1,1,19,0,0.0075869,"\int x^3 \log (c x) \, dx","Int[x^3*Log[c*x],x]","\frac{1}{4} x^4 \log (c x)-\frac{x^4}{16}","\frac{1}{4} x^4 \log (c x)-\frac{x^4}{16}",1,"-x^4/16 + (x^4*Log[c*x])/4","A",1,1,8,0.1250,1,"{2304}"
2,1,19,0,0.0066558,"\int x^2 \log (c x) \, dx","Int[x^2*Log[c*x],x]","\frac{1}{3} x^3 \log (c x)-\frac{x^3}{9}","\frac{1}{3} x^3 \log (c x)-\frac{x^3}{9}",1,"-x^3/9 + (x^3*Log[c*x])/3","A",1,1,8,0.1250,1,"{2304}"
3,1,19,0,0.0039277,"\int x \log (c x) \, dx","Int[x*Log[c*x],x]","\frac{1}{2} x^2 \log (c x)-\frac{x^2}{4}","\frac{1}{2} x^2 \log (c x)-\frac{x^2}{4}",1,"-x^2/4 + (x^2*Log[c*x])/2","A",1,1,6,0.1667,1,"{2304}"
4,1,10,0,0.0013316,"\int \log (c x) \, dx","Int[Log[c*x],x]","x \log (c x)-x","x \log (c x)-x",1,"-x + x*Log[c*x]","A",1,1,4,0.2500,1,"{2295}"
5,1,10,0,0.0059887,"\int \frac{\log (c x)}{x} \, dx","Int[Log[c*x]/x,x]","\frac{1}{2} \log ^2(c x)","\frac{1}{2} \log ^2(c x)",1,"Log[c*x]^2/2","A",1,1,8,0.1250,1,"{2301}"
6,1,15,0,0.0071283,"\int \frac{\log (c x)}{x^2} \, dx","Int[Log[c*x]/x^2,x]","-\frac{\log (c x)}{x}-\frac{1}{x}","-\frac{\log (c x)}{x}-\frac{1}{x}",1,"-x^(-1) - Log[c*x]/x","A",1,1,8,0.1250,1,"{2304}"
7,1,19,0,0.0066814,"\int \frac{\log (c x)}{x^3} \, dx","Int[Log[c*x]/x^3,x]","-\frac{\log (c x)}{2 x^2}-\frac{1}{4 x^2}","-\frac{\log (c x)}{2 x^2}-\frac{1}{4 x^2}",1,"-1/(4*x^2) - Log[c*x]/(2*x^2)","A",1,1,8,0.1250,1,"{2304}"
8,1,32,0,0.0199876,"\int x^3 \log ^2(c x) \, dx","Int[x^3*Log[c*x]^2,x]","\frac{1}{4} x^4 \log ^2(c x)-\frac{1}{8} x^4 \log (c x)+\frac{x^4}{32}","\frac{1}{4} x^4 \log ^2(c x)-\frac{1}{8} x^4 \log (c x)+\frac{x^4}{32}",1,"x^4/32 - (x^4*Log[c*x])/8 + (x^4*Log[c*x]^2)/4","A",2,2,10,0.2000,1,"{2305, 2304}"
9,1,32,0,0.0197903,"\int x^2 \log ^2(c x) \, dx","Int[x^2*Log[c*x]^2,x]","\frac{1}{3} x^3 \log ^2(c x)-\frac{2}{9} x^3 \log (c x)+\frac{2 x^3}{27}","\frac{1}{3} x^3 \log ^2(c x)-\frac{2}{9} x^3 \log (c x)+\frac{2 x^3}{27}",1,"(2*x^3)/27 - (2*x^3*Log[c*x])/9 + (x^3*Log[c*x]^2)/3","A",2,2,10,0.2000,1,"{2305, 2304}"
10,1,32,0,0.0108939,"\int x \log ^2(c x) \, dx","Int[x*Log[c*x]^2,x]","\frac{1}{2} x^2 \log ^2(c x)-\frac{1}{2} x^2 \log (c x)+\frac{x^2}{4}","\frac{1}{2} x^2 \log ^2(c x)-\frac{1}{2} x^2 \log (c x)+\frac{x^2}{4}",1,"x^2/4 - (x^2*Log[c*x])/2 + (x^2*Log[c*x]^2)/2","A",2,2,8,0.2500,1,"{2305, 2304}"
11,1,19,0,0.0045393,"\int \log ^2(c x) \, dx","Int[Log[c*x]^2,x]","x \log ^2(c x)-2 x \log (c x)+2 x","x \log ^2(c x)-2 x \log (c x)+2 x",1,"2*x - 2*x*Log[c*x] + x*Log[c*x]^2","A",2,2,6,0.3333,1,"{2296, 2295}"
12,1,10,0,0.0121408,"\int \frac{\log ^2(c x)}{x} \, dx","Int[Log[c*x]^2/x,x]","\frac{1}{3} \log ^3(c x)","\frac{1}{3} \log ^3(c x)",1,"Log[c*x]^3/3","A",2,2,10,0.2000,1,"{2302, 30}"
13,1,26,0,0.0197428,"\int \frac{\log ^2(c x)}{x^2} \, dx","Int[Log[c*x]^2/x^2,x]","-\frac{\log ^2(c x)}{x}-\frac{2 \log (c x)}{x}-\frac{2}{x}","-\frac{\log ^2(c x)}{x}-\frac{2 \log (c x)}{x}-\frac{2}{x}",1,"-2/x - (2*Log[c*x])/x - Log[c*x]^2/x","A",2,2,10,0.2000,1,"{2305, 2304}"
14,1,32,0,0.0189641,"\int \frac{\log ^2(c x)}{x^3} \, dx","Int[Log[c*x]^2/x^3,x]","-\frac{\log ^2(c x)}{2 x^2}-\frac{\log (c x)}{2 x^2}-\frac{1}{4 x^2}","-\frac{\log ^2(c x)}{2 x^2}-\frac{\log (c x)}{2 x^2}-\frac{1}{4 x^2}",1,"-1/(4*x^2) - Log[c*x]/(2*x^2) - Log[c*x]^2/(2*x^2)","A",2,2,10,0.2000,1,"{2305, 2304}"
15,1,45,0,0.03594,"\int x^3 \log ^3(c x) \, dx","Int[x^3*Log[c*x]^3,x]","\frac{1}{4} x^4 \log ^3(c x)-\frac{3}{16} x^4 \log ^2(c x)+\frac{3}{32} x^4 \log (c x)-\frac{3 x^4}{128}","\frac{1}{4} x^4 \log ^3(c x)-\frac{3}{16} x^4 \log ^2(c x)+\frac{3}{32} x^4 \log (c x)-\frac{3 x^4}{128}",1,"(-3*x^4)/128 + (3*x^4*Log[c*x])/32 - (3*x^4*Log[c*x]^2)/16 + (x^4*Log[c*x]^3)/4","A",3,2,10,0.2000,1,"{2305, 2304}"
16,1,45,0,0.0314186,"\int x^2 \log ^3(c x) \, dx","Int[x^2*Log[c*x]^3,x]","\frac{1}{3} x^3 \log ^3(c x)-\frac{1}{3} x^3 \log ^2(c x)+\frac{2}{9} x^3 \log (c x)-\frac{2 x^3}{27}","\frac{1}{3} x^3 \log ^3(c x)-\frac{1}{3} x^3 \log ^2(c x)+\frac{2}{9} x^3 \log (c x)-\frac{2 x^3}{27}",1,"(-2*x^3)/27 + (2*x^3*Log[c*x])/9 - (x^3*Log[c*x]^2)/3 + (x^3*Log[c*x]^3)/3","A",3,2,10,0.2000,1,"{2305, 2304}"
17,1,45,0,0.0181902,"\int x \log ^3(c x) \, dx","Int[x*Log[c*x]^3,x]","\frac{1}{2} x^2 \log ^3(c x)-\frac{3}{4} x^2 \log ^2(c x)+\frac{3}{4} x^2 \log (c x)-\frac{3 x^2}{8}","\frac{1}{2} x^2 \log ^3(c x)-\frac{3}{4} x^2 \log ^2(c x)+\frac{3}{4} x^2 \log (c x)-\frac{3 x^2}{8}",1,"(-3*x^2)/8 + (3*x^2*Log[c*x])/4 - (3*x^2*Log[c*x]^2)/4 + (x^2*Log[c*x]^3)/2","A",3,2,8,0.2500,1,"{2305, 2304}"
18,1,28,0,0.0079641,"\int \log ^3(c x) \, dx","Int[Log[c*x]^3,x]","x \log ^3(c x)-3 x \log ^2(c x)+6 x \log (c x)-6 x","x \log ^3(c x)-3 x \log ^2(c x)+6 x \log (c x)-6 x",1,"-6*x + 6*x*Log[c*x] - 3*x*Log[c*x]^2 + x*Log[c*x]^3","A",3,2,6,0.3333,1,"{2296, 2295}"
19,1,10,0,0.0112918,"\int \frac{\log ^3(c x)}{x} \, dx","Int[Log[c*x]^3/x,x]","\frac{1}{4} \log ^4(c x)","\frac{1}{4} \log ^4(c x)",1,"Log[c*x]^4/4","A",2,2,10,0.2000,1,"{2302, 30}"
20,1,37,0,0.0339765,"\int \frac{\log ^3(c x)}{x^2} \, dx","Int[Log[c*x]^3/x^2,x]","-\frac{\log ^3(c x)}{x}-\frac{3 \log ^2(c x)}{x}-\frac{6 \log (c x)}{x}-\frac{6}{x}","-\frac{\log ^3(c x)}{x}-\frac{3 \log ^2(c x)}{x}-\frac{6 \log (c x)}{x}-\frac{6}{x}",1,"-6/x - (6*Log[c*x])/x - (3*Log[c*x]^2)/x - Log[c*x]^3/x","A",3,2,10,0.2000,1,"{2305, 2304}"
21,1,45,0,0.0331861,"\int \frac{\log ^3(c x)}{x^3} \, dx","Int[Log[c*x]^3/x^3,x]","-\frac{\log ^3(c x)}{2 x^2}-\frac{3 \log ^2(c x)}{4 x^2}-\frac{3 \log (c x)}{4 x^2}-\frac{3}{8 x^2}","-\frac{\log ^3(c x)}{2 x^2}-\frac{3 \log ^2(c x)}{4 x^2}-\frac{3 \log (c x)}{4 x^2}-\frac{3}{8 x^2}",1,"-3/(8*x^2) - (3*Log[c*x])/(4*x^2) - (3*Log[c*x]^2)/(4*x^2) - Log[c*x]^3/(2*x^2)","A",3,2,10,0.2000,1,"{2305, 2304}"
22,1,11,0,0.0238933,"\int \frac{x^3}{\log (c x)} \, dx","Int[x^3/Log[c*x],x]","\frac{\text{Ei}(4 \log (c x))}{c^4}","\frac{\text{Ei}(4 \log (c x))}{c^4}",1,"ExpIntegralEi[4*Log[c*x]]/c^4","A",2,2,10,0.2000,1,"{2309, 2178}"
23,1,11,0,0.0234093,"\int \frac{x^2}{\log (c x)} \, dx","Int[x^2/Log[c*x],x]","\frac{\text{Ei}(3 \log (c x))}{c^3}","\frac{\text{Ei}(3 \log (c x))}{c^3}",1,"ExpIntegralEi[3*Log[c*x]]/c^3","A",2,2,10,0.2000,1,"{2309, 2178}"
24,1,11,0,0.0174104,"\int \frac{x}{\log (c x)} \, dx","Int[x/Log[c*x],x]","\frac{\text{Ei}(2 \log (c x))}{c^2}","\frac{\text{Ei}(2 \log (c x))}{c^2}",1,"ExpIntegralEi[2*Log[c*x]]/c^2","A",2,2,8,0.2500,1,"{2309, 2178}"
25,1,8,0,0.0028761,"\int \frac{1}{\log (c x)} \, dx","Int[Log[c*x]^(-1),x]","\frac{\text{li}(c x)}{c}","\frac{\text{li}(c x)}{c}",1,"LogIntegral[c*x]/c","A",1,1,6,0.1667,1,"{2298}"
26,1,5,0,0.0116483,"\int \frac{1}{x \log (c x)} \, dx","Int[1/(x*Log[c*x]),x]","\log (\log (c x))","\log (\log (c x))",1,"Log[Log[c*x]]","A",2,2,10,0.2000,1,"{2302, 29}"
27,1,9,0,0.0236958,"\int \frac{1}{x^2 \log (c x)} \, dx","Int[1/(x^2*Log[c*x]),x]","c \text{Ei}(-\log (c x))","c \text{Ei}(-\log (c x))",1,"c*ExpIntegralEi[-Log[c*x]]","A",2,2,10,0.2000,1,"{2309, 2178}"
28,1,11,0,0.0241797,"\int \frac{1}{x^3 \log (c x)} \, dx","Int[1/(x^3*Log[c*x]),x]","c^2 \text{Ei}(-2 \log (c x))","c^2 \text{Ei}(-2 \log (c x))",1,"c^2*ExpIntegralEi[-2*Log[c*x]]","A",2,2,10,0.2000,1,"{2309, 2178}"
29,1,24,0,0.0375445,"\int \frac{x^3}{\log ^2(c x)} \, dx","Int[x^3/Log[c*x]^2,x]","\frac{4 \text{Ei}(4 \log (c x))}{c^4}-\frac{x^4}{\log (c x)}","\frac{4 \text{Ei}(4 \log (c x))}{c^4}-\frac{x^4}{\log (c x)}",1,"(4*ExpIntegralEi[4*Log[c*x]])/c^4 - x^4/Log[c*x]","A",3,3,10,0.3000,1,"{2306, 2309, 2178}"
30,1,24,0,0.0372768,"\int \frac{x^2}{\log ^2(c x)} \, dx","Int[x^2/Log[c*x]^2,x]","\frac{3 \text{Ei}(3 \log (c x))}{c^3}-\frac{x^3}{\log (c x)}","\frac{3 \text{Ei}(3 \log (c x))}{c^3}-\frac{x^3}{\log (c x)}",1,"(3*ExpIntegralEi[3*Log[c*x]])/c^3 - x^3/Log[c*x]","A",3,3,10,0.3000,1,"{2306, 2309, 2178}"
31,1,24,0,0.0263859,"\int \frac{x}{\log ^2(c x)} \, dx","Int[x/Log[c*x]^2,x]","\frac{2 \text{Ei}(2 \log (c x))}{c^2}-\frac{x^2}{\log (c x)}","\frac{2 \text{Ei}(2 \log (c x))}{c^2}-\frac{x^2}{\log (c x)}",1,"(2*ExpIntegralEi[2*Log[c*x]])/c^2 - x^2/Log[c*x]","A",3,3,8,0.3750,1,"{2306, 2309, 2178}"
32,1,18,0,0.0050655,"\int \frac{1}{\log ^2(c x)} \, dx","Int[Log[c*x]^(-2),x]","\frac{\text{li}(c x)}{c}-\frac{x}{\log (c x)}","\frac{\text{li}(c x)}{c}-\frac{x}{\log (c x)}",1,"-(x/Log[c*x]) + LogIntegral[c*x]/c","A",2,2,6,0.3333,1,"{2297, 2298}"
33,1,8,0,0.0118305,"\int \frac{1}{x \log ^2(c x)} \, dx","Int[1/(x*Log[c*x]^2),x]","-\frac{1}{\log (c x)}","-\frac{1}{\log (c x)}",1,"-Log[c*x]^(-1)","A",2,2,10,0.2000,1,"{2302, 30}"
34,1,22,0,0.034901,"\int \frac{1}{x^2 \log ^2(c x)} \, dx","Int[1/(x^2*Log[c*x]^2),x]","-c \text{Ei}(-\log (c x))-\frac{1}{x \log (c x)}","-c \text{Ei}(-\log (c x))-\frac{1}{x \log (c x)}",1,"-(c*ExpIntegralEi[-Log[c*x]]) - 1/(x*Log[c*x])","A",3,3,10,0.3000,1,"{2306, 2309, 2178}"
35,1,24,0,0.0370607,"\int \frac{1}{x^3 \log ^2(c x)} \, dx","Int[1/(x^3*Log[c*x]^2),x]","-2 c^2 \text{Ei}(-2 \log (c x))-\frac{1}{x^2 \log (c x)}","-2 c^2 \text{Ei}(-2 \log (c x))-\frac{1}{x^2 \log (c x)}",1,"-2*c^2*ExpIntegralEi[-2*Log[c*x]] - 1/(x^2*Log[c*x])","A",3,3,10,0.3000,1,"{2306, 2309, 2178}"
36,1,37,0,0.0520612,"\int \frac{x^3}{\log ^3(c x)} \, dx","Int[x^3/Log[c*x]^3,x]","\frac{8 \text{Ei}(4 \log (c x))}{c^4}-\frac{x^4}{2 \log ^2(c x)}-\frac{2 x^4}{\log (c x)}","\frac{8 \text{Ei}(4 \log (c x))}{c^4}-\frac{x^4}{2 \log ^2(c x)}-\frac{2 x^4}{\log (c x)}",1,"(8*ExpIntegralEi[4*Log[c*x]])/c^4 - x^4/(2*Log[c*x]^2) - (2*x^4)/Log[c*x]","A",4,3,10,0.3000,1,"{2306, 2309, 2178}"
37,1,41,0,0.05251,"\int \frac{x^2}{\log ^3(c x)} \, dx","Int[x^2/Log[c*x]^3,x]","\frac{9 \text{Ei}(3 \log (c x))}{2 c^3}-\frac{x^3}{2 \log ^2(c x)}-\frac{3 x^3}{2 \log (c x)}","\frac{9 \text{Ei}(3 \log (c x))}{2 c^3}-\frac{x^3}{2 \log ^2(c x)}-\frac{3 x^3}{2 \log (c x)}",1,"(9*ExpIntegralEi[3*Log[c*x]])/(2*c^3) - x^3/(2*Log[c*x]^2) - (3*x^3)/(2*Log[c*x])","A",4,3,10,0.3000,1,"{2306, 2309, 2178}"
38,1,37,0,0.0314825,"\int \frac{x}{\log ^3(c x)} \, dx","Int[x/Log[c*x]^3,x]","\frac{2 \text{Ei}(2 \log (c x))}{c^2}-\frac{x^2}{2 \log ^2(c x)}-\frac{x^2}{\log (c x)}","\frac{2 \text{Ei}(2 \log (c x))}{c^2}-\frac{x^2}{2 \log ^2(c x)}-\frac{x^2}{\log (c x)}",1,"(2*ExpIntegralEi[2*Log[c*x]])/c^2 - x^2/(2*Log[c*x]^2) - x^2/Log[c*x]","A",4,3,8,0.3750,1,"{2306, 2309, 2178}"
39,1,34,0,0.0087665,"\int \frac{1}{\log ^3(c x)} \, dx","Int[Log[c*x]^(-3),x]","\frac{\text{li}(c x)}{2 c}-\frac{x}{2 \log ^2(c x)}-\frac{x}{2 \log (c x)}","\frac{\text{li}(c x)}{2 c}-\frac{x}{2 \log ^2(c x)}-\frac{x}{2 \log (c x)}",1,"-x/(2*Log[c*x]^2) - x/(2*Log[c*x]) + LogIntegral[c*x]/(2*c)","A",3,2,6,0.3333,1,"{2297, 2298}"
40,1,10,0,0.0121339,"\int \frac{1}{x \log ^3(c x)} \, dx","Int[1/(x*Log[c*x]^3),x]","-\frac{1}{2 \log ^2(c x)}","-\frac{1}{2 \log ^2(c x)}",1,"-1/(2*Log[c*x]^2)","A",2,2,10,0.2000,1,"{2302, 30}"
41,1,39,0,0.0495498,"\int \frac{1}{x^2 \log ^3(c x)} \, dx","Int[1/(x^2*Log[c*x]^3),x]","\frac{1}{2} c \text{Ei}(-\log (c x))-\frac{1}{2 x \log ^2(c x)}+\frac{1}{2 x \log (c x)}","\frac{1}{2} c \text{Ei}(-\log (c x))-\frac{1}{2 x \log ^2(c x)}+\frac{1}{2 x \log (c x)}",1,"(c*ExpIntegralEi[-Log[c*x]])/2 - 1/(2*x*Log[c*x]^2) + 1/(2*x*Log[c*x])","A",4,3,10,0.3000,1,"{2306, 2309, 2178}"
42,1,36,0,0.049051,"\int \frac{1}{x^3 \log ^3(c x)} \, dx","Int[1/(x^3*Log[c*x]^3),x]","2 c^2 \text{Ei}(-2 \log (c x))-\frac{1}{2 x^2 \log ^2(c x)}+\frac{1}{x^2 \log (c x)}","2 c^2 \text{Ei}(-2 \log (c x))-\frac{1}{2 x^2 \log ^2(c x)}+\frac{1}{x^2 \log (c x)}",1,"2*c^2*ExpIntegralEi[-2*Log[c*x]] - 1/(2*x^2*Log[c*x]^2) + 1/(x^2*Log[c*x])","A",4,3,10,0.3000,1,"{2306, 2309, 2178}"
43,1,27,0,0.0125367,"\int x^3 \left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^3*(a + b*Log[c*x^n]),x]","\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{16} b n x^4","\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{16} b n x^4",1,"-(b*n*x^4)/16 + (x^4*(a + b*Log[c*x^n]))/4","A",1,1,14,0.07143,1,"{2304}"
44,1,27,0,0.0121256,"\int x^2 \left(a+b \log \left(c x^n\right)\right) \, dx","Int[x^2*(a + b*Log[c*x^n]),x]","\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{9} b n x^3","\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{9} b n x^3",1,"-(b*n*x^3)/9 + (x^3*(a + b*Log[c*x^n]))/3","A",1,1,14,0.07143,1,"{2304}"
45,1,27,0,0.0072916,"\int x \left(a+b \log \left(c x^n\right)\right) \, dx","Int[x*(a + b*Log[c*x^n]),x]","\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{4} b n x^2","\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)-\frac{1}{4} b n x^2",1,"-(b*n*x^2)/4 + (x^2*(a + b*Log[c*x^n]))/2","A",1,1,12,0.08333,1,"{2304}"
46,1,18,0,0.005548,"\int \left(a+b \log \left(c x^n\right)\right) \, dx","Int[a + b*Log[c*x^n],x]","a x+b x \log \left(c x^n\right)-b n x","a x+b x \log \left(c x^n\right)-b n x",1,"a*x - b*n*x + b*x*Log[c*x^n]","A",2,1,10,0.1000,1,"{2295}"
47,1,22,0,0.0122896,"\int \frac{a+b \log \left(c x^n\right)}{x} \, dx","Int[(a + b*Log[c*x^n])/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right)^2}{2 b n}","\frac{\left(a+b \log \left(c x^n\right)\right)^2}{2 b n}",1,"(a + b*Log[c*x^n])^2/(2*b*n)","A",1,1,14,0.07143,1,"{2301}"
48,1,23,0,0.0129638,"\int \frac{a+b \log \left(c x^n\right)}{x^2} \, dx","Int[(a + b*Log[c*x^n])/x^2,x]","-\frac{a+b \log \left(c x^n\right)}{x}-\frac{b n}{x}","-\frac{a+b \log \left(c x^n\right)}{x}-\frac{b n}{x}",1,"-((b*n)/x) - (a + b*Log[c*x^n])/x","A",1,1,14,0.07143,1,"{2304}"
49,1,27,0,0.0125244,"\int \frac{a+b \log \left(c x^n\right)}{x^3} \, dx","Int[(a + b*Log[c*x^n])/x^3,x]","-\frac{a+b \log \left(c x^n\right)}{2 x^2}-\frac{b n}{4 x^2}","-\frac{a+b \log \left(c x^n\right)}{2 x^2}-\frac{b n}{4 x^2}",1,"-(b*n)/(4*x^2) - (a + b*Log[c*x^n])/(2*x^2)","A",1,1,14,0.07143,1,"{2304}"
50,1,52,0,0.0362843,"\int x^3 \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[x^3*(a + b*Log[c*x^n])^2,x]","\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)^2-\frac{1}{8} b n x^4 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{32} b^2 n^2 x^4","\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)^2-\frac{1}{8} b n x^4 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{32} b^2 n^2 x^4",1,"(b^2*n^2*x^4)/32 - (b*n*x^4*(a + b*Log[c*x^n]))/8 + (x^4*(a + b*Log[c*x^n])^2)/4","A",2,2,16,0.1250,1,"{2305, 2304}"
51,1,52,0,0.0367015,"\int x^2 \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[x^2*(a + b*Log[c*x^n])^2,x]","\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)^2-\frac{2}{9} b n x^3 \left(a+b \log \left(c x^n\right)\right)+\frac{2}{27} b^2 n^2 x^3","\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)^2-\frac{2}{9} b n x^3 \left(a+b \log \left(c x^n\right)\right)+\frac{2}{27} b^2 n^2 x^3",1,"(2*b^2*n^2*x^3)/27 - (2*b*n*x^3*(a + b*Log[c*x^n]))/9 + (x^3*(a + b*Log[c*x^n])^2)/3","A",2,2,16,0.1250,1,"{2305, 2304}"
52,1,52,0,0.0230684,"\int x \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[x*(a + b*Log[c*x^n])^2,x]","\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)^2-\frac{1}{2} b n x^2 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{4} b^2 n^2 x^2","\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)^2-\frac{1}{2} b n x^2 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{4} b^2 n^2 x^2",1,"(b^2*n^2*x^2)/4 - (b*n*x^2*(a + b*Log[c*x^n]))/2 + (x^2*(a + b*Log[c*x^n])^2)/2","A",2,2,14,0.1429,1,"{2305, 2304}"
53,1,43,0,0.0128483,"\int \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[(a + b*Log[c*x^n])^2,x]","x \left(a+b \log \left(c x^n\right)\right)^2-2 a b n x-2 b^2 n x \log \left(c x^n\right)+2 b^2 n^2 x","x \left(a+b \log \left(c x^n\right)\right)^2-2 a b n x-2 b^2 n x \log \left(c x^n\right)+2 b^2 n^2 x",1,"-2*a*b*n*x + 2*b^2*n^2*x - 2*b^2*n*x*Log[c*x^n] + x*(a + b*Log[c*x^n])^2","A",3,2,12,0.1667,1,"{2296, 2295}"
54,1,22,0,0.0239641,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{x} \, dx","Int[(a + b*Log[c*x^n])^2/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right)^3}{3 b n}","\frac{\left(a+b \log \left(c x^n\right)\right)^3}{3 b n}",1,"(a + b*Log[c*x^n])^3/(3*b*n)","A",2,2,16,0.1250,1,"{2302, 30}"
55,1,46,0,0.0348372,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{x^2} \, dx","Int[(a + b*Log[c*x^n])^2/x^2,x]","-\frac{2 b n \left(a+b \log \left(c x^n\right)\right)}{x}-\frac{\left(a+b \log \left(c x^n\right)\right)^2}{x}-\frac{2 b^2 n^2}{x}","-\frac{2 b n \left(a+b \log \left(c x^n\right)\right)}{x}-\frac{\left(a+b \log \left(c x^n\right)\right)^2}{x}-\frac{2 b^2 n^2}{x}",1,"(-2*b^2*n^2)/x - (2*b*n*(a + b*Log[c*x^n]))/x - (a + b*Log[c*x^n])^2/x","A",2,2,16,0.1250,1,"{2305, 2304}"
56,1,52,0,0.0352318,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{x^3} \, dx","Int[(a + b*Log[c*x^n])^2/x^3,x]","-\frac{b n \left(a+b \log \left(c x^n\right)\right)}{2 x^2}-\frac{\left(a+b \log \left(c x^n\right)\right)^2}{2 x^2}-\frac{b^2 n^2}{4 x^2}","-\frac{b n \left(a+b \log \left(c x^n\right)\right)}{2 x^2}-\frac{\left(a+b \log \left(c x^n\right)\right)^2}{2 x^2}-\frac{b^2 n^2}{4 x^2}",1,"-(b^2*n^2)/(4*x^2) - (b*n*(a + b*Log[c*x^n]))/(2*x^2) - (a + b*Log[c*x^n])^2/(2*x^2)","A",2,2,16,0.1250,1,"{2305, 2304}"
57,1,77,0,0.0626123,"\int x^3 \left(a+b \log \left(c x^n\right)\right)^3 \, dx","Int[x^3*(a + b*Log[c*x^n])^3,x]","\frac{3}{32} b^2 n^2 x^4 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)^3-\frac{3}{16} b n x^4 \left(a+b \log \left(c x^n\right)\right)^2-\frac{3}{128} b^3 n^3 x^4","\frac{3}{32} b^2 n^2 x^4 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{4} x^4 \left(a+b \log \left(c x^n\right)\right)^3-\frac{3}{16} b n x^4 \left(a+b \log \left(c x^n\right)\right)^2-\frac{3}{128} b^3 n^3 x^4",1,"(-3*b^3*n^3*x^4)/128 + (3*b^2*n^2*x^4*(a + b*Log[c*x^n]))/32 - (3*b*n*x^4*(a + b*Log[c*x^n])^2)/16 + (x^4*(a + b*Log[c*x^n])^3)/4","A",3,2,16,0.1250,1,"{2305, 2304}"
58,1,77,0,0.0600692,"\int x^2 \left(a+b \log \left(c x^n\right)\right)^3 \, dx","Int[x^2*(a + b*Log[c*x^n])^3,x]","\frac{2}{9} b^2 n^2 x^3 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)^3-\frac{1}{3} b n x^3 \left(a+b \log \left(c x^n\right)\right)^2-\frac{2}{27} b^3 n^3 x^3","\frac{2}{9} b^2 n^2 x^3 \left(a+b \log \left(c x^n\right)\right)+\frac{1}{3} x^3 \left(a+b \log \left(c x^n\right)\right)^3-\frac{1}{3} b n x^3 \left(a+b \log \left(c x^n\right)\right)^2-\frac{2}{27} b^3 n^3 x^3",1,"(-2*b^3*n^3*x^3)/27 + (2*b^2*n^2*x^3*(a + b*Log[c*x^n]))/9 - (b*n*x^3*(a + b*Log[c*x^n])^2)/3 + (x^3*(a + b*Log[c*x^n])^3)/3","A",3,2,16,0.1250,1,"{2305, 2304}"
59,1,77,0,0.038703,"\int x \left(a+b \log \left(c x^n\right)\right)^3 \, dx","Int[x*(a + b*Log[c*x^n])^3,x]","\frac{3}{4} b^2 n^2 x^2 \left(a+b \log \left(c x^n\right)\right)-\frac{3}{4} b n x^2 \left(a+b \log \left(c x^n\right)\right)^2+\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)^3-\frac{3}{8} b^3 n^3 x^2","\frac{3}{4} b^2 n^2 x^2 \left(a+b \log \left(c x^n\right)\right)-\frac{3}{4} b n x^2 \left(a+b \log \left(c x^n\right)\right)^2+\frac{1}{2} x^2 \left(a+b \log \left(c x^n\right)\right)^3-\frac{3}{8} b^3 n^3 x^2",1,"(-3*b^3*n^3*x^2)/8 + (3*b^2*n^2*x^2*(a + b*Log[c*x^n]))/4 - (3*b*n*x^2*(a + b*Log[c*x^n])^2)/4 + (x^2*(a + b*Log[c*x^n])^3)/2","A",3,2,14,0.1429,1,"{2305, 2304}"
60,1,66,0,0.0238015,"\int \left(a+b \log \left(c x^n\right)\right)^3 \, dx","Int[(a + b*Log[c*x^n])^3,x]","6 a b^2 n^2 x-3 b n x \left(a+b \log \left(c x^n\right)\right)^2+x \left(a+b \log \left(c x^n\right)\right)^3+6 b^3 n^2 x \log \left(c x^n\right)-6 b^3 n^3 x","6 a b^2 n^2 x-3 b n x \left(a+b \log \left(c x^n\right)\right)^2+x \left(a+b \log \left(c x^n\right)\right)^3+6 b^3 n^2 x \log \left(c x^n\right)-6 b^3 n^3 x",1,"6*a*b^2*n^2*x - 6*b^3*n^3*x + 6*b^3*n^2*x*Log[c*x^n] - 3*b*n*x*(a + b*Log[c*x^n])^2 + x*(a + b*Log[c*x^n])^3","A",4,2,12,0.1667,1,"{2296, 2295}"
61,1,22,0,0.0222569,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^3}{x} \, dx","Int[(a + b*Log[c*x^n])^3/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right)^4}{4 b n}","\frac{\left(a+b \log \left(c x^n\right)\right)^4}{4 b n}",1,"(a + b*Log[c*x^n])^4/(4*b*n)","A",2,2,16,0.1250,1,"{2302, 30}"
62,1,69,0,0.0595732,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^3}{x^2} \, dx","Int[(a + b*Log[c*x^n])^3/x^2,x]","-\frac{6 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{x}-\frac{3 b n \left(a+b \log \left(c x^n\right)\right)^2}{x}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{x}-\frac{6 b^3 n^3}{x}","-\frac{6 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{x}-\frac{3 b n \left(a+b \log \left(c x^n\right)\right)^2}{x}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{x}-\frac{6 b^3 n^3}{x}",1,"(-6*b^3*n^3)/x - (6*b^2*n^2*(a + b*Log[c*x^n]))/x - (3*b*n*(a + b*Log[c*x^n])^2)/x - (a + b*Log[c*x^n])^3/x","A",3,2,16,0.1250,1,"{2305, 2304}"
63,1,77,0,0.0593631,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^3}{x^3} \, dx","Int[(a + b*Log[c*x^n])^3/x^3,x]","-\frac{3 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{4 x^2}-\frac{3 b n \left(a+b \log \left(c x^n\right)\right)^2}{4 x^2}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{2 x^2}-\frac{3 b^3 n^3}{8 x^2}","-\frac{3 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{4 x^2}-\frac{3 b n \left(a+b \log \left(c x^n\right)\right)^2}{4 x^2}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{2 x^2}-\frac{3 b^3 n^3}{8 x^2}",1,"(-3*b^3*n^3)/(8*x^2) - (3*b^2*n^2*(a + b*Log[c*x^n]))/(4*x^2) - (3*b*n*(a + b*Log[c*x^n])^2)/(4*x^2) - (a + b*Log[c*x^n])^3/(2*x^2)","A",3,2,16,0.1250,1,"{2305, 2304}"
64,1,77,0,0.0606733,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^3}{x^4} \, dx","Int[(a + b*Log[c*x^n])^3/x^4,x]","-\frac{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{9 x^3}-\frac{b n \left(a+b \log \left(c x^n\right)\right)^2}{3 x^3}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{3 x^3}-\frac{2 b^3 n^3}{27 x^3}","-\frac{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}{9 x^3}-\frac{b n \left(a+b \log \left(c x^n\right)\right)^2}{3 x^3}-\frac{\left(a+b \log \left(c x^n\right)\right)^3}{3 x^3}-\frac{2 b^3 n^3}{27 x^3}",1,"(-2*b^3*n^3)/(27*x^3) - (2*b^2*n^2*(a + b*Log[c*x^n]))/(9*x^3) - (b*n*(a + b*Log[c*x^n])^2)/(3*x^3) - (a + b*Log[c*x^n])^3/(3*x^3)","A",3,2,16,0.1250,1,"{2305, 2304}"
65,1,51,0,0.0559981,"\int \frac{x^3}{a+b \log \left(c x^n\right)} \, dx","Int[x^3/(a + b*Log[c*x^n]),x]","\frac{x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}","\frac{x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}",1,"(x^4*ExpIntegralEi[(4*(a + b*Log[c*x^n]))/(b*n)])/(b*E^((4*a)/(b*n))*n*(c*x^n)^(4/n))","A",2,2,16,0.1250,1,"{2310, 2178}"
66,1,51,0,0.0553589,"\int \frac{x^2}{a+b \log \left(c x^n\right)} \, dx","Int[x^2/(a + b*Log[c*x^n]),x]","\frac{x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}","\frac{x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}",1,"(x^3*ExpIntegralEi[(3*(a + b*Log[c*x^n]))/(b*n)])/(b*E^((3*a)/(b*n))*n*(c*x^n)^(3/n))","A",2,2,16,0.1250,1,"{2310, 2178}"
67,1,51,0,0.0453849,"\int \frac{x}{a+b \log \left(c x^n\right)} \, dx","Int[x/(a + b*Log[c*x^n]),x]","\frac{x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}","\frac{x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n}",1,"(x^2*ExpIntegralEi[(2*(a + b*Log[c*x^n]))/(b*n)])/(b*E^((2*a)/(b*n))*n*(c*x^n)^(2/n))","A",2,2,14,0.1429,1,"{2310, 2178}"
68,1,48,0,0.0358402,"\int \frac{1}{a+b \log \left(c x^n\right)} \, dx","Int[(a + b*Log[c*x^n])^(-1),x]","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b n}","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b n}",1,"(x*ExpIntegralEi[(a + b*Log[c*x^n])/(b*n)])/(b*E^(a/(b*n))*n*(c*x^n)^n^(-1))","A",2,2,12,0.1667,1,"{2300, 2178}"
69,1,18,0,0.0246855,"\int \frac{1}{x \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x*(a + b*Log[c*x^n])),x]","\frac{\log \left(a+b \log \left(c x^n\right)\right)}{b n}","\frac{\log \left(a+b \log \left(c x^n\right)\right)}{b n}",1,"Log[a + b*Log[c*x^n]]/(b*n)","A",2,2,16,0.1250,1,"{2302, 29}"
70,1,48,0,0.0513248,"\int \frac{1}{x^2 \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x^2*(a + b*Log[c*x^n])),x]","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b n x}","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b n x}",1,"(E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-((a + b*Log[c*x^n])/(b*n))])/(b*n*x)","A",2,2,16,0.1250,1,"{2310, 2178}"
71,1,51,0,0.0513079,"\int \frac{1}{x^3 \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x^3*(a + b*Log[c*x^n])),x]","\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n x^2}","\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n x^2}",1,"(E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[(-2*(a + b*Log[c*x^n]))/(b*n)])/(b*n*x^2)","A",2,2,16,0.1250,1,"{2310, 2178}"
72,1,51,0,0.0517936,"\int \frac{1}{x^4 \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(x^4*(a + b*Log[c*x^n])),x]","\frac{e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n x^3}","\frac{e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b n x^3}",1,"(E^((3*a)/(b*n))*(c*x^n)^(3/n)*ExpIntegralEi[(-3*(a + b*Log[c*x^n]))/(b*n)])/(b*n*x^3)","A",2,2,16,0.1250,1,"{2310, 2178}"
73,1,76,0,0.0785481,"\int \frac{x^3}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[x^3/(a + b*Log[c*x^n])^2,x]","\frac{4 x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^4}{b n \left(a+b \log \left(c x^n\right)\right)}","\frac{4 x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^4}{b n \left(a+b \log \left(c x^n\right)\right)}",1,"(4*x^4*ExpIntegralEi[(4*(a + b*Log[c*x^n]))/(b*n)])/(b^2*E^((4*a)/(b*n))*n^2*(c*x^n)^(4/n)) - x^4/(b*n*(a + b*Log[c*x^n]))","A",3,3,16,0.1875,1,"{2306, 2310, 2178}"
74,1,76,0,0.0793871,"\int \frac{x^2}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[x^2/(a + b*Log[c*x^n])^2,x]","\frac{3 x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^3}{b n \left(a+b \log \left(c x^n\right)\right)}","\frac{3 x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^3}{b n \left(a+b \log \left(c x^n\right)\right)}",1,"(3*x^3*ExpIntegralEi[(3*(a + b*Log[c*x^n]))/(b*n)])/(b^2*E^((3*a)/(b*n))*n^2*(c*x^n)^(3/n)) - x^3/(b*n*(a + b*Log[c*x^n]))","A",3,3,16,0.1875,1,"{2306, 2310, 2178}"
75,1,76,0,0.0591005,"\int \frac{x}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[x/(a + b*Log[c*x^n])^2,x]","\frac{2 x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^2}{b n \left(a+b \log \left(c x^n\right)\right)}","\frac{2 x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2}-\frac{x^2}{b n \left(a+b \log \left(c x^n\right)\right)}",1,"(2*x^2*ExpIntegralEi[(2*(a + b*Log[c*x^n]))/(b*n)])/(b^2*E^((2*a)/(b*n))*n^2*(c*x^n)^(2/n)) - x^2/(b*n*(a + b*Log[c*x^n]))","A",3,3,14,0.2143,1,"{2306, 2310, 2178}"
76,1,70,0,0.039918,"\int \frac{1}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[(a + b*Log[c*x^n])^(-2),x]","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b^2 n^2}-\frac{x}{b n \left(a+b \log \left(c x^n\right)\right)}","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b^2 n^2}-\frac{x}{b n \left(a+b \log \left(c x^n\right)\right)}",1,"(x*ExpIntegralEi[(a + b*Log[c*x^n])/(b*n)])/(b^2*E^(a/(b*n))*n^2*(c*x^n)^n^(-1)) - x/(b*n*(a + b*Log[c*x^n]))","A",3,3,12,0.2500,1,"{2297, 2300, 2178}"
77,1,20,0,0.024049,"\int \frac{1}{x \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/(x*(a + b*Log[c*x^n])^2),x]","-\frac{1}{b n \left(a+b \log \left(c x^n\right)\right)}","-\frac{1}{b n \left(a+b \log \left(c x^n\right)\right)}",1,"-(1/(b*n*(a + b*Log[c*x^n])))","A",2,2,16,0.1250,1,"{2302, 30}"
78,1,73,0,0.0745142,"\int \frac{1}{x^2 \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/(x^2*(a + b*Log[c*x^n])^2),x]","-\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b^2 n^2 x}-\frac{1}{b n x \left(a+b \log \left(c x^n\right)\right)}","-\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{b^2 n^2 x}-\frac{1}{b n x \left(a+b \log \left(c x^n\right)\right)}",1,"-((E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-((a + b*Log[c*x^n])/(b*n))])/(b^2*n^2*x)) - 1/(b*n*x*(a + b*Log[c*x^n]))","A",3,3,16,0.1875,1,"{2306, 2310, 2178}"
79,1,76,0,0.0777883,"\int \frac{1}{x^3 \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/(x^3*(a + b*Log[c*x^n])^2),x]","-\frac{2 e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2 x^2}-\frac{1}{b n x^2 \left(a+b \log \left(c x^n\right)\right)}","-\frac{2 e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2 x^2}-\frac{1}{b n x^2 \left(a+b \log \left(c x^n\right)\right)}",1,"(-2*E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[(-2*(a + b*Log[c*x^n]))/(b*n)])/(b^2*n^2*x^2) - 1/(b*n*x^2*(a + b*Log[c*x^n]))","A",3,3,16,0.1875,1,"{2306, 2310, 2178}"
80,1,76,0,0.0751389,"\int \frac{1}{x^4 \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/(x^4*(a + b*Log[c*x^n])^2),x]","-\frac{3 e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2 x^3}-\frac{1}{b n x^3 \left(a+b \log \left(c x^n\right)\right)}","-\frac{3 e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 n^2 x^3}-\frac{1}{b n x^3 \left(a+b \log \left(c x^n\right)\right)}",1,"(-3*E^((3*a)/(b*n))*(c*x^n)^(3/n)*ExpIntegralEi[(-3*(a + b*Log[c*x^n]))/(b*n)])/(b^2*n^2*x^3) - 1/(b*n*x^3*(a + b*Log[c*x^n]))","A",3,3,16,0.1875,1,"{2306, 2310, 2178}"
81,1,101,0,0.1076103,"\int \frac{x^3}{\left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[x^3/(a + b*Log[c*x^n])^3,x]","\frac{8 x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3}-\frac{2 x^4}{b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^4}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}","\frac{8 x^4 e^{-\frac{4 a}{b n}} \left(c x^n\right)^{-4/n} \text{Ei}\left(\frac{4 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3}-\frac{2 x^4}{b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^4}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}",1,"(8*x^4*ExpIntegralEi[(4*(a + b*Log[c*x^n]))/(b*n)])/(b^3*E^((4*a)/(b*n))*n^3*(c*x^n)^(4/n)) - x^4/(2*b*n*(a + b*Log[c*x^n])^2) - (2*x^4)/(b^2*n^2*(a + b*Log[c*x^n]))","A",4,3,16,0.1875,1,"{2306, 2310, 2178}"
82,1,105,0,0.1076421,"\int \frac{x^2}{\left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[x^2/(a + b*Log[c*x^n])^3,x]","\frac{9 x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 n^3}-\frac{3 x^3}{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^3}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}","\frac{9 x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 n^3}-\frac{3 x^3}{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^3}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}",1,"(9*x^3*ExpIntegralEi[(3*(a + b*Log[c*x^n]))/(b*n)])/(2*b^3*E^((3*a)/(b*n))*n^3*(c*x^n)^(3/n)) - x^3/(2*b*n*(a + b*Log[c*x^n])^2) - (3*x^3)/(2*b^2*n^2*(a + b*Log[c*x^n]))","A",4,3,16,0.1875,1,"{2306, 2310, 2178}"
83,1,101,0,0.0798244,"\int \frac{x}{\left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[x/(a + b*Log[c*x^n])^3,x]","\frac{2 x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3}-\frac{x^2}{b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^2}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}","\frac{2 x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3}-\frac{x^2}{b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x^2}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}",1,"(2*x^2*ExpIntegralEi[(2*(a + b*Log[c*x^n]))/(b*n)])/(b^3*E^((2*a)/(b*n))*n^3*(c*x^n)^(2/n)) - x^2/(2*b*n*(a + b*Log[c*x^n])^2) - x^2/(b^2*n^2*(a + b*Log[c*x^n]))","A",4,3,14,0.2143,1,"{2306, 2310, 2178}"
84,1,98,0,0.0524806,"\int \frac{1}{\left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[(a + b*Log[c*x^n])^(-3),x]","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{2 b^3 n^3}-\frac{x}{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}","\frac{x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{b n}\right)}{2 b^3 n^3}-\frac{x}{2 b^2 n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{x}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}",1,"(x*ExpIntegralEi[(a + b*Log[c*x^n])/(b*n)])/(2*b^3*E^(a/(b*n))*n^3*(c*x^n)^n^(-1)) - x/(2*b*n*(a + b*Log[c*x^n])^2) - x/(2*b^2*n^2*(a + b*Log[c*x^n]))","A",4,3,12,0.2500,1,"{2297, 2300, 2178}"
85,1,22,0,0.0235673,"\int \frac{1}{x \left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[1/(x*(a + b*Log[c*x^n])^3),x]","-\frac{1}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}","-\frac{1}{2 b n \left(a+b \log \left(c x^n\right)\right)^2}",1,"-1/(2*b*n*(a + b*Log[c*x^n])^2)","A",2,2,16,0.1250,1,"{2302, 30}"
86,1,102,0,0.1061011,"\int \frac{1}{x^2 \left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[1/(x^2*(a + b*Log[c*x^n])^3),x]","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{2 b^3 n^3 x}+\frac{1}{2 b^2 n^2 x \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x \left(a+b \log \left(c x^n\right)\right)^2}","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)}{2 b^3 n^3 x}+\frac{1}{2 b^2 n^2 x \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x \left(a+b \log \left(c x^n\right)\right)^2}",1,"(E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-((a + b*Log[c*x^n])/(b*n))])/(2*b^3*n^3*x) - 1/(2*b*n*x*(a + b*Log[c*x^n])^2) + 1/(2*b^2*n^2*x*(a + b*Log[c*x^n]))","A",4,3,16,0.1875,1,"{2306, 2310, 2178}"
87,1,100,0,0.1083346,"\int \frac{1}{x^3 \left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[1/(x^3*(a + b*Log[c*x^n])^3),x]","\frac{2 e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3 x^2}+\frac{1}{b^2 n^2 x^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x^2 \left(a+b \log \left(c x^n\right)\right)^2}","\frac{2 e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^3 n^3 x^2}+\frac{1}{b^2 n^2 x^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x^2 \left(a+b \log \left(c x^n\right)\right)^2}",1,"(2*E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[(-2*(a + b*Log[c*x^n]))/(b*n)])/(b^3*n^3*x^2) - 1/(2*b*n*x^2*(a + b*Log[c*x^n])^2) + 1/(b^2*n^2*x^2*(a + b*Log[c*x^n]))","A",4,3,16,0.1875,1,"{2306, 2310, 2178}"
88,1,105,0,0.1068379,"\int \frac{1}{x^4 \left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[1/(x^4*(a + b*Log[c*x^n])^3),x]","\frac{9 e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 n^3 x^3}+\frac{3}{2 b^2 n^2 x^3 \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x^3 \left(a+b \log \left(c x^n\right)\right)^2}","\frac{9 e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 n^3 x^3}+\frac{3}{2 b^2 n^2 x^3 \left(a+b \log \left(c x^n\right)\right)}-\frac{1}{2 b n x^3 \left(a+b \log \left(c x^n\right)\right)^2}",1,"(9*E^((3*a)/(b*n))*(c*x^n)^(3/n)*ExpIntegralEi[(-3*(a + b*Log[c*x^n]))/(b*n)])/(2*b^3*n^3*x^3) - 1/(2*b*n*x^3*(a + b*Log[c*x^n])^2) + 3/(2*b^2*n^2*x^3*(a + b*Log[c*x^n]))","A",4,3,16,0.1875,1,"{2306, 2310, 2178}"
89,1,41,0,0.0158954,"\int (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right) \, dx","Int[(d*x)^(5/2)*(a + b*Log[c*x^n]),x]","\frac{2 (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)}{7 d}-\frac{4 b n (d x)^{7/2}}{49 d}","\frac{2 (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)}{7 d}-\frac{4 b n (d x)^{7/2}}{49 d}",1,"(-4*b*n*(d*x)^(7/2))/(49*d) + (2*(d*x)^(7/2)*(a + b*Log[c*x^n]))/(7*d)","A",1,1,18,0.05556,1,"{2304}"
90,1,41,0,0.0159575,"\int (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right) \, dx","Int[(d*x)^(3/2)*(a + b*Log[c*x^n]),x]","\frac{2 (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)}{5 d}-\frac{4 b n (d x)^{5/2}}{25 d}","\frac{2 (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)}{5 d}-\frac{4 b n (d x)^{5/2}}{25 d}",1,"(-4*b*n*(d*x)^(5/2))/(25*d) + (2*(d*x)^(5/2)*(a + b*Log[c*x^n]))/(5*d)","A",1,1,18,0.05556,1,"{2304}"
91,1,41,0,0.013953,"\int \sqrt{d x} \left(a+b \log \left(c x^n\right)\right) \, dx","Int[Sqrt[d*x]*(a + b*Log[c*x^n]),x]","\frac{2 (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}{3 d}-\frac{4 b n (d x)^{3/2}}{9 d}","\frac{2 (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}{3 d}-\frac{4 b n (d x)^{3/2}}{9 d}",1,"(-4*b*n*(d*x)^(3/2))/(9*d) + (2*(d*x)^(3/2)*(a + b*Log[c*x^n]))/(3*d)","A",1,1,18,0.05556,1,"{2304}"
92,1,37,0,0.0145035,"\int \frac{a+b \log \left(c x^n\right)}{\sqrt{d x}} \, dx","Int[(a + b*Log[c*x^n])/Sqrt[d*x],x]","\frac{2 \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}{d}-\frac{4 b n \sqrt{d x}}{d}","\frac{2 \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}{d}-\frac{4 b n \sqrt{d x}}{d}",1,"(-4*b*n*Sqrt[d*x])/d + (2*Sqrt[d*x]*(a + b*Log[c*x^n]))/d","A",1,1,18,0.05556,1,"{2304}"
93,1,37,0,0.0159402,"\int \frac{a+b \log \left(c x^n\right)}{(d x)^{3/2}} \, dx","Int[(a + b*Log[c*x^n])/(d*x)^(3/2),x]","-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{d \sqrt{d x}}-\frac{4 b n}{d \sqrt{d x}}","-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{d \sqrt{d x}}-\frac{4 b n}{d \sqrt{d x}}",1,"(-4*b*n)/(d*Sqrt[d*x]) - (2*(a + b*Log[c*x^n]))/(d*Sqrt[d*x])","A",1,1,18,0.05556,1,"{2304}"
94,1,41,0,0.0151008,"\int \frac{a+b \log \left(c x^n\right)}{(d x)^{5/2}} \, dx","Int[(a + b*Log[c*x^n])/(d*x)^(5/2),x]","-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{3 d (d x)^{3/2}}-\frac{4 b n}{9 d (d x)^{3/2}}","-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{3 d (d x)^{3/2}}-\frac{4 b n}{9 d (d x)^{3/2}}",1,"(-4*b*n)/(9*d*(d*x)^(3/2)) - (2*(a + b*Log[c*x^n]))/(3*d*(d*x)^(3/2))","A",1,1,18,0.05556,1,"{2304}"
95,1,73,0,0.0450409,"\int (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[(d*x)^(5/2)*(a + b*Log[c*x^n])^2,x]","\frac{2 (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)^2}{7 d}-\frac{8 b n (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)}{49 d}+\frac{16 b^2 n^2 (d x)^{7/2}}{343 d}","\frac{2 (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)^2}{7 d}-\frac{8 b n (d x)^{7/2} \left(a+b \log \left(c x^n\right)\right)}{49 d}+\frac{16 b^2 n^2 (d x)^{7/2}}{343 d}",1,"(16*b^2*n^2*(d*x)^(7/2))/(343*d) - (8*b*n*(d*x)^(7/2)*(a + b*Log[c*x^n]))/(49*d) + (2*(d*x)^(7/2)*(a + b*Log[c*x^n])^2)/(7*d)","A",2,2,20,0.1000,1,"{2305, 2304}"
96,1,73,0,0.0464597,"\int (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[(d*x)^(3/2)*(a + b*Log[c*x^n])^2,x]","\frac{2 (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)^2}{5 d}-\frac{8 b n (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)}{25 d}+\frac{16 b^2 n^2 (d x)^{5/2}}{125 d}","\frac{2 (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)^2}{5 d}-\frac{8 b n (d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)}{25 d}+\frac{16 b^2 n^2 (d x)^{5/2}}{125 d}",1,"(16*b^2*n^2*(d*x)^(5/2))/(125*d) - (8*b*n*(d*x)^(5/2)*(a + b*Log[c*x^n]))/(25*d) + (2*(d*x)^(5/2)*(a + b*Log[c*x^n])^2)/(5*d)","A",2,2,20,0.1000,1,"{2305, 2304}"
97,1,73,0,0.0409941,"\int \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[Sqrt[d*x]*(a + b*Log[c*x^n])^2,x]","-\frac{8 b n (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}{9 d}+\frac{2 (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)^2}{3 d}+\frac{16 b^2 n^2 (d x)^{3/2}}{27 d}","-\frac{8 b n (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}{9 d}+\frac{2 (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)^2}{3 d}+\frac{16 b^2 n^2 (d x)^{3/2}}{27 d}",1,"(16*b^2*n^2*(d*x)^(3/2))/(27*d) - (8*b*n*(d*x)^(3/2)*(a + b*Log[c*x^n]))/(9*d) + (2*(d*x)^(3/2)*(a + b*Log[c*x^n])^2)/(3*d)","A",2,2,20,0.1000,1,"{2305, 2304}"
98,1,67,0,0.0409136,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{\sqrt{d x}} \, dx","Int[(a + b*Log[c*x^n])^2/Sqrt[d*x],x]","-\frac{8 b n \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}{d}+\frac{2 \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)^2}{d}+\frac{16 b^2 n^2 \sqrt{d x}}{d}","-\frac{8 b n \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}{d}+\frac{2 \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)^2}{d}+\frac{16 b^2 n^2 \sqrt{d x}}{d}",1,"(16*b^2*n^2*Sqrt[d*x])/d - (8*b*n*Sqrt[d*x]*(a + b*Log[c*x^n]))/d + (2*Sqrt[d*x]*(a + b*Log[c*x^n])^2)/d","A",2,2,20,0.1000,1,"{2305, 2304}"
99,1,67,0,0.0468623,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{(d x)^{3/2}} \, dx","Int[(a + b*Log[c*x^n])^2/(d*x)^(3/2),x]","-\frac{8 b n \left(a+b \log \left(c x^n\right)\right)}{d \sqrt{d x}}-\frac{2 \left(a+b \log \left(c x^n\right)\right)^2}{d \sqrt{d x}}-\frac{16 b^2 n^2}{d \sqrt{d x}}","-\frac{8 b n \left(a+b \log \left(c x^n\right)\right)}{d \sqrt{d x}}-\frac{2 \left(a+b \log \left(c x^n\right)\right)^2}{d \sqrt{d x}}-\frac{16 b^2 n^2}{d \sqrt{d x}}",1,"(-16*b^2*n^2)/(d*Sqrt[d*x]) - (8*b*n*(a + b*Log[c*x^n]))/(d*Sqrt[d*x]) - (2*(a + b*Log[c*x^n])^2)/(d*Sqrt[d*x])","A",2,2,20,0.1000,1,"{2305, 2304}"
100,1,73,0,0.0464623,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^2}{(d x)^{5/2}} \, dx","Int[(a + b*Log[c*x^n])^2/(d*x)^(5/2),x]","-\frac{8 b n \left(a+b \log \left(c x^n\right)\right)}{9 d (d x)^{3/2}}-\frac{2 \left(a+b \log \left(c x^n\right)\right)^2}{3 d (d x)^{3/2}}-\frac{16 b^2 n^2}{27 d (d x)^{3/2}}","-\frac{8 b n \left(a+b \log \left(c x^n\right)\right)}{9 d (d x)^{3/2}}-\frac{2 \left(a+b \log \left(c x^n\right)\right)^2}{3 d (d x)^{3/2}}-\frac{16 b^2 n^2}{27 d (d x)^{3/2}}",1,"(-16*b^2*n^2)/(27*d*(d*x)^(3/2)) - (8*b*n*(a + b*Log[c*x^n]))/(9*d*(d*x)^(3/2)) - (2*(a + b*Log[c*x^n])^2)/(3*d*(d*x)^(3/2))","A",2,2,20,0.1000,1,"{2305, 2304}"
101,1,64,0,0.0637514,"\int \frac{(d x)^{5/2}}{a+b \log \left(c x^n\right)} \, dx","Int[(d*x)^(5/2)/(a + b*Log[c*x^n]),x]","\frac{(d x)^{7/2} e^{-\frac{7 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{7}{2}\right/n} \text{Ei}\left(\frac{7 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}","\frac{(d x)^{7/2} e^{-\frac{7 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{7}{2}\right/n} \text{Ei}\left(\frac{7 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}",1,"((d*x)^(7/2)*ExpIntegralEi[(7*(a + b*Log[c*x^n]))/(2*b*n)])/(b*d*E^((7*a)/(2*b*n))*n*(c*x^n)^(7/(2*n)))","A",2,2,20,0.1000,1,"{2310, 2178}"
102,1,64,0,0.0643295,"\int \frac{(d x)^{3/2}}{a+b \log \left(c x^n\right)} \, dx","Int[(d*x)^(3/2)/(a + b*Log[c*x^n]),x]","\frac{(d x)^{5/2} e^{-\frac{5 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{5}{2}\right/n} \text{Ei}\left(\frac{5 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}","\frac{(d x)^{5/2} e^{-\frac{5 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{5}{2}\right/n} \text{Ei}\left(\frac{5 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}",1,"((d*x)^(5/2)*ExpIntegralEi[(5*(a + b*Log[c*x^n]))/(2*b*n)])/(b*d*E^((5*a)/(2*b*n))*n*(c*x^n)^(5/(2*n)))","A",2,2,20,0.1000,1,"{2310, 2178}"
103,1,64,0,0.060284,"\int \frac{\sqrt{d x}}{a+b \log \left(c x^n\right)} \, dx","Int[Sqrt[d*x]/(a + b*Log[c*x^n]),x]","\frac{(d x)^{3/2} e^{-\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{3}{2}\right/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}","\frac{(d x)^{3/2} e^{-\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{3}{2}\right/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n}",1,"((d*x)^(3/2)*ExpIntegralEi[(3*(a + b*Log[c*x^n]))/(2*b*n)])/(b*d*E^((3*a)/(2*b*n))*n*(c*x^n)^(3/(2*n)))","A",2,2,20,0.1000,1,"{2310, 2178}"
104,1,64,0,0.0605463,"\int \frac{1}{\sqrt{d x} \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/(Sqrt[d*x]*(a + b*Log[c*x^n])),x]","\frac{\sqrt{d x} e^{-\frac{a}{2 b n}} \left(c x^n\right)^{\left.-\frac{1}{2}\right/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{b d n}","\frac{\sqrt{d x} e^{-\frac{a}{2 b n}} \left(c x^n\right)^{\left.-\frac{1}{2}\right/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{b d n}",1,"(Sqrt[d*x]*ExpIntegralEi[(a + b*Log[c*x^n])/(2*b*n)])/(b*d*E^(a/(2*b*n))*n*(c*x^n)^(1/(2*n)))","A",2,2,20,0.1000,1,"{2310, 2178}"
105,1,64,0,0.0607804,"\int \frac{1}{(d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/((d*x)^(3/2)*(a + b*Log[c*x^n])),x]","\frac{e^{\frac{a}{2 b n}} \left(c x^n\right)^{\left.\frac{1}{2}\right/n} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{b d n \sqrt{d x}}","\frac{e^{\frac{a}{2 b n}} \left(c x^n\right)^{\left.\frac{1}{2}\right/n} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{b d n \sqrt{d x}}",1,"(E^(a/(2*b*n))*(c*x^n)^(1/(2*n))*ExpIntegralEi[-(a + b*Log[c*x^n])/(2*b*n)])/(b*d*n*Sqrt[d*x])","A",2,2,20,0.1000,1,"{2310, 2178}"
106,1,64,0,0.0591011,"\int \frac{1}{(d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)} \, dx","Int[1/((d*x)^(5/2)*(a + b*Log[c*x^n])),x]","\frac{e^{\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.\frac{3}{2}\right/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n (d x)^{3/2}}","\frac{e^{\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.\frac{3}{2}\right/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{b d n (d x)^{3/2}}",1,"(E^((3*a)/(2*b*n))*(c*x^n)^(3/(2*n))*ExpIntegralEi[(-3*(a + b*Log[c*x^n]))/(2*b*n)])/(b*d*n*(d*x)^(3/2))","A",2,2,20,0.1000,1,"{2310, 2178}"
107,1,98,0,0.0913091,"\int \frac{(d x)^{5/2}}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[(d*x)^(5/2)/(a + b*Log[c*x^n])^2,x]","\frac{7 (d x)^{7/2} e^{-\frac{7 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{7}{2}\right/n} \text{Ei}\left(\frac{7 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{7/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}","\frac{7 (d x)^{7/2} e^{-\frac{7 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{7}{2}\right/n} \text{Ei}\left(\frac{7 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{7/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}",1,"(7*(d*x)^(7/2)*ExpIntegralEi[(7*(a + b*Log[c*x^n]))/(2*b*n)])/(2*b^2*d*E^((7*a)/(2*b*n))*n^2*(c*x^n)^(7/(2*n))) - (d*x)^(7/2)/(b*d*n*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
108,1,98,0,0.0957078,"\int \frac{(d x)^{3/2}}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[(d*x)^(3/2)/(a + b*Log[c*x^n])^2,x]","\frac{5 (d x)^{5/2} e^{-\frac{5 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{5}{2}\right/n} \text{Ei}\left(\frac{5 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{5/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}","\frac{5 (d x)^{5/2} e^{-\frac{5 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{5}{2}\right/n} \text{Ei}\left(\frac{5 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{5/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}",1,"(5*(d*x)^(5/2)*ExpIntegralEi[(5*(a + b*Log[c*x^n]))/(2*b*n)])/(2*b^2*d*E^((5*a)/(2*b*n))*n^2*(c*x^n)^(5/(2*n))) - (d*x)^(5/2)/(b*d*n*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
109,1,98,0,0.0870387,"\int \frac{\sqrt{d x}}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[Sqrt[d*x]/(a + b*Log[c*x^n])^2,x]","\frac{3 (d x)^{3/2} e^{-\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{3}{2}\right/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{3/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}","\frac{3 (d x)^{3/2} e^{-\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.-\frac{3}{2}\right/n} \text{Ei}\left(\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{(d x)^{3/2}}{b d n \left(a+b \log \left(c x^n\right)\right)}",1,"(3*(d*x)^(3/2)*ExpIntegralEi[(3*(a + b*Log[c*x^n]))/(2*b*n)])/(2*b^2*d*E^((3*a)/(2*b*n))*n^2*(c*x^n)^(3/(2*n))) - (d*x)^(3/2)/(b*d*n*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
110,1,98,0,0.0879756,"\int \frac{1}{\sqrt{d x} \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/(Sqrt[d*x]*(a + b*Log[c*x^n])^2),x]","\frac{\sqrt{d x} e^{-\frac{a}{2 b n}} \left(c x^n\right)^{\left.-\frac{1}{2}\right/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{\sqrt{d x}}{b d n \left(a+b \log \left(c x^n\right)\right)}","\frac{\sqrt{d x} e^{-\frac{a}{2 b n}} \left(c x^n\right)^{\left.-\frac{1}{2}\right/n} \text{Ei}\left(\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{2 b^2 d n^2}-\frac{\sqrt{d x}}{b d n \left(a+b \log \left(c x^n\right)\right)}",1,"(Sqrt[d*x]*ExpIntegralEi[(a + b*Log[c*x^n])/(2*b*n)])/(2*b^2*d*E^(a/(2*b*n))*n^2*(c*x^n)^(1/(2*n))) - Sqrt[d*x]/(b*d*n*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
111,1,98,0,0.0925152,"\int \frac{1}{(d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/((d*x)^(3/2)*(a + b*Log[c*x^n])^2),x]","-\frac{e^{\frac{a}{2 b n}} \left(c x^n\right)^{\left.\frac{1}{2}\right/n} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{2 b^2 d n^2 \sqrt{d x}}-\frac{1}{b d n \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}","-\frac{e^{\frac{a}{2 b n}} \left(c x^n\right)^{\left.\frac{1}{2}\right/n} \text{Ei}\left(-\frac{a+b \log \left(c x^n\right)}{2 b n}\right)}{2 b^2 d n^2 \sqrt{d x}}-\frac{1}{b d n \sqrt{d x} \left(a+b \log \left(c x^n\right)\right)}",1,"-(E^(a/(2*b*n))*(c*x^n)^(1/(2*n))*ExpIntegralEi[-(a + b*Log[c*x^n])/(2*b*n)])/(2*b^2*d*n^2*Sqrt[d*x]) - 1/(b*d*n*Sqrt[d*x]*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
112,1,98,0,0.0924105,"\int \frac{1}{(d x)^{5/2} \left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[1/((d*x)^(5/2)*(a + b*Log[c*x^n])^2),x]","-\frac{3 e^{\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.\frac{3}{2}\right/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2 (d x)^{3/2}}-\frac{1}{b d n (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}","-\frac{3 e^{\frac{3 a}{2 b n}} \left(c x^n\right)^{\left.\frac{3}{2}\right/n} \text{Ei}\left(-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{2 b n}\right)}{2 b^2 d n^2 (d x)^{3/2}}-\frac{1}{b d n (d x)^{3/2} \left(a+b \log \left(c x^n\right)\right)}",1,"(-3*E^((3*a)/(2*b*n))*(c*x^n)^(3/(2*n))*ExpIntegralEi[(-3*(a + b*Log[c*x^n]))/(2*b*n)])/(2*b^2*d*n^2*(d*x)^(3/2)) - 1/(b*d*n*(d*x)^(3/2)*(a + b*Log[c*x^n]))","A",3,3,20,0.1500,1,"{2306, 2310, 2178}"
113,1,85,0,0.0722577,"\int \sqrt{a+b \log \left(c x^n\right)} \, dx","Int[Sqrt[a + b*Log[c*x^n]],x]","x \sqrt{a+b \log \left(c x^n\right)}-\frac{1}{2} \sqrt{\pi } \sqrt{b} \sqrt{n} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{a+b \log \left(c x^n\right)}}{\sqrt{b} \sqrt{n}}\right)","x \sqrt{a+b \log \left(c x^n\right)}-\frac{1}{2} \sqrt{\pi } \sqrt{b} \sqrt{n} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{a+b \log \left(c x^n\right)}}{\sqrt{b} \sqrt{n}}\right)",1,"-(Sqrt[b]*Sqrt[n]*Sqrt[Pi]*x*Erfi[Sqrt[a + b*Log[c*x^n]]/(Sqrt[b]*Sqrt[n])])/(2*E^(a/(b*n))*(c*x^n)^n^(-1)) + x*Sqrt[a + b*Log[c*x^n]]","A",4,4,14,0.2857,1,"{2296, 2300, 2180, 2204}"
114,1,64,0,0.0537024,"\int x^3 \sqrt{\log \left(a x^n\right)} \, dx","Int[x^3*Sqrt[Log[a*x^n]],x]","\frac{1}{4} x^4 \sqrt{\log \left(a x^n\right)}-\frac{1}{16} \sqrt{\pi } \sqrt{n} x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)","\frac{1}{4} x^4 \sqrt{\log \left(a x^n\right)}-\frac{1}{16} \sqrt{\pi } \sqrt{n} x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)",1,"-(Sqrt[n]*Sqrt[Pi]*x^4*Erfi[(2*Sqrt[Log[a*x^n]])/Sqrt[n]])/(16*(a*x^n)^(4/n)) + (x^4*Sqrt[Log[a*x^n]])/4","A",4,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
115,1,72,0,0.0649955,"\int x^2 \sqrt{\log \left(a x^n\right)} \, dx","Int[x^2*Sqrt[Log[a*x^n]],x]","\frac{1}{3} x^3 \sqrt{\log \left(a x^n\right)}-\frac{1}{6} \sqrt{\frac{\pi }{3}} \sqrt{n} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)","\frac{1}{3} x^3 \sqrt{\log \left(a x^n\right)}-\frac{1}{6} \sqrt{\frac{\pi }{3}} \sqrt{n} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)",1,"-(Sqrt[n]*Sqrt[Pi/3]*x^3*Erfi[(Sqrt[3]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(6*(a*x^n)^(3/n)) + (x^3*Sqrt[Log[a*x^n]])/3","A",4,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
116,1,72,0,0.0539074,"\int x \sqrt{\log \left(a x^n\right)} \, dx","Int[x*Sqrt[Log[a*x^n]],x]","\frac{1}{2} x^2 \sqrt{\log \left(a x^n\right)}-\frac{1}{4} \sqrt{\frac{\pi }{2}} \sqrt{n} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)","\frac{1}{2} x^2 \sqrt{\log \left(a x^n\right)}-\frac{1}{4} \sqrt{\frac{\pi }{2}} \sqrt{n} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)",1,"-(Sqrt[n]*Sqrt[Pi/2]*x^2*Erfi[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(4*(a*x^n)^(2/n)) + (x^2*Sqrt[Log[a*x^n]])/2","A",4,4,12,0.3333,1,"{2305, 2310, 2180, 2204}"
117,1,56,0,0.0284009,"\int \sqrt{\log \left(a x^n\right)} \, dx","Int[Sqrt[Log[a*x^n]],x]","x \sqrt{\log \left(a x^n\right)}-\frac{1}{2} \sqrt{\pi } \sqrt{n} x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)","x \sqrt{\log \left(a x^n\right)}-\frac{1}{2} \sqrt{\pi } \sqrt{n} x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)",1,"-(Sqrt[n]*Sqrt[Pi]*x*Erfi[Sqrt[Log[a*x^n]]/Sqrt[n]])/(2*(a*x^n)^n^(-1)) + x*Sqrt[Log[a*x^n]]","A",4,4,10,0.4000,1,"{2296, 2300, 2180, 2204}"
118,1,17,0,0.0135638,"\int \frac{\sqrt{\log \left(a x^n\right)}}{x} \, dx","Int[Sqrt[Log[a*x^n]]/x,x]","\frac{2 \log ^{\frac{3}{2}}\left(a x^n\right)}{3 n}","\frac{2 \log ^{\frac{3}{2}}\left(a x^n\right)}{3 n}",1,"(2*Log[a*x^n]^(3/2))/(3*n)","A",2,2,14,0.1429,1,"{2302, 30}"
119,1,59,0,0.0502454,"\int \frac{\sqrt{\log \left(a x^n\right)}}{x^2} \, dx","Int[Sqrt[Log[a*x^n]]/x^2,x]","\frac{\sqrt{\pi } \sqrt{n} \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 x}-\frac{\sqrt{\log \left(a x^n\right)}}{x}","\frac{\sqrt{\pi } \sqrt{n} \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 x}-\frac{\sqrt{\log \left(a x^n\right)}}{x}",1,"(Sqrt[n]*Sqrt[Pi]*(a*x^n)^n^(-1)*Erf[Sqrt[Log[a*x^n]]/Sqrt[n]])/(2*x) - Sqrt[Log[a*x^n]]/x","A",4,4,14,0.2857,1,"{2305, 2310, 2180, 2205}"
120,1,72,0,0.0559361,"\int \frac{\sqrt{\log \left(a x^n\right)}}{x^3} \, dx","Int[Sqrt[Log[a*x^n]]/x^3,x]","\frac{\sqrt{\frac{\pi }{2}} \sqrt{n} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 x^2}-\frac{\sqrt{\log \left(a x^n\right)}}{2 x^2}","\frac{\sqrt{\frac{\pi }{2}} \sqrt{n} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 x^2}-\frac{\sqrt{\log \left(a x^n\right)}}{2 x^2}",1,"(Sqrt[n]*Sqrt[Pi/2]*(a*x^n)^(2/n)*Erf[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(4*x^2) - Sqrt[Log[a*x^n]]/(2*x^2)","A",4,4,14,0.2857,1,"{2305, 2310, 2180, 2205}"
121,1,82,0,0.0675935,"\int x^3 \log ^{\frac{3}{2}}\left(a x^n\right) \, dx","Int[x^3*Log[a*x^n]^(3/2),x]","\frac{3}{128} \sqrt{\pi } n^{3/2} x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{4} x^4 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{32} n x^4 \sqrt{\log \left(a x^n\right)}","\frac{3}{128} \sqrt{\pi } n^{3/2} x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{4} x^4 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{32} n x^4 \sqrt{\log \left(a x^n\right)}",1,"(3*n^(3/2)*Sqrt[Pi]*x^4*Erfi[(2*Sqrt[Log[a*x^n]])/Sqrt[n]])/(128*(a*x^n)^(4/n)) - (3*n*x^4*Sqrt[Log[a*x^n]])/32 + (x^4*Log[a*x^n]^(3/2))/4","A",5,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
122,1,90,0,0.0738034,"\int x^2 \log ^{\frac{3}{2}}\left(a x^n\right) \, dx","Int[x^2*Log[a*x^n]^(3/2),x]","\frac{1}{12} \sqrt{\frac{\pi }{3}} n^{3/2} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{3} x^3 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{1}{6} n x^3 \sqrt{\log \left(a x^n\right)}","\frac{1}{12} \sqrt{\frac{\pi }{3}} n^{3/2} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{3} x^3 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{1}{6} n x^3 \sqrt{\log \left(a x^n\right)}",1,"(n^(3/2)*Sqrt[Pi/3]*x^3*Erfi[(Sqrt[3]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(12*(a*x^n)^(3/n)) - (n*x^3*Sqrt[Log[a*x^n]])/6 + (x^3*Log[a*x^n]^(3/2))/3","A",5,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
123,1,90,0,0.0565114,"\int x \log ^{\frac{3}{2}}\left(a x^n\right) \, dx","Int[x*Log[a*x^n]^(3/2),x]","\frac{3}{16} \sqrt{\frac{\pi }{2}} n^{3/2} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{2} x^2 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{8} n x^2 \sqrt{\log \left(a x^n\right)}","\frac{3}{16} \sqrt{\frac{\pi }{2}} n^{3/2} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+\frac{1}{2} x^2 \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{8} n x^2 \sqrt{\log \left(a x^n\right)}",1,"(3*n^(3/2)*Sqrt[Pi/2]*x^2*Erfi[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(16*(a*x^n)^(2/n)) - (3*n*x^2*Sqrt[Log[a*x^n]])/8 + (x^2*Log[a*x^n]^(3/2))/2","A",5,4,12,0.3333,1,"{2305, 2310, 2180, 2204}"
124,1,72,0,0.0347186,"\int \log ^{\frac{3}{2}}\left(a x^n\right) \, dx","Int[Log[a*x^n]^(3/2),x]","\frac{3}{4} \sqrt{\pi } n^{3/2} x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+x \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{2} n x \sqrt{\log \left(a x^n\right)}","\frac{3}{4} \sqrt{\pi } n^{3/2} x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)+x \log ^{\frac{3}{2}}\left(a x^n\right)-\frac{3}{2} n x \sqrt{\log \left(a x^n\right)}",1,"(3*n^(3/2)*Sqrt[Pi]*x*Erfi[Sqrt[Log[a*x^n]]/Sqrt[n]])/(4*(a*x^n)^n^(-1)) - (3*n*x*Sqrt[Log[a*x^n]])/2 + x*Log[a*x^n]^(3/2)","A",5,4,10,0.4000,1,"{2296, 2300, 2180, 2204}"
125,1,17,0,0.0136927,"\int \frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{x} \, dx","Int[Log[a*x^n]^(3/2)/x,x]","\frac{2 \log ^{\frac{5}{2}}\left(a x^n\right)}{5 n}","\frac{2 \log ^{\frac{5}{2}}\left(a x^n\right)}{5 n}",1,"(2*Log[a*x^n]^(5/2))/(5*n)","A",2,2,14,0.1429,1,"{2302, 30}"
126,1,77,0,0.0665744,"\int \frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{x^2} \, dx","Int[Log[a*x^n]^(3/2)/x^2,x]","\frac{3 \sqrt{\pi } n^{3/2} \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 x}-\frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{x}-\frac{3 n \sqrt{\log \left(a x^n\right)}}{2 x}","\frac{3 \sqrt{\pi } n^{3/2} \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 x}-\frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{x}-\frac{3 n \sqrt{\log \left(a x^n\right)}}{2 x}",1,"(3*n^(3/2)*Sqrt[Pi]*(a*x^n)^n^(-1)*Erf[Sqrt[Log[a*x^n]]/Sqrt[n]])/(4*x) - (3*n*Sqrt[Log[a*x^n]])/(2*x) - Log[a*x^n]^(3/2)/x","A",5,4,14,0.2857,1,"{2305, 2310, 2180, 2205}"
127,1,90,0,0.0725493,"\int \frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{x^3} \, dx","Int[Log[a*x^n]^(3/2)/x^3,x]","\frac{3 \sqrt{\frac{\pi }{2}} n^{3/2} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{16 x^2}-\frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{2 x^2}-\frac{3 n \sqrt{\log \left(a x^n\right)}}{8 x^2}","\frac{3 \sqrt{\frac{\pi }{2}} n^{3/2} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{16 x^2}-\frac{\log ^{\frac{3}{2}}\left(a x^n\right)}{2 x^2}-\frac{3 n \sqrt{\log \left(a x^n\right)}}{8 x^2}",1,"(3*n^(3/2)*Sqrt[Pi/2]*(a*x^n)^(2/n)*Erf[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(16*x^2) - (3*n*Sqrt[Log[a*x^n]])/(8*x^2) - Log[a*x^n]^(3/2)/(2*x^2)","A",5,4,14,0.2857,1,"{2305, 2310, 2180, 2205}"
128,1,46,0,0.0352387,"\int \frac{x^3}{\sqrt{\log \left(a x^n\right)}} \, dx","Int[x^3/Sqrt[Log[a*x^n]],x]","\frac{\sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 \sqrt{n}}","\frac{\sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 \sqrt{n}}",1,"(Sqrt[Pi]*x^4*Erfi[(2*Sqrt[Log[a*x^n]])/Sqrt[n]])/(2*Sqrt[n]*(a*x^n)^(4/n))","A",3,3,14,0.2143,1,"{2310, 2180, 2204}"
129,1,51,0,0.0360221,"\int \frac{x^2}{\sqrt{\log \left(a x^n\right)}} \, dx","Int[x^2/Sqrt[Log[a*x^n]],x]","\frac{\sqrt{\frac{\pi }{3}} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}","\frac{\sqrt{\frac{\pi }{3}} x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}",1,"(Sqrt[Pi/3]*x^3*Erfi[(Sqrt[3]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(Sqrt[n]*(a*x^n)^(3/n))","A",3,3,14,0.2143,1,"{2310, 2180, 2204}"
130,1,51,0,0.0326668,"\int \frac{x}{\sqrt{\log \left(a x^n\right)}} \, dx","Int[x/Sqrt[Log[a*x^n]],x]","\frac{\sqrt{\frac{\pi }{2}} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}","\frac{\sqrt{\frac{\pi }{2}} x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}",1,"(Sqrt[Pi/2]*x^2*Erfi[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(Sqrt[n]*(a*x^n)^(2/n))","A",3,3,12,0.2500,1,"{2310, 2180, 2204}"
131,1,40,0,0.0222031,"\int \frac{1}{\sqrt{\log \left(a x^n\right)}} \, dx","Int[1/Sqrt[Log[a*x^n]],x]","\frac{\sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}","\frac{\sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n}}",1,"(Sqrt[Pi]*x*Erfi[Sqrt[Log[a*x^n]]/Sqrt[n]])/(Sqrt[n]*(a*x^n)^n^(-1))","A",3,3,10,0.3000,1,"{2300, 2180, 2204}"
132,1,15,0,0.013232,"\int \frac{1}{x \sqrt{\log \left(a x^n\right)}} \, dx","Int[1/(x*Sqrt[Log[a*x^n]]),x]","\frac{2 \sqrt{\log \left(a x^n\right)}}{n}","\frac{2 \sqrt{\log \left(a x^n\right)}}{n}",1,"(2*Sqrt[Log[a*x^n]])/n","A",2,2,14,0.1429,1,"{2302, 30}"
133,1,40,0,0.0327074,"\int \frac{1}{x^2 \sqrt{\log \left(a x^n\right)}} \, dx","Int[1/(x^2*Sqrt[Log[a*x^n]]),x]","\frac{\sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n} x}","\frac{\sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n} x}",1,"(Sqrt[Pi]*(a*x^n)^n^(-1)*Erf[Sqrt[Log[a*x^n]]/Sqrt[n]])/(Sqrt[n]*x)","A",3,3,14,0.2143,1,"{2310, 2180, 2205}"
134,1,51,0,0.038955,"\int \frac{1}{x^3 \sqrt{\log \left(a x^n\right)}} \, dx","Int[1/(x^3*Sqrt[Log[a*x^n]]),x]","\frac{\sqrt{\frac{\pi }{2}} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n} x^2}","\frac{\sqrt{\frac{\pi }{2}} \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{n} x^2}",1,"(Sqrt[Pi/2]*(a*x^n)^(2/n)*Erf[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(Sqrt[n]*x^2)","A",3,3,14,0.2143,1,"{2310, 2180, 2205}"
135,1,63,0,0.052964,"\int \frac{x^3}{\log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[x^3/Log[a*x^n]^(3/2),x]","\frac{4 \sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^4}{n \sqrt{\log \left(a x^n\right)}}","\frac{4 \sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^4}{n \sqrt{\log \left(a x^n\right)}}",1,"(4*Sqrt[Pi]*x^4*Erfi[(2*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(3/2)*(a*x^n)^(4/n)) - (2*x^4)/(n*Sqrt[Log[a*x^n]])","A",4,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
136,1,69,0,0.0577886,"\int \frac{x^2}{\log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[x^2/Log[a*x^n]^(3/2),x]","\frac{2 \sqrt{3 \pi } x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^3}{n \sqrt{\log \left(a x^n\right)}}","\frac{2 \sqrt{3 \pi } x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^3}{n \sqrt{\log \left(a x^n\right)}}",1,"(2*Sqrt[3*Pi]*x^3*Erfi[(Sqrt[3]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(3/2)*(a*x^n)^(3/n)) - (2*x^3)/(n*Sqrt[Log[a*x^n]])","A",4,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
137,1,69,0,0.0488579,"\int \frac{x}{\log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[x/Log[a*x^n]^(3/2),x]","\frac{2 \sqrt{2 \pi } x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^2}{n \sqrt{\log \left(a x^n\right)}}","\frac{2 \sqrt{2 \pi } x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^2}{n \sqrt{\log \left(a x^n\right)}}",1,"(2*Sqrt[2*Pi]*x^2*Erfi[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(3/2)*(a*x^n)^(2/n)) - (2*x^2)/(n*Sqrt[Log[a*x^n]])","A",4,4,12,0.3333,1,"{2306, 2310, 2180, 2204}"
138,1,58,0,0.0285107,"\int \frac{1}{\log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[Log[a*x^n]^(-3/2),x]","\frac{2 \sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x}{n \sqrt{\log \left(a x^n\right)}}","\frac{2 \sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x}{n \sqrt{\log \left(a x^n\right)}}",1,"(2*Sqrt[Pi]*x*Erfi[Sqrt[Log[a*x^n]]/Sqrt[n]])/(n^(3/2)*(a*x^n)^n^(-1)) - (2*x)/(n*Sqrt[Log[a*x^n]])","A",4,4,10,0.4000,1,"{2297, 2300, 2180, 2204}"
139,1,15,0,0.0140202,"\int \frac{1}{x \log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[1/(x*Log[a*x^n]^(3/2)),x]","-\frac{2}{n \sqrt{\log \left(a x^n\right)}}","-\frac{2}{n \sqrt{\log \left(a x^n\right)}}",1,"-2/(n*Sqrt[Log[a*x^n]])","A",2,2,14,0.1429,1,"{2302, 30}"
140,1,60,0,0.0501952,"\int \frac{1}{x^2 \log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[1/(x^2*Log[a*x^n]^(3/2)),x]","-\frac{2 \sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2} x}-\frac{2}{n x \sqrt{\log \left(a x^n\right)}}","-\frac{2 \sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2} x}-\frac{2}{n x \sqrt{\log \left(a x^n\right)}}",1,"(-2*Sqrt[Pi]*(a*x^n)^n^(-1)*Erf[Sqrt[Log[a*x^n]]/Sqrt[n]])/(n^(3/2)*x) - 2/(n*x*Sqrt[Log[a*x^n]])","A",4,4,14,0.2857,1,"{2306, 2310, 2180, 2205}"
141,1,69,0,0.0571192,"\int \frac{1}{x^3 \log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[1/(x^3*Log[a*x^n]^(3/2)),x]","-\frac{2 \sqrt{2 \pi } \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2} x^2}-\frac{2}{n x^2 \sqrt{\log \left(a x^n\right)}}","-\frac{2 \sqrt{2 \pi } \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2} x^2}-\frac{2}{n x^2 \sqrt{\log \left(a x^n\right)}}",1,"(-2*Sqrt[2*Pi]*(a*x^n)^(2/n)*Erf[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(3/2)*x^2) - 2/(n*x^2*Sqrt[Log[a*x^n]])","A",4,4,14,0.2857,1,"{2306, 2310, 2180, 2205}"
142,1,87,0,0.072671,"\int \frac{x^3}{\log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[x^3/Log[a*x^n]^(5/2),x]","\frac{32 \sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{16 x^4}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^4}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{32 \sqrt{\pi } x^4 \left(a x^n\right)^{-4/n} \text{Erfi}\left(\frac{2 \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{16 x^4}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^4}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(32*Sqrt[Pi]*x^4*Erfi[(2*Sqrt[Log[a*x^n]])/Sqrt[n]])/(3*n^(5/2)*(a*x^n)^(4/n)) - (2*x^4)/(3*n*Log[a*x^n]^(3/2)) - (16*x^4)/(3*n^2*Sqrt[Log[a*x^n]])","A",5,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
143,1,89,0,0.0730742,"\int \frac{x^2}{\log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[x^2/Log[a*x^n]^(5/2),x]","\frac{4 \sqrt{3 \pi } x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{5/2}}-\frac{4 x^3}{n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^3}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{4 \sqrt{3 \pi } x^3 \left(a x^n\right)^{-3/n} \text{Erfi}\left(\frac{\sqrt{3} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{5/2}}-\frac{4 x^3}{n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^3}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(4*Sqrt[3*Pi]*x^3*Erfi[(Sqrt[3]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(5/2)*(a*x^n)^(3/n)) - (2*x^3)/(3*n*Log[a*x^n]^(3/2)) - (4*x^3)/(n^2*Sqrt[Log[a*x^n]])","A",5,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
144,1,93,0,0.0579577,"\int \frac{x}{\log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[x/Log[a*x^n]^(5/2),x]","\frac{8 \sqrt{2 \pi } x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{8 x^2}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^2}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{8 \sqrt{2 \pi } x^2 \left(a x^n\right)^{-2/n} \text{Erfi}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{8 x^2}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^2}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(8*Sqrt[2*Pi]*x^2*Erfi[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(3*n^(5/2)*(a*x^n)^(2/n)) - (2*x^2)/(3*n*Log[a*x^n]^(3/2)) - (8*x^2)/(3*n^2*Sqrt[Log[a*x^n]])","A",5,4,12,0.3333,1,"{2306, 2310, 2180, 2204}"
145,1,80,0,0.0372524,"\int \frac{1}{\log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[Log[a*x^n]^(-5/2),x]","\frac{4 \sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{4 x}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{4 \sqrt{\pi } x \left(a x^n\right)^{-1/n} \text{Erfi}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{4 x}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(4*Sqrt[Pi]*x*Erfi[Sqrt[Log[a*x^n]]/Sqrt[n]])/(3*n^(5/2)*(a*x^n)^n^(-1)) - (2*x)/(3*n*Log[a*x^n]^(3/2)) - (4*x)/(3*n^2*Sqrt[Log[a*x^n]])","A",5,4,10,0.4000,1,"{2297, 2300, 2180, 2204}"
146,1,17,0,0.0139537,"\int \frac{1}{x \log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[1/(x*Log[a*x^n]^(5/2)),x]","-\frac{2}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","-\frac{2}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"-2/(3*n*Log[a*x^n]^(3/2))","A",2,2,14,0.1429,1,"{2302, 30}"
147,1,84,0,0.0688181,"\int \frac{1}{x^2 \log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[1/(x^2*Log[a*x^n]^(5/2)),x]","\frac{4 \sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2} x}+\frac{4}{3 n^2 x \sqrt{\log \left(a x^n\right)}}-\frac{2}{3 n x \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{4 \sqrt{\pi } \left(a x^n\right)^{\frac{1}{n}} \text{Erf}\left(\frac{\sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2} x}+\frac{4}{3 n^2 x \sqrt{\log \left(a x^n\right)}}-\frac{2}{3 n x \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(4*Sqrt[Pi]*(a*x^n)^n^(-1)*Erf[Sqrt[Log[a*x^n]]/Sqrt[n]])/(3*n^(5/2)*x) - 2/(3*n*x*Log[a*x^n]^(3/2)) + 4/(3*n^2*x*Sqrt[Log[a*x^n]])","A",5,4,14,0.2857,1,"{2306, 2310, 2180, 2205}"
148,1,93,0,0.0755038,"\int \frac{1}{x^3 \log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[1/(x^3*Log[a*x^n]^(5/2)),x]","\frac{8 \sqrt{2 \pi } \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2} x^2}+\frac{8}{3 n^2 x^2 \sqrt{\log \left(a x^n\right)}}-\frac{2}{3 n x^2 \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{8 \sqrt{2 \pi } \left(a x^n\right)^{2/n} \text{Erf}\left(\frac{\sqrt{2} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2} x^2}+\frac{8}{3 n^2 x^2 \sqrt{\log \left(a x^n\right)}}-\frac{2}{3 n x^2 \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(8*Sqrt[2*Pi]*(a*x^n)^(2/n)*Erf[(Sqrt[2]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(3*n^(5/2)*x^2) - 2/(3*n*x^2*Log[a*x^n]^(3/2)) + 8/(3*n^2*x^2*Sqrt[Log[a*x^n]])","A",5,4,14,0.2857,1,"{2306, 2310, 2180, 2205}"
149,1,21,0,0.0204304,"\int (d x)^m \left(a+\frac{a (1+m) \log \left(c x^n\right)}{n}\right) \, dx","Int[(d*x)^m*(a + (a*(1 + m)*Log[c*x^n])/n),x]","\frac{a (d x)^{m+1} \log \left(c x^n\right)}{d n}","\frac{a (d x)^{m+1} \log \left(c x^n\right)}{d n}",1,"(a*(d*x)^(1 + m)*Log[c*x^n])/(d*n)","A",1,1,22,0.04545,1,"{2303}"
150,1,116,0,0.0905633,"\int (d x)^m \left(a+b \log \left(c x^n\right)\right)^3 \, dx","Int[(d*x)^m*(a + b*Log[c*x^n])^3,x]","\frac{6 b^2 n^2 (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)^3}+\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^3}{d (m+1)}-\frac{3 b n (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^2}{d (m+1)^2}-\frac{6 b^3 n^3 (d x)^{m+1}}{d (m+1)^4}","\frac{6 b^2 n^2 (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)^3}+\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^3}{d (m+1)}-\frac{3 b n (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^2}{d (m+1)^2}-\frac{6 b^3 n^3 (d x)^{m+1}}{d (m+1)^4}",1,"(-6*b^3*n^3*(d*x)^(1 + m))/(d*(1 + m)^4) + (6*b^2*n^2*(d*x)^(1 + m)*(a + b*Log[c*x^n]))/(d*(1 + m)^3) - (3*b*n*(d*x)^(1 + m)*(a + b*Log[c*x^n])^2)/(d*(1 + m)^2) + ((d*x)^(1 + m)*(a + b*Log[c*x^n])^3)/(d*(1 + m))","A",3,2,18,0.1111,1,"{2305, 2304}"
151,1,81,0,0.0461994,"\int (d x)^m \left(a+b \log \left(c x^n\right)\right)^2 \, dx","Int[(d*x)^m*(a + b*Log[c*x^n])^2,x]","\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^2}{d (m+1)}-\frac{2 b n (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)^2}+\frac{2 b^2 n^2 (d x)^{m+1}}{d (m+1)^3}","\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)^2}{d (m+1)}-\frac{2 b n (d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)^2}+\frac{2 b^2 n^2 (d x)^{m+1}}{d (m+1)^3}",1,"(2*b^2*n^2*(d*x)^(1 + m))/(d*(1 + m)^3) - (2*b*n*(d*x)^(1 + m)*(a + b*Log[c*x^n]))/(d*(1 + m)^2) + ((d*x)^(1 + m)*(a + b*Log[c*x^n])^2)/(d*(1 + m))","A",2,2,18,0.1111,1,"{2305, 2304}"
152,1,46,0,0.0151003,"\int (d x)^m \left(a+b \log \left(c x^n\right)\right) \, dx","Int[(d*x)^m*(a + b*Log[c*x^n]),x]","\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)}-\frac{b n (d x)^{m+1}}{d (m+1)^2}","\frac{(d x)^{m+1} \left(a+b \log \left(c x^n\right)\right)}{d (m+1)}-\frac{b n (d x)^{m+1}}{d (m+1)^2}",1,"-((b*n*(d*x)^(1 + m))/(d*(1 + m)^2)) + ((d*x)^(1 + m)*(a + b*Log[c*x^n]))/(d*(1 + m))","A",1,1,16,0.06250,1,"{2304}"
153,1,66,0,0.0736044,"\int \frac{(d x)^m}{a+b \log \left(c x^n\right)} \, dx","Int[(d*x)^m/(a + b*Log[c*x^n]),x]","\frac{(d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b d n}","\frac{(d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b d n}",1,"((d*x)^(1 + m)*ExpIntegralEi[((1 + m)*(a + b*Log[c*x^n]))/(b*n)])/(b*d*E^((a*(1 + m))/(b*n))*n*(c*x^n)^((1 + m)/n))","A",2,2,18,0.1111,1,"{2310, 2178}"
154,1,100,0,0.0931316,"\int \frac{(d x)^m}{\left(a+b \log \left(c x^n\right)\right)^2} \, dx","Int[(d*x)^m/(a + b*Log[c*x^n])^2,x]","\frac{(m+1) (d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 d n^2}-\frac{(d x)^{m+1}}{b d n \left(a+b \log \left(c x^n\right)\right)}","\frac{(m+1) (d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{b^2 d n^2}-\frac{(d x)^{m+1}}{b d n \left(a+b \log \left(c x^n\right)\right)}",1,"((1 + m)*(d*x)^(1 + m)*ExpIntegralEi[((1 + m)*(a + b*Log[c*x^n]))/(b*n)])/(b^2*d*E^((a*(1 + m))/(b*n))*n^2*(c*x^n)^((1 + m)/n)) - (d*x)^(1 + m)/(b*d*n*(a + b*Log[c*x^n]))","A",3,3,18,0.1667,1,"{2306, 2310, 2178}"
155,1,142,0,0.1391698,"\int \frac{(d x)^m}{\left(a+b \log \left(c x^n\right)\right)^3} \, dx","Int[(d*x)^m/(a + b*Log[c*x^n])^3,x]","\frac{(m+1)^2 (d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 d n^3}-\frac{(m+1) (d x)^{m+1}}{2 b^2 d n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{(d x)^{m+1}}{2 b d n \left(a+b \log \left(c x^n\right)\right)^2}","\frac{(m+1)^2 (d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 b^3 d n^3}-\frac{(m+1) (d x)^{m+1}}{2 b^2 d n^2 \left(a+b \log \left(c x^n\right)\right)}-\frac{(d x)^{m+1}}{2 b d n \left(a+b \log \left(c x^n\right)\right)^2}",1,"((1 + m)^2*(d*x)^(1 + m)*ExpIntegralEi[((1 + m)*(a + b*Log[c*x^n]))/(b*n)])/(2*b^3*d*E^((a*(1 + m))/(b*n))*n^3*(c*x^n)^((1 + m)/n)) - (d*x)^(1 + m)/(2*b*d*n*(a + b*Log[c*x^n])^2) - ((1 + m)*(d*x)^(1 + m))/(2*b^2*d*n^2*(a + b*Log[c*x^n]))","A",4,3,18,0.1667,1,"{2306, 2310, 2178}"
156,1,74,0,0.0531129,"\int (d x)^{-1+n} \log ^3\left(c x^n\right) \, dx","Int[(d*x)^(-1 + n)*Log[c*x^n]^3,x]","\frac{(d x)^n \log ^3\left(c x^n\right)}{d n}-\frac{3 (d x)^n \log ^2\left(c x^n\right)}{d n}+\frac{6 (d x)^n \log \left(c x^n\right)}{d n}-\frac{6 (d x)^n}{d n}","\frac{(d x)^n \log ^3\left(c x^n\right)}{d n}-\frac{3 (d x)^n \log ^2\left(c x^n\right)}{d n}+\frac{6 (d x)^n \log \left(c x^n\right)}{d n}-\frac{6 (d x)^n}{d n}",1,"(-6*(d*x)^n)/(d*n) + (6*(d*x)^n*Log[c*x^n])/(d*n) - (3*(d*x)^n*Log[c*x^n]^2)/(d*n) + ((d*x)^n*Log[c*x^n]^3)/(d*n)","A",3,2,16,0.1250,1,"{2305, 2304}"
157,1,53,0,0.031621,"\int (d x)^{-1+n} \log ^2\left(c x^n\right) \, dx","Int[(d*x)^(-1 + n)*Log[c*x^n]^2,x]","\frac{(d x)^n \log ^2\left(c x^n\right)}{d n}-\frac{2 (d x)^n \log \left(c x^n\right)}{d n}+\frac{2 (d x)^n}{d n}","\frac{(d x)^n \log ^2\left(c x^n\right)}{d n}-\frac{2 (d x)^n \log \left(c x^n\right)}{d n}+\frac{2 (d x)^n}{d n}",1,"(2*(d*x)^n)/(d*n) - (2*(d*x)^n*Log[c*x^n])/(d*n) + ((d*x)^n*Log[c*x^n]^2)/(d*n)","A",2,2,16,0.1250,1,"{2305, 2304}"
158,1,32,0,0.0110705,"\int (d x)^{-1+n} \log \left(c x^n\right) \, dx","Int[(d*x)^(-1 + n)*Log[c*x^n],x]","\frac{(d x)^n \log \left(c x^n\right)}{d n}-\frac{(d x)^n}{d n}","\frac{(d x)^n \log \left(c x^n\right)}{d n}-\frac{(d x)^n}{d n}",1,"-((d*x)^n/(d*n)) + ((d*x)^n*Log[c*x^n])/(d*n)","A",1,1,14,0.07143,1,"{2304}"
159,1,27,0,0.0373724,"\int \frac{(d x)^{-1+n}}{\log \left(c x^n\right)} \, dx","Int[(d*x)^(-1 + n)/Log[c*x^n],x]","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{c n}","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{c n}",1,"(x^(1 - n)*(d*x)^(-1 + n)*LogIntegral[c*x^n])/(c*n)","A",3,3,16,0.1875,1,"{2308, 2307, 2298}"
160,1,49,0,0.0527794,"\int \frac{(d x)^{-1+n}}{\log ^2\left(c x^n\right)} \, dx","Int[(d*x)^(-1 + n)/Log[c*x^n]^2,x]","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{c n}-\frac{(d x)^n}{d n \log \left(c x^n\right)}","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{c n}-\frac{(d x)^n}{d n \log \left(c x^n\right)}",1,"-((d*x)^n/(d*n*Log[c*x^n])) + (x^(1 - n)*(d*x)^(-1 + n)*LogIntegral[c*x^n])/(c*n)","A",4,4,16,0.2500,1,"{2306, 2308, 2307, 2298}"
161,1,77,0,0.075966,"\int \frac{(d x)^{-1+n}}{\log ^3\left(c x^n\right)} \, dx","Int[(d*x)^(-1 + n)/Log[c*x^n]^3,x]","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{2 c n}-\frac{(d x)^n}{2 d n \log ^2\left(c x^n\right)}-\frac{(d x)^n}{2 d n \log \left(c x^n\right)}","\frac{x^{1-n} (d x)^{n-1} \text{li}\left(c x^n\right)}{2 c n}-\frac{(d x)^n}{2 d n \log ^2\left(c x^n\right)}-\frac{(d x)^n}{2 d n \log \left(c x^n\right)}",1,"-(d*x)^n/(2*d*n*Log[c*x^n]^2) - (d*x)^n/(2*d*n*Log[c*x^n]) + (x^(1 - n)*(d*x)^(-1 + n)*LogIntegral[c*x^n])/(2*c*n)","A",5,4,16,0.2500,1,"{2306, 2308, 2307, 2298}"
162,1,111,0,0.1255835,"\int x^m \log ^{\frac{3}{2}}\left(a x^n\right) \, dx","Int[x^m*Log[a*x^n]^(3/2),x]","\frac{3 \sqrt{\pi } n^{3/2} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 (m+1)^{5/2}}+\frac{x^{m+1} \log ^{\frac{3}{2}}\left(a x^n\right)}{m+1}-\frac{3 n x^{m+1} \sqrt{\log \left(a x^n\right)}}{2 (m+1)^2}","\frac{3 \sqrt{\pi } n^{3/2} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{4 (m+1)^{5/2}}+\frac{x^{m+1} \log ^{\frac{3}{2}}\left(a x^n\right)}{m+1}-\frac{3 n x^{m+1} \sqrt{\log \left(a x^n\right)}}{2 (m+1)^2}",1,"(3*n^(3/2)*Sqrt[Pi]*x^(1 + m)*Erfi[(Sqrt[1 + m]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(4*(1 + m)^(5/2)*(a*x^n)^((1 + m)/n)) - (3*n*x^(1 + m)*Sqrt[Log[a*x^n]])/(2*(1 + m)^2) + (x^(1 + m)*Log[a*x^n]^(3/2))/(1 + m)","A",5,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
163,1,86,0,0.0665412,"\int x^m \sqrt{\log \left(a x^n\right)} \, dx","Int[x^m*Sqrt[Log[a*x^n]],x]","\frac{x^{m+1} \sqrt{\log \left(a x^n\right)}}{m+1}-\frac{\sqrt{\pi } \sqrt{n} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 (m+1)^{3/2}}","\frac{x^{m+1} \sqrt{\log \left(a x^n\right)}}{m+1}-\frac{\sqrt{\pi } \sqrt{n} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{2 (m+1)^{3/2}}",1,"-(Sqrt[n]*Sqrt[Pi]*x^(1 + m)*Erfi[(Sqrt[1 + m]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(2*(1 + m)^(3/2)*(a*x^n)^((1 + m)/n)) + (x^(1 + m)*Sqrt[Log[a*x^n]])/(1 + m)","A",4,4,14,0.2857,1,"{2305, 2310, 2180, 2204}"
164,1,61,0,0.0472519,"\int \frac{x^m}{\sqrt{\log \left(a x^n\right)}} \, dx","Int[x^m/Sqrt[Log[a*x^n]],x]","\frac{\sqrt{\pi } x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{m+1} \sqrt{n}}","\frac{\sqrt{\pi } x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{\sqrt{m+1} \sqrt{n}}",1,"(Sqrt[Pi]*x^(1 + m)*Erfi[(Sqrt[1 + m]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(Sqrt[1 + m]*Sqrt[n]*(a*x^n)^((1 + m)/n))","A",3,3,14,0.2143,1,"{2310, 2180, 2204}"
165,1,83,0,0.0679234,"\int \frac{x^m}{\log ^{\frac{3}{2}}\left(a x^n\right)} \, dx","Int[x^m/Log[a*x^n]^(3/2),x]","\frac{2 \sqrt{\pi } \sqrt{m+1} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^{m+1}}{n \sqrt{\log \left(a x^n\right)}}","\frac{2 \sqrt{\pi } \sqrt{m+1} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{n^{3/2}}-\frac{2 x^{m+1}}{n \sqrt{\log \left(a x^n\right)}}",1,"(2*Sqrt[1 + m]*Sqrt[Pi]*x^(1 + m)*Erfi[(Sqrt[1 + m]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(n^(3/2)*(a*x^n)^((1 + m)/n)) - (2*x^(1 + m))/(n*Sqrt[Log[a*x^n]])","A",4,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
166,1,112,0,0.0919285,"\int \frac{x^m}{\log ^{\frac{5}{2}}\left(a x^n\right)} \, dx","Int[x^m/Log[a*x^n]^(5/2),x]","\frac{4 \sqrt{\pi } (m+1)^{3/2} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{4 (m+1) x^{m+1}}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^{m+1}}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}","\frac{4 \sqrt{\pi } (m+1)^{3/2} x^{m+1} \left(a x^n\right)^{-\frac{m+1}{n}} \text{Erfi}\left(\frac{\sqrt{m+1} \sqrt{\log \left(a x^n\right)}}{\sqrt{n}}\right)}{3 n^{5/2}}-\frac{4 (m+1) x^{m+1}}{3 n^2 \sqrt{\log \left(a x^n\right)}}-\frac{2 x^{m+1}}{3 n \log ^{\frac{3}{2}}\left(a x^n\right)}",1,"(4*(1 + m)^(3/2)*Sqrt[Pi]*x^(1 + m)*Erfi[(Sqrt[1 + m]*Sqrt[Log[a*x^n]])/Sqrt[n]])/(3*n^(5/2)*(a*x^n)^((1 + m)/n)) - (2*x^(1 + m))/(3*n*Log[a*x^n]^(3/2)) - (4*(1 + m)*x^(1 + m))/(3*n^2*Sqrt[Log[a*x^n]])","A",5,4,14,0.2857,1,"{2306, 2310, 2180, 2204}"
167,1,106,0,0.0694941,"\int (d x)^m \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[(d*x)^m*(a + b*Log[c*x^n])^p,x]","\frac{(d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{d (m+1)}","\frac{(d x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{d (m+1)}",1,"((d*x)^(1 + m)*Gamma[1 + p, -(((1 + m)*(a + b*Log[c*x^n]))/(b*n))]*(a + b*Log[c*x^n])^p)/(d*E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n)*(-(((1 + m)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",2,2,18,0.1111,1,"{2310, 2181}"
168,1,89,0,0.0643562,"\int x^2 \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[x^2*(a + b*Log[c*x^n])^p,x]","3^{-p-1} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","3^{-p-1} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(3^(-1 - p)*x^3*Gamma[1 + p, (-3*(a + b*Log[c*x^n]))/(b*n)]*(a + b*Log[c*x^n])^p)/(E^((3*a)/(b*n))*(c*x^n)^(3/n)*(-((a + b*Log[c*x^n])/(b*n)))^p)","A",2,2,16,0.1250,1,"{2310, 2181}"
169,1,89,0,0.0515543,"\int x \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[x*(a + b*Log[c*x^n])^p,x]","2^{-p-1} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","2^{-p-1} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(2^(-1 - p)*x^2*Gamma[1 + p, (-2*(a + b*Log[c*x^n]))/(b*n)]*(a + b*Log[c*x^n])^p)/(E^((2*a)/(b*n))*(c*x^n)^(2/n)*(-((a + b*Log[c*x^n])/(b*n)))^p)","A",2,2,14,0.1429,1,"{2310, 2181}"
170,1,80,0,0.0375806,"\int \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[(a + b*Log[c*x^n])^p,x]","x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log \left(c x^n\right)}{b n}\right)","x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log \left(c x^n\right)}{b n}\right)",1,"(x*Gamma[1 + p, -((a + b*Log[c*x^n])/(b*n))]*(a + b*Log[c*x^n])^p)/(E^(a/(b*n))*(c*x^n)^n^(-1)*(-((a + b*Log[c*x^n])/(b*n)))^p)","A",2,2,12,0.1667,1,"{2300, 2181}"
171,1,26,0,0.0317464,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^p}{x} \, dx","Int[(a + b*Log[c*x^n])^p/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right)^{p+1}}{b n (p+1)}","\frac{\left(a+b \log \left(c x^n\right)\right)^{p+1}}{b n (p+1)}",1,"(a + b*Log[c*x^n])^(1 + p)/(b*n*(1 + p))","A",2,2,16,0.1250,1,"{2302, 30}"
172,1,78,0,0.0544756,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^p}{x^2} \, dx","Int[(a + b*Log[c*x^n])^p/x^2,x]","-\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{a+b \log \left(c x^n\right)}{b n}\right)}{x}","-\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{a+b \log \left(c x^n\right)}{b n}\right)}{x}",1,"-((E^(a/(b*n))*(c*x^n)^n^(-1)*Gamma[1 + p, (a + b*Log[c*x^n])/(b*n)]*(a + b*Log[c*x^n])^p)/(x*((a + b*Log[c*x^n])/(b*n))^p))","A",2,2,16,0.1250,1,"{2310, 2181}"
173,1,89,0,0.0583266,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^p}{x^3} \, dx","Int[(a + b*Log[c*x^n])^p/x^3,x]","-\frac{2^{-p-1} e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x^2}","-\frac{2^{-p-1} e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x^2}",1,"-((2^(-1 - p)*E^((2*a)/(b*n))*(c*x^n)^(2/n)*Gamma[1 + p, (2*(a + b*Log[c*x^n]))/(b*n)]*(a + b*Log[c*x^n])^p)/(x^2*((a + b*Log[c*x^n])/(b*n))^p))","A",2,2,16,0.1250,1,"{2310, 2181}"
174,1,89,0,0.0585755,"\int \frac{\left(a+b \log \left(c x^n\right)\right)^p}{x^4} \, dx","Int[(a + b*Log[c*x^n])^p/x^4,x]","-\frac{3^{-p-1} e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x^3}","-\frac{3^{-p-1} e^{\frac{3 a}{b n}} \left(c x^n\right)^{3/n} \left(a+b \log \left(c x^n\right)\right)^p \left(\frac{a+b \log \left(c x^n\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,\frac{3 \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x^3}",1,"-((3^(-1 - p)*E^((3*a)/(b*n))*(c*x^n)^(3/n)*Gamma[1 + p, (3*(a + b*Log[c*x^n]))/(b*n)]*(a + b*Log[c*x^n])^p)/(x^3*((a + b*Log[c*x^n])/(b*n))^p))","A",2,2,16,0.1250,1,"{2310, 2181}"
175,1,86,0,0.0717138,"\int (d x)^m (a+b \log (c x))^p \, dx","Int[(d*x)^m*(a + b*Log[c*x])^p,x]","\frac{e^{-\frac{a (m+1)}{b}} (c x)^{-m-1} (d x)^{m+1} (a+b \log (c x))^p \left(-\frac{(m+1) (a+b \log (c x))}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) (a+b \log (c x))}{b}\right)}{d (m+1)}","\frac{e^{-\frac{a (m+1)}{b}} (c x)^{-m-1} (d x)^{m+1} (a+b \log (c x))^p \left(-\frac{(m+1) (a+b \log (c x))}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m+1) (a+b \log (c x))}{b}\right)}{d (m+1)}",1,"((c*x)^(-1 - m)*(d*x)^(1 + m)*Gamma[1 + p, -(((1 + m)*(a + b*Log[c*x]))/b)]*(a + b*Log[c*x])^p)/(d*E^((a*(1 + m))/b)*(1 + m)*(-(((1 + m)*(a + b*Log[c*x]))/b))^p)","A",2,2,16,0.1250,1,"{2310, 2181}"
176,1,63,0,0.0588589,"\int x^2 (a+b \log (c x))^p \, dx","Int[x^2*(a + b*Log[c*x])^p,x]","\frac{3^{-p-1} e^{-\frac{3 a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{3 (a+b \log (c x))}{b}\right)}{c^3}","\frac{3^{-p-1} e^{-\frac{3 a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{3 (a+b \log (c x))}{b}\right)}{c^3}",1,"(3^(-1 - p)*Gamma[1 + p, (-3*(a + b*Log[c*x]))/b]*(a + b*Log[c*x])^p)/(c^3*E^((3*a)/b)*(-((a + b*Log[c*x])/b))^p)","A",2,2,14,0.1429,1,"{2309, 2181}"
177,1,63,0,0.0474052,"\int x (a+b \log (c x))^p \, dx","Int[x*(a + b*Log[c*x])^p,x]","\frac{2^{-p-1} e^{-\frac{2 a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 (a+b \log (c x))}{b}\right)}{c^2}","\frac{2^{-p-1} e^{-\frac{2 a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 (a+b \log (c x))}{b}\right)}{c^2}",1,"(2^(-1 - p)*Gamma[1 + p, (-2*(a + b*Log[c*x]))/b]*(a + b*Log[c*x])^p)/(c^2*E^((2*a)/b)*(-((a + b*Log[c*x])/b))^p)","A",2,2,12,0.1667,1,"{2309, 2181}"
178,1,56,0,0.0329044,"\int (a+b \log (c x))^p \, dx","Int[(a + b*Log[c*x])^p,x]","\frac{e^{-\frac{a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log (c x)}{b}\right)}{c}","\frac{e^{-\frac{a}{b}} (a+b \log (c x))^p \left(-\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log (c x)}{b}\right)}{c}",1,"(Gamma[1 + p, -((a + b*Log[c*x])/b)]*(a + b*Log[c*x])^p)/(c*E^(a/b)*(-((a + b*Log[c*x])/b))^p)","A",2,2,10,0.2000,1,"{2299, 2181}"
179,1,21,0,0.0276097,"\int \frac{(a+b \log (c x))^p}{x} \, dx","Int[(a + b*Log[c*x])^p/x,x]","\frac{(a+b \log (c x))^{p+1}}{b (p+1)}","\frac{(a+b \log (c x))^{p+1}}{b (p+1)}",1,"(a + b*Log[c*x])^(1 + p)/(b*(1 + p))","A",2,2,14,0.1429,1,"{2302, 30}"
180,1,52,0,0.0493041,"\int \frac{(a+b \log (c x))^p}{x^2} \, dx","Int[(a + b*Log[c*x])^p/x^2,x]","-c e^{a/b} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{a+b \log (c x)}{b}\right)","-c e^{a/b} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{a+b \log (c x)}{b}\right)",1,"-((c*E^(a/b)*Gamma[1 + p, (a + b*Log[c*x])/b]*(a + b*Log[c*x])^p)/((a + b*Log[c*x])/b)^p)","A",2,2,14,0.1429,1,"{2309, 2181}"
181,1,63,0,0.0548788,"\int \frac{(a+b \log (c x))^p}{x^3} \, dx","Int[(a + b*Log[c*x])^p/x^3,x]","c^2 \left(-2^{-p-1}\right) e^{\frac{2 a}{b}} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 (a+b \log (c x))}{b}\right)","c^2 \left(-2^{-p-1}\right) e^{\frac{2 a}{b}} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 (a+b \log (c x))}{b}\right)",1,"-((2^(-1 - p)*c^2*E^((2*a)/b)*Gamma[1 + p, (2*(a + b*Log[c*x]))/b]*(a + b*Log[c*x])^p)/((a + b*Log[c*x])/b)^p)","A",2,2,14,0.1429,1,"{2309, 2181}"
182,1,63,0,0.0543657,"\int \frac{(a+b \log (c x))^p}{x^4} \, dx","Int[(a + b*Log[c*x])^p/x^4,x]","c^3 \left(-3^{-p-1}\right) e^{\frac{3 a}{b}} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{3 (a+b \log (c x))}{b}\right)","c^3 \left(-3^{-p-1}\right) e^{\frac{3 a}{b}} (a+b \log (c x))^p \left(\frac{a+b \log (c x)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{3 (a+b \log (c x))}{b}\right)",1,"-((3^(-1 - p)*c^3*E^((3*a)/b)*Gamma[1 + p, (3*(a + b*Log[c*x]))/b]*(a + b*Log[c*x])^p)/((a + b*Log[c*x])/b)^p)","A",2,2,14,0.1429,1,"{2309, 2181}"
183,1,107,0,0.0839944,"\int (d x)^m \left(a+b \log \left(c \sqrt{x}\right)\right)^p \, dx","Int[(d*x)^m*(a + b*Log[c*Sqrt[x]])^p,x]","\frac{2^{-p} e^{-\frac{2 a (m+1)}{b}} \left(c \sqrt{x}\right)^{-2 (m+1)} (d x)^{m+1} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{(m+1) \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 (m+1) \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{d (m+1)}","\frac{2^{-p} e^{-\frac{2 a (m+1)}{b}} \left(c \sqrt{x}\right)^{-2 (m+1)} (d x)^{m+1} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{(m+1) \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 (m+1) \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{d (m+1)}",1,"((d*x)^(1 + m)*Gamma[1 + p, (-2*(1 + m)*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(2^p*d*E^((2*a*(1 + m))/b)*(1 + m)*(c*Sqrt[x])^(2*(1 + m))*(-(((1 + m)*(a + b*Log[c*Sqrt[x]]))/b))^p)","A",2,2,20,0.1000,1,"{2310, 2181}"
184,1,80,0,0.0620918,"\int x^2 \left(a+b \log \left(c \sqrt{x}\right)\right)^p \, dx","Int[x^2*(a + b*Log[c*Sqrt[x]])^p,x]","\frac{2^{-p} 3^{-p-1} e^{-\frac{6 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{6 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^6}","\frac{2^{-p} 3^{-p-1} e^{-\frac{6 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{6 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^6}",1,"(3^(-1 - p)*Gamma[1 + p, (-6*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(2^p*c^6*E^((6*a)/b)*(-((a + b*Log[c*Sqrt[x]])/b))^p)","A",2,2,18,0.1111,1,"{2310, 2181}"
185,1,75,0,0.0548699,"\int x \left(a+b \log \left(c \sqrt{x}\right)\right)^p \, dx","Int[x*(a + b*Log[c*Sqrt[x]])^p,x]","\frac{2^{-2 p-1} e^{-\frac{4 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{4 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^4}","\frac{2^{-2 p-1} e^{-\frac{4 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{4 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^4}",1,"(2^(-1 - 2*p)*Gamma[1 + p, (-4*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(c^4*E^((4*a)/b)*(-((a + b*Log[c*Sqrt[x]])/b))^p)","A",2,2,16,0.1250,1,"{2310, 2181}"
186,1,73,0,0.0351927,"\int \left(a+b \log \left(c \sqrt{x}\right)\right)^p \, dx","Int[(a + b*Log[c*Sqrt[x]])^p,x]","\frac{2^{-p} e^{-\frac{2 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^2}","\frac{2^{-p} e^{-\frac{2 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(-\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)}{c^2}",1,"(Gamma[1 + p, (-2*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(2^p*c^2*E^((2*a)/b)*(-((a + b*Log[c*Sqrt[x]])/b))^p)","A",2,2,14,0.1429,1,"{2299, 2181}"
187,1,26,0,0.0284044,"\int \frac{\left(a+b \log \left(c \sqrt{x}\right)\right)^p}{x} \, dx","Int[(a + b*Log[c*Sqrt[x]])^p/x,x]","\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)^{p+1}}{b (p+1)}","\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)^{p+1}}{b (p+1)}",1,"(2*(a + b*Log[c*Sqrt[x]])^(1 + p))/(b*(1 + p))","A",2,2,18,0.1111,1,"{2302, 30}"
188,1,73,0,0.0521968,"\int \frac{\left(a+b \log \left(c \sqrt{x}\right)\right)^p}{x^2} \, dx","Int[(a + b*Log[c*Sqrt[x]])^p/x^2,x]","c^2 \left(-2^{-p}\right) e^{\frac{2 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)","c^2 \left(-2^{-p}\right) e^{\frac{2 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{2 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)",1,"-((c^2*E^((2*a)/b)*Gamma[1 + p, (2*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(2^p*((a + b*Log[c*Sqrt[x]])/b)^p))","A",2,2,18,0.1111,1,"{2310, 2181}"
189,1,75,0,0.0583778,"\int \frac{\left(a+b \log \left(c \sqrt{x}\right)\right)^p}{x^3} \, dx","Int[(a + b*Log[c*Sqrt[x]])^p/x^3,x]","c^4 \left(-2^{-2 p-1}\right) e^{\frac{4 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{4 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)","c^4 \left(-2^{-2 p-1}\right) e^{\frac{4 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{4 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)",1,"-((2^(-1 - 2*p)*c^4*E^((4*a)/b)*Gamma[1 + p, (4*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/((a + b*Log[c*Sqrt[x]])/b)^p)","A",2,2,18,0.1111,1,"{2310, 2181}"
190,1,80,0,0.0583173,"\int \frac{\left(a+b \log \left(c \sqrt{x}\right)\right)^p}{x^4} \, dx","Int[(a + b*Log[c*Sqrt[x]])^p/x^4,x]","c^6 \left(-2^{-p}\right) 3^{-p-1} e^{\frac{6 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{6 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)","c^6 \left(-2^{-p}\right) 3^{-p-1} e^{\frac{6 a}{b}} \left(a+b \log \left(c \sqrt{x}\right)\right)^p \left(\frac{a+b \log \left(c \sqrt{x}\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,\frac{6 \left(a+b \log \left(c \sqrt{x}\right)\right)}{b}\right)",1,"-((3^(-1 - p)*c^6*E^((6*a)/b)*Gamma[1 + p, (6*(a + b*Log[c*Sqrt[x]]))/b]*(a + b*Log[c*Sqrt[x]])^p)/(2^p*((a + b*Log[c*Sqrt[x]])/b)^p))","A",2,2,18,0.1111,1,"{2310, 2181}"
191,1,65,0,0.0512487,"\int x^{-1+n} \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[x^(-1 + n)*(a + b*Log[c*x^n])^p,x]","\frac{e^{-\frac{a}{b}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log \left(c x^n\right)}{b}\right)}{c n}","\frac{e^{-\frac{a}{b}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{a+b \log \left(c x^n\right)}{b}\right)^{-p} \text{Gamma}\left(p+1,-\frac{a+b \log \left(c x^n\right)}{b}\right)}{c n}",1,"(Gamma[1 + p, -((a + b*Log[c*x^n])/b)]*(a + b*Log[c*x^n])^p)/(c*E^(a/b)*n*(-((a + b*Log[c*x^n])/b))^p)","A",2,2,18,0.1111,1,"{2310, 2181}"
192,1,114,0,0.1071436,"\int \left(d x^q\right)^m \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[(d*x^q)^m*(a + b*Log[c*x^n])^p,x]","\frac{x \left(d x^q\right)^m e^{-\frac{a m q+a}{b n}} \left(c x^n\right)^{-\frac{m q+1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{(m q+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m q+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{m q+1}","\frac{x \left(d x^q\right)^m e^{-\frac{a m q+a}{b n}} \left(c x^n\right)^{-\frac{m q+1}{n}} \left(a+b \log \left(c x^n\right)\right)^p \left(-\frac{(m q+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(m q+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{m q+1}",1,"(x*(d*x^q)^m*Gamma[1 + p, -(((1 + m*q)*(a + b*Log[c*x^n]))/(b*n))]*(a + b*Log[c*x^n])^p)/(E^((a + a*m*q)/(b*n))*(1 + m*q)*(c*x^n)^((1 + m*q)/n)*(-(((1 + m*q)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",3,3,20,0.1500,1,"{15, 2310, 2181}"
193,1,136,0,0.1683404,"\int \left(\text{d1} x^{\text{q1}}\right)^{\text{m1}} \left(\text{d2} x^{\text{q2}}\right)^{\text{m2}} \left(a+b \log \left(c x^n\right)\right)^p \, dx","Int[(d1*x^q1)^m1*(d2*x^q2)^m2*(a + b*Log[c*x^n])^p,x]","\frac{x \left(\text{d1} x^{\text{q1}}\right)^{\text{m1}} \left(\text{d2} x^{\text{q2}}\right)^{\text{m2}} \left(a+b \log \left(c x^n\right)\right)^p e^{-\frac{a (\text{m1} \text{q1}+\text{m2} \text{q2}+1)}{b n}} \left(c x^n\right)^{-\frac{\text{m1} \text{q1}+\text{m2} \text{q2}+1}{n}} \left(-\frac{(\text{m1} \text{q1}+\text{m2} \text{q2}+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(\text{m1} \text{q1}+\text{m2} \text{q2}+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{\text{m1} \text{q1}+\text{m2} \text{q2}+1}","\frac{x \left(\text{d1} x^{\text{q1}}\right)^{\text{m1}} \left(\text{d2} x^{\text{q2}}\right)^{\text{m2}} \left(a+b \log \left(c x^n\right)\right)^p e^{-\frac{a (\text{m1} \text{q1}+\text{m2} \text{q2}+1)}{b n}} \left(c x^n\right)^{-\frac{\text{m1} \text{q1}+\text{m2} \text{q2}+1}{n}} \left(-\frac{(\text{m1} \text{q1}+\text{m2} \text{q2}+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \text{Gamma}\left(p+1,-\frac{(\text{m1} \text{q1}+\text{m2} \text{q2}+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{\text{m1} \text{q1}+\text{m2} \text{q2}+1}",1,"(x*(d1*x^q1)^m1*(d2*x^q2)^m2*Gamma[1 + p, -(((1 + m1*q1 + m2*q2)*(a + b*Log[c*x^n]))/(b*n))]*(a + b*Log[c*x^n])^p)/(E^((a*(1 + m1*q1 + m2*q2))/(b*n))*(1 + m1*q1 + m2*q2)*(c*x^n)^((1 + m1*q1 + m2*q2)/n)*(-(((1 + m1*q1 + m2*q2)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",4,3,27,0.1111,1,"{15, 2310, 2181}"