1,0,0,176,0.333000," ","int((b*g*x+a*g)^4*(A+B*ln(e*((b*x+a)/(d*x+c))^n)),x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^4*(A+B*ln(e*((b*x+a)/(d*x+c))^n)),x)","F"
2,0,0,146,0.265000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
3,0,0,116,0.267000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
4,0,0,80,0.175000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
5,0,0,83,0.365000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{b g x +a g}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","F"
6,0,0,67,0.286000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","F"
7,0,0,144,0.281000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","F"
8,0,0,174,0.288000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","F"
9,0,0,204,0.280000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","F"
10,0,0,382,0.273000," ","int((b*g*x+a*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
11,0,0,323,0.286000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
12,0,0,264,0.275000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
13,0,0,194,0.115000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
14,0,0,138,0.286000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","F"
15,0,0,136,0.271000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","F"
16,0,0,282,0.284000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","F"
17,0,0,440,0.281000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","F"
18,0,0,599,0.279000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","F"
19,0,0,37,0.263000," ","int((b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{\left(b g x +a g \right)^{2}}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
20,0,0,35,0.154000," ","int((b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{b g x +a g}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
21,0,0,37,0.369000," ","int(1/(b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
22,0,0,95,0.290000," ","int(1/(b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
23,0,0,197,0.286000," ","int(1/(b*g*x+a*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
24,0,0,37,0.261000," ","int((b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{2}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
25,0,0,35,0.068000," ","int((b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{b g x +a g}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
26,0,0,37,0.281000," ","int(1/(b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
27,0,0,156,0.283000," ","int(1/(b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
28,0,0,314,0.286000," ","int(1/(b*g*x+a*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
29,0,0,176,0.297000," ","int((d*g*x+c*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d g x +c g \right)^{4} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*g*x+c*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
30,0,0,146,0.274000," ","int((d*g*x+c*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d g x +c g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*g*x+c*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
31,0,0,116,0.272000," ","int((d*g*x+c*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d g x +c g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*g*x+c*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
32,0,0,80,0.176000," ","int((d*g*x+c*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d g x +c g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*g*x+c*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
33,0,0,80,0.372000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{d g x +c g}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g),x)","F"
34,0,0,102,0.292000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d g x +c g \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^2,x)","F"
35,0,0,144,0.285000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d g x +c g \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^3,x)","F"
36,0,0,174,0.279000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^4,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d g x +c g \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^4,x)","F"
37,0,0,204,0.298000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^5,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d g x +c g \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*g*x+c*g)^5,x)","F"
38,0,0,520,0.277000," ","int((d*g*x+c*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d g x +c g \right)^{4} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*g*x+c*g)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
39,0,0,434,0.272000," ","int((d*g*x+c*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d g x +c g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*g*x+c*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
40,0,0,347,0.265000," ","int((d*g*x+c*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d g x +c g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*g*x+c*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
41,0,0,218,0.110000," ","int((d*g*x+c*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d g x +c g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*g*x+c*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
42,0,0,137,0.300000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{d g x +c g}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g),x)","F"
43,0,0,163,0.282000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d g x +c g \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^2,x)","F"
44,0,0,311,0.280000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d g x +c g \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^3,x)","F"
45,0,0,417,0.285000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^4,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d g x +c g \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^4,x)","F"
46,0,0,518,0.285000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^5,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d g x +c g \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*g*x+c*g)^5,x)","F"
47,0,0,37,0.265000," ","int((d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{\left(d g x +c g \right)^{2}}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
48,0,0,35,0.152000," ","int((d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{d g x +c g}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
49,0,0,37,0.385000," ","int(1/(d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(d g x +c g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
50,0,0,96,0.283000," ","int(1/(d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(d g x +c g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
51,0,0,202,0.284000," ","int(1/(d*g*x+c*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(d g x +c g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(d*g*x+c*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
52,0,0,37,0.264000," ","int((d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{\left(d g x +c g \right)^{2}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
53,0,0,35,0.063000," ","int((d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{d g x +c g}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
54,0,0,37,0.304000," ","int(1/(d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(d g x +c g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(d*g*x+c*g)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
55,0,0,156,0.289000," ","int(1/(d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(d g x +c g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(d*g*x+c*g)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
56,0,0,261,0.288000," ","int(1/(d*g*x+c*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(d g x +c g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(d*g*x+c*g)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
57,0,0,350,0.342000," ","int((g*x+f)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(g x +f \right)^{4} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((g*x+f)^4*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
58,0,0,223,0.262000," ","int((g*x+f)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(g x +f \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((g*x+f)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
59,0,0,147,0.269000," ","int((g*x+f)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(g x +f \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((g*x+f)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
60,0,0,107,0.178000," ","int((g*x+f)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(g x +f \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((g*x+f)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
61,1,122,56,0.050000," ","int(B*ln(e*((b*x+a)/(d*x+c))^n)+A,x)","\frac{B \,a^{2} d n \ln \left(b x +a \right)}{\left(a d -b c \right) b}-\frac{B a c n \ln \left(b x +a \right)}{a d -b c}-\frac{B a c n \ln \left(d x +c \right)}{a d -b c}+\frac{B b \,c^{2} n \ln \left(d x +c \right)}{\left(a d -b c \right) d}+B x \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A x"," ",0,"A*x+B*x*ln(e*((b*x+a)/(d*x+c))^n)-B*n*c/(a*d-b*c)*ln(d*x+c)*a+B*n*c^2/(a*d-b*c)/d*ln(d*x+c)*b+B*n*a^2/(a*d-b*c)/b*ln(b*x+a)*d-B*n*a/(a*d-b*c)*ln(b*x+a)*c","B"
62,0,0,147,0.391000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{g x +f}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f),x)","F"
63,0,0,91,0.288000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^2,x)","F"
64,0,0,183,0.280000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^3,x)","F"
65,0,0,274,0.285000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^4,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(g x +f \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^4,x)","F"
66,0,0,377,0.292000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^5,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(g x +f \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(g*x+f)^5,x)","F"
67,0,0,893,0.277000," ","int((g*x+f)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(g x +f \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
68,0,0,545,0.281000," ","int((g*x+f)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(g x +f \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
69,0,0,286,0.112000," ","int((g*x+f)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(g x +f \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
70,0,0,135,0.146000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
71,0,0,297,0.309000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{g x +f}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f),x)","F"
72,0,0,206,0.286000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^2,x)","F"
73,0,0,385,0.287000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^3,x)","F"
74,0,0,727,0.278000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^4,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(g x +f \right)^{4}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^4,x)","F"
75,0,0,1178,0.290000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^5,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(g x +f \right)^{5}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(g*x+f)^5,x)","F"
76,0,0,34,0.261000," ","int((g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{\left(g x +f \right)^{2}}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
77,0,0,32,0.148000," ","int((g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{g x +f}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
78,0,0,26,0.121000," ","int(1/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int(1/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
79,0,0,34,0.385000," ","int(1/(g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
80,0,0,34,0.287000," ","int(1/(g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
81,0,0,34,0.293000," ","int(1/(g*x+f)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
82,0,0,34,0.268000," ","int((g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{\left(g x +f \right)^{2}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
83,0,0,32,0.059000," ","int((g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{g x +f}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
84,0,0,26,0.141000," ","int(1/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
85,0,0,34,0.305000," ","int(1/(g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
86,0,0,34,0.285000," ","int(1/(g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
87,0,0,34,0.288000," ","int(1/(g*x+f)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
88,1,8417,168,0.185000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\text{output too large to display}"," ",0,"result too large to display","B"
89,1,5556,139,0.164000," ","int((b*g*x+a*g)^3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\text{output too large to display}"," ",0,"result too large to display","B"
90,1,3283,110,0.149000," ","int((b*g*x+a*g)^2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\text{output too large to display}"," ",0,"e*A*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^3+2/3*e*B*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^3-1/d^3*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c^3-1/d^3*e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*b^4*c^3-1/3/d^3*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*b^5*c^3-4*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^3/(d*x+c)*c+1/2/d^2*e^2*B*g^2*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a*c^2+1/d^2*e^3*A*g^2*b^4/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a*c^2-3/d*e*A*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2*b*c-2/d*e*B*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2*b*c+3/d^2*e^2*A*g^2*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a*c^2-3/d*e^2*A*g^2*b^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2*c-1/d*e^3*A*g^2*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^2*c-1/3/d^3*e^3*A*g^2*b^5/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*c^3-2/3/d^3*e*B*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b^3*c^3-1/d^3*e*A*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b^3*c^3-1/6/d^3*e^2*B*g^2*b^4/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^3-1/d^2*B*g^2*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*a*c^2*b+e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^3*b+1/3*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^3*b^2-1/3*B*g^2/b*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*a^3+1/6*e^2*B*g^2*b/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^3+1/3*e^3*A*g^2*b^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^3+e^2*A*g^2*b/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^3+1/d*B*g^2*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*a^2*c+e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^3+1/3/d^3*B*g^2*b^2*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*c^3+2/d^2*e*B*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a*b^2*c^2-1/2/d*e^2*B*g^2*b^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2*c+3/d^2*e*A*g^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b^2*c^2*a-1/d^3*e^2*A*g^2*b^4/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^3+5*d*e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^4/(d*x+c)^2*c-2*d^2*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^5/(d*x+c)^3*c+6/d*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2/(d*x+c)*c^2*b-5/d^2*e^2*B*g^2*b^3*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^4/(d*x+c)^2*a-4/d^2*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))*b^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c^3/(d*x+c)*a+5/d*e^3*B*g^2*b^3*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*c^4/(d*x+c)^3*a^2-2/d^2*e^3*B*g^2*b^4*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*c^5/(d*x+c)^3*a+3/d^2*e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*b^3*c^2*a+1/d^2*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*b^4*c^2*a-3/d*e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2*b^2*c-1/d*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^2*b^3*c-d^2*e^2*B*g^2/b*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^5/(d*x+c)^2+1/d^3*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c^4/(d*x+c)-20/3*e^3*B*g^2*b^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*c^3/(d*x+c)^3*a^3-10*e^2*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^3/(d*x+c)^2*c^2*b-3/d*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2*c*b+3/d^2*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a*c^2*b^2+d*e*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/b/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^4/(d*x+c)+1/3*d^3*e^3*B*g^2/b*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^6/(d*x+c)^3+1/d^3*e^2*B*g^2*b^4*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^5/(d*x+c)^2+1/3/d^3*e^3*B*g^2*b^5*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*c^6/(d*x+c)^3+10/d*e^2*B*g^2*b^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2/(d*x+c)^2*c^3+5*d*e^3*B*g^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^3*a^4/(d*x+c)^3*c^2*b","B"
91,1,1544,75,0.134000," ","int((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","-\frac{B b \,c^{2} g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d^{2}}+\frac{B a c g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d}+\frac{A \,a^{2} b \,e^{2} g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B \,a^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}-\frac{B \,a^{2} g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b}+\frac{A \,a^{2} e g}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}-\frac{2 A a b c e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B \,a^{2} e g}{\frac{2 a d e}{d x +c}-\frac{2 b c e}{d x +c}}+\frac{B \,b^{2} c^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}+\frac{A \,b^{3} c^{2} e^{2} g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}+\frac{A \,b^{2} c^{2} e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}+\frac{B \,b^{2} c^{2} e g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}+\frac{B \,a^{2} b \,e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B \,b^{3} c^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}-\frac{3 B \,a^{2} c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right)}-\frac{B a b c e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}-\frac{A a \,b^{2} c \,e^{2} g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{2 B a \,b^{2} c^{3} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d}+\frac{3 B a b \,c^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d}-\frac{3 B \,a^{2} b \,c^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}-\frac{B \,a^{4} d^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b}-\frac{B \,b^{3} c^{4} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d^{2}}-\frac{2 B a b c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}-\frac{B a \,b^{2} c \,e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}-\frac{B \,b^{2} c^{3} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2}}+\frac{B \,a^{3} d e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b}+\frac{2 B \,a^{3} c d \,e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}"," ",0,"-1/2/d^2*B*g*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*c^2*b+1/d*B*g*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*c*a+1/2*e^2*A*g*b/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2+e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2+1/2*e*B*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2-1/2*B*g/b*ln((b*e/d+(a*d-b*c)*e/d/(d*x+c))*d-b*e)*a^2+e*A*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2-2/d*e*A*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b*c*a+1/d^2*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c^2*b^2+1/2/d^2*e^2*A*g*b^3/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^2+1/d^2*e*A*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b^2*c^2+1/2/d^2*e*B*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*b^2*c^2+1/2*e^2*B*g*b*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2+1/2/d^2*e^2*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^2*b^3-3*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^2/(d*x+c)*c-1/d*e*B*g/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a*b*c-1/d*e^2*A*g*b^2/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a*c+2/d*e^2*B*g*b^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a/(d*x+c)^2*c^3+3/d*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a/(d*x+c)*c^2*b-3*e^2*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^2/(d*x+c)^2*c^2*b-1/2*d^2*e^2*B*g/b*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^4/(d*x+c)^2-1/2/d^2*e^2*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*c^4/(d*x+c)^2*b^3-2/d*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c*b*a-1/d*e^2*B*g*b^2*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a*c-1/d^2*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*c^3/(d*x+c)*b^2+d*e*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/b/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)*a^3/(d*x+c)+2*d*e^2*B*g*ln(b*e/d+(a*d-b*c)*e/d/(d*x+c))/(d*e/(d*x+c)*a-e/(d*x+c)*b*c)^2*a^3/(d*x+c)^2*c","B"
92,1,602,79,0.086000," ","int((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x)","-\frac{B a d \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b g}+\frac{B a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b g}+\frac{B c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{B c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) g}-\frac{A a d \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b g}+\frac{A a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b g}+\frac{A c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}-\frac{A c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{B a d \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b g}+\frac{B c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}"," ",0,"-d/g/(a*d-b*c)*A/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/g/(a*d-b*c)*A*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+d/g/(a*d-b*c)*A/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/g/(a*d-b*c)*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d/g/(a*d-b*c)*B/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/g/(a*d-b*c)*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-d/g/(a*d-b*c)*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/g/(a*d-b*c)*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+1/2*d/g/(a*d-b*c)*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*a-1/2/g/(a*d-b*c)*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
93,1,373,63,0.046000," ","int((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x)","\frac{B a d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{B b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{A a d e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{A b c e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{B a d e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{B b c e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}"," ",0,"d*e/(a*d-b*c)^2/g^2*A/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*a-e/(a*d-b*c)^2/g^2*A/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*b*c+d*e/(a*d-b*c)^2/g^2*B/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-e/(a*d-b*c)^2/g^2*B/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+d*e/(a*d-b*c)^2/g^2*B/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*a-e/(a*d-b*c)^2/g^2*B/(b/d*e+e/(d*x+c)*a-e/d/(d*x+c)*b*c)*b*c","B"
94,1,777,137,0.049000," ","int((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x)","-\frac{B a b d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B \,b^{2} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A a b d \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A \,b^{2} c \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B a b d \,e^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B a \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{B \,b^{2} c \,e^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B b c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{A a \,d^{2} e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{A b c d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{B a \,d^{2} e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{B b c d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}"," ",0,"d^2*e/(a*d-b*c)^3/g^3*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d*e/(a*d-b*c)^3/g^3*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-1/2*d*e^2/(a*d-b*c)^3/g^3*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*e^2/(a*d-b*c)^3/g^3*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2*e/(a*d-b*c)^3/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d*e/(a*d-b*c)^3/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+d^2*e/(a*d-b*c)^3/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d*e/(a*d-b*c)^3/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-1/2*d*e^2/(a*d-b*c)^3/g^3*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*e^2/(a*d-b*c)^3/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/4*d*e^2/(a*d-b*c)^3/g^3*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/4*e^2/(a*d-b*c)^3/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c","B"
95,1,1191,166,0.049000," ","int((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x)","\frac{B a \,b^{2} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B \,b^{3} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A a \,b^{2} d \,e^{3}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A \,b^{3} c \,e^{3}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B a \,b^{2} d \,e^{3}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B a b \,d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B \,b^{3} c \,e^{3}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B \,b^{2} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A a b \,d^{2} e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A \,b^{2} c d \,e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B a b \,d^{2} e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{B a \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{B \,b^{2} c d \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B b c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{A a \,d^{3} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{A b c \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{B a \,d^{3} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{B b c \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}"," ",0,"d^3*e/(a*d-b*c)^4/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d^2*e/(a*d-b*c)^4/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-d^2*e^2/(a*d-b*c)^4/g^4*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+d*e^2/(a*d-b*c)^4/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+1/3*d*e^3/(a*d-b*c)^4/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*e^3/(a*d-b*c)^4/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+d^3*e/(a*d-b*c)^4/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^2*e/(a*d-b*c)^4/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+d^3*e/(a*d-b*c)^4/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d^2*e/(a*d-b*c)^4/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-d^2*e^2/(a*d-b*c)^4/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d*e^2/(a*d-b*c)^4/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2*d^2*e^2/(a*d-b*c)^4/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*d*e^2/(a*d-b*c)^4/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+1/3*d*e^3/(a*d-b*c)^4/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*e^3/(a*d-b*c)^4/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/9*d*e^3/(a*d-b*c)^4/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/9*e^3/(a*d-b*c)^4/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c","B"
96,1,1607,195,0.049000," ","int((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x)","-\frac{B a \,b^{3} d \,e^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B \,b^{4} c \,e^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A a \,b^{3} d \,e^{4}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A \,b^{4} c \,e^{4}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B a \,b^{3} d \,e^{4}}{16 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B a \,b^{2} d^{2} e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B \,b^{4} c \,e^{4}}{16 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B \,b^{3} c d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A a \,b^{2} d^{2} e^{3}}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A \,b^{3} c d \,e^{3}}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B a \,b^{2} d^{2} e^{3}}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{3 B a b \,d^{3} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{B \,b^{3} c d \,e^{3}}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{3 B \,b^{2} c \,d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{3 A a b \,d^{3} e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{3 A \,b^{2} c \,d^{2} e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{3 B a b \,d^{3} e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{B a \,d^{4} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}+\frac{3 B \,b^{2} c \,d^{2} e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{B b c \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}+\frac{A a \,d^{4} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}-\frac{A b c \,d^{3} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}+\frac{B a \,d^{4} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}-\frac{B b c \,d^{3} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{5}}"," ",0,"d^4*e/(a*d-b*c)^5/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d^3*e/(a*d-b*c)^5/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-3/2*d^3*e^2/(a*d-b*c)^5/g^5*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+3/2*d^2*e^2/(a*d-b*c)^5/g^5*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2*e^3/(a*d-b*c)^5/g^5*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-d*e^3/(a*d-b*c)^5/g^5*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/4*d*e^4/(a*d-b*c)^5/g^5*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/4*e^4/(a*d-b*c)^5/g^5*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+d^4*e/(a*d-b*c)^5/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^3*e/(a*d-b*c)^5/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+d^4*e/(a*d-b*c)^5/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d^3*e/(a*d-b*c)^5/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-3/2*d^3*e^2/(a*d-b*c)^5/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3/2*d^2*e^2/(a*d-b*c)^5/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3/4*d^3*e^2/(a*d-b*c)^5/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+3/4*d^2*e^2/(a*d-b*c)^5/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2*e^3/(a*d-b*c)^5/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d*e^3/(a*d-b*c)^5/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/3*d^2*e^3/(a*d-b*c)^5/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*d*e^3/(a*d-b*c)^5/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/4*d*e^4/(a*d-b*c)^5/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/4*e^4/(a*d-b*c)^5/g^5*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/16*d*e^4/(a*d-b*c)^5/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/16*e^4/(a*d-b*c)^5/g^5*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c","B"
97,0,0,351,2.566000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)/(d*x+c)))^2,x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)/(d*x+c)))^2,x)","F"
98,0,0,297,2.177000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
99,0,0,243,1.901000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
100,0,0,178,1.622000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
101,1,1186,128,0.065000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","-\frac{B^{2} a d \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) b g}+\frac{B^{2} a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right) b g}+\frac{B^{2} c \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}-\frac{B^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right) g}-\frac{2 A B a d \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b g}+\frac{A B a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) b g}+\frac{2 A B c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{A B c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}-\frac{2 B^{2} a d \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b g}+\frac{2 B^{2} c \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{A^{2} a d \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b g}+\frac{A^{2} a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b g}+\frac{A^{2} c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}-\frac{A^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{2 A B a d \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b g}+\frac{2 A B c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} a d \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b g}-\frac{2 B^{2} c \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}"," ",0,"-d/g/(a*d-b*c)*A^2/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/g/(a*d-b*c)*A^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+d/g/(a*d-b*c)*A^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/g/(a*d-b*c)*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d/g/(a*d-b*c)*B^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(1-1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a+1/g/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(1-1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*c-2*d/g/(a*d-b*c)*B^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a+2/g/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*c+2*d/g/(a*d-b*c)*B^2/b*polylog(3,1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a-2/g/(a*d-b*c)*B^2*polylog(3,1/b/e*d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*c+1/3*d/g/(a*d-b*c)*B^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a-1/3/g/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c-2*d/g/(a*d-b*c)*A*B/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2/g/(a*d-b*c)*A*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-2*d/g/(a*d-b*c)*A*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2/g/(a*d-b*c)*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+d/g/(a*d-b*c)*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*a-1/g/(a*d-b*c)*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
102,1,828,126,0.046000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","\frac{B^{2} a d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{B^{2} b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{2 A B a d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{2 A B b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{2 B^{2} a d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{2 B^{2} b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{A^{2} a d e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{A^{2} b c e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{2 A B a d e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{2 A B b c e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}+\frac{2 B^{2} a d e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{2 B^{2} b c e}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}"," ",0,"d*e/(a*d-b*c)^2/g^2*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-e/(a*d-b*c)^2/g^2*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+2*d*e/(a*d-b*c)^2/g^2*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*e/(a*d-b*c)^2/g^2*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2*d*e/(a*d-b*c)^2/g^2*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*e/(a*d-b*c)^2/g^2*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+d*e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+2*d*e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2*d*e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*e/(a*d-b*c)^2/g^2*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c","B"
103,1,1715,262,0.048000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","-\frac{B^{2} a b d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B^{2} b^{2} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A B a b d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A B \,b^{2} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B^{2} a b d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B^{2} a \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{B^{2} b^{2} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B^{2} b c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{A^{2} a b d \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A^{2} b^{2} c \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A B a b d \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{2 A B a \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{A B \,b^{2} c \,e^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{2 A B b c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{B^{2} a b d \,e^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{2 B^{2} a \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{B^{2} b^{2} c \,e^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{2 B^{2} b c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{A^{2} a \,d^{2} e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{A^{2} b c d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{2 A B a \,d^{2} e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{2 A B b c d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}+\frac{2 B^{2} a \,d^{2} e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}-\frac{2 B^{2} b c d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3}}"," ",0,"d^2*e/(a*d-b*c)^3/g^3*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d*e/(a*d-b*c)^3/g^3*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-1/2*d*e^2/(a*d-b*c)^3/g^3*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*e^2/(a*d-b*c)^3/g^3*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2*d^2*e/(a*d-b*c)^3/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d*e/(a*d-b*c)^3/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2*d^2*e/(a*d-b*c)^3/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d*e/(a*d-b*c)^3/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-d*e^2/(a*d-b*c)^3/g^3*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+e^2/(a*d-b*c)^3/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2*d*e^2/(a*d-b*c)^3/g^3*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*e^2/(a*d-b*c)^3/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-d*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+2*d^2*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2*d^2*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d*e/(a*d-b*c)^3/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-1/2*d*e^2/(a*d-b*c)^3/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*e^2/(a*d-b*c)^3/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/2*d*e^2/(a*d-b*c)^3/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*e^2/(a*d-b*c)^3/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/4*d*e^2/(a*d-b*c)^3/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/4*e^2/(a*d-b*c)^3/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c","B"
104,1,2624,410,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4,x)","\frac{B^{2} a \,b^{2} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} b^{3} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B a \,b^{2} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B \,b^{3} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 B^{2} a \,b^{2} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} a b \,d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{2 B^{2} b^{3} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B^{2} b^{2} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A^{2} a \,b^{2} d \,e^{3}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A^{2} b^{3} c \,e^{3}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B a \,b^{2} d \,e^{3}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B a b \,d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{2 A B \,b^{3} c \,e^{3}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B \,b^{2} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 B^{2} a \,b^{2} d \,e^{3}}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} a b \,d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{B^{2} a \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{2 B^{2} b^{3} c \,e^{3}}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B^{2} b^{2} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B^{2} b c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{A^{2} a b \,d^{2} e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A^{2} b^{2} c d \,e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A B a b \,d^{2} e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 A B a \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{A B \,b^{2} c d \,e^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{2 A B b c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{B^{2} a b \,d^{2} e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 B^{2} a \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{B^{2} b^{2} c d \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{2 B^{2} b c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{A^{2} a \,d^{3} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{A^{2} b c \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{2 A B a \,d^{3} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{2 A B b c \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}+\frac{2 B^{2} a \,d^{3} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}-\frac{2 B^{2} b c \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4}}"," ",0,"-1/3*e^3/(a*d-b*c)^4/g^4*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-2/27*e^3/(a*d-b*c)^4/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+2*d^3*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d^3*e/(a*d-b*c)^4/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d*e^2/(a*d-b*c)^4/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+1/3*d*e^3/(a*d-b*c)^4/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/2*d^2*e^2/(a*d-b*c)^4/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+2*d^3*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*e^3/(a*d-b*c)^4/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+1/2*d*e^2/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2/27*d*e^3/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+d^3*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-d^2*e/(a*d-b*c)^4/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+2*d^3*e/(a*d-b*c)^4/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d^2*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-d^2*e^2/(a*d-b*c)^4/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-2*d^2*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d^2*e^2/(a*d-b*c)^4/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d*e^2/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/9*e^3/(a*d-b*c)^4/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2*e^2/(a*d-b*c)^4/g^4*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-2/9*e^3/(a*d-b*c)^4/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-2*d^2*e^2/(a*d-b*c)^4/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d^2*e/(a*d-b*c)^4/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2/3*d*e^3/(a*d-b*c)^4/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d*e^2/(a*d-b*c)^4/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2*e/(a*d-b*c)^4/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-2/3*e^3/(a*d-b*c)^4/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/3*d*e^3/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2/9*d*e^3/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^2*e^2/(a*d-b*c)^4/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+d*e^2/(a*d-b*c)^4/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2/9*d*e^3/(a*d-b*c)^4/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2*d^2*e/(a*d-b*c)^4/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+2*d^3*e/(a*d-b*c)^4/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d*e^2/(a*d-b*c)^4/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
105,1,3538,559,0.051000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^5,x)","\text{output too large to display}"," ",0,"-3/2*d^3*e^2/(a*d-b*c)^5/g^5*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+3/2*d^2*e^2/(a*d-b*c)^5/g^5*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-2*d^3*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c-d^3*e/(a*d-b*c)^5/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+2*d^4*e/(a*d-b*c)^5/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^4*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^4*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/4*e^4/(a*d-b*c)^5/g^5*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+1/8*e^4/(a*d-b*c)^5/g^5*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d^2*e^3/(a*d-b*c)^5/g^5*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-d*e^3/(a*d-b*c)^5/g^5*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+3/4*d^2*e^2/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2/9*d^2*e^3/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-3/4*d^3*e^2/(a*d-b*c)^5/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*d*e^4/(a*d-b*c)^5/g^5*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-2/9*d*e^3/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/32*d*e^4/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/8*e^4/(a*d-b*c)^5/g^5*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/4*e^4/(a*d-b*c)^5/g^5*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/32*e^4/(a*d-b*c)^5/g^5*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+d^4*e/(a*d-b*c)^5/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^4*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-3*d^3*e^2/(a*d-b*c)^5/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^4/(a*d-b*c)^5/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3*d^2*e^2/(a*d-b*c)^5/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d^2*e^3/(a*d-b*c)^5/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d*e^3/(a*d-b*c)^5/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2*d^3*e/(a*d-b*c)^5/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-1/8*d*e^4/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d^4*e/(a*d-b*c)^5/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^3*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-2*d^3*e/(a*d-b*c)^5/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-2*d^3*e/(a*d-b*c)^5/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*b*c+3/2*d^2*e^2/(a*d-b*c)^5/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2/3*d^2*e^3/(a*d-b*c)^5/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/3*d*e^3/(a*d-b*c)^5/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/8*d*e^4/(a*d-b*c)^5/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-3/2*d^3*e^2/(a*d-b*c)^5/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3/2*d^3*e^2/(a*d-b*c)^5/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3/2*d^2*e^2/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+3/2*d^2*e^2/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-3/2*d^3*e^2/(a*d-b*c)^5/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+d^2*e^3/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2/3*d^2*e^3/(a*d-b*c)^5/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/3*d*e^3/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/4*d*e^4/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*e^4/(a*d-b*c)^5/g^5*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e^3/(a*d-b*c)^5/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
106,1,30,28,0.047000," ","int(ln(d*(b*x+a)/b/(d*x+c))/(d*f*x+c*f),x)","\frac{\dilog \left(\frac{a d -b c}{\left(d x +c \right) b}+1\right)}{d f}"," ",0,"1/d*dilog(1+(a*d-b*c)/b/(d*x+c))/f","A"
107,1,15,15,0.041000," ","int(ln(1+1/(b*x+a))/(b*x+a),x)","\frac{\dilog \left(1+\frac{1}{b x +a}\right)}{b}"," ",0,"1/b*dilog(1+1/(b*x+a))","A"
108,1,17,13,0.043000," ","int(ln(1-1/(b*x+a))/(b*x+a),x)","\frac{\dilog \left(1-\frac{1}{b x +a}\right)}{b}"," ",0,"1/b*dilog(1-1/(b*x+a))","A"
109,0,0,34,1.148000," ","int((b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{\left(b g x +a g \right)^{2}}{B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
110,0,0,32,1.015000," ","int((b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{b g x +a g}{B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
111,0,0,34,1.180000," ","int(1/(b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
112,0,0,51,1.260000," ","int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
113,0,0,107,1.321000," ","int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
114,0,0,34,1.090000," ","int((b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{2}}{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
115,0,0,32,1.085000," ","int((b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{b g x +a g}{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
116,0,0,34,0.995000," ","int(1/(b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
117,0,0,106,1.338000," ","int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
118,0,0,212,1.506000," ","int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
119,1,1606,170,0.191000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2)),x)","\frac{B \,b^{4} g^{4} x^{5} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{5}+\frac{A \,b^{4} g^{4} x^{5}}{5}+B a \,b^{3} g^{4} x^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A a \,b^{3} g^{4} x^{4}+2 B \,a^{2} b^{2} g^{4} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{B a \,b^{3} g^{4} x^{4}}{10}-\frac{B \,b^{4} c \,g^{4} x^{4}}{10 d}+2 A \,a^{2} b^{2} g^{4} x^{3}+\frac{2 B \,a^{6} d \,g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{12 B \,a^{5} c \,g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{30 B \,a^{4} b \,c^{2} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{40 B \,a^{3} b^{2} c^{3} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+2 B \,a^{3} b \,g^{4} x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{30 B \,a^{2} b^{3} c^{4} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}+\frac{8 B \,a^{2} b^{2} g^{4} x^{3}}{15}-\frac{12 B a \,b^{4} c^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{4}}-\frac{2 B a \,b^{3} c \,g^{4} x^{3}}{3 d}+\frac{2 B \,b^{5} c^{6} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{5}}+\frac{2 B \,b^{4} c^{2} g^{4} x^{3}}{15 d^{2}}+2 A \,a^{3} b \,g^{4} x^{2}+B \,a^{4} g^{4} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{6 B \,a^{3} b \,g^{4} x^{2}}{5}-\frac{2 B \,a^{2} b^{2} c \,g^{4} x^{2}}{d}+\frac{B a \,b^{3} c^{2} g^{4} x^{2}}{d^{2}}-\frac{B \,b^{4} c^{3} g^{4} x^{2}}{5 d^{3}}+A \,a^{4} g^{4} x -\frac{2 B \,a^{5} g^{4} \ln \left(\frac{1}{d x +c}\right)}{5 b}-\frac{8 B \,a^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{5 b}+\frac{2 B \,a^{4} c \,g^{4} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B \,a^{4} c \,g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}+\frac{8 B \,a^{4} c \,g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d}+\frac{8 B \,a^{4} g^{4} x}{5}-\frac{4 B \,a^{3} b \,c^{2} g^{4} \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{2 B \,a^{3} b \,c^{2} g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{2}}-\frac{16 B \,a^{3} b \,c^{2} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}-\frac{4 B \,a^{3} b c \,g^{4} x}{d}+\frac{4 B \,a^{2} b^{2} c^{3} g^{4} \ln \left(\frac{1}{d x +c}\right)}{d^{3}}+\frac{2 B \,a^{2} b^{2} c^{3} g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{3}}+\frac{16 B \,a^{2} b^{2} c^{3} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{3}}+\frac{4 B \,a^{2} b^{2} c^{2} g^{4} x}{d^{2}}-\frac{2 B a \,b^{3} c^{4} g^{4} \ln \left(\frac{1}{d x +c}\right)}{d^{4}}-\frac{B a \,b^{3} c^{4} g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{4}}-\frac{8 B a \,b^{3} c^{4} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{4}}-\frac{2 B a \,b^{3} c^{3} g^{4} x}{d^{3}}+\frac{2 B \,b^{4} c^{5} g^{4} \ln \left(\frac{1}{d x +c}\right)}{5 d^{5}}+\frac{B \,b^{4} c^{5} g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{5 d^{5}}+\frac{8 B \,b^{4} c^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{5 d^{5}}+\frac{2 B \,b^{4} c^{4} g^{4} x}{5 d^{4}}+\frac{A \,a^{4} c \,g^{4}}{d}-\frac{2 A \,a^{3} b \,c^{2} g^{4}}{d^{2}}+\frac{2 A \,a^{2} b^{2} c^{3} g^{4}}{d^{3}}-\frac{A a \,b^{3} c^{4} g^{4}}{d^{4}}+\frac{A \,b^{4} c^{5} g^{4}}{5 d^{5}}+\frac{8 B \,a^{4} c \,g^{4}}{5 d}-\frac{26 B \,a^{3} b \,c^{2} g^{4}}{5 d^{2}}+\frac{98 B \,a^{2} b^{2} c^{3} g^{4}}{15 d^{3}}-\frac{113 B a \,b^{3} c^{4} g^{4}}{30 d^{4}}+\frac{5 B \,b^{4} c^{5} g^{4}}{6 d^{5}}"," ",0,"-40/d^2*B*g^4*b^2/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a^3*c^3-12/d^4*B*g^4/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a*c^5*b^4+30/d*B*g^4*b/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a^4*c^2+30/d^3*B*g^4*b^3/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a^2*c^4+1/d*B*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a^4*c*g^4+2/5/d^5*B*g^4*ln(1/(d*x+c))*c^5*b^4+8/5/d^5*B*g^4*b^4*c^5*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)+1/5/d^5*B*g^4*b^4*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*c^5-1/10/d*B*g^4*b^4*c*x^4+2/15/d^2*B*g^4*b^4*c^2*x^3-1/5/d^3*B*g^4*b^4*c^3*x^2+2/5/d^4*B*g^4*b^4*c^4*x+2/d*B*g^4*ln(1/(d*x+c))*a^4*c+2*B*g^4*b*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a^3*x^2+B*g^4*b^3*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a*x^4-12*B*g^4/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a^5*c+2*B*g^4*b^2*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a^2*x^3+8/d*B*g^4*a^4*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*c-113/30/d^4*B*g^4*b^3*a*c^4+98/15/d^3*B*g^4*b^2*a^2*c^3-26/5/d^2*B*g^4*b*a^3*c^2+2/d^3*A*g^4*a^2*b^2*c^3-1/d^4*A*g^4*a*b^3*c^4-2/d^2*A*g^4*a^3*b*c^2+8/5*B*x*a^4*g^4+1/5*A*g^4*x^5*b^4+A*g^4*x*a^4+5/6/d^5*B*g^4*b^4*c^5-16/d^2*B*g^4*b*a^3*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*c^2+2/d^3*B*g^4*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a^2*b^2*c^3-2/d^2*B*g^4*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a^3*b*c^2-1/d^4*B*g^4*b^3*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*a*c^4+4/d^3*B*g^4*b^2*ln(1/(d*x+c))*a^2*c^3-8/d^4*B*g^4*b^3*c^4*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a-2/d^4*B*g^4*b^3*ln(1/(d*x+c))*a*c^4+16/d^3*B*g^4*b^2*a^2*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*c^3-4/d^2*B*g^4*b*ln(1/(d*x+c))*a^3*c^2+2/d^5*B*g^4/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*c^6*b^5+2*d*B*g^4/b/(a*d-b*c)*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)*a^6-2/d*B*g^4*b^2*a^2*x^2*c+4/d^2*B*g^4*b^2*a^2*x*c^2-2/d^3*B*g^4*b^3*a*x*c^3-4/d*B*g^4*b*a^3*x*c-2/3/d*B*g^4*b^3*a*x^3*c+1/d^2*B*g^4*b^3*a*x^2*c^2+1/5/d^5*A*g^4*b^4*c^5+1/d*A*g^4*a^4*c+8/5/d*B*a^4*c*g^4+8/15*B*g^4*b^2*a^2*x^3+1/10*B*g^4*b^3*a*x^4+6/5*B*g^4*b*a^3*x^2+2*A*g^4*x^3*a^2*b^2+A*g^4*x^4*a*b^3+2*A*g^4*x^2*a^3*b-2/5*B*g^4/b*ln(1/(d*x+c))*a^5+1/5*B*g^4*b^4*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*x^5+B*ln(e*(a/(d*x+c)*d-1/(d*x+c)*b*c+b)^2/d^2)*x*a^4*g^4-8/5*B*g^4/b*a^5*ln(a/(d*x+c)*d-1/(d*x+c)*b*c+b)","B"
120,1,1249,141,0.085000," ","int((b*g*x+a*g)^3*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2)),x)","\frac{B \,b^{3} g^{3} x^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{4}+\frac{A \,b^{3} g^{3} x^{4}}{4}+B a \,b^{2} g^{3} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A a \,b^{2} g^{3} x^{3}+\frac{2 B \,a^{5} d \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{10 B \,a^{4} c \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{20 B \,a^{3} b \,c^{2} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{20 B \,a^{2} b^{2} c^{3} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{3 B \,a^{2} b \,g^{3} x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2}+\frac{10 B a \,b^{3} c^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}+\frac{B a \,b^{2} g^{3} x^{3}}{6}-\frac{2 B \,b^{4} c^{5} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{4}}-\frac{B \,b^{3} c \,g^{3} x^{3}}{6 d}+\frac{3 A \,a^{2} b \,g^{3} x^{2}}{2}+B \,a^{3} g^{3} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{3 B \,a^{2} b \,g^{3} x^{2}}{4}-\frac{B a \,b^{2} c \,g^{3} x^{2}}{d}+\frac{B \,b^{3} c^{2} g^{3} x^{2}}{4 d^{2}}+A \,a^{3} g^{3} x -\frac{B \,a^{4} g^{3} \ln \left(\frac{1}{d x +c}\right)}{2 b}-\frac{3 B \,a^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{2 b}+\frac{2 B \,a^{3} c \,g^{3} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B \,a^{3} c \,g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}+\frac{6 B \,a^{3} c \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d}+\frac{3 B \,a^{3} g^{3} x}{2}-\frac{3 B \,a^{2} b \,c^{2} g^{3} \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{3 B \,a^{2} b \,c^{2} g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 d^{2}}-\frac{9 B \,a^{2} b \,c^{2} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}-\frac{3 B \,a^{2} b c \,g^{3} x}{d}+\frac{2 B a \,b^{2} c^{3} g^{3} \ln \left(\frac{1}{d x +c}\right)}{d^{3}}+\frac{B a \,b^{2} c^{3} g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{3}}+\frac{6 B a \,b^{2} c^{3} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{3}}+\frac{2 B a \,b^{2} c^{2} g^{3} x}{d^{2}}-\frac{B \,b^{3} c^{4} g^{3} \ln \left(\frac{1}{d x +c}\right)}{2 d^{4}}-\frac{B \,b^{3} c^{4} g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{4 d^{4}}-\frac{3 B \,b^{3} c^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{2 d^{4}}-\frac{B \,b^{3} c^{3} g^{3} x}{2 d^{3}}+\frac{A \,a^{3} c \,g^{3}}{d}-\frac{3 A \,a^{2} b \,c^{2} g^{3}}{2 d^{2}}+\frac{A a \,b^{2} c^{3} g^{3}}{d^{3}}-\frac{A \,b^{3} c^{4} g^{3}}{4 d^{4}}+\frac{3 B \,a^{3} c \,g^{3}}{2 d}-\frac{15 B \,a^{2} b \,c^{2} g^{3}}{4 d^{2}}+\frac{19 B a \,b^{2} c^{3} g^{3}}{6 d^{3}}-\frac{11 B \,b^{3} c^{4} g^{3}}{12 d^{4}}"," ",0,"1/4*A*g^3*x^4*b^3+3/2*B*x*a^3*g^3+A*g^3*x*a^3+3/2/d*B*a^3*c*g^3+1/d*A*g^3*a^3*c-11/12/d^4*B*g^3*b^3*c^4-1/4/d^4*A*g^3*b^3*c^4+2/d*B*g^3*ln(1/(d*x+c))*a^3*c-1/4/d^4*B*g^3*b^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^4-1/6/d*B*g^3*b^3*c*x^3-1/2/d^4*B*g^3*ln(1/(d*x+c))*c^4*b^3-3/2/d^4*B*g^3*b^3*c^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)+6/d*B*g^3*a^3*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c+1/4/d^2*B*g^3*b^3*c^2*x^2-1/2/d^3*B*g^3*b^3*c^3*x-10*B*g^3/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^4*c+B*g^3*b^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*x^3+3/2*B*g^3*b*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^2*x^2+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^3*c*g^3+19/6/d^3*B*g^3*b^2*a*c^3-3/2/d^2*A*g^3*a^2*b*c^2-15/4/d^2*B*g^3*b*a^2*c^2+1/d^3*A*g^3*a*b^2*c^3+10/d^3*B*g^3/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^4*b^3+20/d*B*g^3*b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^3*c^2-20/d^2*B*g^3*b^2/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^3+3/4*B*g^3*b*a^2*x^2+1/6*B*g^3*b^2*a*x^3-3/2*B*g^3/b*a^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)+1/4*B*g^3*b^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^4-1/2*B*g^3/b*ln(1/(d*x+c))*a^4+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*a^3*g^3+3/2*A*g^3*x^2*a^2*b+A*g^3*x^3*a*b^2+2*d*B*g^3/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^5+6/d^3*B*g^3*b^2*a*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3-2/d^4*B*g^3/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^5*b^4-3/d^2*B*g^3*b*ln(1/(d*x+c))*a^2*c^2+1/d^3*B*g^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*b^2*c^3-3/2/d^2*B*g^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^2*b*c^2-3/d*B*g^3*b*a^2*x*c-1/d*B*g^3*b^2*a*x^2*c+2/d^2*B*g^3*b^2*a*x*c^2-9/d^2*B*g^3*b*a^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2+2/d^3*B*g^3*b^2*ln(1/(d*x+c))*a*c^3","B"
121,1,915,112,0.078000," ","int((b*g*x+a*g)^2*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2)),x)","\frac{B \,b^{2} g^{2} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3}+\frac{A \,b^{2} g^{2} x^{3}}{3}+\frac{2 B \,a^{4} d \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{8 B \,a^{3} c \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{12 B \,a^{2} b \,c^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{8 B a \,b^{2} c^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+B a b \,g^{2} x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{2 B \,b^{3} c^{4} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}+A a b \,g^{2} x^{2}+B \,a^{2} g^{2} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+\frac{B a b \,g^{2} x^{2}}{3}-\frac{B \,b^{2} c \,g^{2} x^{2}}{3 d}+A \,a^{2} g^{2} x -\frac{2 B \,a^{3} g^{2} \ln \left(\frac{1}{d x +c}\right)}{3 b}-\frac{4 B \,a^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{3 b}+\frac{2 B \,a^{2} c \,g^{2} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B \,a^{2} c \,g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}+\frac{4 B \,a^{2} c \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d}+\frac{4 B \,a^{2} g^{2} x}{3}-\frac{2 B a b \,c^{2} g^{2} \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{B a b \,c^{2} g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{2}}-\frac{4 B a b \,c^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}-\frac{2 B a b c \,g^{2} x}{d}+\frac{2 B \,b^{2} c^{3} g^{2} \ln \left(\frac{1}{d x +c}\right)}{3 d^{3}}+\frac{B \,b^{2} c^{3} g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3 d^{3}}+\frac{4 B \,b^{2} c^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{3 d^{3}}+\frac{2 B \,b^{2} c^{2} g^{2} x}{3 d^{2}}+\frac{A \,a^{2} c \,g^{2}}{d}-\frac{A a b \,c^{2} g^{2}}{d^{2}}+\frac{A \,b^{2} c^{3} g^{2}}{3 d^{3}}+\frac{4 B \,a^{2} c \,g^{2}}{3 d}-\frac{7 B a b \,c^{2} g^{2}}{3 d^{2}}+\frac{B \,b^{2} c^{3} g^{2}}{d^{3}}"," ",0,"1/3*B*g^2*b*a*x^2+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*a^2*g^2+1/d*A*g^2*a^2*c+1/3/d^3*A*g^2*b^2*c^3+1/d^3*B*g^2*c^3*b^2+4/3/d*B*g^2*a^2*c-4/3*B*g^2/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^3-2/3*B*g^2/b*ln(1/(d*x+c))*a^3+1/3*B*g^2*b^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^3+A*g^2*x^2*a*b+4/3*B*x*a^2*g^2+A*g^2*x*a^2+1/3*A*g^2*x^3*b^2-1/d^2*B*g^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*b*c^2-2/d*B*g^2*a*b*c*x+2*d*B*g^2/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^4-2/d^2*B*g^2*b*ln(1/(d*x+c))*a*c^2-4/d^2*B*g^2*b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2+4/d*B*g^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c+2/d*B*g^2*ln(1/(d*x+c))*a^2*c+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^2*c*g^2+4/3/d^3*B*g^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b^2-1/d^2*A*g^2*a*b*c^2-8/d^2*B*g^2/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^3*b^2-7/3/d^2*B*g^2*b*a*c^2+12/d*B*g^2*b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^2+2/3/d^3*B*g^2*ln(1/(d*x+c))*c^3*b^2+1/3/d^3*B*g^2*b^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^3-8*B*g^2/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^3*c+B*g^2*b*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*x^2+2/3/d^2*B*g^2*c^2*b^2*x-1/3/d*B*g^2*b^2*c*x^2+2/d^3*B*g^2/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^4*b^3","B"
122,1,560,76,0.074000," ","int((b*g*x+a*g)*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2)),x)","\frac{2 B \,a^{3} d g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{6 B \,a^{2} c g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{6 B a b \,c^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{2 B \,b^{2} c^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{B b g \,x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2}+\frac{A b g \,x^{2}}{2}+B a g x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A a g x -\frac{B \,a^{2} g \ln \left(\frac{1}{d x +c}\right)}{b}-\frac{B \,a^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b}+\frac{2 B a c g \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B a c g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}+\frac{2 B a c g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d}+B a g x -\frac{B b \,c^{2} g \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{B b \,c^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 d^{2}}-\frac{B b \,c^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}-\frac{B b c g x}{d}+\frac{A a c g}{d}-\frac{A b \,c^{2} g}{2 d^{2}}+\frac{B a c g}{d}-\frac{B b \,c^{2} g}{d^{2}}"," ",0,"-1/d*g*B*b*c*x+1/d*B*g*a*c+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*c*g+1/d*A*g*a*c-1/2/d^2*A*g*b*c^2+1/2*A*g*x^2*b+2/d*B*g*ln(1/(d*x+c))*a*c+2/d*B*g*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c-B*g/b*ln(1/(d*x+c))*a^2+g*B*a*x+g*A*a*x-1/d^2*B*g*c^2*b-1/d^2*B*g*ln(1/(d*x+c))*c^2*b-B*g/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2-1/d^2*B*g*b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2-2/d^2*B*g/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b^2+2*d*B*g/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^3+6/d*B*g/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*b-1/2/d^2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b*c^2+1/2*B*g*b*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^2+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*a*g-6*B*g/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c","B"
123,1,552,82,0.134000," ","int((A+B*ln(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g),x)","\frac{2 B a d \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) b g}+\frac{B a d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right) \ln \left(b +\frac{a d -b c}{d x +c}\right)}{\left(a d -b c \right) b g}-\frac{B a d \ln \left(b +\frac{a d -b c}{d x +c}\right)^{2}}{\left(a d -b c \right) b g}-\frac{2 B c \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}-\frac{B c \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right) \ln \left(b +\frac{a d -b c}{d x +c}\right)}{\left(a d -b c \right) g}+\frac{B c \ln \left(b +\frac{a d -b c}{d x +c}\right)^{2}}{\left(a d -b c \right) g}+\frac{A a d \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b g}-\frac{A c \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) g}+\frac{2 B a d \dilog \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) b g}-\frac{2 B c \dilog \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}-\frac{B \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{b g}-\frac{A \ln \left(\frac{1}{d x +c}\right)}{b g}"," ",0,"d/g*A/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a-1/g*A/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c-1/g*A/b*ln(1/(d*x+c))+d/g*B/b*ln(1/(d*x+c)*(a*d-b*c)+b)/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a-1/g*B*ln(1/(d*x+c)*(a*d-b*c)+b)/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c-d/g*B/b/(a*d-b*c)*ln(1/(d*x+c)*(a*d-b*c)+b)^2*a+1/g*B/(a*d-b*c)*ln(1/(d*x+c)*(a*d-b*c)+b)^2*c-1/g*B/b*ln(1/(d*x+c))*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+2*d/g*B/b*dilog((1/(d*x+c)*(a*d-b*c)+b)/b)/(a*d-b*c)*a-2/g*B*dilog((1/(d*x+c)*(a*d-b*c)+b)/b)/(a*d-b*c)*c+2*d/g*B/b*ln(1/(d*x+c))*ln((1/(d*x+c)*(a*d-b*c)+b)/b)/(a*d-b*c)*a-2/g*B*ln(1/(d*x+c))*ln((1/(d*x+c)*(a*d-b*c)+b)/b)/(a*d-b*c)*c","B"
124,1,157,65,0.076000," ","int((A+B*ln(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^2,x)","\frac{B d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}+\frac{A d}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}-\frac{2 B d}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(d x +c \right) b \,g^{2}}"," ",0,"d/g^2*A/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)/(a*d-b*c)-2*d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*B/b/(d*x+c)+d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*B/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
125,1,355,137,0.115000," ","int((A+B*ln(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^3,x)","\frac{B b \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) g^{3}}-\frac{A b \,d^{2}}{2 \left(a d -b c \right)^{2} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{3}}+\frac{B \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}+\frac{A \,d^{2}}{\left(a d -b c \right)^{2} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{3}}-\frac{B \,d^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}-\frac{3 B \,d^{2}}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(d x +c \right)^{2} b \,g^{3}}"," ",0,"d^2/g^3*A/(a*d-b*c)^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-1/2*d^2/g^3*A*b/(a*d-b*c)^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B/(a*d-b*c)/(d*x+c)-3/2*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B/b/(d*x+c)^2+1/2*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*b*B/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B/(a*d-b*c)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
126,1,579,168,0.159000," ","int((A+B*ln(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^4,x)","\frac{B \,b^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) g^{4}}+\frac{A \,b^{2} d^{3}}{3 \left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} g^{4}}+\frac{B b \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}-\frac{A b \,d^{3}}{\left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{4}}-\frac{2 B b \,d^{3}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{B \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}+\frac{A \,d^{3}}{\left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{4}}-\frac{5 B \,d^{3}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}-\frac{11 B \,d^{3}}{9 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(d x +c \right)^{3} b \,g^{4}}"," ",0,"1/3*d^3/g^4*A*b^2/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3+d^3/g^4*A/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-d^3/g^4*A*b/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-11/9*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B/b/(d*x+c)^3+1/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*b^2*B/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-2/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)-5/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B/(a*d-b*c)/(d*x+c)^2+d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B/(a*d-b*c)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
127,1,833,197,0.218000," ","int((A+B*ln(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^5,x)","\frac{B \,b^{3} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{4 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{4} d^{4}-4 a^{3} c \,d^{3} b +6 a^{2} c^{2} d^{2} b^{2}-4 a \,c^{3} d \,b^{3}+c^{4} b^{4}\right) g^{5}}-\frac{A \,b^{3} d^{4}}{4 \left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} g^{5}}+\frac{B \,b^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{A \,b^{2} d^{4}}{\left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} g^{5}}-\frac{B \,b^{2} d^{4}}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{3 B b \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}-\frac{3 A b \,d^{4}}{2 \left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{5}}-\frac{7 B b \,d^{4}}{4 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}+\frac{B \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}+\frac{A \,d^{4}}{\left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{5}}-\frac{13 B \,d^{4}}{6 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}-\frac{25 B \,d^{4}}{24 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(d x +c \right)^{4} b \,g^{5}}"," ",0,"d^4/g^5*A*b^2/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3-1/4*d^4/g^5*A*b^3/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4+d^4/g^5*A/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-3/2*d^4/g^5*A*b/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-25/24*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B/b/(d*x+c)^4+1/4*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*b^3*B/(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)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-1/2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)-7/4*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2-13/6*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B/(a*d-b*c)/(d*x+c)^3+d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B/(a*d-b*c)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+3/2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*b*B/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
128,0,0,363,1.368000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2))^2,x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^4*(A+B*ln(e*(b*x+a)^2/(d*x+c)^2))^2,x)","F"
129,0,0,309,1.204000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
130,0,0,245,1.158000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
131,0,0,186,0.954000," ","int((b*g*x+a*g)*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
132,0,0,132,0.985000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g),x)","F"
133,1,357,130,0.097000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g)^2,x)","\frac{B^{2} d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}+\frac{2 A B d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}+\frac{4 B^{2} d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}+\frac{A^{2} d}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(a d -b c \right) g^{2}}-\frac{4 A B d}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(d x +c \right) b \,g^{2}}-\frac{8 B^{2} d}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) \left(d x +c \right) b \,g^{2}}"," ",0,"d/g^2*A^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)/(a*d-b*c)-8*d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*B^2/b/(d*x+c)+4*d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*B^2/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*B^2/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2-4*d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*A*B/b/(d*x+c)+2*d/g^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*A*B/(a*d-b*c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
134,1,815,270,0.154000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g)^3,x)","\frac{B^{2} b \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) g^{3}}+\frac{A B b \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) g^{3}}+\frac{3 B^{2} b \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) g^{3}}+\frac{B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}-\frac{A^{2} b \,d^{2}}{2 \left(a d -b c \right)^{2} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{3}}+\frac{2 A B \,d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}+\frac{4 B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}+\frac{A^{2} d^{2}}{\left(a d -b c \right)^{2} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{3}}-\frac{2 A B \,d^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}-\frac{6 B^{2} d^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(a d -b c \right) \left(d x +c \right) g^{3}}-\frac{3 A B \,d^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(d x +c \right)^{2} b \,g^{3}}-\frac{7 B^{2} d^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} \left(d x +c \right)^{2} b \,g^{3}}"," ",0,"d^2/g^3*A^2/(a*d-b*c)^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-1/2*d^2/g^3*A^2*b/(a*d-b*c)^2/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-7*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B^2/b/(d*x+c)^2+3*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*b*B^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-6*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B^2/(a*d-b*c)/(d*x+c)+4*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B^2/(a*d-b*c)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+1/2*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*B^2/(a*d-b*c)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2-3*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*A*B/b/(d*x+c)^2+d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*b*A*B/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-2*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*A*B/(a*d-b*c)/(d*x+c)+2*d^2/g^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2*A*B/(a*d-b*c)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
135,1,1343,423,0.230000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g)^4,x)","\frac{B^{2} b^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) g^{4}}+\frac{2 A B \,b^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) g^{4}}+\frac{22 B^{2} b^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{9 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) g^{4}}+\frac{B^{2} b \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{A^{2} b^{2} d^{3}}{3 \left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} g^{4}}+\frac{2 A B b \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{6 B^{2} b \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{B^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}-\frac{A^{2} b \,d^{3}}{\left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{4}}-\frac{4 A B b \,d^{3}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{2 A B \,d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}-\frac{44 B^{2} b \,d^{3}}{9 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right) g^{4}}+\frac{4 B^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}+\frac{A^{2} d^{3}}{\left(a d -b c \right)^{3} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{4}}-\frac{10 A B \,d^{3}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}-\frac{98 B^{2} d^{3}}{9 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(a d -b c \right) \left(d x +c \right)^{2} g^{4}}-\frac{22 A B \,d^{3}}{9 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(d x +c \right)^{3} b \,g^{4}}-\frac{170 B^{2} d^{3}}{27 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} \left(d x +c \right)^{3} b \,g^{4}}"," ",0,"1/3*d^3/g^4*A^2*b^2/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3+d^3/g^4*A^2/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-d^3/g^4*A^2*b/(a*d-b*c)^3/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-170/27*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2/b/(d*x+c)^3+22/9*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*b^2*B^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-44/9*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)-98/9*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2/(a*d-b*c)/(d*x+c)^2+4*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2/(a*d-b*c)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+1/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2/(a*d-b*c)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+6*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2-22/9*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*A*B/b/(d*x+c)^3+2/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*b^2*A*B/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-4/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*A*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)-10/3*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*A*B/(a*d-b*c)/(d*x+c)^2+2*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*A*B/(a*d-b*c)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+2*d^3/g^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3*A*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
136,1,1943,575,0.343000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(b*g*x+a*g)^5,x)","\frac{B^{2} b^{3} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{4 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{4} d^{4}-4 a^{3} c \,d^{3} b +6 a^{2} c^{2} d^{2} b^{2}-4 a \,c^{3} d \,b^{3}+c^{4} b^{4}\right) g^{5}}+\frac{A B \,b^{3} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{4} d^{4}-4 a^{3} c \,d^{3} b +6 a^{2} c^{2} d^{2} b^{2}-4 a \,c^{3} d \,b^{3}+c^{4} b^{4}\right) g^{5}}+\frac{25 B^{2} b^{3} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{12 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{4} d^{4}-4 a^{3} c \,d^{3} b +6 a^{2} c^{2} d^{2} b^{2}-4 a \,c^{3} d \,b^{3}+c^{4} b^{4}\right) g^{5}}+\frac{B^{2} b^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}-\frac{A^{2} b^{3} d^{4}}{4 \left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} g^{5}}+\frac{2 A B \,b^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{22 B^{2} b^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{3 B^{2} b \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}+\frac{A^{2} b^{2} d^{4}}{\left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{3} g^{5}}-\frac{A B \,b^{2} d^{4}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{3 A B b \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}-\frac{25 B^{2} b^{2} d^{4}}{6 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,c^{2} d \,b^{2}-b^{3} c^{3}\right) \left(d x +c \right) g^{5}}+\frac{9 B^{2} b \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}+\frac{B^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)^{2}}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}-\frac{3 A^{2} b \,d^{4}}{2 \left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} g^{5}}-\frac{7 A B b \,d^{4}}{2 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}+\frac{2 A B \,d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}-\frac{163 B^{2} b \,d^{4}}{12 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(d x +c \right)^{2} g^{5}}+\frac{4 B^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}+\frac{A^{2} d^{4}}{\left(a d -b c \right)^{4} \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right) g^{5}}-\frac{13 A B \,d^{4}}{3 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}-\frac{271 B^{2} d^{4}}{18 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(a d -b c \right) \left(d x +c \right)^{3} g^{5}}-\frac{25 A B \,d^{4}}{12 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(d x +c \right)^{4} b \,g^{5}}-\frac{415 B^{2} d^{4}}{72 \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{4} \left(d x +c \right)^{4} b \,g^{5}}"," ",0,"d^4/g^5*A^2*b^2/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^3-1/4*d^4/g^5*A^2*b^3/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4+d^4/g^5*A^2/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-3/2*d^4/g^5*A^2*b/(a*d-b*c)^4/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2-415/72*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2/b/(d*x+c)^4+25/12*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*b^3*B^2/(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)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-25/6*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)-163/12*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2-271/18*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2/(a*d-b*c)/(d*x+c)^3+4*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2/(a*d-b*c)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+1/4*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b^3/(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)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2/(a*d-b*c)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+9*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+22/3*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+3/2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2+d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*B^2*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)^2-d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)-25/12*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B/b/(d*x+c)^4+1/2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*b^3*A*B/(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)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)-7/2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2-13/3*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B/(a*d-b*c)/(d*x+c)^3+2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B/(a*d-b*c)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+3*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B*b/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+2*d^4/g^5/(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^4*A*B*b^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)","B"
137,0,0,36,0.796000," ","int((b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{\left(b g x +a g \right)^{2}}{B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
138,0,0,34,0.632000," ","int((b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{b g x +a g}{B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
139,0,0,36,0.822000," ","int(1/(b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
140,0,0,85,0.875000," ","int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
141,0,0,142,0.959000," ","int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
142,0,0,36,0.764000," ","int((b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{2}}{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
143,0,0,34,0.754000," ","int((b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{b g x +a g}{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
144,0,0,36,0.737000," ","int(1/(b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
145,0,0,142,1.046000," ","int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
146,0,0,252,1.317000," ","int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
147,1,2374,159,0.779000," ","int((b*x+a)^4*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\text{Expression too large to display}"," ",0,"-1/5*(b*x+a)^5*B/b*ln((d*x+c)^n)+ln((b*x+a)^n)*x*B*a^4+1/5*b^4*A*x^5+1/5*b^4*B*ln(e)*x^5+1/5*b^4*B*x^5*ln((b*x+a)^n)+B*ln(e)*a^4*x+b^3*A*a*x^4+2*b^2*A*a^2*x^3+2*b*A*a^3*x^2+A*a^4*x+b^3*B*ln(e)*a*x^4+b^3*B*a*x^4*ln((b*x+a)^n)+2*b^2*B*ln(e)*a^2*x^3+2*b^2*B*a^2*x^3*ln((b*x+a)^n)+2*b*B*ln(e)*a^3*x^2+2*b*B*a^3*x^2*ln((b*x+a)^n)+1/5/b*B*ln(d*x+c)*a^5*n-1/2*I*B*Pi*a^4*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/10*I*b^4*B*Pi*x^5*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/10*I*b^4*B*Pi*x^5*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/20*b^3*B*a*n*x^4-1/20*b^4/d*B*c*n*x^4+4/15*b^2*B*a^2*n*x^3+1/15*b^4/d^2*B*c^2*n*x^3+3/5*b*B*a^3*n*x^2-1/10*b^4/d^3*B*c^3*n*x^2+4/5*B*a^4*n*x+1/5*b^4/d^4*B*c^4*n*x-1/5*b^4/d^5*B*ln(d*x+c)*c^5*n-1/d*B*ln(d*x+c)*a^4*c*n-1/2*I*B*Pi*a^4*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*b^2*B*Pi*a^2*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*b^2*B*Pi*a^2*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*b^2*B*Pi*a^2*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*b^2*B*Pi*a^2*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*b*B*Pi*a^3*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*b*B*Pi*a^3*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*b*B*Pi*a^3*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*b*B*Pi*a^3*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/10*I*b^4*B*Pi*x^5*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/10*I*b^4*B*Pi*x^5*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I*b^3*B*Pi*a*x^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b^3*B*Pi*a*x^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b^3*B*Pi*a*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*b^3*B*Pi*a*x^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*B*Pi*a^4*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*a^4*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/3*b^3/d*B*a*c*n*x^3-b^2/d*B*a^2*c*n*x^2+1/2*b^3/d^2*B*a*c^2*n*x^2-2*b/d*B*a^3*c*n*x+2*b^2/d^2*B*a^2*c^2*n*x-b^3/d^3*B*a*c^3*n*x+2*b/d^2*B*ln(d*x+c)*a^3*c^2*n-2*b^2/d^3*B*ln(d*x+c)*a^2*c^3*n+b^3/d^4*B*ln(d*x+c)*a*c^4*n-I*b*B*Pi*a^3*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/2*I*B*Pi*a^4*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^4*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^4*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*a^4*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/10*I*b^4*B*Pi*x^5*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/10*I*b^4*B*Pi*x^5*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/10*I*b^4*B*Pi*x^5*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/10*I*b^4*B*Pi*x^5*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*b^3*B*Pi*a*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*b^3*B*Pi*a*x^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*b^2*B*Pi*a^2*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*b^2*B*Pi*a^2*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*b*B*Pi*a^3*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/5*B*a^5*n/b*ln(-b*x-a)-I*b^2*B*Pi*a^2*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*b^2*B*Pi*a^2*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*b*B*Pi*a^3*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*b*B*Pi*a^3*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*b^3*B*Pi*a*x^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*b^3*B*Pi*a*x^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))","C"
148,1,1840,132,0.513000," ","int((b*x+a)^3*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","B \,a^{3} x \ln \left(\left(b x +a \right)^{n}\right)-\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{8}-\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{8}-\frac{i \pi  B \,a^{3} x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{A \,b^{3} x^{4}}{4}+\frac{B \,b^{3} x^{4} \ln \left(e \right)}{4}+\frac{B \,b^{3} x^{4} \ln \left(\left(b x +a \right)^{n}\right)}{4}+B \,a^{3} x \ln \left(e \right)-\frac{\left(b x +a \right)^{4} B \ln \left(\left(d x +c \right)^{n}\right)}{4 b}+\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}-\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}+\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{B a \,b^{2} n \,x^{3}}{12}-\frac{B \,b^{3} c n \,x^{3}}{12 d}-\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{B a \,b^{2} c n \,x^{2}}{2 d}-\frac{3 B \,a^{2} b c n x}{2 d}+\frac{B a \,b^{2} c^{2} n x}{d^{2}}+\frac{B \,a^{4} n \ln \left(-b x -a \right)}{4 b}+A a \,b^{2} x^{3}+\frac{3 A \,a^{2} b \,x^{2}}{2}+A \,a^{3} x +\frac{3 B \,a^{2} b \,x^{2} \ln \left(e \right)}{2}+B a \,b^{2} x^{3} \ln \left(e \right)+B a \,b^{2} x^{3} \ln \left(\left(b x +a \right)^{n}\right)+\frac{3 B \,a^{2} b \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)}{2}+\frac{B \,a^{4} n \ln \left(d x +c \right)}{4 b}-\frac{B \,b^{3} c^{3} n x}{4 d^{3}}-\frac{B \,a^{3} c n \ln \left(d x +c \right)}{d}+\frac{B \,b^{3} c^{4} n \ln \left(d x +c \right)}{4 d^{4}}-\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{i \pi  B \,a^{3} x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{8}-\frac{i \pi  B \,b^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{8}+\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,a^{2} b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}-\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,a^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}+\frac{3 B \,a^{2} b n \,x^{2}}{8}+\frac{B \,b^{3} c^{2} n \,x^{2}}{8 d^{2}}+\frac{3 B \,a^{3} n x}{4}+\frac{3 B \,a^{2} b \,c^{2} n \ln \left(d x +c \right)}{2 d^{2}}-\frac{B a \,b^{2} c^{3} n \ln \left(d x +c \right)}{d^{3}}"," ",0,"ln((b*x+a)^n)*x*B*a^3+1/4*b^3*A*x^4+1/4*b^3*B*ln(e)*x^4+1/4*b^3*B*x^4*ln((b*x+a)^n)+B*ln(e)*a^3*x-1/4*(b*x+a)^4*B/b*ln((d*x+c)^n)+1/12*b^2*B*a*n*x^3-1/12*b^3/d*B*c*n*x^3-1/2*I*b^2*B*Pi*a*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*b^2*B*Pi*a*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-3/4*I*b*B*Pi*a^2*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-3/4*I*b*B*Pi*a^2*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*b^2/d*B*a*c*n*x^2-3/2*b/d*B*a^2*c*n*x+b^2/d^2*B*a*c^2*n*x+1/4*B*a^4*n/b*ln(-b*x-a)+b^2*A*a*x^3+3/2*b*A*a^2*x^2+A*a^3*x+3/2*b*B*ln(e)*a^2*x^2+b^2*B*ln(e)*a*x^3+b^2*B*a*x^3*ln((b*x+a)^n)+3/2*b*B*a^2*x^2*ln((b*x+a)^n)+1/4/b*B*ln(d*x+c)*a^4*n-1/4*b^3/d^3*B*c^3*n*x-1/d*B*ln(d*x+c)*a^3*c*n+1/4*b^3/d^4*B*ln(d*x+c)*c^4*n-1/8*I*b^3*B*Pi*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/8*I*b^3*B*Pi*x^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*a^3*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*a^3*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+3/4*I*b*B*Pi*a^2*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+3/4*I*b*B*Pi*a^2*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3/4*I*b*B*Pi*a^2*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*B*Pi*a^3*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*B*Pi*a^3*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/8*I*b^3*B*Pi*x^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/8*I*b^3*B*Pi*x^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I*b^2*B*Pi*a*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b^2*B*Pi*a*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b^2*B*Pi*a*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*b^2*B*Pi*a*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3/4*I*b*B*Pi*a^2*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+3/8*b*B*a^2*n*x^2+1/8*b^3/d^2*B*c^2*n*x^2+3/4*B*a^3*n*x+3/2*b/d^2*B*ln(d*x+c)*a^2*c^2*n-b^2/d^3*B*ln(d*x+c)*a*c^3*n+1/2*I*B*Pi*a^3*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^3*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^3*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*a^3*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/8*I*b^3*B*Pi*x^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/8*I*b^3*B*Pi*x^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/8*I*b^3*B*Pi*x^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/8*I*b^3*B*Pi*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*b^2*B*Pi*a*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*b^2*B*Pi*a*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-3/4*I*b*B*Pi*a^2*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-3/4*I*b*B*Pi*a^2*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3","C"
149,1,1325,105,0.467000," ","int((b*x+a)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","-\frac{\left(b x +a \right)^{3} B \ln \left(\left(d x +c \right)^{n}\right)}{3 b}+\frac{A \,b^{2} x^{3}}{3}+B \,a^{2} x \ln \left(e \right)+\frac{B \,b^{2} x^{3} \ln \left(\left(b x +a \right)^{n}\right)}{3}+\frac{B \,b^{2} x^{3} \ln \left(e \right)}{3}+B \,a^{2} x \ln \left(\left(b x +a \right)^{n}\right)-\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{6}+\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}+\frac{B \,a^{3} n \ln \left(-b x -a \right)}{3 b}-\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{6}+\frac{2 B \,a^{2} n x}{3}+\frac{B \,b^{2} c^{2} n x}{3 d^{2}}-\frac{B \,b^{2} c^{3} n \ln \left(d x +c \right)}{3 d^{3}}-\frac{B \,a^{2} c n \ln \left(d x +c \right)}{d}+A a b \,x^{2}+A \,a^{2} x +\frac{B \,a^{3} n \ln \left(d x +c \right)}{3 b}+B a b \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)+B a b \,x^{2} \ln \left(e \right)-\frac{B a b c n x}{d}+\frac{B a b \,c^{2} n \ln \left(d x +c \right)}{d^{2}}+\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}-\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B a b \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,a^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{6}-\frac{i \pi  B \,b^{2} x^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{6}+\frac{B a b n \,x^{2}}{6}-\frac{B \,b^{2} c n \,x^{2}}{6 d}-\frac{i \pi  B \,a^{2} x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B \,a^{2} x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}"," ",0,"-1/3*(b*x+a)^3*B/b*ln((d*x+c)^n)+1/3*b^2*A*x^3+B*ln(e)*a^2*x+1/3*b^2*B*x^3*ln((b*x+a)^n)+1/3*b^2*B*ln(e)*x^3+ln((b*x+a)^n)*x*B*a^2+1/3*B*a^3*n/b*ln(-b*x-a)-1/2*I*b*B*Pi*a*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*b*B*Pi*a*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*a^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*a^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/6*I*b^2*B*Pi*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/6*I*b^2*B*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I*b*B*Pi*a*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b*B*Pi*a*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*b*B*Pi*a*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*b*B*Pi*a*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/6*I*b^2*B*Pi*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*a^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*a^2*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2/3*B*a^2*n*x+1/3*b^2/d^2*B*c^2*n*x-1/3*b^2/d^3*B*ln(d*x+c)*c^3*n-1/d*B*ln(d*x+c)*a^2*c*n-1/6*I*b^2*B*Pi*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/2*I*B*Pi*a^2*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^2*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*a^2*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/6*I*b^2*B*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/6*I*b^2*B*Pi*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/6*I*b^2*B*Pi*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/6*I*b^2*B*Pi*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*b*B*Pi*a*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*b*B*Pi*a*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+b*A*a*x^2+A*a^2*x+1/3/b*B*ln(d*x+c)*a^3*n+b*B*a*x^2*ln((b*x+a)^n)+b*B*ln(e)*a*x^2-b/d*B*a*c*n*x+b/d^2*B*ln(d*x+c)*a*c^2*n+1/6*b*B*a*n*x^2-1/6*b^2/d*B*c*n*x^2","C"
150,1,817,78,0.427000," ","int((b*x+a)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","B a x \ln \left(\left(b x +a \right)^{n}\right)-\frac{\left(b x +2 a \right) B x \ln \left(\left(d x +c \right)^{n}\right)}{2}+A a x +\frac{A b \,x^{2}}{2}+B a x \ln \left(e \right)+\frac{B b \,x^{2} \ln \left(e \right)}{2}+\frac{B b \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)}{2}+\frac{B \,a^{2} n \ln \left(-b x -a \right)}{2 b}-\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{i \pi  B a x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{B a n x}{2}+\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B a x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B a x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{B b c n x}{2 d}-\frac{B a c n \ln \left(d x +c \right)}{d}-\frac{i \pi  B a x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B a x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{B b \,c^{2} n \ln \left(d x +c \right)}{2 d^{2}}-\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{i \pi  B b \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{i \pi  B a x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}"," ",0,"ln((b*x+a)^n)*x*B*a-1/2*B*x*(b*x+2*a)*ln((d*x+c)^n)+A*a*x+1/2*A*b*x^2+B*ln(e)*a*x+1/2*B*ln(e)*b*x^2+1/2*b*B*x^2*ln((b*x+a)^n)+1/2*B*a^2*n/b*ln(-b*x-a)+1/4*I*b*B*Pi*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/4*I*b*B*Pi*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*a*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*a*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*a*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/4*I*b*B*Pi*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/4*I*b*B*Pi*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B*n*a*x-1/2*b/d*B*c*n*x-1/d*B*ln(d*x+c)*a*c*n+1/2*b/d^2*B*ln(d*x+c)*c^2*n-1/4*I*b*B*Pi*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/4*I*b*B*Pi*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*a*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*a*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*a*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*a*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/4*I*b*B*Pi*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/4*I*b*B*Pi*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))","C"
151,1,523,78,1.244000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a),x)","-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 b}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 b}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 b}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 b}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 b}-\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 b}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 b}-\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 b}+\frac{B n \ln \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right) \ln \left(b x +a \right)}{b}+\frac{B n \dilog \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right)}{b}+\frac{B \ln \left(e \right) \ln \left(b x +a \right)}{b}-\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(b x +a \right)}{b}+\frac{A \ln \left(b x +a \right)}{b}+\frac{B \ln \left(\left(b x +a \right)^{n}\right)^{2}}{2 b n}"," ",0,"-B/b*ln(b*x+a)*ln((d*x+c)^n)+1/b*B*n*dilog((-a*d+b*c+d*(b*x+a))/(-a*d+b*c))+1/b*B*n*ln(b*x+a)*ln((-a*d+b*c+d*(b*x+a))/(-a*d+b*c))+1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/b*B*ln(b*x+a)*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+A*ln(b*x+a)/b+1/b*B*ln(b*x+a)*ln(e)+1/2/b*B/n*ln((b*x+a)^n)^2-1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I/b*B*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))","C"
152,1,823,99,0.402000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^2,x)","\frac{B \ln \left(\left(d x +c \right)^{n}\right)}{\left(b x +a \right) b}-\frac{2 A b c +2 B b c n -2 B a d n -2 B a d \ln \left(e \right)+2 B b c \ln \left(e \right)-2 B a d \ln \left(\left(b x +a \right)^{n}\right)+2 B b c \ln \left(\left(b x +a \right)^{n}\right)-2 A a d -i \pi  B a d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b c \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b c \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b c \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b c \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+2 B b d n x \ln \left(-b x -a \right)-2 B b d n x \ln \left(d x +c \right)+i \pi  B a d \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B a d \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B b c \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B b c \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B a d n \ln \left(-b x -a \right)-2 B a d n \ln \left(d x +c \right)+i \pi  B a d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B a d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B b c \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B b c \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2 \left(b x +a \right) \left(-a d +b c \right) b}"," ",0,"B/b/(b*x+a)*ln((d*x+c)^n)-1/2*(2*A*b*c+2*B*b*c*n-2*B*a*d*n-2*B*ln(e)*a*d+2*B*ln(e)*b*c-2*B*a*d*ln((b*x+a)^n)+2*B*b*c*ln((b*x+a)^n)-2*A*a*d+I*B*Pi*b*c*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+2*B*ln(-b*x-a)*b*d*n*x-2*B*ln(d*x+c)*b*d*n*x+I*B*Pi*b*c*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*b*c*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*B*Pi*a*d*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*a*d*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+2*B*ln(-b*x-a)*a*d*n-2*B*ln(d*x+c)*a*d*n+I*B*Pi*a*d*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*a*d*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*B*Pi*b*c*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*B*Pi*b*c*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*b*c*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*b*c*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b*c*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a*d*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*a*d*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*a*d*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*a*d*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2)/(b*x+a)/b/(-a*d+b*c)","C"
153,1,1379,130,0.487000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^3,x)","\frac{B \ln \left(\left(d x +c \right)^{n}\right)}{2 \left(b x +a \right)^{2} b}-\frac{2 A \,b^{2} c^{2}+B \,b^{2} c^{2} n +3 B \,a^{2} d^{2} n +2 A \,a^{2} d^{2}+2 B \,b^{2} c^{2} \ln \left(e \right)+2 B \,a^{2} d^{2} \ln \left(e \right)+2 B \,a^{2} d^{2} \ln \left(\left(b x +a \right)^{n}\right)+2 B \,b^{2} c^{2} \ln \left(\left(b x +a \right)^{n}\right)+2 i \pi  B a b c d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+2 i \pi  B a b c d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+2 B a b \,d^{2} n x -2 B \,b^{2} c d n x -4 B a b c d n +i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-2 B \,a^{2} d^{2} n \ln \left(-b x -a \right)-4 A a b c d -4 B a b c d \ln \left(\left(b x +a \right)^{n}\right)+2 B \,a^{2} d^{2} n \ln \left(d x +c \right)-2 B \,b^{2} d^{2} n \,x^{2} \ln \left(-b x -a \right)+2 B \,b^{2} d^{2} n \,x^{2} \ln \left(d x +c \right)-i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-4 B a b \,d^{2} n x \ln \left(-b x -a \right)+4 B a b \,d^{2} n x \ln \left(d x +c \right)-i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B \,a^{2} d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+2 i \pi  B a b c d \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 i \pi  B a b c d \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B \,b^{2} c^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-2 i \pi  B a b c d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-4 B a b c d \ln \left(e \right)-2 i \pi  B a b c d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-2 i \pi  B a b c d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-2 i \pi  B a b c d \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4 \left(b x +a \right)^{2} \left(-a d +b c \right)^{2} b}"," ",0,"1/2*B/b/(b*x+a)^2*ln((d*x+c)^n)-1/4*(2*A*b^2*c^2+2*I*B*Pi*a*b*c*d*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*a^2*d^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+B*c^2*n*b^2+3*B*a^2*d^2*n+2*A*a^2*d^2+2*B*ln(e)*b^2*c^2+2*B*ln(e)*a^2*d^2+2*B*a^2*d^2*ln((b*x+a)^n)+2*B*b^2*c^2*ln((b*x+a)^n)+2*I*B*Pi*a*b*c*d*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+2*B*a*b*d^2*n*x-2*B*b^2*c*d*n*x-4*B*a*c*d*n*b+2*I*B*Pi*a*b*c*d*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*b^2*c^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*B*Pi*a^2*d^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*B*Pi*a^2*d^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*b^2*c^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*b^2*c^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*a^2*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*c^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*a^2*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+2*I*B*Pi*a*b*c*d*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-2*B*a^2*n*ln(-b*x-a)*d^2+I*B*Pi*a^2*d^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-4*A*a*b*c*d-4*B*a*b*c*d*ln((b*x+a)^n)+2*B*ln(d*x+c)*a^2*d^2*n-2*B*ln(-b*x-a)*b^2*d^2*n*x^2+2*B*ln(d*x+c)*b^2*d^2*n*x^2-2*I*B*Pi*a*b*c*d*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-2*I*B*Pi*a*b*c*d*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b^2*c^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b^2*c^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b^2*c^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a^2*d^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*I*B*Pi*a*b*c*d*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-4*B*ln(-b*x-a)*a*b*d^2*n*x+4*B*ln(d*x+c)*a*b*d^2*n*x-I*B*Pi*a^2*d^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-2*I*B*Pi*a*b*c*d*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-4*B*ln(e)*a*b*c*d-I*B*Pi*b^2*c^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^2/(-a*d+b*c)^2/b","C"
154,1,1976,157,0.585000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^4,x)","\frac{B \ln \left(\left(d x +c \right)^{n}\right)}{3 \left(b x +a \right)^{3} b}-\frac{-6 B \,a^{3} d^{3} \ln \left(\left(b x +a \right)^{n}\right)+6 B \,b^{3} c^{3} \ln \left(\left(b x +a \right)^{n}\right)+6 A \,b^{3} c^{3}+2 B \,b^{3} c^{3} n -11 B \,a^{3} d^{3} n -6 A \,a^{3} d^{3}+9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+6 B \,b^{3} d^{3} n \,x^{3} \ln \left(-b x -a \right)-6 B \,b^{3} d^{3} n \,x^{3} \ln \left(d x +c \right)-9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+9 i \pi  B a \,b^{2} c^{2} d \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+9 i \pi  B a \,b^{2} c^{2} d \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-6 B \,a^{3} d^{3} \ln \left(e \right)+6 B \,b^{3} c^{3} \ln \left(e \right)-9 B a \,b^{2} c^{2} d n +18 B \,a^{2} b c \,d^{2} n +18 B a \,b^{2} d^{3} n \,x^{2} \ln \left(-b x -a \right)-18 B a \,b^{2} d^{3} n \,x^{2} \ln \left(d x +c \right)+18 B \,a^{2} b \,d^{3} n x \ln \left(-b x -a \right)-18 B \,a^{2} b \,d^{3} n x \ln \left(d x +c \right)+3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+18 B \,a^{2} b c \,d^{2} \ln \left(e \right)-18 B a \,b^{2} c^{2} d \ln \left(e \right)+18 B a \,b^{2} c \,d^{2} n x +9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+9 i \pi  B a \,b^{2} c^{2} d \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+6 B \,a^{3} d^{3} n \ln \left(-b x -a \right)-6 B \,a^{3} d^{3} n \ln \left(d x +c \right)+18 A \,a^{2} b c \,d^{2}-18 A a \,b^{2} c^{2} d -6 B a \,b^{2} d^{3} n \,x^{2}+6 B \,b^{3} c \,d^{2} n \,x^{2}-15 B \,a^{2} b \,d^{3} n x -9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-9 i \pi  B \,a^{2} b c \,d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-3 B \,b^{3} c^{2} d n x -3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-3 i \pi  B \,a^{3} d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+3 i \pi  B \,b^{3} c^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+18 B \,a^{2} b c \,d^{2} \ln \left(\left(b x +a \right)^{n}\right)-18 B a \,b^{2} c^{2} d \ln \left(\left(b x +a \right)^{n}\right)}{18 \left(b x +a \right)^{3} \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(-a d +b c \right) b}"," ",0,"1/3*B/b/(b*x+a)^3*ln((d*x+c)^n)-1/18*(-6*B*a^3*d^3*ln((b*x+a)^n)+6*B*b^3*c^3*ln((b*x+a)^n)+6*A*b^3*c^3+9*I*B*Pi*a^2*b*c*d^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+9*I*B*Pi*a^2*b*c*d^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+2*B*c^3*n*b^3-11*B*a^3*d^3*n-6*A*a^3*d^3+9*I*B*Pi*a*b^2*c^2*d*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+3*I*B*Pi*b^3*c^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3*I*B*Pi*b^3*c^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+3*I*B*Pi*b^3*c^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+6*B*ln(-b*x-a)*b^3*d^3*n*x^3-6*B*ln(d*x+c)*b^3*d^3*n*x^3+3*I*B*Pi*a^3*d^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-6*B*ln(e)*a^3*d^3+6*B*ln(e)*b^3*c^3-9*B*a*c^2*d*n*b^2+18*B*a^2*c*d^2*n*b+18*B*ln(-b*x-a)*a*b^2*d^3*n*x^2-18*B*ln(d*x+c)*a*b^2*d^3*n*x^2+18*B*ln(-b*x-a)*a^2*b*d^3*n*x-18*B*ln(d*x+c)*a^2*b*d^3*n*x+18*B*ln(e)*a^2*b*c*d^2-18*B*ln(e)*a*b^2*c^2*d+18*B*a*b^2*c*d^2*n*x-3*I*B*Pi*b^3*c^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-3*I*B*Pi*b^3*c^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-9*I*B*Pi*a^2*b*c*d^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-9*I*B*Pi*a^2*b*c*d^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+9*I*B*Pi*a*b^2*c^2*d*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-9*I*B*Pi*a*b^2*c^2*d*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-9*I*B*Pi*a*b^2*c^2*d*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-9*I*B*Pi*a*b^2*c^2*d*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-9*I*B*Pi*a*b^2*c^2*d*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-3*I*B*Pi*a^3*d^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-3*I*B*Pi*a^3*d^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-3*I*B*Pi*a^3*d^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+6*B*a^3*n*ln(-b*x-a)*d^3-6*B*ln(d*x+c)*a^3*d^3*n+18*A*a^2*b*c*d^2-18*A*a*b^2*c^2*d+3*I*B*Pi*b^3*c^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3*I*B*Pi*a^3*d^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-6*B*a*b^2*d^3*n*x^2+6*B*b^3*c*d^2*n*x^2-15*B*a^2*b*d^3*n*x+9*I*B*Pi*a^2*b*c*d^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+9*I*B*Pi*a^2*b*c*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-3*I*B*Pi*a^3*d^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-3*B*b^3*c^2*d*n*x+18*B*a^2*b*c*d^2*ln((b*x+a)^n)-18*B*a*b^2*c^2*d*ln((b*x+a)^n)+3*I*B*Pi*a^3*d^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+3*I*B*Pi*a^3*d^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-3*I*B*Pi*b^3*c^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-3*I*B*Pi*b^3*c^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-9*I*B*Pi*a^2*b*c*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-9*I*B*Pi*a^2*b*c*d^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+9*I*B*Pi*a*b^2*c^2*d*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+9*I*B*Pi*a*b^2*c^2*d*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3)/(b*x+a)^3/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(-a*d+b*c)/b","C"
155,1,2583,184,0.670000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^5,x)","\text{Expression too large to display}"," ",0,"1/4*B/b/(b*x+a)^4*ln((d*x+c)^n)+1/48*(-12*A*b^4*c^4-3*B*b^4*c^4*n-12*A*a^4*d^4-24*I*B*Pi*a*b^3*c^3*d*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-24*I*B*Pi*a*b^3*c^3*d*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-12*B*a^4*d^4*ln((b*x+a)^n)-12*B*b^4*c^4*ln((b*x+a)^n)+48*B*a*b^3*c^3*d*ln((b*x+a)^n)-36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-12*B*ln(e)*a^4*d^4-12*B*ln(e)*b^4*c^4+48*B*a^3*b*c*d^3*n-36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-6*I*B*Pi*b^4*c^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-6*I*B*Pi*b^4*c^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+48*B*a*b^3*c*d^3*n*x^2+72*B*a^2*b^2*c*d^3*n*x-24*B*a*b^3*c^2*d^2*n*x+6*I*B*Pi*b^4*c^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+6*I*B*Pi*b^4*c^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+24*I*B*Pi*a^3*b*c*d^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-6*I*B*Pi*a^4*d^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-6*I*B*Pi*a^4*d^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-6*I*B*Pi*a^4*d^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-48*B*ln(d*x+c)*a*b^3*d^4*n*x^3+48*B*ln(-b*x-a)*a*b^3*d^4*n*x^3-72*B*ln(d*x+c)*a^2*b^2*d^4*n*x^2+72*B*ln(-b*x-a)*a^2*b^2*d^4*n*x^2-48*B*ln(d*x+c)*a^3*b*d^4*n*x+48*B*ln(-b*x-a)*a^3*b*d^4*n*x-25*B*a^4*d^4*n+12*B*a^4*n*ln(-b*x-a)*d^4-12*B*ln(d*x+c)*a^4*d^4*n+6*I*B*Pi*a^4*d^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-24*I*B*Pi*a^3*b*c*d^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-24*I*B*Pi*a^3*b*c*d^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+48*B*ln(e)*a^3*b*c*d^3-72*B*ln(e)*a^2*b^2*c^2*d^2+48*B*ln(e)*a*b^3*c^3*d+48*A*a^3*b*c*d^3-72*A*a^2*b^2*c^2*d^2+48*A*a*b^3*c^3*d+6*I*B*Pi*a^4*d^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+24*I*B*Pi*a*b^3*c^3*d*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-24*I*B*Pi*a*b^3*c^3*d*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-24*I*B*Pi*a*b^3*c^3*d*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+24*I*B*Pi*a*b^3*c^3*d*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+6*I*B*Pi*a^4*d^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+6*I*B*Pi*a^4*d^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+6*I*B*Pi*b^4*c^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+6*I*B*Pi*b^4*c^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+48*B*a^3*b*c*d^3*ln((b*x+a)^n)-72*B*a^2*b^2*c^2*d^2*ln((b*x+a)^n)-6*I*B*Pi*b^4*c^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-6*I*B*Pi*b^4*c^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-6*I*B*Pi*a^4*d^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+24*I*B*Pi*a^3*b*c*d^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-24*I*B*Pi*a^3*b*c*d^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-24*I*B*Pi*a^3*b*c*d^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+24*I*B*Pi*a^3*b*c*d^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-36*B*a^2*b^2*c^2*d^2*n+16*B*a*b^3*c^3*d*n-12*B*a*b^3*d^4*n*x^3+12*B*b^4*c*d^3*n*x^3-42*B*a^2*b^2*d^4*n*x^2+36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+24*I*B*Pi*a^3*b*c*d^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-12*B*ln(d*x+c)*b^4*d^4*n*x^4+12*B*ln(-b*x-a)*b^4*d^4*n*x^4+36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+24*I*B*Pi*a*b^3*c^3*d*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+24*I*B*Pi*a*b^3*c^3*d*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-6*B*b^4*c^2*d^2*n*x^2-52*B*a^3*b*d^4*n*x+4*B*b^4*c^3*d*n*x-36*I*B*Pi*a^2*b^2*c^2*d^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2)/(b*x+a)^4/(-a^3*d^3+3*a^2*b*c*d^2-3*a*b^2*c^2*d+b^3*c^3)/(-a*d+b*c)/b","C"
156,1,26948,310,3.550000," ","int((b*x+a)^3*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
157,1,19969,253,2.841000," ","int((b*x+a)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
158,1,10210,193,2.093000," ","int((b*x+a)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
159,0,0,131,2.572000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{b x +a}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a),x)","F"
160,1,10098,129,2.253000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
161,1,17300,268,3.360000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
162,1,25057,419,4.703000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
163,1,33370,571,5.845000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^5,x)","\text{output too large to display}"," ",0,"result too large to display","C"
164,0,0,777,8.023000," ","int((b*x+a)^3*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(b x +a \right)^{3} \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((b*x+a)^3*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
165,0,0,610,7.008000," ","int((b*x+a)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(b x +a \right)^{2} \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((b*x+a)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
166,0,0,370,10.047000," ","int((b*x+a)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(b x +a \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((b*x+a)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
167,0,0,186,3.339000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{b x +a}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a),x)","F"
168,1,69354,184,20.955000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
169,1,120138,382,32.817000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
170,1,175812,597,48.030000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
171,1,236754,810,58.078000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^5,x)","\text{output too large to display}"," ",0,"result too large to display","C"
172,0,0,97,4.518000," ","int(1/(b*g*x+a*g)^2/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","F"
173,1,2930,168,0.145000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\text{output too large to display}"," ",0,"1/5*b^4*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*c^5-1/5/b*e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^5*d^5+1/5/b*B*g^4*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^5+1/4*e^4*B*g^4*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^4*c-1/3*e^3*B*g^4*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^4*c+1/2*e^2*B*g^4*d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^4*c+e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^4*c*d^4-1/20/b*e^4*B*g^4*d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^5-1/10/b*e^2*B*g^4*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^5+1/10*b^4*e^2*B*g^4/d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*c^5+1/20*b^4*e^4*B*g^4/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^5+b^3*B*g^4/d^4*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a*c^4+2*b*B*g^4/d^2*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^3*c^2-2*b^2*B*g^4/d^3*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^2*c^3+1/15/b*e^3*B*g^4*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^5-1/15*b^4*e^3*B*g^4/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*c^5-1/2*b*e^4*B*g^4*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^3*c^2-1/5/b*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^5*d^5+e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^4*d^4*c+1/2*b^2*e^4*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^2*c^3*d+2/3*b*e^3*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^3*c^2*d+1/3*b^3*e^3*B*g^4/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*c^4*a-1/2*b^3*e^2*B*g^4/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*c^4*a+b^2*e^2*B*g^4/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^2*c^3+b^3*e*B*g^4/d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*c^4*a-2*b*e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^3*c^2*d^3+2*b^2*e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^2*c^3*d^2-b^3*e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a*c^4*d+2*b*e*B*g^4/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^3*c^2-2*b^2*e*B*g^4/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^2*c^3-2/3*b^2*e^3*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^2*c^3-1/5*b^4*e*B*g^4/d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*c^5+1/5/b*e*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^5*d-1/4*b^3*e^4*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^4*a-b*e^2*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^3*c^2+42*b^3*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^6*c^4/(b*x+a)^5+9*b*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^8*c^2/(b*x+a)^5-2*b^8*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*c^9/(b*x+a)^5*a+9*b^7*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^2*c^8/(b*x+a)^5+42*b^5*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^4*c^6/(b*x+a)^5-24*b^6*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^3*c^7/(b*x+a)^5-24*b^2*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^7*c^3/(b*x+a)^5-2*b*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^3*c^2-2*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^9*c/(b*x+a)^5-b^3*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*c^4*a*d+1/5/b*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^5/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^10/(b*x+a)^5+1/5*b^9*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^5/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*c^10/(b*x+a)^5+2*b^2*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^2*c^3-252/5*b^4*e^5*B*g^4*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*a^5*c^5/(b*x+a)^5-e*B*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^4*c+1/5*b^4*e^5*A*g^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^5*c^5-B*g^4/d*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^4*c-1/5*b^4*B*g^4/d^5*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*c^5","B"
174,1,2191,139,0.138000," ","int((b*g*x+a*g)^3*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","-\frac{B \,a^{8} d^{4} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4} b}+\frac{2 B \,a^{7} c \,d^{3} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4}}-\frac{7 B \,a^{6} b \,c^{2} d^{2} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4}}+\frac{14 B \,a^{5} b^{2} c^{3} d \,e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4}}-\frac{35 B \,a^{4} b^{3} c^{4} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4}}+\frac{14 B \,a^{3} b^{4} c^{5} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4} d}-\frac{7 B \,a^{2} b^{5} c^{6} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4} d^{2}}+\frac{2 B a \,b^{6} c^{7} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4} d^{3}}-\frac{B \,b^{7} c^{8} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} \left(b x +a \right)^{4} d^{4}}+\frac{B \,a^{4} d^{4} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} b}-\frac{B \,a^{3} c \,d^{3} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{3 B \,a^{2} b \,c^{2} d^{2} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}-\frac{B a \,b^{2} c^{3} d \,e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{B \,b^{3} c^{4} e^{4} g^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{A \,a^{4} d^{4} e^{4} g^{3}}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4} b}-\frac{A \,a^{3} c \,d^{3} e^{4} g^{3}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{3 A \,a^{2} b \,c^{2} d^{2} e^{4} g^{3}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}-\frac{A a \,b^{2} c^{3} d \,e^{4} g^{3}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{A \,b^{3} c^{4} e^{4} g^{3}}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{4}}+\frac{B \,a^{4} d^{3} e^{3} g^{3}}{12 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} b}-\frac{B \,a^{3} c \,d^{2} e^{3} g^{3}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}+\frac{B \,a^{2} b \,c^{2} d \,e^{3} g^{3}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}-\frac{B a \,b^{2} c^{3} e^{3} g^{3}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}+\frac{B \,b^{3} c^{4} e^{3} g^{3}}{12 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} d}-\frac{B \,a^{4} d^{2} e^{2} g^{3}}{8 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} b}+\frac{B \,a^{3} c d \,e^{2} g^{3}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}-\frac{3 B \,a^{2} b \,c^{2} e^{2} g^{3}}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{B a \,b^{2} c^{3} e^{2} g^{3}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} d}-\frac{B \,b^{3} c^{4} e^{2} g^{3}}{8 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} d^{2}}+\frac{B \,a^{4} d e \,g^{3}}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) b}-\frac{B \,a^{3} c e \,g^{3}}{-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}}+\frac{3 B \,a^{2} b \,c^{2} e \,g^{3}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d}-\frac{B a \,b^{2} c^{3} e \,g^{3}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d^{2}}+\frac{B \,b^{3} c^{4} e \,g^{3}}{4 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d^{3}}+\frac{B \,a^{4} g^{3} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{4 b}-\frac{B \,a^{3} c \,g^{3} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{d}+\frac{3 B \,a^{2} b \,c^{2} g^{3} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{2 d^{2}}-\frac{B a \,b^{2} c^{3} g^{3} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{d^{3}}+\frac{B \,b^{3} c^{4} g^{3} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{4 d^{4}}"," ",0,"1/2*b^2*e^2*B*g^3/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a*c^3-e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^3*d^3*c+1/4/b*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^4*d^4+3/2*b*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^2*c^2*d^2-35/2*b^3*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^4/(b*x+a)^4*c^4-b^2*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^3*a*d-1/4*b^7*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^8/(b*x+a)^4+1/4/b*B*g^3*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^4-e*B*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^3*c-B*g^3/d*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^3*c+1/4*b^3*B*g^3/d^4*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*c^4+1/4*b^3*e^4*A*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^4-b^2*e^4*A*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^3*a*d+1/2*b*e^3*B*g^3*d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^2*c^2+3/2*b*e^4*A*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^2*c^2*d^2+3/2*b*e*B*g^3/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^2*c^2-b^2*e*B*g^3/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*c^3*a+1/4*b^3*e*B*g^3/d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*c^4+1/4*b^3*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^4+3/2*b*B*g^3/d^2*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a^2*c^2-1/8*b^3*e^2*B*g^3/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*c^4-3/4*b*e^2*B*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^2*c^2+2*b^6*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^7/(b*x+a)^4*a-7*b^5*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*c^6/(b*x+a)^4*a^2+14*b^4*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^3/(b*x+a)^4*c^5-7*b*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^6/(b*x+a)^4*c^2+14*b^2*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^5/(b*x+a)^4*c^3-1/3*e^3*B*g^3*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^3*c-e^4*A*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^3*d^3*c-1/4/b*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^4/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^8/(b*x+a)^4+2*e^4*B*g^3*ln(d*e/b-e*(a*d-b*c)/b/(b*x+a))*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^7/(b*x+a)^4*c-1/3*b^2*e^3*B*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a*c^3-1/8/b*e^2*B*g^3*d^2/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^4+1/12/b*e^3*B*g^3*d^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*a^4+1/2*e^2*B*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^2*a^3*c*d-b^2*B*g^3/d^3*ln(b*(d*e/b-e*(a*d-b*c)/b/(b*x+a))-d*e)*a*c^3+1/4/b*e*B*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)*a^4*d+1/12*b^3*e^3*B*g^3/d/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^3*c^4+1/4/b*e^4*A*g^3/(-e/(b*x+a)*a*d+b*e/(b*x+a)*c)^4*a^4*d^4","B"
175,1,1537,110,0.191000," ","int((b*g*x+a*g)^2*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{B \,a^{6} d^{3} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3} b}-\frac{2 B \,a^{5} c \,d^{2} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3}}+\frac{5 B \,a^{4} b \,c^{2} d \,e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3}}-\frac{20 B \,a^{3} b^{2} c^{3} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3}}+\frac{5 B \,a^{2} b^{3} c^{4} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3} d}-\frac{2 B a \,b^{4} c^{5} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3} d^{2}}+\frac{B \,b^{5} c^{6} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} \left(b x +a \right)^{3} d^{3}}-\frac{B \,a^{3} d^{3} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} b}+\frac{B \,a^{2} c \,d^{2} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}-\frac{B a b \,c^{2} d \,e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}+\frac{B \,b^{2} c^{3} e^{3} g^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}-\frac{A \,a^{3} d^{3} e^{3} g^{2}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3} b}+\frac{A \,a^{2} c \,d^{2} e^{3} g^{2}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}-\frac{A a b \,c^{2} d \,e^{3} g^{2}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}+\frac{A \,b^{2} c^{3} e^{3} g^{2}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{3}}-\frac{B \,a^{3} d^{2} e^{2} g^{2}}{6 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} b}+\frac{B \,a^{2} c d \,e^{2} g^{2}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}-\frac{B a b \,c^{2} e^{2} g^{2}}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{B \,b^{2} c^{3} e^{2} g^{2}}{6 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} d}+\frac{B \,a^{3} d e \,g^{2}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) b}-\frac{B \,a^{2} c e \,g^{2}}{-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}}+\frac{B a b \,c^{2} e \,g^{2}}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d}-\frac{B \,b^{2} c^{3} e \,g^{2}}{3 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d^{2}}+\frac{B \,a^{3} g^{2} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{3 b}-\frac{B \,a^{2} c \,g^{2} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{d}+\frac{B a b \,c^{2} g^{2} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{d^{2}}-\frac{B \,b^{2} c^{3} g^{2} \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{3 d^{3}}"," ",0,"-1/6/b*e^2*B*g^2*d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^3+e^3*A*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^2*c*d^2+1/2*e^2*B*g^2*d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^2*c+1/3*b^2*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*c^3+b*B*g^2/d^2*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a*c^2-1/2*b*e^2*B*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*c^2*a+1/3/b*e*B*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*a^3*d-1/3*b^2*e*B*g^2/d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*c^3+1/6*b^2*e^2*B*g^2/d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*c^3-1/3/b*e^3*A*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^3*d^3+1/3/b*B*g^2*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a^3-b*e^3*A*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a*c^2*d+b*e*B*g^2/d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*a*c^2-1/3/b*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^3+e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^2*c-e*B*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*a^2*c+1/3*b^2*e^3*A*g^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*c^3-1/3*b^2*B*g^2/d^3*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*c^3-B*g^2/d*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a^2*c+5*b*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^4/(b*x+a)^3*c^2+5*b^3*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^2/(b*x+a)^3*c^4-2*b^4*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*c^5/(b*x+a)^3*a+1/3*b^5*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/d^3/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*c^6/(b*x+a)^3-b*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*c^2*a*d-20/3*b^2*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^3/(b*x+a)^3*c^3-2*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^5/(b*x+a)^3*c+1/3/b*e^3*B*g^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^3*a^6/(b*x+a)^3","B"
176,1,951,75,0.139000," ","int((b*g*x+a*g)*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","-\frac{B \,a^{4} d^{2} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} \left(b x +a \right)^{2} b}+\frac{2 B \,a^{3} c d \,e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} \left(b x +a \right)^{2}}-\frac{3 B \,a^{2} b \,c^{2} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} \left(b x +a \right)^{2}}+\frac{2 B a \,b^{2} c^{3} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} \left(b x +a \right)^{2} d}-\frac{B \,b^{3} c^{4} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} \left(b x +a \right)^{2} d^{2}}+\frac{B \,a^{2} d^{2} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} b}-\frac{B a c d \,e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{B b \,c^{2} e^{2} g \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{A \,a^{2} d^{2} e^{2} g}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2} b}-\frac{A a c d \,e^{2} g}{\left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{A b \,c^{2} e^{2} g}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right)^{2}}+\frac{B \,a^{2} d e g}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) b}-\frac{B a c e g}{-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}}+\frac{B b \,c^{2} e g}{2 \left(-\frac{a d e}{b x +a}+\frac{b c e}{b x +a}\right) d}+\frac{B \,a^{2} g \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{2 b}-\frac{B a c g \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{d}+\frac{B b \,c^{2} g \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{2 d^{2}}"," ",0,"1/2/b*e^2*A*g/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^2*d^2-e^2*A*g/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a*d*c+1/2*b*e^2*A*g/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*c^2+1/2/b*B*g*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a^2-B*g/d*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a*c+1/2*b*B*g/d^2*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*c^2+1/2/b*e*B*g/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*a^2*d-e*B*g/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*a*c+1/2*b*e*B*g/d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)*c^2+1/2/b*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^2-e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a*c-1/2/b*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^4/(b*x+a)^2+2*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^3/(b*x+a)^2*c-3*b*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a^2/(b*x+a)^2*c^2+2*b^2*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/d/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*a/(b*x+a)^2*c^3+1/2*b*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*c^2-1/2*b^3*e^2*B*g*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/d^2/(-1/(b*x+a)*a*d*e+1/(b*x+a)*b*c*e)^2*c^4/(b*x+a)^2","B"
177,1,419,80,0.056000," ","int((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g),x)","-\frac{B a d \ln \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) b g}+\frac{B c \ln \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) g}-\frac{A a d \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{\left(a d -b c \right) b g}+\frac{A c \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{\left(a d -b c \right) g}-\frac{B a d \dilog \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) b g}+\frac{B c \dilog \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) g}"," ",0,"-1/b/g/(a*d-b*c)*A*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a*d+1/g/(a*d-b*c)*A*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*c-1/b/g/(a*d-b*c)*B*dilog(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*a*d+1/g/(a*d-b*c)*B*dilog(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*c-1/b/g/(a*d-b*c)*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*ln(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*a*d+1/g/(a*d-b*c)*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*ln(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*c","B"
178,1,520,63,0.046000," ","int((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^2,x)","-\frac{B \,a^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{2 B a c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{B b \,c^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{A \,a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{2 A a c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{A b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{B \,a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{B a \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{2 B a c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{B b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{B c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} g^{2}}+\frac{A a \,d^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{A c d}{\left(a d -b c \right)^{2} g^{2}}-\frac{B a \,d^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}+\frac{B c d}{\left(a d -b c \right)^{2} g^{2}}"," ",0,"1/b/(a*d-b*c)^2/g^2*A*d^2*a-1/(a*d-b*c)^2/g^2*A*d*c-1/b/(a*d-b*c)^2/g^2*A/(b*x+a)*a^2*d^2+2/(a*d-b*c)^2/g^2*A/(b*x+a)*a*d*c-b/(a*d-b*c)^2/g^2*A/(b*x+a)*c^2+1/b/(a*d-b*c)^2/g^2*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*a-1/(a*d-b*c)^2/g^2*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d*c-1/b/(a*d-b*c)^2/g^2*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a^2*d^2+2/(a*d-b*c)^2/g^2*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a*d*c-b/(a*d-b*c)^2/g^2*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*c^2+1/b/(a*d-b*c)^2/g^2*B/(b*x+a)*a^2*d^2-2/(a*d-b*c)^2/g^2*B/(b*x+a)*a*d*c+b/(a*d-b*c)^2/g^2*B/(b*x+a)*c^2-1/b/(a*d-b*c)^2/g^2*B*d^2*a+1/(a*d-b*c)^2/g^2*B*d*c","B"
179,1,753,137,0.051000," ","int((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^3,x)","-\frac{B \,a^{3} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{3 B \,a^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 B a b \,c^{2} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B \,b^{2} c^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{A \,a^{3} d^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{3 A \,a^{2} c \,d^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 A a b \,c^{2} d}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{A \,b^{2} c^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B \,a^{3} d^{3}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}-\frac{3 B \,a^{2} c \,d^{2}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{3 B a b \,c^{2} d}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{B \,b^{2} c^{3}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B \,a^{2} d^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{3}}+\frac{B a \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} b \,g^{3}}-\frac{B a c \,d^{2}}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}+\frac{B b \,c^{2} d}{2 \left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}-\frac{B c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} g^{3}}+\frac{A a \,d^{3}}{2 \left(a d -b c \right)^{3} b \,g^{3}}-\frac{A c \,d^{2}}{2 \left(a d -b c \right)^{3} g^{3}}-\frac{3 B a \,d^{3}}{4 \left(a d -b c \right)^{3} b \,g^{3}}+\frac{3 B c \,d^{2}}{4 \left(a d -b c \right)^{3} g^{3}}"," ",0,"-1/2/b/(a*d-b*c)^3/g^3*A/(b*x+a)^2*a^3*d^3+1/2/b/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3*a-1/2/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*c+1/4/b/(a*d-b*c)^3/g^3*B/(b*x+a)^2*a^3*d^3+1/2/b/(a*d-b*c)^3/g^3*B*d^3/(b*x+a)*a^2+1/2*b^2/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*c^3+1/2*b/(a*d-b*c)^3/g^3*B*d/(b*x+a)*c^2-3/2*b/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a*d*c^2+3/2/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^2*d^2*c+1/2/b/(a*d-b*c)^3/g^3*A*d^3*a-1/2/(a*d-b*c)^3/g^3*A*d^2*c-3/4/b/(a*d-b*c)^3/g^3*B*d^3*a+3/4/(a*d-b*c)^3/g^3*B*d^2*c-1/4*b^2/(a*d-b*c)^3/g^3*B/(b*x+a)^2*c^3+1/2*b^2/(a*d-b*c)^3/g^3*A/(b*x+a)^2*c^3+3/2/(a*d-b*c)^3/g^3*A/(b*x+a)^2*a^2*d^2*c-3/2*b/(a*d-b*c)^3/g^3*A/(b*x+a)^2*a*d*c^2-1/(a*d-b*c)^3/g^3*B*d^2/(b*x+a)*c*a-3/4/(a*d-b*c)^3/g^3*B/(b*x+a)^2*a^2*d^2*c+3/4*b/(a*d-b*c)^3/g^3*B/(b*x+a)^2*c^2*a*d-1/2/b/(a*d-b*c)^3/g^3*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^3*d^3","B"
180,1,1012,166,0.050000," ","int((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^4,x)","-\frac{B \,a^{4} d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{4}}+\frac{4 B \,a^{3} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{2 B \,a^{2} b \,c^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{4 B a \,b^{2} c^{3} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{B \,b^{3} c^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{A \,a^{4} d^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{4}}+\frac{4 A \,a^{3} c \,d^{3}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{2 A \,a^{2} b \,c^{2} d^{2}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{4 A a \,b^{2} c^{3} d}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{A \,b^{3} c^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{B \,a^{4} d^{4}}{9 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{4}}-\frac{4 B \,a^{3} c \,d^{3}}{9 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{2 B \,a^{2} b \,c^{2} d^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{4 B a \,b^{2} c^{3} d}{9 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{B \,b^{3} c^{4}}{9 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{B \,a^{3} d^{4}}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} b \,g^{4}}-\frac{B \,a^{2} c \,d^{3}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{B a b \,c^{2} d^{2}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}-\frac{B \,b^{2} c^{3} d}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{B \,a^{2} d^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{4}}+\frac{B a \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{2 B a c \,d^{3}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}+\frac{B b \,c^{2} d^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}-\frac{B c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} g^{4}}+\frac{A a \,d^{4}}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{A c \,d^{3}}{3 \left(a d -b c \right)^{4} g^{4}}-\frac{11 B a \,d^{4}}{18 \left(a d -b c \right)^{4} b \,g^{4}}+\frac{11 B c \,d^{3}}{18 \left(a d -b c \right)^{4} g^{4}}"," ",0,"1/3/b/(a*d-b*c)^4/g^4*A*d^4*a+4/3/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^3*a^3*d^3*c-1/3/b/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^3*a^4*d^4+1/2*b/(a*d-b*c)^4/g^4*B*d^2/(b*x+a)^2*c^2*a-4/9*b^2/(a*d-b*c)^4/g^4*B/(b*x+a)^3*c^3*a*d-1/3/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3*c-1/3*b^3/(a*d-b*c)^4/g^4*A/(b*x+a)^3*c^4+1/9*b^3/(a*d-b*c)^4/g^4*B/(b*x+a)^3*c^4+2/3*b/(a*d-b*c)^4/g^4*B/(b*x+a)^3*a^2*d^2*c^2-2*b/(a*d-b*c)^4/g^4*A/(b*x+a)^3*a^2*d^2*c^2+4/3*b^2/(a*d-b*c)^4/g^4*A/(b*x+a)^3*a*d*c^3+11/18/(a*d-b*c)^4/g^4*B*d^3*c+1/9/b/(a*d-b*c)^4/g^4*B/(b*x+a)^3*a^4*d^4-1/3/b/(a*d-b*c)^4/g^4*A/(b*x+a)^3*a^4*d^4+1/3*b/(a*d-b*c)^4/g^4*B*d^2/(b*x+a)*c^2+1/6/b/(a*d-b*c)^4/g^4*B*d^4/(b*x+a)^2*a^3-1/6*b^2/(a*d-b*c)^4/g^4*B*d/(b*x+a)^2*c^3+1/3/b/(a*d-b*c)^4/g^4*B*d^4/(b*x+a)*a^2+4/3/(a*d-b*c)^4/g^4*A/(b*x+a)^3*a^3*d^3*c+1/3/b/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4*a-1/3*b^3/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^3*c^4-4/9/(a*d-b*c)^4/g^4*B/(b*x+a)^3*a^3*d^3*c-2/3/(a*d-b*c)^4/g^4*B*d^3/(b*x+a)*c*a-1/2/(a*d-b*c)^4/g^4*B*d^3/(b*x+a)^2*a^2*c-1/3/(a*d-b*c)^4/g^4*A*d^3*c-11/18/b/(a*d-b*c)^4/g^4*B*d^4*a-2*b/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^3*a^2*d^2*c^2+4/3*b^2/(a*d-b*c)^4/g^4*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^3*c^3*a*d","B"
181,1,1306,195,0.055000," ","int((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^5,x)","-\frac{B \,a^{5} d^{5} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} b \,g^{5}}+\frac{5 B \,a^{4} c \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{5 B \,a^{3} b \,c^{2} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{5 B \,a^{2} b^{2} c^{3} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{5 B a \,b^{3} c^{4} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{B \,b^{4} c^{5} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{A \,a^{5} d^{5}}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} b \,g^{5}}+\frac{5 A \,a^{4} c \,d^{4}}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{5 A \,a^{3} b \,c^{2} d^{3}}{2 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{5 A \,a^{2} b^{2} c^{3} d^{2}}{2 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{5 A a \,b^{3} c^{4} d}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{A \,b^{4} c^{5}}{4 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{B \,a^{5} d^{5}}{16 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} b \,g^{5}}-\frac{5 B \,a^{4} c \,d^{4}}{16 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{5 B \,a^{3} b \,c^{2} d^{3}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{5 B \,a^{2} b^{2} c^{3} d^{2}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{5 B a \,b^{3} c^{4} d}{16 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}-\frac{B \,b^{4} c^{5}}{16 \left(a d -b c \right)^{5} \left(b x +a \right)^{4} g^{5}}+\frac{B \,a^{4} d^{5}}{12 \left(a d -b c \right)^{5} \left(b x +a \right)^{3} b \,g^{5}}-\frac{B \,a^{3} c \,d^{4}}{3 \left(a d -b c \right)^{5} \left(b x +a \right)^{3} g^{5}}+\frac{B \,a^{2} b \,c^{2} d^{3}}{2 \left(a d -b c \right)^{5} \left(b x +a \right)^{3} g^{5}}-\frac{B a \,b^{2} c^{3} d^{2}}{3 \left(a d -b c \right)^{5} \left(b x +a \right)^{3} g^{5}}+\frac{B \,b^{3} c^{4} d}{12 \left(a d -b c \right)^{5} \left(b x +a \right)^{3} g^{5}}+\frac{B \,a^{3} d^{5}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{2} b \,g^{5}}-\frac{3 B \,a^{2} c \,d^{4}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{2} g^{5}}+\frac{3 B a b \,c^{2} d^{3}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{2} g^{5}}-\frac{B \,b^{2} c^{3} d^{2}}{8 \left(a d -b c \right)^{5} \left(b x +a \right)^{2} g^{5}}+\frac{B \,a^{2} d^{5}}{4 \left(a d -b c \right)^{5} \left(b x +a \right) b \,g^{5}}+\frac{B a \,d^{5} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} b \,g^{5}}-\frac{B a c \,d^{4}}{2 \left(a d -b c \right)^{5} \left(b x +a \right) g^{5}}+\frac{B b \,c^{2} d^{3}}{4 \left(a d -b c \right)^{5} \left(b x +a \right) g^{5}}-\frac{B c \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{4 \left(a d -b c \right)^{5} g^{5}}+\frac{A a \,d^{5}}{4 \left(a d -b c \right)^{5} b \,g^{5}}-\frac{A c \,d^{4}}{4 \left(a d -b c \right)^{5} g^{5}}-\frac{25 B a \,d^{5}}{48 \left(a d -b c \right)^{5} b \,g^{5}}+\frac{25 B c \,d^{4}}{48 \left(a d -b c \right)^{5} g^{5}}"," ",0,"-5/4*b^3/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a*d*c^4+5/4/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^4*d^4*c-1/4/b/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^5*d^5-1/3*b^2/(a*d-b*c)^5/g^5*B*d^2/(b*x+a)^3*c^3*a-5/8*b^2/(a*d-b*c)^5/g^5*B/(b*x+a)^4*a^2*d^2*c^3+5/16*b^3/(a*d-b*c)^5/g^5*B/(b*x+a)^4*a*d*c^4-1/4/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4*c-1/16*b^4/(a*d-b*c)^5/g^5*B/(b*x+a)^4*c^5+1/4*b^4/(a*d-b*c)^5/g^5*A/(b*x+a)^4*c^5+5/2*b^2/(a*d-b*c)^5/g^5*A/(b*x+a)^4*a^2*d^2*c^3+3/8*b/(a*d-b*c)^5/g^5*B*d^3/(b*x+a)^2*c^2*a+5/8*b/(a*d-b*c)^5/g^5*B/(b*x+a)^4*a^3*d^3*c^2-5/4*b^3/(a*d-b*c)^5/g^5*A/(b*x+a)^4*c^4*a*d+1/2*b/(a*d-b*c)^5/g^5*B*d^3/(b*x+a)^3*a^2*c^2-5/2*b/(a*d-b*c)^5/g^5*A/(b*x+a)^4*a^3*d^3*c^2+1/4/b/(a*d-b*c)^5/g^5*A*d^5*a-1/4/(a*d-b*c)^5/g^5*A*d^4*c-25/48/b/(a*d-b*c)^5/g^5*B*d^5*a+25/48/(a*d-b*c)^5/g^5*B*d^4*c-1/4/b/(a*d-b*c)^5/g^5*A/(b*x+a)^4*a^5*d^5+1/8/b/(a*d-b*c)^5/g^5*B*d^5/(b*x+a)^2*a^3+1/12*b^3/(a*d-b*c)^5/g^5*B*d/(b*x+a)^3*c^4+1/4/b/(a*d-b*c)^5/g^5*B*d^5/(b*x+a)*a^2-5/16/(a*d-b*c)^5/g^5*B/(b*x+a)^4*a^4*d^4*c+5/2*b^2/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^2*d^2*c^3-5/2*b/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^3*d^3*c^2+1/16/b/(a*d-b*c)^5/g^5*B/(b*x+a)^4*a^5*d^5-1/8*b^2/(a*d-b*c)^5/g^5*B*d^2/(b*x+a)^2*c^3+1/12/b/(a*d-b*c)^5/g^5*B*d^5/(b*x+a)^3*a^4+5/4/(a*d-b*c)^5/g^5*A/(b*x+a)^4*a^4*d^4*c+1/4/b/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5*a+1/4*b^4/(a*d-b*c)^5/g^5*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*c^5-3/8/(a*d-b*c)^5/g^5*B*d^4/(b*x+a)^2*a^2*c-1/2/(a*d-b*c)^5/g^5*B*d^4/(b*x+a)*a*c-1/3/(a*d-b*c)^5/g^5*B*d^4/(b*x+a)^3*a^3*c+1/4*b/(a*d-b*c)^5/g^5*B*d^3/(b*x+a)*c^2","B"
182,0,0,479,2.199000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)/(b*x+a)))^2,x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)/(b*x+a)))^2,x)","F"
183,0,0,400,1.980000," ","int((b*g*x+a*g)^3*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
184,0,0,321,1.814000," ","int((b*g*x+a*g)^2*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
185,0,0,200,1.526000," ","int((b*g*x+a*g)*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
186,1,906,127,0.057000," ","int((B*ln((d*x+c)/(b*x+a)*e)+A)^2/(b*g*x+a*g),x)","-\frac{B^{2} a d \ln \left(-\frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}+1\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right) b g}+\frac{B^{2} c \ln \left(-\frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}+1\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right) g}-\frac{2 A B a d \ln \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) b g}+\frac{2 A B c \ln \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) g}-\frac{2 B^{2} a d \polylog \left(2, \frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) b g}+\frac{2 B^{2} c \polylog \left(2, \frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right) \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) g}-\frac{A^{2} a d \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{\left(a d -b c \right) b g}+\frac{A^{2} c \ln \left(-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b \right)}{\left(a d -b c \right) g}-\frac{2 A B a d \dilog \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) b g}+\frac{2 A B c \dilog \left(-\frac{-d e +\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} a d \polylog \left(3, \frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) b g}-\frac{2 B^{2} c \polylog \left(3, \frac{\left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right) b}{d e}\right)}{\left(a d -b c \right) g}"," ",0,"-1/b/g/(a*d-b*c)*A^2*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*a*d+1/g/(a*d-b*c)*A^2*ln(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)*c-1/b/g/(a*d-b*c)*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*ln(1-b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*a*d+1/g/(a*d-b*c)*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*ln(1-b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*c-2/b/g/(a*d-b*c)*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*polylog(2,b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*a*d+2/g/(a*d-b*c)*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*polylog(2,b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*c+2/b/g/(a*d-b*c)*B^2*polylog(3,b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*a*d-2/g/(a*d-b*c)*B^2*polylog(3,b/d/e*(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e))*c-2/b/g/(a*d-b*c)*A*B*dilog(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*a*d+2/g/(a*d-b*c)*A*B*dilog(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*c-2/b/g/(a*d-b*c)*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*ln(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*a*d+2/g/(a*d-b*c)*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*ln(-(-d*e+(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*b)/d/e)*c","B"
187,1,1251,153,0.050000," ","int((B*ln((d*x+c)/(b*x+a)*e)+A)^2/(b*g*x+a*g)^2,x)","-\frac{B^{2} a^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{2 B^{2} a c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{B^{2} b \,c^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{2 A B \,a^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{4 A B a c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{2 A B b \,c^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{2 B^{2} a^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{B^{2} a \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{4 B^{2} a c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{2 B^{2} b \,c^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{B^{2} c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{2} g^{2}}-\frac{A^{2} a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{2 A^{2} a c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{A^{2} b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{2 A B \,a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}+\frac{2 A B a \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{4 A B a c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{2 A B b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{2 A B c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} g^{2}}-\frac{2 B^{2} a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{2}}-\frac{2 B^{2} a \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} b \,g^{2}}+\frac{4 B^{2} a c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}-\frac{2 B^{2} b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{2}}+\frac{2 B^{2} c d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{2} g^{2}}+\frac{A^{2} a \,d^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{A^{2} c d}{\left(a d -b c \right)^{2} g^{2}}-\frac{2 A B a \,d^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}+\frac{2 A B c d}{\left(a d -b c \right)^{2} g^{2}}+\frac{2 B^{2} a \,d^{2}}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{2 B^{2} c d}{\left(a d -b c \right)^{2} g^{2}}"," ",0,"-2*b/(a*d-b*c)^2/g^2*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*c^2-1/b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)*a^2*d^2-2/b/(a*d-b*c)^2/g^2*A*B*d^2*a+2/(a*d-b*c)^2/g^2*A*B*d*c-1/b/(a*d-b*c)^2/g^2*A^2/(b*x+a)*a^2*d^2+2*b/(a*d-b*c)^2/g^2*A*B/(b*x+a)*c^2+2/b/(a*d-b*c)^2/g^2*B^2*d^2*a-2/(a*d-b*c)^2/g^2*B^2*d*c+1/b/(a*d-b*c)^2/g^2*A^2*d^2*a-1/(a*d-b*c)^2/g^2*A^2*d*c-2*b/(a*d-b*c)^2/g^2*B^2/(b*x+a)*c^2-b/(a*d-b*c)^2/g^2*A^2/(b*x+a)*c^2+2/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d*c-1/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d*c-2/b/(a*d-b*c)^2/g^2*B^2/(b*x+a)*a^2*d^2+4/(a*d-b*c)^2/g^2*B^2/(b*x+a)*a*d*c+2/(a*d-b*c)^2/g^2*A^2/(b*x+a)*a*d*c+2*b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*c^2-2/(a*d-b*c)^2/g^2*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d*c+1/b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d^2*a-b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)*c^2-2/b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*a-4/(a*d-b*c)^2/g^2*A*B/(b*x+a)*a*d*c+2/b/(a*d-b*c)^2/g^2*A*B/(b*x+a)*a^2*d^2-4/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a*d*c+2/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)*a*d*c+2/b/(a*d-b*c)^2/g^2*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a^2*d^2+2/b/(a*d-b*c)^2/g^2*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*a+4/(a*d-b*c)^2/g^2*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a*d*c-2/b/(a*d-b*c)^2/g^2*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)*a^2*d^2","B"
188,1,1934,290,0.051000," ","int((B*ln((d*x+c)/(b*x+a)*e)+A)^2/(b*g*x+a*g)^3,x)","-\frac{B^{2} a^{3} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{3 B^{2} a^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 B^{2} a b \,c^{2} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B^{2} b^{2} c^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{A B \,a^{3} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{3 A B \,a^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 A B a b \,c^{2} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{A B \,b^{2} c^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B^{2} a^{3} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}-\frac{3 B^{2} a^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{3 B^{2} a b \,c^{2} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{B^{2} b^{2} c^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{A^{2} a^{3} d^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{3 A^{2} a^{2} c \,d^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 A^{2} a b \,c^{2} d}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{A^{2} b^{2} c^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{A B \,a^{3} d^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}-\frac{3 A B \,a^{2} c \,d^{2}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{3 A B a b \,c^{2} d}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{A B \,b^{2} c^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{B^{2} a^{3} d^{3}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{3}}+\frac{B^{2} a^{2} d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{3}}+\frac{3 B^{2} a^{2} c \,d^{2}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}-\frac{3 B^{2} a b \,c^{2} d}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B^{2} a \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} b \,g^{3}}-\frac{2 B^{2} a c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}+\frac{B^{2} b^{2} c^{3}}{4 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{3}}+\frac{B^{2} b \,c^{2} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}-\frac{B^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{2 \left(a d -b c \right)^{3} g^{3}}+\frac{A B \,a^{2} d^{3}}{\left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{3}}+\frac{A B a \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} b \,g^{3}}-\frac{2 A B a c \,d^{2}}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}+\frac{A B b \,c^{2} d}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}-\frac{A B c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{3} g^{3}}-\frac{3 B^{2} a^{2} d^{3}}{2 \left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{3}}-\frac{3 B^{2} a \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} b \,g^{3}}+\frac{3 B^{2} a c \,d^{2}}{\left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}-\frac{3 B^{2} b \,c^{2} d}{2 \left(a d -b c \right)^{3} \left(b x +a \right) g^{3}}+\frac{3 B^{2} c \,d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{2 \left(a d -b c \right)^{3} g^{3}}+\frac{A^{2} a \,d^{3}}{2 \left(a d -b c \right)^{3} b \,g^{3}}-\frac{A^{2} c \,d^{2}}{2 \left(a d -b c \right)^{3} g^{3}}-\frac{3 A B a \,d^{3}}{2 \left(a d -b c \right)^{3} b \,g^{3}}+\frac{3 A B c \,d^{2}}{2 \left(a d -b c \right)^{3} g^{3}}+\frac{7 B^{2} a \,d^{3}}{4 \left(a d -b c \right)^{3} b \,g^{3}}-\frac{7 B^{2} c \,d^{2}}{4 \left(a d -b c \right)^{3} g^{3}}"," ",0,"b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d/(b*x+a)*c^2-1/2/b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^2*a^3*d^3+3/2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^2*a^2*d^2*c-2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(b*x+a)*a*c-3/2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^2*d^2*c-3/4*b/(a*d-b*c)^3/g^3*B^2/(b*x+a)^2*a*d*c^2+b/(a*d-b*c)^3/g^3*A*B*d/(b*x+a)*c^2+1/2/b/(a*d-b*c)^3/g^3*A*B/(b*x+a)^2*a^3*d^3+1/b/(a*d-b*c)^3/g^3*A*B*d^3/(b*x+a)*a^2-3/2*b/(a*d-b*c)^3/g^3*A^2/(b*x+a)^2*a*d*c^2-2/(a*d-b*c)^3/g^3*A*B*d^2/(b*x+a)*c*a+1/2/b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^3*d^3+b^2/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*c^3-1/2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d^2*c+3/2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*c+1/2*b^2/(a*d-b*c)^3/g^3*A^2/(b*x+a)^2*c^3+1/4*b^2/(a*d-b*c)^3/g^3*B^2/(b*x+a)^2*c^3-3/2/(a*d-b*c)^3/g^3*A*B/(b*x+a)^2*a^2*d^2*c-1/4/b/(a*d-b*c)^3/g^3*B^2/(b*x+a)^2*a^3*d^3-3/2/b/(a*d-b*c)^3/g^3*B^2*d^3/(b*x+a)*a^2+3/2/(a*d-b*c)^3/g^3*A^2/(b*x+a)^2*a^2*d^2*c+3/4/(a*d-b*c)^3/g^3*B^2/(b*x+a)^2*a^2*d^2*c-1/2/b/(a*d-b*c)^3/g^3*A^2/(b*x+a)^2*a^3*d^3-3/2*b/(a*d-b*c)^3/g^3*B^2*d/(b*x+a)*c^2-1/2*b^2/(a*d-b*c)^3/g^3*A*B/(b*x+a)^2*c^3+1/2*b^2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^2*c^3-3/2/b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3*a+1/2/b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d^3*a-1/2*b^2/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*c^3-1/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2*c+1/2/b/(a*d-b*c)^3/g^3*A^2*d^3*a+1/b/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3*a+1/b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(b*x+a)*a^2+7/4/b/(a*d-b*c)^3/g^3*B^2*d^3*a-7/4/(a*d-b*c)^3/g^3*B^2*d^2*c+3/(a*d-b*c)^3/g^3*B^2*d^2/(b*x+a)*a*c-1/2/(a*d-b*c)^3/g^3*A^2*d^2*c-3/2/b/(a*d-b*c)^3/g^3*A*B*d^3*a+3/2/(a*d-b*c)^3/g^3*A*B*d^2*c+3/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^2*d^2*c-3/2*b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^2*a*d*c^2-1/b/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a^3*d^3+3/2*b/(a*d-b*c)^3/g^3*A*B/(b*x+a)^2*c^2*a*d+3/2*b/(a*d-b*c)^3/g^3*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*a*d*c^2-3*b/(a*d-b*c)^3/g^3*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^2*c^2*a*d","B"
189,1,2758,387,0.051000," ","int((B*ln((d*x+c)/(b*x+a)*e)+A)^2/(b*g*x+a*g)^4,x)","-\frac{B^{2} a^{4} d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{4}}+\frac{4 B^{2} a^{3} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{2 B^{2} a^{2} b \,c^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{4 B^{2} a \,b^{2} c^{3} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{B^{2} b^{3} c^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{2 A B \,a^{4} d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{4}}+\frac{8 A B \,a^{3} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{4 A B \,a^{2} b \,c^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{8 A B a \,b^{2} c^{3} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{2 A B \,b^{3} c^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{2 B^{2} a^{4} d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a 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\,g^{4}}+\frac{8 B^{2} a^{3} c \,d^{3}}{27 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{4 B^{2} a^{2} b \,c^{2} d^{2}}{9 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{B^{2} a^{2} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{8 B^{2} a \,b^{2} c^{3} d}{27 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}+\frac{B^{2} a b \,c^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{\left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}-\frac{2 B^{2} b^{3} c^{4}}{27 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{4}}-\frac{B^{2} b^{2} c^{3} d \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{A B \,a^{3} d^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} b \,g^{4}}-\frac{A B \,a^{2} c \,d^{3}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{A B a b \,c^{2} d^{2}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}-\frac{A B \,b^{2} c^{3} d}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}-\frac{5 B^{2} a^{3} d^{4}}{18 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} b \,g^{4}}+\frac{2 B^{2} a^{2} d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{4}}+\frac{5 B^{2} a^{2} c \,d^{3}}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}-\frac{5 B^{2} a b \,c^{2} d^{2}}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{B^{2} a \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{4 B^{2} a c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}+\frac{5 B^{2} b^{2} c^{3} d}{18 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{4}}+\frac{2 B^{2} b \,c^{2} d^{2} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}-\frac{B^{2} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)^{2}}{3 \left(a d -b c \right)^{4} g^{4}}+\frac{2 A B \,a^{2} d^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{4}}+\frac{2 A B a \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{4 A B a c \,d^{3}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}+\frac{2 A B b \,c^{2} d^{2}}{3 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}-\frac{2 A B c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{3 \left(a d -b c \right)^{4} g^{4}}-\frac{11 B^{2} a^{2} d^{4}}{9 \left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{4}}-\frac{11 B^{2} a \,d^{4} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{9 \left(a d -b c \right)^{4} b \,g^{4}}+\frac{22 B^{2} a c \,d^{3}}{9 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}-\frac{11 B^{2} b \,c^{2} d^{2}}{9 \left(a d -b c \right)^{4} \left(b x +a \right) g^{4}}+\frac{11 B^{2} c \,d^{3} \ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)}{9 \left(a d -b c \right)^{4} g^{4}}+\frac{A^{2} a \,d^{4}}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{A^{2} c \,d^{3}}{3 \left(a d -b c \right)^{4} g^{4}}-\frac{11 A B a \,d^{4}}{9 \left(a d -b c \right)^{4} b \,g^{4}}+\frac{11 A B c \,d^{3}}{9 \left(a d -b c \right)^{4} g^{4}}+\frac{85 B^{2} a \,d^{4}}{54 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{85 B^{2} c \,d^{3}}{54 \left(a d -b c \right)^{4} g^{4}}"," 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190,1,3717,480,0.052000," ","int((B*ln((d*x+c)/(b*x+a)*e)+A)^2/(b*g*x+a*g)^5,x)","\text{output too large to display}"," ",0,"-1/4/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d^4*c+25/24/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4*c+1/32*b^4/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*c^5+1/4*b^4/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*c^5-5/8/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^4*d^4*c-7/72/b/(a*d-b*c)^5/g^5*B^2*d^5/(b*x+a)^3*a^4-1/8*b^4/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*c^5-1/4/b/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*a^5*d^5-1/4/(a*d-b*c)^5/g^5*A^2*d^4*c+1/4/b/(a*d-b*c)^5/g^5*A^2*d^5*a+415/288/b/(a*d-b*c)^5/g^5*B^2*d^5*a-2/3/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4/(b*x+a)^3*a^3*c-13/16*b/(a*d-b*c)^5/g^5*B^2*d^3/(b*x+a)^2*c^2*a-7/12*b/(a*d-b*c)^5/g^5*B^2*d^3/(b*x+a)^3*a^2*c^2+5/16*b^2/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*a^2*d^2*c^3-5/32*b^3/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*a*d*c^4+1/4/b/(a*d-b*c)^5/g^5*A*B*d^5/(b*x+a)^2*a^3+1/2/b/(a*d-b*c)^5/g^5*A*B*d^5/(b*x+a)*a^2+1/8/b/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*a^5*d^5-1/4*b^2/(a*d-b*c)^5/g^5*A*B*d^2/(b*x+a)^2*c^3-5/16*b/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*a^3*d^3*c^2+1/2*b/(a*d-b*c)^5/g^5*A*B*d^3/(b*x+a)*c^2-3/4/(a*d-b*c)^5/g^5*A*B*d^4/(b*x+a)^2*a^2*c-2/3/(a*d-b*c)^5/g^5*A*B*d^4/(b*x+a)^3*a^3*c-415/288/(a*d-b*c)^5/g^5*B^2*d^4*c+25/24/(a*d-b*c)^5/g^5*A*B*d^4*c-25/24/b/(a*d-b*c)^5/g^5*A*B*d^5*a-3/4/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4/(b*x+a)^2*a^2*c-1/(a*d-b*c)^5/g^5*A*B*d^4/(b*x+a)*a*c+5/2*b^2/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*a^2*d^2*c^3+5/2/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^4*d^4*c+5/8*b^3/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a*d*c^4-5/4*b^2/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^2*d^2*c^3+3/4*b/(a*d-b*c)^5/g^5*A*B*d^3/(b*x+a)^2*a*c^2-5/2*b^3/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a*d*c^4+5/32/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*a^4*d^4*c+7/18/(a*d-b*c)^5/g^5*B^2*d^4/(b*x+a)^3*a^3*c+7/18*b^2/(a*d-b*c)^5/g^5*B^2*d^2/(b*x+a)^3*c^3*a-5/4*b^3/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*a*d*c^4+1/6*b^3/(a*d-b*c)^5/g^5*A*B*d/(b*x+a)^3*c^4+1/6/b/(a*d-b*c)^5/g^5*A*B*d^5/(b*x+a)^3*a^4+5/2*b^2/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*a^2*d^2*c^3-5/8/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*a^4*d^4*c-5/2*b/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*a^3*d^3*c^2-1/4*b^2/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(b*x+a)^2*c^3-1/4/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*a^5*d^5+1/8/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^5*d^5-5*b/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^3*d^3*c^2+5*b^2/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^2*d^2*c^3+b/(a*d-b*c)^5/g^5*A*B*d^3/(b*x+a)^3*a^2*c^2+3/4*b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(b*x+a)^2*a*c^2+b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(b*x+a)^3*a^2*c^2-1/2/b/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^5*d^5+5/4/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*a^4*d^4*c+1/2/b/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5*a-1/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4/(b*x+a)*c*a+1/2*b^4/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*c^5+1/6/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5/(b*x+a)^3*a^4+1/2*b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^3/(b*x+a)*c^2+1/4/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5/(b*x+a)^2*a^3+1/6*b^3/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d/(b*x+a)^3*c^4+1/2/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5/(b*x+a)*a^2-25/24/b/(a*d-b*c)^5/g^5*B^2*d^5/(b*x+a)*a^2-13/48/b/(a*d-b*c)^5/g^5*B^2*d^5/(b*x+a)^2*a^3+13/48*b^2/(a*d-b*c)^5/g^5*B^2*d^2/(b*x+a)^2*c^3+5/4/(a*d-b*c)^5/g^5*A^2/(b*x+a)^4*a^4*d^4*c+25/12/(a*d-b*c)^5/g^5*B^2*d^4/(b*x+a)*a*c+13/16/(a*d-b*c)^5/g^5*B^2*d^4/(b*x+a)^2*a^2*c-25/24/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^5*a+1/4*b^4/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*c^5-1/2/(a*d-b*c)^5/g^5*A*B*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^4*c-5/4*b^3/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*c^4*a*d-5/2*b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2/(b*x+a)^4*a^3*d^3*c^2-2/3*b^2/(a*d-b*c)^5/g^5*A*B*d^2/(b*x+a)^3*a*c^3-25/24*b/(a*d-b*c)^5/g^5*B^2*d^3/(b*x+a)*c^2-1/8*b^4/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*c^5+1/4/b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)^2*d^5*a-7/72*b^3/(a*d-b*c)^5/g^5*B^2*d/(b*x+a)^3*c^4-1/32/b/(a*d-b*c)^5/g^5*B^2/(b*x+a)^4*a^5*d^5-5/4*b^2/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*a^2*d^2*c^3-2/3*b^2/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)*d^2/(b*x+a)^3*a*c^3+5/4*b/(a*d-b*c)^5/g^5*B^2*ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)/(b*x+a)^4*a^3*d^3*c^2+5/8*b^3/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*a*d*c^4+5/4*b/(a*d-b*c)^5/g^5*A*B/(b*x+a)^4*a^3*d^3*c^2","B"
191,0,0,34,1.171000," ","int((b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","\int \frac{\left(b g x +a g \right)^{2}}{B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","F"
192,0,0,32,0.932000," ","int((b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","\int \frac{b g x +a g}{B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","F"
193,0,0,34,1.096000," ","int(1/(b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","F"
194,1,69,53,0.533000," ","int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","-\frac{\Ei \left(1, -\ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)-\frac{A}{B}\right) {\mathrm e}^{-\frac{A}{B}}}{\left(a d -b c \right) B e \,g^{2}}"," ",0,"-1/e/(a*d-b*c)/g^2/B*exp(-A/B)*Ei(1,-ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)-A/B)","A"
195,0,0,110,1.149000," ","int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)/(b*x+a)*e)+A),x)","F"
196,0,0,34,1.066000," ","int((b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{2}}{\left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
197,0,0,32,1.122000," ","int((b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \frac{b g x +a g}{\left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
198,0,0,34,0.976000," ","int(1/(b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
199,1,258,104,0.452000," ","int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\frac{a d}{\left(a d -b c \right) \left(\ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)+\frac{A}{B}\right) \left(b x +a \right) B^{2} b \,g^{2}}-\frac{c}{\left(a d -b c \right) \left(\ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)+\frac{A}{B}\right) \left(b x +a \right) B^{2} g^{2}}-\frac{\Ei \left(1, -\ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)-\frac{A}{B}\right) {\mathrm e}^{-\frac{A}{B}}}{\left(a d -b c \right) B^{2} e \,g^{2}}-\frac{d}{\left(a d -b c \right) \left(\ln \left(\frac{d e}{b}-\frac{\left(a d -b c \right) e}{\left(b x +a \right) b}\right)+\frac{A}{B}\right) B^{2} b \,g^{2}}"," ",0,"-1/(a*d-b*c)/g^2/B^2/(ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)+A/B)/b*d+1/(a*d-b*c)/g^2/B^2/(ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)+A/B)/b/(b*x+a)*a*d-1/(a*d-b*c)/g^2/B^2/(ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)+A/B)/(b*x+a)*c-1/e/(a*d-b*c)/g^2/B^2*exp(-A/B)*Ei(1,-ln(1/b*d*e-(a*d-b*c)/(b*x+a)/b*e)-A/B)","B"
200,0,0,160,1.493000," ","int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right) e}{b x +a}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)/(b*x+a)*e)+A)^2,x)","F"
201,1,1030,170,0.132000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2)),x)","\frac{B \,b^{4} g^{4} x^{5} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{5}+\frac{A \,b^{4} g^{4} x^{5}}{5}+B a \,b^{3} g^{4} x^{4} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)+A a \,b^{3} g^{4} x^{4}+2 B \,a^{2} b^{2} g^{4} x^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)-\frac{B a \,b^{3} g^{4} x^{4}}{10}+\frac{B \,b^{4} c \,g^{4} x^{4}}{10 d}+2 A \,a^{2} b^{2} g^{4} x^{3}+2 B \,a^{3} b \,g^{4} x^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)-\frac{8 B \,a^{2} b^{2} g^{4} x^{3}}{15}+\frac{2 B a \,b^{3} c \,g^{4} x^{3}}{3 d}-\frac{2 B \,b^{4} c^{2} g^{4} x^{3}}{15 d^{2}}+2 A \,a^{3} b \,g^{4} x^{2}+B \,a^{4} g^{4} x \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)-\frac{6 B \,a^{3} b \,g^{4} x^{2}}{5}+\frac{2 B \,a^{2} b^{2} c \,g^{4} x^{2}}{d}-\frac{B a \,b^{3} c^{2} g^{4} x^{2}}{d^{2}}+\frac{B \,b^{4} c^{3} g^{4} x^{2}}{5 d^{3}}+A \,a^{4} g^{4} x +\frac{2 B \,a^{5} g^{4} \ln \left(\frac{1}{b x +a}\right)}{5 b}+\frac{B \,a^{5} g^{4} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{5 b}-\frac{2 B \,a^{5} g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{5 b}-\frac{2 B \,a^{4} c \,g^{4} \ln \left(\frac{1}{b x +a}\right)}{d}+\frac{2 B \,a^{4} c \,g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d}-\frac{8 B \,a^{4} g^{4} x}{5}+\frac{4 B \,a^{3} b \,c^{2} g^{4} \ln \left(\frac{1}{b x +a}\right)}{d^{2}}-\frac{4 B \,a^{3} b \,c^{2} g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{2}}+\frac{4 B \,a^{3} b c \,g^{4} x}{d}-\frac{4 B \,a^{2} b^{2} c^{3} g^{4} \ln \left(\frac{1}{b x +a}\right)}{d^{3}}+\frac{4 B \,a^{2} b^{2} c^{3} g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{3}}-\frac{4 B \,a^{2} b^{2} c^{2} g^{4} x}{d^{2}}+\frac{2 B a \,b^{3} c^{4} g^{4} \ln \left(\frac{1}{b x +a}\right)}{d^{4}}-\frac{2 B a \,b^{3} c^{4} g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{4}}+\frac{2 B a \,b^{3} c^{3} g^{4} x}{d^{3}}-\frac{2 B \,b^{4} c^{5} g^{4} \ln \left(\frac{1}{b x +a}\right)}{5 d^{5}}+\frac{2 B \,b^{4} c^{5} g^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{5 d^{5}}-\frac{2 B \,b^{4} c^{4} g^{4} x}{5 d^{4}}+\frac{A \,a^{5} g^{4}}{5 b}-\frac{5 B \,a^{5} g^{4}}{6 b}+\frac{77 B \,a^{4} c \,g^{4}}{30 d}-\frac{47 B \,a^{3} b \,c^{2} g^{4}}{15 d^{2}}+\frac{9 B \,a^{2} b^{2} c^{3} g^{4}}{5 d^{3}}-\frac{2 B a \,b^{3} c^{4} g^{4}}{5 d^{4}}"," ",0,"-5/6/b*g^4*B*a^5+1/5/b*A*a^5*g^4+1/5*b^4*A*x^5*g^4-8/5*B*x*a^4*g^4-2/5/b*g^4*B*a^5*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)+1/5*b^4*B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*x^5*g^4+1/5/b*B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*a^5*g^4+B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*x*a^4*g^4+2/5/b*g^4*B*a^5*ln(1/(b*x+a))-8/15*b^2*B*x^3*a^2*g^4-6/5*b*B*x^2*a^3*g^4+b^3*A*x^4*a*g^4+2*b^2*A*x^3*a^2*g^4+2*b*A*x^2*a^3*g^4-1/10*b^3*B*x^4*a*g^4+2*b^2*B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*x^3*a^2*g^4+2*b*B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*x^2*a^3*g^4+2*g^4*B*a^4/d*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)*c-2*g^4*B*a^4/d*ln(1/(b*x+a))*c+A*a^4*g^4*x+9/5*b^2*g^4*B*c^3/d^3*a^2-47/15*b*g^4*B*c^2/d^2*a^3-2/5*b^3*g^4*B*c^4/d^4*a+77/30*g^4*B*c/d*a^4+1/5*b^4*g^4*B*c^3/d^3*x^2-2/15*b^4*g^4*B*c^2/d^2*x^3-2/5*b^4*g^4*B*c^4/d^4*x+1/10*b^4*g^4*B*c/d*x^4-2/5*b^4*g^4*B*c^5/d^5*ln(1/(b*x+a))+2/5*b^4*g^4*B*c^5/d^5*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)+b^3*B*ln(e*(a/(b*x+a)*d-1/(b*x+a)*b*c-d)^2/b^2)*x^4*a*g^4-4*b*g^4*B*a^3/d^2*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)*c^2+4*b*g^4*B*a^3/d^2*ln(1/(b*x+a))*c^2+4*b*g^4*B*c/d*x*a^3+2*b^3*g^4*B*a/d^4*ln(1/(b*x+a))*c^4-4*b^2*g^4*B*a^2/d^3*ln(1/(b*x+a))*c^3+4*b^2*g^4*B*a^2/d^3*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)*c^3-2*b^3*g^4*B*a/d^4*ln(a/(b*x+a)*d-1/(b*x+a)*b*c-d)*c^4-b^3*g^4*B*c^2/d^2*x^2*a-4*b^2*g^4*B*c^2/d^2*x*a^2+2*b^3*g^4*B*c^3/d^3*x*a+2/3*b^3*g^4*B*c/d*x^3*a+2*b^2*g^4*B*c/d*x^2*a^2","B"
202,1,788,141,0.066000," ","int((b*g*x+a*g)^3*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2)),x)","\frac{B \,b^{3} g^{3} x^{4} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{4}+\frac{A \,b^{3} g^{3} x^{4}}{4}+B a \,b^{2} g^{3} x^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)+A a \,b^{2} g^{3} x^{3}+\frac{3 B \,a^{2} b \,g^{3} x^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2}-\frac{B a \,b^{2} g^{3} x^{3}}{6}+\frac{B \,b^{3} c \,g^{3} x^{3}}{6 d}+\frac{3 A \,a^{2} b \,g^{3} x^{2}}{2}+B \,a^{3} g^{3} x \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)-\frac{3 B \,a^{2} b \,g^{3} x^{2}}{4}+\frac{B a \,b^{2} c \,g^{3} x^{2}}{d}-\frac{B \,b^{3} c^{2} g^{3} x^{2}}{4 d^{2}}+A \,a^{3} g^{3} x +\frac{B \,a^{4} g^{3} \ln \left(\frac{1}{b x +a}\right)}{2 b}+\frac{B \,a^{4} g^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{4 b}-\frac{B \,a^{4} g^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{2 b}-\frac{2 B \,a^{3} c \,g^{3} \ln \left(\frac{1}{b x +a}\right)}{d}+\frac{2 B \,a^{3} c \,g^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d}-\frac{3 B \,a^{3} g^{3} x}{2}+\frac{3 B \,a^{2} b \,c^{2} g^{3} \ln \left(\frac{1}{b x +a}\right)}{d^{2}}-\frac{3 B \,a^{2} b \,c^{2} g^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{2}}+\frac{3 B \,a^{2} b c \,g^{3} x}{d}-\frac{2 B a \,b^{2} c^{3} g^{3} \ln \left(\frac{1}{b x +a}\right)}{d^{3}}+\frac{2 B a \,b^{2} c^{3} g^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{3}}-\frac{2 B a \,b^{2} c^{2} g^{3} x}{d^{2}}+\frac{B \,b^{3} c^{4} g^{3} \ln \left(\frac{1}{b x +a}\right)}{2 d^{4}}-\frac{B \,b^{3} c^{4} g^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{2 d^{4}}+\frac{B \,b^{3} c^{3} g^{3} x}{2 d^{3}}+\frac{A \,a^{4} g^{3}}{4 b}-\frac{11 B \,a^{4} g^{3}}{12 b}+\frac{13 B \,a^{3} c \,g^{3}}{6 d}-\frac{7 B \,a^{2} b \,c^{2} g^{3}}{4 d^{2}}+\frac{B a \,b^{2} c^{3} g^{3}}{2 d^{3}}"," ",0,"-3/2*B*x*a^3*g^3+1/4/b*A*a^4*g^3-11/12/b*B*a^4*g^3+1/4*b^3*A*x^4*g^3+A*x*a^3*g^3+B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x*a^3*g^3-1/6*b^2*B*x^3*a*g^3-3/4*b*B*x^2*a^2*g^3+3/2*b*A*x^2*a^2*g^3+1/4*b^3*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^4*g^3-1/2/b*g^3*B*a^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)+1/4/b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*a^4*g^3+1/2/b*g^3*B*a^4*ln(1/(b*x+a))+b^2*A*x^3*a*g^3+3/2*b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^2*a^2*g^3+13/6*g^3*B*c/d*a^3-7/4*b*g^3*B*c^2/d^2*a^2+1/2*b^2*g^3*B*c^3/d^3*a+1/6*b^3*g^3*B*c/d*x^3-1/4*b^3*g^3*B*c^2/d^2*x^2+1/2*b^3*g^3*B*c^3/d^3*x-1/2*b^3*g^3*B*c^4/d^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)+1/2*b^3*g^3*B*c^4/d^4*ln(1/(b*x+a))+b^2*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^3*a*g^3+2*g^3*B*a^3/d*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c-2*g^3*B*a^3/d*ln(1/(b*x+a))*c-2*b^2*g^3*B*a/d^3*ln(1/(b*x+a))*c^3+3*b*g^3*B*a^2/d^2*ln(1/(b*x+a))*c^2-3*b*g^3*B*a^2/d^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c^2+2*b^2*g^3*B*a/d^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c^3+b^2*g^3*B*c/d*x^2*a+3*b*g^3*B*c/d*x*a^2-2*b^2*g^3*B*c^2/d^2*x*a","B"
203,1,569,112,0.066000," ","int((b*g*x+a*g)^2*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2)),x)","\frac{B \,b^{2} g^{2} x^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3}+\frac{A \,b^{2} g^{2} x^{3}}{3}+B a b \,g^{2} x^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)+A a b \,g^{2} x^{2}+B \,a^{2} g^{2} x \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)-\frac{B a b \,g^{2} x^{2}}{3}+\frac{B \,b^{2} c \,g^{2} x^{2}}{3 d}+A \,a^{2} g^{2} x +\frac{2 B \,a^{3} g^{2} \ln \left(\frac{1}{b x +a}\right)}{3 b}+\frac{B \,a^{3} g^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 b}-\frac{2 B \,a^{3} g^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 b}-\frac{2 B \,a^{2} c \,g^{2} \ln \left(\frac{1}{b x +a}\right)}{d}+\frac{2 B \,a^{2} c \,g^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d}-\frac{4 B \,a^{2} g^{2} x}{3}+\frac{2 B a b \,c^{2} g^{2} \ln \left(\frac{1}{b x +a}\right)}{d^{2}}-\frac{2 B a b \,c^{2} g^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{2}}+\frac{2 B a b c \,g^{2} x}{d}-\frac{2 B \,b^{2} c^{3} g^{2} \ln \left(\frac{1}{b x +a}\right)}{3 d^{3}}+\frac{2 B \,b^{2} c^{3} g^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 d^{3}}-\frac{2 B \,b^{2} c^{2} g^{2} x}{3 d^{2}}+\frac{A \,a^{3} g^{2}}{3 b}-\frac{B \,a^{3} g^{2}}{b}+\frac{5 B \,a^{2} c \,g^{2}}{3 d}-\frac{2 B a b \,c^{2} g^{2}}{3 d^{2}}"," ",0,"5/3*B*a^2*c/d*g^2+2/3/b*g^2*B*a^3*ln(1/(b*x+a))+1/3*A*b^2*g^2*x^3-2/3*B*a*b*c^2/d^2*g^2-2/3*b^2*g^2*B*c^3/d^3*ln(1/(b*x+a))+2*B*a*b*c/d*g^2*x+2*b*g^2*B*a/d^2*ln(1/(b*x+a))*c^2-2*g^2*B*a^2/d*ln(1/(b*x+a))*c+1/3*b^2*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^3*g^2+b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^2*a*g^2+B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x*a^2*g^2+1/3/b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*a^3*g^2-2/3/b*g^2*B*a^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)+2/3*b^2*g^2*B*c^3/d^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)-1/3*B*a*b*g^2*x^2+A*a*b*g^2*x^2+A*a^2*g^2*x-4/3*B*a^2*g^2*x+1/3/b*A*a^3*g^2-1/b*g^2*B*a^3-2/3*B*b^2*c^2/d^2*g^2*x+1/3*B*b^2*c/d*g^2*x^2+2*g^2*B*a^2/d*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c-2*b*g^2*B*a/d^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c^2","B"
204,1,340,76,0.064000," ","int((b*g*x+a*g)*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2)),x)","\frac{B b g \,x^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2}+\frac{A b g \,x^{2}}{2}+B a g x \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)+A a g x +\frac{B \,a^{2} g \ln \left(\frac{1}{b x +a}\right)}{b}+\frac{B \,a^{2} g \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2 b}-\frac{B \,a^{2} g \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{b}-\frac{2 B a c g \ln \left(\frac{1}{b x +a}\right)}{d}+\frac{2 B a c g \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d}-B a g x +\frac{B b \,c^{2} g \ln \left(\frac{1}{b x +a}\right)}{d^{2}}-\frac{B b \,c^{2} g \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{d^{2}}+\frac{B b c g x}{d}+\frac{A \,a^{2} g}{2 b}-\frac{B \,a^{2} g}{b}+\frac{B a c g}{d}"," ",0,"1/2*b*A*x^2*g+A*x*a*g+1/2/b*A*a^2*g+1/2*b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x^2*g+B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*x*a*g+1/2/b*B*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)*a^2*g-1/b*g*B*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a^2+2*g*B/d*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a*c-b*g*B/d^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c^2+1/b*g*B*ln(1/(b*x+a))*a^2-2*g*B/d*ln(1/(b*x+a))*a*c+b*g*B/d^2*ln(1/(b*x+a))*c^2-B*x*a*g-1/b*g*B*a^2+b*g*B/d*c*x+g*B/d*a*c","B"
205,1,265,82,0.064000," ","int((A+B*ln(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g),x)","\frac{2 B a d \ln \left(\frac{1}{b x +a}\right) \ln \left(-\frac{-d +\frac{a d -b c}{b x +a}}{d}\right)}{\left(a d -b c \right) b g}-\frac{2 B c \ln \left(\frac{1}{b x +a}\right) \ln \left(-\frac{-d +\frac{a d -b c}{b x +a}}{d}\right)}{\left(a d -b c \right) g}+\frac{2 B a d \dilog \left(-\frac{-d +\frac{a d -b c}{b x +a}}{d}\right)}{\left(a d -b c \right) b g}-\frac{2 B c \dilog \left(-\frac{-d +\frac{a d -b c}{b x +a}}{d}\right)}{\left(a d -b c \right) g}-\frac{B \ln \left(\frac{1}{b x +a}\right) \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{b g}-\frac{A \ln \left(\frac{1}{b x +a}\right)}{b g}"," ",0,"-1/b/g*A*ln(1/(b*x+a))-1/b/g*B*ln(1/(b*x+a))*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+2/b/g*B*dilog(-(1/(b*x+a)*(a*d-b*c)-d)/d)/(a*d-b*c)*a*d-2/g*B*dilog(-(1/(b*x+a)*(a*d-b*c)-d)/d)/(a*d-b*c)*c+2/b/g*B*ln(1/(b*x+a))*ln(-(1/(b*x+a)*(a*d-b*c)-d)/d)/(a*d-b*c)*a*d-2/g*B*ln(1/(b*x+a))*ln(-(1/(b*x+a)*(a*d-b*c)-d)/d)/(a*d-b*c)*c","B"
206,1,212,102,0.054000," ","int((A+B*ln(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^2,x)","\frac{2 B a \,d^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{2 B c d \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{2} g^{2}}+\frac{2 B a d}{\left(a d -b c \right) \left(b x +a \right) b \,g^{2}}-\frac{2 B c}{\left(a d -b c \right) \left(b x +a \right) g^{2}}-\frac{B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(b x +a \right) b \,g^{2}}-\frac{A}{\left(b x +a \right) b \,g^{2}}"," ",0,"-1/b/g^2*A/(b*x+a)-1/b/g^2*B/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+2/b/g^2*B/(a*d-b*c)/(b*x+a)*a*d-2/g^2*B/(a*d-b*c)/(b*x+a)*c+2/b/g^2*B*d^2/(a*d-b*c)^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a-2/g^2*B*d/(a*d-b*c)^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c","B"
207,1,300,138,0.056000," ","int((A+B*ln(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^3,x)","\frac{B a \,d^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{3} b \,g^{3}}-\frac{B c \,d^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{3} g^{3}}+\frac{B \,a^{2} d^{2}}{2 \left(a d -b c \right)^{2} \left(b x +a \right)^{2} b \,g^{3}}-\frac{B a c d}{\left(a d -b c \right)^{2} \left(b x +a \right)^{2} g^{3}}+\frac{B b \,c^{2}}{2 \left(a d -b c \right)^{2} \left(b x +a \right)^{2} g^{3}}+\frac{B a \,d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{3}}-\frac{B c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{3}}-\frac{B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2 \left(b x +a \right)^{2} b \,g^{3}}-\frac{A}{2 \left(b x +a \right)^{2} b \,g^{3}}"," ",0,"-1/2/b/(b*x+a)^2/g^3*A-1/2/b/g^3*B/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/2/b/g^3*B/(a*d-b*c)^2/(b*x+a)^2*a^2*d^2-1/g^3*B/(a*d-b*c)^2/(b*x+a)^2*a*d*c+1/2*b/g^3*B/(a*d-b*c)^2/(b*x+a)^2*c^2+1/b/g^3*B/(a*d-b*c)^2/(b*x+a)*d^2*a-1/g^3*B/(a*d-b*c)^2/(b*x+a)*d*c+1/b/g^3*B*d^3/(a*d-b*c)^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a-1/g^3*B*d^2/(a*d-b*c)^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c","B"
208,1,427,168,0.055000," ","int((A+B*ln(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^4,x)","\frac{2 B \,a^{3} d^{3}}{9 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} b \,g^{4}}-\frac{2 B \,a^{2} c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}+\frac{2 B a b \,c^{2} d}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}+\frac{2 B a \,d^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{2 B \,b^{2} c^{3}}{9 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}-\frac{2 B c \,d^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 \left(a d -b c \right)^{4} g^{4}}+\frac{B \,a^{2} d^{3}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{4}}-\frac{2 B a c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{4}}+\frac{B b \,c^{2} d}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{4}}+\frac{2 B a \,d^{3}}{3 \left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{4}}-\frac{2 B c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right) g^{4}}-\frac{B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 \left(b x +a \right)^{3} b \,g^{4}}-\frac{A}{3 \left(b x +a \right)^{3} b \,g^{4}}"," ",0,"-1/3/b/(b*x+a)^3/g^4*A-1/3/b/g^4*B/(b*x+a)^3*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+2/9/b/g^4*B*a^3*d^3/(a*d-b*c)^3/(b*x+a)^3-2/3/g^4*B*a^2*d^2/(a*d-b*c)^3/(b*x+a)^3*c+2/3*b/g^4*B*a*d/(a*d-b*c)^3/(b*x+a)^3*c^2+1/3/b/g^4*B*a^2*d^3/(a*d-b*c)^3/(b*x+a)^2-2/3/g^4*B*a*d^2/(a*d-b*c)^3/(b*x+a)^2*c+2/3/b/g^4*B*a*d^3/(a*d-b*c)^3/(b*x+a)+2/3/b/g^4*B*a*d^4/(a*d-b*c)^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)-2/9*b^2/g^4*B*c^3/(a*d-b*c)^3/(b*x+a)^3+1/3*b/g^4*B*c^2/(a*d-b*c)^3/(b*x+a)^2*d-2/3/g^4*B*c/(a*d-b*c)^3/(b*x+a)*d^2-2/3/g^4*B*c*d^3/(a*d-b*c)^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)","B"
209,1,587,197,0.059000," ","int((A+B*ln(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^5,x)","\frac{B \,a^{4} d^{4}}{8 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} b \,g^{5}}-\frac{B \,a^{3} c \,d^{3}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{3 B \,a^{2} b \,c^{2} d^{2}}{4 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}-\frac{B a \,b^{2} c^{3} d}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{B \,b^{3} c^{4}}{8 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{B \,a^{3} d^{4}}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{5}}-\frac{B \,a^{2} c \,d^{3}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}+\frac{B a b \,c^{2} d^{2}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}+\frac{B a \,d^{5} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{2 \left(a d -b c \right)^{5} b \,g^{5}}-\frac{B \,b^{2} c^{3} d}{6 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}-\frac{B c \,d^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{2 \left(a d -b c \right)^{5} g^{5}}+\frac{B \,a^{2} d^{4}}{4 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} b \,g^{5}}-\frac{B a c \,d^{3}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{5}}+\frac{B b \,c^{2} d^{2}}{4 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{5}}+\frac{B a \,d^{4}}{2 \left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{5}}-\frac{B c \,d^{3}}{2 \left(a d -b c \right)^{4} \left(b x +a \right) g^{5}}-\frac{B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{4 \left(b x +a \right)^{4} b \,g^{5}}-\frac{A}{4 \left(b x +a \right)^{4} b \,g^{5}}"," ",0,"-1/4/b/(b*x+a)^4/g^5*A-1/4/b/g^5*B/(b*x+a)^4*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/8/b/g^5*B*a^4*d^4/(a*d-b*c)^4/(b*x+a)^4-1/2/g^5*B*a^3*d^3/(a*d-b*c)^4/(b*x+a)^4*c+3/4*b/g^5*B*a^2*d^2/(a*d-b*c)^4/(b*x+a)^4*c^2-1/2*b^2/g^5*B*a*d/(a*d-b*c)^4/(b*x+a)^4*c^3+1/6/b/g^5*B*a^3*d^4/(a*d-b*c)^4/(b*x+a)^3-1/2/g^5*B*a^2*d^3/(a*d-b*c)^4/(b*x+a)^3*c+1/2*b/g^5*B*a*d^2/(a*d-b*c)^4/(b*x+a)^3*c^2+1/4/b/g^5*B*a^2*d^4/(a*d-b*c)^4/(b*x+a)^2-1/2/g^5*B*a*d^3/(a*d-b*c)^4/(b*x+a)^2*c+1/2/b/g^5*B*a*d^4/(a*d-b*c)^4/(b*x+a)+1/2/b/g^5*B*a*d^5/(a*d-b*c)^5*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)+1/8*b^3/g^5*B*c^4/(a*d-b*c)^4/(b*x+a)^4-1/6*b^2/g^5*B*c^3/(a*d-b*c)^4/(b*x+a)^3*d+1/4*b/g^5*B*c^2/(a*d-b*c)^4/(b*x+a)^2*d^2-1/2/g^5*B*c/(a*d-b*c)^4/(b*x+a)*d^3-1/2/g^5*B*c*d^4/(a*d-b*c)^5*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)","B"
210,0,0,491,1.359000," ","int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2))^2,x)","\int \left(b g x +a g \right)^{4} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^4*(A+B*ln(e*(d*x+c)^2/(b*x+a)^2))^2,x)","F"
211,0,0,408,1.237000," ","int((b*g*x+a*g)^3*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
212,0,0,329,1.146000," ","int((b*g*x+a*g)^2*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
213,0,0,209,0.925000," ","int((b*g*x+a*g)*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
214,0,0,131,1.000000," ","int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g),x)","F"
215,1,452,157,0.063000," ","int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g)^2,x)","\frac{4 A B a \,d^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{2} b \,g^{2}}-\frac{4 A B c d \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{2} g^{2}}+\frac{B^{2} d \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{\left(a d -b c \right) b \,g^{2}}+\frac{4 A B a d}{\left(a d -b c \right) \left(b x +a \right) b \,g^{2}}-\frac{4 A B c}{\left(a d -b c \right) \left(b x +a \right) g^{2}}-\frac{4 B^{2} d \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(a d -b c \right) b \,g^{2}}-\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{\left(b x +a \right) b \,g^{2}}-\frac{2 A B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(b x +a \right) b \,g^{2}}+\frac{4 B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(b x +a \right) b \,g^{2}}-\frac{A^{2}}{\left(b x +a \right) b \,g^{2}}-\frac{8 B^{2}}{\left(b x +a \right) b \,g^{2}}"," ",0,"-1/b/g^2*A^2/(b*x+a)-1/b/g^2/(b*x+a)*B^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2-8/b/g^2*B^2/(b*x+a)+4/b/g^2*B^2/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-4/b/g^2*B^2*d/(a*d-b*c)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/b/g^2*B^2*d/(a*d-b*c)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2-2/b/g^2*A*B/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+4/b/g^2*A*B/(a*d-b*c)/(b*x+a)*a*d-4/g^2*A*B/(a*d-b*c)/(b*x+a)*c+4/b/g^2*A*B*d^2/(a*d-b*c)^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a-4/g^2*A*B*d/(a*d-b*c)^2*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c","B"
216,1,664,297,0.064000," ","int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g)^3,x)","\frac{2 A B a \,d^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{3} b \,g^{3}}-\frac{2 A B c \,d^{2} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{3} g^{3}}+\frac{A B \,a^{2} d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right)^{2} b \,g^{3}}-\frac{2 A B a c d}{\left(a d -b c \right)^{2} \left(b x +a \right)^{2} g^{3}}+\frac{A B b \,c^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right)^{2} g^{3}}+\frac{B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{2 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b \,g^{3}}+\frac{2 A B a \,d^{2}}{\left(a d -b c \right)^{2} \left(b x +a \right) b \,g^{3}}-\frac{2 A B c d}{\left(a d -b c \right)^{2} \left(b x +a \right) g^{3}}-\frac{3 B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b \,g^{3}}+\frac{2 B^{2} d \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(a d -b c \right) \left(b x +a \right) b \,g^{3}}-\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{2 \left(b x +a \right)^{2} b \,g^{3}}-\frac{A B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(b x +a \right)^{2} b \,g^{3}}-\frac{6 B^{2} d}{\left(a d -b c \right) \left(b x +a \right) b \,g^{3}}+\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(b x +a \right)^{2} b \,g^{3}}-\frac{A^{2}}{2 \left(b x +a \right)^{2} b \,g^{3}}-\frac{B^{2}}{\left(b x +a \right)^{2} b \,g^{3}}"," ",0,"-1/2/b/(b*x+a)^2/g^3*A^2-1/b/g^3*B^2/(b*x+a)^2+1/b/g^3*B^2/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-1/2/b/g^3*B^2/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2-6/b/g^3*B^2*d/(a*d-b*c)/(b*x+a)-3/b/g^3*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/2/b/g^3*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2+2/b/g^3*B^2*d/(a*d-b*c)/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-1/b/g^3*A*B/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/b/g^3*A*B/(a*d-b*c)^2/(b*x+a)^2*a^2*d^2-2/g^3*A*B/(a*d-b*c)^2/(b*x+a)^2*a*d*c+b/g^3*A*B/(a*d-b*c)^2/(b*x+a)^2*c^2+2/b/g^3*A*B/(a*d-b*c)^2/(b*x+a)*d^2*a-2/g^3*A*B/(a*d-b*c)^2/(b*x+a)*d*c+2/b/g^3*A*B*d^3/(a*d-b*c)^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*a-2/g^3*A*B*d^2/(a*d-b*c)^3*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)*c","B"
217,1,947,397,0.067000," ","int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g)^4,x)","\frac{4 A B \,a^{3} d^{3}}{9 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} b \,g^{4}}-\frac{4 A B \,a^{2} c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}+\frac{4 A B a b \,c^{2} d}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}+\frac{4 A B a \,d^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 \left(a d -b c \right)^{4} b \,g^{4}}-\frac{4 A B \,b^{2} c^{3}}{9 \left(a d -b c \right)^{3} \left(b x +a \right)^{3} g^{4}}-\frac{4 A B c \,d^{3} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{3 \left(a d -b c \right)^{4} g^{4}}+\frac{2 A B \,a^{2} d^{3}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} b \,g^{4}}-\frac{4 A B a c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{4}}+\frac{2 A B b \,c^{2} d}{3 \left(a d -b c \right)^{3} \left(b x +a \right)^{2} g^{4}}+\frac{B^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{3 \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) b \,g^{4}}+\frac{4 A B a \,d^{3}}{3 \left(a d -b c \right)^{3} \left(b x +a \right) b \,g^{4}}-\frac{4 A B c \,d^{2}}{3 \left(a d -b c \right)^{3} \left(b x +a \right) g^{4}}-\frac{22 B^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{9 \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) b \,g^{4}}+\frac{4 B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(b x +a \right) b \,g^{4}}-\frac{44 B^{2} d^{2}}{9 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(b x +a \right) b \,g^{4}}+\frac{2 B^{2} d \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 \left(a d -b c \right) \left(b x +a \right)^{2} b \,g^{4}}-\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{3 \left(b x +a \right)^{3} b \,g^{4}}-\frac{2 A B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 \left(b x +a \right)^{3} b \,g^{4}}-\frac{10 B^{2} d}{9 \left(a d -b c \right) \left(b x +a \right)^{2} b \,g^{4}}+\frac{4 B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{9 \left(b x +a \right)^{3} b \,g^{4}}-\frac{A^{2}}{3 \left(b x +a \right)^{3} b \,g^{4}}-\frac{8 B^{2}}{27 \left(b x +a \right)^{3} b \,g^{4}}"," ",0,"-1/3/b/(b*x+a)^3/g^4*A^2-8/27/b/g^4*B^2/(b*x+a)^3+4/9/b/g^4*B^2/(b*x+a)^3*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-1/3/b/g^4*B^2/(b*x+a)^3*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2-10/9/b/g^4*B^2*d/(a*d-b*c)/(b*x+a)^2-44/9/b/g^4*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(b*x+a)-22/9/b/g^4*d^3*B^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/3/b/g^4*d^3*B^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2+2/3/b/g^4*B^2*d/(a*d-b*c)/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+4/3/b/g^4*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-2/3/b/g^4*A*B/(b*x+a)^3*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+4/9/b/g^4*A*B*a^3*d^3/(a*d-b*c)^3/(b*x+a)^3-4/3/g^4*A*B*a^2*d^2/(a*d-b*c)^3/(b*x+a)^3*c+4/3*b/g^4*A*B*a*d/(a*d-b*c)^3/(b*x+a)^3*c^2+2/3/b/g^4*A*B*a^2*d^3/(a*d-b*c)^3/(b*x+a)^2-4/3/g^4*A*B*a*d^2/(a*d-b*c)^3/(b*x+a)^2*c+4/3/b/g^4*A*B*a*d^3/(a*d-b*c)^3/(b*x+a)+4/3/b/g^4*A*B*a*d^4/(a*d-b*c)^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)-4/9*b^2/g^4*A*B*c^3/(a*d-b*c)^3/(b*x+a)^3+2/3*b/g^4*A*B*c^2/(a*d-b*c)^3/(b*x+a)^2*d-4/3/g^4*A*B*c/(a*d-b*c)^3/(b*x+a)*d^2-4/3/g^4*A*B*c*d^3/(a*d-b*c)^4*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)","B"
218,1,1285,491,0.073000," ","int((B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2/(b*g*x+a*g)^5,x)","\frac{A B \,a^{4} d^{4}}{4 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} b \,g^{5}}-\frac{A B \,a^{3} c \,d^{3}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{3 A B \,a^{2} b \,c^{2} d^{2}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}-\frac{A B a \,b^{2} c^{3} d}{\left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{A B \,b^{3} c^{4}}{4 \left(a d -b c \right)^{4} \left(b x +a \right)^{4} g^{5}}+\frac{A B \,a^{3} d^{4}}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} b \,g^{5}}-\frac{A B \,a^{2} c \,d^{3}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}+\frac{A B a b \,c^{2} d^{2}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}+\frac{A B a \,d^{5} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{5} b \,g^{5}}-\frac{A B \,b^{2} c^{3} d}{3 \left(a d -b c \right)^{4} \left(b x +a \right)^{3} g^{5}}-\frac{A B c \,d^{4} \ln \left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)}{\left(a d -b c \right)^{5} g^{5}}+\frac{A B \,a^{2} d^{4}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} b \,g^{5}}-\frac{A B a c \,d^{3}}{\left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{5}}+\frac{A B b \,c^{2} d^{2}}{2 \left(a d -b c \right)^{4} \left(b x +a \right)^{2} g^{5}}+\frac{B^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{4 \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) b \,g^{5}}+\frac{A B a \,d^{4}}{\left(a d -b c \right)^{4} \left(b x +a \right) b \,g^{5}}-\frac{A B c \,d^{3}}{\left(a d -b c \right)^{4} \left(b x +a \right) g^{5}}-\frac{25 B^{2} d^{4} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{12 \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) b \,g^{5}}+\frac{B^{2} d^{3} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{\left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \left(b x +a \right) b \,g^{5}}-\frac{25 B^{2} d^{3}}{6 \left(a^{3} d^{3}-3 a^{2} c \,d^{2} b +3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \left(b x +a \right) b \,g^{5}}+\frac{B^{2} d^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(b x +a \right)^{2} b \,g^{5}}-\frac{13 B^{2} d^{2}}{12 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(b x +a \right)^{2} b \,g^{5}}+\frac{B^{2} d \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{3 \left(a d -b c \right) \left(b x +a \right)^{3} b \,g^{5}}-\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)^{2}}{4 \left(b x +a \right)^{4} b \,g^{5}}-\frac{A B \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{2 \left(b x +a \right)^{4} b \,g^{5}}-\frac{7 B^{2} d}{18 \left(a d -b c \right) \left(b x +a \right)^{3} b \,g^{5}}+\frac{B^{2} \ln \left(\frac{\left(\frac{a d}{b x +a}-\frac{b c}{b x +a}-d \right)^{2} e}{b^{2}}\right)}{4 \left(b x +a \right)^{4} b \,g^{5}}-\frac{A^{2}}{4 \left(b x +a \right)^{4} b \,g^{5}}-\frac{B^{2}}{8 \left(b x +a \right)^{4} b \,g^{5}}"," ",0,"1/4/b/g^5*B^2/(b*x+a)^4*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/b/g^5*d^3*B^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(b*x+a)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/3/b/g^5*B^2*d/(a*d-b*c)/(b*x+a)^3*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/2/b/g^5*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(b*x+a)^2*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/4*b^3/g^5*A*B*c^4/(a*d-b*c)^4/(b*x+a)^4-1/g^5*A*B*c*d^4/(a*d-b*c)^5*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)-1/g^5*A*B*c/(a*d-b*c)^4/(b*x+a)*d^3-1/4/b/g^5*B^2/(b*x+a)^4*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2-1/3*b^2/g^5*A*B*c^3/(a*d-b*c)^4/(b*x+a)^3*d-1/g^5*A*B*a^3*d^3/(a*d-b*c)^4/(b*x+a)^4*c-1/g^5*A*B*a*d^3/(a*d-b*c)^4/(b*x+a)^2*c-1/g^5*A*B*a^2*d^3/(a*d-b*c)^4/(b*x+a)^3*c+1/b/g^5*A*B*a*d^5/(a*d-b*c)^5*ln(1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)+1/b/g^5*A*B*a*d^4/(a*d-b*c)^4/(b*x+a)+1/2/b/g^5*A*B*a^2*d^4/(a*d-b*c)^4/(b*x+a)^2+1/4/b/g^5*A*B*a^4*d^4/(a*d-b*c)^4/(b*x+a)^4+1/3/b/g^5*A*B*a^3*d^4/(a*d-b*c)^4/(b*x+a)^3+1/2*b/g^5*A*B*c^2/(a*d-b*c)^4/(b*x+a)^2*d^2-1/4/b/(b*x+a)^4/g^5*A^2-1/8/b/g^5*B^2/(b*x+a)^4-1/2/b/g^5*A*B/(b*x+a)^4*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)-7/18/b/g^5*B^2*d/(a*d-b*c)/(b*x+a)^3-13/12/b/g^5*B^2*d^2/(a^2*d^2-2*a*b*c*d+b^2*c^2)/(b*x+a)^2-25/6/b/g^5*d^3*B^2/(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)/(b*x+a)-25/12/b/g^5*d^4*B^2/(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)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)+1/4/b/g^5*d^4*B^2/(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)*ln((1/(b*x+a)*a*d-1/(b*x+a)*b*c-d)^2/b^2*e)^2+3/2*b/g^5*A*B*a^2*d^2/(a*d-b*c)^4/(b*x+a)^4*c^2-b^2/g^5*A*B*a*d/(a*d-b*c)^4/(b*x+a)^4*c^3+b/g^5*A*B*a*d^2/(a*d-b*c)^4/(b*x+a)^3*c^2","B"
219,0,0,36,0.798000," ","int((b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","\int \frac{\left(b g x +a g \right)^{2}}{B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","F"
220,0,0,34,0.653000," ","int((b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","\int \frac{b g x +a g}{B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","F"
221,0,0,36,0.829000," ","int(1/(b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","F"
222,0,0,84,0.872000," ","int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","F"
223,0,0,142,0.978000," ","int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A),x)","F"
224,0,0,36,0.763000," ","int((b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{2}}{\left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
225,0,0,34,0.759000," ","int((b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \frac{b g x +a g}{\left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
226,0,0,36,0.757000," ","int(1/(b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
227,0,0,138,1.048000," ","int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
228,0,0,195,1.322000," ","int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","\int \frac{1}{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(d x +c \right)^{2} e}{\left(b x +a \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*x+a*g)^3/(B*ln((d*x+c)^2/(b*x+a)^2*e)+A)^2,x)","F"
229,0,0,97,0.035000," ","int(1/(b*g*x+a*g)^2/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\int \frac{1}{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*x+a*g)^2/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","F"
230,1,14719,341,0.287000," ","int((g*x+f)^4*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
231,1,8605,215,0.174000," ","int((g*x+f)^3*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
232,1,4406,140,0.161000," ","int((g*x+f)^2*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"1/3/d^3*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3*g^2+2/d^2*e^2*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b*c^2*a-1/d*e^3*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*b*c+1/d^2*e*B*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*f*b-1/d^3*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*b^2-1/d^3*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*g^2*b-1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2*b*c+1/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g^2*a-1/3/d^3*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3-1/d*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-20/3*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3/(d*x+c)^3*c^3-2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2/(d*x+c)*a*c+1/d^2*e^3*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*b^2*c^2+1/d^2*e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^2*f-2/d*e*B*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*f*a-2/d*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*f*g*a+1/2/d^2*e^2*B*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^2*b+2/d^2*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*f*g*b+1/d*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*f^2*c-1/3*B*g^2/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3-B/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*f^2*a+e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2*a+1/3*e^3*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+B*g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*f+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2*a-1/d^2*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2*f*g+1/3*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3-1/3*e*B*g^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3+1/6*e^2*B*g^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*f-2/d*e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b*c*f*a-1/d*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*b*c+2/d^2*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*b*a+1/d^2*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a+1/d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*f*b^2+d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2/(d*x+c)*a^2+1/d^3*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^5/(d*x+c)^2-2/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*g^2/(d*x+c)*a+4*d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*f/(d*x+c)^2*c+1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g^2/(d*x+c)*a^2-1/d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4*f/(d*x+c)^2-4/d^2*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2*a-2/d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*f*b*c-2*d^2*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5/(d*x+c)^3*c-d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*f/(d*x+c)^2+d*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*c/(d*x+c)^2+5/d*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2/(d*x+c)^3*c^4*b-2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*f*g/(d*x+c)*a^2-2/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*f*g/(d*x+c)*b-2/d^2*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^5/(d*x+c)^3*a+4/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*f*g/(d*x+c)*a+5*d*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4/(d*x+c)^3*c^2+1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2/(d*x+c)*c^2*b-6*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*f/(d*x+c)^2*c^2+1/3/d^3*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^6/(d*x+c)^3+6/d*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3/(d*x+c)^2*a^2+2/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*f*g*b+1/3*d^3*e^3*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3-4*e^2*B*g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2/(d*x+c)^2*a^3+1/d^3*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4*g^2/(d*x+c)*b-2/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*f*g*a+4/d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*f/(d*x+c)^2*c^3*b+e*B*g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*f-1/d*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f^2*b*c+1/d^2*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g^2*a-1/d^3*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*g^2*b+1/d^2*e*B*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*a-2/3/d^3*e*B*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*b-1/d^3*e^2*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^3-1/3/d^3*e^3*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^3*c^3-1/d*e^2*A*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-1/6/d^3*e^2*B*g^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3-1/2/d*e^2*B*g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c+e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*f","B"
233,1,1809,101,0.143000," ","int((g*x+f)*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","-\frac{B \,a^{4} d^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b^{2}}+\frac{2 B \,a^{3} c d \,e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b}-\frac{3 B \,a^{2} c^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}+\frac{2 B a b \,c^{3} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d}-\frac{B \,b^{2} c^{4} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d^{2}}+\frac{B \,a^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{B a b c \,e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{B \,b^{2} c^{2} e^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}+\frac{A \,a^{2} e^{2} g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{A a b c \,e^{2} g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{A \,b^{2} c^{2} e^{2} g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}-\frac{B \,a^{2} c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b}+\frac{B \,a^{2} d e f \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b}+\frac{2 B a \,c^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d}-\frac{2 B a c e f \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right)}-\frac{B b \,c^{3} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2}}+\frac{B b \,c^{2} e f \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d}-\frac{B a c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B a e f \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}+\frac{B b \,c^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}-\frac{B b c e f \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}-\frac{A a c e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{A a e f}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}+\frac{A b \,c^{2} e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}-\frac{A b c e f}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B \,a^{2} e g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b}-\frac{B a c e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B b \,c^{2} e g}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}+\frac{B \,a^{2} g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b^{2}}-\frac{B a f \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b}-\frac{B \,c^{2} g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d^{2}}+\frac{B c f \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d}"," ",0,"-1/2*d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+1/2*B*g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2+e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f*a+1/2*e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-B/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*f*a-1/2/d^2*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2*g+1/d*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*f*c-1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f*b*c-3*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2/(d*x+c)^2*c^2+2/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g/(d*x+c)*a+d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f/(d*x+c)*a^2-1/2/d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2-1/d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*b*c+1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f/(d*x+c)*c^2*b-e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*g/(d*x+c)*a^2+1/2/d^2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2+1/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g*b-1/d^2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*g/(d*x+c)*b+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f*a+1/2*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2+1/2*e*B*g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2-1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*g*a-2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f/(d*x+c)*a*c-1/d*e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b*c*a+2*d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3/(d*x+c)^2*c+2/d*e^2*B*g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a/(d*x+c)^2*c^3*b+1/2/d^2*e*B*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*b+1/d^2*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*g*b-1/d*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*g*a-1/d*e*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*f*b*c+1/2/d^2*e^2*A*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^2-1/d*e*B*g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*a","B"
234,1,418,52,0.129000," ","int(B*ln((b*x+a)/(d*x+c)*e)+A,x)","\frac{B \,a^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b}-\frac{2 B a c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right)}+\frac{B b \,c^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d}+\frac{B a e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}-\frac{B b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+A x -\frac{B a \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b}+\frac{B c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d}"," ",0,"A*x-B/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/d*c+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/d*b*c+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2*d-2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*c+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/d/(d*x+c)*c^2*b","B"
235,1,1400,140,0.201000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(g*x+f),x)","\frac{B a c d \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right)}-\frac{B a \,d^{2} f \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}-\frac{B b \,c^{2} \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right)}+\frac{B b c d f \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}+\frac{B a c d \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right)}-\frac{B a \,d^{2} f \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}-\frac{B b \,c^{2} \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right)}+\frac{B b c d f \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}-\frac{B a d \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}+\frac{B b c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{A a d \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}+\frac{A a d \ln \left(-a e g +b e f +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) c g -\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d f \right)}{\left(a d -b c \right) g}+\frac{A b c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}-\frac{A b c \ln \left(-a e g +b e f +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) c g -\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d f \right)}{\left(a d -b c \right) g}-\frac{B a d \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}+\frac{B b c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}"," ",0,"-d*A/g/(a*d-b*c)*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+A/g/(a*d-b*c)*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c+d*A/g/(a*d-b*c)*ln((b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*g-d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*f-a*e*g+b*e*f)*a-A/g/(a*d-b*c)*ln((b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*g-d*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*f-a*e*g+b*e*f)*b*c-d*B/g/(a*d-b*c)*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+B/g/(a*d-b*c)*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c-d*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c+d*B/(a*d-b*c)*dilog(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*c*a-B/(a*d-b*c)*dilog(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*c^2*b-d^2*B/g/(a*d-b*c)*dilog(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*f*a+d*B/g/(a*d-b*c)*dilog(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*f*b*c+d*B/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*c*a-B/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*c^2*b-d^2*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*f*a+d*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(((c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e)-a*e*g+b*e*f)/(-a*e*g+b*e*f))/(c*g-d*f)*f*b*c","B"
236,1,926,87,0.131000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(g*x+f)^2,x)","\frac{B \,a^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a g -b f \right) \left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) \left(d x +c \right)}-\frac{2 B a b c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a g -b f \right) \left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) \left(d x +c \right)}+\frac{B \,b^{2} c^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a g -b f \right) \left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) \left(d x +c \right) d}+\frac{B a b e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a g -b f \right) \left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right)}-\frac{B \,b^{2} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a g -b f \right) \left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) d}+\frac{A a d e}{\left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) \left(c g -d f \right)}-\frac{A b c e}{\left(\frac{a c e g}{d x +c}-\frac{a d e f}{d x +c}-\frac{b \,c^{2} e g}{\left(d x +c \right) d}+\frac{b c e f}{d x +c}-a e g +\frac{b c e g}{d}\right) \left(c g -d f \right)}-\frac{B a d \ln \left(-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)\right)}{\left(a g -b f \right) \left(c g -d f \right)}+\frac{B b c \ln \left(-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)\right)}{\left(a g -b f \right) \left(c g -d f \right)}"," ",0,"d*e*A/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)/(c*g-d*f)*a-e*A/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)/(c*g-d*f)*b*c-d*B/(a*g-b*f)*ln(-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(c*g-d*f)*a+B/(a*g-b*f)*ln(-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(c*g-d*f)*b*c+e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(a*g-b*f)/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)*b*a-1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(a*g-b*f)/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)*b^2*c+d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(a*g-b*f)/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)/(d*x+c)*a^2-2*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(a*g-b*f)/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)/(d*x+c)*a*b*c+1/d*e*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(a*g-b*f)/(b/d*e*c*g+e/(d*x+c)*a*c*g-e/(d*x+c)*a*d*f-e/d/(d*x+c)*b*c^2*g+e/(d*x+c)*b*c*f-a*e*g)/(d*x+c)*b^2*c^2","B"
237,1,5274,176,0.158000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(g*x+f)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
238,1,18285,266,0.184000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(g*x+f)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
239,1,44893,368,0.386000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(g*x+f)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
240,0,0,844,2.581000," ","int((g*x+f)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
241,0,0,512,2.096000," ","int((g*x+f)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
242,0,0,266,1.668000," ","int((g*x+f)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
243,0,0,125,1.519000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
244,1,2428,277,0.082000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f),x)","\frac{2 A B a c d \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right)}-\frac{2 A B a \,d^{2} f \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}-\frac{2 A B b \,c^{2} \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right)}+\frac{2 A B b c d f \ln \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}+\frac{2 A B a c d \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right)}-\frac{2 A B a \,d^{2} f \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}-\frac{2 A B b \,c^{2} \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right)}+\frac{2 A B b c d f \dilog \left(\frac{-a e g +b e f +\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) \left(c g -d f \right) g}+\frac{B^{2} a d \ln \left(1+\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}-\frac{B^{2} a d \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}-\frac{B^{2} b c \ln \left(1+\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}+\frac{B^{2} b c \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) g}-\frac{2 A B a d \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}+\frac{2 A B b c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{2 B^{2} a d \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} a d \polylog \left(2, -\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} b c \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{2 B^{2} b c \polylog \left(2, -\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) g}-\frac{A^{2} a d \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}+\frac{A^{2} a d \ln \left(-a e g +b e f +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) c g -\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d f \right)}{\left(a d -b c \right) g}+\frac{A^{2} b c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) g}-\frac{A^{2} b c \ln \left(-a e g +b e f +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) c g -\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d f \right)}{\left(a d -b c \right) g}-\frac{2 A B a d \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}+\frac{2 A B b c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} a d \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}-\frac{2 B^{2} a d \polylog \left(3, -\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) g}-\frac{2 B^{2} b c \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) g}+\frac{2 B^{2} b c \polylog \left(3, -\frac{\left(c g -d f \right) \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{-a e g +b e f}\right)}{\left(a d -b c \right) g}"," ",0,"2*d*A*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*f*b*c+2*A*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c-2*d*A*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2*d*A*B/(a*d-b*c)*dilog((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*c*a-2*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,-(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*b*c+2*A*B/g/(a*d-b*c)*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c+B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e+1)*b*c+2*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*b*c+d*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(1+(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a-2*d*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*a-d*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e+1)*a-2*d^2*A*B/g/(a*d-b*c)*dilog((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*f*a+2*d*A*B/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*c*a-2*A*B/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*c^2*b-2*d*B^2/g/(a*d-b*c)*polylog(3,-(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a-d*A^2/g/(a*d-b*c)*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+d*A^2/g/(a*d-b*c)*ln(-a*e*g+b*e*f+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*g-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d*f)*a+2*d*B^2/g/(a*d-b*c)*polylog(3,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*a-A^2/g/(a*d-b*c)*ln(-a*e*g+b*e*f+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*g-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d*f)*b*c+A^2/g/(a*d-b*c)*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c+2*d*B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,-(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*a-2*A*B/(a*d-b*c)*dilog((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*c^2*b-2*B^2/g/(a*d-b*c)*polylog(3,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*b*c+2*B^2/g/(a*d-b*c)*polylog(3,-(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*b*c-B^2/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(1+(c*g-d*f)/(-a*e*g+b*e*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))*b*c-2*d*A*B/g/(a*d-b*c)*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-2*d^2*A*B/g/(a*d-b*c)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*f*a+2*d*A*B/g/(a*d-b*c)*dilog((-a*e*g+b*e*f+(c*g-d*f)*(b/d*e+(a*d-b*c)/(d*x+c)/d*e))/(-a*e*g+b*e*f))/(c*g-d*f)*f*b*c","B"
245,0,0,196,1.795000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^2,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^2,x)","F"
246,0,0,365,2.731000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^3,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^3,x)","F"
247,0,0,694,4.238000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^4,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(g x +f \right)^{4}}\, dx"," ",0,"int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^4,x)","F"
248,0,0,1129,6.982000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^5,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(g x +f \right)^{5}}\, dx"," ",0,"int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(g*x+f)^5,x)","F"
249,1,46,36,0.102000," ","int(ln((x+1)/(x-1))/x^2,x)","-\frac{2 \left(1+\frac{2}{x -1}\right) \ln \left(1+\frac{2}{x -1}\right)}{\frac{2}{x -1}+2}+2 \ln \left(\frac{2}{x -1}+2\right)"," ",0,"2*ln(2/(x-1)+2)-2*ln(1+2/(x-1))*(1+2/(x-1))/(2/(x-1)+2)","A"
250,0,0,31,1.149000," ","int((g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{\left(g x +f \right)^{2}}{B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A}\, dx"," ",0,"int((g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
251,0,0,29,0.987000," ","int((g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{g x +f}{B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A}\, dx"," ",0,"int((g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
252,0,0,23,0.921000," ","int(1/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A}\, dx"," ",0,"int(1/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
253,0,0,31,1.306000," ","int(1/(g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
254,0,0,31,1.190000," ","int(1/(g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
255,0,0,31,1.260000," ","int(1/(g*x+f)^3/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln((b*x+a)/(d*x+c)*e)+A),x)","F"
256,0,0,31,1.111000," ","int((g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{\left(g x +f \right)^{2}}{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
257,0,0,29,1.039000," ","int((g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{g x +f}{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
258,0,0,23,1.081000," ","int(1/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
259,0,0,31,1.367000," ","int(1/(g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
260,0,0,31,1.496000," ","int(1/(g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
261,0,0,31,1.795000," ","int(1/(g*x+f)^3/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
262,1,2438,343,0.146000," ","int((g*x+f)^4*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\frac{B \,g^{4} x^{5} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{5}+\frac{A \,g^{4} x^{5}}{5}+B f \,g^{3} x^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A f \,g^{3} x^{4}+\frac{B a \,g^{4} x^{4}}{10 b}-\frac{B c \,g^{4} x^{4}}{10 d}+2 B \,f^{2} g^{2} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+2 A \,f^{2} g^{2} x^{3}+\frac{2 B \,a^{2} c^{4} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b \,d^{3}}-\frac{8 B \,a^{2} c^{3} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b \,d^{2}}+\frac{12 B \,a^{2} c^{2} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b d}-\frac{8 B \,a^{2} c \,f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{2 B \,a^{2} d \,f^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{2 B \,a^{2} g^{4} x^{3}}{15 b^{2}}+\frac{2 B a f \,g^{3} x^{3}}{3 b}-\frac{4 B a \,c^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{4}}+\frac{16 B a \,c^{4} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}-\frac{24 B a \,c^{3} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{16 B a \,c^{2} f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{4 B a c \,f^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{2 B b \,c^{6} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{5}}-\frac{8 B b \,c^{5} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{4}}+\frac{12 B b \,c^{4} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}-\frac{8 B b \,c^{3} f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{2 B b \,c^{2} f^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}+\frac{2 B \,c^{2} g^{4} x^{3}}{15 d^{2}}-\frac{2 B c f \,g^{3} x^{3}}{3 d}+2 B \,f^{3} g \,x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+2 A \,f^{3} g \,x^{2}+\frac{B \,a^{3} g^{4} x^{2}}{5 b^{3}}-\frac{B \,a^{2} f \,g^{3} x^{2}}{b^{2}}+\frac{2 B a \,f^{2} g^{2} x^{2}}{b}-\frac{B \,c^{3} g^{4} x^{2}}{5 d^{3}}+\frac{B \,c^{2} f \,g^{3} x^{2}}{d^{2}}-\frac{2 B c \,f^{2} g^{2} x^{2}}{d}+B \,f^{4} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A \,f^{4} x -\frac{2 B \,a^{5} g^{4} \ln \left(\frac{1}{d x +c}\right)}{5 b^{5}}+\frac{2 B \,a^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{5 b^{5}}+\frac{2 B \,a^{4} f \,g^{3} \ln \left(\frac{1}{d x +c}\right)}{b^{4}}-\frac{2 B \,a^{4} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{4}}-\frac{2 B \,a^{4} g^{4} x}{5 b^{4}}-\frac{4 B \,a^{3} f^{2} g^{2} \ln \left(\frac{1}{d x +c}\right)}{b^{3}}+\frac{4 B \,a^{3} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{3}}+\frac{2 B \,a^{3} f \,g^{3} x}{b^{3}}+\frac{4 B \,a^{2} f^{3} g \ln \left(\frac{1}{d x +c}\right)}{b^{2}}-\frac{4 B \,a^{2} f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{2}}-\frac{4 B \,a^{2} f^{2} g^{2} x}{b^{2}}-\frac{2 B a \,c^{4} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{4}}+\frac{8 B a \,c^{3} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{3}}-\frac{12 B a \,c^{2} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{2}}+\frac{8 B a c \,f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b d}-\frac{2 B a \,f^{4} \ln \left(\frac{1}{d x +c}\right)}{b}+\frac{4 B a \,f^{3} g x}{b}+\frac{2 B \,c^{5} g^{4} \ln \left(\frac{1}{d x +c}\right)}{5 d^{5}}+\frac{B \,c^{5} g^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{5 d^{5}}+\frac{8 B \,c^{5} g^{4} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{5 d^{5}}-\frac{2 B \,c^{4} f \,g^{3} \ln \left(\frac{1}{d x +c}\right)}{d^{4}}-\frac{B \,c^{4} f \,g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{4}}-\frac{6 B \,c^{4} f \,g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{4}}+\frac{2 B \,c^{4} g^{4} x}{5 d^{4}}+\frac{4 B \,c^{3} f^{2} g^{2} \ln \left(\frac{1}{d x +c}\right)}{d^{3}}+\frac{2 B \,c^{3} f^{2} g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{3}}+\frac{8 B \,c^{3} f^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{3}}-\frac{2 B \,c^{3} f \,g^{3} x}{d^{3}}-\frac{4 B \,c^{2} f^{3} g \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{2 B \,c^{2} f^{3} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{2}}-\frac{4 B \,c^{2} f^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}+\frac{4 B \,c^{2} f^{2} g^{2} x}{d^{2}}+\frac{2 B c \,f^{4} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B c \,f^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}-\frac{4 B c \,f^{3} g x}{d}+\frac{A \,c^{5} g^{4}}{5 d^{5}}-\frac{A \,c^{4} f \,g^{3}}{d^{4}}+\frac{2 A \,c^{3} f^{2} g^{2}}{d^{3}}-\frac{2 A \,c^{2} f^{3} g}{d^{2}}+\frac{A c \,f^{4}}{d}-\frac{2 B \,a^{4} c \,g^{4}}{5 b^{4} d}-\frac{B \,a^{3} c^{2} g^{4}}{5 b^{3} d^{2}}+\frac{2 B \,a^{3} c f \,g^{3}}{b^{3} d}-\frac{2 B \,a^{2} c^{3} g^{4}}{15 b^{2} d^{3}}+\frac{B \,a^{2} c^{2} f \,g^{3}}{b^{2} d^{2}}-\frac{4 B \,a^{2} c \,f^{2} g^{2}}{b^{2} d}-\frac{B a \,c^{4} g^{4}}{10 b \,d^{4}}+\frac{2 B a \,c^{3} f \,g^{3}}{3 b \,d^{3}}-\frac{2 B a \,c^{2} f^{2} g^{2}}{b \,d^{2}}+\frac{4 B a c \,f^{3} g}{b d}+\frac{5 B \,c^{5} g^{4}}{6 d^{5}}-\frac{11 B \,c^{4} f \,g^{3}}{3 d^{4}}+\frac{6 B \,c^{3} f^{2} g^{2}}{d^{3}}-\frac{4 B \,c^{2} f^{3} g}{d^{2}}"," ",0,"A*x*f^4+1/5*A*x^5*g^4-8*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c*f^3*g-12/d^2*B/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*f^2*g^2+16/d^3*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^4*f*g^3+2/d^3*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^4*g^4-8/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b*f^3*g+12/d^3*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^4*b*f^2*g^2+8/d^3*B*g^3*a/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*f+8/d*B*g/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f^3-24/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^3*f^2*g^2+16/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*f^3*g-8/d^4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^5*b*f*g^3+5/6/d^5*B*g^4*c^5+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*f^4+1/5*B*g^4*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^5+1/d*A*c*f^4+1/5/d^5*A*c^5*g^4+A*x^4*f*g^3+2*A*x^2*f^3*g+2*A*x^3*f^2*g^2-8/d^2*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^3*f*g^3+12/d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^2*f^2*g^2-2/d^2*B/b*a*c^2*f^2*g^2+2/3/d^3*B*g^3*a/b*c^3*f+1/d^2*B*g^3*a^2/b^2*c^2*f+4/d*B*g/b*a*f^3*c+2/d*B*g^3*a^3/b^3*f*c-4/d*B*g^2*a^2/b^2*f^2*c+4*B*g/b^2*ln(1/(d*x+c))*a^2*f^3+2*B*g^3*a^4/b^4*ln(1/(d*x+c))*f-2*B*g^3*a^4/b^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*f+2/3*B*g^3*a/b*f*x^3-1/10/d*B*g^4*c*x^4-2/5*B*g^4*a^4/b^4*x+1/10*B*g^4*a/b*x^4+1/5*B*g^4*a^3/b^3*x^2-2/15*B*g^4*a^2/b^2*x^3-4/d^4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^5*g^4+2/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*b*f^4+2*d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f^4-2/d^4*B*g^4*a/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^4+2/d^5*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^6*b*g^4+2/5/d^5*B*ln(1/(d*x+c))*c^5*g^4+8/5/d^5*B*g^4*c^5*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)+2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f^3*x^2+B*g^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f*x^4+2*B*g^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f^2*x^3-2/5*B*g^4*a^5/b^5*ln(1/(d*x+c))+2/5*B*g^4*a^5/b^5*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-2*B/b*ln(1/(d*x+c))*a*f^4+2/15/d^2*B*g^4*c^2*x^3-1/5/d^3*B*g^4*c^3*x^2+2/5/d^4*B*g^4*c^4*x+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*f^4+2/d*B*ln(1/(d*x+c))*c*f^4+1/5/d^5*B*g^4*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^5-11/3/d^4*B*g^3*c^4*f+6/d^3*B*c^3*f^2*g^2-4/d^2*B*c^2*f^3*g-1/d^4*A*c^4*f*g^3+2/d^3*A*c^3*f^2*g^2-2/d^2*A*c^2*f^3*g-1/10/d^4*B*g^4*a/b*c^4-1/5/d^2*B*g^4*a^3/b^3*c^2-2/15/d^3*B*g^4*a^2/b^2*c^3-2/5/d*B*g^4*a^4/b^4*c-4/d*B*g*c*f^3*x-4*B*g^2*a^3/b^3*ln(1/(d*x+c))*f^2-4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f^4+4*B*g^2*a^3/b^3*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*f^2-4*B*g/b^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f^3+4/d^3*B*ln(1/(d*x+c))*c^3*f^2*g^2-4/d^2*B*ln(1/(d*x+c))*c^2*f^3*g-6/d^4*B*g^3*c^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*f+8/d^3*B*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*f^2*g^2-4/d^2*B*g*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*f^3-1/d^4*B*g^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^4*f+2/d^3*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^3*f^2*g^2-2/d^2*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^2*f^3*g+4*B*g/b*a*f^3*x+2*B*g^3*a^3/b^3*f*x-4*B*g^2*a^2/b^2*f^2*x+2*B*g^2*a/b*f^2*x^2-2/d^4*B*ln(1/(d*x+c))*c^4*f*g^3-B*g^3*a^2/b^2*f*x^2+4/d^2*B*c^2*f^2*g^2*x+1/d^2*B*g^3*c^2*f*x^2-2/d^3*B*g^3*c^3*f*x-2/3/d*B*g^3*c*f*x^3-2/d*B*g^2*c*f^2*x^2","B"
263,1,1783,217,0.089000," ","int((g*x+f)^3*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\frac{B \,g^{3} x^{4} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{4}+\frac{A \,g^{3} x^{4}}{4}+B f \,g^{2} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A f \,g^{2} x^{3}-\frac{2 B \,a^{2} c^{3} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b \,d^{2}}+\frac{6 B \,a^{2} c^{2} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b d}-\frac{6 B \,a^{2} c \,f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{2 B \,a^{2} d \,f^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{B a \,g^{3} x^{3}}{6 b}+\frac{4 B a \,c^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}-\frac{12 B a \,c^{3} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{12 B a \,c^{2} f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{4 B a c \,f^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}-\frac{2 B b \,c^{5} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{4}}+\frac{6 B b \,c^{4} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}-\frac{6 B b \,c^{3} f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{2 B b \,c^{2} f^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{B c \,g^{3} x^{3}}{6 d}+\frac{3 B \,f^{2} g \,x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2}+\frac{3 A \,f^{2} g \,x^{2}}{2}-\frac{B \,a^{2} g^{3} x^{2}}{4 b^{2}}+\frac{B a f \,g^{2} x^{2}}{b}+\frac{B \,c^{2} g^{3} x^{2}}{4 d^{2}}-\frac{B c f \,g^{2} x^{2}}{d}+B \,f^{3} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A \,f^{3} x +\frac{B \,a^{4} g^{3} \ln \left(\frac{1}{d x +c}\right)}{2 b^{4}}-\frac{B \,a^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{2 b^{4}}-\frac{2 B \,a^{3} f \,g^{2} \ln \left(\frac{1}{d x +c}\right)}{b^{3}}+\frac{2 B \,a^{3} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{3}}+\frac{B \,a^{3} g^{3} x}{2 b^{3}}+\frac{3 B \,a^{2} f^{2} g \ln \left(\frac{1}{d x +c}\right)}{b^{2}}-\frac{3 B \,a^{2} f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{2}}-\frac{2 B \,a^{2} f \,g^{2} x}{b^{2}}+\frac{2 B a \,c^{3} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{3}}-\frac{6 B a \,c^{2} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{2}}+\frac{6 B a c \,f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b d}-\frac{2 B a \,f^{3} \ln \left(\frac{1}{d x +c}\right)}{b}+\frac{3 B a \,f^{2} g x}{b}-\frac{B \,c^{4} g^{3} \ln \left(\frac{1}{d x +c}\right)}{2 d^{4}}-\frac{B \,c^{4} g^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{4 d^{4}}-\frac{3 B \,c^{4} g^{3} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{2 d^{4}}+\frac{2 B \,c^{3} f \,g^{2} \ln \left(\frac{1}{d x +c}\right)}{d^{3}}+\frac{B \,c^{3} f \,g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{3}}+\frac{4 B \,c^{3} f \,g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{3}}-\frac{B \,c^{3} g^{3} x}{2 d^{3}}-\frac{3 B \,c^{2} f^{2} g \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{3 B \,c^{2} f^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 d^{2}}-\frac{3 B \,c^{2} f^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}+\frac{2 B \,c^{2} f \,g^{2} x}{d^{2}}+\frac{2 B c \,f^{3} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B c \,f^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}-\frac{3 B c \,f^{2} g x}{d}-\frac{A \,c^{4} g^{3}}{4 d^{4}}+\frac{A \,c^{3} f \,g^{2}}{d^{3}}-\frac{3 A \,c^{2} f^{2} g}{2 d^{2}}+\frac{A c \,f^{3}}{d}+\frac{B \,a^{3} c \,g^{3}}{2 b^{3} d}+\frac{B \,a^{2} c^{2} g^{3}}{4 b^{2} d^{2}}-\frac{2 B \,a^{2} c f \,g^{2}}{b^{2} d}+\frac{B a \,c^{3} g^{3}}{6 b \,d^{3}}-\frac{B a \,c^{2} f \,g^{2}}{b \,d^{2}}+\frac{3 B a c \,f^{2} g}{b d}-\frac{11 B \,c^{4} g^{3}}{12 d^{4}}+\frac{3 B \,c^{3} f \,g^{2}}{d^{3}}-\frac{3 B \,c^{2} f^{2} g}{d^{2}}"," ",0,"-3/2/d^2*A*c^2*f^2*g-3/d^2*B*c^2*f^2*g+1/d^3*A*c^3*f*g^2+3/d^3*B*c^3*f*g^2-1/2/d^3*B*c^3*g^3*x+1/4/d^2*B*c^2*g^3*x^2+B*g^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f*x^3+3/2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f^2*x^2-2*B/b*ln(1/(d*x+c))*a*f^3+2/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*b*f^3+2/d^3*B*g^3*a/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3+2*d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f^3-11/12/d^4*B*g^3*c^4-1/4/d^4*A*c^4*g^3+1/d*A*c*f^3+A*x^3*f*g^2+3/2*A*x^2*f^2*g+1/4*B*g^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^4+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*f^3-2/d^2*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^3*g^3+6/d^3*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^4*b*f*g^2-12/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^3*f*g^2-6/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b*f^2*g-6/d^2*B/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*f*g^2+6/d*B*g/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f^2+12/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*f^2*g-6*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c*f^2*g+1/4*A*x^4*g^3+A*x*f^3+6/d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^2*f*g^2+1/2/d*B*g^3*a^3/b^3*c+1/4/d^2*B*g^3*a^2/b^2*c^2+1/6/d^3*B*g^3*a/b*c^3+1/d^3*B*g^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f*c^3-3/d^2*B*g*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*f^2-3/2/d^2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f^2*c^2+4/d^3*B*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*f*g^2-1/2/d^4*B*ln(1/(d*x+c))*c^4*g^3-1/4/d^4*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^4*g^3+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*f^3+2/d*B*ln(1/(d*x+c))*c*f^3-3/2/d^4*B*g^3*c^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-1/2*B*g^3*a^4/b^4*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)+1/2*B*g^3*a^4/b^4*ln(1/(d*x+c))+1/6*B*g^3*a/b*x^3-1/4*B*g^3*a^2/b^2*x^2+1/2*B*g^3*a^3/b^3*x-1/6/d*B*g^3*c*x^3+2*B*g^2*a^3/b^3*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*f-2*B*g^2*a^3/b^3*ln(1/(d*x+c))*f+3*B*g/b*a*f^2*x-2*B*g^2*a^2/b^2*f*x+2/d^2*B*c^2*f*g^2*x-1/d*B*g^2*c*f*x^2-3/d*B*g*c*f^2*x+2/d^3*B*ln(1/(d*x+c))*c^3*f*g^2-3*B*g/b^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f^2+3*B*g/b^2*ln(1/(d*x+c))*a^2*f^2+B*g^2*a/b*f*x^2-3/d^2*B*ln(1/(d*x+c))*c^2*f^2*g-4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f^3+4/d^3*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^4*g^3-2/d^4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^5*b*g^3+3/d*B*g/b*a*f^2*c-1/d^2*B/b*a*c^2*f*g^2-2/d*B*g^2*a^2/b^2*f*c","B"
264,1,1188,142,0.081000," ","int((g*x+f)^2*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\frac{B \,g^{2} x^{3} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3}+\frac{A \,g^{2} x^{3}}{3}+\frac{2 B \,a^{2} c^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b d}-\frac{4 B \,a^{2} c f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{2 B \,a^{2} d \,f^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{4 B a \,c^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{8 B a \,c^{2} f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{4 B a c \,f^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{2 B b \,c^{4} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{3}}-\frac{4 B b \,c^{3} f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{2 B b \,c^{2} f^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}+B f g \,x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A f g \,x^{2}+\frac{B a \,g^{2} x^{2}}{3 b}-\frac{B c \,g^{2} x^{2}}{3 d}+B \,f^{2} x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A \,f^{2} x -\frac{2 B \,a^{3} g^{2} \ln \left(\frac{1}{d x +c}\right)}{3 b^{3}}+\frac{2 B \,a^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{3 b^{3}}+\frac{2 B \,a^{2} f g \ln \left(\frac{1}{d x +c}\right)}{b^{2}}-\frac{2 B \,a^{2} f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{2}}-\frac{2 B \,a^{2} g^{2} x}{3 b^{2}}-\frac{2 B a \,c^{2} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b \,d^{2}}+\frac{4 B a c f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b d}-\frac{2 B a \,f^{2} \ln \left(\frac{1}{d x +c}\right)}{b}+\frac{2 B a f g x}{b}+\frac{2 B \,c^{3} g^{2} \ln \left(\frac{1}{d x +c}\right)}{3 d^{3}}+\frac{B \,c^{3} g^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{3 d^{3}}+\frac{4 B \,c^{3} g^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{3 d^{3}}-\frac{2 B \,c^{2} f g \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{B \,c^{2} f g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d^{2}}-\frac{2 B \,c^{2} f g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}+\frac{2 B \,c^{2} g^{2} x}{3 d^{2}}+\frac{2 B c \,f^{2} \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B c \,f^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}-\frac{2 B c f g x}{d}+\frac{A \,c^{3} g^{2}}{3 d^{3}}-\frac{A \,c^{2} f g}{d^{2}}+\frac{A c \,f^{2}}{d}-\frac{2 B \,a^{2} c \,g^{2}}{3 b^{2} d}-\frac{B a \,c^{2} g^{2}}{3 b \,d^{2}}+\frac{2 B a c f g}{b d}+\frac{B \,c^{3} g^{2}}{d^{3}}-\frac{2 B \,c^{2} f g}{d^{2}}"," ",0,"A*x*f^2+1/3*A*x^3*g^2+1/3/d^3*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^3*g^2+1/3/d^3*A*c^3*g^2+1/d*A*c*f^2+1/3*B*g^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^3+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*f^2+A*x^2*f*g+1/d^3*B*c^3*g^2-4*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c*f*g-4/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b*f*g+4/d*B*g/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f+8/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*f*g+2/d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c^2*g^2-2/3*B*g^2*a^2/b^2*x+1/3*B*g^2*a/b*x^2+2/d*B*ln(1/(d*x+c))*c*f^2+2/3*B*g^2*a^3/b^3*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)-2/3*B*g^2*a^3/b^3*ln(1/(d*x+c))+B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f*x^2+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*f^2+4/3/d^3*B*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*g^2-2*B/b*ln(1/(d*x+c))*a*f^2-1/3/d*B*g^2*c*x^2+2/3/d^2*B*c^2*g^2*x+2/3/d^3*B*ln(1/(d*x+c))*c^3*g^2-1/d^2*A*c^2*f*g-2/d^2*B*g*c^2*f-2*B*g/b^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f-2/d*B*g*c*f*x-2/d^2*B*ln(1/(d*x+c))*c^2*f*g-1/d^2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f*c^2-2/d^2*B*g*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*f+2*B*g/b^2*ln(1/(d*x+c))*a^2*f-4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f^2+2*B*g/b*a*f*x-2/3/d*B*g^2*a^2/b^2*c-1/3/d^2*B*g^2*a/b*c^2-4/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^3*g^2+2*d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f^2-2/d^2*B/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*g^2+2/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*b*f^2+2/d^3*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^4*b*g^2+2/d*B*g/b*a*c*f","B"
265,1,656,102,0.075000," ","int((g*x+f)*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","-\frac{2 B \,a^{2} c g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{2 B \,a^{2} d f \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}+\frac{4 B a \,c^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}-\frac{4 B a c f \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}-\frac{2 B b \,c^{3} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d^{2}}+\frac{2 B b \,c^{2} f \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}+\frac{B g \,x^{2} \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2}+\frac{A g \,x^{2}}{2}+B f x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A f x +\frac{B \,a^{2} g \ln \left(\frac{1}{d x +c}\right)}{b^{2}}-\frac{B \,a^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b^{2}}+\frac{2 B a c g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{b d}-\frac{2 B a f \ln \left(\frac{1}{d x +c}\right)}{b}+\frac{B a g x}{b}-\frac{B \,c^{2} g \ln \left(\frac{1}{d x +c}\right)}{d^{2}}-\frac{B \,c^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 d^{2}}-\frac{B \,c^{2} g \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{d^{2}}+\frac{2 B c f \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B c f \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}-\frac{B c g x}{d}-\frac{A \,c^{2} g}{2 d^{2}}+\frac{A c f}{d}+\frac{B a c g}{b d}-\frac{B \,c^{2} g}{d^{2}}"," ",0,"-2/d^2*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^3*b*g+1/2*B*g*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x^2+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x*f-1/2/d^2*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^2*g-1/d^2*B*g*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2-1/d^2*B*ln(1/(d*x+c))*c^2*g+1/d*B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*f-B*g/b^2*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2+2/d*B*ln(1/(d*x+c))*c*f-1/d*B*c*g*x+B*g/b^2*ln(1/(d*x+c))*a^2-2*B/b*ln(1/(d*x+c))*a*f+B*g/b*a*x-1/d^2*B*c^2*g-1/2/d^2*A*c^2*g+1/d*A*c*f+1/2*A*x^2*g+A*x*f-4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c*f+1/d*B*g/b*a*c+2/d*B*g/b*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c+2*d*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*f+2/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*b*f+4/d*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c^2*g-2*B/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2*c*g","B"
266,1,233,54,0.063000," ","int(B*ln((b*x+a)^2/(d*x+c)^2*e)+A,x)","\frac{2 B \,a^{2} d \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) b}-\frac{4 B a c \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{a d -b c}+\frac{2 B b \,c^{2} \ln \left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)}{\left(a d -b c \right) d}+B x \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)+A x -\frac{2 B a \ln \left(\frac{1}{d x +c}\right)}{b}+\frac{2 B c \ln \left(\frac{1}{d x +c}\right)}{d}+\frac{B c \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{d}"," ",0,"A*x+B*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*x+B/d*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c+2*B*d/b/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a^2-4*B/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*a*c+2*B/d/(a*d-b*c)*ln(1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)*c^2*b-2*B/b*ln(1/(d*x+c))*a+2*B/d*ln(1/(d*x+c))*c","B"
267,1,1143,144,0.148000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)/(g*x+f),x)","-\frac{2 B a c d \ln \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{\left(c g -d f \right) \left(a d -b c \right)}+\frac{2 B a \,d^{2} f \ln \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{\left(c g -d f \right) \left(a d -b c \right) g}+\frac{2 B b \,c^{2} \ln \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{\left(c g -d f \right) \left(a d -b c \right)}-\frac{2 B b c d f \ln \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{\left(c g -d f \right) \left(a d -b c \right) g}-\frac{2 B a c d \dilog \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right)}{\left(c g -d f \right) \left(a d -b c \right)}+\frac{2 B a \,d^{2} f \dilog \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right)}{\left(c g -d f \right) \left(a d -b c \right) g}+\frac{2 B b \,c^{2} \dilog \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right)}{\left(c g -d f \right) \left(a d -b c \right)}-\frac{2 B b c d f \dilog \left(\frac{a d g -b d f +\left(-g +\frac{c g -d f}{d x +c}\right) \left(a d -b c \right)}{a d g -b d f}\right)}{\left(c g -d f \right) \left(a d -b c \right) g}+\frac{2 B a d \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}-\frac{2 B b c \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}+\frac{B c \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{c g -d f}-\frac{B d f \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right) \ln \left(-g +\frac{c g -d f}{d x +c}\right)}{\left(c g -d f \right) g}+\frac{2 B a d \dilog \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}-\frac{2 B b c \dilog \left(\frac{b +\frac{a d -b c}{d x +c}}{b}\right)}{\left(a d -b c \right) g}-\frac{B \ln \left(\frac{1}{d x +c}\right) \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{g}-\frac{A \ln \left(\frac{1}{d x +c}\right)}{g}+\frac{A \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)}{g}"," ",0,"A/g*ln(1/(d*x+c)*c*g-d/(d*x+c)*f-g)-A/g*ln(1/(d*x+c))+B*ln((c*g-d*f)/(d*x+c)-g)/(c*g-d*f)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c-d*B/g*ln((c*g-d*f)/(d*x+c)-g)/(c*g-d*f)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f-2*d*B/(c*g-d*f)*dilog((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*a*c+2*d^2*B/g/(c*g-d*f)*dilog((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*a*f+2*B/(c*g-d*f)*dilog((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*b*c^2-2*d*B/g/(c*g-d*f)*dilog((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*b*c*f-2*d*B/(c*g-d*f)*ln((c*g-d*f)/(d*x+c)-g)*ln((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*a*c+2*d^2*B/g/(c*g-d*f)*ln((c*g-d*f)/(d*x+c)-g)*ln((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*a*f+2*B/(c*g-d*f)*ln((c*g-d*f)/(d*x+c)-g)*ln((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*b*c^2-2*d*B/g/(c*g-d*f)*ln((c*g-d*f)/(d*x+c)-g)*ln((((c*g-d*f)/(d*x+c)-g)*(a*d-b*c)+a*d*g-b*d*f)/(a*d*g-b*d*f))/(a*d-b*c)*b*c*f-B/g*ln(1/(d*x+c))*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+2*d*B/g*dilog((b+1/(d*x+c)*(a*d-b*c))/b)/(a*d-b*c)*a-2*B/g*dilog((b+1/(d*x+c)*(a*d-b*c))/b)/(a*d-b*c)*b*c+2*d*B/g*ln(1/(d*x+c))*ln((b+1/(d*x+c)*(a*d-b*c))/b)/(a*d-b*c)*a-2*B/g*ln(1/(d*x+c))*ln((b+1/(d*x+c)*(a*d-b*c))/b)/(a*d-b*c)*b*c","B"
268,1,388,90,0.092000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)/(g*x+f)^2,x)","\frac{B a d \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right) \left(a g -b f \right) \left(d x +c \right)}-\frac{2 B a d \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)}{a c \,g^{2}-a d f g -b c f g +b d \,f^{2}}-\frac{B b c \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right) \left(a g -b f \right) \left(d x +c \right)}+\frac{2 B b c \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)}{a c \,g^{2}-a d f g -b c f g +b d \,f^{2}}+\frac{B b \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right) \left(a g -b f \right)}+\frac{A d}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right) \left(c g -d f \right)}"," ",0,"d*A/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)/(c*g-d*f)+1/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b*B/(a*g-b*f)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*B/(a*g-b*f)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a-1/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*B/(a*g-b*f)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b*c-2*d*B/(a*c*g^2-a*d*f*g-b*c*f*g+b*d*f^2)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a+2*B/(a*c*g^2-a*d*f*g-b*c*f*g+b*d*f^2)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b*c","B"
269,1,1554,176,0.191000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)/(g*x+f)^3,x)","-\frac{B \,a^{2} d^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)^{2}}+\frac{B \,a^{2} d^{2} g \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \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{B a b \,d^{2} f \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)^{2}}-\frac{2 B a b \,d^{2} f \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \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{B \,b^{2} c^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)^{2}}-\frac{B \,b^{2} c^{2} g \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \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{B \,b^{2} c d f \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)^{2}}+\frac{2 B \,b^{2} c d f \ln \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \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{B \,b^{2} c g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)}+\frac{B \,b^{2} d f \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right) \left(d x +c \right)}+\frac{B a \,d^{2} g}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a c \,g^{2}-a d f g -b c f g +b d \,f^{2}\right) \left(d x +c \right)}+\frac{B \,b^{2} g \ln \left(\frac{\left(\frac{a d}{d x +c}-\frac{b c}{d x +c}+b \right)^{2} e}{d^{2}}\right)}{2 \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a^{2} g^{2}-2 a b f g +b^{2} f^{2}\right)}-\frac{B b c d g}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a c \,g^{2}-a d f g -b c f g +b d \,f^{2}\right) \left(d x +c \right)}-\frac{A \,d^{2} g}{2 \left(c g -d f \right)^{2} \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2}}-\frac{B a \,d^{2}}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a g -b f \right) \left(d x +c \right)^{2}}+\frac{B b c d}{\left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)^{2} \left(a g -b f \right) \left(d x +c \right)^{2}}-\frac{A \,d^{2}}{\left(c g -d f \right)^{2} \left(\frac{c g}{d x +c}-\frac{d f}{d x +c}-g \right)}"," ",0,"-d^2*A/(c*g-d*f)^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)-1/2*d^2*A*g/(c*g-d*f)^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2-d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2/(a*g-b*f)/(d*x+c)^2*B*a+d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2/(a*g-b*f)/(d*x+c)^2*B*b*c-1/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*b^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*g+d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*b^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f+d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*g/(a*c*g^2-a*d*f*g-b*c*f*g+b*d*f^2)/(d*x+c)*B*a-d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*g/(a*c*g^2-a*d*f*g-b*c*f*g+b*d*f^2)/(d*x+c)*B*b*c-1/2*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^2*g+d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*b*f+1/2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b^2*c^2*g-d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b^2*c*f+1/2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2*b^2*g*B/(a^2*g^2-2*a*b*f*g+b^2*f^2)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+d^2*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a^2*g-2*d^2*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a*b*f-B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b^2*c^2*g+2*d*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b^2*c*f","B"
270,1,4421,268,0.295000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)/(g*x+f)^4,x)","\text{output too large to display}"," ",0,"1/3*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(c*g-d*f)*g^2/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*B*a*b*c+d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b^3*c^2*f*g-2*d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c*f*g-d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^2*b*f*g+3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(c*g-d*f)*g/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*B*a*b*f-3*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(c*g-d*f)*g/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*B*b^2*c*f-1/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*g^2*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c-5/3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^3*B*a*b*f+5/3*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^3*B*b^2*c*f-2/3*d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*g^3/(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)/(d*x+c)*B*b^2*c^2-2/3*d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(a^2*g^2-2*a*b*f*g+b^2*f^2)*g/(d*x+c)^3*B*b^2*c^2-5/3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(c*g-d*f)*g^2/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*B*a^2+1/3*d^3*A*g^2/(c*g-d*f)^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3+d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f^2-2*d*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b^3*c^2*f*g+2*d^3*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a^2*b*f*g+1/3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a^3*g^2-1/3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b^3*c^3*g^2+1/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^2*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*c^2*g^2+d^3*A/(c*g-d*f)^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)-1/3*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(a^2*g^2-2*a*b*f*g+b^2*f^2)*g/(d*x+c)^3*B*a*b*c+d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*a*b^2*f^2+d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*g*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*f-d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)/(d*x+c)^3*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)*b^3*c*f^2+d^3*A*g/(c*g-d*f)^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^2-4/3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*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)/(d*x+c)*B*a*b*f+4/3*d^2/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*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)/(d*x+c)*B*b^2*c*f+4/3*d/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(c*g-d*f)*g^2/(a^2*g^2-2*a*b*f*g+b^2*f^2)/(d*x+c)^2*B*b^2*c^2-2/3*d^3*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a^3*g^2+2/3*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b^3*c^3*g^2+1/3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*b^3*g^2*B/(a^3*g^3-3*a^2*b*f*g^2+3*a*b^2*f^2*g-b^3*f^3)*ln((1/(d*x+c)*a*d-1/(d*x+c)*b*c+b)^2/d^2*e)+2/3*d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3*g^3/(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)/(d*x+c)*B*a^2+d^3/(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)^3/(a^2*g^2-2*a*b*f*g+b^2*f^2)*g/(d*x+c)^3*B*a^2-2*d^3*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*a*b^2*f^2+2*d^2*B/(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)*ln(1/(d*x+c)*c*g-1/(d*x+c)*d*f-g)*b^3*c*f^2","B"
271,1,10401,370,0.446000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)/(g*x+f)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
272,0,0,853,1.348000," ","int((g*x+f)^3*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^3*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
273,0,0,522,1.236000," ","int((g*x+f)^2*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)^2*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
274,0,0,277,1.013000," ","int((g*x+f)*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((g*x+f)*(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
275,0,0,129,0.885000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
276,0,0,285,1.064000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f),x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{g x +f}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f),x)","F"
277,0,0,200,1.260000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^2,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^2,x)","F"
278,0,0,377,1.751000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^3,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^3,x)","F"
279,0,0,704,2.707000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^4,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{\left(g x +f \right)^{4}}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^4,x)","F"
280,0,0,1138,4.090000," ","int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^5,x)","\int \frac{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}{\left(g x +f \right)^{5}}\, dx"," ",0,"int((B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2/(g*x+f)^5,x)","F"
281,0,0,33,0.820000," ","int((g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{\left(g x +f \right)^{2}}{B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A}\, dx"," ",0,"int((g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
282,0,0,31,0.692000," ","int((g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{g x +f}{B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A}\, dx"," ",0,"int((g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
283,0,0,25,0.665000," ","int(1/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A}\, dx"," ",0,"int(1/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
284,0,0,33,0.845000," ","int(1/(g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
285,0,0,33,0.897000," ","int(1/(g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
286,0,0,33,1.046000," ","int(1/(g*x+f)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A),x)","F"
287,0,0,33,0.775000," ","int((g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{\left(g x +f \right)^{2}}{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
288,0,0,31,0.769000," ","int((g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{g x +f}{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int((g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
289,0,0,25,0.755000," ","int(1/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
290,0,0,33,1.049000," ","int(1/(g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right) \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
291,0,0,33,1.329000," ","int(1/(g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^2/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
292,0,0,33,1.918000," ","int(1/(g*x+f)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","\int \frac{1}{\left(g x +f \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right)^{2} e}{\left(d x +c \right)^{2}}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^3/(B*ln((b*x+a)^2/(d*x+c)^2*e)+A)^2,x)","F"
293,1,2576,351,0.656000," ","int((h*x+g)^4*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\text{Expression too large to display}"," ",0,"1/5*h^4*B*ln(e)*x^5+B*ln(e)*g^4*x+h^3*A*g*x^4+2*h^2*A*g^2*x^3+2*h*A*g^3*x^2+A*g^4*x+1/5*h^4*B*x^5*ln((b*x+a)^n)+ln((b*x+a)^n)*x*B*g^4-1/5*(h*x+g)^5*B/h*ln((d*x+c)^n)+1/2/d^2*h^3*B*c^2*g*n*x^2-1/d*h^2*B*c*g^2*n*x^2+h^3/b^3*B*a^3*g*n*x-2*h^2/b^2*B*a^2*g^2*n*x+2*h/b*B*a*g^3*n*x-1/d^3*h^3*B*c^3*g*n*x+2/d^2*h^2*B*c^2*g^2*n*x-2/d*h*B*c*g^3*n*x+I*h^2*B*Pi*g^2*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*h*B*Pi*g^3*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*h*B*Pi*g^3*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*h*B*Pi*g^3*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*h*B*Pi*g^3*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*h^2*B*Pi*g^2*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*h^2*B*Pi*g^2*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*h^2*B*Pi*g^2*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*B*Pi*g^4*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*h*B*Pi*g^3*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*h^2*B*Pi*g^2*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*h*B*Pi*g^3*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*h^3*B*Pi*g*x^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*h^3*B*Pi*g*x^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*h^2*B*Pi*g^2*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/5*h^4*A*x^5-2/d^3*h^2*B*ln(d*x+c)*c^3*g^2*n+2/d^2*h*B*ln(d*x+c)*c^2*g^3*n-h^3/b^4*B*ln(-b*x-a)*a^4*g*n+2*h^2/b^3*B*ln(-b*x-a)*a^3*g^2*n-2*h/b^2*B*ln(-b*x-a)*a^2*g^3*n+1/2*I*B*Pi*g^4*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g^4*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g^4*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g^4*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*h*B*Pi*g^3*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/10*I*h^4*B*Pi*x^5*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/10*I*h^4*B*Pi*x^5*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/10*I*h^4*B*Pi*x^5*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/10*I*h^4*B*Pi*x^5*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*h^3*B*Pi*g*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*h^3*B*Pi*g*x^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*h^2*B*Pi*g^2*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*h^2*B*Pi*g^2*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*h*B*Pi*g^3*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+h^3*B*g*x^4*ln((b*x+a)^n)+2*h^2*B*g^2*x^3*ln((b*x+a)^n)+2*h*B*g^3*x^2*ln((b*x+a)^n)+1/5/h*B*ln(d*x+c)*g^5*n+h^3*B*ln(e)*g*x^4+2*h^2*B*ln(e)*g^2*x^3+2*h*B*ln(e)*g^3*x^2-1/d*B*ln(d*x+c)*c*g^4*n+1/b*B*ln(-b*x-a)*a*g^4*n-1/5/d^5*h^4*B*ln(d*x+c)*c^5*n+1/5*h^4/b^5*B*ln(-b*x-a)*a^5*n-1/10*I*h^4*B*Pi*x^5*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/10*I*h^4*B*Pi*x^5*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*g^4*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*g^4*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/3*h^3/b*B*a*g*n*x^3-1/3/d*h^3*B*c*g*n*x^3-1/2*h^3/b^2*B*a^2*g*n*x^2+h^2/b*B*a*g^2*n*x^2+1/10*h^4/b^3*B*a^3*n*x^2-1/10/d^3*h^4*B*c^3*n*x^2-1/5*h^4/b^4*B*a^4*n*x+1/5/d^4*h^4*B*c^4*n*x+1/d^4*h^3*B*ln(d*x+c)*c^4*g*n-1/2*I*B*Pi*g^4*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I*h^3*B*Pi*g*x^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*h^3*B*Pi*g*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/10*I*h^4*B*Pi*x^5*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/10*I*h^4*B*Pi*x^5*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I*h^3*B*Pi*g*x^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*h^3*B*Pi*g*x^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/20*h^4/b*B*a*n*x^4-1/20/d*h^4*B*c*n*x^4-1/15*h^4/b^2*B*a^2*n*x^3+1/15/d^2*h^4*B*c^2*n*x^3","C"
294,1,1967,224,0.572000," ","int((h*x+g)^3*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","B \,g^{3} x \ln \left(\left(b x +a \right)^{n}\right)-\frac{\left(h x +g \right)^{4} B \ln \left(\left(d x +c \right)^{n}\right)}{4 h}-\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{8}-\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{8}-\frac{i \pi  B \,g^{3} x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B \,g^{3} x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{8}-\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{8}+\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{B \,g^{4} n \ln \left(-d x -c \right)}{4 h}+B g \,h^{2} x^{3} \ln \left(\left(b x +a \right)^{n}\right)+\frac{3 B \,g^{2} h \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)}{2}+B g \,h^{2} x^{3} \ln \left(e \right)+\frac{3 B \,g^{2} h \,x^{2} \ln \left(e \right)}{2}-\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}+\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+B \,g^{3} x \ln \left(e \right)+\frac{B \,h^{3} x^{4} \ln \left(\left(b x +a \right)^{n}\right)}{4}+\frac{B \,h^{3} x^{4} \ln \left(e \right)}{4}+\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}-\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,g^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}+\frac{B a \,h^{3} n \,x^{3}}{12 b}-\frac{B c \,h^{3} n \,x^{3}}{12 d}-\frac{B \,a^{2} h^{3} n \,x^{2}}{8 b^{2}}+\frac{B \,c^{2} h^{3} n \,x^{2}}{8 d^{2}}+\frac{B \,a^{3} h^{3} n x}{4 b^{3}}+A g \,h^{2} x^{3}+\frac{3 A \,g^{2} h \,x^{2}}{2}+A \,g^{3} x +\frac{B \,c^{4} h^{3} n \ln \left(-d x -c \right)}{4 d^{4}}-\frac{B \,a^{4} h^{3} n \ln \left(b x +a \right)}{4 b^{4}}-\frac{B c \,g^{3} n \ln \left(-d x -c \right)}{d}+\frac{B a \,g^{3} n \ln \left(b x +a \right)}{b}+\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}+\frac{i \pi  B \,h^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{8}-\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{A \,h^{3} x^{4}}{4}-\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{B \,c^{3} h^{3} n x}{4 d^{3}}-\frac{B \,c^{3} g \,h^{2} n \ln \left(-d x -c \right)}{d^{3}}+\frac{3 B \,c^{2} g^{2} h n \ln \left(-d x -c \right)}{2 d^{2}}+\frac{B \,a^{3} g \,h^{2} n \ln \left(b x +a \right)}{b^{3}}-\frac{3 B \,a^{2} g^{2} h n \ln \left(b x +a \right)}{2 b^{2}}-\frac{i \pi  B g \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{3 i \pi  B \,g^{2} h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}+\frac{B a g \,h^{2} n \,x^{2}}{2 b}-\frac{B c g \,h^{2} n \,x^{2}}{2 d}-\frac{B \,a^{2} g \,h^{2} n x}{b^{2}}+\frac{3 B a \,g^{2} h n x}{2 b}+\frac{B \,c^{2} g \,h^{2} n x}{d^{2}}-\frac{3 B c \,g^{2} h n x}{2 d}"," ",0,"ln((b*x+a)^n)*x*B*g^3-1/4*(h*x+g)^4*B/h*ln((d*x+c)^n)+1/4/h*B*ln(-d*x-c)*g^4*n+h^2*B*g*x^3*ln((b*x+a)^n)+3/2*h*B*g^2*x^2*ln((b*x+a)^n)+h^2*B*ln(e)*g*x^3+3/2*h*B*ln(e)*g^2*x^2+B*ln(e)*g^3*x+1/4*h^3*B*x^4*ln((b*x+a)^n)+1/4*h^3*B*ln(e)*x^4+3/4*I*h*B*Pi*g^2*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3/4*I*h*B*Pi*g^2*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*h^2*B*Pi*g*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+3/4*I*h*B*Pi*g^2*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+3/4*I*h*B*Pi*g^2*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/8*I*h^3*B*Pi*x^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/8*I*h^3*B*Pi*x^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I*h^2*B*Pi*g*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*h^2*B*Pi*g*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*h^2*B*Pi*g*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I*B*Pi*g^3*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*g^3*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/12*h^3/b*B*a*n*x^3-1/12/d*h^3*B*c*n*x^3-1/8*h^3/b^2*B*a^2*n*x^2+1/8/d^2*h^3*B*c^2*n*x^2+1/4*h^3/b^3*B*a^3*n*x+h^2*A*g*x^3+3/2*h*A*g^2*x^2+A*g^3*x+1/4/d^4*h^3*B*ln(-d*x-c)*c^4*n-1/4*h^3/b^4*B*ln(b*x+a)*a^4*n-1/d*B*ln(-d*x-c)*c*g^3*n+1/b*B*ln(b*x+a)*a*g^3*n-1/2*I*B*Pi*g^3*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*g^3*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/8*I*h^3*B*Pi*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/8*I*h^3*B*Pi*x^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/4*h^3*A*x^4-3/4*I*h*B*Pi*g^2*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*h^2*B*Pi*g*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-3/4*I*h*B*Pi*g^2*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*h^2*B*Pi*g*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/4/d^3*h^3*B*c^3*n*x-1/d^3*h^2*B*ln(-d*x-c)*c^3*g*n+3/2/d^2*h*B*ln(-d*x-c)*c^2*g^2*n+h^2/b^3*B*ln(b*x+a)*a^3*g*n-3/2*h/b^2*B*ln(b*x+a)*a^2*g^2*n-3/4*I*h*B*Pi*g^2*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-3/4*I*h*B*Pi*g^2*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/8*I*h^3*B*Pi*x^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/8*I*h^3*B*Pi*x^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*h^2*B*Pi*g*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*h^2*B*Pi*g*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/8*I*h^3*B*Pi*x^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g^3*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g^3*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g^3*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g^3*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/8*I*h^3*B*Pi*x^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*h^2/b*B*a*g*n*x^2-1/2/d*h^2*B*c*g*n*x^2-h^2/b^2*B*a^2*g*n*x+3/2*h/b*B*a*g^2*n*x+1/d^2*h^2*B*c^2*g*n*x-3/2/d*h*B*c*g^2*n*x","C"
295,1,1389,148,0.513000," ","int((h*x+g)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,g^{2} x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{\left(h x +g \right)^{3} B \ln \left(\left(d x +c \right)^{n}\right)}{3 h}+\frac{B a g h n x}{b}-\frac{B c g h n x}{d}+B \,g^{2} x \ln \left(\left(b x +a \right)^{n}\right)+\frac{B \,h^{2} x^{3} \ln \left(e \right)}{3}+\frac{B \,h^{2} x^{3} \ln \left(\left(b x +a \right)^{n}\right)}{3}+B \,g^{2} x \ln \left(e \right)-\frac{B \,a^{2} h^{2} n x}{3 b^{2}}+\frac{B \,c^{2} h^{2} n x}{3 d^{2}}+\frac{B \,c^{2} g h n \ln \left(d x +c \right)}{d^{2}}-\frac{B \,a^{2} g h n \ln \left(-b x -a \right)}{b^{2}}+\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}+\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{6}-\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{A \,h^{2} x^{3}}{3}+\frac{B \,g^{3} n \ln \left(d x +c \right)}{3 h}+B g h \,x^{2} \ln \left(e \right)+B g h \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)+A g h \,x^{2}+A \,g^{2} x -\frac{i \pi  B \,g^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{6}-\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{6}+\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{B c \,h^{2} n \,x^{2}}{6 d}-\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B g h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{B c \,g^{2} n \ln \left(d x +c \right)}{d}+\frac{B a \,g^{2} n \ln \left(-b x -a \right)}{b}-\frac{B \,c^{3} h^{2} n \ln \left(d x +c \right)}{3 d^{3}}+\frac{B \,a^{3} h^{2} n \ln \left(-b x -a \right)}{3 b^{3}}-\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{6}-\frac{i \pi  B \,h^{2} x^{3} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{6}-\frac{i \pi  B \,g^{2} x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}+\frac{B a \,h^{2} n \,x^{2}}{6 b}"," ",0,"-1/3*(h*x+g)^3*B/h*ln((d*x+c)^n)+h/b*B*a*g*n*x-1/d*h*B*c*g*n*x+ln((b*x+a)^n)*x*B*g^2+1/3*h^2*B*ln(e)*x^3+1/3*h^2*B*x^3*ln((b*x+a)^n)+B*ln(e)*g^2*x-1/3*h^2/b^2*B*a^2*n*x+1/3/d^2*h^2*B*c^2*n*x+1/d^2*h*B*ln(d*x+c)*c^2*g*n-h/b^2*B*ln(-b*x-a)*a^2*g*n+1/2*I*B*Pi*g^2*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g^2*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g^2*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/6*I*h^2*B*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/6*I*h^2*B*Pi*x^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/6*I*h^2*B*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/6*I*h^2*B*Pi*x^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*g^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*B*Pi*g^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I*h*B*Pi*g*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*h*B*Pi*g*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*h*B*Pi*g*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*h*B*Pi*g*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/3*h^2*A*x^3+1/3/h*B*ln(d*x+c)*g^3*n+h*B*ln(e)*g*x^2+h*B*g*x^2*ln((b*x+a)^n)+1/6*I*h^2*B*Pi*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/6*I*h^2*B*Pi*x^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*h*B*Pi*g*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*h*B*Pi*g*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+h*A*g*x^2+A*g^2*x-1/6/d*h^2*B*c*n*x^2-1/d*B*ln(d*x+c)*c*g^2*n+1/b*B*ln(-b*x-a)*a*g^2*n-1/3/d^3*h^2*B*ln(d*x+c)*c^3*n+1/3*h^2/b^3*B*ln(-b*x-a)*a^3*n-1/6*I*h^2*B*Pi*x^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/6*I*h^2*B*Pi*x^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*g^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*g^2*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*h*B*Pi*g*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I*h*B*Pi*g*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/6*h^2/b*B*a*n*x^2","C"
296,1,839,108,0.452000," ","int((h*x+g)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\frac{A h \,x^{2}}{2}+A g x -\frac{\left(h x +2 g \right) B x \ln \left(\left(d x +c \right)^{n}\right)}{2}+\frac{B h \,x^{2} \ln \left(\left(b x +a \right)^{n}\right)}{2}+B g x \ln \left(\left(b x +a \right)^{n}\right)+\frac{B h \,x^{2} \ln \left(e \right)}{2}+B g x \ln \left(e \right)-\frac{i \pi  B g x \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{i \pi  B g x \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{2}-\frac{B \,a^{2} h n \ln \left(b x +a \right)}{2 b^{2}}+\frac{B a g n \ln \left(b x +a \right)}{b}+\frac{B \,c^{2} h n \ln \left(-d x -c \right)}{2 d^{2}}-\frac{B c g n \ln \left(-d x -c \right)}{d}+\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{4}+\frac{i \pi  B g x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g x \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}+\frac{i \pi  B g x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}}{2}-\frac{i \pi  B g x \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{i \pi  B g x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2}-\frac{B c h n x}{2 d}-\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}}{4}-\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}-\frac{i \pi  B h \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{4}+\frac{B a h n x}{2 b}"," ",0,"1/2*A*h*x^2+A*g*x-1/2*B*x*(h*x+2*g)*ln((d*x+c)^n)+1/2*ln((b*x+a)^n)*x^2*B*h+ln((b*x+a)^n)*x*B*g+1/2*B*ln(e)*h*x^2+B*ln(e)*g*x+1/4*I*B*Pi*h*x^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/4*I*B*Pi*h*x^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2/b^2*B*ln(b*x+a)*a^2*h*n+1/b*B*ln(b*x+a)*a*g*n+1/2/d^2*B*ln(-d*x-c)*c^2*h*n-1/d*B*ln(-d*x-c)*c*g*n-1/4*I*B*Pi*h*x^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/4*I*B*Pi*h*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I*B*Pi*g*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*B*Pi*g*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2/d*B*c*h*n*x+1/2*I*B*Pi*g*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*B*Pi*g*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I*B*Pi*g*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/4*I*B*Pi*h*x^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/4*I*B*Pi*h*x^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I*B*Pi*g*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I*B*Pi*g*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/4*I*B*Pi*h*x^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/4*I*B*Pi*h*x^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2/b*B*a*h*n*x","C"
297,1,123,57,0.051000," ","int(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)),x)","\frac{B \,a^{2} d n \ln \left(b x +a \right)}{\left(a d -b c \right) b}-\frac{B a c n \ln \left(b x +a \right)}{a d -b c}-\frac{B a c n \ln \left(d x +c \right)}{a d -b c}+\frac{B b \,c^{2} n \ln \left(d x +c \right)}{\left(a d -b c \right) d}+B x \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A x"," ",0,"A*x+B*x*ln(e*(b*x+a)^n/((d*x+c)^n))-1/(a*d-b*c)*B*a*c*n*ln(d*x+c)+1/(a*d-b*c)*B*b*c^2/d*n*ln(d*x+c)+1/(a*d-b*c)*B*a^2/b*d*n*ln(b*x+a)-1/(a*d-b*c)*B*a*c*n*ln(b*x+a)","B"
298,1,597,148,0.454000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g),x)","-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(h x +g \right)}{2 h}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(h x +g \right)}{2 h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(h x +g \right)}{2 h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(h x +g \right)}{2 h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(h x +g \right)}{2 h}-\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(h x +g \right)}{2 h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(h x +g \right)}{2 h}-\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(h x +g \right)}{2 h}-\frac{B n \ln \left(\frac{a h -b g +\left(h x +g \right) b}{a h -b g}\right) \ln \left(h x +g \right)}{h}+\frac{B n \ln \left(\frac{c h -d g +\left(h x +g \right) d}{c h -d g}\right) \ln \left(h x +g \right)}{h}-\frac{B n \dilog \left(\frac{a h -b g +\left(h x +g \right) b}{a h -b g}\right)}{h}+\frac{B n \dilog \left(\frac{c h -d g +\left(h x +g \right) d}{c h -d g}\right)}{h}+\frac{B \ln \left(e \right) \ln \left(h x +g \right)}{h}+\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(h x +g \right)}{h}-\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(h x +g \right)}{h}+\frac{A \ln \left(h x +g \right)}{h}"," ",0,"-1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*ln(h*x+g)/h*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I*ln(h*x+g)/h*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+ln(h*x+g)/h*B*ln(e)+A*ln(h*x+g)/h+B*ln(h*x+g)/h*ln((b*x+a)^n)-B/h*n*dilog((b*(h*x+g)+a*h-b*g)/(a*h-b*g))-B/h*n*ln(h*x+g)*ln((b*(h*x+g)+a*h-b*g)/(a*h-b*g))-B*ln(h*x+g)/h*ln((d*x+c)^n)+B/h*n*dilog(((h*x+g)*d+c*h-d*g)/(c*h-d*g))+B/h*n*ln(h*x+g)*ln(((h*x+g)*d+c*h-d*g)/(c*h-d*g))","C"
299,1,1796,122,0.526000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^2,x)","\frac{B \ln \left(\left(d x +c \right)^{n}\right)}{\left(h x +g \right) h}-\frac{2 A a c \,h^{2}+2 A b d \,g^{2}+i \pi  B a c \,h^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B a c \,h^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B a c \,h^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B a c \,h^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B a d g h \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B a d g h \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B b c g h \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B b c g h \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B b d \,g^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b d \,g^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b d \,g^{2} \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B b d \,g^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a c \,h^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B a c \,h^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B b d \,g^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}-i \pi  B b d \,g^{2} \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B b c g h \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-2 A a d g h -2 A b c g h +2 B a d \,h^{2} n x \ln \left(h x +g \right)-2 B b c \,h^{2} n x \ln \left(h x +g \right)-2 B a d \,h^{2} n x \ln \left(-d x -c \right)+2 B b c \,h^{2} n x \ln \left(-b x -a \right)+2 B a d g h n \ln \left(h x +g \right)-2 B b c g h n \ln \left(h x +g \right)-2 B a d g h n \ln \left(-d x -c \right)+2 B b c g h n \ln \left(-b x -a \right)+2 B a c \,h^{2} \ln \left(\left(b x +a \right)^{n}\right)+2 B b d \,g^{2} \ln \left(\left(b x +a \right)^{n}\right)-i \pi  B a c \,h^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B a c \,h^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B a d g h \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d g h \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B a d g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B b c g h \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B b c g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B b c g h \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B b c g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B b d \,g^{2} \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)-i \pi  B b d \,g^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+2 B b d \,g^{2} n \ln \left(-d x -c \right)-2 B b d \,g^{2} n \ln \left(-b x -a \right)-2 B a d g h \ln \left(\left(b x +a \right)^{n}\right)-2 B b c g h \ln \left(\left(b x +a \right)^{n}\right)+2 B a c \,h^{2} \ln \left(e \right)+2 B b d \,g^{2} \ln \left(e \right)+i \pi  B b c g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+2 B b d g h n x \ln \left(-d x -c \right)-2 B b d g h n x \ln \left(-b x -a \right)-2 B b c g h \ln \left(e \right)-2 B a d g h \ln \left(e \right)+i \pi  B a d g h \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B a d g h \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}{2 \left(h x +g \right) \left(a c \,h^{2}-a d h g -b c h g +b d \,g^{2}\right) h}"," ",0,"B/h/(h*x+g)*ln((d*x+c)^n)-1/2*(2*A*a*c*h^2+2*A*b*d*g^2-I*B*Pi*b*c*h*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*g-I*B*Pi*b*c*h*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*g-I*B*Pi*a*d*h*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*g-I*B*Pi*b*d*g^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*B*Pi*a*d*h*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*g-I*B*Pi*a*c*h^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*B*Pi*b*d*g^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*a*d*h*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*g+I*B*Pi*b*c*h*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)*g-I*B*Pi*a*d*h*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*g-I*B*Pi*a*d*h*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*g+I*B*Pi*a*c*h^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*a*c*h^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*a*c*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a*d*h*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*g-2*A*a*d*h*g-2*A*b*c*h*g+2*B*ln(h*x+g)*a*d*h^2*n*x-2*B*ln(h*x+g)*b*c*h^2*n*x-2*B*ln(-d*x-c)*a*d*h^2*n*x+2*B*ln(-b*x-a)*b*c*h^2*n*x+2*B*ln(h*x+g)*a*d*g*h*n-2*B*ln(h*x+g)*b*c*g*h*n-2*B*ln(-d*x-c)*a*d*g*h*n+2*B*ln(-b*x-a)*b*c*g*h*n+2*B*a*c*h^2*ln((b*x+a)^n)+2*B*b*d*g^2*ln((b*x+a)^n)+I*B*Pi*b*d*g^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a*c*h^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*b*c*h*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*g-I*B*Pi*a*c*h^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-I*B*Pi*b*c*h*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*g+2*B*ln(-d*x-c)*b*d*g^2*n-2*B*ln(-b*x-a)*b*d*g^2*n+I*B*Pi*b*c*h*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*g+I*B*Pi*a*d*h*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)*g-I*B*Pi*b*d*g^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*b*d*g^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*b*d*g^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b*d*g^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b*c*h*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3*g+I*B*Pi*b*d*g^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*B*a*d*g*h*ln((b*x+a)^n)-2*B*b*c*g*h*ln((b*x+a)^n)+2*B*ln(e)*a*c*h^2+2*B*ln(e)*b*d*g^2-I*B*Pi*a*c*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*a*c*h^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*a*d*h*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3*g+I*B*Pi*b*c*h*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*g+2*B*ln(-d*x-c)*b*d*g*h*n*x-2*B*ln(-b*x-a)*b*d*g*h*n*x-2*B*ln(e)*b*c*h*g-2*B*ln(e)*a*d*h*g)/(h*x+g)/(a*c*h^2-a*d*g*h-b*c*g*h+b*d*g^2)/h","C"
300,1,4925,184,0.843000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^3,x)","\text{output too large to display}"," ",0,"1/2*B/h/(h*x+g)^2*ln((d*x+c)^n)-1/4*(-2*I*B*Pi*b^2*c*d*g^3*h*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-2*B*a^2*c*d*h^4*n*x+2*B*a^2*d^2*g*h^3*n*x+2*B*a*b*c^2*h^4*n*x-2*B*b^2*c^2*g*h^3*n*x+2*A*a^2*c^2*h^4+2*A*b^2*d^2*g^4+2*B*a^2*d^2*g^2*h^2*n-2*B*b^2*c^2*g^2*h^2*n+2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*a^2*c^2*h^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*A*b^2*c^2*g^2*h^2-2*B*ln(-h*x-g)*a^2*d^2*h^4*n*x^2+2*B*ln(-h*x-g)*b^2*c^2*h^4*n*x^2+2*B*ln(-d*x-c)*a^2*d^2*h^4*n*x^2-2*B*ln(b*x+a)*b^2*c^2*h^4*n*x^2-2*B*ln(-h*x-g)*a^2*d^2*g^2*h^2*n+2*B*ln(-h*x-g)*b^2*c^2*g^2*h^2*n+2*B*ln(-d*x-c)*a^2*d^2*g^2*h^2*n-2*B*ln(b*x+a)*b^2*c^2*g^2*h^2*n+I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*a^2*d^2*g^2*h^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*b^2*d^2*g^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-4*B*ln(-h*x-g)*a^2*d^2*g*h^3*n*x+4*B*ln(-h*x-g)*b^2*c^2*g*h^3*n*x+4*B*ln(-d*x-c)*a^2*d^2*g*h^3*n*x+4*B*ln(-d*x-c)*b^2*d^2*g^3*h*n*x-4*B*ln(b*x+a)*b^2*c^2*g*h^3*n*x-4*B*ln(b*x+a)*b^2*d^2*g^3*h*n*x+4*B*ln(-h*x-g)*a*b*d^2*g^3*h*n-4*B*ln(-h*x-g)*b^2*c*d*g^3*h*n-4*B*ln(-d*x-c)*a*b*d^2*g^3*h*n+4*B*ln(b*x+a)*b^2*c*d*g^3*h*n+2*B*ln(-d*x-c)*b^2*d^2*g^2*h^2*n*x^2-2*B*ln(b*x+a)*b^2*d^2*g^2*h^2*n*x^2-2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+2*A*a^2*d^2*g^2*h^2-2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-2*I*B*Pi*a^2*c*d*g*h^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+8*A*a*b*c*d*g^2*h^2-I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*a^2*c^2*h^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*a^2*c^2*h^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*d^2*g^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*d^2*g^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b^2*d^2*g^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+8*B*ln(e)*a*b*c*d*g^2*h^2+2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*B*ln(e)*a^2*d^2*g^2*h^2+2*B*ln(e)*b^2*c^2*g^2*h^2+2*B*a^2*d^2*g^2*h^2*ln((b*x+a)^n)+2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*b^2*d^2*g^4*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*B*ln(e)*a^2*c^2*h^4+2*B*ln(e)*b^2*d^2*g^4+2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+2*B*ln(-d*x-c)*b^2*d^2*g^4*n-2*B*ln(b*x+a)*b^2*d^2*g^4*n+2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+2*I*B*Pi*a*b*d^2*g^3*h*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-4*B*a*b*d^2*g^3*h*ln((b*x+a)^n)-4*B*b^2*c*d*g^3*h*ln((b*x+a)^n)-4*B*a^2*c*d*g*h^3*ln((b*x+a)^n)-4*B*a*b*c^2*g*h^3*ln((b*x+a)^n)-I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b^2*c^2*g^2*h^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+2*B*b^2*c^2*g^2*h^2*ln((b*x+a)^n)-I*B*Pi*b^2*d^2*g^4*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a^2*d^2*g^2*h^2*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-4*B*ln(e)*a^2*c*d*g*h^3-4*B*ln(e)*a*b*c^2*g*h^3-4*B*ln(e)*a*b*d^2*g^3*h-4*B*ln(e)*b^2*c*d*g^3*h-2*I*B*Pi*a*b*d^2*g^3*h*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-4*A*a^2*c*d*g*h^3-4*A*a*b*c^2*g*h^3-4*A*a*b*d^2*g^3*h+2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-4*A*b^2*c*d*g^3*h-2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+8*B*a*b*c*d*g^2*h^2*ln((b*x+a)^n)-2*B*a*b*d^2*g^2*h^2*n*x+2*B*b^2*c*d*g^2*h^2*n*x-2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-2*I*B*Pi*a*b*c^2*g*h^3*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-2*I*B*Pi*a*b*c^2*g*h^3*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*b^2*d^2*g^4*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a^2*c^2*h^4*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*a^2*c^2*h^4*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*a^2*c^2*h^4*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*b^2*c^2*g^2*h^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*a^2*c^2*h^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*a^2*c^2*h^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B*Pi*b^2*d^2*g^4*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-4*B*ln(-d*x-c)*a*b*d^2*g*h^3*n*x^2+4*B*ln(b*x+a)*b^2*c*d*g*h^3*n*x^2+8*B*ln(-h*x-g)*a*b*d^2*g^2*h^2*n*x-8*B*ln(-h*x-g)*b^2*c*d*g^2*h^2*n*x-8*B*ln(-d*x-c)*a*b*d^2*g^2*h^2*n*x+8*B*ln(b*x+a)*b^2*c*d*g^2*h^2*n*x+4*B*ln(-h*x-g)*a*b*d^2*g*h^3*n*x^2-4*B*ln(-h*x-g)*b^2*c*d*g*h^3*n*x^2+2*I*B*Pi*a^2*c*d*g*h^3*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+2*I*B*Pi*b^2*c*d*g^3*h*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+2*B*a^2*c^2*h^4*ln((b*x+a)^n)+2*B*b^2*d^2*g^4*ln((b*x+a)^n)-4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+4*I*B*Pi*a*b*c*d*g^2*h^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-2*B*a^2*c*d*g*h^3*n+2*B*a*b*c^2*g*h^3*n-2*B*a*b*d^2*g^3*h*n+2*B*b^2*c*d*g^3*h*n)/(h*x+g)^2/(a*c*h^2-a*d*g*h-b*c*g*h+b*d*g^2)/(-c*h+d*g)/h/(-a*h+b*g)","C"
301,1,9645,275,1.191000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
302,1,16077,378,1.728000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^5,x)","\text{output too large to display}"," ",0,"result too large to display","C"
303,1,22955,550,4.816000," ","int((h*x+g)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
304,1,11007,290,2.711000," ","int((h*x+g)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
305,1,4749,137,1.323000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\text{output too large to display}"," ",0,"I*A*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*x+I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/4*B^2*Pi^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^4+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^5-1/4*B^2*Pi^2*x*csgn(I*e)^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^4-1/4*B^2*Pi^2*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^6+B^2*a/b*ln((b*x+a)^n)^2+2*B*x*ln((b*x+a)^n)*A-1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B^2*ln(e)*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*x-I*B^2*ln(e)*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*x-I*A*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)*x+2*A*B*ln(e)*x-2*n^2*B^2*c/d+2*x*ln((b*x+a)^n)*B^2*ln(e)+B^2*ln(e)^2*x-I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+B^2*x*ln((d*x+c)^n)^2+B^2*x*ln((b*x+a)^n)^2-1/4*B^2*Pi^2*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^6-I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I*B^2*ln(e)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*x-I*B^2*ln(e)*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3*x-I*A*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*x-I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+(-2*B^2*ln((b*x+a)^n)*x-B*(-I*B*Pi*b*d*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*b*d*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*b*d*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*b*d*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*b*d*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*b*d*x*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*b*d*x*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*b*d*x*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*B*ln(e)*b*d*x+2*B*a*d*n*ln(b*x+a)-2*B*ln(d*x+c)*b*c*n+2*A*b*d*x)/b/d)*ln((d*x+c)^n)-1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^4-1/4*B^2*Pi^2*x*csgn(I*(b*x+a)^n)^2*csgn(I/((d*x+c)^n))^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)^2*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^4+2/b*A*B*ln(b*x+a)*a*n-I*A*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*x-I*A*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3*x-2/d*n*B^2*ln((b*x+a)^n)*c*ln(d*x+c)+I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*x*ln((b*x+a)^n)*B^2*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+A^2*x-2*B*c*n/d*ln(d*x+c)*A+2/b*B^2*a*n^2*ln(b*x+a)*ln((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))+2/b*B^2*ln(b*x+a)*ln(e)*a*n-2*B^2*c*n/d*ln(d*x+c)*ln(e)+I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*A*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*x+I*A*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*x-I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/4*B^2*Pi^2*x*csgn(I/((d*x+c)^n))^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^4+1/2*B^2*Pi^2*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^5+2*B^2*a*n^2/b-I*B^2*ln(e)*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)*x-I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+2*n^2*B^2*c/d*ln(d*x+c)*ln((b*(d*x+c)+a*d-b*c)/(a*d-b*c))+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^5-1/4*B^2*Pi^2*x*csgn(I*(b*x+a)^n)^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^4+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^5-n^2*B^2*c/d*ln(d*x+c)^2-1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B^2*Pi^2*x*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*B^2*Pi^2*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^3*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B^2*Pi^2*x*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+2*n^2*B^2*c/d*dilog((b*(d*x+c)+a*d-b*c)/(a*d-b*c))+2/b*B^2*a*n^2*dilog((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))+2*n^2*B^2/b*a*ln(b*(d*x+c)+a*d-b*c)-2*B^2/b*a*n*ln((b*x+a)^n)+I*B^2*ln(e)*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*x+I*B^2*ln(e)*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*x+I*B^2*ln(e)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*x+I*A*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2*x-1/4*B^2*Pi^2*x*csgn(I*e)^2*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*B^2*Pi^2*x*csgn(I*e)^2*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))^4*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*B^2*Pi^2*x*csgn(I*e)*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I/b*B^2*ln(b*x+a)*Pi*a*n*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B^2*c*n/d*ln(d*x+c)*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)","C"
306,0,0,301,2.627000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{h x +g}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g),x)","F"
307,0,0,208,4.454000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^2,x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^2,x)","F"
308,0,0,389,1.962000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^3,x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^3,x)","F"
309,0,0,869,8.289000," ","int((h*x+g)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(h x +g \right)^{2} \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((h*x+g)^2*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
310,0,0,458,8.961000," ","int((h*x+g)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(h x +g \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((h*x+g)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
311,0,0,203,4.517000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\int \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","F"
312,0,0,425,3.758000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{h x +g}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g),x)","F"
313,0,0,302,3.364000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^2,x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^2,x)","F"
314,0,0,621,5.694000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^3,x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^3,x)","F"