a^2\,b^3\,c^3\,d\,g^4+B\,n\,a\,b^4\,c^4\,g^4\right)}{b^5}+\frac{A\,d^4\,g^4\,x^5}{5}-\frac{B\,c^5\,g^4\,n\,\ln\left(c+d\,x\right)}{5\,d}","Not used",1,"x^2*(((5*a*d + 5*b*c)*((((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b))*(5*a*d + 5*b*c))/(5*b*d) - (c*d^2*g^4*(5*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d^3*g^4)/b))/(10*b*d) - (a*c*((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b)))/(2*b*d) + (c^2*d*g^4*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/b) - x^3*((((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b))*(5*a*d + 5*b*c))/(15*b*d) - (c*d^2*g^4*(5*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/(3*b) + (A*a*c*d^3*g^4)/(3*b)) + x^4*((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(20*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(20*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*d^4*g^4*x^5)/5 + B*c^4*g^4*x + 2*B*c^3*d*g^4*x^2 + B*c*d^3*g^4*x^4 + 2*B*c^2*d^2*g^4*x^3) + x*((c^3*g^4*(10*A*a*d + 5*A*b*c + 2*B*a*d*n - 2*B*b*c*n))/b - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b))*(5*a*d + 5*b*c))/(5*b*d) - (c*d^2*g^4*(5*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d^3*g^4)/b))/(5*b*d) - (a*c*((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b)))/(b*d) + (2*c^2*d*g^4*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/b))/(5*b*d) + (a*c*((((d^3*g^4*(5*A*a*d + 25*A*b*c + B*a*d*n - B*b*c*n))/(5*b) - (A*d^3*g^4*(5*a*d + 5*b*c))/(5*b))*(5*a*d + 5*b*c))/(5*b*d) - (c*d^2*g^4*(5*A*a*d + 10*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d^3*g^4)/b))/(b*d)) + (log(a + b*x)*((B*a^5*d^4*g^4*n)/5 + B*a*b^4*c^4*g^4*n - B*a^4*b*c*d^3*g^4*n - 2*B*a^2*b^3*c^3*d*g^4*n + 2*B*a^3*b^2*c^2*d^2*g^4*n))/b^5 + (A*d^4*g^4*x^5)/5 - (B*c^5*g^4*n*log(c + d*x))/(5*d)","B"
30,1,588,156,4.367287,"\text{Not used}","int((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^3\,\left(\frac{d^2\,g^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\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b}\right)-x^2\,\left(\frac{\left(\frac{d^2\,g^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\,g^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\,g^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\,g^3}{2\,b}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,c^3\,g^3\,x+\frac{3\,B\,c^2\,d\,g^3\,x^2}{2}+B\,c\,d^2\,g^3\,x^3+\frac{B\,d^3\,g^3\,x^4}{4}\right)+x\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{d^2\,g^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\,g^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\,g^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\,g^3}{b}\right)}{4\,b\,d}+\frac{c^2\,g^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\,g^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\,g^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\,g^3-4\,B\,n\,a^3\,b\,c\,d^2\,g^3+6\,B\,n\,a^2\,b^2\,c^2\,d\,g^3-4\,B\,n\,a\,b^3\,c^3\,g^3\right)}{4\,b^4}+\frac{A\,d^3\,g^3\,x^4}{4}-\frac{B\,c^4\,g^3\,n\,\ln\left(c+d\,x\right)}{4\,d}","Not used",1,"x^3*((d^2*g^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(12*b) - (A*d^2*g^3*(4*a*d + 4*b*c))/(12*b)) - x^2*((((d^2*g^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*g^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(8*b*d) - (c*d*g^3*(4*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/(2*b) + (A*a*c*d^2*g^3)/(2*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*d^3*g^3*x^4)/4 + B*c^3*g^3*x + (3*B*c^2*d*g^3*x^2)/2 + B*c*d^2*g^3*x^3) + x*(((4*a*d + 4*b*c)*((((d^2*g^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*g^3*(4*a*d + 4*b*c))/(4*b))*(4*a*d + 4*b*c))/(4*b*d) - (c*d*g^3*(4*A*a*d + 6*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d^2*g^3)/b))/(4*b*d) + (c^2*g^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*g^3*(4*A*a*d + 16*A*b*c + B*a*d*n - B*b*c*n))/(4*b) - (A*d^2*g^3*(4*a*d + 4*b*c))/(4*b)))/(b*d)) - (log(a + b*x)*(B*a^4*d^3*g^3*n - 4*B*a*b^3*c^3*g^3*n - 4*B*a^3*b*c*d^2*g^3*n + 6*B*a^2*b^2*c^2*d*g^3*n))/(4*b^4) + (A*d^3*g^3*x^4)/4 - (B*c^4*g^3*n*log(c + d*x))/(4*d)","B"
31,1,303,124,4.306877,"\text{Not used}","int((c*g + d*g*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\,g^2\,x+B\,c\,d\,g^2\,x^2+\frac{B\,d^2\,g^2\,x^3}{3}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{d\,g^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,b}-\frac{A\,d\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b}\right)}{3\,b\,d}-\frac{c\,g^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\,g^2}{b}\right)+x^2\,\left(\frac{d\,g^2\,\left(3\,A\,a\,d+9\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6\,b}-\frac{A\,d\,g^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\,g^2-3\,B\,n\,a^2\,b\,c\,d\,g^2+3\,B\,n\,a\,b^2\,c^2\,g^2\right)}{3\,b^3}+\frac{A\,d^2\,g^2\,x^3}{3}-\frac{B\,c^3\,g^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*g^2*x^3)/3 + B*c^2*g^2*x + B*c*d*g^2*x^2) - x*(((3*a*d + 3*b*c)*((d*g^2*(3*A*a*d + 9*A*b*c + B*a*d*n - B*b*c*n))/(3*b) - (A*d*g^2*(3*a*d + 3*b*c))/(3*b)))/(3*b*d) - (c*g^2*(3*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/b + (A*a*c*d*g^2)/b) + x^2*((d*g^2*(3*A*a*d + 9*A*b*c + B*a*d*n - B*b*c*n))/(6*b) - (A*d*g^2*(3*a*d + 3*b*c))/(6*b)) + (log(a + b*x)*(B*a^3*d^2*g^2*n + 3*B*a*b^2*c^2*g^2*n - 3*B*a^2*b*c*d*g^2*n))/(3*b^3) + (A*d^2*g^2*x^3)/3 - (B*c^3*g^2*n*log(c + d*x))/(3*d)","B"
32,1,134,86,4.098367,"\text{Not used}","int((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{g\,\left(2\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,b}-\frac{A\,g\,\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\,g\,x^2}{2}+B\,c\,g\,x\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,d\,g\,n-2\,B\,a\,b\,c\,g\,n\right)}{2\,b^2}+\frac{A\,d\,g\,x^2}{2}-\frac{B\,c^2\,g\,n\,\ln\left(c+d\,x\right)}{2\,d}","Not used",1,"x*((g*(2*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(2*b) - (A*g*(2*a*d + 2*b*c))/(2*b)) + log(e*((a + b*x)/(c + d*x))^n)*((B*d*g*x^2)/2 + B*c*g*x) - (log(a + b*x)*(B*a^2*d*g*n - 2*B*a*b*c*g*n))/(2*b^2) + (A*d*g*x^2)/2 - (B*c^2*g*n*log(c + d*x))/(2*d)","B"
33,0,-1,80,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x),x)","\int \frac{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{c\,g+d\,g\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x), x)","F"
34,1,113,102,4.017484,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x)^2,x)","-\frac{A-B\,n}{x\,d^2\,g^2+c\,d\,g^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{d\,\left(c\,g^2+d\,g^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\,g^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*g^2*(a*d - b*c)) - (B*log(e*((a + b*x)/(c + d*x))^n))/(d*(c*g^2 + d*g^2*x)) - (A - B*n)/(d^2*g^2*x + c*d*g^2)","B"
35,1,221,151,4.550615,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x)^3,x)","\frac{B\,b^2\,n\,\mathrm{atanh}\left(\frac{2\,a^2\,d^3\,g^3-2\,b^2\,c^2\,d\,g^3}{2\,d\,g^3\,{\left(a\,d-b\,c\right)}^2}+\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{d\,g^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\,g^3+2\,c\,d\,g^3\,x+d^2\,g^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\,g^3+4\,c\,d^2\,g^3\,x+2\,d^3\,g^3\,x^2}","Not used",1,"(B*b^2*n*atanh((2*a^2*d^3*g^3 - 2*b^2*c^2*d*g^3)/(2*d*g^3*(a*d - b*c)^2) + (2*b*d*x)/(a*d - b*c)))/(d*g^3*(a*d - b*c)^2) - (B*log(e*((a + b*x)/(c + d*x))^n))/(2*d*(c^2*g^3 + d^2*g^3*x^2 + 2*c*d*g^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*g^3 + 2*d^3*g^3*x^2 + 4*c*d^2*g^3*x)","B"
36,1,349,183,4.722698,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x)^4,x)","\frac{B\,a^2\,d\,n}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{A\,a^2\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{A\,b^2\,c^2}{3\,d\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{3\,d\,g^4\,{\left(c+d\,x\right)}^3}+\frac{2\,A\,a\,b\,c}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}+\frac{B\,b^2\,d\,n\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{7\,B\,a\,b\,c\,n}{18\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}+\frac{11\,B\,b^2\,c^2\,n}{18\,d\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}+\frac{5\,B\,b^2\,c\,n\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{B\,a\,b\,d\,n\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(c+d\,x\right)}^3}+\frac{B\,b^3\,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}}{3\,d\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(B*a^2*d*n)/(9*g^4*(a*d - b*c)^2*(c + d*x)^3) - (A*a^2*d)/(3*g^4*(a*d - b*c)^2*(c + d*x)^3) - (A*b^2*c^2)/(3*d*g^4*(a*d - b*c)^2*(c + d*x)^3) - (B*log(e*((a + b*x)/(c + d*x))^n))/(3*d*g^4*(c + d*x)^3) + (B*b^3*n*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(3*d*g^4*(a*d - b*c)^3) + (2*A*a*b*c)/(3*g^4*(a*d - b*c)^2*(c + d*x)^3) + (B*b^2*d*n*x^2)/(3*g^4*(a*d - b*c)^2*(c + d*x)^3) - (7*B*a*b*c*n)/(18*g^4*(a*d - b*c)^2*(c + d*x)^3) + (11*B*b^2*c^2*n)/(18*d*g^4*(a*d - b*c)^2*(c + d*x)^3) + (5*B*b^2*c*n*x)/(6*g^4*(a*d - b*c)^2*(c + d*x)^3) - (B*a*b*d*n*x)/(6*g^4*(a*d - b*c)^2*(c + d*x)^3)","B"
37,1,603,215,4.985482,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(c*g + d*g*x)^5,x)","\frac{B\,b^4\,n\,\mathrm{atanh}\left(\frac{4\,a^4\,d^5\,g^5-8\,a^3\,b\,c\,d^4\,g^5+8\,a\,b^3\,c^3\,d^2\,g^5-4\,b^4\,c^4\,d\,g^5}{4\,d\,g^5\,{\left(a\,d-b\,c\right)}^4}+\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{2\,d\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{4\,d\,\left(c^4\,g^5+4\,c^3\,d\,g^5\,x+6\,c^2\,d^2\,g^5\,x^2+4\,c\,d^3\,g^5\,x^3+d^4\,g^5\,x^4\right)}-\frac{\frac{12\,A\,a^3\,d^3-12\,A\,b^3\,c^3-3\,B\,a^3\,d^3\,n+25\,B\,b^3\,c^3\,n+36\,A\,a\,b^2\,c^2\,d-36\,A\,a^2\,b\,c\,d^2-23\,B\,a\,b^2\,c^2\,d\,n+13\,B\,a^2\,b\,c\,d^2\,n}{12\,\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(B\,n\,a^2\,d^3-5\,B\,n\,a\,b\,c\,d^2+13\,B\,n\,b^2\,c^2\,d\right)}{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^2\,\left(B\,a\,d^3\,n-7\,B\,b\,c\,d^2\,n\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\,b^3\,d^3\,n\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{4\,c^4\,d\,g^5+16\,c^3\,d^2\,g^5\,x+24\,c^2\,d^3\,g^5\,x^2+16\,c\,d^4\,g^5\,x^3+4\,d^5\,g^5\,x^4}","Not used",1,"(B*b^4*n*atanh((4*a^4*d^5*g^5 - 4*b^4*c^4*d*g^5 - 8*a^3*b*c*d^4*g^5 + 8*a*b^3*c^3*d^2*g^5)/(4*d*g^5*(a*d - b*c)^4) + (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(2*d*g^5*(a*d - b*c)^4) - (B*log(e*((a + b*x)/(c + d*x))^n))/(4*d*(c^4*g^5 + d^4*g^5*x^4 + 4*c*d^3*g^5*x^3 + 6*c^2*d^2*g^5*x^2 + 4*c^3*d*g^5*x)) - ((12*A*a^3*d^3 - 12*A*b^3*c^3 - 3*B*a^3*d^3*n + 25*B*b^3*c^3*n + 36*A*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 - 23*B*a*b^2*c^2*d*n + 13*B*a^2*b*c*d^2*n)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (b*x*(B*a^2*d^3*n + 13*B*b^2*c^2*d*n - 5*B*a*b*c*d^2*n))/(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^2*(B*a*d^3*n - 7*B*b*c*d^2*n))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*b^3*d^3*n*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(4*c^4*d*g^5 + 4*d^5*g^5*x^4 + 16*c^3*d^2*g^5*x + 16*c*d^4*g^5*x^3 + 24*c^2*d^3*g^5*x^2)","B"
38,0,-1,544,0.000000,"\text{Not used}","int((c*g + d*g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(c\,g+d\,g\,x\right)}^4\,{\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*g + d*g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
39,0,-1,454,0.000000,"\text{Not used}","int((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(c\,g+d\,g\,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*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
40,0,-1,361,0.000000,"\text{Not used}","int((c*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(c\,g+d\,g\,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*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
41,0,-1,220,0.000000,"\text{Not used}","int((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(c\,g+d\,g\,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*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
42,0,-1,137,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*x),x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{c\,g+d\,g\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*x), x)","F"
43,1,237,163,5.648531,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*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\,g^2+c\,d\,g^2}-\frac{2\,A\,B}{x\,d^2\,g^2+c\,d\,g^2}\right)-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{d\,\left(c\,g^2+d\,g^2\,x\right)}+\frac{B^2\,b}{d\,g^2\,\left(a\,d-b\,c\right)}\right)-\frac{A^2-2\,A\,B\,n+2\,B^2\,n^2}{x\,d^2\,g^2+c\,d\,g^2}+\frac{B\,b\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{a\,d^2\,g^2+b\,c\,d\,g^2}{d\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-B\,n\right)\,4{}\mathrm{i}}{d\,g^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*g^2*x + c*d*g^2) - (2*A*B)/(d^2*g^2*x + c*d*g^2)) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(d*(c*g^2 + d*g^2*x)) + (B^2*b)/(d*g^2*(a*d - b*c))) - (A^2 + 2*B^2*n^2 - 2*A*B*n)/(d^2*g^2*x + c*d*g^2) + (B*b*n*atan(((2*b*d*x + (a*d^2*g^2 + b*c*d*g^2)/(d*g^2))*1i)/(a*d - b*c))*(A - B*n)*4i)/(d*g^2*(a*d - b*c))","B"
44,1,505,317,5.466803,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*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\,g^3+2\,c\,d\,g^3\,x+d^2\,g^3\,x^2\right)}-\frac{B^2\,b^2}{2\,d\,g^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\,g^3+4\,c\,d^2\,g^3\,x+2\,d^3\,g^3\,x^2}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B}{c^2\,d\,g^3+2\,c\,d^2\,g^3\,x+d^3\,g^3\,x^2}+\frac{B^2\,b^2\,\left(\frac{d^2\,g^3\,n\,x\,\left(a\,d-b\,c\right)}{b}-\frac{d\,g^3\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-2\,b\,c\right)}{2\,b^2}+\frac{c\,d\,g^3\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)}{d\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(c^2\,d\,g^3+2\,c\,d^2\,g^3\,x+d^3\,g^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\,g^3-2\,b^2\,c^2\,d\,g^3}{2\,d\,g^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\,g^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*g^3 + d^2*g^3*x^2 + 2*c*d*g^3*x)) - (B^2*b^2)/(2*d*g^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*g^3 + 2*d^3*g^3*x^2 + 4*c*d^2*g^3*x) - log(e*((a + b*x)/(c + d*x))^n)*((A*B)/(c^2*d*g^3 + d^3*g^3*x^2 + 2*c*d^2*g^3*x) + (B^2*b^2*((d^2*g^3*n*x*(a*d - b*c))/b - (d*g^3*n*(a*d - b*c)*(a*d - 2*b*c))/(2*b^2) + (c*d*g^3*n*(a*d - b*c))/(2*b)))/(d*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(c^2*d*g^3 + d^3*g^3*x^2 + 2*c*d^2*g^3*x))) - (B*b^2*n*atan(((2*b*d*x + (2*a^2*d^3*g^3 - 2*b^2*c^2*d*g^3)/(2*d*g^3*(a*d - b*c)))*1i)/(a*d - b*c))*(2*A - 3*B*n)*1i)/(d*g^3*(a*d - b*c)^2)","B"
45,1,1040,429,7.162134,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*x)^4,x)","-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{3\,d\,\left(c^3\,g^4+3\,c^2\,d\,g^4\,x+3\,c\,d^2\,g^4\,x^2+d^3\,g^4\,x^3\right)}+\frac{B^2\,b^3}{3\,d\,g^4\,\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{18\,A^2\,a^2\,d^2-36\,A^2\,a\,b\,c\,d+18\,A^2\,b^2\,c^2-12\,A\,B\,a^2\,d^2\,n+42\,A\,B\,a\,b\,c\,d\,n-66\,A\,B\,b^2\,c^2\,n+4\,B^2\,a^2\,d^2\,n^2-23\,B^2\,a\,b\,c\,d\,n^2+85\,B^2\,b^2\,c^2\,n^2}{6\,\left(a\,d-b\,c\right)}-\frac{x\,\left(-49\,c\,B^2\,b^2\,d\,n^2+5\,a\,B^2\,b\,d^2\,n^2+30\,A\,c\,B\,b^2\,d\,n-6\,A\,a\,B\,b\,d^2\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{b\,x^2\,\left(11\,B^2\,b\,d^2\,n^2-6\,A\,B\,b\,d^2\,n\right)}{a\,d-b\,c}}{x\,\left(27\,a\,c^2\,d^3\,g^4-27\,b\,c^3\,d^2\,g^4\right)-x^2\,\left(27\,b\,c^2\,d^3\,g^4-27\,a\,c\,d^4\,g^4\right)+x^3\,\left(9\,a\,d^5\,g^4-9\,b\,c\,d^4\,g^4\right)+9\,a\,c^3\,d^2\,g^4-9\,b\,c^4\,d\,g^4}-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{2\,A\,B}{3\,c^3\,d\,g^4+9\,c^2\,d^2\,g^4\,x+9\,c\,d^3\,g^4\,x^2+3\,d^4\,g^4\,x^3}+\frac{2\,B^2\,b^3\,\left(x\,\left(d\,\left(\frac{d\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-3\,b\,c\right)}{2\,b^2}-\frac{c\,d\,g^4\,n\,\left(a\,d-b\,c\right)}{b}\right)-\frac{2\,c\,d^2\,g^4\,n\,\left(a\,d-b\,c\right)}{b}+\frac{d^2\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-3\,b\,c\right)}{b^2}\right)+c\,\left(\frac{d\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-3\,b\,c\right)}{2\,b^2}-\frac{c\,d\,g^4\,n\,\left(a\,d-b\,c\right)}{b}\right)-\frac{d\,g^4\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-3\,a\,b\,c\,d+3\,b^2\,c^2\right)}{b^3}-\frac{3\,d^3\,g^4\,n\,x^2\,\left(a\,d-b\,c\right)}{b}\right)}{3\,d\,g^4\,\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(3\,c^3\,d\,g^4+9\,c^2\,d^2\,g^4\,x+9\,c\,d^3\,g^4\,x^2+3\,d^4\,g^4\,x^3\right)}\right)-\frac{B\,b^3\,n\,\mathrm{atan}\left(\frac{B\,b^3\,n\,\left(6\,A-11\,B\,n\right)\,\left(\frac{a^3\,d^4\,g^4-a^2\,b\,c\,d^3\,g^4-a\,b^2\,c^2\,d^2\,g^4+b^3\,c^3\,d\,g^4}{a^2\,d^3\,g^4-2\,a\,b\,c\,d^2\,g^4+b^2\,c^2\,d\,g^4}+2\,b\,d\,x\right)\,\left(a^2\,d^3\,g^4-2\,a\,b\,c\,d^2\,g^4+b^2\,c^2\,d\,g^4\right)\,1{}\mathrm{i}}{d\,g^4\,\left(11\,B^2\,b^3\,n^2-6\,A\,B\,b^3\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(6\,A-11\,B\,n\right)\,2{}\mathrm{i}}{9\,d\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"- log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(3*d*(c^3*g^4 + d^3*g^4*x^3 + 3*c*d^2*g^4*x^2 + 3*c^2*d*g^4*x)) + (B^2*b^3)/(3*d*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - ((18*A^2*a^2*d^2 + 18*A^2*b^2*c^2 + 4*B^2*a^2*d^2*n^2 + 85*B^2*b^2*c^2*n^2 - 36*A^2*a*b*c*d - 12*A*B*a^2*d^2*n - 66*A*B*b^2*c^2*n - 23*B^2*a*b*c*d*n^2 + 42*A*B*a*b*c*d*n)/(6*(a*d - b*c)) - (x*(5*B^2*a*b*d^2*n^2 - 49*B^2*b^2*c*d*n^2 - 6*A*B*a*b*d^2*n + 30*A*B*b^2*c*d*n))/(2*(a*d - b*c)) + (b*x^2*(11*B^2*b*d^2*n^2 - 6*A*B*b*d^2*n))/(a*d - b*c))/(x*(27*a*c^2*d^3*g^4 - 27*b*c^3*d^2*g^4) - x^2*(27*b*c^2*d^3*g^4 - 27*a*c*d^4*g^4) + x^3*(9*a*d^5*g^4 - 9*b*c*d^4*g^4) + 9*a*c^3*d^2*g^4 - 9*b*c^4*d*g^4) - log(e*((a + b*x)/(c + d*x))^n)*((2*A*B)/(3*c^3*d*g^4 + 3*d^4*g^4*x^3 + 9*c^2*d^2*g^4*x + 9*c*d^3*g^4*x^2) + (2*B^2*b^3*(x*(d*((d*g^4*n*(a*d - b*c)*(a*d - 3*b*c))/(2*b^2) - (c*d*g^4*n*(a*d - b*c))/b) - (2*c*d^2*g^4*n*(a*d - b*c))/b + (d^2*g^4*n*(a*d - b*c)*(a*d - 3*b*c))/b^2) + c*((d*g^4*n*(a*d - b*c)*(a*d - 3*b*c))/(2*b^2) - (c*d*g^4*n*(a*d - b*c))/b) - (d*g^4*n*(a*d - b*c)*(a^2*d^2 + 3*b^2*c^2 - 3*a*b*c*d))/b^3 - (3*d^3*g^4*n*x^2*(a*d - b*c))/b))/(3*d*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(3*c^3*d*g^4 + 3*d^4*g^4*x^3 + 9*c^2*d^2*g^4*x + 9*c*d^3*g^4*x^2))) - (B*b^3*n*atan((B*b^3*n*(6*A - 11*B*n)*((a^3*d^4*g^4 + b^3*c^3*d*g^4 - a^2*b*c*d^3*g^4 - a*b^2*c^2*d^2*g^4)/(a^2*d^3*g^4 + b^2*c^2*d*g^4 - 2*a*b*c*d^2*g^4) + 2*b*d*x)*(a^2*d^3*g^4 + b^2*c^2*d*g^4 - 2*a*b*c*d^2*g^4)*1i)/(d*g^4*(11*B^2*b^3*n^2 - 6*A*B*b^3*n)*(a*d - b*c)^3))*(6*A - 11*B*n)*2i)/(9*d*g^4*(a*d - b*c)^3)","B"
46,1,1765,536,9.080964,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(c*g + d*g*x)^5,x)","-\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{A\,B}{2\,c^4\,d\,g^5+8\,c^3\,d^2\,g^5\,x+12\,c^2\,d^3\,g^5\,x^2+8\,c\,d^4\,g^5\,x^3+2\,d^5\,g^5\,x^4}-\frac{B^2\,b^4\,\left(x\,\left(d\,\left(c\,\left(\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{6\,b^2}-\frac{c\,d\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)-\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-4\,a\,b\,c\,d+6\,b^2\,c^2\right)}{6\,b^3}\right)+c\,\left(d\,\left(\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{6\,b^2}-\frac{c\,d\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)-\frac{c\,d^2\,g^5\,n\,\left(a\,d-b\,c\right)}{b}+\frac{d^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{3\,b^2}\right)-\frac{d^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-4\,a\,b\,c\,d+6\,b^2\,c^2\right)}{2\,b^3}\right)+c\,\left(c\,\left(\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{6\,b^2}-\frac{c\,d\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)-\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a^2\,d^2-4\,a\,b\,c\,d+6\,b^2\,c^2\right)}{6\,b^3}\right)+x^2\,\left(d\,\left(d\,\left(\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{6\,b^2}-\frac{c\,d\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,b}\right)-\frac{c\,d^2\,g^5\,n\,\left(a\,d-b\,c\right)}{b}+\frac{d^2\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{3\,b^2}\right)-\frac{3\,c\,d^3\,g^5\,n\,\left(a\,d-b\,c\right)}{2\,b}+\frac{d^3\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a\,d-4\,b\,c\right)}{2\,b^2}\right)-\frac{2\,d^4\,g^5\,n\,x^3\,\left(a\,d-b\,c\right)}{b}+\frac{d\,g^5\,n\,\left(a\,d-b\,c\right)\,\left(a^3\,d^3-4\,a^2\,b\,c\,d^2+6\,a\,b^2\,c^2\,d-4\,b^3\,c^3\right)}{2\,b^4}\right)}{2\,d\,g^5\,\left(2\,c^4\,d\,g^5+8\,c^3\,d^2\,g^5\,x+12\,c^2\,d^3\,g^5\,x^2+8\,c\,d^4\,g^5\,x^3+2\,d^5\,g^5\,x^4\right)\,\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{72\,A^2\,a^3\,d^3-216\,A^2\,a^2\,b\,c\,d^2+216\,A^2\,a\,b^2\,c^2\,d-72\,A^2\,b^3\,c^3-36\,A\,B\,a^3\,d^3\,n+156\,A\,B\,a^2\,b\,c\,d^2\,n-276\,A\,B\,a\,b^2\,c^2\,d\,n+300\,A\,B\,b^3\,c^3\,n+9\,B^2\,a^3\,d^3\,n^2-55\,B^2\,a^2\,b\,c\,d^2\,n^2+161\,B^2\,a\,b^2\,c^2\,d\,n^2-415\,B^2\,b^3\,c^3\,n^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-163\,c\,B^2\,b^3\,d^2\,n^2+13\,a\,B^2\,b^2\,d^3\,n^2+84\,A\,c\,B\,b^3\,d^2\,n-12\,A\,a\,B\,b^2\,d^3\,n\right)}{2\,\left(a\,d-b\,c\right)}-\frac{x\,\left(7\,B^2\,a^2\,b\,d^3\,n^2-53\,B^2\,a\,b^2\,c\,d^2\,n^2+271\,B^2\,b^3\,c^2\,d\,n^2-12\,A\,B\,a^2\,b\,d^3\,n+60\,A\,B\,a\,b^2\,c\,d^2\,n-156\,A\,B\,b^3\,c^2\,d\,n\right)}{3\,\left(a\,d-b\,c\right)}-\frac{b\,x^3\,\left(25\,B^2\,b^2\,d^3\,n^2-12\,A\,B\,b^2\,d^3\,n\right)}{a\,d-b\,c}}{x\,\left(96\,a^2\,c^3\,d^4\,g^5-192\,a\,b\,c^4\,d^3\,g^5+96\,b^2\,c^5\,d^2\,g^5\right)+x^3\,\left(96\,a^2\,c\,d^6\,g^5-192\,a\,b\,c^2\,d^5\,g^5+96\,b^2\,c^3\,d^4\,g^5\right)+x^4\,\left(24\,a^2\,d^7\,g^5-48\,a\,b\,c\,d^6\,g^5+24\,b^2\,c^2\,d^5\,g^5\right)+x^2\,\left(144\,a^2\,c^2\,d^5\,g^5-288\,a\,b\,c^3\,d^4\,g^5+144\,b^2\,c^4\,d^3\,g^5\right)+24\,b^2\,c^6\,d\,g^5+24\,a^2\,c^4\,d^3\,g^5-48\,a\,b\,c^5\,d^2\,g^5}-{\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}^2\,\left(\frac{B^2}{4\,d\,\left(c^4\,g^5+4\,c^3\,d\,g^5\,x+6\,c^2\,d^2\,g^5\,x^2+4\,c\,d^3\,g^5\,x^3+d^4\,g^5\,x^4\right)}-\frac{B^2\,b^4}{4\,d\,g^5\,\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{B\,b^4\,n\,\mathrm{atan}\left(\frac{B\,b^4\,n\,\left(12\,A-25\,B\,n\right)\,\left(24\,a^4\,d^5\,g^5-48\,a^3\,b\,c\,d^4\,g^5+48\,a\,b^3\,c^3\,d^2\,g^5-24\,b^4\,c^4\,d\,g^5\right)\,1{}\mathrm{i}}{24\,d\,g^5\,\left(25\,B^2\,b^4\,n^2-12\,A\,B\,b^4\,n\right)\,{\left(a\,d-b\,c\right)}^4}+\frac{B\,b^5\,n\,x\,\left(12\,A-25\,B\,n\right)\,\left(a^3\,d^4\,g^5-3\,a^2\,b\,c\,d^3\,g^5+3\,a\,b^2\,c^2\,d^2\,g^5-b^3\,c^3\,d\,g^5\right)\,2{}\mathrm{i}}{g^5\,\left(25\,B^2\,b^4\,n^2-12\,A\,B\,b^4\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(12\,A-25\,B\,n\right)\,1{}\mathrm{i}}{12\,d\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B*b^4*n*atan((B*b^4*n*(12*A - 25*B*n)*(24*a^4*d^5*g^5 - 24*b^4*c^4*d*g^5 - 48*a^3*b*c*d^4*g^5 + 48*a*b^3*c^3*d^2*g^5)*1i)/(24*d*g^5*(25*B^2*b^4*n^2 - 12*A*B*b^4*n)*(a*d - b*c)^4) + (B*b^5*n*x*(12*A - 25*B*n)*(a^3*d^4*g^5 - b^3*c^3*d*g^5 - 3*a^2*b*c*d^3*g^5 + 3*a*b^2*c^2*d^2*g^5)*2i)/(g^5*(25*B^2*b^4*n^2 - 12*A*B*b^4*n)*(a*d - b*c)^4))*(12*A - 25*B*n)*1i)/(12*d*g^5*(a*d - b*c)^4) - ((72*A^2*a^3*d^3 - 72*A^2*b^3*c^3 + 9*B^2*a^3*d^3*n^2 - 415*B^2*b^3*c^3*n^2 + 216*A^2*a*b^2*c^2*d - 216*A^2*a^2*b*c*d^2 - 36*A*B*a^3*d^3*n + 300*A*B*b^3*c^3*n + 161*B^2*a*b^2*c^2*d*n^2 - 55*B^2*a^2*b*c*d^2*n^2 - 276*A*B*a*b^2*c^2*d*n + 156*A*B*a^2*b*c*d^2*n)/(12*(a*d - b*c)) + (x^2*(13*B^2*a*b^2*d^3*n^2 - 163*B^2*b^3*c*d^2*n^2 - 12*A*B*a*b^2*d^3*n + 84*A*B*b^3*c*d^2*n))/(2*(a*d - b*c)) - (x*(7*B^2*a^2*b*d^3*n^2 + 271*B^2*b^3*c^2*d*n^2 - 53*B^2*a*b^2*c*d^2*n^2 - 12*A*B*a^2*b*d^3*n - 156*A*B*b^3*c^2*d*n + 60*A*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)) - (b*x^3*(25*B^2*b^2*d^3*n^2 - 12*A*B*b^2*d^3*n))/(a*d - b*c))/(x*(96*a^2*c^3*d^4*g^5 + 96*b^2*c^5*d^2*g^5 - 192*a*b*c^4*d^3*g^5) + x^3*(96*a^2*c*d^6*g^5 + 96*b^2*c^3*d^4*g^5 - 192*a*b*c^2*d^5*g^5) + x^4*(24*a^2*d^7*g^5 + 24*b^2*c^2*d^5*g^5 - 48*a*b*c*d^6*g^5) + x^2*(144*a^2*c^2*d^5*g^5 + 144*b^2*c^4*d^3*g^5 - 288*a*b*c^3*d^4*g^5) + 24*b^2*c^6*d*g^5 + 24*a^2*c^4*d^3*g^5 - 48*a*b*c^5*d^2*g^5) - log(e*((a + b*x)/(c + d*x))^n)^2*(B^2/(4*d*(c^4*g^5 + d^4*g^5*x^4 + 4*c*d^3*g^5*x^3 + 6*c^2*d^2*g^5*x^2 + 4*c^3*d*g^5*x)) - (B^2*b^4)/(4*d*g^5*(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))) - log(e*((a + b*x)/(c + d*x))^n)*((A*B)/(2*c^4*d*g^5 + 2*d^5*g^5*x^4 + 8*c^3*d^2*g^5*x + 8*c*d^4*g^5*x^3 + 12*c^2*d^3*g^5*x^2) - (B^2*b^4*(x*(d*(c*((d*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(6*b^2) - (c*d*g^5*n*(a*d - b*c))/(2*b)) - (d*g^5*n*(a*d - b*c)*(a^2*d^2 + 6*b^2*c^2 - 4*a*b*c*d))/(6*b^3)) + c*(d*((d*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(6*b^2) - (c*d*g^5*n*(a*d - b*c))/(2*b)) - (c*d^2*g^5*n*(a*d - b*c))/b + (d^2*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(3*b^2)) - (d^2*g^5*n*(a*d - b*c)*(a^2*d^2 + 6*b^2*c^2 - 4*a*b*c*d))/(2*b^3)) + c*(c*((d*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(6*b^2) - (c*d*g^5*n*(a*d - b*c))/(2*b)) - (d*g^5*n*(a*d - b*c)*(a^2*d^2 + 6*b^2*c^2 - 4*a*b*c*d))/(6*b^3)) + x^2*(d*(d*((d*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(6*b^2) - (c*d*g^5*n*(a*d - b*c))/(2*b)) - (c*d^2*g^5*n*(a*d - b*c))/b + (d^2*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(3*b^2)) - (3*c*d^3*g^5*n*(a*d - b*c))/(2*b) + (d^3*g^5*n*(a*d - b*c)*(a*d - 4*b*c))/(2*b^2)) - (2*d^4*g^5*n*x^3*(a*d - b*c))/b + (d*g^5*n*(a*d - b*c)*(a^3*d^3 - 4*b^3*c^3 + 6*a*b^2*c^2*d - 4*a^2*b*c*d^2))/(2*b^4)))/(2*d*g^5*(2*c^4*d*g^5 + 2*d^5*g^5*x^4 + 8*c^3*d^2*g^5*x + 8*c*d^4*g^5*x^3 + 12*c^2*d^3*g^5*x^2)*(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"
47,0,-1,38,0.000000,"\text{Not used}","int((c*g + d*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{{\left(c\,g+d\,g\,x\right)}^2}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((c*g + d*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
48,0,-1,36,0.000000,"\text{Not used}","int((c*g + d*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{c\,g+d\,g\,x}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((c*g + d*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
49,0,-1,38,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{\left(c\,g+d\,g\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",0,"int(1/((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
50,0,-1,96,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\left(c\,g+d\,g\,x\right)}^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(1/((c*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
51,0,-1,199,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\left(c\,g+d\,g\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",1,"int(1/((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
52,0,-1,38,0.000000,"\text{Not used}","int((c*g + d*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{{\left(c\,g+d\,g\,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",0,"int((c*g + d*g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
53,0,-1,36,0.000000,"\text{Not used}","int((c*g + d*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{c\,g+d\,g\,x}{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",0,"int((c*g + d*g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
54,0,-1,38,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{\left(c\,g+d\,g\,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",0,"int(1/((c*g + d*g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
55,0,-1,154,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\left(c\,g+d\,g\,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(1/((c*g + d*g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
56,0,-1,256,0.000000,"\text{Not used}","int(1/((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\left(c\,g+d\,g\,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(1/((c*g + d*g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
57,1,1433,364,4.679855,"\text{Not used}","int((f + g*x)^4*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^4\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{20\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,b\,d}\right)+x^2\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+10\,B\,a\,d\,f^2\,g^2\,n-10\,B\,b\,c\,f^2\,g^2\,n}{10\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2+5\,B\,a\,d\,f\,g^3\,n-5\,B\,b\,c\,f\,g^3\,n}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{2\,b\,d}\right)-x^3\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2+5\,B\,a\,d\,f\,g^3\,n-5\,B\,b\,c\,f\,g^3\,n}{15\,b\,d}+\frac{A\,a\,c\,g^4}{3\,b\,d}\right)+x\,\left(\frac{5\,A\,b\,d\,f^4+20\,A\,a\,d\,f^3\,g+20\,A\,b\,c\,f^3\,g+30\,A\,a\,c\,f^2\,g^2+10\,B\,a\,d\,f^3\,g\,n-10\,B\,b\,c\,f^3\,g\,n}{5\,b\,d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+10\,B\,a\,d\,f^2\,g^2\,n-10\,B\,b\,c\,f^2\,g^2\,n}{5\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2+5\,B\,a\,d\,f\,g^3\,n-5\,B\,b\,c\,f\,g^3\,n}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3+B\,a\,d\,g^4\,n-B\,b\,c\,g^4\,n}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2+5\,B\,a\,d\,f\,g^3\,n-5\,B\,b\,c\,f\,g^3\,n}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,f^4\,x+2\,B\,f^3\,g\,x^2+2\,B\,f^2\,g^2\,x^3+B\,f\,g^3\,x^4+\frac{B\,g^4\,x^5}{5}\right)+\frac{A\,g^4\,x^5}{5}+\frac{\ln\left(a+b\,x\right)\,\left(\frac{B\,n\,a^5\,g^4}{5}-B\,n\,a^4\,b\,f\,g^3+2\,B\,n\,a^3\,b^2\,f^2\,g^2-2\,B\,n\,a^2\,b^3\,f^3\,g+B\,n\,a\,b^4\,f^4\right)}{b^5}-\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^5\,g^4-5\,B\,n\,c^4\,d\,f\,g^3+10\,B\,n\,c^3\,d^2\,f^2\,g^2-10\,B\,n\,c^2\,d^3\,f^3\,g+5\,B\,n\,c\,d^4\,f^4\right)}{5\,d^5}","Not used",1,"x^4*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(20*b*d) - (A*g^4*(5*a*d + 5*b*c))/(20*b*d)) + x^2*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 10*B*a*d*f^2*g^2*n - 10*B*b*c*f^2*g^2*n)/(10*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 30*A*b*d*f^2*g^2 + 5*B*a*d*f*g^3*n - 5*B*b*c*f*g^3*n)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(10*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(2*b*d)) - x^3*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(15*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 30*A*b*d*f^2*g^2 + 5*B*a*d*f*g^3*n - 5*B*b*c*f*g^3*n)/(15*b*d) + (A*a*c*g^4)/(3*b*d)) + x*((5*A*b*d*f^4 + 20*A*a*d*f^3*g + 20*A*b*c*f^3*g + 30*A*a*c*f^2*g^2 + 10*B*a*d*f^3*g*n - 10*B*b*c*f^3*g*n)/(5*b*d) - ((5*a*d + 5*b*c)*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 10*B*a*d*f^2*g^2*n - 10*B*b*c*f^2*g^2*n)/(5*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 30*A*b*d*f^2*g^2 + 5*B*a*d*f*g^3*n - 5*B*b*c*f*g^3*n)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(5*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(b*d)))/(5*b*d) + (a*c*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 20*A*b*d*f*g^3 + B*a*d*g^4*n - B*b*c*g^4*n)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 30*A*b*d*f^2*g^2 + 5*B*a*d*f*g^3*n - 5*B*b*c*f*g^3*n)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(b*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*g^4*x^5)/5 + B*f^4*x + 2*B*f^2*g^2*x^3 + 2*B*f^3*g*x^2 + B*f*g^3*x^4) + (A*g^4*x^5)/5 + (log(a + b*x)*((B*a^5*g^4*n)/5 + B*a*b^4*f^4*n + 2*B*a^3*b^2*f^2*g^2*n - B*a^4*b*f*g^3*n - 2*B*a^2*b^3*f^3*g*n))/b^5 - (log(c + d*x)*(B*c^5*g^4*n + 5*B*c*d^4*f^4*n + 10*B*c^3*d^2*f^2*g^2*n - 5*B*c^4*d*f*g^3*n - 10*B*c^2*d^3*f^3*g*n))/(5*d^5)","B"
58,1,766,235,4.741920,"\text{Not used}","int((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{4\,A\,b\,d\,f^3+12\,A\,a\,c\,f\,g^2+12\,A\,a\,d\,f^2\,g+12\,A\,b\,c\,f^2\,g+6\,B\,a\,d\,f^2\,g\,n-6\,B\,b\,c\,f^2\,g\,n}{4\,b\,d}+\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2+B\,a\,d\,g^3\,n-B\,b\,c\,g^3\,n}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{4\,A\,a\,c\,g^3+12\,A\,a\,d\,f\,g^2+12\,A\,b\,c\,f\,g^2+12\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2\,n-4\,B\,b\,c\,f\,g^2\,n}{4\,b\,d}+\frac{A\,a\,c\,g^3}{b\,d}\right)}{4\,b\,d}-\frac{a\,c\,\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2+B\,a\,d\,g^3\,n-B\,b\,c\,g^3\,n}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2+B\,a\,d\,g^3\,n-B\,b\,c\,g^3\,n}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{4\,A\,a\,c\,g^3+12\,A\,a\,d\,f\,g^2+12\,A\,b\,c\,f\,g^2+12\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2\,n-4\,B\,b\,c\,f\,g^2\,n}{8\,b\,d}+\frac{A\,a\,c\,g^3}{2\,b\,d}\right)+x^3\,\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2+B\,a\,d\,g^3\,n-B\,b\,c\,g^3\,n}{12\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,f^3\,x+\frac{3\,B\,f^2\,g\,x^2}{2}+B\,f\,g^2\,x^3+\frac{B\,g^3\,x^4}{4}\right)+\frac{A\,g^3\,x^4}{4}-\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^4\,g^3-4\,B\,n\,a^3\,b\,f\,g^2+6\,B\,n\,a^2\,b^2\,f^2\,g-4\,B\,n\,a\,b^3\,f^3\right)}{4\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^4\,g^3-4\,B\,n\,c^3\,d\,f\,g^2+6\,B\,n\,c^2\,d^2\,f^2\,g-4\,B\,n\,c\,d^3\,f^3\right)}{4\,d^4}","Not used",1,"x*((4*A*b*d*f^3 + 12*A*a*c*f*g^2 + 12*A*a*d*f^2*g + 12*A*b*c*f^2*g + 6*B*a*d*f^2*g*n - 6*B*b*c*f^2*g*n)/(4*b*d) + ((4*a*d + 4*b*c)*((((4*A*a*d*g^3 + 4*A*b*c*g^3 + 12*A*b*d*f*g^2 + B*a*d*g^3*n - B*b*c*g^3*n)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(4*b*d) - (4*A*a*c*g^3 + 12*A*a*d*f*g^2 + 12*A*b*c*f*g^2 + 12*A*b*d*f^2*g + 4*B*a*d*f*g^2*n - 4*B*b*c*f*g^2*n)/(4*b*d) + (A*a*c*g^3)/(b*d)))/(4*b*d) - (a*c*((4*A*a*d*g^3 + 4*A*b*c*g^3 + 12*A*b*d*f*g^2 + B*a*d*g^3*n - B*b*c*g^3*n)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d)))/(b*d)) - x^2*((((4*A*a*d*g^3 + 4*A*b*c*g^3 + 12*A*b*d*f*g^2 + B*a*d*g^3*n - B*b*c*g^3*n)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(8*b*d) - (4*A*a*c*g^3 + 12*A*a*d*f*g^2 + 12*A*b*c*f*g^2 + 12*A*b*d*f^2*g + 4*B*a*d*f*g^2*n - 4*B*b*c*f*g^2*n)/(8*b*d) + (A*a*c*g^3)/(2*b*d)) + x^3*((4*A*a*d*g^3 + 4*A*b*c*g^3 + 12*A*b*d*f*g^2 + B*a*d*g^3*n - B*b*c*g^3*n)/(12*b*d) - (A*g^3*(4*a*d + 4*b*c))/(12*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*g^3*x^4)/4 + B*f^3*x + (3*B*f^2*g*x^2)/2 + B*f*g^2*x^3) + (A*g^3*x^4)/4 - (log(a + b*x)*(B*a^4*g^3*n - 4*B*a*b^3*f^3*n - 4*B*a^3*b*f*g^2*n + 6*B*a^2*b^2*f^2*g*n))/(4*b^4) + (log(c + d*x)*(B*c^4*g^3*n - 4*B*c*d^3*f^3*n - 4*B*c^3*d*f*g^2*n + 6*B*c^2*d^2*f^2*g*n))/(4*d^4)","B"
59,1,371,157,4.179018,"\text{Not used}","int((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x^2\,\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+6\,A\,b\,d\,f\,g+B\,a\,d\,g^2\,n-B\,b\,c\,g^2\,n}{6\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b\,d}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+6\,A\,b\,d\,f\,g+B\,a\,d\,g^2\,n-B\,b\,c\,g^2\,n}{3\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}\right)}{3\,b\,d}-\frac{3\,A\,a\,c\,g^2+3\,A\,b\,d\,f^2+6\,A\,a\,d\,f\,g+6\,A\,b\,c\,f\,g+3\,B\,a\,d\,f\,g\,n-3\,B\,b\,c\,f\,g\,n}{3\,b\,d}+\frac{A\,a\,c\,g^2}{b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(B\,f^2\,x+B\,f\,g\,x^2+\frac{B\,g^2\,x^3}{3}\right)+\frac{A\,g^2\,x^3}{3}+\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^3\,g^2-3\,B\,n\,a^2\,b\,f\,g+3\,B\,n\,a\,b^2\,f^2\right)}{3\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^3\,g^2-3\,B\,n\,c^2\,d\,f\,g+3\,B\,n\,c\,d^2\,f^2\right)}{3\,d^3}","Not used",1,"x^2*((3*A*a*d*g^2 + 3*A*b*c*g^2 + 6*A*b*d*f*g + B*a*d*g^2*n - B*b*c*g^2*n)/(6*b*d) - (A*g^2*(3*a*d + 3*b*c))/(6*b*d)) - x*(((3*a*d + 3*b*c)*((3*A*a*d*g^2 + 3*A*b*c*g^2 + 6*A*b*d*f*g + B*a*d*g^2*n - B*b*c*g^2*n)/(3*b*d) - (A*g^2*(3*a*d + 3*b*c))/(3*b*d)))/(3*b*d) - (3*A*a*c*g^2 + 3*A*b*d*f^2 + 6*A*a*d*f*g + 6*A*b*c*f*g + 3*B*a*d*f*g*n - 3*B*b*c*f*g*n)/(3*b*d) + (A*a*c*g^2)/(b*d)) + log(e*((a + b*x)/(c + d*x))^n)*((B*g^2*x^3)/3 + B*f^2*x + B*f*g*x^2) + (A*g^2*x^3)/3 + (log(a + b*x)*(B*a^3*g^2*n + 3*B*a*b^2*f^2*n - 3*B*a^2*b*f*g*n))/(3*b^3) - (log(c + d*x)*(B*c^3*g^2*n + 3*B*c*d^2*f^2*n - 3*B*c^2*d*f*g*n))/(3*d^3)","B"
60,1,153,115,4.256503,"\text{Not used}","int((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","x\,\left(\frac{2\,A\,a\,d\,g+2\,A\,b\,c\,g+2\,A\,b\,d\,f+B\,a\,d\,g\,n-B\,b\,c\,g\,n}{2\,b\,d}-\frac{A\,g\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)+\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\,\left(\frac{B\,g\,x^2}{2}+B\,f\,x\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,g\,n-2\,B\,a\,b\,f\,n\right)}{2\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(B\,c^2\,g\,n-2\,B\,c\,d\,f\,n\right)}{2\,d^2}+\frac{A\,g\,x^2}{2}","Not used",1,"x*((2*A*a*d*g + 2*A*b*c*g + 2*A*b*d*f + B*a*d*g*n - B*b*c*g*n)/(2*b*d) - (A*g*(2*a*d + 2*b*c))/(2*b*d)) + log(e*((a + b*x)/(c + d*x))^n)*(B*f*x + (B*g*x^2)/2) - (log(a + b*x)*(B*a^2*g*n - 2*B*a*b*f*n))/(2*b^2) + (log(c + d*x)*(B*c^2*g*n - 2*B*c*d*f*n))/(2*d^2) + (A*g*x^2)/2","B"
61,1,52,56,4.005344,"\text{Not used}","int(A + B*log(e*((a + b*x)/(c + d*x))^n),x)","A\,x+B\,x\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)+\frac{B\,a\,n\,\ln\left(a+b\,x\right)}{b}-\frac{B\,c\,n\,\ln\left(c+d\,x\right)}{d}","Not used",1,"A*x + B*x*log(e*((a + b*x)/(c + d*x))^n) + (B*a*n*log(a + b*x))/b - (B*c*n*log(c + d*x))/d","B"
62,0,-1,147,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x),x)","\int \frac{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{f+g\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x), x)","F"
63,1,140,91,4.639893,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x)^2,x)","\frac{B\,d\,n\,\ln\left(c+d\,x\right)}{c\,g^2-d\,f\,g}-\frac{\ln\left(f+g\,x\right)\,\left(B\,a\,d\,n-B\,b\,c\,n\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{g\,\left(f+g\,x\right)}-\frac{B\,b\,n\,\ln\left(a+b\,x\right)}{a\,g^2-b\,f\,g}-\frac{A}{x\,g^2+f\,g}","Not used",1,"(B*d*n*log(c + d*x))/(c*g^2 - d*f*g) - (log(f + g*x)*(B*a*d*n - B*b*c*n))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g) - (B*log(e*((a + b*x)/(c + d*x))^n))/(g*(f + g*x)) - (B*b*n*log(a + b*x))/(a*g^2 - b*f*g) - A/(f*g + g^2*x)","B"
64,1,430,190,6.198876,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x)^3,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(B\,a^2\,d^2\,n-B\,b^2\,c^2\,n\right)-2\,B\,a\,b\,d^2\,f\,n+2\,B\,b^2\,c\,d\,f\,n\right)}{2\,a^2\,c^2\,g^4-4\,a^2\,c\,d\,f\,g^3+2\,a^2\,d^2\,f^2\,g^2-4\,a\,b\,c^2\,f\,g^3+8\,a\,b\,c\,d\,f^2\,g^2-4\,a\,b\,d^2\,f^3\,g+2\,b^2\,c^2\,f^2\,g^2-4\,b^2\,c\,d\,f^3\,g+2\,b^2\,d^2\,f^4}-\frac{\frac{A\,a\,c\,g^2+A\,b\,d\,f^2-A\,a\,d\,f\,g-A\,b\,c\,f\,g-B\,a\,d\,f\,g\,n+B\,b\,c\,f\,g\,n}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}-\frac{x\,\left(B\,a\,d\,g^2\,n-B\,b\,c\,g^2\,n\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}}{2\,f^2\,g+4\,f\,g^2\,x+2\,g^3\,x^2}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{2\,g\,\left(f^2+2\,f\,g\,x+g^2\,x^2\right)}+\frac{B\,b^2\,n\,\ln\left(a+b\,x\right)}{2\,a^2\,g^3-4\,a\,b\,f\,g^2+2\,b^2\,f^2\,g}-\frac{B\,d^2\,n\,\ln\left(c+d\,x\right)}{2\,c^2\,g^3-4\,c\,d\,f\,g^2+2\,d^2\,f^2\,g}","Not used",1,"(log(f + g*x)*(g*(B*a^2*d^2*n - B*b^2*c^2*n) - 2*B*a*b*d^2*f*n + 2*B*b^2*c*d*f*n))/(2*a^2*c^2*g^4 + 2*b^2*d^2*f^4 + 2*a^2*d^2*f^2*g^2 + 2*b^2*c^2*f^2*g^2 - 4*a*b*c^2*f*g^3 - 4*a*b*d^2*f^3*g - 4*a^2*c*d*f*g^3 - 4*b^2*c*d*f^3*g + 8*a*b*c*d*f^2*g^2) - ((A*a*c*g^2 + A*b*d*f^2 - A*a*d*f*g - A*b*c*f*g - B*a*d*f*g*n + B*b*c*f*g*n)/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g) - (x*(B*a*d*g^2*n - B*b*c*g^2*n))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g))/(2*f^2*g + 2*g^3*x^2 + 4*f*g^2*x) - (B*log(e*((a + b*x)/(c + d*x))^n))/(2*g*(f^2 + g^2*x^2 + 2*f*g*x)) + (B*b^2*n*log(a + b*x))/(2*a^2*g^3 + 2*b^2*f^2*g - 4*a*b*f*g^2) - (B*d^2*n*log(c + d*x))/(2*c^2*g^3 + 2*d^2*f^2*g - 4*c*d*f*g^2)","B"
65,1,1182,283,9.225238,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x)^4,x)","\frac{B\,d^3\,n\,\ln\left(c+d\,x\right)}{3\,c^3\,g^4-9\,c^2\,d\,f\,g^3+9\,c\,d^2\,f^2\,g^2-3\,d^3\,f^3\,g}-\frac{\ln\left(f+g\,x\right)\,\left(g^2\,\left(B\,a^3\,d^3\,n-B\,b^3\,c^3\,n\right)-g\,\left(3\,B\,a^2\,b\,d^3\,f\,n-3\,B\,b^3\,c^2\,d\,f\,n\right)+3\,B\,a\,b^2\,d^3\,f^2\,n-3\,B\,b^3\,c\,d^2\,f^2\,n\right)}{3\,a^3\,c^3\,g^6-9\,a^3\,c^2\,d\,f\,g^5+9\,a^3\,c\,d^2\,f^2\,g^4-3\,a^3\,d^3\,f^3\,g^3-9\,a^2\,b\,c^3\,f\,g^5+27\,a^2\,b\,c^2\,d\,f^2\,g^4-27\,a^2\,b\,c\,d^2\,f^3\,g^3+9\,a^2\,b\,d^3\,f^4\,g^2+9\,a\,b^2\,c^3\,f^2\,g^4-27\,a\,b^2\,c^2\,d\,f^3\,g^3+27\,a\,b^2\,c\,d^2\,f^4\,g^2-9\,a\,b^2\,d^3\,f^5\,g-3\,b^3\,c^3\,f^3\,g^3+9\,b^3\,c^2\,d\,f^4\,g^2-9\,b^3\,c\,d^2\,f^5\,g+3\,b^3\,d^3\,f^6}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{3\,g\,\left(f^3+3\,f^2\,g\,x+3\,f\,g^2\,x^2+g^3\,x^3\right)}-\frac{B\,b^3\,n\,\ln\left(a+b\,x\right)}{3\,a^3\,g^4-9\,a^2\,b\,f\,g^3+9\,a\,b^2\,f^2\,g^2-3\,b^3\,f^3\,g}-\frac{\frac{2\,A\,a^2\,c^2\,g^4+2\,A\,b^2\,d^2\,f^4+2\,A\,a^2\,d^2\,f^2\,g^2+2\,A\,b^2\,c^2\,f^2\,g^2+3\,B\,a^2\,d^2\,f^2\,g^2\,n-3\,B\,b^2\,c^2\,f^2\,g^2\,n-4\,A\,a\,b\,c^2\,f\,g^3-4\,A\,a\,b\,d^2\,f^3\,g-4\,A\,a^2\,c\,d\,f\,g^3-4\,A\,b^2\,c\,d\,f^3\,g+8\,A\,a\,b\,c\,d\,f^2\,g^2+B\,a\,b\,c^2\,f\,g^3\,n-5\,B\,a\,b\,d^2\,f^3\,g\,n-B\,a^2\,c\,d\,f\,g^3\,n+5\,B\,b^2\,c\,d\,f^3\,g\,n}{2\,\left(a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4\right)}+\frac{x\,\left(-B\,n\,a^2\,c\,d\,g^4+5\,B\,n\,a^2\,d^2\,f\,g^3+B\,n\,a\,b\,c^2\,g^4-9\,B\,n\,a\,b\,d^2\,f^2\,g^2-5\,B\,n\,b^2\,c^2\,f\,g^3+9\,B\,n\,b^2\,c\,d\,f^2\,g^2\right)}{2\,\left(a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4\right)}+\frac{x^2\,\left(B\,n\,a^2\,d^2\,g^4-2\,B\,f\,n\,a\,b\,d^2\,g^3-B\,n\,b^2\,c^2\,g^4+2\,B\,f\,n\,b^2\,c\,d\,g^3\right)}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}}{3\,f^3\,g+9\,f^2\,g^2\,x+9\,f\,g^3\,x^2+3\,g^4\,x^3}","Not used",1,"(B*d^3*n*log(c + d*x))/(3*c^3*g^4 - 3*d^3*f^3*g + 9*c*d^2*f^2*g^2 - 9*c^2*d*f*g^3) - (log(f + g*x)*(g^2*(B*a^3*d^3*n - B*b^3*c^3*n) - g*(3*B*a^2*b*d^3*f*n - 3*B*b^3*c^2*d*f*n) + 3*B*a*b^2*d^3*f^2*n - 3*B*b^3*c*d^2*f^2*n))/(3*a^3*c^3*g^6 + 3*b^3*d^3*f^6 - 3*a^3*d^3*f^3*g^3 - 3*b^3*c^3*f^3*g^3 - 9*a^2*b*c^3*f*g^5 - 9*a*b^2*d^3*f^5*g - 9*a^3*c^2*d*f*g^5 - 9*b^3*c*d^2*f^5*g + 9*a*b^2*c^3*f^2*g^4 + 9*a^2*b*d^3*f^4*g^2 + 9*a^3*c*d^2*f^2*g^4 + 9*b^3*c^2*d*f^4*g^2 + 27*a*b^2*c*d^2*f^4*g^2 - 27*a*b^2*c^2*d*f^3*g^3 - 27*a^2*b*c*d^2*f^3*g^3 + 27*a^2*b*c^2*d*f^2*g^4) - (B*log(e*((a + b*x)/(c + d*x))^n))/(3*g*(f^3 + g^3*x^3 + 3*f^2*g*x + 3*f*g^2*x^2)) - (B*b^3*n*log(a + b*x))/(3*a^3*g^4 - 3*b^3*f^3*g + 9*a*b^2*f^2*g^2 - 9*a^2*b*f*g^3) - ((2*A*a^2*c^2*g^4 + 2*A*b^2*d^2*f^4 + 2*A*a^2*d^2*f^2*g^2 + 2*A*b^2*c^2*f^2*g^2 + 3*B*a^2*d^2*f^2*g^2*n - 3*B*b^2*c^2*f^2*g^2*n - 4*A*a*b*c^2*f*g^3 - 4*A*a*b*d^2*f^3*g - 4*A*a^2*c*d*f*g^3 - 4*A*b^2*c*d*f^3*g + 8*A*a*b*c*d*f^2*g^2 + B*a*b*c^2*f*g^3*n - 5*B*a*b*d^2*f^3*g*n - B*a^2*c*d*f*g^3*n + 5*B*b^2*c*d*f^3*g*n)/(2*(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2)) + (x*(B*a*b*c^2*g^4*n - B*a^2*c*d*g^4*n + 5*B*a^2*d^2*f*g^3*n - 5*B*b^2*c^2*f*g^3*n - 9*B*a*b*d^2*f^2*g^2*n + 9*B*b^2*c*d*f^2*g^2*n))/(2*(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2)) + (x^2*(B*a^2*d^2*g^4*n - B*b^2*c^2*g^4*n - 2*B*a*b*d^2*f*g^3*n + 2*B*b^2*c*d*f*g^3*n))/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2))/(3*f^3*g + 3*g^4*x^3 + 9*f^2*g^2*x + 9*f*g^3*x^2)","B"
66,1,2569,388,13.771332,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))/(f + g*x)^5,x)","\frac{\frac{x^3\,\left(B\,n\,a^3\,d^3\,g^6-3\,B\,n\,a^2\,b\,d^3\,f\,g^5+3\,B\,n\,a\,b^2\,d^3\,f^2\,g^4-B\,n\,b^3\,c^3\,g^6+3\,B\,n\,b^3\,c^2\,d\,f\,g^5-3\,B\,n\,b^3\,c\,d^2\,f^2\,g^4\right)}{a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6}-\frac{6\,A\,a^3\,c^3\,g^6+6\,A\,b^3\,d^3\,f^6-6\,A\,a^3\,d^3\,f^3\,g^3-6\,A\,b^3\,c^3\,f^3\,g^3+18\,A\,a\,b^2\,c^3\,f^2\,g^4+18\,A\,a^2\,b\,d^3\,f^4\,g^2+18\,A\,a^3\,c\,d^2\,f^2\,g^4+18\,A\,b^3\,c^2\,d\,f^4\,g^2-11\,B\,a^3\,d^3\,f^3\,g^3\,n+11\,B\,b^3\,c^3\,f^3\,g^3\,n-18\,A\,a^2\,b\,c^3\,f\,g^5-18\,A\,a\,b^2\,d^3\,f^5\,g-18\,A\,a^3\,c^2\,d\,f\,g^5-18\,A\,b^3\,c\,d^2\,f^5\,g+2\,B\,a^2\,b\,c^3\,f\,g^5\,n-26\,B\,a\,b^2\,d^3\,f^5\,g\,n-2\,B\,a^3\,c^2\,d\,f\,g^5\,n+26\,B\,b^3\,c\,d^2\,f^5\,g\,n+54\,A\,a\,b^2\,c\,d^2\,f^4\,g^2-54\,A\,a\,b^2\,c^2\,d\,f^3\,g^3-54\,A\,a^2\,b\,c\,d^2\,f^3\,g^3+54\,A\,a^2\,b\,c^2\,d\,f^2\,g^4-7\,B\,a\,b^2\,c^3\,f^2\,g^4\,n+31\,B\,a^2\,b\,d^3\,f^4\,g^2\,n+7\,B\,a^3\,c\,d^2\,f^2\,g^4\,n-31\,B\,b^3\,c^2\,d\,f^4\,g^2\,n+15\,B\,a\,b^2\,c^2\,d\,f^3\,g^3\,n-15\,B\,a^2\,b\,c\,d^2\,f^3\,g^3\,n}{6\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}+\frac{x^2\,\left(-B\,n\,a^3\,c\,d^2\,g^6+7\,B\,n\,a^3\,d^3\,f\,g^5+3\,B\,n\,a^2\,b\,c\,d^2\,f\,g^5-21\,B\,n\,a^2\,b\,d^3\,f^2\,g^4+B\,n\,a\,b^2\,c^3\,g^6-3\,B\,n\,a\,b^2\,c^2\,d\,f\,g^5+20\,B\,n\,a\,b^2\,d^3\,f^3\,g^3-7\,B\,n\,b^3\,c^3\,f\,g^5+21\,B\,n\,b^3\,c^2\,d\,f^2\,g^4-20\,B\,n\,b^3\,c\,d^2\,f^3\,g^3\right)}{2\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}+\frac{x\,\left(B\,n\,a^3\,c^2\,d\,g^6-5\,B\,n\,a^3\,c\,d^2\,f\,g^5+13\,B\,n\,a^3\,d^3\,f^2\,g^4-B\,n\,a^2\,b\,c^3\,g^6+12\,B\,n\,a^2\,b\,c\,d^2\,f^2\,g^4-38\,B\,n\,a^2\,b\,d^3\,f^3\,g^3+5\,B\,n\,a\,b^2\,c^3\,f\,g^5-12\,B\,n\,a\,b^2\,c^2\,d\,f^2\,g^4+34\,B\,n\,a\,b^2\,d^3\,f^4\,g^2-13\,B\,n\,b^3\,c^3\,f^2\,g^4+38\,B\,n\,b^3\,c^2\,d\,f^3\,g^3-34\,B\,n\,b^3\,c\,d^2\,f^4\,g^2\right)}{3\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}}{4\,f^4\,g+16\,f^3\,g^2\,x+24\,f^2\,g^3\,x^2+16\,f\,g^4\,x^3+4\,g^5\,x^4}+\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(6\,B\,a^2\,b^2\,d^4\,f^2\,n-6\,B\,b^4\,c^2\,d^2\,f^2\,n\right)-g^2\,\left(4\,B\,a^3\,b\,d^4\,f\,n-4\,B\,b^4\,c^3\,d\,f\,n\right)+g^3\,\left(B\,a^4\,d^4\,n-B\,b^4\,c^4\,n\right)-4\,B\,a\,b^3\,d^4\,f^3\,n+4\,B\,b^4\,c\,d^3\,f^3\,n\right)}{4\,a^4\,c^4\,g^8-16\,a^4\,c^3\,d\,f\,g^7+24\,a^4\,c^2\,d^2\,f^2\,g^6-16\,a^4\,c\,d^3\,f^3\,g^5+4\,a^4\,d^4\,f^4\,g^4-16\,a^3\,b\,c^4\,f\,g^7+64\,a^3\,b\,c^3\,d\,f^2\,g^6-96\,a^3\,b\,c^2\,d^2\,f^3\,g^5+64\,a^3\,b\,c\,d^3\,f^4\,g^4-16\,a^3\,b\,d^4\,f^5\,g^3+24\,a^2\,b^2\,c^4\,f^2\,g^6-96\,a^2\,b^2\,c^3\,d\,f^3\,g^5+144\,a^2\,b^2\,c^2\,d^2\,f^4\,g^4-96\,a^2\,b^2\,c\,d^3\,f^5\,g^3+24\,a^2\,b^2\,d^4\,f^6\,g^2-16\,a\,b^3\,c^4\,f^3\,g^5+64\,a\,b^3\,c^3\,d\,f^4\,g^4-96\,a\,b^3\,c^2\,d^2\,f^5\,g^3+64\,a\,b^3\,c\,d^3\,f^6\,g^2-16\,a\,b^3\,d^4\,f^7\,g+4\,b^4\,c^4\,f^4\,g^4-16\,b^4\,c^3\,d\,f^5\,g^3+24\,b^4\,c^2\,d^2\,f^6\,g^2-16\,b^4\,c\,d^3\,f^7\,g+4\,b^4\,d^4\,f^8}-\frac{B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)}{4\,g\,\left(f^4+4\,f^3\,g\,x+6\,f^2\,g^2\,x^2+4\,f\,g^3\,x^3+g^4\,x^4\right)}+\frac{B\,b^4\,n\,\ln\left(a+b\,x\right)}{4\,a^4\,g^5-16\,a^3\,b\,f\,g^4+24\,a^2\,b^2\,f^2\,g^3-16\,a\,b^3\,f^3\,g^2+4\,b^4\,f^4\,g}-\frac{B\,d^4\,n\,\ln\left(c+d\,x\right)}{4\,c^4\,g^5-16\,c^3\,d\,f\,g^4+24\,c^2\,d^2\,f^2\,g^3-16\,c\,d^3\,f^3\,g^2+4\,d^4\,f^4\,g}","Not used",1,"((x^3*(B*a^3*d^3*g^6*n - B*b^3*c^3*g^6*n - 3*B*a^2*b*d^3*f*g^5*n + 3*B*b^3*c^2*d*f*g^5*n + 3*B*a*b^2*d^3*f^2*g^4*n - 3*B*b^3*c*d^2*f^2*g^4*n))/(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4) - (6*A*a^3*c^3*g^6 + 6*A*b^3*d^3*f^6 - 6*A*a^3*d^3*f^3*g^3 - 6*A*b^3*c^3*f^3*g^3 + 18*A*a*b^2*c^3*f^2*g^4 + 18*A*a^2*b*d^3*f^4*g^2 + 18*A*a^3*c*d^2*f^2*g^4 + 18*A*b^3*c^2*d*f^4*g^2 - 11*B*a^3*d^3*f^3*g^3*n + 11*B*b^3*c^3*f^3*g^3*n - 18*A*a^2*b*c^3*f*g^5 - 18*A*a*b^2*d^3*f^5*g - 18*A*a^3*c^2*d*f*g^5 - 18*A*b^3*c*d^2*f^5*g + 2*B*a^2*b*c^3*f*g^5*n - 26*B*a*b^2*d^3*f^5*g*n - 2*B*a^3*c^2*d*f*g^5*n + 26*B*b^3*c*d^2*f^5*g*n + 54*A*a*b^2*c*d^2*f^4*g^2 - 54*A*a*b^2*c^2*d*f^3*g^3 - 54*A*a^2*b*c*d^2*f^3*g^3 + 54*A*a^2*b*c^2*d*f^2*g^4 - 7*B*a*b^2*c^3*f^2*g^4*n + 31*B*a^2*b*d^3*f^4*g^2*n + 7*B*a^3*c*d^2*f^2*g^4*n - 31*B*b^3*c^2*d*f^4*g^2*n + 15*B*a*b^2*c^2*d*f^3*g^3*n - 15*B*a^2*b*c*d^2*f^3*g^3*n)/(6*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) + (x^2*(B*a*b^2*c^3*g^6*n - B*a^3*c*d^2*g^6*n + 7*B*a^3*d^3*f*g^5*n - 7*B*b^3*c^3*f*g^5*n + 20*B*a*b^2*d^3*f^3*g^3*n - 21*B*a^2*b*d^3*f^2*g^4*n - 20*B*b^3*c*d^2*f^3*g^3*n + 21*B*b^3*c^2*d*f^2*g^4*n - 3*B*a*b^2*c^2*d*f*g^5*n + 3*B*a^2*b*c*d^2*f*g^5*n))/(2*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) + (x*(13*B*a^3*d^3*f^2*g^4*n - 13*B*b^3*c^3*f^2*g^4*n - B*a^2*b*c^3*g^6*n + B*a^3*c^2*d*g^6*n + 5*B*a*b^2*c^3*f*g^5*n - 5*B*a^3*c*d^2*f*g^5*n + 34*B*a*b^2*d^3*f^4*g^2*n - 38*B*a^2*b*d^3*f^3*g^3*n - 34*B*b^3*c*d^2*f^4*g^2*n + 38*B*b^3*c^2*d*f^3*g^3*n - 12*B*a*b^2*c^2*d*f^2*g^4*n + 12*B*a^2*b*c*d^2*f^2*g^4*n))/(3*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)))/(4*f^4*g + 4*g^5*x^4 + 16*f^3*g^2*x + 16*f*g^4*x^3 + 24*f^2*g^3*x^2) + (log(f + g*x)*(g*(6*B*a^2*b^2*d^4*f^2*n - 6*B*b^4*c^2*d^2*f^2*n) - g^2*(4*B*a^3*b*d^4*f*n - 4*B*b^4*c^3*d*f*n) + g^3*(B*a^4*d^4*n - B*b^4*c^4*n) - 4*B*a*b^3*d^4*f^3*n + 4*B*b^4*c*d^3*f^3*n))/(4*a^4*c^4*g^8 + 4*b^4*d^4*f^8 + 4*a^4*d^4*f^4*g^4 + 4*b^4*c^4*f^4*g^4 + 24*a^2*b^2*c^4*f^2*g^6 + 24*a^2*b^2*d^4*f^6*g^2 + 24*a^4*c^2*d^2*f^2*g^6 + 24*b^4*c^2*d^2*f^6*g^2 - 16*a^3*b*c^4*f*g^7 - 16*a*b^3*d^4*f^7*g - 16*a^4*c^3*d*f*g^7 - 16*b^4*c*d^3*f^7*g - 16*a*b^3*c^4*f^3*g^5 - 16*a^3*b*d^4*f^5*g^3 - 16*a^4*c*d^3*f^3*g^5 - 16*b^4*c^3*d*f^5*g^3 + 64*a*b^3*c*d^3*f^6*g^2 + 64*a*b^3*c^3*d*f^4*g^4 + 64*a^3*b*c*d^3*f^4*g^4 + 64*a^3*b*c^3*d*f^2*g^6 - 96*a*b^3*c^2*d^2*f^5*g^3 - 96*a^2*b^2*c*d^3*f^5*g^3 - 96*a^2*b^2*c^3*d*f^3*g^5 - 96*a^3*b*c^2*d^2*f^3*g^5 + 144*a^2*b^2*c^2*d^2*f^4*g^4) - (B*log(e*((a + b*x)/(c + d*x))^n))/(4*g*(f^4 + g^4*x^4 + 4*f^3*g*x + 4*f*g^3*x^3 + 6*f^2*g^2*x^2)) + (B*b^4*n*log(a + b*x))/(4*a^4*g^5 + 4*b^4*f^4*g - 16*a*b^3*f^3*g^2 + 24*a^2*b^2*f^2*g^3 - 16*a^3*b*f*g^4) - (B*d^4*n*log(c + d*x))/(4*c^4*g^5 + 4*d^4*f^4*g - 16*c*d^3*f^3*g^2 + 24*c^2*d^2*f^2*g^3 - 16*c^3*d*f*g^4)","B"
67,0,-1,923,0.000000,"\text{Not used}","int((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(f+g\,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((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
68,0,-1,565,0.000000,"\text{Not used}","int((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\left(f+g\,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((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
69,0,-1,290,0.000000,"\text{Not used}","int((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \left(f+g\,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((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
70,0,-1,135,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int {\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 + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
71,0,-1,297,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x),x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{f+g\,x} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x), x)","F"
72,0,-1,206,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*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(f+g\,x\right)}^2} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^2, x)","F"
73,0,-1,389,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^3,x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(f+g\,x\right)}^3} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^3, x)","F"
74,0,-1,747,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^4,x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(f+g\,x\right)}^4} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^4, x)","F"
75,0,-1,1208,0.000000,"\text{Not used}","int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^5,x)","\int \frac{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2}{{\left(f+g\,x\right)}^5} \,d x","Not used",1,"int((A + B*log(e*((a + b*x)/(c + d*x))^n))^2/(f + g*x)^5, x)","F"
76,0,-1,35,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{{\left(f+g\,x\right)}^2}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((f + g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
77,0,-1,33,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{f+g\,x}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int((f + g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
78,0,-1,27,0.000000,"\text{Not used}","int(1/(A + B*log(e*((a + b*x)/(c + d*x))^n)),x)","\int \frac{1}{A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)} \,d x","Not used",0,"int(1/(A + B*log(e*((a + b*x)/(c + d*x))^n)), x)","F"
79,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{\left(f+g\,x\right)\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
80,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\left(f+g\,x\right)}^2\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
81,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))),x)","\int \frac{1}{{\left(f+g\,x\right)}^3\,\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))), x)","F"
82,0,-1,35,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{{\left(f+g\,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",0,"int((f + g*x)^2/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
83,0,-1,33,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{f+g\,x}{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",0,"int((f + g*x)/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
84,0,-1,27,0.000000,"\text{Not used}","int(1/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2,x)","\int \frac{1}{{\left(A+B\,\ln\left(e\,{\left(\frac{a+b\,x}{c+d\,x}\right)}^n\right)\right)}^2} \,d x","Not used",0,"int(1/(A + B*log(e*((a + b*x)/(c + d*x))^n))^2, x)","F"
85,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{\left(f+g\,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",0,"int(1/((f + g*x)*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
86,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\left(f+g\,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",0,"int(1/((f + g*x)^2*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
87,0,-1,35,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2),x)","\int \frac{1}{{\left(f+g\,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",0,"int(1/((f + g*x)^3*(A + B*log(e*((a + b*x)/(c + d*x))^n))^2), x)","F"
88,1,1009,180,4.780135,"\text{Not used}","int((a*g + b*g*x)^4*(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(B\,a^4\,g^4\,x+2\,B\,a^3\,b\,g^4\,x^2+2\,B\,a^2\,b^2\,g^4\,x^3+B\,a\,b^3\,g^4\,x^4+\frac{B\,b^4\,g^4\,x^5}{5}\right)-x^3\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{3\,d}+\frac{A\,a\,b^3\,c\,g^4}{3\,d}\right)+x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{10\,b\,d}+\frac{a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}\right)+x\,\left(\frac{a^3\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{5\,b\,d}+\frac{2\,a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{b\,d}\right)+x^4\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{20\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(5\,B\,a^4\,c\,d^4\,g^4-10\,B\,a^3\,b\,c^2\,d^3\,g^4+10\,B\,a^2\,b^2\,c^3\,d^2\,g^4-5\,B\,a\,b^3\,c^4\,d\,g^4+B\,b^4\,c^5\,g^4\right)}{5\,d^5}+\frac{A\,b^4\,g^4\,x^5}{5}+\frac{B\,a^5\,g^4\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"log((e*(a + b*x))/(c + d*x))*((B*b^4*g^4*x^5)/5 + B*a^4*g^4*x + 2*B*a^3*b*g^4*x^2 + B*a*b^3*g^4*x^4 + 2*B*a^2*b^2*g^4*x^3) - x^3*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(15*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(3*d) + (A*a*b^3*c*g^4)/(3*d)) + x^2*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d - B*b*c))/d + (A*a*b^3*c*g^4)/d))/(10*b*d) + (a^2*b*g^4*(5*A*a*d + 5*A*b*c + B*a*d - B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(2*b*d)) + x*((a^3*g^4*(5*A*a*d + 10*A*b*c + 2*B*a*d - 2*B*b*c))/d - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d - B*b*c))/d + (A*a*b^3*c*g^4)/d))/(5*b*d) + (2*a^2*b*g^4*(5*A*a*d + 5*A*b*c + B*a*d - B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(b*d)))/(5*b*d) + (a*c*((((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + B*a*d - B*b*c))/d + (A*a*b^3*c*g^4)/d))/(b*d)) + x^4*((b^3*g^4*(25*A*a*d + 5*A*b*c + B*a*d - B*b*c))/(20*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(20*d)) - (log(c + d*x)*(B*b^4*c^5*g^4 + 5*B*a^4*c*d^4*g^4 - 10*B*a^3*b*c^2*d^3*g^4 + 10*B*a^2*b^2*c^3*d^2*g^4 - 5*B*a*b^3*c^4*d*g^4))/(5*d^5) + (A*b^4*g^4*x^5)/5 + (B*a^5*g^4*log(a + b*x))/(5*b)","B"
89,1,566,149,4.644952,"\text{Not used}","int((a*g + b*g*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{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{d}\right)}{4\,b\,d}+\frac{a^2\,g^3\,\left(8\,A\,a\,d+12\,A\,b\,c+3\,B\,a\,d-3\,B\,b\,c\right)}{2\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,d}+\frac{A\,a\,b^2\,c\,g^3}{2\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a^3\,g^3\,x+\frac{3\,B\,a^2\,b\,g^3\,x^2}{2}+B\,a\,b^2\,g^3\,x^3+\frac{B\,b^3\,g^3\,x^4}{4}\right)+x^3\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{12\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,a^3\,c\,d^3\,g^3+6\,B\,a^2\,b\,c^2\,d^2\,g^3-4\,B\,a\,b^2\,c^3\,d\,g^3+B\,b^3\,c^4\,g^3\right)}{4\,d^4}+\frac{A\,b^3\,g^3\,x^4}{4}+\frac{B\,a^4\,g^3\,\ln\left(a+b\,x\right)}{4\,b}","Not used",1,"x*(((4*a*d + 4*b*c)*((((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(4*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c + B*a*d - B*b*c))/d + (A*a*b^2*c*g^3)/d))/(4*b*d) + (a^2*g^3*(8*A*a*d + 12*A*b*c + 3*B*a*d - 3*B*b*c))/(2*d) - (a*c*((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d)))/(b*d)) - x^2*((((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(8*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(2*d) + (A*a*b^2*c*g^3)/(2*d)) + log((e*(a + b*x))/(c + d*x))*((B*b^3*g^3*x^4)/4 + B*a^3*g^3*x + (3*B*a^2*b*g^3*x^2)/2 + B*a*b^2*g^3*x^3) + x^3*((b^2*g^3*(16*A*a*d + 4*A*b*c + B*a*d - B*b*c))/(12*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(12*d)) + (log(c + d*x)*(B*b^3*c^4*g^3 - 4*B*a^3*c*d^3*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a*b^2*c^3*d*g^3))/(4*d^4) + (A*b^3*g^3*x^4)/4 + (B*a^4*g^3*log(a + b*x))/(4*b)","B"
90,1,290,118,4.480383,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^2\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{3\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)}{3\,b\,d}-\frac{a\,g^2\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b\,c\,g^2}{d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,a^2\,g^2\,x+B\,a\,b\,g^2\,x^2+\frac{B\,b^2\,g^2\,x^3}{3}\right)-\frac{\ln\left(c+d\,x\right)\,\left(3\,B\,a^2\,c\,d^2\,g^2-3\,B\,a\,b\,c^2\,d\,g^2+B\,b^2\,c^3\,g^2\right)}{3\,d^3}+\frac{A\,b^2\,g^2\,x^3}{3}+\frac{B\,a^3\,g^2\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"x^2*((b*g^2*(9*A*a*d + 3*A*b*c + B*a*d - B*b*c))/(6*d) - (A*b*g^2*(3*a*d + 3*b*c))/(6*d)) - x*(((3*a*d + 3*b*c)*((b*g^2*(9*A*a*d + 3*A*b*c + B*a*d - B*b*c))/(3*d) - (A*b*g^2*(3*a*d + 3*b*c))/(3*d)))/(3*b*d) - (a*g^2*(3*A*a*d + 3*A*b*c + B*a*d - B*b*c))/d + (A*a*b*c*g^2)/d) + log((e*(a + b*x))/(c + d*x))*((B*b^2*g^2*x^3)/3 + B*a^2*g^2*x + B*a*b*g^2*x^2) - (log(c + d*x)*(B*b^2*c^3*g^2 + 3*B*a^2*c*d^2*g^2 - 3*B*a*b*c^2*d*g^2))/(3*d^3) + (A*b^2*g^2*x^3)/3 + (B*a^3*g^2*log(a + b*x))/(3*b)","B"
91,1,126,81,4.302771,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{g\,\left(4\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,d}-\frac{A\,g\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{B\,b\,g\,x^2}{2}+B\,a\,g\,x\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^2\,g-2\,B\,a\,c\,d\,g\right)}{2\,d^2}+\frac{A\,b\,g\,x^2}{2}+\frac{B\,a^2\,g\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"x*((g*(4*A*a*d + 2*A*b*c + B*a*d - B*b*c))/(2*d) - (A*g*(2*a*d + 2*b*c))/(2*d)) + log((e*(a + b*x))/(c + d*x))*((B*b*g*x^2)/2 + B*a*g*x) + (log(c + d*x)*(B*b*c^2*g - 2*B*a*c*d*g))/(2*d^2) + (A*b*g*x^2)/2 + (B*a^2*g*log(a + b*x))/(2*b)","B"
92,0,-1,80,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x), x)","F"
93,1,104,63,5.020477,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x)^2,x)","-\frac{A+B}{x\,b^2\,g^2+a\,b\,g^2}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B\,d\,\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}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- (A + B)/(b^2*g^2*x + a*b*g^2) - (B*log((e*(a + b*x))/(c + d*x)))/(b^2*g^2*(x + a/b)) - (B*d*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(b*g^2*(a*d - b*c))","B"
94,1,209,144,5.038754,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x)^3,x)","-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c+3\,B\,a\,d-B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,x}{a\,d-b\,c}}{2\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{B\,d^2\,\mathrm{atanh}\left(\frac{2\,b^3\,c^2\,g^3-2\,a^2\,b\,d^2\,g^3}{2\,b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((2*A*a*d - 2*A*b*c + 3*B*a*d - B*b*c)/(2*(a*d - b*c)) + (B*b*d*x)/(a*d - b*c))/(2*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x) - (B*log((e*(a + b*x))/(c + d*x)))/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (B*d^2*atanh((2*b^3*c^2*g^3 - 2*a^2*b*d^2*g^3)/(2*b*g^3*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*g^3*(a*d - b*c)^2)","B"
95,1,339,175,5.584003,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x)^4,x)","\frac{2\,A\,a\,c\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,c^2}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{11\,B\,a^2\,d^2}{18\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{5\,B\,a\,d^2\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,d^2\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{3\,b\,g^4\,{\left(a+b\,x\right)}^3}+\frac{7\,B\,a\,c\,d}{18\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{B\,b\,c\,d\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\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)\,2{}\mathrm{i}}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(2*A*a*c*d)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(3*b*g^4*(a*d - b*c)^3) - (A*b*c^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*b*c^2)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*a^2*d^2)/(3*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (11*B*a^2*d^2)/(18*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (5*B*a*d^2*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*b*d^2*x^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*log((e*(a + b*x))/(c + d*x)))/(3*b*g^4*(a + b*x)^3) + (7*B*a*c*d)/(18*g^4*(a*d - b*c)^2*(a + b*x)^3) + (B*b*c*d*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3)","B"
96,1,577,206,6.166203,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(a*g + b*g*x)^5,x)","-\frac{\frac{12\,A\,a^3\,d^3-12\,A\,b^3\,c^3+25\,B\,a^3\,d^3-3\,B\,b^3\,c^3+36\,A\,a\,b^2\,c^2\,d-36\,A\,a^2\,b\,c\,d^2+13\,B\,a\,b^2\,c^2\,d-23\,B\,a^2\,b\,c\,d^2}{12\,\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\,x^2\,\left(B\,b^3\,c-7\,B\,a\,b^2\,d\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{d\,x\,\left(13\,B\,a^2\,b\,d^2-5\,B\,a\,b^2\,c\,d+B\,b^3\,c^2\right)}{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\,b^3\,d^3\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{4\,a^4\,b\,g^5+16\,a^3\,b^2\,g^5\,x+24\,a^2\,b^3\,g^5\,x^2+16\,a\,b^4\,g^5\,x^3+4\,b^5\,g^5\,x^4}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B\,d^4\,\mathrm{atanh}\left(\frac{-4\,a^4\,b\,d^4\,g^5+8\,a^3\,b^2\,c\,d^3\,g^5-8\,a\,b^4\,c^3\,d\,g^5+4\,b^5\,c^4\,g^5}{4\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{2\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"- ((12*A*a^3*d^3 - 12*A*b^3*c^3 + 25*B*a^3*d^3 - 3*B*b^3*c^3 + 36*A*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 + 13*B*a*b^2*c^2*d - 23*B*a^2*b*c*d^2)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d^2*x^2*(B*b^3*c - 7*B*a*b^2*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d*x*(B*b^3*c^2 + 13*B*a^2*b*d^2 - 5*B*a*b^2*c*d))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*b^3*d^3*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(4*a^4*b*g^5 + 4*b^5*g^5*x^4 + 16*a^3*b^2*g^5*x + 16*a*b^4*g^5*x^3 + 24*a^2*b^3*g^5*x^2) - (B*log((e*(a + b*x))/(c + d*x)))/(4*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*atanh((4*b^5*c^4*g^5 - 4*a^4*b*d^4*g^5 - 8*a*b^4*c^3*d*g^5 + 8*a^3*b^2*c*d^3*g^5)/(4*b*g^5*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(2*b*g^5*(a*d - b*c)^4)","B"
97,0,-1,365,0.000000,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^4\,{\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)^4*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
98,0,-1,309,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\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 \,d x","Not used",1,"int((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
99,0,-1,253,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\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 \,d x","Not used",1,"int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
100,0,-1,180,0.000000,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \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 \,d x","Not used",1,"int((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
101,0,-1,128,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x),x)","\int \frac{{\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((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x), x)","F"
102,1,222,126,5.260368,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x)^2,x)","-\frac{A^2+2\,A\,B+2\,B^2}{x\,b^2\,g^2+a\,b\,g^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B^2\,d}{b\,g^2\,\left(a\,d-b\,c\right)}\right)-\frac{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{2\,B^2}{b^2\,d\,g^2}+\frac{2\,A\,B}{b^2\,d\,g^2}\right)}{\frac{x}{d}+\frac{a}{b\,d}}-\frac{B\,d\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{c\,b^2\,g^2+a\,d\,b\,g^2}{b\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A+B\right)\,4{}\mathrm{i}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- (A^2 + 2*B^2 + 2*A*B)/(b^2*g^2*x + a*b*g^2) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(b^2*g^2*(x + a/b)) - (B^2*d)/(b*g^2*(a*d - b*c))) - (log((e*(a + b*x))/(c + d*x))*((2*B^2)/(b^2*d*g^2) + (2*A*B)/(b^2*d*g^2)))/(x/d + a/(b*d)) - (B*d*atan(((2*b*d*x + (b^2*c*g^2 + a*b*d*g^2)/(b*g^2))*1i)/(a*d - b*c))*(A + B)*4i)/(b*g^2*(a*d - b*c))","B"
103,1,507,268,5.851476,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x)^3,x)","-\frac{\frac{2\,A^2\,a\,d-2\,A^2\,b\,c+7\,B^2\,a\,d-B^2\,b\,c+6\,A\,B\,a\,d-2\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(3\,b\,d\,B^2+2\,A\,b\,d\,B\right)}{a\,d-b\,c}}{2\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{B^2\,d^2}{2\,b\,g^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^2\,d\,g^3}+\frac{B^2\,x\,\left(a\,d-b\,c\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\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)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-\frac{B\,d^2\,\mathrm{atan}\left(\frac{B\,d^2\,\left(2\,b\,d\,x-\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^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\,d^2+2\,A\,B\,d^2\right)}\right)\,\left(2\,A+3\,B\right)\,1{}\mathrm{i}}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((2*A^2*a*d - 2*A^2*b*c + 7*B^2*a*d - B^2*b*c + 6*A*B*a*d - 2*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*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (B^2*d^2)/(2*b*g^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^2*d*g^3) + (B^2*x*(a*d - b*c))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (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)))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - (B*d^2*atan((B*d^2*(2*b*d*x - (b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)))*(2*A + 3*B)*1i)/((a*d - b*c)*(3*B^2*d^2 + 2*A*B*d^2)))*(2*A + 3*B)*1i)/(b*g^3*(a*d - b*c)^2)","B"
104,1,1064,418,7.405381,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x)^4,x)","\frac{\frac{18\,A^2\,a^2\,d^2-36\,A^2\,a\,b\,c\,d+18\,A^2\,b^2\,c^2+66\,A\,B\,a^2\,d^2-42\,A\,B\,a\,b\,c\,d+12\,A\,B\,b^2\,c^2+85\,B^2\,a^2\,d^2-23\,B^2\,a\,b\,c\,d+4\,B^2\,b^2\,c^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-5\,c\,B^2\,b^2\,d+49\,a\,B^2\,b\,d^2-6\,A\,c\,B\,b^2\,d+30\,A\,a\,B\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(11\,d\,B^2\,b^2+6\,A\,d\,B\,b^2\right)}{a\,d-b\,c}}{x\,\left(27\,a^2\,b^3\,c\,g^4-27\,a^3\,b^2\,d\,g^4\right)-x^2\,\left(27\,a^2\,b^3\,d\,g^4-27\,a\,b^4\,c\,g^4\right)+x^3\,\left(9\,b^5\,c\,g^4-9\,a\,b^4\,d\,g^4\right)+9\,a^3\,b^2\,c\,g^4-9\,a^4\,b\,d\,g^4}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{3\,b^2\,g^4\,\left(3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2\right)}-\frac{B^2\,d^3}{3\,b\,g^4\,\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(\frac{2\,A\,B}{3\,b^2\,d\,g^4}+\frac{2\,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)}{3\,b\,g^4\,\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{2\,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)}{3\,b\,g^4\,\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{2\,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)}{3\,b\,g^4\,\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{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\,\mathrm{atan}\left(\frac{B\,d^3\,\left(\frac{a^3\,b\,d^3\,g^4-a^2\,b^2\,c\,d^2\,g^4-a\,b^3\,c^2\,d\,g^4+b^4\,c^3\,g^4}{a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4}+2\,b\,d\,x\right)\,\left(6\,A+11\,B\right)\,\left(a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4\right)\,1{}\mathrm{i}}{b\,g^4\,{\left(a\,d-b\,c\right)}^3\,\left(11\,B^2\,d^3+6\,A\,B\,d^3\right)}\right)\,\left(6\,A+11\,B\right)\,2{}\mathrm{i}}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((18*A^2*a^2*d^2 + 18*A^2*b^2*c^2 + 85*B^2*a^2*d^2 + 4*B^2*b^2*c^2 + 66*A*B*a^2*d^2 + 12*A*B*b^2*c^2 - 36*A^2*a*b*c*d - 23*B^2*a*b*c*d - 42*A*B*a*b*c*d)/(6*(a*d - b*c)) + (x*(49*B^2*a*b*d^2 - 5*B^2*b^2*c*d + 30*A*B*a*b*d^2 - 6*A*B*b^2*c*d))/(2*(a*d - b*c)) + (d*x^2*(11*B^2*b^2*d + 6*A*B*b^2*d))/(a*d - b*c))/(x*(27*a^2*b^3*c*g^4 - 27*a^3*b^2*d*g^4) - x^2*(27*a^2*b^3*d*g^4 - 27*a*b^4*c*g^4) + x^3*(9*b^5*c*g^4 - 9*a*b^4*d*g^4) + 9*a^3*b^2*c*g^4 - 9*a^4*b*d*g^4) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(3*b^2*g^4*(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2)) - (B^2*d^3)/(3*b*g^4*(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))*((2*A*B)/(3*b^2*d*g^4) + (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)))/(3*b*g^4*(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*d^3*x^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(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*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)))/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*atan((B*d^3*((b^4*c^3*g^4 + a^3*b*d^3*g^4 - a*b^3*c^2*d*g^4 - a^2*b^2*c*d^2*g^4)/(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4) + 2*b*d*x)*(6*A + 11*B)*(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4)*1i)/(b*g^4*(a*d - b*c)^3*(11*B^2*d^3 + 6*A*B*d^3)))*(6*A + 11*B)*2i)/(9*b*g^4*(a*d - b*c)^3)","B"
105,1,1881,575,10.303464,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(a*g + b*g*x)^5,x)","-\frac{\frac{72\,A^2\,a^3\,d^3-216\,A^2\,a^2\,b\,c\,d^2+216\,A^2\,a\,b^2\,c^2\,d-72\,A^2\,b^3\,c^3+300\,A\,B\,a^3\,d^3-276\,A\,B\,a^2\,b\,c\,d^2+156\,A\,B\,a\,b^2\,c^2\,d-36\,A\,B\,b^3\,c^3+415\,B^2\,a^3\,d^3-161\,B^2\,a^2\,b\,c\,d^2+55\,B^2\,a\,b^2\,c^2\,d-9\,B^2\,b^3\,c^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2+163\,a\,B^2\,b^2\,d^3-12\,A\,c\,B\,b^3\,d^2+84\,A\,a\,B\,b^2\,d^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3-53\,B^2\,a\,b^2\,c\,d^2+7\,B^2\,b^3\,c^2\,d+156\,A\,B\,a^2\,b\,d^3-60\,A\,B\,a\,b^2\,c\,d^2+12\,A\,B\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2+12\,A\,B\,b^3\,d^2\right)}{a\,d-b\,c}}{x\,\left(96\,a^5\,b^2\,d^2\,g^5-192\,a^4\,b^3\,c\,d\,g^5+96\,a^3\,b^4\,c^2\,g^5\right)+x^3\,\left(96\,a^3\,b^4\,d^2\,g^5-192\,a^2\,b^5\,c\,d\,g^5+96\,a\,b^6\,c^2\,g^5\right)+x^4\,\left(24\,a^2\,b^5\,d^2\,g^5-48\,a\,b^6\,c\,d\,g^5+24\,b^7\,c^2\,g^5\right)+x^2\,\left(144\,a^4\,b^3\,d^2\,g^5-288\,a^3\,b^4\,c\,d\,g^5+144\,a^2\,b^5\,c^2\,g^5\right)+24\,a^6\,b\,d^2\,g^5+24\,a^4\,b^3\,c^2\,g^5-48\,a^5\,b^2\,c\,d\,g^5}-{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}^2\,\left(\frac{B^2}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B^2\,d^4}{4\,b\,g^5\,\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{\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(\frac{A\,B}{2\,b^2\,d\,g^5}+\frac{B^2\,d^4\,\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)}{2\,b\,g^5\,\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^4\,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)}{2\,b\,g^5\,\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^4\,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)}{2\,b\,g^5\,\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^4\,x\,\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)}{2\,b\,g^5\,\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{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\,\mathrm{atan}\left(\frac{B\,d^4\,\left(12\,A+25\,B\right)\,\left(-24\,a^4\,b\,d^4\,g^5+48\,a^3\,b^2\,c\,d^3\,g^5-48\,a\,b^4\,c^3\,d\,g^5+24\,b^5\,c^4\,g^5\right)\,1{}\mathrm{i}}{24\,b\,g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4+12\,A\,B\,d^4\right)}+\frac{B\,d^5\,x\,\left(12\,A+25\,B\right)\,\left(-a^3\,b\,d^3\,g^5+3\,a^2\,b^2\,c\,d^2\,g^5-3\,a\,b^3\,c^2\,d\,g^5+b^4\,c^3\,g^5\right)\,2{}\mathrm{i}}{g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4+12\,A\,B\,d^4\right)}\right)\,\left(12\,A+25\,B\right)\,1{}\mathrm{i}}{12\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B*d^4*atan((B*d^4*(12*A + 25*B)*(24*b^5*c^4*g^5 - 24*a^4*b*d^4*g^5 - 48*a*b^4*c^3*d*g^5 + 48*a^3*b^2*c*d^3*g^5)*1i)/(24*b*g^5*(a*d - b*c)^4*(25*B^2*d^4 + 12*A*B*d^4)) + (B*d^5*x*(12*A + 25*B)*(b^4*c^3*g^5 - a^3*b*d^3*g^5 - 3*a*b^3*c^2*d*g^5 + 3*a^2*b^2*c*d^2*g^5)*2i)/(g^5*(a*d - b*c)^4*(25*B^2*d^4 + 12*A*B*d^4)))*(12*A + 25*B)*1i)/(12*b*g^5*(a*d - b*c)^4) - log((e*(a + b*x))/(c + d*x))^2*(B^2/(4*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)/(4*b*g^5*(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))) - (log((e*(a + b*x))/(c + d*x))*((A*B)/(2*b^2*d*g^5) + (B^2*d^4*(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)))/(2*b*g^5*(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^4*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)))/(2*b*g^5*(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^4*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)))/(2*b*g^5*(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^4*x*(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)))/(2*b*g^5*(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))))/((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) - ((72*A^2*a^3*d^3 - 72*A^2*b^3*c^3 + 415*B^2*a^3*d^3 - 9*B^2*b^3*c^3 + 300*A*B*a^3*d^3 - 36*A*B*b^3*c^3 + 216*A^2*a*b^2*c^2*d - 216*A^2*a^2*b*c*d^2 + 55*B^2*a*b^2*c^2*d - 161*B^2*a^2*b*c*d^2 + 156*A*B*a*b^2*c^2*d - 276*A*B*a^2*b*c*d^2)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3 - 13*B^2*b^3*c*d^2 + 84*A*B*a*b^2*d^3 - 12*A*B*b^3*c*d^2))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3 + 7*B^2*b^3*c^2*d - 53*B^2*a*b^2*c*d^2 + 156*A*B*a^2*b*d^3 + 12*A*B*b^3*c^2*d - 60*A*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2 + 12*A*B*b^3*d^2))/(a*d - b*c))/(x*(96*a^3*b^4*c^2*g^5 + 96*a^5*b^2*d^2*g^5 - 192*a^4*b^3*c*d*g^5) + x^3*(96*a*b^6*c^2*g^5 + 96*a^3*b^4*d^2*g^5 - 192*a^2*b^5*c*d*g^5) + x^4*(24*b^7*c^2*g^5 + 24*a^2*b^5*d^2*g^5 - 48*a*b^6*c*d*g^5) + x^2*(144*a^2*b^5*c^2*g^5 + 144*a^4*b^3*d^2*g^5 - 288*a^3*b^4*c*d*g^5) + 24*a^6*b*d^2*g^5 + 24*a^4*b^3*c^2*g^5 - 48*a^5*b^2*c*d*g^5)","B"
106,1,25,28,4.247632,"\text{Not used}","int(log((d*(a + b*x))/(b*(c + d*x)))/(c*f + d*f*x),x)","\frac{{\mathrm{Li}}_{\mathrm{2}}\left(\frac{d\,\left(a+b\,x\right)}{b\,\left(c+d\,x\right)}\right)}{d\,f}","Not used",1,"dilog((d*(a + b*x))/(b*(c + d*x)))/(d*f)","B"
107,1,15,15,4.026504,"\text{Not used}","int(log(1/(a + b*x) + 1)/(a + b*x),x)","\frac{\mathrm{polylog}\left(2,-\frac{1}{a+b\,x}\right)}{b}","Not used",1,"polylog(2, -1/(a + b*x))/b","B"
108,1,13,13,4.230535,"\text{Not used}","int(log(1 - 1/(a + b*x))/(a + b*x),x)","\frac{\mathrm{polylog}\left(2,\frac{1}{a+b\,x}\right)}{b}","Not used",1,"polylog(2, 1/(a + b*x))/b","B"
109,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x))),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x))), x)","F"
110,0,-1,33,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(a + b*x))/(c + d*x))),x)","\int \frac{a\,g+b\,g\,x}{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(a + b*x))/(c + d*x))), x)","F"
111,0,-1,35,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
112,0,-1,50,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{{\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)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
113,0,-1,107,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{{\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)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
114,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x))/(c + d*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} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
115,0,-1,33,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \frac{a\,g+b\,g\,x}{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
116,0,-1,35,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{\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} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
117,0,-1,103,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{{\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} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
118,0,-1,212,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{{\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} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
119,1,1025,182,4.989740,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{10\,b\,d}+\frac{a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}\right)-x^3\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{3\,d}+\frac{A\,a\,b^3\,c\,g^4}{3\,d}\right)+x\,\left(\frac{a^3\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c+4\,B\,a\,d-4\,B\,b\,c\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{5\,b\,d}+\frac{2\,a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{b\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,a^4\,g^4\,x+2\,B\,a^3\,b\,g^4\,x^2+2\,B\,a^2\,b^2\,g^4\,x^3+B\,a\,b^3\,g^4\,x^4+\frac{B\,b^4\,g^4\,x^5}{5}\right)+x^4\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{20\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(10\,B\,a^4\,c\,d^4\,g^4-20\,B\,a^3\,b\,c^2\,d^3\,g^4+20\,B\,a^2\,b^2\,c^3\,d^2\,g^4-10\,B\,a\,b^3\,c^4\,d\,g^4+2\,B\,b^4\,c^5\,g^4\right)}{5\,d^5}+\frac{A\,b^4\,g^4\,x^5}{5}+\frac{2\,B\,a^5\,g^4\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"x^2*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(10*b*d) + (a^2*b*g^4*(5*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(2*b*d)) - x^3*((((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(15*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(3*d) + (A*a*b^3*c*g^4)/(3*d)) + x*((a^3*g^4*(5*A*a*d + 10*A*b*c + 4*B*a*d - 4*B*b*c))/d - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(5*b*d) + (2*a^2*b*g^4*(5*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(b*d)))/(5*b*d) + (a*c*((((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(b*d)) + log((e*(a + b*x)^2)/(c + d*x)^2)*((B*b^4*g^4*x^5)/5 + B*a^4*g^4*x + 2*B*a^3*b*g^4*x^2 + B*a*b^3*g^4*x^4 + 2*B*a^2*b^2*g^4*x^3) + x^4*((b^3*g^4*(25*A*a*d + 5*A*b*c + 2*B*a*d - 2*B*b*c))/(20*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(20*d)) - (log(c + d*x)*(2*B*b^4*c^5*g^4 + 10*B*a^4*c*d^4*g^4 - 20*B*a^3*b*c^2*d^3*g^4 + 20*B*a^2*b^2*c^3*d^2*g^4 - 10*B*a*b^3*c^4*d*g^4))/(5*d^5) + (A*b^4*g^4*x^5)/5 + (2*B*a^5*g^4*log(a + b*x))/(5*b)","B"
120,1,567,151,4.740049,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,a^3\,g^3\,x+\frac{3\,B\,a^2\,b\,g^3\,x^2}{2}+B\,a\,b^2\,g^3\,x^3+\frac{B\,b^3\,g^3\,x^4}{4}\right)-x^2\,\left(\frac{\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{4\,b\,d}-\frac{a\,b\,g^3\,\left(3\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{2\,d}\right)+x\,\left(\frac{\left(2\,a\,d+2\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}-\frac{2\,a\,b\,g^3\,\left(3\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{d}\right)}{2\,b\,d}+\frac{a^2\,g^3\,\left(4\,A\,a\,d+6\,A\,b\,c+3\,B\,a\,d-3\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)}{b\,d}\right)+x^3\,\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c+B\,a\,d-B\,b\,c\right)}{6\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{6\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,a^3\,c\,d^3\,g^3+6\,B\,a^2\,b\,c^2\,d^2\,g^3-4\,B\,a\,b^2\,c^3\,d\,g^3+B\,b^3\,c^4\,g^3\right)}{2\,d^4}+\frac{A\,b^3\,g^3\,x^4}{4}+\frac{B\,a^4\,g^3\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"log((e*(a + b*x)^2)/(c + d*x)^2)*((B*b^3*g^3*x^4)/4 + B*a^3*g^3*x + (3*B*a^2*b*g^3*x^2)/2 + B*a*b^2*g^3*x^3) - x^2*((((b^2*g^3*(8*A*a*d + 2*A*b*c + B*a*d - B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d))*(2*a*d + 2*b*c))/(4*b*d) - (a*b*g^3*(3*A*a*d + 2*A*b*c + B*a*d - B*b*c))/d + (A*a*b^2*c*g^3)/(2*d)) + x*(((2*a*d + 2*b*c)*((((b^2*g^3*(8*A*a*d + 2*A*b*c + B*a*d - B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d))*(2*a*d + 2*b*c))/(2*b*d) - (2*a*b*g^3*(3*A*a*d + 2*A*b*c + B*a*d - B*b*c))/d + (A*a*b^2*c*g^3)/d))/(2*b*d) + (a^2*g^3*(4*A*a*d + 6*A*b*c + 3*B*a*d - 3*B*b*c))/d - (a*c*((b^2*g^3*(8*A*a*d + 2*A*b*c + B*a*d - B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d)))/(b*d)) + x^3*((b^2*g^3*(8*A*a*d + 2*A*b*c + B*a*d - B*b*c))/(6*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(6*d)) + (log(c + d*x)*(B*b^3*c^4*g^3 - 4*B*a^3*c*d^3*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a*b^2*c^3*d*g^3))/(2*d^4) + (A*b^3*g^3*x^4)/4 + (B*a^4*g^3*log(a + b*x))/(2*b)","B"
121,1,296,120,4.588774,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","x^2\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{6\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{3\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)}{3\,b\,d}-\frac{a\,g^2\,\left(3\,A\,a\,d+3\,A\,b\,c+2\,B\,a\,d-2\,B\,b\,c\right)}{d}+\frac{A\,a\,b\,c\,g^2}{d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,a^2\,g^2\,x+B\,a\,b\,g^2\,x^2+\frac{B\,b^2\,g^2\,x^3}{3}\right)-\frac{\ln\left(c+d\,x\right)\,\left(6\,B\,a^2\,c\,d^2\,g^2-6\,B\,a\,b\,c^2\,d\,g^2+2\,B\,b^2\,c^3\,g^2\right)}{3\,d^3}+\frac{A\,b^2\,g^2\,x^3}{3}+\frac{2\,B\,a^3\,g^2\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"x^2*((b*g^2*(9*A*a*d + 3*A*b*c + 2*B*a*d - 2*B*b*c))/(6*d) - (A*b*g^2*(3*a*d + 3*b*c))/(6*d)) - x*(((3*a*d + 3*b*c)*((b*g^2*(9*A*a*d + 3*A*b*c + 2*B*a*d - 2*B*b*c))/(3*d) - (A*b*g^2*(3*a*d + 3*b*c))/(3*d)))/(3*b*d) - (a*g^2*(3*A*a*d + 3*A*b*c + 2*B*a*d - 2*B*b*c))/d + (A*a*b*c*g^2)/d) + log((e*(a + b*x)^2)/(c + d*x)^2)*((B*b^2*g^2*x^3)/3 + B*a^2*g^2*x + B*a*b*g^2*x^2) - (log(c + d*x)*(2*B*b^2*c^3*g^2 + 6*B*a^2*c*d^2*g^2 - 6*B*a*b*c^2*d*g^2))/(3*d^3) + (A*b^2*g^2*x^3)/3 + (2*B*a^3*g^2*log(a + b*x))/(3*b)","B"
122,1,120,78,4.388948,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","x\,\left(\frac{g\,\left(2\,A\,a\,d+A\,b\,c+B\,a\,d-B\,b\,c\right)}{d}-\frac{A\,g\,\left(a\,d+b\,c\right)}{d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{B\,b\,g\,x^2}{2}+B\,a\,g\,x\right)+\frac{A\,b\,g\,x^2}{2}+\frac{B\,a^2\,g\,\ln\left(a+b\,x\right)}{b}-\frac{B\,c\,g\,\ln\left(c+d\,x\right)\,\left(2\,a\,d-b\,c\right)}{d^2}","Not used",1,"x*((g*(2*A*a*d + A*b*c + B*a*d - B*b*c))/d - (A*g*(a*d + b*c))/d) + log((e*(a + b*x)^2)/(c + d*x)^2)*((B*b*g*x^2)/2 + B*a*g*x) + (A*b*g*x^2)/2 + (B*a^2*g*log(a + b*x))/b - (B*c*g*log(c + d*x)*(2*a*d - b*c))/d^2","B"
123,0,-1,83,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x), x)","F"
124,1,108,65,5.251268,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x)^2,x)","-\frac{A+2\,B}{x\,b^2\,g^2+a\,b\,g^2}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B\,d\,\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}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- (A + 2*B)/(b^2*g^2*x + a*b*g^2) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(b^2*g^2*(x + a/b)) - (B*d*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*4i)/(b*g^2*(a*d - b*c))","B"
125,1,206,138,5.140069,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x)^3,x)","-\frac{\frac{A\,a\,d-A\,b\,c+3\,B\,a\,d-B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,x}{a\,d-b\,c}}{a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{2\,B\,d^2\,\mathrm{atanh}\left(\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((A*a*d - A*b*c + 3*B*a*d - B*b*c)/(2*(a*d - b*c)) + (B*b*d*x)/(a*d - b*c))/(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (2*B*d^2*atanh((b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*g^3*(a*d - b*c)^2)","B"
126,1,341,177,5.800219,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x)^4,x)","\frac{2\,A\,a\,c\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{2\,B\,b\,c^2}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{11\,B\,a^2\,d^2}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{5\,B\,a\,d^2\,x}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{2\,B\,b\,d^2\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{3\,b\,g^4\,{\left(a+b\,x\right)}^3}+\frac{7\,B\,a\,c\,d}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{B\,b\,c\,d\,x}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\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)\,4{}\mathrm{i}}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(2*A*a*c*d)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*4i)/(3*b*g^4*(a*d - b*c)^3) - (A*b*c^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (2*B*b*c^2)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*a^2*d^2)/(3*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (11*B*a^2*d^2)/(9*b*g^4*(a*d - b*c)^2*(a + b*x)^3) - (5*B*a*d^2*x)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (2*B*b*d^2*x^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(3*b*g^4*(a + b*x)^3) + (7*B*a*c*d)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) + (B*b*c*d*x)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3)","B"
127,1,579,208,6.511394,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(a*g + b*g*x)^5,x)","-\frac{\frac{6\,A\,a^3\,d^3-6\,A\,b^3\,c^3+25\,B\,a^3\,d^3-3\,B\,b^3\,c^3+18\,A\,a\,b^2\,c^2\,d-18\,A\,a^2\,b\,c\,d^2+13\,B\,a\,b^2\,c^2\,d-23\,B\,a^2\,b\,c\,d^2}{12\,\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\,x^2\,\left(B\,b^3\,c-7\,B\,a\,b^2\,d\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{d\,x\,\left(13\,B\,a^2\,b\,d^2-5\,B\,a\,b^2\,c\,d+B\,b^3\,c^2\right)}{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\,b^3\,d^3\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{2\,a^4\,b\,g^5+8\,a^3\,b^2\,g^5\,x+12\,a^2\,b^3\,g^5\,x^2+8\,a\,b^4\,g^5\,x^3+2\,b^5\,g^5\,x^4}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B\,d^4\,\mathrm{atanh}\left(\frac{-2\,a^4\,b\,d^4\,g^5+4\,a^3\,b^2\,c\,d^3\,g^5-4\,a\,b^4\,c^3\,d\,g^5+2\,b^5\,c^4\,g^5}{2\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"- ((6*A*a^3*d^3 - 6*A*b^3*c^3 + 25*B*a^3*d^3 - 3*B*b^3*c^3 + 18*A*a*b^2*c^2*d - 18*A*a^2*b*c*d^2 + 13*B*a*b^2*c^2*d - 23*B*a^2*b*c*d^2)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d^2*x^2*(B*b^3*c - 7*B*a*b^2*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d*x*(B*b^3*c^2 + 13*B*a^2*b*d^2 - 5*B*a*b^2*c*d))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*b^3*d^3*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(2*a^4*b*g^5 + 2*b^5*g^5*x^4 + 8*a^3*b^2*g^5*x + 8*a*b^4*g^5*x^3 + 12*a^2*b^3*g^5*x^2) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(4*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*atanh((2*b^5*c^4*g^5 - 2*a^4*b*d^4*g^5 - 4*a*b^4*c^3*d*g^5 + 4*a^3*b^2*c*d^3*g^5)/(2*b*g^5*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(b*g^5*(a*d - b*c)^4)","B"
128,0,-1,377,0.000000,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^4\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^4*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
129,0,-1,319,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
130,0,-1,255,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
131,0,-1,188,0.000000,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
132,0,-1,132,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x), x)","F"
133,1,228,130,5.970970,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x)^2,x)","-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B^2\,d}{b\,g^2\,\left(a\,d-b\,c\right)}\right)-\frac{A^2+4\,A\,B+8\,B^2}{x\,b^2\,g^2+a\,b\,g^2}-\frac{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{4\,B^2}{b^2\,d\,g^2}+\frac{2\,A\,B}{b^2\,d\,g^2}\right)}{\frac{x}{d}+\frac{a}{b\,d}}-\frac{B\,d\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{c\,b^2\,g^2+a\,d\,b\,g^2}{b\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A+2\,B\right)\,8{}\mathrm{i}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"- log((e*(a + b*x)^2)/(c + d*x)^2)^2*(B^2/(b^2*g^2*(x + a/b)) - (B^2*d)/(b*g^2*(a*d - b*c))) - (A^2 + 8*B^2 + 4*A*B)/(b^2*g^2*x + a*b*g^2) - (log((e*(a + b*x)^2)/(c + d*x)^2)*((4*B^2)/(b^2*d*g^2) + (2*A*B)/(b^2*d*g^2)))/(x/d + a/(b*d)) - (B*d*atan(((2*b*d*x + (b^2*c*g^2 + a*b*d*g^2)/(b*g^2))*1i)/(a*d - b*c))*(A + 2*B)*8i)/(b*g^2*(a*d - b*c))","B"
134,1,503,272,5.886679,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x)^3,x)","-\frac{\frac{A^2\,a\,d-A^2\,b\,c+14\,B^2\,a\,d-2\,B^2\,b\,c+6\,A\,B\,a\,d-2\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{2\,x\,\left(3\,b\,d\,B^2+A\,b\,d\,B\right)}{a\,d-b\,c}}{a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{B^2\,d^2}{2\,b\,g^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)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{A\,B}{b^2\,d\,g^3}+\frac{2\,B^2\,x\,\left(a\,d-b\,c\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{B^2\,d^2\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{b\,d^2}\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-\frac{B\,d^2\,\mathrm{atan}\left(\frac{B\,d^2\,\left(2\,b\,d\,x-\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^3\,\left(a\,d-b\,c\right)}\right)\,\left(A+3\,B\right)\,2{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(6\,B^2\,d^2+2\,A\,B\,d^2\right)}\right)\,\left(A+3\,B\right)\,4{}\mathrm{i}}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((A^2*a*d - A^2*b*c + 14*B^2*a*d - 2*B^2*b*c + 6*A*B*a*d - 2*A*B*b*c)/(2*(a*d - b*c)) + (2*x*(3*B^2*b*d + A*B*b*d))/(a*d - b*c))/(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x) - log((e*(a + b*x)^2)/(c + d*x)^2)^2*(B^2/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (B^2*d^2)/(2*b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (log((e*(a + b*x)^2)/(c + d*x)^2)*((A*B)/(b^2*d*g^3) + (2*B^2*x*(a*d - b*c))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (B^2*d^2*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(b*d^3) + (a*(a*d - b*c))/(b*d^2)))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - (B*d^2*atan((B*d^2*(2*b*d*x - (b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)))*(A + 3*B)*2i)/((a*d - b*c)*(6*B^2*d^2 + 2*A*B*d^2)))*(A + 3*B)*4i)/(b*g^3*(a*d - b*c)^2)","B"
135,1,1069,429,7.669429,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x)^4,x)","\frac{\frac{9\,A^2\,a^2\,d^2-18\,A^2\,a\,b\,c\,d+9\,A^2\,b^2\,c^2+66\,A\,B\,a^2\,d^2-42\,A\,B\,a\,b\,c\,d+12\,A\,B\,b^2\,c^2+170\,B^2\,a^2\,d^2-46\,B^2\,a\,b\,c\,d+8\,B^2\,b^2\,c^2}{3\,\left(a\,d-b\,c\right)}+\frac{2\,x\,\left(-5\,c\,B^2\,b^2\,d+49\,a\,B^2\,b\,d^2-3\,A\,c\,B\,b^2\,d+15\,A\,a\,B\,b\,d^2\right)}{a\,d-b\,c}+\frac{4\,d\,x^2\,\left(11\,d\,B^2\,b^2+3\,A\,d\,B\,b^2\right)}{a\,d-b\,c}}{x\,\left(27\,a^2\,b^3\,c\,g^4-27\,a^3\,b^2\,d\,g^4\right)-x^2\,\left(27\,a^2\,b^3\,d\,g^4-27\,a\,b^4\,c\,g^4\right)+x^3\,\left(9\,b^5\,c\,g^4-9\,a\,b^4\,d\,g^4\right)+9\,a^3\,b^2\,c\,g^4-9\,a^4\,b\,d\,g^4}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{3\,b^2\,g^4\,\left(3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2\right)}-\frac{B^2\,d^3}{3\,b\,g^4\,\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)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{2\,A\,B}{3\,b^2\,d\,g^4}+\frac{2\,B^2\,d^3\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,b\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{2\,\left(3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{3\,b\,d^4}\right)}{3\,b\,g^4\,\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{2\,B^2\,d^3\,x^2\,\left(\frac{2\,\left(b^2\,c-a\,b\,d\right)}{3\,d^2}-\frac{4\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b\,g^4\,\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{2\,B^2\,d^3\,x\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,b\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{2\,\left(3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}+\frac{4\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b\,g^4\,\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{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\,\mathrm{atan}\left(\frac{B\,d^3\,\left(\frac{a^3\,b\,d^3\,g^4-a^2\,b^2\,c\,d^2\,g^4-a\,b^3\,c^2\,d\,g^4+b^4\,c^3\,g^4}{a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4}+2\,b\,d\,x\right)\,\left(3\,A+11\,B\right)\,\left(a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4\right)\,4{}\mathrm{i}}{b\,g^4\,{\left(a\,d-b\,c\right)}^3\,\left(44\,B^2\,d^3+12\,A\,B\,d^3\right)}\right)\,\left(3\,A+11\,B\right)\,8{}\mathrm{i}}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((9*A^2*a^2*d^2 + 9*A^2*b^2*c^2 + 170*B^2*a^2*d^2 + 8*B^2*b^2*c^2 + 66*A*B*a^2*d^2 + 12*A*B*b^2*c^2 - 18*A^2*a*b*c*d - 46*B^2*a*b*c*d - 42*A*B*a*b*c*d)/(3*(a*d - b*c)) + (2*x*(49*B^2*a*b*d^2 - 5*B^2*b^2*c*d + 15*A*B*a*b*d^2 - 3*A*B*b^2*c*d))/(a*d - b*c) + (4*d*x^2*(11*B^2*b^2*d + 3*A*B*b^2*d))/(a*d - b*c))/(x*(27*a^2*b^3*c*g^4 - 27*a^3*b^2*d*g^4) - x^2*(27*a^2*b^3*d*g^4 - 27*a*b^4*c*g^4) + x^3*(9*b^5*c*g^4 - 9*a*b^4*d*g^4) + 9*a^3*b^2*c*g^4 - 9*a^4*b*d*g^4) - log((e*(a + b*x)^2)/(c + d*x)^2)^2*(B^2/(3*b^2*g^4*(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2)) - (B^2*d^3)/(3*b*g^4*(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)^2)/(c + d*x)^2)*((2*A*B)/(3*b^2*d*g^4) + (2*B^2*d^3*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*b*d^3) + (2*a*(a*d - b*c))/(3*b*d^2)) + (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*g^4*(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*d^3*x^2*((2*(b^2*c - a*b*d))/(3*d^2) - (4*b*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(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*d^3*x*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*b*d^3) + (2*a*(a*d - b*c))/(3*b*d^2)) + (2*(3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3) + (4*a*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*atan((B*d^3*((b^4*c^3*g^4 + a^3*b*d^3*g^4 - a*b^3*c^2*d*g^4 - a^2*b^2*c*d^2*g^4)/(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4) + 2*b*d*x)*(3*A + 11*B)*(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4)*4i)/(b*g^4*(a*d - b*c)^3*(44*B^2*d^3 + 12*A*B*d^3)))*(3*A + 11*B)*8i)/(9*b*g^4*(a*d - b*c)^3)","B"
136,1,1883,587,10.545893,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(a*g + b*g*x)^5,x)","-\frac{\frac{18\,A^2\,a^3\,d^3-54\,A^2\,a^2\,b\,c\,d^2+54\,A^2\,a\,b^2\,c^2\,d-18\,A^2\,b^3\,c^3+150\,A\,B\,a^3\,d^3-138\,A\,B\,a^2\,b\,c\,d^2+78\,A\,B\,a\,b^2\,c^2\,d-18\,A\,B\,b^3\,c^3+415\,B^2\,a^3\,d^3-161\,B^2\,a^2\,b\,c\,d^2+55\,B^2\,a\,b^2\,c^2\,d-9\,B^2\,b^3\,c^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2+163\,a\,B^2\,b^2\,d^3-6\,A\,c\,B\,b^3\,d^2+42\,A\,a\,B\,b^2\,d^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3-53\,B^2\,a\,b^2\,c\,d^2+7\,B^2\,b^3\,c^2\,d+78\,A\,B\,a^2\,b\,d^3-30\,A\,B\,a\,b^2\,c\,d^2+6\,A\,B\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2+6\,A\,B\,b^3\,d^2\right)}{a\,d-b\,c}}{x\,\left(24\,a^5\,b^2\,d^2\,g^5-48\,a^4\,b^3\,c\,d\,g^5+24\,a^3\,b^4\,c^2\,g^5\right)+x^3\,\left(24\,a^3\,b^4\,d^2\,g^5-48\,a^2\,b^5\,c\,d\,g^5+24\,a\,b^6\,c^2\,g^5\right)+x^4\,\left(6\,a^2\,b^5\,d^2\,g^5-12\,a\,b^6\,c\,d\,g^5+6\,b^7\,c^2\,g^5\right)+x^2\,\left(36\,a^4\,b^3\,d^2\,g^5-72\,a^3\,b^4\,c\,d\,g^5+36\,a^2\,b^5\,c^2\,g^5\right)+6\,a^6\,b\,d^2\,g^5+6\,a^4\,b^3\,c^2\,g^5-12\,a^5\,b^2\,c\,d\,g^5}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B^2\,d^4}{4\,b\,g^5\,\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{\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{A\,B}{2\,b^2\,d\,g^5}+\frac{B^2\,d^4\,\left(a\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,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}{6\,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}{2\,b\,d^5}\right)}{2\,b\,g^5\,\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^4\,x^2\,\left(b\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{2\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{d^2}\right)+\frac{4\,a^2\,b\,d^2-5\,a\,b^2\,c\,d+b^3\,c^2}{2\,d^3}\right)}{2\,b\,g^5\,\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^4\,x^3\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{2\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{2\,d^2}\right)}{2\,b\,g^5\,\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^4\,x\,\left(b\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,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}{6\,b\,d^4}\right)+a\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{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}{2\,d^4}\right)}{2\,b\,g^5\,\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{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\,\mathrm{atan}\left(\frac{B\,d^4\,\left(6\,A+25\,B\right)\,\left(-6\,a^4\,b\,d^4\,g^5+12\,a^3\,b^2\,c\,d^3\,g^5-12\,a\,b^4\,c^3\,d\,g^5+6\,b^5\,c^4\,g^5\right)\,1{}\mathrm{i}}{6\,b\,g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4+6\,A\,B\,d^4\right)}+\frac{B\,d^5\,x\,\left(6\,A+25\,B\right)\,\left(-a^3\,b\,d^3\,g^5+3\,a^2\,b^2\,c\,d^2\,g^5-3\,a\,b^3\,c^2\,d\,g^5+b^4\,c^3\,g^5\right)\,2{}\mathrm{i}}{g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4+6\,A\,B\,d^4\right)}\right)\,\left(6\,A+25\,B\right)\,1{}\mathrm{i}}{3\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B*d^4*atan((B*d^4*(6*A + 25*B)*(6*b^5*c^4*g^5 - 6*a^4*b*d^4*g^5 - 12*a*b^4*c^3*d*g^5 + 12*a^3*b^2*c*d^3*g^5)*1i)/(6*b*g^5*(a*d - b*c)^4*(25*B^2*d^4 + 6*A*B*d^4)) + (B*d^5*x*(6*A + 25*B)*(b^4*c^3*g^5 - a^3*b*d^3*g^5 - 3*a*b^3*c^2*d*g^5 + 3*a^2*b^2*c*d^2*g^5)*2i)/(g^5*(a*d - b*c)^4*(25*B^2*d^4 + 6*A*B*d^4)))*(6*A + 25*B)*1i)/(3*b*g^5*(a*d - b*c)^4) - log((e*(a + b*x)^2)/(c + d*x)^2)^2*(B^2/(4*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)/(4*b*g^5*(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))) - (log((e*(a + b*x)^2)/(c + d*x)^2)*((A*B)/(2*b^2*d*g^5) + (B^2*d^4*(a*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*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)/(6*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)/(2*b*d^5)))/(2*b*g^5*(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^4*x^2*(b*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(3*d^3) + (a*(a*d - b*c))/d^2) - a*((b^2*c - a*b*d)/(2*d^2) - (b*(a*d - b*c))/d^2) + (b^3*c^2 + 4*a^2*b*d^2 - 5*a*b^2*c*d)/(2*d^3)))/(2*b*g^5*(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^4*x^3*(b*((b^2*c - a*b*d)/(2*d^2) - (b*(a*d - b*c))/d^2) + (b^3*c - a*b^2*d)/(2*d^2)))/(2*b*g^5*(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^4*x*(b*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*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)/(6*b*d^4)) + a*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(3*d^3) + (a*(a*d - b*c))/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)/(2*d^4)))/(2*b*g^5*(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))))/((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) - ((18*A^2*a^3*d^3 - 18*A^2*b^3*c^3 + 415*B^2*a^3*d^3 - 9*B^2*b^3*c^3 + 150*A*B*a^3*d^3 - 18*A*B*b^3*c^3 + 54*A^2*a*b^2*c^2*d - 54*A^2*a^2*b*c*d^2 + 55*B^2*a*b^2*c^2*d - 161*B^2*a^2*b*c*d^2 + 78*A*B*a*b^2*c^2*d - 138*A*B*a^2*b*c*d^2)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3 - 13*B^2*b^3*c*d^2 + 42*A*B*a*b^2*d^3 - 6*A*B*b^3*c*d^2))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3 + 7*B^2*b^3*c^2*d - 53*B^2*a*b^2*c*d^2 + 78*A*B*a^2*b*d^3 + 6*A*B*b^3*c^2*d - 30*A*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2 + 6*A*B*b^3*d^2))/(a*d - b*c))/(x*(24*a^3*b^4*c^2*g^5 + 24*a^5*b^2*d^2*g^5 - 48*a^4*b^3*c*d*g^5) + x^3*(24*a*b^6*c^2*g^5 + 24*a^3*b^4*d^2*g^5 - 48*a^2*b^5*c*d*g^5) + x^4*(6*b^7*c^2*g^5 + 6*a^2*b^5*d^2*g^5 - 12*a*b^6*c*d*g^5) + x^2*(36*a^2*b^5*c^2*g^5 + 36*a^4*b^3*d^2*g^5 - 72*a^3*b^4*c*d*g^5) + 6*a^6*b*d^2*g^5 + 6*a^4*b^3*c^2*g^5 - 12*a^5*b^2*c*d*g^5)","B"
137,0,-1,37,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)), x)","F"
138,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\int \frac{a\,g+b\,g\,x}{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)), x)","F"
139,0,-1,37,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
140,0,-1,94,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
141,0,-1,152,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
142,0,-1,37,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
143,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \frac{a\,g+b\,g\,x}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
144,0,-1,37,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
145,0,-1,150,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
146,0,-1,266,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
147,1,936,171,4.563539,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x)^4,x)","x^4\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{20\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)-x^3\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{15\,b\,d}-\frac{a\,b^2\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,d}+\frac{A\,a\,b^3\,c}{3\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,a^4\,x+2\,B\,a^3\,b\,x^2+2\,B\,a^2\,b^2\,x^3+B\,a\,b^3\,x^4+\frac{B\,b^4\,x^5}{5}\right)+x\,\left(\frac{a^3\,\left(5\,A\,a\,d+10\,A\,b\,c+2\,B\,a\,d\,n-2\,B\,b\,c\,n\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{2\,a^2\,b\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{5\,b\,d}-\frac{a\,b^2\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c}{d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{5\,b\,d}-\frac{a\,b^2\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c}{d}\right)}{b\,d}\right)+x^2\,\left(\frac{a^2\,b\,\left(5\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{5\,b\,d}-\frac{a\,b^2\,\left(10\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^3\,c}{d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{b^3\,\left(25\,A\,a\,d+5\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{5\,d}-\frac{A\,b^3\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}\right)+\frac{A\,b^4\,x^5}{5}-\frac{\ln\left(c+d\,x\right)\,\left(5\,B\,n\,a^4\,c\,d^4-10\,B\,n\,a^3\,b\,c^2\,d^3+10\,B\,n\,a^2\,b^2\,c^3\,d^2-5\,B\,n\,a\,b^3\,c^4\,d+B\,n\,b^4\,c^5\right)}{5\,d^5}+\frac{B\,a^5\,n\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"x^4*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(20*d) - (A*b^3*(5*a*d + 5*b*c))/(20*d)) - x^3*(((5*a*d + 5*b*c)*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(15*b*d) - (a*b^2*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(3*d) + (A*a*b^3*c)/(3*d)) + log((e*(a + b*x)^n)/(c + d*x)^n)*((B*b^4*x^5)/5 + B*a^4*x + 2*B*a^3*b*x^2 + B*a*b^3*x^4 + 2*B*a^2*b^2*x^3) + x*((a^3*(5*A*a*d + 10*A*b*c + 2*B*a*d*n - 2*B*b*c*n))/d - ((5*a*d + 5*b*c)*((2*a^2*b*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(5*b*d) - (a*b^2*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c)/d))/(5*b*d) - (a*c*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(b*d)))/(5*b*d) + (a*c*(((5*a*d + 5*b*c)*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(5*b*d) - (a*b^2*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c)/d))/(b*d)) + x^2*((a^2*b*(5*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(5*b*d) - (a*b^2*(10*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^3*c)/d))/(10*b*d) - (a*c*((b^3*(25*A*a*d + 5*A*b*c + B*a*d*n - B*b*c*n))/(5*d) - (A*b^3*(5*a*d + 5*b*c))/(5*d)))/(2*b*d)) + (A*b^4*x^5)/5 - (log(c + d*x)*(B*b^4*c^5*n + 5*B*a^4*c*d^4*n + 10*B*a^2*b^2*c^3*d^2*n - 5*B*a*b^3*c^4*d*n - 10*B*a^3*b*c^2*d^3*n))/(5*d^5) + (B*a^5*n*log(a + b*x))/(5*b)","B"
148,1,520,142,4.485637,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x)^3,x)","x^3\,\left(\frac{b^2\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{12\,d}-\frac{A\,b^2\,\left(4\,a\,d+4\,b\,c\right)}{12\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,a^3\,x+\frac{3\,B\,a^2\,b\,x^2}{2}+B\,a\,b^2\,x^3+\frac{B\,b^3\,x^4}{4}\right)+x\,\left(\frac{a^2\,\left(8\,A\,a\,d+12\,A\,b\,c+3\,B\,a\,d\,n-3\,B\,b\,c\,n\right)}{2\,d}+\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{b^2\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{4\,b\,d}-\frac{a\,b\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b^2\,c}{d}\right)}{4\,b\,d}-\frac{a\,c\,\left(\frac{b^2\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{b^2\,\left(16\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{4\,d}-\frac{A\,b^2\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{8\,b\,d}-\frac{a\,b\,\left(6\,A\,a\,d+4\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{2\,d}+\frac{A\,a\,b^2\,c}{2\,d}\right)+\frac{A\,b^3\,x^4}{4}+\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,n\,a^3\,c\,d^3+6\,B\,n\,a^2\,b\,c^2\,d^2-4\,B\,n\,a\,b^2\,c^3\,d+B\,n\,b^3\,c^4\right)}{4\,d^4}+\frac{B\,a^4\,n\,\ln\left(a+b\,x\right)}{4\,b}","Not used",1,"x^3*((b^2*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(12*d) - (A*b^2*(4*a*d + 4*b*c))/(12*d)) + log((e*(a + b*x)^n)/(c + d*x)^n)*((B*b^3*x^4)/4 + B*a^3*x + (3*B*a^2*b*x^2)/2 + B*a*b^2*x^3) + x*((a^2*(8*A*a*d + 12*A*b*c + 3*B*a*d*n - 3*B*b*c*n))/(2*d) + ((4*a*d + 4*b*c)*(((4*a*d + 4*b*c)*((b^2*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*(4*a*d + 4*b*c))/(4*d)))/(4*b*d) - (a*b*(6*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b^2*c)/d))/(4*b*d) - (a*c*((b^2*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*(4*a*d + 4*b*c))/(4*d)))/(b*d)) - x^2*(((4*a*d + 4*b*c)*((b^2*(16*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(4*d) - (A*b^2*(4*a*d + 4*b*c))/(4*d)))/(8*b*d) - (a*b*(6*A*a*d + 4*A*b*c + B*a*d*n - B*b*c*n))/(2*d) + (A*a*b^2*c)/(2*d)) + (A*b^3*x^4)/4 + (log(c + d*x)*(B*b^3*c^4*n - 4*B*a^3*c*d^3*n - 4*B*a*b^2*c^3*d*n + 6*B*a^2*b*c^2*d^2*n))/(4*d^4) + (B*a^4*n*log(a + b*x))/(4*b)","B"
149,1,262,113,4.238554,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x)^2,x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,a^2\,x+B\,a\,b\,x^2+\frac{B\,b^2\,x^3}{3}\right)+x^2\,\left(\frac{b\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{6\,d}-\frac{A\,b\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-x\,\left(\frac{\left(\frac{b\,\left(9\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{3\,d}-\frac{A\,b\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}-\frac{a\,\left(3\,A\,a\,d+3\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n\right)}{d}+\frac{A\,a\,b\,c}{d}\right)+\frac{A\,b^2\,x^3}{3}-\frac{\ln\left(c+d\,x\right)\,\left(3\,B\,n\,a^2\,c\,d^2-3\,B\,n\,a\,b\,c^2\,d+B\,n\,b^2\,c^3\right)}{3\,d^3}+\frac{B\,a^3\,n\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"log((e*(a + b*x)^n)/(c + d*x)^n)*((B*b^2*x^3)/3 + B*a^2*x + B*a*b*x^2) + x^2*((b*(9*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/(6*d) - (A*b*(3*a*d + 3*b*c))/(6*d)) - x*((((b*(9*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/(3*d) - (A*b*(3*a*d + 3*b*c))/(3*d))*(3*a*d + 3*b*c))/(3*b*d) - (a*(3*A*a*d + 3*A*b*c + B*a*d*n - B*b*c*n))/d + (A*a*b*c)/d) + (A*b^2*x^3)/3 - (log(c + d*x)*(B*b^2*c^3*n + 3*B*a^2*c*d^2*n - 3*B*a*b*c^2*d*n))/(3*d^3) + (B*a^3*n*log(a + b*x))/(3*b)","B"
150,1,127,84,4.283284,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))*(a + b*x),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{B\,b\,x^2}{2}+B\,a\,x\right)+x\,\left(\frac{4\,A\,a\,d+2\,A\,b\,c+B\,a\,d\,n-B\,b\,c\,n}{2\,d}-\frac{A\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^2\,n-2\,B\,a\,c\,d\,n\right)}{2\,d^2}+\frac{A\,b\,x^2}{2}+\frac{B\,a^2\,n\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"log((e*(a + b*x)^n)/(c + d*x)^n)*(B*a*x + (B*b*x^2)/2) + x*((4*A*a*d + 2*A*b*c + B*a*d*n - B*b*c*n)/(2*d) - (A*(2*a*d + 2*b*c))/(2*d)) + (log(c + d*x)*(B*b*c^2*n - 2*B*a*c*d*n))/(2*d^2) + (A*b*x^2)/2 + (B*a^2*n*log(a + b*x))/(2*b)","B"
151,0,-1,79,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{a+b\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x), x)","F"
152,1,97,97,4.909405,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x)^2,x)","-\frac{A+B\,n}{x\,b^2+a\,b}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{b\,\left(a+b\,x\right)}-\frac{B\,d\,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}}{b\,\left(a\,d-b\,c\right)}","Not used",1,"- (A + B*n)/(a*b + b^2*x) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(b*(a + b*x)) - (B*d*n*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(b*(a*d - b*c))","B"
153,1,192,137,4.663460,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x)^3,x)","-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c+3\,B\,a\,d\,n-B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{B\,b\,d\,n\,x}{a\,d-b\,c}}{2\,a^2\,b+4\,a\,b^2\,x+2\,b^3\,x^2}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{2\,b\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}-\frac{B\,d^2\,n\,\mathrm{atanh}\left(\frac{2\,b^3\,c^2-2\,a^2\,b\,d^2}{2\,b\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- ((2*A*a*d - 2*A*b*c + 3*B*a*d*n - B*b*c*n)/(2*(a*d - b*c)) + (B*b*d*n*x)/(a*d - b*c))/(2*a^2*b + 2*b^3*x^2 + 4*a*b^2*x) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(2*b*(a^2 + b^2*x^2 + 2*a*b*x)) - (B*d^2*n*atanh((2*b^3*c^2 - 2*a^2*b*d^2)/(2*b*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*(a*d - b*c)^2)","B"
154,1,317,166,4.912063,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x)^4,x)","\frac{2\,A\,a\,c\,d}{3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{3\,b\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,c^2\,n}{9\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{5\,B\,a\,d^2\,n\,x}{6\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,d^2\,n\,x^2}{3\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{7\,B\,a\,c\,d\,n}{18\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{11\,B\,a^2\,d^2\,n}{18\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{B\,b\,c\,d\,n\,x}{6\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,d^3\,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}}{3\,b\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(2*A*a*c*d)/(3*(a*d - b*c)^2*(a + b*x)^3) - (A*b*c^2)/(3*(a*d - b*c)^2*(a + b*x)^3) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(3*b*(a + b*x)^3) - (A*a^2*d^2)/(3*b*(a*d - b*c)^2*(a + b*x)^3) - (B*b*c^2*n)/(9*(a*d - b*c)^2*(a + b*x)^3) - (B*d^3*n*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(3*b*(a*d - b*c)^3) - (5*B*a*d^2*n*x)/(6*(a*d - b*c)^2*(a + b*x)^3) - (B*b*d^2*n*x^2)/(3*(a*d - b*c)^2*(a + b*x)^3) + (7*B*a*c*d*n)/(18*(a*d - b*c)^2*(a + b*x)^3) - (11*B*a^2*d^2*n)/(18*b*(a*d - b*c)^2*(a + b*x)^3) + (B*b*c*d*n*x)/(6*(a*d - b*c)^2*(a + b*x)^3)","B"
155,1,555,195,5.334452,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(a + b*x)^5,x)","-\frac{\frac{12\,A\,a^3\,d^3-12\,A\,b^3\,c^3+25\,B\,a^3\,d^3\,n-3\,B\,b^3\,c^3\,n+36\,A\,a\,b^2\,c^2\,d-36\,A\,a^2\,b\,c\,d^2+13\,B\,a\,b^2\,c^2\,d\,n-23\,B\,a^2\,b\,c\,d^2\,n}{12\,\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\,\left(13\,B\,n\,a^2\,b\,d^2-5\,B\,n\,a\,b^2\,c\,d+B\,n\,b^3\,c^2\right)}{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^2\,x^2\,\left(B\,b^3\,c\,n-7\,B\,a\,b^2\,d\,n\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\,b^3\,d^3\,n\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{4\,a^4\,b+16\,a^3\,b^2\,x+24\,a^2\,b^3\,x^2+16\,a\,b^4\,x^3+4\,b^5\,x^4}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{4\,b\,\left(a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4\right)}-\frac{B\,d^4\,n\,\mathrm{atanh}\left(\frac{-4\,a^4\,b\,d^4+8\,a^3\,b^2\,c\,d^3-8\,a\,b^4\,c^3\,d+4\,b^5\,c^4}{4\,b\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{2\,b\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"- ((12*A*a^3*d^3 - 12*A*b^3*c^3 + 25*B*a^3*d^3*n - 3*B*b^3*c^3*n + 36*A*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 + 13*B*a*b^2*c^2*d*n - 23*B*a^2*b*c*d^2*n)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d*x*(B*b^3*c^2*n + 13*B*a^2*b*d^2*n - 5*B*a*b^2*c*d*n))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d^2*x^2*(B*b^3*c*n - 7*B*a*b^2*d*n))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B*b^3*d^3*n*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(4*a^4*b + 4*b^5*x^4 + 16*a^3*b^2*x + 16*a*b^4*x^3 + 24*a^2*b^3*x^2) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(4*b*(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)) - (B*d^4*n*atanh((4*b^5*c^4 - 4*a^4*b*d^4 + 8*a^3*b^2*c*d^3 - 8*a*b^4*c^3*d)/(4*b*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(2*b*(a*d - b*c)^4)","B"
156,0,-1,322,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x)^3,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x)^3, x)","F"
157,0,-1,263,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x)^2,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x)^2, x)","F"
158,0,-1,195,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x),x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^2\,\left(a+b\,x\right) \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2*(a + b*x), x)","F"
159,0,-1,131,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*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}{a+b\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*x), x)","F"
160,1,200,129,5.268960,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*x)^2,x)","-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{2\,A\,B}{x\,b^2+a\,b}+\frac{2\,B^2\,n}{x\,b^2+a\,b}\right)-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{B^2}{b\,\left(a+b\,x\right)}-\frac{B^2\,d}{b\,\left(a\,d-b\,c\right)}\right)-\frac{A^2+2\,A\,B\,n+2\,B^2\,n^2}{x\,b^2+a\,b}-\frac{B\,d\,n\,\mathrm{atan}\left(\frac{\left(\frac{c\,b^2+a\,d\,b}{b}+2\,b\,d\,x\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A+B\,n\right)\,4{}\mathrm{i}}{b\,\left(a\,d-b\,c\right)}","Not used",1,"- log((e*(a + b*x)^n)/(c + d*x)^n)*((2*A*B)/(a*b + b^2*x) + (2*B^2*n)/(a*b + b^2*x)) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*(B^2/(b*(a + b*x)) - (B^2*d)/(b*(a*d - b*c))) - (A^2 + 2*B^2*n^2 + 2*A*B*n)/(a*b + b^2*x) - (B*d*n*atan((((b^2*c + a*b*d)/b + 2*b*d*x)*1i)/(a*d - b*c))*(A + B*n)*4i)/(b*(a*d - b*c))","B"
161,1,444,274,5.316382,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*x)^3,x)","-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{B^2}{2\,b\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}-\frac{B^2\,d^2}{2\,b\,\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+7\,B^2\,a\,d\,n^2-B^2\,b\,c\,n^2+6\,A\,B\,a\,d\,n-2\,A\,B\,b\,c\,n}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x\,\left(3\,b\,B^2\,n^2+2\,A\,b\,B\,n\right)}{a\,d-b\,c}}{2\,a^2\,b+4\,a\,b^2\,x+2\,b^3\,x^2}-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{A\,B}{a^2\,b+2\,a\,b^2\,x+b^3\,x^2}+\frac{B^2\,d^2\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{2\,d^2}+\frac{b^2\,n\,x\,\left(a\,d-b\,c\right)}{d}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)}{b\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^2\,b+2\,a\,b^2\,x+b^3\,x^2\right)}\right)-\frac{B\,d^2\,n\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x-\frac{2\,b^3\,c^2-2\,a^2\,b\,d^2}{2\,b\,\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}}{b\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log((e*(a + b*x)^n)/(c + d*x)^n)^2*(B^2/(2*b*(a^2 + b^2*x^2 + 2*a*b*x)) - (B^2*d^2)/(2*b*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((2*A^2*a*d - 2*A^2*b*c + 7*B^2*a*d*n^2 - B^2*b*c*n^2 + 6*A*B*a*d*n - 2*A*B*b*c*n)/(2*(a*d - b*c)) + (d*x*(3*B^2*b*n^2 + 2*A*B*b*n))/(a*d - b*c))/(2*a^2*b + 2*b^3*x^2 + 4*a*b^2*x) - log((e*(a + b*x)^n)/(c + d*x)^n)*((A*B)/(a^2*b + b^3*x^2 + 2*a*b^2*x) + (B^2*d^2*((b*n*(a*d - b*c)*(2*a*d - b*c))/(2*d^2) + (b^2*n*x*(a*d - b*c))/d + (a*b*n*(a*d - b*c))/(2*d)))/(b*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*b + b^3*x^2 + 2*a*b^2*x))) - (B*d^2*n*atan(((2*b*d*x - (2*b^3*c^2 - 2*a^2*b*d^2)/(2*b*(a*d - b*c)))*1i)/(a*d - b*c))*(2*A + 3*B*n)*1i)/(b*(a*d - b*c)^2)","B"
162,1,911,427,6.841599,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*x)^4,x)","\frac{\frac{18\,A^2\,a^2\,d^2-36\,A^2\,a\,b\,c\,d+18\,A^2\,b^2\,c^2+66\,A\,B\,a^2\,d^2\,n-42\,A\,B\,a\,b\,c\,d\,n+12\,A\,B\,b^2\,c^2\,n+85\,B^2\,a^2\,d^2\,n^2-23\,B^2\,a\,b\,c\,d\,n^2+4\,B^2\,b^2\,c^2\,n^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-5\,c\,B^2\,b^2\,d\,n^2+49\,a\,B^2\,b\,d^2\,n^2-6\,A\,c\,B\,b^2\,d\,n+30\,A\,a\,B\,b\,d^2\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(11\,d\,B^2\,b^2\,n^2+6\,A\,d\,B\,b^2\,n\right)}{a\,d-b\,c}}{x^3\,\left(9\,b^5\,c-9\,a\,b^4\,d\right)+x\,\left(27\,a^2\,b^3\,c-27\,a^3\,b^2\,d\right)-x^2\,\left(27\,a^2\,b^3\,d-27\,a\,b^4\,c\right)+9\,a^3\,b^2\,c-9\,a^4\,b\,d}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{B^2}{3\,b\,\left(a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3\right)}-\frac{B^2\,d^3}{3\,b\,\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(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{2\,A\,B}{3\,\left(a^3\,b+3\,a^2\,b^2\,x+3\,a\,b^3\,x^2+b^4\,x^3\right)}+\frac{2\,B^2\,d^3\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+x\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{2\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{2\,a\,b^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{d^2}\right)+\frac{b\,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}+\frac{3\,b^3\,n\,x^2\,\left(a\,d-b\,c\right)}{d}\right)}{9\,b\,\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(a^3\,b+3\,a^2\,b^2\,x+3\,a\,b^3\,x^2+b^4\,x^3\right)}\right)-\frac{B\,d^3\,n\,\mathrm{atan}\left(\frac{B\,d^3\,n\,\left(6\,A+11\,B\,n\right)\,\left(\frac{a^3\,b\,d^3-a^2\,b^2\,c\,d^2-a\,b^3\,c^2\,d+b^4\,c^3}{a^2\,b\,d^2-2\,a\,b^2\,c\,d+b^3\,c^2}+2\,b\,d\,x\right)\,\left(a^2\,b\,d^2-2\,a\,b^2\,c\,d+b^3\,c^2\right)\,1{}\mathrm{i}}{b\,\left(11\,B^2\,d^3\,n^2+6\,A\,B\,d^3\,n\right)\,{\left(a\,d-b\,c\right)}^3}\right)\,\left(6\,A+11\,B\,n\right)\,2{}\mathrm{i}}{9\,b\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((18*A^2*a^2*d^2 + 18*A^2*b^2*c^2 + 85*B^2*a^2*d^2*n^2 + 4*B^2*b^2*c^2*n^2 - 36*A^2*a*b*c*d + 66*A*B*a^2*d^2*n + 12*A*B*b^2*c^2*n - 23*B^2*a*b*c*d*n^2 - 42*A*B*a*b*c*d*n)/(6*(a*d - b*c)) + (x*(49*B^2*a*b*d^2*n^2 - 5*B^2*b^2*c*d*n^2 + 30*A*B*a*b*d^2*n - 6*A*B*b^2*c*d*n))/(2*(a*d - b*c)) + (d*x^2*(11*B^2*b^2*d*n^2 + 6*A*B*b^2*d*n))/(a*d - b*c))/(x^3*(9*b^5*c - 9*a*b^4*d) + x*(27*a^2*b^3*c - 27*a^3*b^2*d) - x^2*(27*a^2*b^3*d - 27*a*b^4*c) + 9*a^3*b^2*c - 9*a^4*b*d) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*(B^2/(3*b*(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)) - (B^2*d^3)/(3*b*(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)^n)/(c + d*x)^n)*((2*A*B)/(3*(a^3*b + b^4*x^3 + 3*a^2*b^2*x + 3*a*b^3*x^2)) + (2*B^2*d^3*(a*((b*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2) + (a*b*n*(a*d - b*c))/d) + x*(b*((b*n*(a*d - b*c)*(3*a*d - b*c))/(2*d^2) + (a*b*n*(a*d - b*c))/d) + (2*a*b^2*n*(a*d - b*c))/d + (b^2*n*(a*d - b*c)*(3*a*d - b*c))/d^2) + (b*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3 + (3*b^3*n*x^2*(a*d - b*c))/d))/(9*b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^3*b + b^4*x^3 + 3*a^2*b^2*x + 3*a*b^3*x^2))) - (B*d^3*n*atan((B*d^3*n*(6*A + 11*B*n)*((b^4*c^3 + a^3*b*d^3 - a^2*b^2*c*d^2 - a*b^3*c^2*d)/(b^3*c^2 + a^2*b*d^2 - 2*a*b^2*c*d) + 2*b*d*x)*(b^3*c^2 + a^2*b*d^2 - 2*a*b^2*c*d)*1i)/(b*(11*B^2*d^3*n^2 + 6*A*B*d^3*n)*(a*d - b*c)^3))*(6*A + 11*B*n)*2i)/(9*b*(a*d - b*c)^3)","B"
163,1,1579,587,9.607081,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(a + b*x)^5,x)","-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{A\,B}{2\,\left(a^4\,b+4\,a^3\,b^2\,x+6\,a^2\,b^3\,x^2+4\,a\,b^4\,x^3+b^5\,x^4\right)}+\frac{B^2\,d^4\,\left(x^2\,\left(b\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{a\,b^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{3\,a\,b^3\,n\,\left(a\,d-b\,c\right)}{2\,d}+\frac{b^3\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{2\,d^2}\right)+a\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{6\,d^3}\right)+x\,\left(b\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{6\,d^3}\right)+a\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{2\,d}\right)+\frac{a\,b^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^2\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^2\,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{b\,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{2\,b^4\,n\,x^3\,\left(a\,d-b\,c\right)}{d}\right)}{4\,b\,\left(a^4\,b+4\,a^3\,b^2\,x+6\,a^2\,b^3\,x^2+4\,a\,b^4\,x^3+b^5\,x^4\right)\,\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)-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{B^2}{4\,b\,\left(a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4\right)}-\frac{B^2\,d^4}{4\,b\,\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{72\,A^2\,a^3\,d^3-216\,A^2\,a^2\,b\,c\,d^2+216\,A^2\,a\,b^2\,c^2\,d-72\,A^2\,b^3\,c^3+300\,A\,B\,a^3\,d^3\,n-276\,A\,B\,a^2\,b\,c\,d^2\,n+156\,A\,B\,a\,b^2\,c^2\,d\,n-36\,A\,B\,b^3\,c^3\,n+415\,B^2\,a^3\,d^3\,n^2-161\,B^2\,a^2\,b\,c\,d^2\,n^2+55\,B^2\,a\,b^2\,c^2\,d\,n^2-9\,B^2\,b^3\,c^3\,n^2}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2\,n^2+163\,a\,B^2\,b^2\,d^3\,n^2-12\,A\,c\,B\,b^3\,d^2\,n+84\,A\,a\,B\,b^2\,d^3\,n\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3\,n^2-53\,B^2\,a\,b^2\,c\,d^2\,n^2+7\,B^2\,b^3\,c^2\,d\,n^2+156\,A\,B\,a^2\,b\,d^3\,n-60\,A\,B\,a\,b^2\,c\,d^2\,n+12\,A\,B\,b^3\,c^2\,d\,n\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2\,n^2+12\,A\,B\,b^3\,d^2\,n\right)}{a\,d-b\,c}}{x\,\left(96\,a^5\,b^2\,d^2-192\,a^4\,b^3\,c\,d+96\,a^3\,b^4\,c^2\right)+x^3\,\left(96\,a^3\,b^4\,d^2-192\,a^2\,b^5\,c\,d+96\,a\,b^6\,c^2\right)+x^4\,\left(24\,a^2\,b^5\,d^2-48\,a\,b^6\,c\,d+24\,b^7\,c^2\right)+x^2\,\left(144\,a^4\,b^3\,d^2-288\,a^3\,b^4\,c\,d+144\,a^2\,b^5\,c^2\right)+24\,a^6\,b\,d^2+24\,a^4\,b^3\,c^2-48\,a^5\,b^2\,c\,d}+\frac{B\,d^4\,n\,\mathrm{atan}\left(\frac{B\,d^4\,n\,\left(12\,A+25\,B\,n\right)\,\left(\frac{-a^4\,b\,d^4+2\,a^3\,b^2\,c\,d^3-2\,a\,b^4\,c^3\,d+b^5\,c^4}{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}+2\,b\,d\,x\right)\,\left(-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3\right)\,1{}\mathrm{i}}{b\,\left(25\,B^2\,d^4\,n^2+12\,A\,B\,d^4\,n\right)\,{\left(a\,d-b\,c\right)}^4}\right)\,\left(12\,A+25\,B\,n\right)\,1{}\mathrm{i}}{12\,b\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(B*d^4*n*atan((B*d^4*n*(12*A + 25*B*n)*((b^5*c^4 - a^4*b*d^4 + 2*a^3*b^2*c*d^3 - 2*a*b^4*c^3*d)/(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d) + 2*b*d*x)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)*1i)/(b*(25*B^2*d^4*n^2 + 12*A*B*d^4*n)*(a*d - b*c)^4))*(12*A + 25*B*n)*1i)/(12*b*(a*d - b*c)^4) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*(B^2/(4*b*(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)) - (B^2*d^4)/(4*b*(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))) - ((72*A^2*a^3*d^3 - 72*A^2*b^3*c^3 + 415*B^2*a^3*d^3*n^2 - 9*B^2*b^3*c^3*n^2 + 216*A^2*a*b^2*c^2*d - 216*A^2*a^2*b*c*d^2 + 300*A*B*a^3*d^3*n - 36*A*B*b^3*c^3*n + 55*B^2*a*b^2*c^2*d*n^2 - 161*B^2*a^2*b*c*d^2*n^2 + 156*A*B*a*b^2*c^2*d*n - 276*A*B*a^2*b*c*d^2*n)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3*n^2 - 13*B^2*b^3*c*d^2*n^2 + 84*A*B*a*b^2*d^3*n - 12*A*B*b^3*c*d^2*n))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3*n^2 + 7*B^2*b^3*c^2*d*n^2 - 53*B^2*a*b^2*c*d^2*n^2 + 156*A*B*a^2*b*d^3*n + 12*A*B*b^3*c^2*d*n - 60*A*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2*n^2 + 12*A*B*b^3*d^2*n))/(a*d - b*c))/(x*(96*a^3*b^4*c^2 + 96*a^5*b^2*d^2 - 192*a^4*b^3*c*d) + x^3*(96*a*b^6*c^2 + 96*a^3*b^4*d^2 - 192*a^2*b^5*c*d) + x^4*(24*b^7*c^2 + 24*a^2*b^5*d^2 - 48*a*b^6*c*d) + x^2*(144*a^2*b^5*c^2 + 144*a^4*b^3*d^2 - 288*a^3*b^4*c*d) + 24*a^6*b*d^2 + 24*a^4*b^3*c^2 - 48*a^5*b^2*c*d) - log((e*(a + b*x)^n)/(c + d*x)^n)*((A*B)/(2*(a^4*b + b^5*x^4 + 4*a^3*b^2*x + 4*a*b^4*x^3 + 6*a^2*b^3*x^2)) + (B^2*d^4*(x^2*(b*(b*((b*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(2*d)) + (a*b^2*n*(a*d - b*c))/d + (b^2*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2)) + (3*a*b^3*n*(a*d - b*c))/(2*d) + (b^3*n*(a*d - b*c)*(4*a*d - b*c))/(2*d^2)) + a*(a*((b*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(2*d)) + (b*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(6*d^3)) + x*(b*(a*((b*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(2*d)) + (b*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(6*d^3)) + a*(b*((b*n*(a*d - b*c)*(4*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(2*d)) + (a*b^2*n*(a*d - b*c))/d + (b^2*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2)) + (b^2*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(2*d^3)) + (b*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) + (2*b^4*n*x^3*(a*d - b*c))/d))/(4*b*(a^4*b + b^5*x^4 + 4*a^3*b^2*x + 4*a*b^4*x^3 + 6*a^2*b^3*x^2)*(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"
164,0,-1,809,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x)^3,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x)^3, x)","F"
165,0,-1,614,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x)^2,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x)^2, x)","F"
166,0,-1,376,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x),x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3\,\left(a+b\,x\right) \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3*(a + b*x), x)","F"
167,0,-1,186,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*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}{a+b\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*x), x)","F"
168,1,474,184,6.060183,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*x)^2,x)","-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{3\,B\,b\,d\,A^2\,x^2+3\,B\,\left(a\,d+b\,c\right)\,A^2\,x+3\,B\,a\,c\,A^2}{b\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}+\frac{6\,d\,\left(n\,B^3+A\,B^2\right)\,\left(b^2\,n\,x^2\,\left(a\,d-b\,c\right)+\frac{a\,b\,c\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b\,n\,x\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)}{b^2\,\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^2\,\left(c+d\,x\right)}\right)-\frac{A^3+3\,A^2\,B\,n+6\,A\,B^2\,n^2+6\,B^3\,n^3}{x\,b^2+a\,b}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{3\,A\,B^2}{x\,b^2+a\,b}+\frac{3\,B^3\,n}{x\,b^2+a\,b}-\frac{3\,d\,\left(n\,B^3+A\,B^2\right)}{b\,\left(a\,d-b\,c\right)}\right)-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3\,\left(\frac{B^3}{b\,\left(a+b\,x\right)}-\frac{B^3\,d}{b\,\left(a\,d-b\,c\right)}\right)-\frac{B\,d\,n\,\mathrm{atan}\left(\frac{B\,d\,n\,\left(\frac{c\,b^2+a\,d\,b}{b}+2\,b\,d\,x\right)\,\left(A^2+2\,A\,B\,n+2\,B^2\,n^2\right)\,3{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(3\,d\,A^2\,B\,n+6\,d\,A\,B^2\,n^2+6\,d\,B^3\,n^3\right)}\right)\,\left(A^2+2\,A\,B\,n+2\,B^2\,n^2\right)\,6{}\mathrm{i}}{b\,\left(a\,d-b\,c\right)}","Not used",1,"- log((e*(a + b*x)^n)/(c + d*x)^n)*((3*A^2*B*a*c + 3*A^2*B*x*(a*d + b*c) + 3*A^2*B*b*d*x^2)/(b*(a + b*x)^2*(c + d*x)) + (6*d*(A*B^2 + B^3*n)*(b^2*n*x^2*(a*d - b*c) + (a*b*c*n*(a*d - b*c))/d + (b*n*x*(a*d + b*c)*(a*d - b*c))/d))/(b^2*(a*d - b*c)*(a + b*x)^2*(c + d*x))) - (A^3 + 6*B^3*n^3 + 6*A*B^2*n^2 + 3*A^2*B*n)/(a*b + b^2*x) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*((3*A*B^2)/(a*b + b^2*x) + (3*B^3*n)/(a*b + b^2*x) - (3*d*(A*B^2 + B^3*n))/(b*(a*d - b*c))) - log((e*(a + b*x)^n)/(c + d*x)^n)^3*(B^3/(b*(a + b*x)) - (B^3*d)/(b*(a*d - b*c))) - (B*d*n*atan((B*d*n*((b^2*c + a*b*d)/b + 2*b*d*x)*(A^2 + 2*B^2*n^2 + 2*A*B*n)*3i)/((a*d - b*c)*(6*B^3*d*n^3 + 3*A^2*B*d*n + 6*A*B^2*d*n^2)))*(A^2 + 2*B^2*n^2 + 2*A*B*n)*6i)/(b*(a*d - b*c))","B"
169,1,966,390,8.988361,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*x)^3,x)","-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3\,\left(\frac{B^3}{2\,b\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}-\frac{B^3\,d^2}{2\,b\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{4\,A^3\,a\,d-4\,A^3\,b\,c+45\,B^3\,a\,d\,n^3-3\,B^3\,b\,c\,n^3+18\,A^2\,B\,a\,d\,n-6\,A^2\,B\,b\,c\,n+42\,A\,B^2\,a\,d\,n^2-6\,A\,B^2\,b\,c\,n^2}{2\,\left(a\,d-b\,c\right)}+\frac{3\,x\,\left(2\,b\,d\,A^2\,B\,n+6\,b\,d\,A\,B^2\,n^2+7\,b\,d\,B^3\,n^3\right)}{a\,d-b\,c}}{4\,a^2\,b+8\,a\,b^2\,x+4\,b^3\,x^2}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{3\,A\,B^2}{2\,\left(a^2\,b+2\,a\,b^2\,x+b^3\,x^2\right)}-\frac{3\,d^2\,\left(3\,n\,B^3+2\,A\,B^2\right)}{4\,b\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}+\frac{3\,B^3\,d^2\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{d^2}+\frac{2\,b^2\,n\,x\,\left(a\,d-b\,c\right)}{d}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)}{4\,b\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)\,\left(a^2\,b+2\,a\,b^2\,x+b^3\,x^2\right)}\right)-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{3\,B\,b\,d\,\left(A^2-B^2\,n^2\right)\,x^2+3\,B\,\left(a\,d+b\,c\right)\,\left(A^2-B^2\,n^2\right)\,x+3\,B\,a\,c\,\left(A^2-B^2\,n^2\right)}{2\,b\,{\left(a+b\,x\right)}^3\,\left(c+d\,x\right)}+\frac{3\,d^2\,\left(3\,n\,B^3+2\,A\,B^2\right)\,\left(x\,\left(\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)\,\left(a\,d+b\,c\right)+\frac{2\,a\,b^2\,c\,n\,\left(a\,d-b\,c\right)}{d}\right)+x^2\,\left(b\,d\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{2\,b^2\,n\,\left(a\,d+b\,c\right)\,\left(a\,d-b\,c\right)}{d}\right)+a\,c\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(2\,a\,d-b\,c\right)}{d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+2\,b^3\,n\,x^3\,\left(a\,d-b\,c\right)\right)}{4\,b^2\,{\left(a+b\,x\right)}^3\,\left(c+d\,x\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{B\,d^2\,n\,\mathrm{atan}\left(\frac{B\,d^2\,n\,\left(2\,b\,d\,x-\frac{b^3\,c^2-a^2\,b\,d^2}{b\,\left(a\,d-b\,c\right)}\right)\,\left(2\,A^2+6\,A\,B\,n+7\,B^2\,n^2\right)\,3{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(6\,A^2\,B\,d^2\,n+18\,A\,B^2\,d^2\,n^2+21\,B^3\,d^2\,n^3\right)}\right)\,\left(2\,A^2+6\,A\,B\,n+7\,B^2\,n^2\right)\,3{}\mathrm{i}}{2\,b\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"- log((e*(a + b*x)^n)/(c + d*x)^n)^3*(B^3/(2*b*(a^2 + b^2*x^2 + 2*a*b*x)) - (B^3*d^2)/(2*b*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((4*A^3*a*d - 4*A^3*b*c + 45*B^3*a*d*n^3 - 3*B^3*b*c*n^3 + 18*A^2*B*a*d*n - 6*A^2*B*b*c*n + 42*A*B^2*a*d*n^2 - 6*A*B^2*b*c*n^2)/(2*(a*d - b*c)) + (3*x*(7*B^3*b*d*n^3 + 2*A^2*B*b*d*n + 6*A*B^2*b*d*n^2))/(a*d - b*c))/(4*a^2*b + 4*b^3*x^2 + 8*a*b^2*x) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*((3*A*B^2)/(2*(a^2*b + b^3*x^2 + 2*a*b^2*x)) - (3*d^2*(2*A*B^2 + 3*B^3*n))/(4*b*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) + (3*B^3*d^2*((b*n*(a*d - b*c)*(2*a*d - b*c))/d^2 + (2*b^2*n*x*(a*d - b*c))/d + (a*b*n*(a*d - b*c))/d))/(4*b*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)*(a^2*b + b^3*x^2 + 2*a*b^2*x))) - log((e*(a + b*x)^n)/(c + d*x)^n)*((3*B*a*c*(A^2 - B^2*n^2) + 3*B*x*(a*d + b*c)*(A^2 - B^2*n^2) + 3*B*b*d*x^2*(A^2 - B^2*n^2))/(2*b*(a + b*x)^3*(c + d*x)) + (3*d^2*(2*A*B^2 + 3*B^3*n)*(x*(((b*n*(a*d - b*c)*(2*a*d - b*c))/d^2 + (a*b*n*(a*d - b*c))/d)*(a*d + b*c) + (2*a*b^2*c*n*(a*d - b*c))/d) + x^2*(b*d*((b*n*(a*d - b*c)*(2*a*d - b*c))/d^2 + (a*b*n*(a*d - b*c))/d) + (2*b^2*n*(a*d + b*c)*(a*d - b*c))/d) + a*c*((b*n*(a*d - b*c)*(2*a*d - b*c))/d^2 + (a*b*n*(a*d - b*c))/d) + 2*b^3*n*x^3*(a*d - b*c)))/(4*b^2*(a + b*x)^3*(c + d*x)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - (B*d^2*n*atan((B*d^2*n*(2*b*d*x - (b^3*c^2 - a^2*b*d^2)/(b*(a*d - b*c)))*(2*A^2 + 7*B^2*n^2 + 6*A*B*n)*3i)/((a*d - b*c)*(21*B^3*d^2*n^3 + 6*A^2*B*d^2*n + 18*A*B^2*d^2*n^2)))*(2*A^2 + 7*B^2*n^2 + 6*A*B*n)*3i)/(2*b*(a*d - b*c)^2)","B"
170,1,2069,611,10.731396,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*x)^4,x)","\frac{\frac{36\,A^3\,a^2\,d^2-72\,A^3\,a\,b\,c\,d+36\,A^3\,b^2\,c^2+198\,A^2\,B\,a^2\,d^2\,n-126\,A^2\,B\,a\,b\,c\,d\,n+36\,A^2\,B\,b^2\,c^2\,n+510\,A\,B^2\,a^2\,d^2\,n^2-138\,A\,B^2\,a\,b\,c\,d\,n^2+24\,A\,B^2\,b^2\,c^2\,n^2+575\,B^3\,a^2\,d^2\,n^3-73\,B^3\,a\,b\,c\,d\,n^3+8\,B^3\,b^2\,c^2\,n^3}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-18\,c\,A^2\,B\,b^2\,d\,n+90\,a\,A^2\,B\,b\,d^2\,n-30\,c\,A\,B^2\,b^2\,d\,n^2+294\,a\,A\,B^2\,b\,d^2\,n^2-19\,c\,B^3\,b^2\,d\,n^3+359\,a\,B^3\,b\,d^2\,n^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(18\,A^2\,B\,b^2\,d^2\,n+66\,A\,B^2\,b^2\,d^2\,n^2+85\,B^3\,b^2\,d^2\,n^3\right)}{a\,d-b\,c}}{x^3\,\left(18\,b^5\,c-18\,a\,b^4\,d\right)+x\,\left(54\,a^2\,b^3\,c-54\,a^3\,b^2\,d\right)-x^2\,\left(54\,a^2\,b^3\,d-54\,a\,b^4\,c\right)+18\,a^3\,b^2\,c-18\,a^4\,b\,d}-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3\,\left(\frac{B^3}{3\,b\,\left(a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3\right)}-\frac{B^3\,d^3}{3\,b\,\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(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{A\,B^2}{a^3\,b+3\,a^2\,b^2\,x+3\,a\,b^3\,x^2+b^4\,x^3}-\frac{d^3\,\left(11\,n\,B^3+6\,A\,B^2\right)}{6\,b\,\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^3\,d^3\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+x\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{6\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{3\,d}\right)+\frac{2\,a\,b^2\,n\,\left(a\,d-b\,c\right)}{3\,d}+\frac{b^2\,n\,\left(a\,d-b\,c\right)\,\left(3\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b\,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^3\,n\,x^2\,\left(a\,d-b\,c\right)}{d}\right)}{b\,\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(a^3\,b+3\,a^2\,b^2\,x+3\,a\,b^3\,x^2+b^4\,x^3\right)}\right)-\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{x\,\left(\left(a\,d+b\,c\right)\,\left(3\,A^2\,B\,a\,d-3\,A^2\,B\,b\,c-6\,B^3\,a\,d\,n^2+3\,B^3\,b\,c\,n^2\right)-3\,B^3\,a\,b\,c\,d\,n^2\right)+x^2\,\left(b\,d\,\left(3\,A^2\,B\,a\,d-3\,A^2\,B\,b\,c-6\,B^3\,a\,d\,n^2+3\,B^3\,b\,c\,n^2\right)-3\,B^3\,b\,d\,n^2\,\left(a\,d+b\,c\right)\right)+a\,c\,\left(3\,A^2\,B\,a\,d-3\,A^2\,B\,b\,c-6\,B^3\,a\,d\,n^2+3\,B^3\,b\,c\,n^2\right)-3\,B^3\,b^2\,d^2\,n^2\,x^3}{3\,b\,\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^4\,\left(c+d\,x\right)}+\frac{d^3\,\left(11\,n\,B^3+6\,A\,B^2\right)\,\left(x\,\left(\left(a\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)\,\left(a\,d+b\,c\right)+a\,c\,\left(b\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^2\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{d^2}+\frac{2\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^2}{d}\right)\right)+x^2\,\left(\left(a\,d+b\,c\right)\,\left(b\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^2\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{d^2}+\frac{2\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^2}{d}\right)+b\,d\,\left(a\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+\frac{3\,a\,b^3\,c\,n\,{\left(a\,d-b\,c\right)}^2}{d}\right)+x^3\,\left(b\,d\,\left(b\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b^2\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{d^2}+\frac{2\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^2}{d}\right)+\frac{3\,b^3\,n\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^2}{d}\right)+a\,c\,\left(a\,\left(\frac{a\,b\,n\,{\left(a\,d-b\,c\right)}^2}{d}+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a\,d-b\,c\right)}{2\,d^2}\right)+\frac{b\,n\,{\left(a\,d-b\,c\right)}^2\,\left(3\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+3\,b^4\,n\,x^4\,{\left(a\,d-b\,c\right)}^2\right)}{9\,b^2\,\left(a\,d-b\,c\right)\,{\left(a+b\,x\right)}^4\,\left(c+d\,x\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)}\right)-\frac{B\,d^3\,n\,\mathrm{atan}\left(\frac{B\,d^3\,n\,\left(\frac{a^3\,b\,d^3-a^2\,b^2\,c\,d^2-a\,b^3\,c^2\,d+b^4\,c^3}{a^2\,b\,d^2-2\,a\,b^2\,c\,d+b^3\,c^2}+2\,b\,d\,x\right)\,\left(18\,A^2+66\,A\,B\,n+85\,B^2\,n^2\right)\,\left(a^2\,b\,d^2-2\,a\,b^2\,c\,d+b^3\,c^2\right)\,1{}\mathrm{i}}{b\,{\left(a\,d-b\,c\right)}^3\,\left(18\,A^2\,B\,d^3\,n+66\,A\,B^2\,d^3\,n^2+85\,B^3\,d^3\,n^3\right)}\right)\,\left(18\,A^2+66\,A\,B\,n+85\,B^2\,n^2\right)\,1{}\mathrm{i}}{9\,b\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((36*A^3*a^2*d^2 + 36*A^3*b^2*c^2 + 575*B^3*a^2*d^2*n^3 + 8*B^3*b^2*c^2*n^3 + 198*A^2*B*a^2*d^2*n + 36*A^2*B*b^2*c^2*n - 72*A^3*a*b*c*d + 510*A*B^2*a^2*d^2*n^2 + 24*A*B^2*b^2*c^2*n^2 - 73*B^3*a*b*c*d*n^3 - 126*A^2*B*a*b*c*d*n - 138*A*B^2*a*b*c*d*n^2)/(6*(a*d - b*c)) + (x*(359*B^3*a*b*d^2*n^3 - 19*B^3*b^2*c*d*n^3 + 90*A^2*B*a*b*d^2*n - 18*A^2*B*b^2*c*d*n + 294*A*B^2*a*b*d^2*n^2 - 30*A*B^2*b^2*c*d*n^2))/(2*(a*d - b*c)) + (x^2*(85*B^3*b^2*d^2*n^3 + 18*A^2*B*b^2*d^2*n + 66*A*B^2*b^2*d^2*n^2))/(a*d - b*c))/(x^3*(18*b^5*c - 18*a*b^4*d) + x*(54*a^2*b^3*c - 54*a^3*b^2*d) - x^2*(54*a^2*b^3*d - 54*a*b^4*c) + 18*a^3*b^2*c - 18*a^4*b*d) - log((e*(a + b*x)^n)/(c + d*x)^n)^3*(B^3/(3*b*(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)) - (B^3*d^3)/(3*b*(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)^n)/(c + d*x)^n)^2*((A*B^2)/(a^3*b + b^4*x^3 + 3*a^2*b^2*x + 3*a*b^3*x^2) - (d^3*(6*A*B^2 + 11*B^3*n))/(6*b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (B^3*d^3*(a*((b*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(3*d)) + x*(b*((b*n*(a*d - b*c)*(3*a*d - b*c))/(6*d^2) + (a*b*n*(a*d - b*c))/(3*d)) + (2*a*b^2*n*(a*d - b*c))/(3*d) + (b^2*n*(a*d - b*c)*(3*a*d - b*c))/(3*d^2)) + (b*n*(a*d - b*c)*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/(3*d^3) + (b^3*n*x^2*(a*d - b*c))/d))/(b*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)*(a^3*b + b^4*x^3 + 3*a^2*b^2*x + 3*a*b^3*x^2))) - log((e*(a + b*x)^n)/(c + d*x)^n)*((x*((a*d + b*c)*(3*A^2*B*a*d - 3*A^2*B*b*c - 6*B^3*a*d*n^2 + 3*B^3*b*c*n^2) - 3*B^3*a*b*c*d*n^2) + x^2*(b*d*(3*A^2*B*a*d - 3*A^2*B*b*c - 6*B^3*a*d*n^2 + 3*B^3*b*c*n^2) - 3*B^3*b*d*n^2*(a*d + b*c)) + a*c*(3*A^2*B*a*d - 3*A^2*B*b*c - 6*B^3*a*d*n^2 + 3*B^3*b*c*n^2) - 3*B^3*b^2*d^2*n^2*x^3)/(3*b*(a*d - b*c)*(a + b*x)^4*(c + d*x)) + (d^3*(6*A*B^2 + 11*B^3*n)*(x*((a*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b*n*(a*d - b*c)^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3)*(a*d + b*c) + a*c*(b*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b^2*n*(a*d - b*c)^2*(3*a*d - b*c))/d^2 + (2*a*b^2*n*(a*d - b*c)^2)/d)) + x^2*((a*d + b*c)*(b*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b^2*n*(a*d - b*c)^2*(3*a*d - b*c))/d^2 + (2*a*b^2*n*(a*d - b*c)^2)/d) + b*d*(a*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b*n*(a*d - b*c)^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3) + (3*a*b^3*c*n*(a*d - b*c)^2)/d) + x^3*(b*d*(b*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b^2*n*(a*d - b*c)^2*(3*a*d - b*c))/d^2 + (2*a*b^2*n*(a*d - b*c)^2)/d) + (3*b^3*n*(a*d + b*c)*(a*d - b*c)^2)/d) + a*c*(a*((a*b*n*(a*d - b*c)^2)/d + (b*n*(a*d - b*c)^2*(3*a*d - b*c))/(2*d^2)) + (b*n*(a*d - b*c)^2*(3*a^2*d^2 + b^2*c^2 - 3*a*b*c*d))/d^3) + 3*b^4*n*x^4*(a*d - b*c)^2))/(9*b^2*(a*d - b*c)*(a + b*x)^4*(c + d*x)*(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*n*atan((B*d^3*n*((b^4*c^3 + a^3*b*d^3 - a^2*b^2*c*d^2 - a*b^3*c^2*d)/(b^3*c^2 + a^2*b*d^2 - 2*a*b^2*c*d) + 2*b*d*x)*(18*A^2 + 85*B^2*n^2 + 66*A*B*n)*(b^3*c^2 + a^2*b*d^2 - 2*a*b^2*c*d)*1i)/(b*(a*d - b*c)^3*(85*B^3*d^3*n^3 + 18*A^2*B*d^3*n + 66*A*B^2*d^3*n^2)))*(18*A^2 + 85*B^2*n^2 + 66*A*B*n)*1i)/(9*b*(a*d - b*c)^3)","B"
171,1,4257,830,11.290381,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(a + b*x)^5,x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{x\,\left(\left(a\,d+b\,c\right)\,\left(a\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+13\,B^3\,a^2\,d^2\,n^2+\frac{11\,B^3\,b^2\,c^2\,n^2}{2}-6\,A^2\,B\,a^2\,d^2-6\,A^2\,B\,b^2\,c^2-\frac{31\,B^3\,a\,b\,c\,d\,n^2}{2}+12\,A^2\,B\,a\,b\,c\,d\right)+a\,c\,\left(b\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+\frac{27\,B^3\,a\,b\,d^2\,n^2}{2}-\frac{9\,B^3\,b^2\,c\,d\,n^2}{2}\right)\right)+x^2\,\left(\left(a\,d+b\,c\right)\,\left(b\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+\frac{27\,B^3\,a\,b\,d^2\,n^2}{2}-\frac{9\,B^3\,b^2\,c\,d\,n^2}{2}\right)+b\,d\,\left(a\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+13\,B^3\,a^2\,d^2\,n^2+\frac{11\,B^3\,b^2\,c^2\,n^2}{2}-6\,A^2\,B\,a^2\,d^2-6\,A^2\,B\,b^2\,c^2-\frac{31\,B^3\,a\,b\,c\,d\,n^2}{2}+12\,A^2\,B\,a\,b\,c\,d\right)+6\,B^3\,a\,b^2\,c\,d^2\,n^2\right)+x^3\,\left(b\,d\,\left(b\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+\frac{27\,B^3\,a\,b\,d^2\,n^2}{2}-\frac{9\,B^3\,b^2\,c\,d\,n^2}{2}\right)+6\,B^3\,b^2\,d^2\,n^2\,\left(a\,d+b\,c\right)\right)+a\,c\,\left(a\,\left(\frac{9\,B^3\,a\,d^2\,n^2}{2}-\frac{3\,B^3\,b\,c\,d\,n^2}{2}\right)+13\,B^3\,a^2\,d^2\,n^2+\frac{11\,B^3\,b^2\,c^2\,n^2}{2}-6\,A^2\,B\,a^2\,d^2-6\,A^2\,B\,b^2\,c^2-\frac{31\,B^3\,a\,b\,c\,d\,n^2}{2}+12\,A^2\,B\,a\,b\,c\,d\right)+6\,B^3\,b^3\,d^3\,n^2\,x^4}{8\,b\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^5\,\left(c+d\,x\right)}-\frac{d^4\,\left(25\,n\,B^3+12\,A\,B^2\right)\,\left(x^3\,\left(\left(a\,d+b\,c\right)\,\left(b\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^3\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{d^2}+\frac{6\,a\,b^3\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+b\,d\,\left(b\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+a\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+\frac{8\,a\,b^4\,c\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+x^2\,\left(\left(a\,d+b\,c\right)\,\left(b\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+a\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+a\,c\,\left(b\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^3\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{d^2}+\frac{6\,a\,b^3\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+b\,d\,\left(a\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\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)}{d^4}\right)\right)+x\,\left(\left(a\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\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)}{d^4}\right)\,\left(a\,d+b\,c\right)+a\,c\,\left(b\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+a\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)\right)+x^4\,\left(b\,d\,\left(b\,\left(b\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{4\,b^2\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{4\,a\,b^2\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{2\,b^3\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{d^2}+\frac{6\,a\,b^3\,n\,{\left(a\,d-b\,c\right)}^3}{d}\right)+\frac{8\,b^4\,n\,\left(a\,d+b\,c\right)\,{\left(a\,d-b\,c\right)}^3}{d}\right)+a\,c\,\left(a\,\left(a\,\left(\frac{2\,a\,b\,n\,{\left(a\,d-b\,c\right)}^3}{d}+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+\frac{2\,b\,n\,{\left(a\,d-b\,c\right)}^3\,\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)}{d^4}\right)+8\,b^5\,n\,x^5\,{\left(a\,d-b\,c\right)}^3\right)}{64\,b^2\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^5\,\left(c+d\,x\right)\,\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)-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^3\,\left(\frac{B^3}{4\,b\,\left(a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4\right)}-\frac{B^3\,d^4}{4\,b\,\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)-{\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}^2\,\left(\frac{3\,A\,B^2}{4\,\left(a^4\,b+4\,a^3\,b^2\,x+6\,a^2\,b^3\,x^2+4\,a\,b^4\,x^3+b^5\,x^4\right)}-\frac{d^4\,\left(25\,n\,B^3+12\,A\,B^2\right)}{16\,b\,\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\,B^3\,d^4\,\left(x^2\,\left(b\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{2\,a\,b^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{2\,b^2\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{3\,a\,b^3\,n\,\left(a\,d-b\,c\right)}{d}+\frac{b^3\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{d^2}\right)+a\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+x\,\left(b\,\left(a\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}\right)+a\,\left(b\,\left(\frac{b\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}+\frac{a\,b\,n\,\left(a\,d-b\,c\right)}{d}\right)+\frac{2\,a\,b^2\,n\,\left(a\,d-b\,c\right)}{d}+\frac{2\,b^2\,n\,\left(a\,d-b\,c\right)\,\left(4\,a\,d-b\,c\right)}{3\,d^2}\right)+\frac{b^2\,n\,\left(a\,d-b\,c\right)\,\left(6\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{d^3}\right)+\frac{b\,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)}{d^4}+\frac{4\,b^4\,n\,x^3\,\left(a\,d-b\,c\right)}{d}\right)}{16\,b\,\left(a^4\,b+4\,a^3\,b^2\,x+6\,a^2\,b^3\,x^2+4\,a\,b^4\,x^3+b^5\,x^4\right)\,\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{288\,A^3\,a^3\,d^3-864\,A^3\,a^2\,b\,c\,d^2+864\,A^3\,a\,b^2\,c^2\,d-288\,A^3\,b^3\,c^3+1800\,A^2\,B\,a^3\,d^3\,n-1656\,A^2\,B\,a^2\,b\,c\,d^2\,n+936\,A^2\,B\,a\,b^2\,c^2\,d\,n-216\,A^2\,B\,b^3\,c^3\,n+4980\,A\,B^2\,a^3\,d^3\,n^2-1932\,A\,B^2\,a^2\,b\,c\,d^2\,n^2+660\,A\,B^2\,a\,b^2\,c^2\,d\,n^2-108\,A\,B^2\,b^3\,c^3\,n^2+5845\,B^3\,a^3\,d^3\,n^3-1067\,B^3\,a^2\,b\,c\,d^2\,n^3+229\,B^3\,a\,b^2\,c^2\,d\,n^3-27\,B^3\,b^3\,c^3\,n^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-72\,c\,A^2\,B\,b^3\,d^2\,n+504\,a\,A^2\,B\,b^2\,d^3\,n-156\,c\,A\,B^2\,b^3\,d^2\,n^2+1956\,a\,A\,B^2\,b^2\,d^3\,n^2-115\,c\,B^3\,b^3\,d^2\,n^3+2605\,a\,B^3\,b^2\,d^3\,n^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(936\,A^2\,B\,a^2\,b\,d^3\,n-360\,A^2\,B\,a\,b^2\,c\,d^2\,n+72\,A^2\,B\,b^3\,c^2\,d\,n+3252\,A\,B^2\,a^2\,b\,d^3\,n^2-636\,A\,B^2\,a\,b^2\,c\,d^2\,n^2+84\,A\,B^2\,b^3\,c^2\,d\,n^2+4117\,B^3\,a^2\,b\,d^3\,n^3-419\,B^3\,a\,b^2\,c\,d^2\,n^3+37\,B^3\,b^3\,c^2\,d\,n^3\right)}{3\,\left(a\,d-b\,c\right)}+\frac{x^3\,\left(72\,A^2\,B\,b^3\,d^3\,n+300\,A\,B^2\,b^3\,d^3\,n^2+415\,B^3\,b^3\,d^3\,n^3\right)}{a\,d-b\,c}}{x\,\left(384\,a^5\,b^2\,d^2-768\,a^4\,b^3\,c\,d+384\,a^3\,b^4\,c^2\right)+x^3\,\left(384\,a^3\,b^4\,d^2-768\,a^2\,b^5\,c\,d+384\,a\,b^6\,c^2\right)+x^4\,\left(96\,a^2\,b^5\,d^2-192\,a\,b^6\,c\,d+96\,b^7\,c^2\right)+x^2\,\left(576\,a^4\,b^3\,d^2-1152\,a^3\,b^4\,c\,d+576\,a^2\,b^5\,c^2\right)+96\,a^6\,b\,d^2+96\,a^4\,b^3\,c^2-192\,a^5\,b^2\,c\,d}+\frac{B\,d^4\,n\,\mathrm{atan}\left(\frac{B\,d^4\,n\,\left(\frac{-a^4\,b\,d^4+2\,a^3\,b^2\,c\,d^3-2\,a\,b^4\,c^3\,d+b^5\,c^4}{-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3}+2\,b\,d\,x\right)\,\left(72\,A^2+300\,A\,B\,n+415\,B^2\,n^2\right)\,\left(-a^3\,b\,d^3+3\,a^2\,b^2\,c\,d^2-3\,a\,b^3\,c^2\,d+b^4\,c^3\right)\,1{}\mathrm{i}}{b\,{\left(a\,d-b\,c\right)}^4\,\left(72\,A^2\,B\,d^4\,n+300\,A\,B^2\,d^4\,n^2+415\,B^3\,d^4\,n^3\right)}\right)\,\left(72\,A^2+300\,A\,B\,n+415\,B^2\,n^2\right)\,1{}\mathrm{i}}{48\,b\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"log((e*(a + b*x)^n)/(c + d*x)^n)*((x*((a*d + b*c)*(a*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + 13*B^3*a^2*d^2*n^2 + (11*B^3*b^2*c^2*n^2)/2 - 6*A^2*B*a^2*d^2 - 6*A^2*B*b^2*c^2 - (31*B^3*a*b*c*d*n^2)/2 + 12*A^2*B*a*b*c*d) + a*c*(b*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + (27*B^3*a*b*d^2*n^2)/2 - (9*B^3*b^2*c*d*n^2)/2)) + x^2*((a*d + b*c)*(b*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + (27*B^3*a*b*d^2*n^2)/2 - (9*B^3*b^2*c*d*n^2)/2) + b*d*(a*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + 13*B^3*a^2*d^2*n^2 + (11*B^3*b^2*c^2*n^2)/2 - 6*A^2*B*a^2*d^2 - 6*A^2*B*b^2*c^2 - (31*B^3*a*b*c*d*n^2)/2 + 12*A^2*B*a*b*c*d) + 6*B^3*a*b^2*c*d^2*n^2) + x^3*(b*d*(b*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + (27*B^3*a*b*d^2*n^2)/2 - (9*B^3*b^2*c*d*n^2)/2) + 6*B^3*b^2*d^2*n^2*(a*d + b*c)) + a*c*(a*((9*B^3*a*d^2*n^2)/2 - (3*B^3*b*c*d*n^2)/2) + 13*B^3*a^2*d^2*n^2 + (11*B^3*b^2*c^2*n^2)/2 - 6*A^2*B*a^2*d^2 - 6*A^2*B*b^2*c^2 - (31*B^3*a*b*c*d*n^2)/2 + 12*A^2*B*a*b*c*d) + 6*B^3*b^3*d^3*n^2*x^4)/(8*b*(a*d - b*c)^2*(a + b*x)^5*(c + d*x)) - (d^4*(12*A*B^2 + 25*B^3*n)*(x^3*((a*d + b*c)*(b*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^3*n*(a*d - b*c)^3*(4*a*d - b*c))/d^2 + (6*a*b^3*n*(a*d - b*c)^3)/d) + b*d*(b*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + a*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^2*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/d^3) + (8*a*b^4*c*n*(a*d - b*c)^3)/d) + x^2*((a*d + b*c)*(b*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + a*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^2*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/d^3) + a*c*(b*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^3*n*(a*d - b*c)^3*(4*a*d - b*c))/d^2 + (6*a*b^3*n*(a*d - b*c)^3)/d) + b*d*(a*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + (2*b*n*(a*d - b*c)^3*(4*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2))/d^4)) + x*((a*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + (2*b*n*(a*d - b*c)^3*(4*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2))/d^4)*(a*d + b*c) + a*c*(b*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + a*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^2*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/d^3)) + x^4*(b*d*(b*(b*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (4*b^2*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2) + (4*a*b^2*n*(a*d - b*c)^3)/d) + (2*b^3*n*(a*d - b*c)^3*(4*a*d - b*c))/d^2 + (6*a*b^3*n*(a*d - b*c)^3)/d) + (8*b^4*n*(a*d + b*c)*(a*d - b*c)^3)/d) + a*c*(a*(a*((2*a*b*n*(a*d - b*c)^3)/d + (2*b*n*(a*d - b*c)^3*(4*a*d - b*c))/(3*d^2)) + (2*b*n*(a*d - b*c)^3*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + (2*b*n*(a*d - b*c)^3*(4*a^3*d^3 - b^3*c^3 + 4*a*b^2*c^2*d - 6*a^2*b*c*d^2))/d^4) + 8*b^5*n*x^5*(a*d - b*c)^3))/(64*b^2*(a*d - b*c)^2*(a + b*x)^5*(c + d*x)*(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))) - log((e*(a + b*x)^n)/(c + d*x)^n)^3*(B^3/(4*b*(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)) - (B^3*d^4)/(4*b*(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))) - log((e*(a + b*x)^n)/(c + d*x)^n)^2*((3*A*B^2)/(4*(a^4*b + b^5*x^4 + 4*a^3*b^2*x + 4*a*b^4*x^3 + 6*a^2*b^3*x^2)) - (d^4*(12*A*B^2 + 25*B^3*n))/(16*b*(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*B^3*d^4*(x^2*(b*(b*((b*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2) + (a*b*n*(a*d - b*c))/d) + (2*a*b^2*n*(a*d - b*c))/d + (2*b^2*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2)) + (3*a*b^3*n*(a*d - b*c))/d + (b^3*n*(a*d - b*c)*(4*a*d - b*c))/d^2) + a*(a*((b*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2) + (a*b*n*(a*d - b*c))/d) + (b*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + x*(b*(a*((b*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2) + (a*b*n*(a*d - b*c))/d) + (b*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3)) + a*(b*((b*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2) + (a*b*n*(a*d - b*c))/d) + (2*a*b^2*n*(a*d - b*c))/d + (2*b^2*n*(a*d - b*c)*(4*a*d - b*c))/(3*d^2)) + (b^2*n*(a*d - b*c)*(6*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/d^3) + (b*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))/d^4 + (4*b^4*n*x^3*(a*d - b*c))/d))/(16*b*(a^4*b + b^5*x^4 + 4*a^3*b^2*x + 4*a*b^4*x^3 + 6*a^2*b^3*x^2)*(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))) - ((288*A^3*a^3*d^3 - 288*A^3*b^3*c^3 + 5845*B^3*a^3*d^3*n^3 - 27*B^3*b^3*c^3*n^3 + 1800*A^2*B*a^3*d^3*n - 216*A^2*B*b^3*c^3*n + 864*A^3*a*b^2*c^2*d - 864*A^3*a^2*b*c*d^2 + 4980*A*B^2*a^3*d^3*n^2 - 108*A*B^2*b^3*c^3*n^2 + 229*B^3*a*b^2*c^2*d*n^3 - 1067*B^3*a^2*b*c*d^2*n^3 + 660*A*B^2*a*b^2*c^2*d*n^2 - 1932*A*B^2*a^2*b*c*d^2*n^2 + 936*A^2*B*a*b^2*c^2*d*n - 1656*A^2*B*a^2*b*c*d^2*n)/(12*(a*d - b*c)) + (x^2*(2605*B^3*a*b^2*d^3*n^3 - 115*B^3*b^3*c*d^2*n^3 + 504*A^2*B*a*b^2*d^3*n - 72*A^2*B*b^3*c*d^2*n + 1956*A*B^2*a*b^2*d^3*n^2 - 156*A*B^2*b^3*c*d^2*n^2))/(2*(a*d - b*c)) + (x*(4117*B^3*a^2*b*d^3*n^3 + 37*B^3*b^3*c^2*d*n^3 - 419*B^3*a*b^2*c*d^2*n^3 + 936*A^2*B*a^2*b*d^3*n + 72*A^2*B*b^3*c^2*d*n + 3252*A*B^2*a^2*b*d^3*n^2 + 84*A*B^2*b^3*c^2*d*n^2 - 636*A*B^2*a*b^2*c*d^2*n^2 - 360*A^2*B*a*b^2*c*d^2*n))/(3*(a*d - b*c)) + (x^3*(415*B^3*b^3*d^3*n^3 + 72*A^2*B*b^3*d^3*n + 300*A*B^2*b^3*d^3*n^2))/(a*d - b*c))/(x*(384*a^3*b^4*c^2 + 384*a^5*b^2*d^2 - 768*a^4*b^3*c*d) + x^3*(384*a*b^6*c^2 + 384*a^3*b^4*d^2 - 768*a^2*b^5*c*d) + x^4*(96*b^7*c^2 + 96*a^2*b^5*d^2 - 192*a*b^6*c*d) + x^2*(576*a^2*b^5*c^2 + 576*a^4*b^3*d^2 - 1152*a^3*b^4*c*d) + 96*a^6*b*d^2 + 96*a^4*b^3*c^2 - 192*a^5*b^2*c*d) + (B*d^4*n*atan((B*d^4*n*((b^5*c^4 - a^4*b*d^4 + 2*a^3*b^2*c*d^3 - 2*a*b^4*c^3*d)/(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d) + 2*b*d*x)*(72*A^2 + 415*B^2*n^2 + 300*A*B*n)*(b^4*c^3 - a^3*b*d^3 + 3*a^2*b^2*c*d^2 - 3*a*b^3*c^2*d)*1i)/(b*(a*d - b*c)^4*(415*B^3*d^4*n^3 + 72*A^2*B*d^4*n + 300*A*B^2*d^4*n^2)))*(72*A^2 + 415*B^2*n^2 + 300*A*B*n)*1i)/(48*b*(a*d - b*c)^4)","B"
172,0,-1,96,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,\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",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))), x)","F"
173,1,1008,180,4.863247,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x))/(a + b*x))),x)","\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(B\,a^4\,g^4\,x+2\,B\,a^3\,b\,g^4\,x^2+2\,B\,a^2\,b^2\,g^4\,x^3+B\,a\,b^3\,g^4\,x^4+\frac{B\,b^4\,g^4\,x^5}{5}\right)-x^3\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,d}+\frac{A\,a\,b^3\,c\,g^4}{3\,d}\right)+x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{10\,b\,d}+\frac{a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}\right)+x\,\left(\frac{a^3\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{5\,b\,d}+\frac{2\,a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{b\,d}\right)+x^4\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{20\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(B\,a^4\,c\,d^4\,g^4-2\,B\,a^3\,b\,c^2\,d^3\,g^4+2\,B\,a^2\,b^2\,c^3\,d^2\,g^4-B\,a\,b^3\,c^4\,d\,g^4+\frac{B\,b^4\,c^5\,g^4}{5}\right)}{d^5}+\frac{A\,b^4\,g^4\,x^5}{5}-\frac{B\,a^5\,g^4\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"log((e*(c + d*x))/(a + b*x))*((B*b^4*g^4*x^5)/5 + B*a^4*g^4*x + 2*B*a^3*b*g^4*x^2 + B*a*b^3*g^4*x^4 + 2*B*a^2*b^2*g^4*x^3) - x^3*((((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(15*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(3*d) + (A*a*b^3*c*g^4)/(3*d)) + x^2*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - B*a*d + B*b*c))/d + (A*a*b^3*c*g^4)/d))/(10*b*d) + (a^2*b*g^4*(5*A*a*d + 5*A*b*c - B*a*d + B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(2*b*d)) + x*((a^3*g^4*(5*A*a*d + 10*A*b*c - 2*B*a*d + 2*B*b*c))/d - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - B*a*d + B*b*c))/d + (A*a*b^3*c*g^4)/d))/(5*b*d) + (2*a^2*b*g^4*(5*A*a*d + 5*A*b*c - B*a*d + B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(b*d)))/(5*b*d) + (a*c*((((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - B*a*d + B*b*c))/d + (A*a*b^3*c*g^4)/d))/(b*d)) + x^4*((b^3*g^4*(25*A*a*d + 5*A*b*c - B*a*d + B*b*c))/(20*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(20*d)) + (log(c + d*x)*((B*b^4*c^5*g^4)/5 + B*a^4*c*d^4*g^4 - 2*B*a^3*b*c^2*d^3*g^4 + 2*B*a^2*b^2*c^3*d^2*g^4 - B*a*b^3*c^4*d*g^4))/d^5 + (A*b^4*g^4*x^5)/5 - (B*a^5*g^4*log(a + b*x))/(5*b)","B"
174,1,566,149,4.691874,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x))),x)","x\,\left(\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{d}\right)}{4\,b\,d}+\frac{a^2\,g^3\,\left(8\,A\,a\,d+12\,A\,b\,c-3\,B\,a\,d+3\,B\,b\,c\right)}{2\,d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{4\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{a\,b\,g^3\,\left(6\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{2\,d}+\frac{A\,a\,b^2\,c\,g^3}{2\,d}\right)+\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(B\,a^3\,g^3\,x+\frac{3\,B\,a^2\,b\,g^3\,x^2}{2}+B\,a\,b^2\,g^3\,x^3+\frac{B\,b^3\,g^3\,x^4}{4}\right)+x^3\,\left(\frac{b^2\,g^3\,\left(16\,A\,a\,d+4\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{12\,d}-\frac{A\,b^2\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,a^3\,c\,d^3\,g^3+6\,B\,a^2\,b\,c^2\,d^2\,g^3-4\,B\,a\,b^2\,c^3\,d\,g^3+B\,b^3\,c^4\,g^3\right)}{4\,d^4}+\frac{A\,b^3\,g^3\,x^4}{4}-\frac{B\,a^4\,g^3\,\ln\left(a+b\,x\right)}{4\,b}","Not used",1,"x*(((4*a*d + 4*b*c)*((((b^2*g^3*(16*A*a*d + 4*A*b*c - B*a*d + B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(4*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c - B*a*d + B*b*c))/d + (A*a*b^2*c*g^3)/d))/(4*b*d) + (a^2*g^3*(8*A*a*d + 12*A*b*c - 3*B*a*d + 3*B*b*c))/(2*d) - (a*c*((b^2*g^3*(16*A*a*d + 4*A*b*c - B*a*d + B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d)))/(b*d)) - x^2*((((b^2*g^3*(16*A*a*d + 4*A*b*c - B*a*d + B*b*c))/(4*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(4*d))*(4*a*d + 4*b*c))/(8*b*d) - (a*b*g^3*(6*A*a*d + 4*A*b*c - B*a*d + B*b*c))/(2*d) + (A*a*b^2*c*g^3)/(2*d)) + log((e*(c + d*x))/(a + b*x))*((B*b^3*g^3*x^4)/4 + B*a^3*g^3*x + (3*B*a^2*b*g^3*x^2)/2 + B*a*b^2*g^3*x^3) + x^3*((b^2*g^3*(16*A*a*d + 4*A*b*c - B*a*d + B*b*c))/(12*d) - (A*b^2*g^3*(4*a*d + 4*b*c))/(12*d)) - (log(c + d*x)*(B*b^3*c^4*g^3 - 4*B*a^3*c*d^3*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a*b^2*c^3*d*g^3))/(4*d^4) + (A*b^3*g^3*x^4)/4 - (B*a^4*g^3*log(a + b*x))/(4*b)","B"
175,1,290,118,4.572258,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x))),x)","x^2\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{6\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{3\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)}{3\,b\,d}-\frac{a\,g^2\,\left(3\,A\,a\,d+3\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b\,c\,g^2}{d}\right)+\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(B\,a^2\,g^2\,x+B\,a\,b\,g^2\,x^2+\frac{B\,b^2\,g^2\,x^3}{3}\right)+\frac{\ln\left(c+d\,x\right)\,\left(3\,B\,a^2\,c\,d^2\,g^2-3\,B\,a\,b\,c^2\,d\,g^2+B\,b^2\,c^3\,g^2\right)}{3\,d^3}+\frac{A\,b^2\,g^2\,x^3}{3}-\frac{B\,a^3\,g^2\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"x^2*((b*g^2*(9*A*a*d + 3*A*b*c - B*a*d + B*b*c))/(6*d) - (A*b*g^2*(3*a*d + 3*b*c))/(6*d)) - x*(((3*a*d + 3*b*c)*((b*g^2*(9*A*a*d + 3*A*b*c - B*a*d + B*b*c))/(3*d) - (A*b*g^2*(3*a*d + 3*b*c))/(3*d)))/(3*b*d) - (a*g^2*(3*A*a*d + 3*A*b*c - B*a*d + B*b*c))/d + (A*a*b*c*g^2)/d) + log((e*(c + d*x))/(a + b*x))*((B*b^2*g^2*x^3)/3 + B*a^2*g^2*x + B*a*b*g^2*x^2) + (log(c + d*x)*(B*b^2*c^3*g^2 + 3*B*a^2*c*d^2*g^2 - 3*B*a*b*c^2*d*g^2))/(3*d^3) + (A*b^2*g^2*x^3)/3 - (B*a^3*g^2*log(a + b*x))/(3*b)","B"
176,1,126,81,4.310293,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x))),x)","x\,\left(\frac{g\,\left(4\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{2\,d}-\frac{A\,g\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)+\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(\frac{B\,b\,g\,x^2}{2}+B\,a\,g\,x\right)-\frac{\ln\left(c+d\,x\right)\,\left(B\,b\,c^2\,g-2\,B\,a\,c\,d\,g\right)}{2\,d^2}+\frac{A\,b\,g\,x^2}{2}-\frac{B\,a^2\,g\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"x*((g*(4*A*a*d + 2*A*b*c - B*a*d + B*b*c))/(2*d) - (A*g*(2*a*d + 2*b*c))/(2*d)) + log((e*(c + d*x))/(a + b*x))*((B*b*g*x^2)/2 + B*a*g*x) - (log(c + d*x)*(B*b*c^2*g - 2*B*a*c*d*g))/(2*d^2) + (A*b*g*x^2)/2 - (B*a^2*g*log(a + b*x))/(2*b)","B"
177,0,-1,81,0.000000,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x), x)","F"
178,1,106,64,5.005647,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x)^2,x)","-\frac{A-B}{x\,b^2\,g^2+a\,b\,g^2}-\frac{B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}+\frac{B\,d\,\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}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"(B*d*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*2i)/(b*g^2*(a*d - b*c)) - (B*log((e*(c + d*x))/(a + b*x)))/(b^2*g^2*(x + a/b)) - (A - B)/(b^2*g^2*x + a*b*g^2)","B"
179,1,208,144,5.194858,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x)^3,x)","\frac{B\,d^2\,\mathrm{atanh}\left(\frac{2\,b^3\,c^2\,g^3-2\,a^2\,b\,d^2\,g^3}{2\,b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{\frac{2\,A\,a\,d-2\,A\,b\,c-3\,B\,a\,d+B\,b\,c}{2\,\left(a\,d-b\,c\right)}-\frac{B\,b\,d\,x}{a\,d-b\,c}}{2\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}","Not used",1,"(B*d^2*atanh((2*b^3*c^2*g^3 - 2*a^2*b*d^2*g^3)/(2*b*g^3*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*g^3*(a*d - b*c)^2) - (B*log((e*(c + d*x))/(a + b*x)))/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - ((2*A*a*d - 2*A*b*c - 3*B*a*d + B*b*c)/(2*(a*d - b*c)) - (B*b*d*x)/(a*d - b*c))/(2*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x)","B"
180,1,339,175,5.875121,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x)^4,x)","\frac{B\,b\,c^2}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}{3\,b\,g^4\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{11\,B\,a^2\,d^2}{18\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{5\,B\,a\,d^2\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{B\,b\,d^2\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{2\,A\,a\,c\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{7\,B\,a\,c\,d}{18\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,c\,d\,x}{6\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\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)\,2{}\mathrm{i}}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(B*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*2i)/(3*b*g^4*(a*d - b*c)^3) - (B*log((e*(c + d*x))/(a + b*x)))/(3*b*g^4*(a + b*x)^3) - (A*b*c^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (B*b*c^2)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*a^2*d^2)/(3*b*g^4*(a*d - b*c)^2*(a + b*x)^3) + (11*B*a^2*d^2)/(18*b*g^4*(a*d - b*c)^2*(a + b*x)^3) + (5*B*a*d^2*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3) + (B*b*d^2*x^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (2*A*a*c*d)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (7*B*a*c*d)/(18*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*b*c*d*x)/(6*g^4*(a*d - b*c)^2*(a + b*x)^3)","B"
181,1,578,206,6.623033,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))/(a*g + b*g*x)^5,x)","\frac{B\,d^4\,\mathrm{atanh}\left(\frac{-4\,a^4\,b\,d^4\,g^5+8\,a^3\,b^2\,c\,d^3\,g^5-8\,a\,b^4\,c^3\,d\,g^5+4\,b^5\,c^4\,g^5}{4\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{2\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{\frac{12\,A\,a^3\,d^3-12\,A\,b^3\,c^3-25\,B\,a^3\,d^3+3\,B\,b^3\,c^3+36\,A\,a\,b^2\,c^2\,d-36\,A\,a^2\,b\,c\,d^2-13\,B\,a\,b^2\,c^2\,d+23\,B\,a^2\,b\,c\,d^2}{12\,\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\,x^2\,\left(B\,b^3\,c-7\,B\,a\,b^2\,d\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{d\,x\,\left(13\,B\,a^2\,b\,d^2-5\,B\,a\,b^2\,c\,d+B\,b^3\,c^2\right)}{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\,b^3\,d^3\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{4\,a^4\,b\,g^5+16\,a^3\,b^2\,g^5\,x+24\,a^2\,b^3\,g^5\,x^2+16\,a\,b^4\,g^5\,x^3+4\,b^5\,g^5\,x^4}","Not used",1,"(B*d^4*atanh((4*b^5*c^4*g^5 - 4*a^4*b*d^4*g^5 - 8*a*b^4*c^3*d*g^5 + 8*a^3*b^2*c*d^3*g^5)/(4*b*g^5*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(2*b*g^5*(a*d - b*c)^4) - (B*log((e*(c + d*x))/(a + b*x)))/(4*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 - 12*A*b^3*c^3 - 25*B*a^3*d^3 + 3*B*b^3*c^3 + 36*A*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 - 13*B*a*b^2*c^2*d + 23*B*a^2*b*c*d^2)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d^2*x^2*(B*b^3*c - 7*B*a*b^2*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d*x*(B*b^3*c^2 + 13*B*a^2*b*d^2 - 5*B*a*b^2*c*d))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B*b^3*d^3*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(4*a^4*b*g^5 + 4*b^5*g^5*x^4 + 16*a^3*b^2*g^5*x + 16*a*b^4*g^5*x^3 + 24*a^2*b^3*g^5*x^2)","B"
182,0,-1,503,0.000000,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^4\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
183,0,-1,420,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
184,0,-1,335,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
185,0,-1,202,0.000000,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
186,0,-1,128,0.000000,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x), x)","F"
187,1,223,153,6.379454,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x)^2,x)","\frac{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(\frac{2\,B^2}{b^2\,d\,g^2}-\frac{2\,A\,B}{b^2\,d\,g^2}\right)}{\frac{x}{d}+\frac{a}{b\,d}}-{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}^2\,\left(\frac{B^2}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B^2\,d}{b\,g^2\,\left(a\,d-b\,c\right)}\right)-\frac{A^2-2\,A\,B+2\,B^2}{x\,b^2\,g^2+a\,b\,g^2}+\frac{B\,d\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{c\,b^2\,g^2+a\,d\,b\,g^2}{b\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-B\right)\,4{}\mathrm{i}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"(log((e*(c + d*x))/(a + b*x))*((2*B^2)/(b^2*d*g^2) - (2*A*B)/(b^2*d*g^2)))/(x/d + a/(b*d)) - log((e*(c + d*x))/(a + b*x))^2*(B^2/(b^2*g^2*(x + a/b)) - (B^2*d)/(b*g^2*(a*d - b*c))) - (A^2 + 2*B^2 - 2*A*B)/(b^2*g^2*x + a*b*g^2) + (B*d*atan(((2*b*d*x + (b^2*c*g^2 + a*b*d*g^2)/(b*g^2))*1i)/(a*d - b*c))*(A - B)*4i)/(b*g^2*(a*d - b*c))","B"
188,1,507,296,6.001782,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x)^3,x)","\frac{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(\frac{B^2\,x\,\left(a\,d-b\,c\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{A\,B}{b^2\,d\,g^3}+\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)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}^2\,\left(\frac{B^2}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{B^2\,d^2}{2\,b\,g^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+7\,B^2\,a\,d-B^2\,b\,c-6\,A\,B\,a\,d+2\,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\,a^2\,b\,g^3+4\,a\,b^2\,g^3\,x+2\,b^3\,g^3\,x^2}-\frac{B\,d^2\,\mathrm{atan}\left(\frac{B\,d^2\,\left(2\,b\,d\,x-\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^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\,d^2-2\,A\,B\,d^2\right)}\right)\,\left(2\,A-3\,B\right)\,1{}\mathrm{i}}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(log((e*(c + d*x))/(a + b*x))*((B^2*x*(a*d - b*c))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (A*B)/(b^2*d*g^3) + (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)))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - log((e*(c + d*x))/(a + b*x))^2*(B^2/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (B^2*d^2)/(2*b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((2*A^2*a*d - 2*A^2*b*c + 7*B^2*a*d - B^2*b*c - 6*A*B*a*d + 2*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*a^2*b*g^3 + 2*b^3*g^3*x^2 + 4*a*b^2*g^3*x) - (B*d^2*atan((B*d^2*(2*b*d*x - (b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)))*(2*A - 3*B)*1i)/((a*d - b*c)*(3*B^2*d^2 - 2*A*B*d^2)))*(2*A - 3*B)*1i)/(b*g^3*(a*d - b*c)^2)","B"
189,1,1064,399,7.703139,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x)^4,x)","\frac{\frac{18\,A^2\,a^2\,d^2-36\,A^2\,a\,b\,c\,d+18\,A^2\,b^2\,c^2-66\,A\,B\,a^2\,d^2+42\,A\,B\,a\,b\,c\,d-12\,A\,B\,b^2\,c^2+85\,B^2\,a^2\,d^2-23\,B^2\,a\,b\,c\,d+4\,B^2\,b^2\,c^2}{6\,\left(a\,d-b\,c\right)}+\frac{x\,\left(-5\,c\,B^2\,b^2\,d+49\,a\,B^2\,b\,d^2+6\,A\,c\,B\,b^2\,d-30\,A\,a\,B\,b\,d^2\right)}{2\,\left(a\,d-b\,c\right)}+\frac{d\,x^2\,\left(11\,B^2\,b^2\,d-6\,A\,B\,b^2\,d\right)}{a\,d-b\,c}}{x\,\left(27\,a^2\,b^3\,c\,g^4-27\,a^3\,b^2\,d\,g^4\right)-x^2\,\left(27\,a^2\,b^3\,d\,g^4-27\,a\,b^4\,c\,g^4\right)+x^3\,\left(9\,b^5\,c\,g^4-9\,a\,b^4\,d\,g^4\right)+9\,a^3\,b^2\,c\,g^4-9\,a^4\,b\,d\,g^4}-{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}^2\,\left(\frac{B^2}{3\,b^2\,g^4\,\left(3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2\right)}-\frac{B^2\,d^3}{3\,b\,g^4\,\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(c+d\,x\right)}{a+b\,x}\right)\,\left(\frac{2\,A\,B}{3\,b^2\,d\,g^4}-\frac{2\,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)}{3\,b\,g^4\,\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{2\,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)}{3\,b\,g^4\,\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{2\,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)}{3\,b\,g^4\,\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{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\,\mathrm{atan}\left(\frac{B\,d^3\,\left(\frac{a^3\,b\,d^3\,g^4-a^2\,b^2\,c\,d^2\,g^4-a\,b^3\,c^2\,d\,g^4+b^4\,c^3\,g^4}{a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4}+2\,b\,d\,x\right)\,\left(6\,A-11\,B\right)\,\left(a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4\right)\,1{}\mathrm{i}}{b\,g^4\,{\left(a\,d-b\,c\right)}^3\,\left(11\,B^2\,d^3-6\,A\,B\,d^3\right)}\right)\,\left(6\,A-11\,B\right)\,2{}\mathrm{i}}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((18*A^2*a^2*d^2 + 18*A^2*b^2*c^2 + 85*B^2*a^2*d^2 + 4*B^2*b^2*c^2 - 66*A*B*a^2*d^2 - 12*A*B*b^2*c^2 - 36*A^2*a*b*c*d - 23*B^2*a*b*c*d + 42*A*B*a*b*c*d)/(6*(a*d - b*c)) + (x*(49*B^2*a*b*d^2 - 5*B^2*b^2*c*d - 30*A*B*a*b*d^2 + 6*A*B*b^2*c*d))/(2*(a*d - b*c)) + (d*x^2*(11*B^2*b^2*d - 6*A*B*b^2*d))/(a*d - b*c))/(x*(27*a^2*b^3*c*g^4 - 27*a^3*b^2*d*g^4) - x^2*(27*a^2*b^3*d*g^4 - 27*a*b^4*c*g^4) + x^3*(9*b^5*c*g^4 - 9*a*b^4*d*g^4) + 9*a^3*b^2*c*g^4 - 9*a^4*b*d*g^4) - log((e*(c + d*x))/(a + b*x))^2*(B^2/(3*b^2*g^4*(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2)) - (B^2*d^3)/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (log((e*(c + d*x))/(a + b*x))*((2*A*B)/(3*b^2*d*g^4) - (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)))/(3*b*g^4*(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*d^3*x^2*((b^2*c - a*b*d)/(3*d^2) - (2*b*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(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*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)))/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*atan((B*d^3*((b^4*c^3*g^4 + a^3*b*d^3*g^4 - a*b^3*c^2*d*g^4 - a^2*b^2*c*d^2*g^4)/(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4) + 2*b*d*x)*(6*A - 11*B)*(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4)*1i)/(b*g^4*(a*d - b*c)^3*(11*B^2*d^3 - 6*A*B*d^3)))*(6*A - 11*B)*2i)/(9*b*g^4*(a*d - b*c)^3)","B"
190,1,1880,498,10.939650,"\text{Not used}","int((A + B*log((e*(c + d*x))/(a + b*x)))^2/(a*g + b*g*x)^5,x)","\frac{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\,\left(\frac{B^2\,d^4\,\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)}{2\,b\,g^5\,\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{A\,B}{2\,b^2\,d\,g^5}+\frac{B^2\,d^4\,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)}{2\,b\,g^5\,\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^4\,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)}{2\,b\,g^5\,\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^4\,x\,\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)}{2\,b\,g^5\,\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{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}}-{\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)}^2\,\left(\frac{B^2}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B^2\,d^4}{4\,b\,g^5\,\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{72\,A^2\,a^3\,d^3-216\,A^2\,a^2\,b\,c\,d^2+216\,A^2\,a\,b^2\,c^2\,d-72\,A^2\,b^3\,c^3-300\,A\,B\,a^3\,d^3+276\,A\,B\,a^2\,b\,c\,d^2-156\,A\,B\,a\,b^2\,c^2\,d+36\,A\,B\,b^3\,c^3+415\,B^2\,a^3\,d^3-161\,B^2\,a^2\,b\,c\,d^2+55\,B^2\,a\,b^2\,c^2\,d-9\,B^2\,b^3\,c^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2+163\,a\,B^2\,b^2\,d^3+12\,A\,c\,B\,b^3\,d^2-84\,A\,a\,B\,b^2\,d^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3-53\,B^2\,a\,b^2\,c\,d^2+7\,B^2\,b^3\,c^2\,d-156\,A\,B\,a^2\,b\,d^3+60\,A\,B\,a\,b^2\,c\,d^2-12\,A\,B\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2-12\,A\,B\,b^3\,d^2\right)}{a\,d-b\,c}}{x\,\left(96\,a^5\,b^2\,d^2\,g^5-192\,a^4\,b^3\,c\,d\,g^5+96\,a^3\,b^4\,c^2\,g^5\right)+x^3\,\left(96\,a^3\,b^4\,d^2\,g^5-192\,a^2\,b^5\,c\,d\,g^5+96\,a\,b^6\,c^2\,g^5\right)+x^4\,\left(24\,a^2\,b^5\,d^2\,g^5-48\,a\,b^6\,c\,d\,g^5+24\,b^7\,c^2\,g^5\right)+x^2\,\left(144\,a^4\,b^3\,d^2\,g^5-288\,a^3\,b^4\,c\,d\,g^5+144\,a^2\,b^5\,c^2\,g^5\right)+24\,a^6\,b\,d^2\,g^5+24\,a^4\,b^3\,c^2\,g^5-48\,a^5\,b^2\,c\,d\,g^5}+\frac{B\,d^4\,\mathrm{atan}\left(\frac{B\,d^4\,\left(12\,A-25\,B\right)\,\left(-24\,a^4\,b\,d^4\,g^5+48\,a^3\,b^2\,c\,d^3\,g^5-48\,a\,b^4\,c^3\,d\,g^5+24\,b^5\,c^4\,g^5\right)\,1{}\mathrm{i}}{24\,b\,g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4-12\,A\,B\,d^4\right)}+\frac{B\,d^5\,x\,\left(12\,A-25\,B\right)\,\left(-a^3\,b\,d^3\,g^5+3\,a^2\,b^2\,c\,d^2\,g^5-3\,a\,b^3\,c^2\,d\,g^5+b^4\,c^3\,g^5\right)\,2{}\mathrm{i}}{g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4-12\,A\,B\,d^4\right)}\right)\,\left(12\,A-25\,B\right)\,1{}\mathrm{i}}{12\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(log((e*(c + d*x))/(a + b*x))*((B^2*d^4*(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)))/(2*b*g^5*(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)) - (A*B)/(2*b^2*d*g^5) + (B^2*d^4*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)))/(2*b*g^5*(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^4*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)))/(2*b*g^5*(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^4*x*(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)))/(2*b*g^5*(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))))/((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) - log((e*(c + d*x))/(a + b*x))^2*(B^2/(4*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)/(4*b*g^5*(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))) - ((72*A^2*a^3*d^3 - 72*A^2*b^3*c^3 + 415*B^2*a^3*d^3 - 9*B^2*b^3*c^3 - 300*A*B*a^3*d^3 + 36*A*B*b^3*c^3 + 216*A^2*a*b^2*c^2*d - 216*A^2*a^2*b*c*d^2 + 55*B^2*a*b^2*c^2*d - 161*B^2*a^2*b*c*d^2 - 156*A*B*a*b^2*c^2*d + 276*A*B*a^2*b*c*d^2)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3 - 13*B^2*b^3*c*d^2 - 84*A*B*a*b^2*d^3 + 12*A*B*b^3*c*d^2))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3 + 7*B^2*b^3*c^2*d - 53*B^2*a*b^2*c*d^2 - 156*A*B*a^2*b*d^3 - 12*A*B*b^3*c^2*d + 60*A*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2 - 12*A*B*b^3*d^2))/(a*d - b*c))/(x*(96*a^3*b^4*c^2*g^5 + 96*a^5*b^2*d^2*g^5 - 192*a^4*b^3*c*d*g^5) + x^3*(96*a*b^6*c^2*g^5 + 96*a^3*b^4*d^2*g^5 - 192*a^2*b^5*c*d*g^5) + x^4*(24*b^7*c^2*g^5 + 24*a^2*b^5*d^2*g^5 - 48*a*b^6*c*d*g^5) + x^2*(144*a^2*b^5*c^2*g^5 + 144*a^4*b^3*d^2*g^5 - 288*a^3*b^4*c*d*g^5) + 24*a^6*b*d^2*g^5 + 24*a^4*b^3*c^2*g^5 - 48*a^5*b^2*c*d*g^5) + (B*d^4*atan((B*d^4*(12*A - 25*B)*(24*b^5*c^4*g^5 - 24*a^4*b*d^4*g^5 - 48*a*b^4*c^3*d*g^5 + 48*a^3*b^2*c*d^3*g^5)*1i)/(24*b*g^5*(a*d - b*c)^4*(25*B^2*d^4 - 12*A*B*d^4)) + (B*d^5*x*(12*A - 25*B)*(b^4*c^3*g^5 - a^3*b*d^3*g^5 - 3*a*b^3*c^2*d*g^5 + 3*a^2*b^2*c*d^2*g^5)*2i)/(g^5*(a*d - b*c)^4*(25*B^2*d^4 - 12*A*B*d^4)))*(12*A - 25*B)*1i)/(12*b*g^5*(a*d - b*c)^4)","B"
191,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x))/(a + b*x))),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x))/(a + b*x))), x)","F"
192,0,-1,33,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(c + d*x))/(a + b*x))),x)","\int \frac{a\,g+b\,g\,x}{A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(c + d*x))/(a + b*x))), x)","F"
193,0,-1,35,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))), x)","F"
194,0,-1,53,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))), x)","F"
195,0,-1,109,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))), x)","F"
196,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
197,0,-1,33,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(c + d*x))/(a + b*x)))^2,x)","\int \frac{a\,g+b\,g\,x}{{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(c + d*x))/(a + b*x)))^2, x)","F"
198,0,-1,35,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))^2),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x))/(a + b*x)))^2), x)","F"
199,0,-1,104,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x))/(a + b*x)))^2), x)","F"
200,0,-1,159,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,\left(c+d\,x\right)}{a+b\,x}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x))/(a + b*x)))^2), x)","F"
201,1,1024,182,4.789492,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","x^2\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{10\,b\,d}+\frac{a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{2\,b\,d}\right)-x^3\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{3\,d}+\frac{A\,a\,b^3\,c\,g^4}{3\,d}\right)+x\,\left(\frac{a^3\,g^4\,\left(5\,A\,a\,d+10\,A\,b\,c-4\,B\,a\,d+4\,B\,b\,c\right)}{d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{5\,b\,d}+\frac{2\,a^2\,b\,g^4\,\left(5\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{5\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{a\,b^2\,g^4\,\left(10\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}+\frac{A\,a\,b^3\,c\,g^4}{d}\right)}{b\,d}\right)+\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(B\,a^4\,g^4\,x+2\,B\,a^3\,b\,g^4\,x^2+2\,B\,a^2\,b^2\,g^4\,x^3+B\,a\,b^3\,g^4\,x^4+\frac{B\,b^4\,g^4\,x^5}{5}\right)+x^4\,\left(\frac{b^3\,g^4\,\left(25\,A\,a\,d+5\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{20\,d}-\frac{A\,b^3\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,d}\right)+\frac{\ln\left(c+d\,x\right)\,\left(2\,B\,a^4\,c\,d^4\,g^4-4\,B\,a^3\,b\,c^2\,d^3\,g^4+4\,B\,a^2\,b^2\,c^3\,d^2\,g^4-2\,B\,a\,b^3\,c^4\,d\,g^4+\frac{2\,B\,b^4\,c^5\,g^4}{5}\right)}{d^5}+\frac{A\,b^4\,g^4\,x^5}{5}-\frac{2\,B\,a^5\,g^4\,\ln\left(a+b\,x\right)}{5\,b}","Not used",1,"x^2*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(10*b*d) + (a^2*b*g^4*(5*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(2*b*d)) - x^3*((((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(15*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(3*d) + (A*a*b^3*c*g^4)/(3*d)) + x*((a^3*g^4*(5*A*a*d + 10*A*b*c - 4*B*a*d + 4*B*b*c))/d - ((5*a*d + 5*b*c)*(((5*a*d + 5*b*c)*((((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(5*b*d) + (2*a^2*b*g^4*(5*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/d - (a*c*((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d)))/(b*d)))/(5*b*d) + (a*c*((((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(5*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(5*d))*(5*a*d + 5*b*c))/(5*b*d) - (a*b^2*g^4*(10*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/d + (A*a*b^3*c*g^4)/d))/(b*d)) + log((e*(c + d*x)^2)/(a + b*x)^2)*((B*b^4*g^4*x^5)/5 + B*a^4*g^4*x + 2*B*a^3*b*g^4*x^2 + B*a*b^3*g^4*x^4 + 2*B*a^2*b^2*g^4*x^3) + x^4*((b^3*g^4*(25*A*a*d + 5*A*b*c - 2*B*a*d + 2*B*b*c))/(20*d) - (A*b^3*g^4*(5*a*d + 5*b*c))/(20*d)) + (log(c + d*x)*((2*B*b^4*c^5*g^4)/5 + 2*B*a^4*c*d^4*g^4 - 4*B*a^3*b*c^2*d^3*g^4 + 4*B*a^2*b^2*c^3*d^2*g^4 - 2*B*a*b^3*c^4*d*g^4))/d^5 + (A*b^4*g^4*x^5)/5 - (2*B*a^5*g^4*log(a + b*x))/(5*b)","B"
202,1,567,151,4.852769,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(B\,a^3\,g^3\,x+\frac{3\,B\,a^2\,b\,g^3\,x^2}{2}+B\,a\,b^2\,g^3\,x^3+\frac{B\,b^3\,g^3\,x^4}{4}\right)-x^2\,\left(\frac{\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{4\,b\,d}-\frac{a\,b\,g^3\,\left(3\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{2\,d}\right)+x\,\left(\frac{\left(2\,a\,d+2\,b\,c\right)\,\left(\frac{\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}-\frac{2\,a\,b\,g^3\,\left(3\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}+\frac{A\,a\,b^2\,c\,g^3}{d}\right)}{2\,b\,d}+\frac{a^2\,g^3\,\left(4\,A\,a\,d+6\,A\,b\,c-3\,B\,a\,d+3\,B\,b\,c\right)}{d}-\frac{a\,c\,\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{2\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,d}\right)}{b\,d}\right)+x^3\,\left(\frac{b^2\,g^3\,\left(8\,A\,a\,d+2\,A\,b\,c-B\,a\,d+B\,b\,c\right)}{6\,d}-\frac{A\,b^2\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{6\,d}\right)-\frac{\ln\left(c+d\,x\right)\,\left(-4\,B\,a^3\,c\,d^3\,g^3+6\,B\,a^2\,b\,c^2\,d^2\,g^3-4\,B\,a\,b^2\,c^3\,d\,g^3+B\,b^3\,c^4\,g^3\right)}{2\,d^4}+\frac{A\,b^3\,g^3\,x^4}{4}-\frac{B\,a^4\,g^3\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"log((e*(c + d*x)^2)/(a + b*x)^2)*((B*b^3*g^3*x^4)/4 + B*a^3*g^3*x + (3*B*a^2*b*g^3*x^2)/2 + B*a*b^2*g^3*x^3) - x^2*((((b^2*g^3*(8*A*a*d + 2*A*b*c - B*a*d + B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d))*(2*a*d + 2*b*c))/(4*b*d) - (a*b*g^3*(3*A*a*d + 2*A*b*c - B*a*d + B*b*c))/d + (A*a*b^2*c*g^3)/(2*d)) + x*(((2*a*d + 2*b*c)*((((b^2*g^3*(8*A*a*d + 2*A*b*c - B*a*d + B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d))*(2*a*d + 2*b*c))/(2*b*d) - (2*a*b*g^3*(3*A*a*d + 2*A*b*c - B*a*d + B*b*c))/d + (A*a*b^2*c*g^3)/d))/(2*b*d) + (a^2*g^3*(4*A*a*d + 6*A*b*c - 3*B*a*d + 3*B*b*c))/d - (a*c*((b^2*g^3*(8*A*a*d + 2*A*b*c - B*a*d + B*b*c))/(2*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(2*d)))/(b*d)) + x^3*((b^2*g^3*(8*A*a*d + 2*A*b*c - B*a*d + B*b*c))/(6*d) - (A*b^2*g^3*(2*a*d + 2*b*c))/(6*d)) - (log(c + d*x)*(B*b^3*c^4*g^3 - 4*B*a^3*c*d^3*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a*b^2*c^3*d*g^3))/(2*d^4) + (A*b^3*g^3*x^4)/4 - (B*a^4*g^3*log(a + b*x))/(2*b)","B"
203,1,296,120,4.646107,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","x^2\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{6\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,d}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{b\,g^2\,\left(9\,A\,a\,d+3\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{3\,d}-\frac{A\,b\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,d}\right)}{3\,b\,d}-\frac{a\,g^2\,\left(3\,A\,a\,d+3\,A\,b\,c-2\,B\,a\,d+2\,B\,b\,c\right)}{d}+\frac{A\,a\,b\,c\,g^2}{d}\right)+\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(B\,a^2\,g^2\,x+B\,a\,b\,g^2\,x^2+\frac{B\,b^2\,g^2\,x^3}{3}\right)+\frac{\ln\left(c+d\,x\right)\,\left(6\,B\,a^2\,c\,d^2\,g^2-6\,B\,a\,b\,c^2\,d\,g^2+2\,B\,b^2\,c^3\,g^2\right)}{3\,d^3}+\frac{A\,b^2\,g^2\,x^3}{3}-\frac{2\,B\,a^3\,g^2\,\ln\left(a+b\,x\right)}{3\,b}","Not used",1,"x^2*((b*g^2*(9*A*a*d + 3*A*b*c - 2*B*a*d + 2*B*b*c))/(6*d) - (A*b*g^2*(3*a*d + 3*b*c))/(6*d)) - x*(((3*a*d + 3*b*c)*((b*g^2*(9*A*a*d + 3*A*b*c - 2*B*a*d + 2*B*b*c))/(3*d) - (A*b*g^2*(3*a*d + 3*b*c))/(3*d)))/(3*b*d) - (a*g^2*(3*A*a*d + 3*A*b*c - 2*B*a*d + 2*B*b*c))/d + (A*a*b*c*g^2)/d) + log((e*(c + d*x)^2)/(a + b*x)^2)*((B*b^2*g^2*x^3)/3 + B*a^2*g^2*x + B*a*b*g^2*x^2) + (log(c + d*x)*(2*B*b^2*c^3*g^2 + 6*B*a^2*c*d^2*g^2 - 6*B*a*b*c^2*d*g^2))/(3*d^3) + (A*b^2*g^2*x^3)/3 - (2*B*a^3*g^2*log(a + b*x))/(3*b)","B"
204,1,120,78,4.380037,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","x\,\left(\frac{g\,\left(2\,A\,a\,d+A\,b\,c-B\,a\,d+B\,b\,c\right)}{d}-\frac{A\,g\,\left(a\,d+b\,c\right)}{d}\right)+\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(\frac{B\,b\,g\,x^2}{2}+B\,a\,g\,x\right)+\frac{A\,b\,g\,x^2}{2}-\frac{B\,a^2\,g\,\ln\left(a+b\,x\right)}{b}+\frac{B\,c\,g\,\ln\left(c+d\,x\right)\,\left(2\,a\,d-b\,c\right)}{d^2}","Not used",1,"x*((g*(2*A*a*d + A*b*c - B*a*d + B*b*c))/d - (A*g*(a*d + b*c))/d) + log((e*(c + d*x)^2)/(a + b*x)^2)*((B*b*g*x^2)/2 + B*a*g*x) + (A*b*g*x^2)/2 - (B*a^2*g*log(a + b*x))/b + (B*c*g*log(c + d*x)*(2*a*d - b*c))/d^2","B"
205,0,-1,83,0.000000,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x), x)","F"
206,1,108,102,5.943135,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x)^2,x)","-\frac{A-2\,B}{x\,b^2\,g^2+a\,b\,g^2}-\frac{B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}+\frac{B\,d\,\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}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"(B*d*atan((b*c*2i + b*d*x*2i)/(a*d - b*c) + 1i)*4i)/(b*g^2*(a*d - b*c)) - (B*log((e*(c + d*x)^2)/(a + b*x)^2))/(b^2*g^2*(x + a/b)) - (A - 2*B)/(b^2*g^2*x + a*b*g^2)","B"
207,1,206,139,5.928039,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x)^3,x)","\frac{2\,B\,d^2\,\mathrm{atanh}\left(\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{2\,b\,d\,x}{a\,d-b\,c}\right)}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}-\frac{B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{\frac{A\,a\,d-A\,b\,c-3\,B\,a\,d+B\,b\,c}{2\,\left(a\,d-b\,c\right)}-\frac{B\,b\,d\,x}{a\,d-b\,c}}{a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2}","Not used",1,"(2*B*d^2*atanh((b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)^2) - (2*b*d*x)/(a*d - b*c)))/(b*g^3*(a*d - b*c)^2) - (B*log((e*(c + d*x)^2)/(a + b*x)^2))/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - ((A*a*d - A*b*c - 3*B*a*d + B*b*c)/(2*(a*d - b*c)) - (B*b*d*x)/(a*d - b*c))/(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x)","B"
208,1,341,177,6.733467,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x)^4,x)","\frac{2\,B\,b\,c^2}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{A\,b\,c^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}{3\,b\,g^4\,{\left(a+b\,x\right)}^3}-\frac{A\,a^2\,d^2}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{11\,B\,a^2\,d^2}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{5\,B\,a\,d^2\,x}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{2\,B\,b\,d^2\,x^2}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\frac{2\,A\,a\,c\,d}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{7\,B\,a\,c\,d}{9\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}-\frac{B\,b\,c\,d\,x}{3\,g^4\,{\left(a\,d-b\,c\right)}^2\,{\left(a+b\,x\right)}^3}+\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)\,4{}\mathrm{i}}{3\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"(B*d^3*atan((a*d*1i + b*c*1i + b*d*x*2i)/(a*d - b*c))*4i)/(3*b*g^4*(a*d - b*c)^3) - (B*log((e*(c + d*x)^2)/(a + b*x)^2))/(3*b*g^4*(a + b*x)^3) - (A*b*c^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (2*B*b*c^2)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (A*a^2*d^2)/(3*b*g^4*(a*d - b*c)^2*(a + b*x)^3) + (11*B*a^2*d^2)/(9*b*g^4*(a*d - b*c)^2*(a + b*x)^3) + (5*B*a*d^2*x)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (2*B*b*d^2*x^2)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) + (2*A*a*c*d)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3) - (7*B*a*c*d)/(9*g^4*(a*d - b*c)^2*(a + b*x)^3) - (B*b*c*d*x)/(3*g^4*(a*d - b*c)^2*(a + b*x)^3)","B"
209,1,579,208,7.897316,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))/(a*g + b*g*x)^5,x)","\frac{B\,d^4\,\mathrm{atanh}\left(\frac{-2\,a^4\,b\,d^4\,g^5+4\,a^3\,b^2\,c\,d^3\,g^5-4\,a\,b^4\,c^3\,d\,g^5+2\,b^5\,c^4\,g^5}{2\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{2\,b\,d\,x\,\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(a\,d-b\,c\right)}^4}\right)}{b\,g^5\,{\left(a\,d-b\,c\right)}^4}-\frac{B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{\frac{6\,A\,a^3\,d^3-6\,A\,b^3\,c^3-25\,B\,a^3\,d^3+3\,B\,b^3\,c^3+18\,A\,a\,b^2\,c^2\,d-18\,A\,a^2\,b\,c\,d^2-13\,B\,a\,b^2\,c^2\,d+23\,B\,a^2\,b\,c\,d^2}{12\,\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\,x^2\,\left(B\,b^3\,c-7\,B\,a\,b^2\,d\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{d\,x\,\left(13\,B\,a^2\,b\,d^2-5\,B\,a\,b^2\,c\,d+B\,b^3\,c^2\right)}{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\,b^3\,d^3\,x^3}{a^3\,d^3-3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-b^3\,c^3}}{2\,a^4\,b\,g^5+8\,a^3\,b^2\,g^5\,x+12\,a^2\,b^3\,g^5\,x^2+8\,a\,b^4\,g^5\,x^3+2\,b^5\,g^5\,x^4}","Not used",1,"(B*d^4*atanh((2*b^5*c^4*g^5 - 2*a^4*b*d^4*g^5 - 4*a*b^4*c^3*d*g^5 + 4*a^3*b^2*c*d^3*g^5)/(2*b*g^5*(a*d - b*c)^4) - (2*b*d*x*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(a*d - b*c)^4))/(b*g^5*(a*d - b*c)^4) - (B*log((e*(c + d*x)^2)/(a + b*x)^2))/(4*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)) - ((6*A*a^3*d^3 - 6*A*b^3*c^3 - 25*B*a^3*d^3 + 3*B*b^3*c^3 + 18*A*a*b^2*c^2*d - 18*A*a^2*b*c*d^2 - 13*B*a*b^2*c^2*d + 23*B*a^2*b*c*d^2)/(12*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) + (d^2*x^2*(B*b^3*c - 7*B*a*b^2*d))/(2*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (d*x*(B*b^3*c^2 + 13*B*a^2*b*d^2 - 5*B*a*b^2*c*d))/(3*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2)) - (B*b^3*d^3*x^3)/(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))/(2*a^4*b*g^5 + 2*b^5*g^5*x^4 + 8*a^3*b^2*g^5*x + 8*a*b^4*g^5*x^3 + 12*a^2*b^3*g^5*x^2)","B"
210,0,-1,515,0.000000,"\text{Not used}","int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^4\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^4*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
211,0,-1,422,0.000000,"\text{Not used}","int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
212,0,-1,343,0.000000,"\text{Not used}","int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int {\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
213,0,-1,211,0.000000,"\text{Not used}","int((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int \left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
214,0,-1,132,0.000000,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2}{a\,g+b\,g\,x} \,d x","Not used",1,"int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x), x)","F"
215,1,227,157,6.488708,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x)^2,x)","\frac{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(\frac{4\,B^2}{b^2\,d\,g^2}-\frac{2\,A\,B}{b^2\,d\,g^2}\right)}{\frac{x}{d}+\frac{a}{b\,d}}-\frac{A^2-4\,A\,B+8\,B^2}{x\,b^2\,g^2+a\,b\,g^2}-{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{b^2\,g^2\,\left(x+\frac{a}{b}\right)}-\frac{B^2\,d}{b\,g^2\,\left(a\,d-b\,c\right)}\right)+\frac{B\,d\,\mathrm{atan}\left(\frac{\left(2\,b\,d\,x+\frac{c\,b^2\,g^2+a\,d\,b\,g^2}{b\,g^2}\right)\,1{}\mathrm{i}}{a\,d-b\,c}\right)\,\left(A-2\,B\right)\,8{}\mathrm{i}}{b\,g^2\,\left(a\,d-b\,c\right)}","Not used",1,"(log((e*(c + d*x)^2)/(a + b*x)^2)*((4*B^2)/(b^2*d*g^2) - (2*A*B)/(b^2*d*g^2)))/(x/d + a/(b*d)) - (A^2 + 8*B^2 - 4*A*B)/(b^2*g^2*x + a*b*g^2) - log((e*(c + d*x)^2)/(a + b*x)^2)^2*(B^2/(b^2*g^2*(x + a/b)) - (B^2*d)/(b*g^2*(a*d - b*c))) + (B*d*atan(((2*b*d*x + (b^2*c*g^2 + a*b*d*g^2)/(b*g^2))*1i)/(a*d - b*c))*(A - 2*B)*8i)/(b*g^2*(a*d - b*c))","B"
216,1,504,299,6.707043,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x)^3,x)","\frac{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(\frac{2\,B^2\,x\,\left(a\,d-b\,c\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}-\frac{A\,B}{b^2\,d\,g^3}+\frac{B^2\,d^2\,\left(\frac{2\,a^2\,d^2-3\,a\,b\,c\,d+b^2\,c^2}{b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{b\,d^2}\right)}{b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)}{\frac{b\,x^2}{d}+\frac{a^2}{b\,d}+\frac{2\,a\,x}{d}}-{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{2\,b^2\,g^3\,\left(2\,a\,x+b\,x^2+\frac{a^2}{b}\right)}-\frac{B^2\,d^2}{2\,b\,g^3\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}\right)-\frac{\frac{A^2\,a\,d-A^2\,b\,c+14\,B^2\,a\,d-2\,B^2\,b\,c-6\,A\,B\,a\,d+2\,A\,B\,b\,c}{2\,\left(a\,d-b\,c\right)}+\frac{2\,x\,\left(3\,B^2\,b\,d-A\,B\,b\,d\right)}{a\,d-b\,c}}{a^2\,b\,g^3+2\,a\,b^2\,g^3\,x+b^3\,g^3\,x^2}-\frac{B\,d^2\,\mathrm{atan}\left(\frac{B\,d^2\,\left(2\,b\,d\,x-\frac{b^3\,c^2\,g^3-a^2\,b\,d^2\,g^3}{b\,g^3\,\left(a\,d-b\,c\right)}\right)\,\left(A-3\,B\right)\,2{}\mathrm{i}}{\left(a\,d-b\,c\right)\,\left(6\,B^2\,d^2-2\,A\,B\,d^2\right)}\right)\,\left(A-3\,B\right)\,4{}\mathrm{i}}{b\,g^3\,{\left(a\,d-b\,c\right)}^2}","Not used",1,"(log((e*(c + d*x)^2)/(a + b*x)^2)*((2*B^2*x*(a*d - b*c))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d)) - (A*B)/(b^2*d*g^3) + (B^2*d^2*((2*a^2*d^2 + b^2*c^2 - 3*a*b*c*d)/(b*d^3) + (a*(a*d - b*c))/(b*d^2)))/(b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))))/((b*x^2)/d + a^2/(b*d) + (2*a*x)/d) - log((e*(c + d*x)^2)/(a + b*x)^2)^2*(B^2/(2*b^2*g^3*(2*a*x + b*x^2 + a^2/b)) - (B^2*d^2)/(2*b*g^3*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))) - ((A^2*a*d - A^2*b*c + 14*B^2*a*d - 2*B^2*b*c - 6*A*B*a*d + 2*A*B*b*c)/(2*(a*d - b*c)) + (2*x*(3*B^2*b*d - A*B*b*d))/(a*d - b*c))/(a^2*b*g^3 + b^3*g^3*x^2 + 2*a*b^2*g^3*x) - (B*d^2*atan((B*d^2*(2*b*d*x - (b^3*c^2*g^3 - a^2*b*d^2*g^3)/(b*g^3*(a*d - b*c)))*(A - 3*B)*2i)/((a*d - b*c)*(6*B^2*d^2 - 2*A*B*d^2)))*(A - 3*B)*4i)/(b*g^3*(a*d - b*c)^2)","B"
217,1,1069,407,9.082667,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x)^4,x)","\frac{\frac{9\,A^2\,a^2\,d^2-18\,A^2\,a\,b\,c\,d+9\,A^2\,b^2\,c^2-66\,A\,B\,a^2\,d^2+42\,A\,B\,a\,b\,c\,d-12\,A\,B\,b^2\,c^2+170\,B^2\,a^2\,d^2-46\,B^2\,a\,b\,c\,d+8\,B^2\,b^2\,c^2}{3\,\left(a\,d-b\,c\right)}+\frac{2\,x\,\left(-5\,c\,B^2\,b^2\,d+49\,a\,B^2\,b\,d^2+3\,A\,c\,B\,b^2\,d-15\,A\,a\,B\,b\,d^2\right)}{a\,d-b\,c}+\frac{4\,d\,x^2\,\left(11\,B^2\,b^2\,d-3\,A\,B\,b^2\,d\right)}{a\,d-b\,c}}{x\,\left(27\,a^2\,b^3\,c\,g^4-27\,a^3\,b^2\,d\,g^4\right)-x^2\,\left(27\,a^2\,b^3\,d\,g^4-27\,a\,b^4\,c\,g^4\right)+x^3\,\left(9\,b^5\,c\,g^4-9\,a\,b^4\,d\,g^4\right)+9\,a^3\,b^2\,c\,g^4-9\,a^4\,b\,d\,g^4}-{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{3\,b^2\,g^4\,\left(3\,a^2\,x+\frac{a^3}{b}+b^2\,x^3+3\,a\,b\,x^2\right)}-\frac{B^2\,d^3}{3\,b\,g^4\,\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(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(\frac{2\,A\,B}{3\,b^2\,d\,g^4}-\frac{2\,B^2\,d^3\,\left(a\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,b\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{2\,\left(3\,a^3\,d^3-6\,a^2\,b\,c\,d^2+4\,a\,b^2\,c^2\,d-b^3\,c^3\right)}{3\,b\,d^4}\right)}{3\,b\,g^4\,\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{2\,B^2\,d^3\,x^2\,\left(\frac{2\,\left(b^2\,c-a\,b\,d\right)}{3\,d^2}-\frac{4\,b\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b\,g^4\,\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{2\,B^2\,d^3\,x\,\left(b\,\left(\frac{3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2}{3\,b\,d^3}+\frac{2\,a\,\left(a\,d-b\,c\right)}{3\,b\,d^2}\right)+\frac{2\,\left(3\,a^2\,d^2-4\,a\,b\,c\,d+b^2\,c^2\right)}{3\,d^3}+\frac{4\,a\,\left(a\,d-b\,c\right)}{3\,d^2}\right)}{3\,b\,g^4\,\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{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\,\mathrm{atan}\left(\frac{B\,d^3\,\left(\frac{a^3\,b\,d^3\,g^4-a^2\,b^2\,c\,d^2\,g^4-a\,b^3\,c^2\,d\,g^4+b^4\,c^3\,g^4}{a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4}+2\,b\,d\,x\right)\,\left(3\,A-11\,B\right)\,\left(a^2\,b\,d^2\,g^4-2\,a\,b^2\,c\,d\,g^4+b^3\,c^2\,g^4\right)\,4{}\mathrm{i}}{b\,g^4\,{\left(a\,d-b\,c\right)}^3\,\left(44\,B^2\,d^3-12\,A\,B\,d^3\right)}\right)\,\left(3\,A-11\,B\right)\,8{}\mathrm{i}}{9\,b\,g^4\,{\left(a\,d-b\,c\right)}^3}","Not used",1,"((9*A^2*a^2*d^2 + 9*A^2*b^2*c^2 + 170*B^2*a^2*d^2 + 8*B^2*b^2*c^2 - 66*A*B*a^2*d^2 - 12*A*B*b^2*c^2 - 18*A^2*a*b*c*d - 46*B^2*a*b*c*d + 42*A*B*a*b*c*d)/(3*(a*d - b*c)) + (2*x*(49*B^2*a*b*d^2 - 5*B^2*b^2*c*d - 15*A*B*a*b*d^2 + 3*A*B*b^2*c*d))/(a*d - b*c) + (4*d*x^2*(11*B^2*b^2*d - 3*A*B*b^2*d))/(a*d - b*c))/(x*(27*a^2*b^3*c*g^4 - 27*a^3*b^2*d*g^4) - x^2*(27*a^2*b^3*d*g^4 - 27*a*b^4*c*g^4) + x^3*(9*b^5*c*g^4 - 9*a*b^4*d*g^4) + 9*a^3*b^2*c*g^4 - 9*a^4*b*d*g^4) - log((e*(c + d*x)^2)/(a + b*x)^2)^2*(B^2/(3*b^2*g^4*(3*a^2*x + a^3/b + b^2*x^3 + 3*a*b*x^2)) - (B^2*d^3)/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))) - (log((e*(c + d*x)^2)/(a + b*x)^2)*((2*A*B)/(3*b^2*d*g^4) - (2*B^2*d^3*(a*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*b*d^3) + (2*a*(a*d - b*c))/(3*b*d^2)) + (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*g^4*(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*d^3*x^2*((2*(b^2*c - a*b*d))/(3*d^2) - (4*b*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(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*d^3*x*(b*((3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d)/(3*b*d^3) + (2*a*(a*d - b*c))/(3*b*d^2)) + (2*(3*a^2*d^2 + b^2*c^2 - 4*a*b*c*d))/(3*d^3) + (4*a*(a*d - b*c))/(3*d^2)))/(3*b*g^4*(a^3*d^3 - b^3*c^3 + 3*a*b^2*c^2*d - 3*a^2*b*c*d^2))))/((3*a^2*x)/d + a^3/(b*d) + (b^2*x^3)/d + (3*a*b*x^2)/d) - (B*d^3*atan((B*d^3*((b^4*c^3*g^4 + a^3*b*d^3*g^4 - a*b^3*c^2*d*g^4 - a^2*b^2*c*d^2*g^4)/(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4) + 2*b*d*x)*(3*A - 11*B)*(b^3*c^2*g^4 + a^2*b*d^2*g^4 - 2*a*b^2*c*d*g^4)*4i)/(b*g^4*(a*d - b*c)^3*(44*B^2*d^3 - 12*A*B*d^3)))*(3*A - 11*B)*8i)/(9*b*g^4*(a*d - b*c)^3)","B"
218,1,1882,501,12.107723,"\text{Not used}","int((A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2/(a*g + b*g*x)^5,x)","\frac{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\,\left(\frac{B^2\,d^4\,\left(a\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,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}{6\,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}{2\,b\,d^5}\right)}{2\,b\,g^5\,\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{A\,B}{2\,b^2\,d\,g^5}+\frac{B^2\,d^4\,x^2\,\left(b\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{d^2}\right)-a\,\left(\frac{b^2\,c-a\,b\,d}{2\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{d^2}\right)+\frac{4\,a^2\,b\,d^2-5\,a\,b^2\,c\,d+b^3\,c^2}{2\,d^3}\right)}{2\,b\,g^5\,\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^4\,x^3\,\left(b\,\left(\frac{b^2\,c-a\,b\,d}{2\,d^2}-\frac{b\,\left(a\,d-b\,c\right)}{d^2}\right)+\frac{b^3\,c-a\,b^2\,d}{2\,d^2}\right)}{2\,b\,g^5\,\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^4\,x\,\left(b\,\left(a\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,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}{6\,b\,d^4}\right)+a\,\left(b\,\left(\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{6\,b\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{2\,b\,d^2}\right)+\frac{4\,a^2\,d^2-5\,a\,b\,c\,d+b^2\,c^2}{3\,d^3}+\frac{a\,\left(a\,d-b\,c\right)}{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}{2\,d^4}\right)}{2\,b\,g^5\,\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{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}}-{\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)}^2\,\left(\frac{B^2}{4\,b^2\,g^5\,\left(4\,a^3\,x+\frac{a^4}{b}+b^3\,x^4+6\,a^2\,b\,x^2+4\,a\,b^2\,x^3\right)}-\frac{B^2\,d^4}{4\,b\,g^5\,\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{18\,A^2\,a^3\,d^3-54\,A^2\,a^2\,b\,c\,d^2+54\,A^2\,a\,b^2\,c^2\,d-18\,A^2\,b^3\,c^3-150\,A\,B\,a^3\,d^3+138\,A\,B\,a^2\,b\,c\,d^2-78\,A\,B\,a\,b^2\,c^2\,d+18\,A\,B\,b^3\,c^3+415\,B^2\,a^3\,d^3-161\,B^2\,a^2\,b\,c\,d^2+55\,B^2\,a\,b^2\,c^2\,d-9\,B^2\,b^3\,c^3}{12\,\left(a\,d-b\,c\right)}+\frac{x^2\,\left(-13\,c\,B^2\,b^3\,d^2+163\,a\,B^2\,b^2\,d^3+6\,A\,c\,B\,b^3\,d^2-42\,A\,a\,B\,b^2\,d^3\right)}{2\,\left(a\,d-b\,c\right)}+\frac{x\,\left(271\,B^2\,a^2\,b\,d^3-53\,B^2\,a\,b^2\,c\,d^2+7\,B^2\,b^3\,c^2\,d-78\,A\,B\,a^2\,b\,d^3+30\,A\,B\,a\,b^2\,c\,d^2-6\,A\,B\,b^3\,c^2\,d\right)}{3\,\left(a\,d-b\,c\right)}+\frac{d\,x^3\,\left(25\,B^2\,b^3\,d^2-6\,A\,B\,b^3\,d^2\right)}{a\,d-b\,c}}{x\,\left(24\,a^5\,b^2\,d^2\,g^5-48\,a^4\,b^3\,c\,d\,g^5+24\,a^3\,b^4\,c^2\,g^5\right)+x^3\,\left(24\,a^3\,b^4\,d^2\,g^5-48\,a^2\,b^5\,c\,d\,g^5+24\,a\,b^6\,c^2\,g^5\right)+x^4\,\left(6\,a^2\,b^5\,d^2\,g^5-12\,a\,b^6\,c\,d\,g^5+6\,b^7\,c^2\,g^5\right)+x^2\,\left(36\,a^4\,b^3\,d^2\,g^5-72\,a^3\,b^4\,c\,d\,g^5+36\,a^2\,b^5\,c^2\,g^5\right)+6\,a^6\,b\,d^2\,g^5+6\,a^4\,b^3\,c^2\,g^5-12\,a^5\,b^2\,c\,d\,g^5}+\frac{B\,d^4\,\mathrm{atan}\left(\frac{B\,d^4\,\left(6\,A-25\,B\right)\,\left(-6\,a^4\,b\,d^4\,g^5+12\,a^3\,b^2\,c\,d^3\,g^5-12\,a\,b^4\,c^3\,d\,g^5+6\,b^5\,c^4\,g^5\right)\,1{}\mathrm{i}}{6\,b\,g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4-6\,A\,B\,d^4\right)}+\frac{B\,d^5\,x\,\left(6\,A-25\,B\right)\,\left(-a^3\,b\,d^3\,g^5+3\,a^2\,b^2\,c\,d^2\,g^5-3\,a\,b^3\,c^2\,d\,g^5+b^4\,c^3\,g^5\right)\,2{}\mathrm{i}}{g^5\,{\left(a\,d-b\,c\right)}^4\,\left(25\,B^2\,d^4-6\,A\,B\,d^4\right)}\right)\,\left(6\,A-25\,B\right)\,1{}\mathrm{i}}{3\,b\,g^5\,{\left(a\,d-b\,c\right)}^4}","Not used",1,"(log((e*(c + d*x)^2)/(a + b*x)^2)*((B^2*d^4*(a*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*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)/(6*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)/(2*b*d^5)))/(2*b*g^5*(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)) - (A*B)/(2*b^2*d*g^5) + (B^2*d^4*x^2*(b*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(3*d^3) + (a*(a*d - b*c))/d^2) - a*((b^2*c - a*b*d)/(2*d^2) - (b*(a*d - b*c))/d^2) + (b^3*c^2 + 4*a^2*b*d^2 - 5*a*b^2*c*d)/(2*d^3)))/(2*b*g^5*(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^4*x^3*(b*((b^2*c - a*b*d)/(2*d^2) - (b*(a*d - b*c))/d^2) + (b^3*c - a*b^2*d)/(2*d^2)))/(2*b*g^5*(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^4*x*(b*(a*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*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)/(6*b*d^4)) + a*(b*((4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(6*b*d^3) + (a*(a*d - b*c))/(2*b*d^2)) + (4*a^2*d^2 + b^2*c^2 - 5*a*b*c*d)/(3*d^3) + (a*(a*d - b*c))/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)/(2*d^4)))/(2*b*g^5*(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))))/((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) - log((e*(c + d*x)^2)/(a + b*x)^2)^2*(B^2/(4*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)/(4*b*g^5*(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))) - ((18*A^2*a^3*d^3 - 18*A^2*b^3*c^3 + 415*B^2*a^3*d^3 - 9*B^2*b^3*c^3 - 150*A*B*a^3*d^3 + 18*A*B*b^3*c^3 + 54*A^2*a*b^2*c^2*d - 54*A^2*a^2*b*c*d^2 + 55*B^2*a*b^2*c^2*d - 161*B^2*a^2*b*c*d^2 - 78*A*B*a*b^2*c^2*d + 138*A*B*a^2*b*c*d^2)/(12*(a*d - b*c)) + (x^2*(163*B^2*a*b^2*d^3 - 13*B^2*b^3*c*d^2 - 42*A*B*a*b^2*d^3 + 6*A*B*b^3*c*d^2))/(2*(a*d - b*c)) + (x*(271*B^2*a^2*b*d^3 + 7*B^2*b^3*c^2*d - 53*B^2*a*b^2*c*d^2 - 78*A*B*a^2*b*d^3 - 6*A*B*b^3*c^2*d + 30*A*B*a*b^2*c*d^2))/(3*(a*d - b*c)) + (d*x^3*(25*B^2*b^3*d^2 - 6*A*B*b^3*d^2))/(a*d - b*c))/(x*(24*a^3*b^4*c^2*g^5 + 24*a^5*b^2*d^2*g^5 - 48*a^4*b^3*c*d*g^5) + x^3*(24*a*b^6*c^2*g^5 + 24*a^3*b^4*d^2*g^5 - 48*a^2*b^5*c*d*g^5) + x^4*(6*b^7*c^2*g^5 + 6*a^2*b^5*d^2*g^5 - 12*a*b^6*c*d*g^5) + x^2*(36*a^2*b^5*c^2*g^5 + 36*a^4*b^3*d^2*g^5 - 72*a^3*b^4*c*d*g^5) + 6*a^6*b*d^2*g^5 + 6*a^4*b^3*c^2*g^5 - 12*a^5*b^2*c*d*g^5) + (B*d^4*atan((B*d^4*(6*A - 25*B)*(6*b^5*c^4*g^5 - 6*a^4*b*d^4*g^5 - 12*a*b^4*c^3*d*g^5 + 12*a^3*b^2*c*d^3*g^5)*1i)/(6*b*g^5*(a*d - b*c)^4*(25*B^2*d^4 - 6*A*B*d^4)) + (B*d^5*x*(6*A - 25*B)*(b^4*c^3*g^5 - a^3*b*d^3*g^5 - 3*a*b^3*c^2*d*g^5 + 3*a^2*b^2*c*d^2*g^5)*2i)/(g^5*(a*d - b*c)^4*(25*B^2*d^4 - 6*A*B*d^4)))*(6*A - 25*B)*1i)/(3*b*g^5*(a*d - b*c)^4)","B"
219,0,-1,37,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)), x)","F"
220,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)),x)","\int \frac{a\,g+b\,g\,x}{A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2)), x)","F"
221,0,-1,37,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))), x)","F"
222,0,-1,91,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))), x)","F"
223,0,-1,151,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))), x)","F"
224,0,-1,37,0.000000,"\text{Not used}","int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int \frac{{\left(a\,g+b\,g\,x\right)}^2}{{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)^2/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
225,0,-1,35,0.000000,"\text{Not used}","int((a*g + b*g*x)/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2,x)","\int \frac{a\,g+b\,g\,x}{{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((a*g + b*g*x)/(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2, x)","F"
226,0,-1,37,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2),x)","\int \frac{1}{\left(a\,g+b\,g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/((a*g + b*g*x)*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2), x)","F"
227,0,-1,147,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2), x)","F"
228,0,-1,206,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(c+d\,x\right)}^2}{{\left(a+b\,x\right)}^2}\right)\right)}^2} \,d x","Not used",1,"int(1/((a*g + b*g*x)^3*(A + B*log((e*(c + d*x)^2)/(a + b*x)^2))^2), x)","F"
229,0,-1,96,0.000000,"\text{Not used}","int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))),x)","\int \frac{1}{{\left(a\,g+b\,g\,x\right)}^2\,\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",1,"int(1/((a*g + b*g*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))), x)","F"
230,1,1392,355,5.342229,"\text{Not used}","int((f + g*x)^4*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^2\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+10\,B\,a\,d\,f^2\,g^2-10\,B\,b\,c\,f^2\,g^2}{10\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+5\,B\,a\,d\,f\,g^3-5\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{2\,b\,d}\right)+x^4\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{20\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,f^4\,x+2\,B\,f^3\,g\,x^2+2\,B\,f^2\,g^2\,x^3+B\,f\,g^3\,x^4+\frac{B\,g^4\,x^5}{5}\right)+x\,\left(\frac{5\,A\,b\,d\,f^4+20\,A\,a\,d\,f^3\,g+20\,A\,b\,c\,f^3\,g+10\,B\,a\,d\,f^3\,g-10\,B\,b\,c\,f^3\,g+30\,A\,a\,c\,f^2\,g^2}{5\,b\,d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+10\,B\,a\,d\,f^2\,g^2-10\,B\,b\,c\,f^2\,g^2}{5\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+5\,B\,a\,d\,f\,g^3-5\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+5\,B\,a\,d\,f\,g^3-5\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{b\,d}\right)-x^3\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+B\,a\,d\,g^4-B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+5\,B\,a\,d\,f\,g^3-5\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{15\,b\,d}+\frac{A\,a\,c\,g^4}{3\,b\,d}\right)+\frac{A\,g^4\,x^5}{5}+\frac{\ln\left(a+b\,x\right)\,\left(\frac{B\,a^5\,g^4}{5}-B\,a^4\,b\,f\,g^3+2\,B\,a^3\,b^2\,f^2\,g^2-2\,B\,a^2\,b^3\,f^3\,g+B\,a\,b^4\,f^4\right)}{b^5}-\frac{\ln\left(c+d\,x\right)\,\left(B\,c^5\,g^4-5\,B\,c^4\,d\,f\,g^3+10\,B\,c^3\,d^2\,f^2\,g^2-10\,B\,c^2\,d^3\,f^3\,g+5\,B\,c\,d^4\,f^4\right)}{5\,d^5}","Not used",1,"x^2*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 10*B*a*d*f^2*g^2 - 10*B*b*c*f^2*g^2)/(10*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 5*B*a*d*f*g^3 - 5*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(10*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(2*b*d)) + x^4*((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(20*b*d) - (A*g^4*(5*a*d + 5*b*c))/(20*b*d)) + log((e*(a + b*x))/(c + d*x))*((B*g^4*x^5)/5 + B*f^4*x + 2*B*f^2*g^2*x^3 + 2*B*f^3*g*x^2 + B*f*g^3*x^4) + x*((5*A*b*d*f^4 + 20*A*a*d*f^3*g + 20*A*b*c*f^3*g + 10*B*a*d*f^3*g - 10*B*b*c*f^3*g + 30*A*a*c*f^2*g^2)/(5*b*d) - ((5*a*d + 5*b*c)*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 10*B*a*d*f^2*g^2 - 10*B*b*c*f^2*g^2)/(5*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 5*B*a*d*f*g^3 - 5*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(5*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(b*d)))/(5*b*d) + (a*c*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 5*B*a*d*f*g^3 - 5*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(b*d)) - x^3*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + B*a*d*g^4 - B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(15*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 5*B*a*d*f*g^3 - 5*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(15*b*d) + (A*a*c*g^4)/(3*b*d)) + (A*g^4*x^5)/5 + (log(a + b*x)*((B*a^5*g^4)/5 + B*a*b^4*f^4 - 2*B*a^2*b^3*f^3*g + 2*B*a^3*b^2*f^2*g^2 - B*a^4*b*f*g^3))/b^5 - (log(c + d*x)*(B*c^5*g^4 + 5*B*c*d^4*f^4 - 10*B*c^2*d^3*f^3*g + 10*B*c^3*d^2*f^2*g^2 - 5*B*c^4*d*f*g^3))/(5*d^5)","B"
231,1,741,227,4.689108,"\text{Not used}","int((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x\,\left(\frac{4\,A\,b\,d\,f^3+12\,A\,a\,c\,f\,g^2+12\,A\,a\,d\,f^2\,g+12\,A\,b\,c\,f^2\,g+6\,B\,a\,d\,f^2\,g-6\,B\,b\,c\,f^2\,g}{4\,b\,d}+\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{4\,A\,a\,c\,g^3+12\,A\,a\,d\,f\,g^2+12\,A\,b\,c\,f\,g^2+12\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2-4\,B\,b\,c\,f\,g^2}{4\,b\,d}+\frac{A\,a\,c\,g^3}{b\,d}\right)}{4\,b\,d}-\frac{a\,c\,\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2}{4\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{4\,A\,a\,c\,g^3+12\,A\,a\,d\,f\,g^2+12\,A\,b\,c\,f\,g^2+12\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2-4\,B\,b\,c\,f\,g^2}{8\,b\,d}+\frac{A\,a\,c\,g^3}{2\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,f^3\,x+\frac{3\,B\,f^2\,g\,x^2}{2}+B\,f\,g^2\,x^3+\frac{B\,g^3\,x^4}{4}\right)+x^3\,\left(\frac{4\,A\,a\,d\,g^3+4\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+12\,A\,b\,d\,f\,g^2}{12\,b\,d}-\frac{A\,g^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b\,d}\right)+\frac{A\,g^3\,x^4}{4}-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,g^3-4\,B\,a^3\,b\,f\,g^2+6\,B\,a^2\,b^2\,f^2\,g-4\,B\,a\,b^3\,f^3\right)}{4\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(B\,c^4\,g^3-4\,B\,c^3\,d\,f\,g^2+6\,B\,c^2\,d^2\,f^2\,g-4\,B\,c\,d^3\,f^3\right)}{4\,d^4}","Not used",1,"x*((4*A*b*d*f^3 + 12*A*a*c*f*g^2 + 12*A*a*d*f^2*g + 12*A*b*c*f^2*g + 6*B*a*d*f^2*g - 6*B*b*c*f^2*g)/(4*b*d) + ((4*a*d + 4*b*c)*((((4*A*a*d*g^3 + 4*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 12*A*b*d*f*g^2)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(4*b*d) - (4*A*a*c*g^3 + 12*A*a*d*f*g^2 + 12*A*b*c*f*g^2 + 12*A*b*d*f^2*g + 4*B*a*d*f*g^2 - 4*B*b*c*f*g^2)/(4*b*d) + (A*a*c*g^3)/(b*d)))/(4*b*d) - (a*c*((4*A*a*d*g^3 + 4*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 12*A*b*d*f*g^2)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d)))/(b*d)) - x^2*((((4*A*a*d*g^3 + 4*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 12*A*b*d*f*g^2)/(4*b*d) - (A*g^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(8*b*d) - (4*A*a*c*g^3 + 12*A*a*d*f*g^2 + 12*A*b*c*f*g^2 + 12*A*b*d*f^2*g + 4*B*a*d*f*g^2 - 4*B*b*c*f*g^2)/(8*b*d) + (A*a*c*g^3)/(2*b*d)) + log((e*(a + b*x))/(c + d*x))*((B*g^3*x^4)/4 + B*f^3*x + (3*B*f^2*g*x^2)/2 + B*f*g^2*x^3) + x^3*((4*A*a*d*g^3 + 4*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 12*A*b*d*f*g^2)/(12*b*d) - (A*g^3*(4*a*d + 4*b*c))/(12*b*d)) + (A*g^3*x^4)/4 - (log(a + b*x)*(B*a^4*g^3 - 4*B*a*b^3*f^3 + 6*B*a^2*b^2*f^2*g - 4*B*a^3*b*f*g^2))/(4*b^4) + (log(c + d*x)*(B*c^4*g^3 - 4*B*c*d^3*f^3 + 6*B*c^2*d^2*f^2*g - 4*B*c^3*d*f*g^2))/(4*d^4)","B"
232,1,356,150,4.729737,"\text{Not used}","int((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x))),x)","x^2\,\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+B\,a\,d\,g^2-B\,b\,c\,g^2+6\,A\,b\,d\,f\,g}{6\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b\,d}\right)+\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\,\left(B\,f^2\,x+B\,f\,g\,x^2+\frac{B\,g^2\,x^3}{3}\right)-x\,\left(\frac{\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+B\,a\,d\,g^2-B\,b\,c\,g^2+6\,A\,b\,d\,f\,g}{3\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}\right)\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}-\frac{3\,A\,a\,c\,g^2+3\,A\,b\,d\,f^2+6\,A\,a\,d\,f\,g+6\,A\,b\,c\,f\,g+3\,B\,a\,d\,f\,g-3\,B\,b\,c\,f\,g}{3\,b\,d}+\frac{A\,a\,c\,g^2}{b\,d}\right)+\frac{\ln\left(a+b\,x\right)\,\left(B\,a^3\,g^2-3\,B\,a^2\,b\,f\,g+3\,B\,a\,b^2\,f^2\right)}{3\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(B\,c^3\,g^2-3\,B\,c^2\,d\,f\,g+3\,B\,c\,d^2\,f^2\right)}{3\,d^3}+\frac{A\,g^2\,x^3}{3}","Not used",1,"x^2*((3*A*a*d*g^2 + 3*A*b*c*g^2 + B*a*d*g^2 - B*b*c*g^2 + 6*A*b*d*f*g)/(6*b*d) - (A*g^2*(3*a*d + 3*b*c))/(6*b*d)) + log((e*(a + b*x))/(c + d*x))*((B*g^2*x^3)/3 + B*f^2*x + B*f*g*x^2) - x*((((3*A*a*d*g^2 + 3*A*b*c*g^2 + B*a*d*g^2 - B*b*c*g^2 + 6*A*b*d*f*g)/(3*b*d) - (A*g^2*(3*a*d + 3*b*c))/(3*b*d))*(3*a*d + 3*b*c))/(3*b*d) - (3*A*a*c*g^2 + 3*A*b*d*f^2 + 6*A*a*d*f*g + 6*A*b*c*f*g + 3*B*a*d*f*g - 3*B*b*c*f*g)/(3*b*d) + (A*a*c*g^2)/(b*d)) + (log(a + b*x)*(B*a^3*g^2 + 3*B*a*b^2*f^2 - 3*B*a^2*b*f*g))/(3*b^3) - (log(c + d*x)*(B*c^3*g^2 + 3*B*c*d^2*f^2 - 3*B*c^2*d*f*g))/(3*d^3) + (A*g^2*x^3)/3","B"
233,1,144,109,4.241214,"\text{Not used}","int((f + g*x)*(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\,x^2}{2}+B\,f\,x\right)+x\,\left(\frac{2\,A\,a\,d\,g+2\,A\,b\,c\,g+2\,A\,b\,d\,f+B\,a\,d\,g-B\,b\,c\,g}{2\,b\,d}-\frac{A\,g\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,g-2\,B\,a\,b\,f\right)}{2\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(B\,c^2\,g-2\,B\,c\,d\,f\right)}{2\,d^2}+\frac{A\,g\,x^2}{2}","Not used",1,"log((e*(a + b*x))/(c + d*x))*(B*f*x + (B*g*x^2)/2) + x*((2*A*a*d*g + 2*A*b*c*g + 2*A*b*d*f + B*a*d*g - B*b*c*g)/(2*b*d) - (A*g*(2*a*d + 2*b*c))/(2*b*d)) - (log(a + b*x)*(B*a^2*g - 2*B*a*b*f))/(2*b^2) + (log(c + d*x)*(B*c^2*g - 2*B*c*d*f))/(2*d^2) + (A*g*x^2)/2","B"
234,1,47,52,4.117743,"\text{Not used}","int(A + B*log((e*(a + b*x))/(c + d*x)),x)","A\,x+B\,x\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)+\frac{B\,a\,\ln\left(a+b\,x\right)}{b}-\frac{B\,c\,\ln\left(c+d\,x\right)}{d}","Not used",1,"A*x + B*x*log((e*(a + b*x))/(c + d*x)) + (B*a*log(a + b*x))/b - (B*c*log(c + d*x))/d","B"
235,0,-1,140,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{f+g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x), x)","F"
236,1,166,87,5.169335,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x)^2,x)","\frac{B\,d\,\ln\left(c+d\,x\right)}{c\,g^2-d\,f\,g}-\frac{B\,\ln\left(\frac{a\,e+b\,e\,x}{c+d\,x}\right)}{x\,g^2+f\,g}-\frac{B\,b\,\ln\left(a+b\,x\right)}{a\,g^2-b\,f\,g}-\frac{A}{x\,g^2+f\,g}-\frac{B\,a\,d\,\ln\left(f+g\,x\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}+\frac{B\,b\,c\,\ln\left(f+g\,x\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}","Not used",1,"(B*d*log(c + d*x))/(c*g^2 - d*f*g) - (B*log((a*e + b*e*x)/(c + d*x)))/(f*g + g^2*x) - (B*b*log(a + b*x))/(a*g^2 - b*f*g) - A/(f*g + g^2*x) - (B*a*d*log(f + g*x))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g) + (B*b*c*log(f + g*x))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g)","B"
237,1,417,183,7.208330,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x)^3,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(B\,a^2\,d^2-B\,b^2\,c^2\right)-2\,B\,a\,b\,d^2\,f+2\,B\,b^2\,c\,d\,f\right)}{2\,a^2\,c^2\,g^4-4\,a^2\,c\,d\,f\,g^3+2\,a^2\,d^2\,f^2\,g^2-4\,a\,b\,c^2\,f\,g^3+8\,a\,b\,c\,d\,f^2\,g^2-4\,a\,b\,d^2\,f^3\,g+2\,b^2\,c^2\,f^2\,g^2-4\,b^2\,c\,d\,f^3\,g+2\,b^2\,d^2\,f^4}-\frac{\frac{A\,a\,c\,g^2+A\,b\,d\,f^2-A\,a\,d\,f\,g-A\,b\,c\,f\,g-B\,a\,d\,f\,g+B\,b\,c\,f\,g}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}-\frac{x\,\left(B\,a\,d\,g^2-B\,b\,c\,g^2\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}}{2\,f^2\,g+4\,f\,g^2\,x+2\,g^3\,x^2}+\frac{B\,b^2\,\ln\left(a+b\,x\right)}{2\,a^2\,g^3-4\,a\,b\,f\,g^2+2\,b^2\,f^2\,g}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{2\,g\,\left(f^2+2\,f\,g\,x+g^2\,x^2\right)}-\frac{B\,d^2\,\ln\left(c+d\,x\right)}{2\,c^2\,g^3-4\,c\,d\,f\,g^2+2\,d^2\,f^2\,g}","Not used",1,"(log(f + g*x)*(g*(B*a^2*d^2 - B*b^2*c^2) - 2*B*a*b*d^2*f + 2*B*b^2*c*d*f))/(2*a^2*c^2*g^4 + 2*b^2*d^2*f^4 + 2*a^2*d^2*f^2*g^2 + 2*b^2*c^2*f^2*g^2 - 4*a*b*c^2*f*g^3 - 4*a*b*d^2*f^3*g - 4*a^2*c*d*f*g^3 - 4*b^2*c*d*f^3*g + 8*a*b*c*d*f^2*g^2) - ((A*a*c*g^2 + A*b*d*f^2 - A*a*d*f*g - A*b*c*f*g - B*a*d*f*g + B*b*c*f*g)/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g) - (x*(B*a*d*g^2 - B*b*c*g^2))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g))/(2*f^2*g + 2*g^3*x^2 + 4*f*g^2*x) + (B*b^2*log(a + b*x))/(2*a^2*g^3 + 2*b^2*f^2*g - 4*a*b*f*g^2) - (B*log((e*(a + b*x))/(c + d*x)))/(2*g*(f^2 + g^2*x^2 + 2*f*g*x)) - (B*d^2*log(c + d*x))/(2*c^2*g^3 + 2*d^2*f^2*g - 4*c*d*f*g^2)","B"
238,1,1154,275,10.669582,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x)^4,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(3\,B\,a^2\,b\,d^3\,f-3\,B\,b^3\,c^2\,d\,f\right)-g^2\,\left(B\,a^3\,d^3-B\,b^3\,c^3\right)-3\,B\,a\,b^2\,d^3\,f^2+3\,B\,b^3\,c\,d^2\,f^2\right)}{3\,a^3\,c^3\,g^6-9\,a^3\,c^2\,d\,f\,g^5+9\,a^3\,c\,d^2\,f^2\,g^4-3\,a^3\,d^3\,f^3\,g^3-9\,a^2\,b\,c^3\,f\,g^5+27\,a^2\,b\,c^2\,d\,f^2\,g^4-27\,a^2\,b\,c\,d^2\,f^3\,g^3+9\,a^2\,b\,d^3\,f^4\,g^2+9\,a\,b^2\,c^3\,f^2\,g^4-27\,a\,b^2\,c^2\,d\,f^3\,g^3+27\,a\,b^2\,c\,d^2\,f^4\,g^2-9\,a\,b^2\,d^3\,f^5\,g-3\,b^3\,c^3\,f^3\,g^3+9\,b^3\,c^2\,d\,f^4\,g^2-9\,b^3\,c\,d^2\,f^5\,g+3\,b^3\,d^3\,f^6}-\frac{\frac{2\,A\,a^2\,c^2\,g^4+2\,A\,b^2\,d^2\,f^4+2\,A\,a^2\,d^2\,f^2\,g^2+2\,A\,b^2\,c^2\,f^2\,g^2+3\,B\,a^2\,d^2\,f^2\,g^2-3\,B\,b^2\,c^2\,f^2\,g^2-4\,A\,a\,b\,c^2\,f\,g^3-4\,A\,a\,b\,d^2\,f^3\,g+B\,a\,b\,c^2\,f\,g^3-4\,A\,a^2\,c\,d\,f\,g^3-5\,B\,a\,b\,d^2\,f^3\,g-4\,A\,b^2\,c\,d\,f^3\,g-B\,a^2\,c\,d\,f\,g^3+5\,B\,b^2\,c\,d\,f^3\,g+8\,A\,a\,b\,c\,d\,f^2\,g^2}{2\,\left(a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4\right)}+\frac{x^2\,\left(B\,a^2\,d^2\,g^4-2\,B\,f\,a\,b\,d^2\,g^3-B\,b^2\,c^2\,g^4+2\,B\,f\,b^2\,c\,d\,g^3\right)}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}+\frac{x\,\left(-B\,a^2\,c\,d\,g^4+5\,B\,a^2\,d^2\,f\,g^3+B\,a\,b\,c^2\,g^4-9\,B\,a\,b\,d^2\,f^2\,g^2-5\,B\,b^2\,c^2\,f\,g^3+9\,B\,b^2\,c\,d\,f^2\,g^2\right)}{2\,\left(a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4\right)}}{3\,f^3\,g+9\,f^2\,g^2\,x+9\,f\,g^3\,x^2+3\,g^4\,x^3}-\frac{B\,b^3\,\ln\left(a+b\,x\right)}{3\,a^3\,g^4-9\,a^2\,b\,f\,g^3+9\,a\,b^2\,f^2\,g^2-3\,b^3\,f^3\,g}+\frac{B\,d^3\,\ln\left(c+d\,x\right)}{3\,c^3\,g^4-9\,c^2\,d\,f\,g^3+9\,c\,d^2\,f^2\,g^2-3\,d^3\,f^3\,g}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{3\,g\,\left(f^3+3\,f^2\,g\,x+3\,f\,g^2\,x^2+g^3\,x^3\right)}","Not used",1,"(log(f + g*x)*(g*(3*B*a^2*b*d^3*f - 3*B*b^3*c^2*d*f) - g^2*(B*a^3*d^3 - B*b^3*c^3) - 3*B*a*b^2*d^3*f^2 + 3*B*b^3*c*d^2*f^2))/(3*a^3*c^3*g^6 + 3*b^3*d^3*f^6 - 3*a^3*d^3*f^3*g^3 - 3*b^3*c^3*f^3*g^3 - 9*a^2*b*c^3*f*g^5 - 9*a*b^2*d^3*f^5*g - 9*a^3*c^2*d*f*g^5 - 9*b^3*c*d^2*f^5*g + 9*a*b^2*c^3*f^2*g^4 + 9*a^2*b*d^3*f^4*g^2 + 9*a^3*c*d^2*f^2*g^4 + 9*b^3*c^2*d*f^4*g^2 + 27*a*b^2*c*d^2*f^4*g^2 - 27*a*b^2*c^2*d*f^3*g^3 - 27*a^2*b*c*d^2*f^3*g^3 + 27*a^2*b*c^2*d*f^2*g^4) - ((2*A*a^2*c^2*g^4 + 2*A*b^2*d^2*f^4 + 2*A*a^2*d^2*f^2*g^2 + 2*A*b^2*c^2*f^2*g^2 + 3*B*a^2*d^2*f^2*g^2 - 3*B*b^2*c^2*f^2*g^2 - 4*A*a*b*c^2*f*g^3 - 4*A*a*b*d^2*f^3*g + B*a*b*c^2*f*g^3 - 4*A*a^2*c*d*f*g^3 - 5*B*a*b*d^2*f^3*g - 4*A*b^2*c*d*f^3*g - B*a^2*c*d*f*g^3 + 5*B*b^2*c*d*f^3*g + 8*A*a*b*c*d*f^2*g^2)/(2*(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2)) + (x^2*(B*a^2*d^2*g^4 - B*b^2*c^2*g^4 - 2*B*a*b*d^2*f*g^3 + 2*B*b^2*c*d*f*g^3))/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2) + (x*(5*B*a^2*d^2*f*g^3 - 5*B*b^2*c^2*f*g^3 + B*a*b*c^2*g^4 - B*a^2*c*d*g^4 - 9*B*a*b*d^2*f^2*g^2 + 9*B*b^2*c*d*f^2*g^2))/(2*(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2)))/(3*f^3*g + 3*g^4*x^3 + 9*f^2*g^2*x + 9*f*g^3*x^2) - (B*b^3*log(a + b*x))/(3*a^3*g^4 - 3*b^3*f^3*g + 9*a*b^2*f^2*g^2 - 9*a^2*b*f*g^3) + (B*d^3*log(c + d*x))/(3*c^3*g^4 - 3*d^3*f^3*g + 9*c*d^2*f^2*g^2 - 9*c^2*d*f*g^3) - (B*log((e*(a + b*x))/(c + d*x)))/(3*g*(f^3 + g^3*x^3 + 3*f^2*g*x + 3*f*g^2*x^2))","B"
239,1,2518,379,16.223004,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))/(f + g*x)^5,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(6\,B\,a^2\,b^2\,d^4\,f^2-6\,B\,b^4\,c^2\,d^2\,f^2\right)-g^2\,\left(4\,B\,a^3\,b\,d^4\,f-4\,B\,b^4\,c^3\,d\,f\right)+g^3\,\left(B\,a^4\,d^4-B\,b^4\,c^4\right)-4\,B\,a\,b^3\,d^4\,f^3+4\,B\,b^4\,c\,d^3\,f^3\right)}{4\,a^4\,c^4\,g^8-16\,a^4\,c^3\,d\,f\,g^7+24\,a^4\,c^2\,d^2\,f^2\,g^6-16\,a^4\,c\,d^3\,f^3\,g^5+4\,a^4\,d^4\,f^4\,g^4-16\,a^3\,b\,c^4\,f\,g^7+64\,a^3\,b\,c^3\,d\,f^2\,g^6-96\,a^3\,b\,c^2\,d^2\,f^3\,g^5+64\,a^3\,b\,c\,d^3\,f^4\,g^4-16\,a^3\,b\,d^4\,f^5\,g^3+24\,a^2\,b^2\,c^4\,f^2\,g^6-96\,a^2\,b^2\,c^3\,d\,f^3\,g^5+144\,a^2\,b^2\,c^2\,d^2\,f^4\,g^4-96\,a^2\,b^2\,c\,d^3\,f^5\,g^3+24\,a^2\,b^2\,d^4\,f^6\,g^2-16\,a\,b^3\,c^4\,f^3\,g^5+64\,a\,b^3\,c^3\,d\,f^4\,g^4-96\,a\,b^3\,c^2\,d^2\,f^5\,g^3+64\,a\,b^3\,c\,d^3\,f^6\,g^2-16\,a\,b^3\,d^4\,f^7\,g+4\,b^4\,c^4\,f^4\,g^4-16\,b^4\,c^3\,d\,f^5\,g^3+24\,b^4\,c^2\,d^2\,f^6\,g^2-16\,b^4\,c\,d^3\,f^7\,g+4\,b^4\,d^4\,f^8}-\frac{\frac{6\,A\,a^3\,c^3\,g^6+6\,A\,b^3\,d^3\,f^6-6\,A\,a^3\,d^3\,f^3\,g^3-6\,A\,b^3\,c^3\,f^3\,g^3-11\,B\,a^3\,d^3\,f^3\,g^3+11\,B\,b^3\,c^3\,f^3\,g^3+18\,A\,a\,b^2\,c^3\,f^2\,g^4+18\,A\,a^2\,b\,d^3\,f^4\,g^2-7\,B\,a\,b^2\,c^3\,f^2\,g^4+18\,A\,a^3\,c\,d^2\,f^2\,g^4+31\,B\,a^2\,b\,d^3\,f^4\,g^2+18\,A\,b^3\,c^2\,d\,f^4\,g^2+7\,B\,a^3\,c\,d^2\,f^2\,g^4-31\,B\,b^3\,c^2\,d\,f^4\,g^2-18\,A\,a^2\,b\,c^3\,f\,g^5-18\,A\,a\,b^2\,d^3\,f^5\,g+2\,B\,a^2\,b\,c^3\,f\,g^5-18\,A\,a^3\,c^2\,d\,f\,g^5-26\,B\,a\,b^2\,d^3\,f^5\,g-18\,A\,b^3\,c\,d^2\,f^5\,g-2\,B\,a^3\,c^2\,d\,f\,g^5+26\,B\,b^3\,c\,d^2\,f^5\,g+54\,A\,a\,b^2\,c\,d^2\,f^4\,g^2-54\,A\,a\,b^2\,c^2\,d\,f^3\,g^3-54\,A\,a^2\,b\,c\,d^2\,f^3\,g^3+54\,A\,a^2\,b\,c^2\,d\,f^2\,g^4+15\,B\,a\,b^2\,c^2\,d\,f^3\,g^3-15\,B\,a^2\,b\,c\,d^2\,f^3\,g^3}{6\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}-\frac{x^2\,\left(-B\,a^3\,c\,d^2\,g^6+7\,B\,a^3\,d^3\,f\,g^5+3\,B\,a^2\,b\,c\,d^2\,f\,g^5-21\,B\,a^2\,b\,d^3\,f^2\,g^4+B\,a\,b^2\,c^3\,g^6-3\,B\,a\,b^2\,c^2\,d\,f\,g^5+20\,B\,a\,b^2\,d^3\,f^3\,g^3-7\,B\,b^3\,c^3\,f\,g^5+21\,B\,b^3\,c^2\,d\,f^2\,g^4-20\,B\,b^3\,c\,d^2\,f^3\,g^3\right)}{2\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}+\frac{x\,\left(-B\,a^3\,c^2\,d\,g^6+5\,B\,a^3\,c\,d^2\,f\,g^5-13\,B\,a^3\,d^3\,f^2\,g^4+B\,a^2\,b\,c^3\,g^6-12\,B\,a^2\,b\,c\,d^2\,f^2\,g^4+38\,B\,a^2\,b\,d^3\,f^3\,g^3-5\,B\,a\,b^2\,c^3\,f\,g^5+12\,B\,a\,b^2\,c^2\,d\,f^2\,g^4-34\,B\,a\,b^2\,d^3\,f^4\,g^2+13\,B\,b^3\,c^3\,f^2\,g^4-38\,B\,b^3\,c^2\,d\,f^3\,g^3+34\,B\,b^3\,c\,d^2\,f^4\,g^2\right)}{3\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}-\frac{x^3\,\left(B\,a^3\,d^3\,g^6-3\,B\,a^2\,b\,d^3\,f\,g^5+3\,B\,a\,b^2\,d^3\,f^2\,g^4-B\,b^3\,c^3\,g^6+3\,B\,b^3\,c^2\,d\,f\,g^5-3\,B\,b^3\,c\,d^2\,f^2\,g^4\right)}{a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6}}{4\,f^4\,g+16\,f^3\,g^2\,x+24\,f^2\,g^3\,x^2+16\,f\,g^4\,x^3+4\,g^5\,x^4}-\frac{B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)}{4\,g\,\left(f^4+4\,f^3\,g\,x+6\,f^2\,g^2\,x^2+4\,f\,g^3\,x^3+g^4\,x^4\right)}+\frac{B\,b^4\,\ln\left(a+b\,x\right)}{4\,a^4\,g^5-16\,a^3\,b\,f\,g^4+24\,a^2\,b^2\,f^2\,g^3-16\,a\,b^3\,f^3\,g^2+4\,b^4\,f^4\,g}-\frac{B\,d^4\,\ln\left(c+d\,x\right)}{4\,c^4\,g^5-16\,c^3\,d\,f\,g^4+24\,c^2\,d^2\,f^2\,g^3-16\,c\,d^3\,f^3\,g^2+4\,d^4\,f^4\,g}","Not used",1,"(log(f + g*x)*(g*(6*B*a^2*b^2*d^4*f^2 - 6*B*b^4*c^2*d^2*f^2) - g^2*(4*B*a^3*b*d^4*f - 4*B*b^4*c^3*d*f) + g^3*(B*a^4*d^4 - B*b^4*c^4) - 4*B*a*b^3*d^4*f^3 + 4*B*b^4*c*d^3*f^3))/(4*a^4*c^4*g^8 + 4*b^4*d^4*f^8 + 4*a^4*d^4*f^4*g^4 + 4*b^4*c^4*f^4*g^4 + 24*a^2*b^2*c^4*f^2*g^6 + 24*a^2*b^2*d^4*f^6*g^2 + 24*a^4*c^2*d^2*f^2*g^6 + 24*b^4*c^2*d^2*f^6*g^2 - 16*a^3*b*c^4*f*g^7 - 16*a*b^3*d^4*f^7*g - 16*a^4*c^3*d*f*g^7 - 16*b^4*c*d^3*f^7*g - 16*a*b^3*c^4*f^3*g^5 - 16*a^3*b*d^4*f^5*g^3 - 16*a^4*c*d^3*f^3*g^5 - 16*b^4*c^3*d*f^5*g^3 + 64*a*b^3*c*d^3*f^6*g^2 + 64*a*b^3*c^3*d*f^4*g^4 + 64*a^3*b*c*d^3*f^4*g^4 + 64*a^3*b*c^3*d*f^2*g^6 - 96*a*b^3*c^2*d^2*f^5*g^3 - 96*a^2*b^2*c*d^3*f^5*g^3 - 96*a^2*b^2*c^3*d*f^3*g^5 - 96*a^3*b*c^2*d^2*f^3*g^5 + 144*a^2*b^2*c^2*d^2*f^4*g^4) - ((6*A*a^3*c^3*g^6 + 6*A*b^3*d^3*f^6 - 6*A*a^3*d^3*f^3*g^3 - 6*A*b^3*c^3*f^3*g^3 - 11*B*a^3*d^3*f^3*g^3 + 11*B*b^3*c^3*f^3*g^3 + 18*A*a*b^2*c^3*f^2*g^4 + 18*A*a^2*b*d^3*f^4*g^2 - 7*B*a*b^2*c^3*f^2*g^4 + 18*A*a^3*c*d^2*f^2*g^4 + 31*B*a^2*b*d^3*f^4*g^2 + 18*A*b^3*c^2*d*f^4*g^2 + 7*B*a^3*c*d^2*f^2*g^4 - 31*B*b^3*c^2*d*f^4*g^2 - 18*A*a^2*b*c^3*f*g^5 - 18*A*a*b^2*d^3*f^5*g + 2*B*a^2*b*c^3*f*g^5 - 18*A*a^3*c^2*d*f*g^5 - 26*B*a*b^2*d^3*f^5*g - 18*A*b^3*c*d^2*f^5*g - 2*B*a^3*c^2*d*f*g^5 + 26*B*b^3*c*d^2*f^5*g + 54*A*a*b^2*c*d^2*f^4*g^2 - 54*A*a*b^2*c^2*d*f^3*g^3 - 54*A*a^2*b*c*d^2*f^3*g^3 + 54*A*a^2*b*c^2*d*f^2*g^4 + 15*B*a*b^2*c^2*d*f^3*g^3 - 15*B*a^2*b*c*d^2*f^3*g^3)/(6*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) - (x^2*(B*a*b^2*c^3*g^6 - B*a^3*c*d^2*g^6 + 7*B*a^3*d^3*f*g^5 - 7*B*b^3*c^3*f*g^5 + 20*B*a*b^2*d^3*f^3*g^3 - 21*B*a^2*b*d^3*f^2*g^4 - 20*B*b^3*c*d^2*f^3*g^3 + 21*B*b^3*c^2*d*f^2*g^4 - 3*B*a*b^2*c^2*d*f*g^5 + 3*B*a^2*b*c*d^2*f*g^5))/(2*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) + (x*(B*a^2*b*c^3*g^6 - B*a^3*c^2*d*g^6 - 13*B*a^3*d^3*f^2*g^4 + 13*B*b^3*c^3*f^2*g^4 - 34*B*a*b^2*d^3*f^4*g^2 + 38*B*a^2*b*d^3*f^3*g^3 + 34*B*b^3*c*d^2*f^4*g^2 - 38*B*b^3*c^2*d*f^3*g^3 - 5*B*a*b^2*c^3*f*g^5 + 5*B*a^3*c*d^2*f*g^5 + 12*B*a*b^2*c^2*d*f^2*g^4 - 12*B*a^2*b*c*d^2*f^2*g^4))/(3*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) - (x^3*(B*a^3*d^3*g^6 - B*b^3*c^3*g^6 + 3*B*a*b^2*d^3*f^2*g^4 - 3*B*b^3*c*d^2*f^2*g^4 - 3*B*a^2*b*d^3*f*g^5 + 3*B*b^3*c^2*d*f*g^5))/(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4))/(4*f^4*g + 4*g^5*x^4 + 16*f^3*g^2*x + 16*f*g^4*x^3 + 24*f^2*g^3*x^2) - (B*log((e*(a + b*x))/(c + d*x)))/(4*g*(f^4 + g^4*x^4 + 4*f^3*g*x + 4*f*g^3*x^3 + 6*f^2*g^2*x^2)) + (B*b^4*log(a + b*x))/(4*a^4*g^5 + 4*b^4*f^4*g - 16*a*b^3*f^3*g^2 + 24*a^2*b^2*f^2*g^3 - 16*a^3*b*f*g^4) - (B*d^4*log(c + d*x))/(4*c^4*g^5 + 4*d^4*f^4*g - 16*c*d^3*f^3*g^2 + 24*c^2*d^2*f^2*g^3 - 16*c^3*d*f*g^4)","B"
240,0,-1,874,0.000000,"\text{Not used}","int((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(f+g\,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((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
241,0,-1,532,0.000000,"\text{Not used}","int((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\left(f+g\,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((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
242,0,-1,270,0.000000,"\text{Not used}","int((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \left(f+g\,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((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
243,0,-1,125,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int {\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 + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
244,0,-1,277,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{f+g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x), x)","F"
245,0,-1,196,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^2,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(f+g\,x\right)}^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^2, x)","F"
246,0,-1,369,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^3,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(f+g\,x\right)}^3} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^3, x)","F"
247,0,-1,714,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^4,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(f+g\,x\right)}^4} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^4, x)","F"
248,0,-1,1159,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^5,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2}{{\left(f+g\,x\right)}^5} \,d x","Not used",1,"int((A + B*log((e*(a + b*x))/(c + d*x)))^2/(f + g*x)^5, x)","F"
249,1,28,35,0.185630,"\text{Not used}","int(log((x + 1)/(x - 1))/x^2,x)","2\,\ln\left(x\right)-\ln\left(x^2-1\right)-\frac{\ln\left(\frac{x+1}{x-1}\right)}{x}","Not used",1,"2*log(x) - log(x^2 - 1) - log((x + 1)/(x - 1))/x","B"
250,0,-1,32,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x))),x)","\int \frac{{\left(f+g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)} \,d x","Not used",0,"int((f + g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x))), x)","F"
251,0,-1,30,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log((e*(a + b*x))/(c + d*x))),x)","\int \frac{f+g\,x}{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)} \,d x","Not used",0,"int((f + g*x)/(A + B*log((e*(a + b*x))/(c + d*x))), x)","F"
252,0,-1,24,0.000000,"\text{Not used}","int(1/(A + B*log((e*(a + b*x))/(c + d*x))),x)","\int \frac{1}{A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)} \,d x","Not used",0,"int(1/(A + B*log((e*(a + b*x))/(c + d*x))), x)","F"
253,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{\left(f+g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
254,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{{\left(f+g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
255,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))),x)","\int \frac{1}{{\left(f+g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))), x)","F"
256,0,-1,32,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \frac{{\left(f+g\,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",0,"int((f + g*x)^2/(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
257,0,-1,30,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \frac{f+g\,x}{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2} \,d x","Not used",0,"int((f + g*x)/(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
258,0,-1,24,0.000000,"\text{Not used}","int(1/(A + B*log((e*(a + b*x))/(c + d*x)))^2,x)","\int \frac{1}{{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2} \,d x","Not used",0,"int(1/(A + B*log((e*(a + b*x))/(c + d*x)))^2, x)","F"
259,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{\left(f+g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,\left(a+b\,x\right)}{c+d\,x}\right)\right)}^2} \,d x","Not used",0,"int(1/((f + g*x)*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
260,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{{\left(f+g\,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",0,"int(1/((f + g*x)^2*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
261,0,-1,32,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2),x)","\int \frac{1}{{\left(f+g\,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",0,"int(1/((f + g*x)^3*(A + B*log((e*(a + b*x))/(c + d*x)))^2), x)","F"
262,1,1403,357,5.332538,"\text{Not used}","int((f + g*x)^4*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,f^4\,x+2\,B\,f^3\,g\,x^2+2\,B\,f^2\,g^2\,x^3+B\,f\,g^3\,x^4+\frac{B\,g^4\,x^5}{5}\right)+x^2\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+20\,B\,a\,d\,f^2\,g^2-20\,B\,b\,c\,f^2\,g^2}{10\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+10\,B\,a\,d\,f\,g^3-10\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{2\,b\,d}\right)+x^4\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{20\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,b\,d}\right)+x\,\left(\frac{5\,A\,b\,d\,f^4+20\,A\,a\,d\,f^3\,g+20\,A\,b\,c\,f^3\,g+20\,B\,a\,d\,f^3\,g-20\,B\,b\,c\,f^3\,g+30\,A\,a\,c\,f^2\,g^2}{5\,b\,d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{20\,A\,a\,c\,f\,g^3+20\,A\,b\,d\,f^3\,g+30\,A\,a\,d\,f^2\,g^2+30\,A\,b\,c\,f^2\,g^2+20\,B\,a\,d\,f^2\,g^2-20\,B\,b\,c\,f^2\,g^2}{5\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+10\,B\,a\,d\,f\,g^3-10\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+10\,B\,a\,d\,f\,g^3-10\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{5\,b\,d}+\frac{A\,a\,c\,g^4}{b\,d}\right)}{b\,d}\right)-x^3\,\left(\frac{\left(\frac{5\,A\,a\,d\,g^4+5\,A\,b\,c\,g^4+2\,B\,a\,d\,g^4-2\,B\,b\,c\,g^4+20\,A\,b\,d\,f\,g^3}{5\,b\,d}-\frac{A\,g^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{5\,A\,a\,c\,g^4+20\,A\,a\,d\,f\,g^3+20\,A\,b\,c\,f\,g^3+10\,B\,a\,d\,f\,g^3-10\,B\,b\,c\,f\,g^3+30\,A\,b\,d\,f^2\,g^2}{15\,b\,d}+\frac{A\,a\,c\,g^4}{3\,b\,d}\right)+\frac{A\,g^4\,x^5}{5}+\frac{\ln\left(a+b\,x\right)\,\left(\frac{2\,B\,a^5\,g^4}{5}-2\,B\,a^4\,b\,f\,g^3+4\,B\,a^3\,b^2\,f^2\,g^2-4\,B\,a^2\,b^3\,f^3\,g+2\,B\,a\,b^4\,f^4\right)}{b^5}-\frac{\ln\left(c+d\,x\right)\,\left(2\,B\,c^5\,g^4-10\,B\,c^4\,d\,f\,g^3+20\,B\,c^3\,d^2\,f^2\,g^2-20\,B\,c^2\,d^3\,f^3\,g+10\,B\,c\,d^4\,f^4\right)}{5\,d^5}","Not used",1,"log((e*(a + b*x)^2)/(c + d*x)^2)*((B*g^4*x^5)/5 + B*f^4*x + 2*B*f^2*g^2*x^3 + 2*B*f^3*g*x^2 + B*f*g^3*x^4) + x^2*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 20*B*a*d*f^2*g^2 - 20*B*b*c*f^2*g^2)/(10*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 10*B*a*d*f*g^3 - 10*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(10*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(2*b*d)) + x^4*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(20*b*d) - (A*g^4*(5*a*d + 5*b*c))/(20*b*d)) + x*((5*A*b*d*f^4 + 20*A*a*d*f^3*g + 20*A*b*c*f^3*g + 20*B*a*d*f^3*g - 20*B*b*c*f^3*g + 30*A*a*c*f^2*g^2)/(5*b*d) - ((5*a*d + 5*b*c)*((20*A*a*c*f*g^3 + 20*A*b*d*f^3*g + 30*A*a*d*f^2*g^2 + 30*A*b*c*f^2*g^2 + 20*B*a*d*f^2*g^2 - 20*B*b*c*f^2*g^2)/(5*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 10*B*a*d*f*g^3 - 10*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(5*b*d) - (a*c*((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d)))/(b*d)))/(5*b*d) + (a*c*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 10*B*a*d*f*g^3 - 10*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(5*b*d) + (A*a*c*g^4)/(b*d)))/(b*d)) - x^3*((((5*A*a*d*g^4 + 5*A*b*c*g^4 + 2*B*a*d*g^4 - 2*B*b*c*g^4 + 20*A*b*d*f*g^3)/(5*b*d) - (A*g^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(15*b*d) - (5*A*a*c*g^4 + 20*A*a*d*f*g^3 + 20*A*b*c*f*g^3 + 10*B*a*d*f*g^3 - 10*B*b*c*f*g^3 + 30*A*b*d*f^2*g^2)/(15*b*d) + (A*a*c*g^4)/(3*b*d)) + (A*g^4*x^5)/5 + (log(a + b*x)*((2*B*a^5*g^4)/5 + 2*B*a*b^4*f^4 - 4*B*a^2*b^3*f^3*g + 4*B*a^3*b^2*f^2*g^2 - 2*B*a^4*b*f*g^3))/b^5 - (log(c + d*x)*(2*B*c^5*g^4 + 10*B*c*d^4*f^4 - 20*B*c^2*d^3*f^3*g + 20*B*c^3*d^2*f^2*g^2 - 10*B*c^4*d*f*g^3))/(5*d^5)","B"
263,1,743,229,5.031830,"\text{Not used}","int((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,f^3\,x+\frac{3\,B\,f^2\,g\,x^2}{2}+B\,f\,g^2\,x^3+\frac{B\,g^3\,x^4}{4}\right)+x\,\left(\frac{2\,A\,b\,d\,f^3+6\,A\,a\,c\,f\,g^2+6\,A\,a\,d\,f^2\,g+6\,A\,b\,c\,f^2\,g+6\,B\,a\,d\,f^2\,g-6\,B\,b\,c\,f^2\,g}{2\,b\,d}+\frac{\left(2\,a\,d+2\,b\,c\right)\,\left(\frac{\left(\frac{2\,A\,a\,d\,g^3+2\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+6\,A\,b\,d\,f\,g^2}{2\,b\,d}-\frac{A\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}-\frac{2\,A\,a\,c\,g^3+6\,A\,a\,d\,f\,g^2+6\,A\,b\,c\,f\,g^2+6\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2-4\,B\,b\,c\,f\,g^2}{2\,b\,d}+\frac{A\,a\,c\,g^3}{b\,d}\right)}{2\,b\,d}-\frac{a\,c\,\left(\frac{2\,A\,a\,d\,g^3+2\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+6\,A\,b\,d\,f\,g^2}{2\,b\,d}-\frac{A\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)}{b\,d}\right)-x^2\,\left(\frac{\left(\frac{2\,A\,a\,d\,g^3+2\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+6\,A\,b\,d\,f\,g^2}{2\,b\,d}-\frac{A\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)\,\left(2\,a\,d+2\,b\,c\right)}{4\,b\,d}-\frac{2\,A\,a\,c\,g^3+6\,A\,a\,d\,f\,g^2+6\,A\,b\,c\,f\,g^2+6\,A\,b\,d\,f^2\,g+4\,B\,a\,d\,f\,g^2-4\,B\,b\,c\,f\,g^2}{4\,b\,d}+\frac{A\,a\,c\,g^3}{2\,b\,d}\right)+x^3\,\left(\frac{2\,A\,a\,d\,g^3+2\,A\,b\,c\,g^3+B\,a\,d\,g^3-B\,b\,c\,g^3+6\,A\,b\,d\,f\,g^2}{6\,b\,d}-\frac{A\,g^3\,\left(2\,a\,d+2\,b\,c\right)}{6\,b\,d}\right)+\frac{A\,g^3\,x^4}{4}-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^4\,g^3-4\,B\,a^3\,b\,f\,g^2+6\,B\,a^2\,b^2\,f^2\,g-4\,B\,a\,b^3\,f^3\right)}{2\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(B\,c^4\,g^3-4\,B\,c^3\,d\,f\,g^2+6\,B\,c^2\,d^2\,f^2\,g-4\,B\,c\,d^3\,f^3\right)}{2\,d^4}","Not used",1,"log((e*(a + b*x)^2)/(c + d*x)^2)*((B*g^3*x^4)/4 + B*f^3*x + (3*B*f^2*g*x^2)/2 + B*f*g^2*x^3) + x*((2*A*b*d*f^3 + 6*A*a*c*f*g^2 + 6*A*a*d*f^2*g + 6*A*b*c*f^2*g + 6*B*a*d*f^2*g - 6*B*b*c*f^2*g)/(2*b*d) + ((2*a*d + 2*b*c)*((((2*A*a*d*g^3 + 2*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 6*A*b*d*f*g^2)/(2*b*d) - (A*g^3*(2*a*d + 2*b*c))/(2*b*d))*(2*a*d + 2*b*c))/(2*b*d) - (2*A*a*c*g^3 + 6*A*a*d*f*g^2 + 6*A*b*c*f*g^2 + 6*A*b*d*f^2*g + 4*B*a*d*f*g^2 - 4*B*b*c*f*g^2)/(2*b*d) + (A*a*c*g^3)/(b*d)))/(2*b*d) - (a*c*((2*A*a*d*g^3 + 2*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 6*A*b*d*f*g^2)/(2*b*d) - (A*g^3*(2*a*d + 2*b*c))/(2*b*d)))/(b*d)) - x^2*((((2*A*a*d*g^3 + 2*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 6*A*b*d*f*g^2)/(2*b*d) - (A*g^3*(2*a*d + 2*b*c))/(2*b*d))*(2*a*d + 2*b*c))/(4*b*d) - (2*A*a*c*g^3 + 6*A*a*d*f*g^2 + 6*A*b*c*f*g^2 + 6*A*b*d*f^2*g + 4*B*a*d*f*g^2 - 4*B*b*c*f*g^2)/(4*b*d) + (A*a*c*g^3)/(2*b*d)) + x^3*((2*A*a*d*g^3 + 2*A*b*c*g^3 + B*a*d*g^3 - B*b*c*g^3 + 6*A*b*d*f*g^2)/(6*b*d) - (A*g^3*(2*a*d + 2*b*c))/(6*b*d)) + (A*g^3*x^4)/4 - (log(a + b*x)*(B*a^4*g^3 - 4*B*a*b^3*f^3 + 6*B*a^2*b^2*f^2*g - 4*B*a^3*b*f*g^2))/(2*b^4) + (log(c + d*x)*(B*c^4*g^3 - 4*B*c*d^3*f^3 + 6*B*c^2*d^2*f^2*g - 4*B*c^3*d*f*g^2))/(2*d^4)","B"
264,1,362,152,4.786268,"\text{Not used}","int((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(B\,f^2\,x+B\,f\,g\,x^2+\frac{B\,g^2\,x^3}{3}\right)+x^2\,\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+2\,B\,a\,d\,g^2-2\,B\,b\,c\,g^2+6\,A\,b\,d\,f\,g}{6\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b\,d}\right)-x\,\left(\frac{\left(\frac{3\,A\,a\,d\,g^2+3\,A\,b\,c\,g^2+2\,B\,a\,d\,g^2-2\,B\,b\,c\,g^2+6\,A\,b\,d\,f\,g}{3\,b\,d}-\frac{A\,g^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}\right)\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}-\frac{3\,A\,a\,c\,g^2+3\,A\,b\,d\,f^2+6\,A\,a\,d\,f\,g+6\,A\,b\,c\,f\,g+6\,B\,a\,d\,f\,g-6\,B\,b\,c\,f\,g}{3\,b\,d}+\frac{A\,a\,c\,g^2}{b\,d}\right)+\frac{\ln\left(a+b\,x\right)\,\left(2\,B\,a^3\,g^2-6\,B\,a^2\,b\,f\,g+6\,B\,a\,b^2\,f^2\right)}{3\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(2\,B\,c^3\,g^2-6\,B\,c^2\,d\,f\,g+6\,B\,c\,d^2\,f^2\right)}{3\,d^3}+\frac{A\,g^2\,x^3}{3}","Not used",1,"log((e*(a + b*x)^2)/(c + d*x)^2)*((B*g^2*x^3)/3 + B*f^2*x + B*f*g*x^2) + x^2*((3*A*a*d*g^2 + 3*A*b*c*g^2 + 2*B*a*d*g^2 - 2*B*b*c*g^2 + 6*A*b*d*f*g)/(6*b*d) - (A*g^2*(3*a*d + 3*b*c))/(6*b*d)) - x*((((3*A*a*d*g^2 + 3*A*b*c*g^2 + 2*B*a*d*g^2 - 2*B*b*c*g^2 + 6*A*b*d*f*g)/(3*b*d) - (A*g^2*(3*a*d + 3*b*c))/(3*b*d))*(3*a*d + 3*b*c))/(3*b*d) - (3*A*a*c*g^2 + 3*A*b*d*f^2 + 6*A*a*d*f*g + 6*A*b*c*f*g + 6*B*a*d*f*g - 6*B*b*c*f*g)/(3*b*d) + (A*a*c*g^2)/(b*d)) + (log(a + b*x)*(2*B*a^3*g^2 + 6*B*a*b^2*f^2 - 6*B*a^2*b*f*g))/(3*b^3) - (log(c + d*x)*(2*B*c^3*g^2 + 6*B*c*d^2*f^2 - 6*B*c^2*d*f*g))/(3*d^3) + (A*g^2*x^3)/3","B"
265,1,133,104,4.499536,"\text{Not used}","int((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\,\left(\frac{B\,g\,x^2}{2}+B\,f\,x\right)+x\,\left(\frac{A\,a\,d\,g+A\,b\,c\,g+A\,b\,d\,f+B\,a\,d\,g-B\,b\,c\,g}{b\,d}-\frac{A\,g\,\left(a\,d+b\,c\right)}{b\,d}\right)+\frac{A\,g\,x^2}{2}-\frac{B\,a\,\ln\left(a+b\,x\right)\,\left(a\,g-2\,b\,f\right)}{b^2}+\frac{B\,c\,\ln\left(c+d\,x\right)\,\left(c\,g-2\,d\,f\right)}{d^2}","Not used",1,"log((e*(a + b*x)^2)/(c + d*x)^2)*(B*f*x + (B*g*x^2)/2) + x*((A*a*d*g + A*b*c*g + A*b*d*f + B*a*d*g - B*b*c*g)/(b*d) - (A*g*(a*d + b*c))/(b*d)) + (A*g*x^2)/2 - (B*a*log(a + b*x)*(a*g - 2*b*f))/b^2 + (B*c*log(c + d*x)*(c*g - 2*d*f))/d^2","B"
266,1,50,54,4.289063,"\text{Not used}","int(A + B*log((e*(a + b*x)^2)/(c + d*x)^2),x)","A\,x+B\,x\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)+\frac{2\,B\,a\,\ln\left(a+b\,x\right)}{b}-\frac{2\,B\,c\,\ln\left(c+d\,x\right)}{d}","Not used",1,"A*x + B*x*log((e*(a + b*x)^2)/(c + d*x)^2) + (2*B*a*log(a + b*x))/b - (2*B*c*log(c + d*x))/d","B"
267,0,-1,144,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{f+g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x), x)","F"
268,1,191,90,5.339085,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x)^2,x)","\frac{2\,B\,d\,\ln\left(c+d\,x\right)}{c\,g^2-d\,f\,g}-\frac{B\,\ln\left(\frac{e\,a^2+2\,e\,a\,b\,x+e\,b^2\,x^2}{c^2+2\,c\,d\,x+d^2\,x^2}\right)}{x\,g^2+f\,g}-\frac{2\,B\,b\,\ln\left(a+b\,x\right)}{a\,g^2-b\,f\,g}-\frac{A}{x\,g^2+f\,g}-\frac{2\,B\,a\,d\,\ln\left(f+g\,x\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}+\frac{2\,B\,b\,c\,\ln\left(f+g\,x\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}","Not used",1,"(2*B*d*log(c + d*x))/(c*g^2 - d*f*g) - (B*log((a^2*e + b^2*e*x^2 + 2*a*b*e*x)/(c^2 + d^2*x^2 + 2*c*d*x)))/(f*g + g^2*x) - (2*B*b*log(a + b*x))/(a*g^2 - b*f*g) - A/(f*g + g^2*x) - (2*B*a*d*log(f + g*x))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g) + (2*B*b*c*log(f + g*x))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g)","B"
269,1,412,175,7.448422,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x)^3,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(B\,a^2\,d^2-B\,b^2\,c^2\right)-2\,B\,a\,b\,d^2\,f+2\,B\,b^2\,c\,d\,f\right)}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}-\frac{\frac{A\,a\,c\,g^2+A\,b\,d\,f^2-A\,a\,d\,f\,g-A\,b\,c\,f\,g-2\,B\,a\,d\,f\,g+2\,B\,b\,c\,f\,g}{2\,\left(a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g\right)}-\frac{x\,\left(B\,a\,d\,g^2-B\,b\,c\,g^2\right)}{a\,c\,g^2+b\,d\,f^2-a\,d\,f\,g-b\,c\,f\,g}}{f^2\,g+2\,f\,g^2\,x+g^3\,x^2}+\frac{B\,b^2\,\ln\left(a+b\,x\right)}{a^2\,g^3-2\,a\,b\,f\,g^2+b^2\,f^2\,g}-\frac{B\,d^2\,\ln\left(c+d\,x\right)}{c^2\,g^3-2\,c\,d\,f\,g^2+d^2\,f^2\,g}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{2\,g\,\left(f^2+2\,f\,g\,x+g^2\,x^2\right)}","Not used",1,"(log(f + g*x)*(g*(B*a^2*d^2 - B*b^2*c^2) - 2*B*a*b*d^2*f + 2*B*b^2*c*d*f))/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2) - ((A*a*c*g^2 + A*b*d*f^2 - A*a*d*f*g - A*b*c*f*g - 2*B*a*d*f*g + 2*B*b*c*f*g)/(2*(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g)) - (x*(B*a*d*g^2 - B*b*c*g^2))/(a*c*g^2 + b*d*f^2 - a*d*f*g - b*c*f*g))/(f^2*g + g^3*x^2 + 2*f*g^2*x) + (B*b^2*log(a + b*x))/(a^2*g^3 + b^2*f^2*g - 2*a*b*f*g^2) - (B*d^2*log(c + d*x))/(c^2*g^3 + d^2*f^2*g - 2*c*d*f*g^2) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(2*g*(f^2 + g^2*x^2 + 2*f*g*x))","B"
270,1,1147,277,11.577364,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x)^4,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(6\,B\,a^2\,b\,d^3\,f-6\,B\,b^3\,c^2\,d\,f\right)-g^2\,\left(2\,B\,a^3\,d^3-2\,B\,b^3\,c^3\right)-6\,B\,a\,b^2\,d^3\,f^2+6\,B\,b^3\,c\,d^2\,f^2\right)}{3\,a^3\,c^3\,g^6-9\,a^3\,c^2\,d\,f\,g^5+9\,a^3\,c\,d^2\,f^2\,g^4-3\,a^3\,d^3\,f^3\,g^3-9\,a^2\,b\,c^3\,f\,g^5+27\,a^2\,b\,c^2\,d\,f^2\,g^4-27\,a^2\,b\,c\,d^2\,f^3\,g^3+9\,a^2\,b\,d^3\,f^4\,g^2+9\,a\,b^2\,c^3\,f^2\,g^4-27\,a\,b^2\,c^2\,d\,f^3\,g^3+27\,a\,b^2\,c\,d^2\,f^4\,g^2-9\,a\,b^2\,d^3\,f^5\,g-3\,b^3\,c^3\,f^3\,g^3+9\,b^3\,c^2\,d\,f^4\,g^2-9\,b^3\,c\,d^2\,f^5\,g+3\,b^3\,d^3\,f^6}-\frac{\frac{A\,a^2\,c^2\,g^4+A\,b^2\,d^2\,f^4+A\,a^2\,d^2\,f^2\,g^2+A\,b^2\,c^2\,f^2\,g^2+3\,B\,a^2\,d^2\,f^2\,g^2-3\,B\,b^2\,c^2\,f^2\,g^2-2\,A\,a\,b\,c^2\,f\,g^3-2\,A\,a\,b\,d^2\,f^3\,g+B\,a\,b\,c^2\,f\,g^3-2\,A\,a^2\,c\,d\,f\,g^3-5\,B\,a\,b\,d^2\,f^3\,g-2\,A\,b^2\,c\,d\,f^3\,g-B\,a^2\,c\,d\,f\,g^3+5\,B\,b^2\,c\,d\,f^3\,g+4\,A\,a\,b\,c\,d\,f^2\,g^2}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}+\frac{2\,x^2\,\left(B\,a^2\,d^2\,g^4-2\,B\,f\,a\,b\,d^2\,g^3-B\,b^2\,c^2\,g^4+2\,B\,f\,b^2\,c\,d\,g^3\right)}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}+\frac{x\,\left(-B\,a^2\,c\,d\,g^4+5\,B\,a^2\,d^2\,f\,g^3+B\,a\,b\,c^2\,g^4-9\,B\,a\,b\,d^2\,f^2\,g^2-5\,B\,b^2\,c^2\,f\,g^3+9\,B\,b^2\,c\,d\,f^2\,g^2\right)}{a^2\,c^2\,g^4-2\,a^2\,c\,d\,f\,g^3+a^2\,d^2\,f^2\,g^2-2\,a\,b\,c^2\,f\,g^3+4\,a\,b\,c\,d\,f^2\,g^2-2\,a\,b\,d^2\,f^3\,g+b^2\,c^2\,f^2\,g^2-2\,b^2\,c\,d\,f^3\,g+b^2\,d^2\,f^4}}{3\,f^3\,g+9\,f^2\,g^2\,x+9\,f\,g^3\,x^2+3\,g^4\,x^3}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{3\,g\,\left(f^3+3\,f^2\,g\,x+3\,f\,g^2\,x^2+g^3\,x^3\right)}-\frac{2\,B\,b^3\,\ln\left(a+b\,x\right)}{3\,a^3\,g^4-9\,a^2\,b\,f\,g^3+9\,a\,b^2\,f^2\,g^2-3\,b^3\,f^3\,g}+\frac{2\,B\,d^3\,\ln\left(c+d\,x\right)}{3\,c^3\,g^4-9\,c^2\,d\,f\,g^3+9\,c\,d^2\,f^2\,g^2-3\,d^3\,f^3\,g}","Not used",1,"(log(f + g*x)*(g*(6*B*a^2*b*d^3*f - 6*B*b^3*c^2*d*f) - g^2*(2*B*a^3*d^3 - 2*B*b^3*c^3) - 6*B*a*b^2*d^3*f^2 + 6*B*b^3*c*d^2*f^2))/(3*a^3*c^3*g^6 + 3*b^3*d^3*f^6 - 3*a^3*d^3*f^3*g^3 - 3*b^3*c^3*f^3*g^3 - 9*a^2*b*c^3*f*g^5 - 9*a*b^2*d^3*f^5*g - 9*a^3*c^2*d*f*g^5 - 9*b^3*c*d^2*f^5*g + 9*a*b^2*c^3*f^2*g^4 + 9*a^2*b*d^3*f^4*g^2 + 9*a^3*c*d^2*f^2*g^4 + 9*b^3*c^2*d*f^4*g^2 + 27*a*b^2*c*d^2*f^4*g^2 - 27*a*b^2*c^2*d*f^3*g^3 - 27*a^2*b*c*d^2*f^3*g^3 + 27*a^2*b*c^2*d*f^2*g^4) - ((A*a^2*c^2*g^4 + A*b^2*d^2*f^4 + A*a^2*d^2*f^2*g^2 + A*b^2*c^2*f^2*g^2 + 3*B*a^2*d^2*f^2*g^2 - 3*B*b^2*c^2*f^2*g^2 - 2*A*a*b*c^2*f*g^3 - 2*A*a*b*d^2*f^3*g + B*a*b*c^2*f*g^3 - 2*A*a^2*c*d*f*g^3 - 5*B*a*b*d^2*f^3*g - 2*A*b^2*c*d*f^3*g - B*a^2*c*d*f*g^3 + 5*B*b^2*c*d*f^3*g + 4*A*a*b*c*d*f^2*g^2)/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2) + (2*x^2*(B*a^2*d^2*g^4 - B*b^2*c^2*g^4 - 2*B*a*b*d^2*f*g^3 + 2*B*b^2*c*d*f*g^3))/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2) + (x*(5*B*a^2*d^2*f*g^3 - 5*B*b^2*c^2*f*g^3 + B*a*b*c^2*g^4 - B*a^2*c*d*g^4 - 9*B*a*b*d^2*f^2*g^2 + 9*B*b^2*c*d*f^2*g^2))/(a^2*c^2*g^4 + b^2*d^2*f^4 + a^2*d^2*f^2*g^2 + b^2*c^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a*b*d^2*f^3*g - 2*a^2*c*d*f*g^3 - 2*b^2*c*d*f^3*g + 4*a*b*c*d*f^2*g^2))/(3*f^3*g + 3*g^4*x^3 + 9*f^2*g^2*x + 9*f*g^3*x^2) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(3*g*(f^3 + g^3*x^3 + 3*f^2*g*x + 3*f*g^2*x^2)) - (2*B*b^3*log(a + b*x))/(3*a^3*g^4 - 3*b^3*f^3*g + 9*a*b^2*f^2*g^2 - 9*a^2*b*f*g^3) + (2*B*d^3*log(c + d*x))/(3*c^3*g^4 - 3*d^3*f^3*g + 9*c*d^2*f^2*g^2 - 9*c^2*d*f*g^3)","B"
271,1,2520,381,17.434663,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))/(f + g*x)^5,x)","\frac{\ln\left(f+g\,x\right)\,\left(g\,\left(6\,B\,a^2\,b^2\,d^4\,f^2-6\,B\,b^4\,c^2\,d^2\,f^2\right)-g^2\,\left(4\,B\,a^3\,b\,d^4\,f-4\,B\,b^4\,c^3\,d\,f\right)+g^3\,\left(B\,a^4\,d^4-B\,b^4\,c^4\right)-4\,B\,a\,b^3\,d^4\,f^3+4\,B\,b^4\,c\,d^3\,f^3\right)}{2\,a^4\,c^4\,g^8-8\,a^4\,c^3\,d\,f\,g^7+12\,a^4\,c^2\,d^2\,f^2\,g^6-8\,a^4\,c\,d^3\,f^3\,g^5+2\,a^4\,d^4\,f^4\,g^4-8\,a^3\,b\,c^4\,f\,g^7+32\,a^3\,b\,c^3\,d\,f^2\,g^6-48\,a^3\,b\,c^2\,d^2\,f^3\,g^5+32\,a^3\,b\,c\,d^3\,f^4\,g^4-8\,a^3\,b\,d^4\,f^5\,g^3+12\,a^2\,b^2\,c^4\,f^2\,g^6-48\,a^2\,b^2\,c^3\,d\,f^3\,g^5+72\,a^2\,b^2\,c^2\,d^2\,f^4\,g^4-48\,a^2\,b^2\,c\,d^3\,f^5\,g^3+12\,a^2\,b^2\,d^4\,f^6\,g^2-8\,a\,b^3\,c^4\,f^3\,g^5+32\,a\,b^3\,c^3\,d\,f^4\,g^4-48\,a\,b^3\,c^2\,d^2\,f^5\,g^3+32\,a\,b^3\,c\,d^3\,f^6\,g^2-8\,a\,b^3\,d^4\,f^7\,g+2\,b^4\,c^4\,f^4\,g^4-8\,b^4\,c^3\,d\,f^5\,g^3+12\,b^4\,c^2\,d^2\,f^6\,g^2-8\,b^4\,c\,d^3\,f^7\,g+2\,b^4\,d^4\,f^8}-\frac{\frac{3\,A\,a^3\,c^3\,g^6+3\,A\,b^3\,d^3\,f^6-3\,A\,a^3\,d^3\,f^3\,g^3-3\,A\,b^3\,c^3\,f^3\,g^3-11\,B\,a^3\,d^3\,f^3\,g^3+11\,B\,b^3\,c^3\,f^3\,g^3+9\,A\,a\,b^2\,c^3\,f^2\,g^4+9\,A\,a^2\,b\,d^3\,f^4\,g^2-7\,B\,a\,b^2\,c^3\,f^2\,g^4+9\,A\,a^3\,c\,d^2\,f^2\,g^4+31\,B\,a^2\,b\,d^3\,f^4\,g^2+9\,A\,b^3\,c^2\,d\,f^4\,g^2+7\,B\,a^3\,c\,d^2\,f^2\,g^4-31\,B\,b^3\,c^2\,d\,f^4\,g^2-9\,A\,a^2\,b\,c^3\,f\,g^5-9\,A\,a\,b^2\,d^3\,f^5\,g+2\,B\,a^2\,b\,c^3\,f\,g^5-9\,A\,a^3\,c^2\,d\,f\,g^5-26\,B\,a\,b^2\,d^3\,f^5\,g-9\,A\,b^3\,c\,d^2\,f^5\,g-2\,B\,a^3\,c^2\,d\,f\,g^5+26\,B\,b^3\,c\,d^2\,f^5\,g+27\,A\,a\,b^2\,c\,d^2\,f^4\,g^2-27\,A\,a\,b^2\,c^2\,d\,f^3\,g^3-27\,A\,a^2\,b\,c\,d^2\,f^3\,g^3+27\,A\,a^2\,b\,c^2\,d\,f^2\,g^4+15\,B\,a\,b^2\,c^2\,d\,f^3\,g^3-15\,B\,a^2\,b\,c\,d^2\,f^3\,g^3}{6\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}-\frac{x^2\,\left(-B\,a^3\,c\,d^2\,g^6+7\,B\,a^3\,d^3\,f\,g^5+3\,B\,a^2\,b\,c\,d^2\,f\,g^5-21\,B\,a^2\,b\,d^3\,f^2\,g^4+B\,a\,b^2\,c^3\,g^6-3\,B\,a\,b^2\,c^2\,d\,f\,g^5+20\,B\,a\,b^2\,d^3\,f^3\,g^3-7\,B\,b^3\,c^3\,f\,g^5+21\,B\,b^3\,c^2\,d\,f^2\,g^4-20\,B\,b^3\,c\,d^2\,f^3\,g^3\right)}{2\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}+\frac{x\,\left(-B\,a^3\,c^2\,d\,g^6+5\,B\,a^3\,c\,d^2\,f\,g^5-13\,B\,a^3\,d^3\,f^2\,g^4+B\,a^2\,b\,c^3\,g^6-12\,B\,a^2\,b\,c\,d^2\,f^2\,g^4+38\,B\,a^2\,b\,d^3\,f^3\,g^3-5\,B\,a\,b^2\,c^3\,f\,g^5+12\,B\,a\,b^2\,c^2\,d\,f^2\,g^4-34\,B\,a\,b^2\,d^3\,f^4\,g^2+13\,B\,b^3\,c^3\,f^2\,g^4-38\,B\,b^3\,c^2\,d\,f^3\,g^3+34\,B\,b^3\,c\,d^2\,f^4\,g^2\right)}{3\,\left(a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6\right)}-\frac{x^3\,\left(B\,a^3\,d^3\,g^6-3\,B\,a^2\,b\,d^3\,f\,g^5+3\,B\,a\,b^2\,d^3\,f^2\,g^4-B\,b^3\,c^3\,g^6+3\,B\,b^3\,c^2\,d\,f\,g^5-3\,B\,b^3\,c\,d^2\,f^2\,g^4\right)}{a^3\,c^3\,g^6-3\,a^3\,c^2\,d\,f\,g^5+3\,a^3\,c\,d^2\,f^2\,g^4-a^3\,d^3\,f^3\,g^3-3\,a^2\,b\,c^3\,f\,g^5+9\,a^2\,b\,c^2\,d\,f^2\,g^4-9\,a^2\,b\,c\,d^2\,f^3\,g^3+3\,a^2\,b\,d^3\,f^4\,g^2+3\,a\,b^2\,c^3\,f^2\,g^4-9\,a\,b^2\,c^2\,d\,f^3\,g^3+9\,a\,b^2\,c\,d^2\,f^4\,g^2-3\,a\,b^2\,d^3\,f^5\,g-b^3\,c^3\,f^3\,g^3+3\,b^3\,c^2\,d\,f^4\,g^2-3\,b^3\,c\,d^2\,f^5\,g+b^3\,d^3\,f^6}}{2\,f^4\,g+8\,f^3\,g^2\,x+12\,f^2\,g^3\,x^2+8\,f\,g^4\,x^3+2\,g^5\,x^4}+\frac{B\,b^4\,\ln\left(a+b\,x\right)}{2\,a^4\,g^5-8\,a^3\,b\,f\,g^4+12\,a^2\,b^2\,f^2\,g^3-8\,a\,b^3\,f^3\,g^2+2\,b^4\,f^4\,g}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)}{4\,g\,\left(f^4+4\,f^3\,g\,x+6\,f^2\,g^2\,x^2+4\,f\,g^3\,x^3+g^4\,x^4\right)}-\frac{B\,d^4\,\ln\left(c+d\,x\right)}{2\,c^4\,g^5-8\,c^3\,d\,f\,g^4+12\,c^2\,d^2\,f^2\,g^3-8\,c\,d^3\,f^3\,g^2+2\,d^4\,f^4\,g}","Not used",1,"(log(f + g*x)*(g*(6*B*a^2*b^2*d^4*f^2 - 6*B*b^4*c^2*d^2*f^2) - g^2*(4*B*a^3*b*d^4*f - 4*B*b^4*c^3*d*f) + g^3*(B*a^4*d^4 - B*b^4*c^4) - 4*B*a*b^3*d^4*f^3 + 4*B*b^4*c*d^3*f^3))/(2*a^4*c^4*g^8 + 2*b^4*d^4*f^8 + 2*a^4*d^4*f^4*g^4 + 2*b^4*c^4*f^4*g^4 + 12*a^2*b^2*c^4*f^2*g^6 + 12*a^2*b^2*d^4*f^6*g^2 + 12*a^4*c^2*d^2*f^2*g^6 + 12*b^4*c^2*d^2*f^6*g^2 - 8*a^3*b*c^4*f*g^7 - 8*a*b^3*d^4*f^7*g - 8*a^4*c^3*d*f*g^7 - 8*b^4*c*d^3*f^7*g - 8*a*b^3*c^4*f^3*g^5 - 8*a^3*b*d^4*f^5*g^3 - 8*a^4*c*d^3*f^3*g^5 - 8*b^4*c^3*d*f^5*g^3 + 32*a*b^3*c*d^3*f^6*g^2 + 32*a*b^3*c^3*d*f^4*g^4 + 32*a^3*b*c*d^3*f^4*g^4 + 32*a^3*b*c^3*d*f^2*g^6 - 48*a*b^3*c^2*d^2*f^5*g^3 - 48*a^2*b^2*c*d^3*f^5*g^3 - 48*a^2*b^2*c^3*d*f^3*g^5 - 48*a^3*b*c^2*d^2*f^3*g^5 + 72*a^2*b^2*c^2*d^2*f^4*g^4) - ((3*A*a^3*c^3*g^6 + 3*A*b^3*d^3*f^6 - 3*A*a^3*d^3*f^3*g^3 - 3*A*b^3*c^3*f^3*g^3 - 11*B*a^3*d^3*f^3*g^3 + 11*B*b^3*c^3*f^3*g^3 + 9*A*a*b^2*c^3*f^2*g^4 + 9*A*a^2*b*d^3*f^4*g^2 - 7*B*a*b^2*c^3*f^2*g^4 + 9*A*a^3*c*d^2*f^2*g^4 + 31*B*a^2*b*d^3*f^4*g^2 + 9*A*b^3*c^2*d*f^4*g^2 + 7*B*a^3*c*d^2*f^2*g^4 - 31*B*b^3*c^2*d*f^4*g^2 - 9*A*a^2*b*c^3*f*g^5 - 9*A*a*b^2*d^3*f^5*g + 2*B*a^2*b*c^3*f*g^5 - 9*A*a^3*c^2*d*f*g^5 - 26*B*a*b^2*d^3*f^5*g - 9*A*b^3*c*d^2*f^5*g - 2*B*a^3*c^2*d*f*g^5 + 26*B*b^3*c*d^2*f^5*g + 27*A*a*b^2*c*d^2*f^4*g^2 - 27*A*a*b^2*c^2*d*f^3*g^3 - 27*A*a^2*b*c*d^2*f^3*g^3 + 27*A*a^2*b*c^2*d*f^2*g^4 + 15*B*a*b^2*c^2*d*f^3*g^3 - 15*B*a^2*b*c*d^2*f^3*g^3)/(6*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) - (x^2*(B*a*b^2*c^3*g^6 - B*a^3*c*d^2*g^6 + 7*B*a^3*d^3*f*g^5 - 7*B*b^3*c^3*f*g^5 + 20*B*a*b^2*d^3*f^3*g^3 - 21*B*a^2*b*d^3*f^2*g^4 - 20*B*b^3*c*d^2*f^3*g^3 + 21*B*b^3*c^2*d*f^2*g^4 - 3*B*a*b^2*c^2*d*f*g^5 + 3*B*a^2*b*c*d^2*f*g^5))/(2*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) + (x*(B*a^2*b*c^3*g^6 - B*a^3*c^2*d*g^6 - 13*B*a^3*d^3*f^2*g^4 + 13*B*b^3*c^3*f^2*g^4 - 34*B*a*b^2*d^3*f^4*g^2 + 38*B*a^2*b*d^3*f^3*g^3 + 34*B*b^3*c*d^2*f^4*g^2 - 38*B*b^3*c^2*d*f^3*g^3 - 5*B*a*b^2*c^3*f*g^5 + 5*B*a^3*c*d^2*f*g^5 + 12*B*a*b^2*c^2*d*f^2*g^4 - 12*B*a^2*b*c*d^2*f^2*g^4))/(3*(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4)) - (x^3*(B*a^3*d^3*g^6 - B*b^3*c^3*g^6 + 3*B*a*b^2*d^3*f^2*g^4 - 3*B*b^3*c*d^2*f^2*g^4 - 3*B*a^2*b*d^3*f*g^5 + 3*B*b^3*c^2*d*f*g^5))/(a^3*c^3*g^6 + b^3*d^3*f^6 - a^3*d^3*f^3*g^3 - b^3*c^3*f^3*g^3 - 3*a^2*b*c^3*f*g^5 - 3*a*b^2*d^3*f^5*g - 3*a^3*c^2*d*f*g^5 - 3*b^3*c*d^2*f^5*g + 3*a*b^2*c^3*f^2*g^4 + 3*a^2*b*d^3*f^4*g^2 + 3*a^3*c*d^2*f^2*g^4 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 + 9*a^2*b*c^2*d*f^2*g^4))/(2*f^4*g + 2*g^5*x^4 + 8*f^3*g^2*x + 8*f*g^4*x^3 + 12*f^2*g^3*x^2) + (B*b^4*log(a + b*x))/(2*a^4*g^5 + 2*b^4*f^4*g - 8*a*b^3*f^3*g^2 + 12*a^2*b^2*f^2*g^3 - 8*a^3*b*f*g^4) - (B*log((e*(a + b*x)^2)/(c + d*x)^2))/(4*g*(f^4 + g^4*x^4 + 4*f^3*g*x + 4*f*g^3*x^3 + 6*f^2*g^2*x^2)) - (B*d^4*log(c + d*x))/(2*c^4*g^5 + 2*d^4*f^4*g - 8*c*d^3*f^3*g^2 + 12*c^2*d^2*f^2*g^3 - 8*c^3*d*f*g^4)","B"
272,0,-1,869,0.000000,"\text{Not used}","int((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(f+g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
273,0,-1,542,0.000000,"\text{Not used}","int((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(f+g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
274,0,-1,281,0.000000,"\text{Not used}","int((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \left(f+g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
275,0,-1,129,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
276,0,-1,285,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x),x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{f+g\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x), x)","F"
277,0,-1,200,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^2,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{{\left(f+g\,x\right)}^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^2, x)","F"
278,0,-1,381,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^3,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{{\left(f+g\,x\right)}^3} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^3, x)","F"
279,0,-1,724,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^4,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{{\left(f+g\,x\right)}^4} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^4, x)","F"
280,0,-1,1154,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^5,x)","\int \frac{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2}{{\left(f+g\,x\right)}^5} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2/(f + g*x)^5, x)","F"
281,0,-1,34,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\int \frac{{\left(f+g\,x\right)}^2}{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)} \,d x","Not used",0,"int((f + g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)), x)","F"
282,0,-1,32,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\int \frac{f+g\,x}{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)} \,d x","Not used",0,"int((f + g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)), x)","F"
283,0,-1,26,0.000000,"\text{Not used}","int(1/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)),x)","\int \frac{1}{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)} \,d x","Not used",0,"int(1/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2)), x)","F"
284,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{\left(f+g\,x\right)\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
285,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{{\left(f+g\,x\right)}^2\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
286,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))),x)","\int \frac{1}{{\left(f+g\,x\right)}^3\,\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)} \,d x","Not used",0,"int(1/((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))), x)","F"
287,0,-1,34,0.000000,"\text{Not used}","int((f + g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \frac{{\left(f+g\,x\right)}^2}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((f + g*x)^2/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
288,0,-1,32,0.000000,"\text{Not used}","int((f + g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \frac{f+g\,x}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int((f + g*x)/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
289,0,-1,26,0.000000,"\text{Not used}","int(1/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2,x)","\int \frac{1}{{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2, x)","F"
290,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{\left(f+g\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/((f + g*x)*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
291,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{{\left(f+g\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/((f + g*x)^2*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
292,0,-1,34,0.000000,"\text{Not used}","int(1/((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2),x)","\int \frac{1}{{\left(f+g\,x\right)}^3\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^2}{{\left(c+d\,x\right)}^2}\right)\right)}^2} \,d x","Not used",0,"int(1/((f + g*x)^3*(A + B*log((e*(a + b*x)^2)/(c + d*x)^2))^2), x)","F"
293,1,1434,365,5.132209,"\text{Not used}","int((g + h*x)^4*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n)),x)","x\,\left(\frac{5\,A\,b\,d\,g^4+20\,A\,a\,d\,g^3\,h+20\,A\,b\,c\,g^3\,h+30\,A\,a\,c\,g^2\,h^2+10\,B\,a\,d\,g^3\,h\,n-10\,B\,b\,c\,g^3\,h\,n}{5\,b\,d}-\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{20\,A\,a\,c\,g\,h^3+20\,A\,b\,d\,g^3\,h+30\,A\,a\,d\,g^2\,h^2+30\,A\,b\,c\,g^2\,h^2+10\,B\,a\,d\,g^2\,h^2\,n-10\,B\,b\,c\,g^2\,h^2\,n}{5\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,h^4+20\,A\,a\,d\,g\,h^3+20\,A\,b\,c\,g\,h^3+30\,A\,b\,d\,g^2\,h^2+5\,B\,a\,d\,g\,h^3\,n-5\,B\,b\,c\,g\,h^3\,n}{5\,b\,d}+\frac{A\,a\,c\,h^4}{b\,d}\right)}{5\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{b\,d}\right)}{5\,b\,d}+\frac{a\,c\,\left(\frac{\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,h^4+20\,A\,a\,d\,g\,h^3+20\,A\,b\,c\,g\,h^3+30\,A\,b\,d\,g^2\,h^2+5\,B\,a\,d\,g\,h^3\,n-5\,B\,b\,c\,g\,h^3\,n}{5\,b\,d}+\frac{A\,a\,c\,h^4}{b\,d}\right)}{b\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,g^4\,x+2\,B\,g^3\,h\,x^2+2\,B\,g^2\,h^2\,x^3+B\,g\,h^3\,x^4+\frac{B\,h^4\,x^5}{5}\right)+x^4\,\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{20\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{20\,b\,d}\right)-x^3\,\left(\frac{\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{15\,b\,d}-\frac{5\,A\,a\,c\,h^4+20\,A\,a\,d\,g\,h^3+20\,A\,b\,c\,g\,h^3+30\,A\,b\,d\,g^2\,h^2+5\,B\,a\,d\,g\,h^3\,n-5\,B\,b\,c\,g\,h^3\,n}{15\,b\,d}+\frac{A\,a\,c\,h^4}{3\,b\,d}\right)+x^2\,\left(\frac{20\,A\,a\,c\,g\,h^3+20\,A\,b\,d\,g^3\,h+30\,A\,a\,d\,g^2\,h^2+30\,A\,b\,c\,g^2\,h^2+10\,B\,a\,d\,g^2\,h^2\,n-10\,B\,b\,c\,g^2\,h^2\,n}{10\,b\,d}+\frac{\left(5\,a\,d+5\,b\,c\right)\,\left(\frac{\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}-\frac{5\,A\,a\,c\,h^4+20\,A\,a\,d\,g\,h^3+20\,A\,b\,c\,g\,h^3+30\,A\,b\,d\,g^2\,h^2+5\,B\,a\,d\,g\,h^3\,n-5\,B\,b\,c\,g\,h^3\,n}{5\,b\,d}+\frac{A\,a\,c\,h^4}{b\,d}\right)}{10\,b\,d}-\frac{a\,c\,\left(\frac{5\,A\,a\,d\,h^4+5\,A\,b\,c\,h^4+20\,A\,b\,d\,g\,h^3+B\,a\,d\,h^4\,n-B\,b\,c\,h^4\,n}{5\,b\,d}-\frac{A\,h^4\,\left(5\,a\,d+5\,b\,c\right)}{5\,b\,d}\right)}{2\,b\,d}\right)+\frac{A\,h^4\,x^5}{5}+\frac{\ln\left(a+b\,x\right)\,\left(\frac{B\,n\,a^5\,h^4}{5}-B\,n\,a^4\,b\,g\,h^3+2\,B\,n\,a^3\,b^2\,g^2\,h^2-2\,B\,n\,a^2\,b^3\,g^3\,h+B\,n\,a\,b^4\,g^4\right)}{b^5}-\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^5\,h^4-5\,B\,n\,c^4\,d\,g\,h^3+10\,B\,n\,c^3\,d^2\,g^2\,h^2-10\,B\,n\,c^2\,d^3\,g^3\,h+5\,B\,n\,c\,d^4\,g^4\right)}{5\,d^5}","Not used",1,"x*((5*A*b*d*g^4 + 20*A*a*d*g^3*h + 20*A*b*c*g^3*h + 30*A*a*c*g^2*h^2 + 10*B*a*d*g^3*h*n - 10*B*b*c*g^3*h*n)/(5*b*d) - ((5*a*d + 5*b*c)*((20*A*a*c*g*h^3 + 20*A*b*d*g^3*h + 30*A*a*d*g^2*h^2 + 30*A*b*c*g^2*h^2 + 10*B*a*d*g^2*h^2*n - 10*B*b*c*g^2*h^2*n)/(5*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*h^4 + 20*A*a*d*g*h^3 + 20*A*b*c*g*h^3 + 30*A*b*d*g^2*h^2 + 5*B*a*d*g*h^3*n - 5*B*b*c*g*h^3*n)/(5*b*d) + (A*a*c*h^4)/(b*d)))/(5*b*d) - (a*c*((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d)))/(b*d)))/(5*b*d) + (a*c*((((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*h^4 + 20*A*a*d*g*h^3 + 20*A*b*c*g*h^3 + 30*A*b*d*g^2*h^2 + 5*B*a*d*g*h^3*n - 5*B*b*c*g*h^3*n)/(5*b*d) + (A*a*c*h^4)/(b*d)))/(b*d)) + log((e*(a + b*x)^n)/(c + d*x)^n)*((B*h^4*x^5)/5 + B*g^4*x + 2*B*g^2*h^2*x^3 + 2*B*g^3*h*x^2 + B*g*h^3*x^4) + x^4*((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(20*b*d) - (A*h^4*(5*a*d + 5*b*c))/(20*b*d)) - x^3*((((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(15*b*d) - (5*A*a*c*h^4 + 20*A*a*d*g*h^3 + 20*A*b*c*g*h^3 + 30*A*b*d*g^2*h^2 + 5*B*a*d*g*h^3*n - 5*B*b*c*g*h^3*n)/(15*b*d) + (A*a*c*h^4)/(3*b*d)) + x^2*((20*A*a*c*g*h^3 + 20*A*b*d*g^3*h + 30*A*a*d*g^2*h^2 + 30*A*b*c*g^2*h^2 + 10*B*a*d*g^2*h^2*n - 10*B*b*c*g^2*h^2*n)/(10*b*d) + ((5*a*d + 5*b*c)*((((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d))*(5*a*d + 5*b*c))/(5*b*d) - (5*A*a*c*h^4 + 20*A*a*d*g*h^3 + 20*A*b*c*g*h^3 + 30*A*b*d*g^2*h^2 + 5*B*a*d*g*h^3*n - 5*B*b*c*g*h^3*n)/(5*b*d) + (A*a*c*h^4)/(b*d)))/(10*b*d) - (a*c*((5*A*a*d*h^4 + 5*A*b*c*h^4 + 20*A*b*d*g*h^3 + B*a*d*h^4*n - B*b*c*h^4*n)/(5*b*d) - (A*h^4*(5*a*d + 5*b*c))/(5*b*d)))/(2*b*d)) + (A*h^4*x^5)/5 + (log(a + b*x)*((B*a^5*h^4*n)/5 + B*a*b^4*g^4*n + 2*B*a^3*b^2*g^2*h^2*n - B*a^4*b*g*h^3*n - 2*B*a^2*b^3*g^3*h*n))/b^5 - (log(c + d*x)*(B*c^5*h^4*n + 5*B*c*d^4*g^4*n + 10*B*c^3*d^2*g^2*h^2*n - 5*B*c^4*d*g*h^3*n - 10*B*c^2*d^3*g^3*h*n))/(5*d^5)","B"
294,1,767,236,4.761252,"\text{Not used}","int((g + h*x)^3*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n)),x)","x\,\left(\frac{4\,A\,b\,d\,g^3+12\,A\,a\,c\,g\,h^2+12\,A\,a\,d\,g^2\,h+12\,A\,b\,c\,g^2\,h+6\,B\,a\,d\,g^2\,h\,n-6\,B\,b\,c\,g^2\,h\,n}{4\,b\,d}+\frac{\left(4\,a\,d+4\,b\,c\right)\,\left(\frac{\left(\frac{4\,A\,a\,d\,h^3+4\,A\,b\,c\,h^3+12\,A\,b\,d\,g\,h^2+B\,a\,d\,h^3\,n-B\,b\,c\,h^3\,n}{4\,b\,d}-\frac{A\,h^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}-\frac{4\,A\,a\,c\,h^3+12\,A\,a\,d\,g\,h^2+12\,A\,b\,c\,g\,h^2+12\,A\,b\,d\,g^2\,h+4\,B\,a\,d\,g\,h^2\,n-4\,B\,b\,c\,g\,h^2\,n}{4\,b\,d}+\frac{A\,a\,c\,h^3}{b\,d}\right)}{4\,b\,d}-\frac{a\,c\,\left(\frac{4\,A\,a\,d\,h^3+4\,A\,b\,c\,h^3+12\,A\,b\,d\,g\,h^2+B\,a\,d\,h^3\,n-B\,b\,c\,h^3\,n}{4\,b\,d}-\frac{A\,h^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)}{b\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,g^3\,x+\frac{3\,B\,g^2\,h\,x^2}{2}+B\,g\,h^2\,x^3+\frac{B\,h^3\,x^4}{4}\right)-x^2\,\left(\frac{\left(\frac{4\,A\,a\,d\,h^3+4\,A\,b\,c\,h^3+12\,A\,b\,d\,g\,h^2+B\,a\,d\,h^3\,n-B\,b\,c\,h^3\,n}{4\,b\,d}-\frac{A\,h^3\,\left(4\,a\,d+4\,b\,c\right)}{4\,b\,d}\right)\,\left(4\,a\,d+4\,b\,c\right)}{8\,b\,d}-\frac{4\,A\,a\,c\,h^3+12\,A\,a\,d\,g\,h^2+12\,A\,b\,c\,g\,h^2+12\,A\,b\,d\,g^2\,h+4\,B\,a\,d\,g\,h^2\,n-4\,B\,b\,c\,g\,h^2\,n}{8\,b\,d}+\frac{A\,a\,c\,h^3}{2\,b\,d}\right)+x^3\,\left(\frac{4\,A\,a\,d\,h^3+4\,A\,b\,c\,h^3+12\,A\,b\,d\,g\,h^2+B\,a\,d\,h^3\,n-B\,b\,c\,h^3\,n}{12\,b\,d}-\frac{A\,h^3\,\left(4\,a\,d+4\,b\,c\right)}{12\,b\,d}\right)+\frac{A\,h^3\,x^4}{4}-\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^4\,h^3-4\,B\,n\,a^3\,b\,g\,h^2+6\,B\,n\,a^2\,b^2\,g^2\,h-4\,B\,n\,a\,b^3\,g^3\right)}{4\,b^4}+\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^4\,h^3-4\,B\,n\,c^3\,d\,g\,h^2+6\,B\,n\,c^2\,d^2\,g^2\,h-4\,B\,n\,c\,d^3\,g^3\right)}{4\,d^4}","Not used",1,"x*((4*A*b*d*g^3 + 12*A*a*c*g*h^2 + 12*A*a*d*g^2*h + 12*A*b*c*g^2*h + 6*B*a*d*g^2*h*n - 6*B*b*c*g^2*h*n)/(4*b*d) + ((4*a*d + 4*b*c)*((((4*A*a*d*h^3 + 4*A*b*c*h^3 + 12*A*b*d*g*h^2 + B*a*d*h^3*n - B*b*c*h^3*n)/(4*b*d) - (A*h^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(4*b*d) - (4*A*a*c*h^3 + 12*A*a*d*g*h^2 + 12*A*b*c*g*h^2 + 12*A*b*d*g^2*h + 4*B*a*d*g*h^2*n - 4*B*b*c*g*h^2*n)/(4*b*d) + (A*a*c*h^3)/(b*d)))/(4*b*d) - (a*c*((4*A*a*d*h^3 + 4*A*b*c*h^3 + 12*A*b*d*g*h^2 + B*a*d*h^3*n - B*b*c*h^3*n)/(4*b*d) - (A*h^3*(4*a*d + 4*b*c))/(4*b*d)))/(b*d)) + log((e*(a + b*x)^n)/(c + d*x)^n)*((B*h^3*x^4)/4 + B*g^3*x + (3*B*g^2*h*x^2)/2 + B*g*h^2*x^3) - x^2*((((4*A*a*d*h^3 + 4*A*b*c*h^3 + 12*A*b*d*g*h^2 + B*a*d*h^3*n - B*b*c*h^3*n)/(4*b*d) - (A*h^3*(4*a*d + 4*b*c))/(4*b*d))*(4*a*d + 4*b*c))/(8*b*d) - (4*A*a*c*h^3 + 12*A*a*d*g*h^2 + 12*A*b*c*g*h^2 + 12*A*b*d*g^2*h + 4*B*a*d*g*h^2*n - 4*B*b*c*g*h^2*n)/(8*b*d) + (A*a*c*h^3)/(2*b*d)) + x^3*((4*A*a*d*h^3 + 4*A*b*c*h^3 + 12*A*b*d*g*h^2 + B*a*d*h^3*n - B*b*c*h^3*n)/(12*b*d) - (A*h^3*(4*a*d + 4*b*c))/(12*b*d)) + (A*h^3*x^4)/4 - (log(a + b*x)*(B*a^4*h^3*n - 4*B*a*b^3*g^3*n - 4*B*a^3*b*g*h^2*n + 6*B*a^2*b^2*g^2*h*n))/(4*b^4) + (log(c + d*x)*(B*c^4*h^3*n - 4*B*c*d^3*g^3*n - 4*B*c^3*d*g*h^2*n + 6*B*c^2*d^2*g^2*h*n))/(4*d^4)","B"
295,1,372,158,4.471195,"\text{Not used}","int((g + h*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n)),x)","x^2\,\left(\frac{3\,A\,a\,d\,h^2+3\,A\,b\,c\,h^2+6\,A\,b\,d\,g\,h+B\,a\,d\,h^2\,n-B\,b\,c\,h^2\,n}{6\,b\,d}-\frac{A\,h^2\,\left(3\,a\,d+3\,b\,c\right)}{6\,b\,d}\right)+\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(B\,g^2\,x+B\,g\,h\,x^2+\frac{B\,h^2\,x^3}{3}\right)-x\,\left(\frac{\left(3\,a\,d+3\,b\,c\right)\,\left(\frac{3\,A\,a\,d\,h^2+3\,A\,b\,c\,h^2+6\,A\,b\,d\,g\,h+B\,a\,d\,h^2\,n-B\,b\,c\,h^2\,n}{3\,b\,d}-\frac{A\,h^2\,\left(3\,a\,d+3\,b\,c\right)}{3\,b\,d}\right)}{3\,b\,d}-\frac{3\,A\,a\,c\,h^2+3\,A\,b\,d\,g^2+6\,A\,a\,d\,g\,h+6\,A\,b\,c\,g\,h+3\,B\,a\,d\,g\,h\,n-3\,B\,b\,c\,g\,h\,n}{3\,b\,d}+\frac{A\,a\,c\,h^2}{b\,d}\right)+\frac{A\,h^2\,x^3}{3}+\frac{\ln\left(a+b\,x\right)\,\left(B\,n\,a^3\,h^2-3\,B\,n\,a^2\,b\,g\,h+3\,B\,n\,a\,b^2\,g^2\right)}{3\,b^3}-\frac{\ln\left(c+d\,x\right)\,\left(B\,n\,c^3\,h^2-3\,B\,n\,c^2\,d\,g\,h+3\,B\,n\,c\,d^2\,g^2\right)}{3\,d^3}","Not used",1,"x^2*((3*A*a*d*h^2 + 3*A*b*c*h^2 + 6*A*b*d*g*h + B*a*d*h^2*n - B*b*c*h^2*n)/(6*b*d) - (A*h^2*(3*a*d + 3*b*c))/(6*b*d)) + log((e*(a + b*x)^n)/(c + d*x)^n)*((B*h^2*x^3)/3 + B*g^2*x + B*g*h*x^2) - x*(((3*a*d + 3*b*c)*((3*A*a*d*h^2 + 3*A*b*c*h^2 + 6*A*b*d*g*h + B*a*d*h^2*n - B*b*c*h^2*n)/(3*b*d) - (A*h^2*(3*a*d + 3*b*c))/(3*b*d)))/(3*b*d) - (3*A*a*c*h^2 + 3*A*b*d*g^2 + 6*A*a*d*g*h + 6*A*b*c*g*h + 3*B*a*d*g*h*n - 3*B*b*c*g*h*n)/(3*b*d) + (A*a*c*h^2)/(b*d)) + (A*h^2*x^3)/3 + (log(a + b*x)*(B*a^3*h^2*n + 3*B*a*b^2*g^2*n - 3*B*a^2*b*g*h*n))/(3*b^3) - (log(c + d*x)*(B*c^3*h^2*n + 3*B*c*d^2*g^2*n - 3*B*c^2*d*g*h*n))/(3*d^3)","B"
296,1,154,116,4.392570,"\text{Not used}","int((g + h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n)),x)","\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\,\left(\frac{B\,h\,x^2}{2}+B\,g\,x\right)+x\,\left(\frac{2\,A\,a\,d\,h+2\,A\,b\,c\,h+2\,A\,b\,d\,g+B\,a\,d\,h\,n-B\,b\,c\,h\,n}{2\,b\,d}-\frac{A\,h\,\left(2\,a\,d+2\,b\,c\right)}{2\,b\,d}\right)-\frac{\ln\left(a+b\,x\right)\,\left(B\,a^2\,h\,n-2\,B\,a\,b\,g\,n\right)}{2\,b^2}+\frac{\ln\left(c+d\,x\right)\,\left(B\,c^2\,h\,n-2\,B\,c\,d\,g\,n\right)}{2\,d^2}+\frac{A\,h\,x^2}{2}","Not used",1,"log((e*(a + b*x)^n)/(c + d*x)^n)*(B*g*x + (B*h*x^2)/2) + x*((2*A*a*d*h + 2*A*b*c*h + 2*A*b*d*g + B*a*d*h*n - B*b*c*h*n)/(2*b*d) - (A*h*(2*a*d + 2*b*c))/(2*b*d)) - (log(a + b*x)*(B*a^2*h*n - 2*B*a*b*g*n))/(2*b^2) + (log(c + d*x)*(B*c^2*h*n - 2*B*c*d*g*n))/(2*d^2) + (A*h*x^2)/2","B"
297,1,53,57,4.111472,"\text{Not used}","int(A + B*log((e*(a + b*x)^n)/(c + d*x)^n),x)","A\,x+B\,x\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)+\frac{B\,a\,n\,\ln\left(a+b\,x\right)}{b}-\frac{B\,c\,n\,\ln\left(c+d\,x\right)}{d}","Not used",1,"A*x + B*x*log((e*(a + b*x)^n)/(c + d*x)^n) + (B*a*n*log(a + b*x))/b - (B*c*n*log(c + d*x))/d","B"
298,0,-1,148,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x),x)","\int \frac{A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{g+h\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x), x)","F"
299,1,141,120,4.717370,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x)^2,x)","\frac{B\,d\,n\,\ln\left(c+d\,x\right)}{c\,h^2-d\,g\,h}-\frac{\ln\left(g+h\,x\right)\,\left(B\,a\,d\,n-B\,b\,c\,n\right)}{a\,c\,h^2+b\,d\,g^2-a\,d\,g\,h-b\,c\,g\,h}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{h\,\left(g+h\,x\right)}-\frac{B\,b\,n\,\ln\left(a+b\,x\right)}{a\,h^2-b\,g\,h}-\frac{A}{x\,h^2+g\,h}","Not used",1,"(B*d*n*log(c + d*x))/(c*h^2 - d*g*h) - (log(g + h*x)*(B*a*d*n - B*b*c*n))/(a*c*h^2 + b*d*g^2 - a*d*g*h - b*c*g*h) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(h*(g + h*x)) - (B*b*n*log(a + b*x))/(a*h^2 - b*g*h) - A/(g*h + h^2*x)","B"
300,1,431,191,6.349081,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x)^3,x)","\frac{\ln\left(g+h\,x\right)\,\left(h\,\left(B\,a^2\,d^2\,n-B\,b^2\,c^2\,n\right)-2\,B\,a\,b\,d^2\,g\,n+2\,B\,b^2\,c\,d\,g\,n\right)}{2\,a^2\,c^2\,h^4-4\,a^2\,c\,d\,g\,h^3+2\,a^2\,d^2\,g^2\,h^2-4\,a\,b\,c^2\,g\,h^3+8\,a\,b\,c\,d\,g^2\,h^2-4\,a\,b\,d^2\,g^3\,h+2\,b^2\,c^2\,g^2\,h^2-4\,b^2\,c\,d\,g^3\,h+2\,b^2\,d^2\,g^4}-\frac{\frac{A\,a\,c\,h^2+A\,b\,d\,g^2-A\,a\,d\,g\,h-A\,b\,c\,g\,h-B\,a\,d\,g\,h\,n+B\,b\,c\,g\,h\,n}{a\,c\,h^2+b\,d\,g^2-a\,d\,g\,h-b\,c\,g\,h}-\frac{x\,\left(B\,a\,d\,h^2\,n-B\,b\,c\,h^2\,n\right)}{a\,c\,h^2+b\,d\,g^2-a\,d\,g\,h-b\,c\,g\,h}}{2\,g^2\,h+4\,g\,h^2\,x+2\,h^3\,x^2}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{2\,h\,\left(g^2+2\,g\,h\,x+h^2\,x^2\right)}+\frac{B\,b^2\,n\,\ln\left(a+b\,x\right)}{2\,a^2\,h^3-4\,a\,b\,g\,h^2+2\,b^2\,g^2\,h}-\frac{B\,d^2\,n\,\ln\left(c+d\,x\right)}{2\,c^2\,h^3-4\,c\,d\,g\,h^2+2\,d^2\,g^2\,h}","Not used",1,"(log(g + h*x)*(h*(B*a^2*d^2*n - B*b^2*c^2*n) - 2*B*a*b*d^2*g*n + 2*B*b^2*c*d*g*n))/(2*a^2*c^2*h^4 + 2*b^2*d^2*g^4 + 2*a^2*d^2*g^2*h^2 + 2*b^2*c^2*g^2*h^2 - 4*a*b*c^2*g*h^3 - 4*a*b*d^2*g^3*h - 4*a^2*c*d*g*h^3 - 4*b^2*c*d*g^3*h + 8*a*b*c*d*g^2*h^2) - ((A*a*c*h^2 + A*b*d*g^2 - A*a*d*g*h - A*b*c*g*h - B*a*d*g*h*n + B*b*c*g*h*n)/(a*c*h^2 + b*d*g^2 - a*d*g*h - b*c*g*h) - (x*(B*a*d*h^2*n - B*b*c*h^2*n))/(a*c*h^2 + b*d*g^2 - a*d*g*h - b*c*g*h))/(2*g^2*h + 2*h^3*x^2 + 4*g*h^2*x) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(2*h*(g^2 + h^2*x^2 + 2*g*h*x)) + (B*b^2*n*log(a + b*x))/(2*a^2*h^3 + 2*b^2*g^2*h - 4*a*b*g*h^2) - (B*d^2*n*log(c + d*x))/(2*c^2*h^3 + 2*d^2*g^2*h - 4*c*d*g*h^2)","B"
301,1,1183,284,9.259390,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x)^4,x)","\frac{B\,d^3\,n\,\ln\left(c+d\,x\right)}{3\,c^3\,h^4-9\,c^2\,d\,g\,h^3+9\,c\,d^2\,g^2\,h^2-3\,d^3\,g^3\,h}-\frac{\ln\left(g+h\,x\right)\,\left(h^2\,\left(B\,a^3\,d^3\,n-B\,b^3\,c^3\,n\right)-h\,\left(3\,B\,a^2\,b\,d^3\,g\,n-3\,B\,b^3\,c^2\,d\,g\,n\right)+3\,B\,a\,b^2\,d^3\,g^2\,n-3\,B\,b^3\,c\,d^2\,g^2\,n\right)}{3\,a^3\,c^3\,h^6-9\,a^3\,c^2\,d\,g\,h^5+9\,a^3\,c\,d^2\,g^2\,h^4-3\,a^3\,d^3\,g^3\,h^3-9\,a^2\,b\,c^3\,g\,h^5+27\,a^2\,b\,c^2\,d\,g^2\,h^4-27\,a^2\,b\,c\,d^2\,g^3\,h^3+9\,a^2\,b\,d^3\,g^4\,h^2+9\,a\,b^2\,c^3\,g^2\,h^4-27\,a\,b^2\,c^2\,d\,g^3\,h^3+27\,a\,b^2\,c\,d^2\,g^4\,h^2-9\,a\,b^2\,d^3\,g^5\,h-3\,b^3\,c^3\,g^3\,h^3+9\,b^3\,c^2\,d\,g^4\,h^2-9\,b^3\,c\,d^2\,g^5\,h+3\,b^3\,d^3\,g^6}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{3\,h\,\left(g^3+3\,g^2\,h\,x+3\,g\,h^2\,x^2+h^3\,x^3\right)}-\frac{B\,b^3\,n\,\ln\left(a+b\,x\right)}{3\,a^3\,h^4-9\,a^2\,b\,g\,h^3+9\,a\,b^2\,g^2\,h^2-3\,b^3\,g^3\,h}-\frac{\frac{2\,A\,a^2\,c^2\,h^4+2\,A\,b^2\,d^2\,g^4+2\,A\,a^2\,d^2\,g^2\,h^2+2\,A\,b^2\,c^2\,g^2\,h^2+3\,B\,a^2\,d^2\,g^2\,h^2\,n-3\,B\,b^2\,c^2\,g^2\,h^2\,n-4\,A\,a\,b\,c^2\,g\,h^3-4\,A\,a\,b\,d^2\,g^3\,h-4\,A\,a^2\,c\,d\,g\,h^3-4\,A\,b^2\,c\,d\,g^3\,h+8\,A\,a\,b\,c\,d\,g^2\,h^2+B\,a\,b\,c^2\,g\,h^3\,n-5\,B\,a\,b\,d^2\,g^3\,h\,n-B\,a^2\,c\,d\,g\,h^3\,n+5\,B\,b^2\,c\,d\,g^3\,h\,n}{2\,\left(a^2\,c^2\,h^4-2\,a^2\,c\,d\,g\,h^3+a^2\,d^2\,g^2\,h^2-2\,a\,b\,c^2\,g\,h^3+4\,a\,b\,c\,d\,g^2\,h^2-2\,a\,b\,d^2\,g^3\,h+b^2\,c^2\,g^2\,h^2-2\,b^2\,c\,d\,g^3\,h+b^2\,d^2\,g^4\right)}+\frac{x\,\left(-B\,n\,a^2\,c\,d\,h^4+5\,B\,n\,a^2\,d^2\,g\,h^3+B\,n\,a\,b\,c^2\,h^4-9\,B\,n\,a\,b\,d^2\,g^2\,h^2-5\,B\,n\,b^2\,c^2\,g\,h^3+9\,B\,n\,b^2\,c\,d\,g^2\,h^2\right)}{2\,\left(a^2\,c^2\,h^4-2\,a^2\,c\,d\,g\,h^3+a^2\,d^2\,g^2\,h^2-2\,a\,b\,c^2\,g\,h^3+4\,a\,b\,c\,d\,g^2\,h^2-2\,a\,b\,d^2\,g^3\,h+b^2\,c^2\,g^2\,h^2-2\,b^2\,c\,d\,g^3\,h+b^2\,d^2\,g^4\right)}+\frac{x^2\,\left(B\,n\,a^2\,d^2\,h^4-2\,B\,g\,n\,a\,b\,d^2\,h^3-B\,n\,b^2\,c^2\,h^4+2\,B\,g\,n\,b^2\,c\,d\,h^3\right)}{a^2\,c^2\,h^4-2\,a^2\,c\,d\,g\,h^3+a^2\,d^2\,g^2\,h^2-2\,a\,b\,c^2\,g\,h^3+4\,a\,b\,c\,d\,g^2\,h^2-2\,a\,b\,d^2\,g^3\,h+b^2\,c^2\,g^2\,h^2-2\,b^2\,c\,d\,g^3\,h+b^2\,d^2\,g^4}}{3\,g^3\,h+9\,g^2\,h^2\,x+9\,g\,h^3\,x^2+3\,h^4\,x^3}","Not used",1,"(B*d^3*n*log(c + d*x))/(3*c^3*h^4 - 3*d^3*g^3*h + 9*c*d^2*g^2*h^2 - 9*c^2*d*g*h^3) - (log(g + h*x)*(h^2*(B*a^3*d^3*n - B*b^3*c^3*n) - h*(3*B*a^2*b*d^3*g*n - 3*B*b^3*c^2*d*g*n) + 3*B*a*b^2*d^3*g^2*n - 3*B*b^3*c*d^2*g^2*n))/(3*a^3*c^3*h^6 + 3*b^3*d^3*g^6 - 3*a^3*d^3*g^3*h^3 - 3*b^3*c^3*g^3*h^3 - 9*a^2*b*c^3*g*h^5 - 9*a*b^2*d^3*g^5*h - 9*a^3*c^2*d*g*h^5 - 9*b^3*c*d^2*g^5*h + 9*a*b^2*c^3*g^2*h^4 + 9*a^2*b*d^3*g^4*h^2 + 9*a^3*c*d^2*g^2*h^4 + 9*b^3*c^2*d*g^4*h^2 + 27*a*b^2*c*d^2*g^4*h^2 - 27*a*b^2*c^2*d*g^3*h^3 - 27*a^2*b*c*d^2*g^3*h^3 + 27*a^2*b*c^2*d*g^2*h^4) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(3*h*(g^3 + h^3*x^3 + 3*g^2*h*x + 3*g*h^2*x^2)) - (B*b^3*n*log(a + b*x))/(3*a^3*h^4 - 3*b^3*g^3*h + 9*a*b^2*g^2*h^2 - 9*a^2*b*g*h^3) - ((2*A*a^2*c^2*h^4 + 2*A*b^2*d^2*g^4 + 2*A*a^2*d^2*g^2*h^2 + 2*A*b^2*c^2*g^2*h^2 + 3*B*a^2*d^2*g^2*h^2*n - 3*B*b^2*c^2*g^2*h^2*n - 4*A*a*b*c^2*g*h^3 - 4*A*a*b*d^2*g^3*h - 4*A*a^2*c*d*g*h^3 - 4*A*b^2*c*d*g^3*h + 8*A*a*b*c*d*g^2*h^2 + B*a*b*c^2*g*h^3*n - 5*B*a*b*d^2*g^3*h*n - B*a^2*c*d*g*h^3*n + 5*B*b^2*c*d*g^3*h*n)/(2*(a^2*c^2*h^4 + b^2*d^2*g^4 + a^2*d^2*g^2*h^2 + b^2*c^2*g^2*h^2 - 2*a*b*c^2*g*h^3 - 2*a*b*d^2*g^3*h - 2*a^2*c*d*g*h^3 - 2*b^2*c*d*g^3*h + 4*a*b*c*d*g^2*h^2)) + (x*(B*a*b*c^2*h^4*n - B*a^2*c*d*h^4*n + 5*B*a^2*d^2*g*h^3*n - 5*B*b^2*c^2*g*h^3*n - 9*B*a*b*d^2*g^2*h^2*n + 9*B*b^2*c*d*g^2*h^2*n))/(2*(a^2*c^2*h^4 + b^2*d^2*g^4 + a^2*d^2*g^2*h^2 + b^2*c^2*g^2*h^2 - 2*a*b*c^2*g*h^3 - 2*a*b*d^2*g^3*h - 2*a^2*c*d*g*h^3 - 2*b^2*c*d*g^3*h + 4*a*b*c*d*g^2*h^2)) + (x^2*(B*a^2*d^2*h^4*n - B*b^2*c^2*h^4*n - 2*B*a*b*d^2*g*h^3*n + 2*B*b^2*c*d*g*h^3*n))/(a^2*c^2*h^4 + b^2*d^2*g^4 + a^2*d^2*g^2*h^2 + b^2*c^2*g^2*h^2 - 2*a*b*c^2*g*h^3 - 2*a*b*d^2*g^3*h - 2*a^2*c*d*g*h^3 - 2*b^2*c*d*g^3*h + 4*a*b*c*d*g^2*h^2))/(3*g^3*h + 3*h^4*x^3 + 9*g^2*h^2*x + 9*g*h^3*x^2)","B"
302,1,2570,389,14.281663,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))/(g + h*x)^5,x)","\frac{\frac{x\,\left(B\,n\,a^3\,c^2\,d\,h^6-5\,B\,n\,a^3\,c\,d^2\,g\,h^5+13\,B\,n\,a^3\,d^3\,g^2\,h^4-B\,n\,a^2\,b\,c^3\,h^6+12\,B\,n\,a^2\,b\,c\,d^2\,g^2\,h^4-38\,B\,n\,a^2\,b\,d^3\,g^3\,h^3+5\,B\,n\,a\,b^2\,c^3\,g\,h^5-12\,B\,n\,a\,b^2\,c^2\,d\,g^2\,h^4+34\,B\,n\,a\,b^2\,d^3\,g^4\,h^2-13\,B\,n\,b^3\,c^3\,g^2\,h^4+38\,B\,n\,b^3\,c^2\,d\,g^3\,h^3-34\,B\,n\,b^3\,c\,d^2\,g^4\,h^2\right)}{3\,\left(a^3\,c^3\,h^6-3\,a^3\,c^2\,d\,g\,h^5+3\,a^3\,c\,d^2\,g^2\,h^4-a^3\,d^3\,g^3\,h^3-3\,a^2\,b\,c^3\,g\,h^5+9\,a^2\,b\,c^2\,d\,g^2\,h^4-9\,a^2\,b\,c\,d^2\,g^3\,h^3+3\,a^2\,b\,d^3\,g^4\,h^2+3\,a\,b^2\,c^3\,g^2\,h^4-9\,a\,b^2\,c^2\,d\,g^3\,h^3+9\,a\,b^2\,c\,d^2\,g^4\,h^2-3\,a\,b^2\,d^3\,g^5\,h-b^3\,c^3\,g^3\,h^3+3\,b^3\,c^2\,d\,g^4\,h^2-3\,b^3\,c\,d^2\,g^5\,h+b^3\,d^3\,g^6\right)}-\frac{6\,A\,a^3\,c^3\,h^6+6\,A\,b^3\,d^3\,g^6-6\,A\,a^3\,d^3\,g^3\,h^3-6\,A\,b^3\,c^3\,g^3\,h^3+18\,A\,a\,b^2\,c^3\,g^2\,h^4+18\,A\,a^2\,b\,d^3\,g^4\,h^2+18\,A\,a^3\,c\,d^2\,g^2\,h^4+18\,A\,b^3\,c^2\,d\,g^4\,h^2-11\,B\,a^3\,d^3\,g^3\,h^3\,n+11\,B\,b^3\,c^3\,g^3\,h^3\,n-18\,A\,a^2\,b\,c^3\,g\,h^5-18\,A\,a\,b^2\,d^3\,g^5\,h-18\,A\,a^3\,c^2\,d\,g\,h^5-18\,A\,b^3\,c\,d^2\,g^5\,h+2\,B\,a^2\,b\,c^3\,g\,h^5\,n-26\,B\,a\,b^2\,d^3\,g^5\,h\,n-2\,B\,a^3\,c^2\,d\,g\,h^5\,n+26\,B\,b^3\,c\,d^2\,g^5\,h\,n+54\,A\,a\,b^2\,c\,d^2\,g^4\,h^2-54\,A\,a\,b^2\,c^2\,d\,g^3\,h^3-54\,A\,a^2\,b\,c\,d^2\,g^3\,h^3+54\,A\,a^2\,b\,c^2\,d\,g^2\,h^4-7\,B\,a\,b^2\,c^3\,g^2\,h^4\,n+31\,B\,a^2\,b\,d^3\,g^4\,h^2\,n+7\,B\,a^3\,c\,d^2\,g^2\,h^4\,n-31\,B\,b^3\,c^2\,d\,g^4\,h^2\,n+15\,B\,a\,b^2\,c^2\,d\,g^3\,h^3\,n-15\,B\,a^2\,b\,c\,d^2\,g^3\,h^3\,n}{6\,\left(a^3\,c^3\,h^6-3\,a^3\,c^2\,d\,g\,h^5+3\,a^3\,c\,d^2\,g^2\,h^4-a^3\,d^3\,g^3\,h^3-3\,a^2\,b\,c^3\,g\,h^5+9\,a^2\,b\,c^2\,d\,g^2\,h^4-9\,a^2\,b\,c\,d^2\,g^3\,h^3+3\,a^2\,b\,d^3\,g^4\,h^2+3\,a\,b^2\,c^3\,g^2\,h^4-9\,a\,b^2\,c^2\,d\,g^3\,h^3+9\,a\,b^2\,c\,d^2\,g^4\,h^2-3\,a\,b^2\,d^3\,g^5\,h-b^3\,c^3\,g^3\,h^3+3\,b^3\,c^2\,d\,g^4\,h^2-3\,b^3\,c\,d^2\,g^5\,h+b^3\,d^3\,g^6\right)}+\frac{x^3\,\left(B\,n\,a^3\,d^3\,h^6-3\,B\,n\,a^2\,b\,d^3\,g\,h^5+3\,B\,n\,a\,b^2\,d^3\,g^2\,h^4-B\,n\,b^3\,c^3\,h^6+3\,B\,n\,b^3\,c^2\,d\,g\,h^5-3\,B\,n\,b^3\,c\,d^2\,g^2\,h^4\right)}{a^3\,c^3\,h^6-3\,a^3\,c^2\,d\,g\,h^5+3\,a^3\,c\,d^2\,g^2\,h^4-a^3\,d^3\,g^3\,h^3-3\,a^2\,b\,c^3\,g\,h^5+9\,a^2\,b\,c^2\,d\,g^2\,h^4-9\,a^2\,b\,c\,d^2\,g^3\,h^3+3\,a^2\,b\,d^3\,g^4\,h^2+3\,a\,b^2\,c^3\,g^2\,h^4-9\,a\,b^2\,c^2\,d\,g^3\,h^3+9\,a\,b^2\,c\,d^2\,g^4\,h^2-3\,a\,b^2\,d^3\,g^5\,h-b^3\,c^3\,g^3\,h^3+3\,b^3\,c^2\,d\,g^4\,h^2-3\,b^3\,c\,d^2\,g^5\,h+b^3\,d^3\,g^6}+\frac{x^2\,\left(-B\,n\,a^3\,c\,d^2\,h^6+7\,B\,n\,a^3\,d^3\,g\,h^5+3\,B\,n\,a^2\,b\,c\,d^2\,g\,h^5-21\,B\,n\,a^2\,b\,d^3\,g^2\,h^4+B\,n\,a\,b^2\,c^3\,h^6-3\,B\,n\,a\,b^2\,c^2\,d\,g\,h^5+20\,B\,n\,a\,b^2\,d^3\,g^3\,h^3-7\,B\,n\,b^3\,c^3\,g\,h^5+21\,B\,n\,b^3\,c^2\,d\,g^2\,h^4-20\,B\,n\,b^3\,c\,d^2\,g^3\,h^3\right)}{2\,\left(a^3\,c^3\,h^6-3\,a^3\,c^2\,d\,g\,h^5+3\,a^3\,c\,d^2\,g^2\,h^4-a^3\,d^3\,g^3\,h^3-3\,a^2\,b\,c^3\,g\,h^5+9\,a^2\,b\,c^2\,d\,g^2\,h^4-9\,a^2\,b\,c\,d^2\,g^3\,h^3+3\,a^2\,b\,d^3\,g^4\,h^2+3\,a\,b^2\,c^3\,g^2\,h^4-9\,a\,b^2\,c^2\,d\,g^3\,h^3+9\,a\,b^2\,c\,d^2\,g^4\,h^2-3\,a\,b^2\,d^3\,g^5\,h-b^3\,c^3\,g^3\,h^3+3\,b^3\,c^2\,d\,g^4\,h^2-3\,b^3\,c\,d^2\,g^5\,h+b^3\,d^3\,g^6\right)}}{4\,g^4\,h+16\,g^3\,h^2\,x+24\,g^2\,h^3\,x^2+16\,g\,h^4\,x^3+4\,h^5\,x^4}+\frac{\ln\left(g+h\,x\right)\,\left(h\,\left(6\,B\,a^2\,b^2\,d^4\,g^2\,n-6\,B\,b^4\,c^2\,d^2\,g^2\,n\right)-h^2\,\left(4\,B\,a^3\,b\,d^4\,g\,n-4\,B\,b^4\,c^3\,d\,g\,n\right)+h^3\,\left(B\,a^4\,d^4\,n-B\,b^4\,c^4\,n\right)-4\,B\,a\,b^3\,d^4\,g^3\,n+4\,B\,b^4\,c\,d^3\,g^3\,n\right)}{4\,a^4\,c^4\,h^8-16\,a^4\,c^3\,d\,g\,h^7+24\,a^4\,c^2\,d^2\,g^2\,h^6-16\,a^4\,c\,d^3\,g^3\,h^5+4\,a^4\,d^4\,g^4\,h^4-16\,a^3\,b\,c^4\,g\,h^7+64\,a^3\,b\,c^3\,d\,g^2\,h^6-96\,a^3\,b\,c^2\,d^2\,g^3\,h^5+64\,a^3\,b\,c\,d^3\,g^4\,h^4-16\,a^3\,b\,d^4\,g^5\,h^3+24\,a^2\,b^2\,c^4\,g^2\,h^6-96\,a^2\,b^2\,c^3\,d\,g^3\,h^5+144\,a^2\,b^2\,c^2\,d^2\,g^4\,h^4-96\,a^2\,b^2\,c\,d^3\,g^5\,h^3+24\,a^2\,b^2\,d^4\,g^6\,h^2-16\,a\,b^3\,c^4\,g^3\,h^5+64\,a\,b^3\,c^3\,d\,g^4\,h^4-96\,a\,b^3\,c^2\,d^2\,g^5\,h^3+64\,a\,b^3\,c\,d^3\,g^6\,h^2-16\,a\,b^3\,d^4\,g^7\,h+4\,b^4\,c^4\,g^4\,h^4-16\,b^4\,c^3\,d\,g^5\,h^3+24\,b^4\,c^2\,d^2\,g^6\,h^2-16\,b^4\,c\,d^3\,g^7\,h+4\,b^4\,d^4\,g^8}-\frac{B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)}{4\,h\,\left(g^4+4\,g^3\,h\,x+6\,g^2\,h^2\,x^2+4\,g\,h^3\,x^3+h^4\,x^4\right)}+\frac{B\,b^4\,n\,\ln\left(a+b\,x\right)}{4\,a^4\,h^5-16\,a^3\,b\,g\,h^4+24\,a^2\,b^2\,g^2\,h^3-16\,a\,b^3\,g^3\,h^2+4\,b^4\,g^4\,h}-\frac{B\,d^4\,n\,\ln\left(c+d\,x\right)}{4\,c^4\,h^5-16\,c^3\,d\,g\,h^4+24\,c^2\,d^2\,g^2\,h^3-16\,c\,d^3\,g^3\,h^2+4\,d^4\,g^4\,h}","Not used",1,"((x*(13*B*a^3*d^3*g^2*h^4*n - 13*B*b^3*c^3*g^2*h^4*n - B*a^2*b*c^3*h^6*n + B*a^3*c^2*d*h^6*n + 5*B*a*b^2*c^3*g*h^5*n - 5*B*a^3*c*d^2*g*h^5*n + 34*B*a*b^2*d^3*g^4*h^2*n - 38*B*a^2*b*d^3*g^3*h^3*n - 34*B*b^3*c*d^2*g^4*h^2*n + 38*B*b^3*c^2*d*g^3*h^3*n - 12*B*a*b^2*c^2*d*g^2*h^4*n + 12*B*a^2*b*c*d^2*g^2*h^4*n))/(3*(a^3*c^3*h^6 + b^3*d^3*g^6 - a^3*d^3*g^3*h^3 - b^3*c^3*g^3*h^3 - 3*a^2*b*c^3*g*h^5 - 3*a*b^2*d^3*g^5*h - 3*a^3*c^2*d*g*h^5 - 3*b^3*c*d^2*g^5*h + 3*a*b^2*c^3*g^2*h^4 + 3*a^2*b*d^3*g^4*h^2 + 3*a^3*c*d^2*g^2*h^4 + 3*b^3*c^2*d*g^4*h^2 + 9*a*b^2*c*d^2*g^4*h^2 - 9*a*b^2*c^2*d*g^3*h^3 - 9*a^2*b*c*d^2*g^3*h^3 + 9*a^2*b*c^2*d*g^2*h^4)) - (6*A*a^3*c^3*h^6 + 6*A*b^3*d^3*g^6 - 6*A*a^3*d^3*g^3*h^3 - 6*A*b^3*c^3*g^3*h^3 + 18*A*a*b^2*c^3*g^2*h^4 + 18*A*a^2*b*d^3*g^4*h^2 + 18*A*a^3*c*d^2*g^2*h^4 + 18*A*b^3*c^2*d*g^4*h^2 - 11*B*a^3*d^3*g^3*h^3*n + 11*B*b^3*c^3*g^3*h^3*n - 18*A*a^2*b*c^3*g*h^5 - 18*A*a*b^2*d^3*g^5*h - 18*A*a^3*c^2*d*g*h^5 - 18*A*b^3*c*d^2*g^5*h + 2*B*a^2*b*c^3*g*h^5*n - 26*B*a*b^2*d^3*g^5*h*n - 2*B*a^3*c^2*d*g*h^5*n + 26*B*b^3*c*d^2*g^5*h*n + 54*A*a*b^2*c*d^2*g^4*h^2 - 54*A*a*b^2*c^2*d*g^3*h^3 - 54*A*a^2*b*c*d^2*g^3*h^3 + 54*A*a^2*b*c^2*d*g^2*h^4 - 7*B*a*b^2*c^3*g^2*h^4*n + 31*B*a^2*b*d^3*g^4*h^2*n + 7*B*a^3*c*d^2*g^2*h^4*n - 31*B*b^3*c^2*d*g^4*h^2*n + 15*B*a*b^2*c^2*d*g^3*h^3*n - 15*B*a^2*b*c*d^2*g^3*h^3*n)/(6*(a^3*c^3*h^6 + b^3*d^3*g^6 - a^3*d^3*g^3*h^3 - b^3*c^3*g^3*h^3 - 3*a^2*b*c^3*g*h^5 - 3*a*b^2*d^3*g^5*h - 3*a^3*c^2*d*g*h^5 - 3*b^3*c*d^2*g^5*h + 3*a*b^2*c^3*g^2*h^4 + 3*a^2*b*d^3*g^4*h^2 + 3*a^3*c*d^2*g^2*h^4 + 3*b^3*c^2*d*g^4*h^2 + 9*a*b^2*c*d^2*g^4*h^2 - 9*a*b^2*c^2*d*g^3*h^3 - 9*a^2*b*c*d^2*g^3*h^3 + 9*a^2*b*c^2*d*g^2*h^4)) + (x^3*(B*a^3*d^3*h^6*n - B*b^3*c^3*h^6*n - 3*B*a^2*b*d^3*g*h^5*n + 3*B*b^3*c^2*d*g*h^5*n + 3*B*a*b^2*d^3*g^2*h^4*n - 3*B*b^3*c*d^2*g^2*h^4*n))/(a^3*c^3*h^6 + b^3*d^3*g^6 - a^3*d^3*g^3*h^3 - b^3*c^3*g^3*h^3 - 3*a^2*b*c^3*g*h^5 - 3*a*b^2*d^3*g^5*h - 3*a^3*c^2*d*g*h^5 - 3*b^3*c*d^2*g^5*h + 3*a*b^2*c^3*g^2*h^4 + 3*a^2*b*d^3*g^4*h^2 + 3*a^3*c*d^2*g^2*h^4 + 3*b^3*c^2*d*g^4*h^2 + 9*a*b^2*c*d^2*g^4*h^2 - 9*a*b^2*c^2*d*g^3*h^3 - 9*a^2*b*c*d^2*g^3*h^3 + 9*a^2*b*c^2*d*g^2*h^4) + (x^2*(B*a*b^2*c^3*h^6*n - B*a^3*c*d^2*h^6*n + 7*B*a^3*d^3*g*h^5*n - 7*B*b^3*c^3*g*h^5*n + 20*B*a*b^2*d^3*g^3*h^3*n - 21*B*a^2*b*d^3*g^2*h^4*n - 20*B*b^3*c*d^2*g^3*h^3*n + 21*B*b^3*c^2*d*g^2*h^4*n - 3*B*a*b^2*c^2*d*g*h^5*n + 3*B*a^2*b*c*d^2*g*h^5*n))/(2*(a^3*c^3*h^6 + b^3*d^3*g^6 - a^3*d^3*g^3*h^3 - b^3*c^3*g^3*h^3 - 3*a^2*b*c^3*g*h^5 - 3*a*b^2*d^3*g^5*h - 3*a^3*c^2*d*g*h^5 - 3*b^3*c*d^2*g^5*h + 3*a*b^2*c^3*g^2*h^4 + 3*a^2*b*d^3*g^4*h^2 + 3*a^3*c*d^2*g^2*h^4 + 3*b^3*c^2*d*g^4*h^2 + 9*a*b^2*c*d^2*g^4*h^2 - 9*a*b^2*c^2*d*g^3*h^3 - 9*a^2*b*c*d^2*g^3*h^3 + 9*a^2*b*c^2*d*g^2*h^4)))/(4*g^4*h + 4*h^5*x^4 + 16*g^3*h^2*x + 16*g*h^4*x^3 + 24*g^2*h^3*x^2) + (log(g + h*x)*(h*(6*B*a^2*b^2*d^4*g^2*n - 6*B*b^4*c^2*d^2*g^2*n) - h^2*(4*B*a^3*b*d^4*g*n - 4*B*b^4*c^3*d*g*n) + h^3*(B*a^4*d^4*n - B*b^4*c^4*n) - 4*B*a*b^3*d^4*g^3*n + 4*B*b^4*c*d^3*g^3*n))/(4*a^4*c^4*h^8 + 4*b^4*d^4*g^8 + 4*a^4*d^4*g^4*h^4 + 4*b^4*c^4*g^4*h^4 + 24*a^2*b^2*c^4*g^2*h^6 + 24*a^2*b^2*d^4*g^6*h^2 + 24*a^4*c^2*d^2*g^2*h^6 + 24*b^4*c^2*d^2*g^6*h^2 - 16*a^3*b*c^4*g*h^7 - 16*a*b^3*d^4*g^7*h - 16*a^4*c^3*d*g*h^7 - 16*b^4*c*d^3*g^7*h - 16*a*b^3*c^4*g^3*h^5 - 16*a^3*b*d^4*g^5*h^3 - 16*a^4*c*d^3*g^3*h^5 - 16*b^4*c^3*d*g^5*h^3 + 64*a*b^3*c*d^3*g^6*h^2 + 64*a*b^3*c^3*d*g^4*h^4 + 64*a^3*b*c*d^3*g^4*h^4 + 64*a^3*b*c^3*d*g^2*h^6 - 96*a*b^3*c^2*d^2*g^5*h^3 - 96*a^2*b^2*c*d^3*g^5*h^3 - 96*a^2*b^2*c^3*d*g^3*h^5 - 96*a^3*b*c^2*d^2*g^3*h^5 + 144*a^2*b^2*c^2*d^2*g^4*h^4) - (B*log((e*(a + b*x)^n)/(c + d*x)^n))/(4*h*(g^4 + h^4*x^4 + 4*g^3*h*x + 4*g*h^3*x^3 + 6*g^2*h^2*x^2)) + (B*b^4*n*log(a + b*x))/(4*a^4*h^5 + 4*b^4*g^4*h - 16*a*b^3*g^3*h^2 + 24*a^2*b^2*g^2*h^3 - 16*a^3*b*g*h^4) - (B*d^4*n*log(c + d*x))/(4*c^4*h^5 + 4*d^4*g^4*h - 16*c*d^3*g^3*h^2 + 24*c^2*d^2*g^2*h^3 - 16*c^3*d*g*h^4)","B"
303,0,-1,570,0.000000,"\text{Not used}","int((g + h*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2,x)","\int {\left(g+h\,x\right)}^2\,{\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",1,"int((g + h*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2, x)","F"
304,0,-1,294,0.000000,"\text{Not used}","int((g + h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2,x)","\int \left(g+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",1,"int((g + h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2, x)","F"
305,0,-1,137,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2,x)","\int {\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",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2, x)","F"
306,0,-1,301,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(g + 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}{g+h\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(g + h*x), x)","F"
307,0,-1,208,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(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}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(g + h*x)^2, x)","F"
308,0,-1,393,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(g + h*x)^3,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(g+h\,x\right)}^3} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^2/(g + h*x)^3, x)","F"
309,0,-1,875,0.000000,"\text{Not used}","int((g + h*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3,x)","\int {\left(g+h\,x\right)}^2\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3 \,d x","Not used",1,"int((g + h*x)^2*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3, x)","F"
310,0,-1,466,0.000000,"\text{Not used}","int((g + h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3,x)","\int \left(g+h\,x\right)\,{\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3 \,d x","Not used",1,"int((g + h*x)*(A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3, x)","F"
311,0,-1,203,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3,x)","\int {\left(A+B\,\ln\left(\frac{e\,{\left(a+b\,x\right)}^n}{{\left(c+d\,x\right)}^n}\right)\right)}^3 \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3, x)","F"
312,0,-1,425,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(g + 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}{g+h\,x} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(g + h*x), x)","F"
313,0,-1,302,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(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}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(g + h*x)^2, x)","F"
314,0,-1,629,0.000000,"\text{Not used}","int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(g + h*x)^3,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(g+h\,x\right)}^3} \,d x","Not used",1,"int((A + B*log((e*(a + b*x)^n)/(c + d*x)^n))^3/(g + h*x)^3, x)","F"