1,1,86,0,0.073956,"\int x^m \text{Si}(b x) \, dx","Int[x^m*SinIntegral[b*x],x]","\frac{x^m (-i b x)^{-m} \text{Gamma}(m+1,-i b x)}{2 b (m+1)}+\frac{x^m (i b x)^{-m} \text{Gamma}(m+1,i b x)}{2 b (m+1)}+\frac{x^{m+1} \text{Si}(b x)}{m+1}","\frac{x^m (-i b x)^{-m} \text{Gamma}(m+1,-i b x)}{2 b (m+1)}+\frac{x^m (i b x)^{-m} \text{Gamma}(m+1,i b x)}{2 b (m+1)}+\frac{x^{m+1} \text{Si}(b x)}{m+1}",1,"(x^m*Gamma[1 + m, (-I)*b*x])/(2*b*(1 + m)*((-I)*b*x)^m) + (x^m*Gamma[1 + m, I*b*x])/(2*b*(1 + m)*(I*b*x)^m) + (x^(1 + m)*SinIntegral[b*x])/(1 + m)","A",5,4,8,0.5000,1,"{6503, 12, 3308, 2181}"
2,1,63,0,0.0684778,"\int x^3 \text{Si}(b x) \, dx","Int[x^3*SinIntegral[b*x],x]","-\frac{3 x^2 \sin (b x)}{4 b^2}+\frac{3 \sin (b x)}{2 b^4}-\frac{3 x \cos (b x)}{2 b^3}+\frac{1}{4} x^4 \text{Si}(b x)+\frac{x^3 \cos (b x)}{4 b}","-\frac{3 x^2 \sin (b x)}{4 b^2}+\frac{3 \sin (b x)}{2 b^4}-\frac{3 x \cos (b x)}{2 b^3}+\frac{1}{4} x^4 \text{Si}(b x)+\frac{x^3 \cos (b x)}{4 b}",1,"(-3*x*Cos[b*x])/(2*b^3) + (x^3*Cos[b*x])/(4*b) + (3*Sin[b*x])/(2*b^4) - (3*x^2*Sin[b*x])/(4*b^2) + (x^4*SinIntegral[b*x])/4","A",6,4,8,0.5000,1,"{6503, 12, 3296, 2637}"
3,1,49,0,0.0461829,"\int x^2 \text{Si}(b x) \, dx","Int[x^2*SinIntegral[b*x],x]","-\frac{2 x \sin (b x)}{3 b^2}-\frac{2 \cos (b x)}{3 b^3}+\frac{1}{3} x^3 \text{Si}(b x)+\frac{x^2 \cos (b x)}{3 b}","-\frac{2 x \sin (b x)}{3 b^2}-\frac{2 \cos (b x)}{3 b^3}+\frac{1}{3} x^3 \text{Si}(b x)+\frac{x^2 \cos (b x)}{3 b}",1,"(-2*Cos[b*x])/(3*b^3) + (x^2*Cos[b*x])/(3*b) - (2*x*Sin[b*x])/(3*b^2) + (x^3*SinIntegral[b*x])/3","A",5,4,8,0.5000,1,"{6503, 12, 3296, 2638}"
4,1,35,0,0.0227732,"\int x \text{Si}(b x) \, dx","Int[x*SinIntegral[b*x],x]","-\frac{\sin (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(b x)+\frac{x \cos (b x)}{2 b}","-\frac{\sin (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(b x)+\frac{x \cos (b x)}{2 b}",1,"(x*Cos[b*x])/(2*b) - Sin[b*x]/(2*b^2) + (x^2*SinIntegral[b*x])/2","A",4,4,6,0.6667,1,"{6503, 12, 3296, 2637}"
5,1,15,0,0.0038514,"\int \text{Si}(b x) \, dx","Int[SinIntegral[b*x],x]","x \text{Si}(b x)+\frac{\cos (b x)}{b}","x \text{Si}(b x)+\frac{\cos (b x)}{b}",1,"Cos[b*x]/b + x*SinIntegral[b*x]","A",1,1,4,0.2500,1,"{6499}"
6,1,43,0,0.0200348,"\int \frac{\text{Si}(b x)}{x} \, dx","Int[SinIntegral[b*x]/x,x]","\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-i b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;i b x)","\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-i b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;i b x)",1,"(b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, (-I)*b*x])/2 + (b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, I*b*x])/2","A",1,1,8,0.1250,1,"{6501}"
7,1,25,0,0.0452787,"\int \frac{\text{Si}(b x)}{x^2} \, dx","Int[SinIntegral[b*x]/x^2,x]","b \text{CosIntegral}(b x)-\frac{\text{Si}(b x)}{x}-\frac{\sin (b x)}{x}","b \text{CosIntegral}(b x)-\frac{\text{Si}(b x)}{x}-\frac{\sin (b x)}{x}",1,"b*CosIntegral[b*x] - Sin[b*x]/x - SinIntegral[b*x]/x","A",4,4,8,0.5000,1,"{6503, 12, 3297, 3302}"
8,1,46,0,0.0646036,"\int \frac{\text{Si}(b x)}{x^3} \, dx","Int[SinIntegral[b*x]/x^3,x]","-\frac{1}{4} b^2 \text{Si}(b x)-\frac{\text{Si}(b x)}{2 x^2}-\frac{\sin (b x)}{4 x^2}-\frac{b \cos (b x)}{4 x}","-\frac{1}{4} b^2 \text{Si}(b x)-\frac{\text{Si}(b x)}{2 x^2}-\frac{\sin (b x)}{4 x^2}-\frac{b \cos (b x)}{4 x}",1,"-(b*Cos[b*x])/(4*x) - Sin[b*x]/(4*x^2) - (b^2*SinIntegral[b*x])/4 - SinIntegral[b*x]/(2*x^2)","A",5,4,8,0.5000,1,"{6503, 12, 3297, 3299}"
9,0,0,0,0.0310492,"\int x^m \text{Si}(b x)^2 \, dx","Int[x^m*SinIntegral[b*x]^2,x]","\int x^m \text{Si}(b x)^2 \, dx","\text{Int}\left(x^m \text{Si}(b x)^2,x\right)",0,"Defer[Int][x^m*SinIntegral[b*x]^2, x]","A",0,0,0,0,-1,"{}"
10,1,149,0,0.2158494,"\int x^3 \text{Si}(b x)^2 \, dx","Int[x^3*SinIntegral[b*x]^2,x]","\frac{3 \text{CosIntegral}(2 b x)}{2 b^4}-\frac{3 x^2 \text{Si}(b x) \sin (b x)}{2 b^2}+\frac{3 \text{Si}(b x) \sin (b x)}{b^4}-\frac{3 x \text{Si}(b x) \cos (b x)}{b^3}+\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{4 b^2}-\frac{3 \log (x)}{2 b^4}+\frac{2 \sin ^2(b x)}{b^4}-\frac{x \sin (b x) \cos (b x)}{b^3}+\frac{1}{4} x^4 \text{Si}(b x)^2+\frac{x^3 \text{Si}(b x) \cos (b x)}{2 b}","\frac{3 \text{CosIntegral}(2 b x)}{2 b^4}-\frac{3 x^2 \text{Si}(b x) \sin (b x)}{2 b^2}+\frac{3 \text{Si}(b x) \sin (b x)}{b^4}-\frac{3 x \text{Si}(b x) \cos (b x)}{b^3}+\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{4 b^2}-\frac{3 \log (x)}{2 b^4}+\frac{2 \sin ^2(b x)}{b^4}-\frac{x \sin (b x) \cos (b x)}{b^3}+\frac{1}{4} x^4 \text{Si}(b x)^2+\frac{x^3 \text{Si}(b x) \cos (b x)}{2 b}",1,"x^2/(2*b^2) + (3*CosIntegral[2*b*x])/(2*b^4) - (3*Log[x])/(2*b^4) - (x*Cos[b*x]*Sin[b*x])/b^3 + (2*Sin[b*x]^2)/b^4 - (x^2*Sin[b*x]^2)/(4*b^2) - (3*x*Cos[b*x]*SinIntegral[b*x])/b^3 + (x^3*Cos[b*x]*SinIntegral[b*x])/(2*b) + (3*Sin[b*x]*SinIntegral[b*x])/b^4 - (3*x^2*Sin[b*x]*SinIntegral[b*x])/(2*b^2) + (x^4*SinIntegral[b*x]^2)/4","A",19,11,10,1.100,1,"{6507, 6513, 12, 3443, 3310, 30, 6519, 2564, 6517, 3312, 3302}"
11,1,112,0,0.1348267,"\int x^2 \text{Si}(b x)^2 \, dx","Int[x^2*SinIntegral[b*x]^2,x]","\frac{2 \text{Si}(2 b x)}{3 b^3}-\frac{4 x \text{Si}(b x) \sin (b x)}{3 b^2}-\frac{4 \text{Si}(b x) \cos (b x)}{3 b^3}+\frac{5 x}{6 b^2}-\frac{x \sin ^2(b x)}{3 b^2}-\frac{5 \sin (b x) \cos (b x)}{6 b^3}+\frac{1}{3} x^3 \text{Si}(b x)^2+\frac{2 x^2 \text{Si}(b x) \cos (b x)}{3 b}","\frac{2 \text{Si}(2 b x)}{3 b^3}-\frac{4 x \text{Si}(b x) \sin (b x)}{3 b^2}-\frac{4 \text{Si}(b x) \cos (b x)}{3 b^3}+\frac{5 x}{6 b^2}-\frac{x \sin ^2(b x)}{3 b^2}-\frac{5 \sin (b x) \cos (b x)}{6 b^3}+\frac{1}{3} x^3 \text{Si}(b x)^2+\frac{2 x^2 \text{Si}(b x) \cos (b x)}{3 b}",1,"(5*x)/(6*b^2) - (5*Cos[b*x]*Sin[b*x])/(6*b^3) - (x*Sin[b*x]^2)/(3*b^2) - (4*Cos[b*x]*SinIntegral[b*x])/(3*b^3) + (2*x^2*Cos[b*x]*SinIntegral[b*x])/(3*b) - (4*x*Sin[b*x]*SinIntegral[b*x])/(3*b^2) + (x^3*SinIntegral[b*x]^2)/3 + (2*SinIntegral[2*b*x])/(3*b^3)","A",15,10,10,1.000,1,"{6507, 6513, 12, 3443, 2635, 8, 6519, 6511, 4406, 3299}"
12,1,74,0,0.0952158,"\int x \text{Si}(b x)^2 \, dx","Int[x*SinIntegral[b*x]^2,x]","-\frac{\text{CosIntegral}(2 b x)}{2 b^2}-\frac{\text{Si}(b x) \sin (b x)}{b^2}+\frac{\log (x)}{2 b^2}-\frac{\sin ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(b x)^2+\frac{x \text{Si}(b x) \cos (b x)}{b}","-\frac{\text{CosIntegral}(2 b x)}{2 b^2}-\frac{\text{Si}(b x) \sin (b x)}{b^2}+\frac{\log (x)}{2 b^2}-\frac{\sin ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(b x)^2+\frac{x \text{Si}(b x) \cos (b x)}{b}",1,"-CosIntegral[2*b*x]/(2*b^2) + Log[x]/(2*b^2) - Sin[b*x]^2/(2*b^2) + (x*Cos[b*x]*SinIntegral[b*x])/b - (Sin[b*x]*SinIntegral[b*x])/b^2 + (x^2*SinIntegral[b*x]^2)/2","A",10,8,8,1.000,1,"{6507, 6513, 12, 2564, 30, 6517, 3312, 3302}"
13,1,32,0,0.0508099,"\int \text{Si}(b x)^2 \, dx","Int[SinIntegral[b*x]^2,x]","x \text{Si}(b x)^2-\frac{\text{Si}(2 b x)}{b}+\frac{2 \text{Si}(b x) \cos (b x)}{b}","x \text{Si}(b x)^2-\frac{\text{Si}(2 b x)}{b}+\frac{2 \text{Si}(b x) \cos (b x)}{b}",1,"(2*Cos[b*x]*SinIntegral[b*x])/b + x*SinIntegral[b*x]^2 - SinIntegral[2*b*x]/b","A",6,5,6,0.8333,1,"{6505, 6511, 12, 4406, 3299}"
14,0,0,0,0.022994,"\int \frac{\text{Si}(b x)^2}{x} \, dx","Int[SinIntegral[b*x]^2/x,x]","\int \frac{\text{Si}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Si}(b x)^2}{x},x\right)",0,"Defer[Int][SinIntegral[b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
15,0,0,0,0.0244746,"\int \frac{\text{Si}(b x)^2}{x^2} \, dx","Int[SinIntegral[b*x]^2/x^2,x]","\int \frac{\text{Si}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Si}(b x)^2}{x^2},x\right)",0,"Defer[Int][SinIntegral[b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
16,0,0,0,0.02474,"\int \frac{\text{Si}(b x)^2}{x^3} \, dx","Int[SinIntegral[b*x]^2/x^3,x]","\int \frac{\text{Si}(b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Si}(b x)^2}{x^3},x\right)",0,"Defer[Int][SinIntegral[b*x]^2/x^3, x]","A",0,0,0,0,-1,"{}"
17,0,0,0,0.2945854,"\int x^m \text{Si}(a+b x) \, dx","Int[x^m*SinIntegral[a + b*x],x]","\int x^m \text{Si}(a+b x) \, dx","\frac{x^{m+1} \text{Si}(a+b x)}{m+1}-\frac{b \text{Int}\left(\frac{x^{m+1} \sin (a+b x)}{a+b x},x\right)}{m+1}",0,"(x^(1 + m)*SinIntegral[a + b*x])/(1 + m) - (b*Defer[Int][(x^(1 + m)*Sin[a + b*x])/(a + b*x), x])/(1 + m)","A",0,0,0,0,-1,"{}"
18,1,184,0,0.3678602,"\int x^3 \text{Si}(a+b x) \, dx","Int[x^3*SinIntegral[a + b*x],x]","-\frac{a^4 \text{Si}(a+b x)}{4 b^4}-\frac{a^2 \sin (a+b x)}{4 b^4}-\frac{a^3 \cos (a+b x)}{4 b^4}+\frac{a^2 x \cos (a+b x)}{4 b^3}-\frac{3 x^2 \sin (a+b x)}{4 b^2}-\frac{a x^2 \cos (a+b x)}{4 b^2}+\frac{a x \sin (a+b x)}{2 b^3}+\frac{3 \sin (a+b x)}{2 b^4}+\frac{a \cos (a+b x)}{2 b^4}-\frac{3 x \cos (a+b x)}{2 b^3}+\frac{1}{4} x^4 \text{Si}(a+b x)+\frac{x^3 \cos (a+b x)}{4 b}","-\frac{a^4 \text{Si}(a+b x)}{4 b^4}-\frac{a^2 \sin (a+b x)}{4 b^4}-\frac{a^3 \cos (a+b x)}{4 b^4}+\frac{a^2 x \cos (a+b x)}{4 b^3}-\frac{3 x^2 \sin (a+b x)}{4 b^2}-\frac{a x^2 \cos (a+b x)}{4 b^2}+\frac{a x \sin (a+b x)}{2 b^3}+\frac{3 \sin (a+b x)}{2 b^4}+\frac{a \cos (a+b x)}{2 b^4}-\frac{3 x \cos (a+b x)}{2 b^3}+\frac{1}{4} x^4 \text{Si}(a+b x)+\frac{x^3 \cos (a+b x)}{4 b}",1,"(a*Cos[a + b*x])/(2*b^4) - (a^3*Cos[a + b*x])/(4*b^4) - (3*x*Cos[a + b*x])/(2*b^3) + (a^2*x*Cos[a + b*x])/(4*b^3) - (a*x^2*Cos[a + b*x])/(4*b^2) + (x^3*Cos[a + b*x])/(4*b) + (3*Sin[a + b*x])/(2*b^4) - (a^2*Sin[a + b*x])/(4*b^4) + (a*x*Sin[a + b*x])/(2*b^3) - (3*x^2*Sin[a + b*x])/(4*b^2) - (a^4*SinIntegral[a + b*x])/(4*b^4) + (x^4*SinIntegral[a + b*x])/4","A",14,6,10,0.6000,1,"{6503, 6742, 2638, 3296, 2637, 3299}"
19,1,118,0,0.2766287,"\int x^2 \text{Si}(a+b x) \, dx","Int[x^2*SinIntegral[a + b*x],x]","\frac{a^3 \text{Si}(a+b x)}{3 b^3}+\frac{a^2 \cos (a+b x)}{3 b^3}+\frac{a \sin (a+b x)}{3 b^3}-\frac{2 x \sin (a+b x)}{3 b^2}-\frac{a x \cos (a+b x)}{3 b^2}-\frac{2 \cos (a+b x)}{3 b^3}+\frac{1}{3} x^3 \text{Si}(a+b x)+\frac{x^2 \cos (a+b x)}{3 b}","\frac{a^3 \text{Si}(a+b x)}{3 b^3}+\frac{a^2 \cos (a+b x)}{3 b^3}+\frac{a \sin (a+b x)}{3 b^3}-\frac{2 x \sin (a+b x)}{3 b^2}-\frac{a x \cos (a+b x)}{3 b^2}-\frac{2 \cos (a+b x)}{3 b^3}+\frac{1}{3} x^3 \text{Si}(a+b x)+\frac{x^2 \cos (a+b x)}{3 b}",1,"(-2*Cos[a + b*x])/(3*b^3) + (a^2*Cos[a + b*x])/(3*b^3) - (a*x*Cos[a + b*x])/(3*b^2) + (x^2*Cos[a + b*x])/(3*b) + (a*Sin[a + b*x])/(3*b^3) - (2*x*Sin[a + b*x])/(3*b^2) + (a^3*SinIntegral[a + b*x])/(3*b^3) + (x^3*SinIntegral[a + b*x])/3","A",10,6,10,0.6000,1,"{6503, 6742, 2638, 3296, 2637, 3299}"
20,1,71,0,0.2064094,"\int x \text{Si}(a+b x) \, dx","Int[x*SinIntegral[a + b*x],x]","-\frac{a^2 \text{Si}(a+b x)}{2 b^2}-\frac{\sin (a+b x)}{2 b^2}-\frac{a \cos (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(a+b x)+\frac{x \cos (a+b x)}{2 b}","-\frac{a^2 \text{Si}(a+b x)}{2 b^2}-\frac{\sin (a+b x)}{2 b^2}-\frac{a \cos (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{Si}(a+b x)+\frac{x \cos (a+b x)}{2 b}",1,"-(a*Cos[a + b*x])/(2*b^2) + (x*Cos[a + b*x])/(2*b) - Sin[a + b*x]/(2*b^2) - (a^2*SinIntegral[a + b*x])/(2*b^2) + (x^2*SinIntegral[a + b*x])/2","A",7,6,8,0.7500,1,"{6503, 6742, 2638, 3296, 2637, 3299}"
21,1,26,0,0.0054842,"\int \text{Si}(a+b x) \, dx","Int[SinIntegral[a + b*x],x]","\frac{(a+b x) \text{Si}(a+b x)}{b}+\frac{\cos (a+b x)}{b}","\frac{(a+b x) \text{Si}(a+b x)}{b}+\frac{\cos (a+b x)}{b}",1,"Cos[a + b*x]/b + ((a + b*x)*SinIntegral[a + b*x])/b","A",1,1,6,0.1667,1,"{6499}"
22,0,0,0,0.0235792,"\int \frac{\text{Si}(a+b x)}{x} \, dx","Int[SinIntegral[a + b*x]/x,x]","\int \frac{\text{Si}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x)}{x},x\right)",0,"Defer[Int][SinIntegral[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
23,1,46,0,0.2324047,"\int \frac{\text{Si}(a+b x)}{x^2} \, dx","Int[SinIntegral[a + b*x]/x^2,x]","\frac{b \sin (a) \text{CosIntegral}(b x)}{a}-\frac{b \text{Si}(a+b x)}{a}-\frac{\text{Si}(a+b x)}{x}+\frac{b \cos (a) \text{Si}(b x)}{a}","\frac{b \sin (a) \text{CosIntegral}(b x)}{a}-\frac{b \text{Si}(a+b x)}{a}-\frac{\text{Si}(a+b x)}{x}+\frac{b \cos (a) \text{Si}(b x)}{a}",1,"(b*CosIntegral[b*x]*Sin[a])/a + (b*Cos[a]*SinIntegral[b*x])/a - (b*SinIntegral[a + b*x])/a - SinIntegral[a + b*x]/x","A",7,5,10,0.5000,1,"{6503, 6742, 3303, 3299, 3302}"
24,1,111,0,0.3250457,"\int \frac{\text{Si}(a+b x)}{x^3} \, dx","Int[SinIntegral[a + b*x]/x^3,x]","-\frac{b^2 \sin (a) \text{CosIntegral}(b x)}{2 a^2}+\frac{b^2 \text{Si}(a+b x)}{2 a^2}-\frac{b^2 \cos (a) \text{Si}(b x)}{2 a^2}+\frac{b^2 \cos (a) \text{CosIntegral}(b x)}{2 a}-\frac{b^2 \sin (a) \text{Si}(b x)}{2 a}-\frac{\text{Si}(a+b x)}{2 x^2}-\frac{b \sin (a+b x)}{2 a x}","-\frac{b^2 \sin (a) \text{CosIntegral}(b x)}{2 a^2}+\frac{b^2 \text{Si}(a+b x)}{2 a^2}-\frac{b^2 \cos (a) \text{Si}(b x)}{2 a^2}+\frac{b^2 \cos (a) \text{CosIntegral}(b x)}{2 a}-\frac{b^2 \sin (a) \text{Si}(b x)}{2 a}-\frac{\text{Si}(a+b x)}{2 x^2}-\frac{b \sin (a+b x)}{2 a x}",1,"(b^2*Cos[a]*CosIntegral[b*x])/(2*a) - (b^2*CosIntegral[b*x]*Sin[a])/(2*a^2) - (b*Sin[a + b*x])/(2*a*x) - (b^2*Cos[a]*SinIntegral[b*x])/(2*a^2) - (b^2*Sin[a]*SinIntegral[b*x])/(2*a) + (b^2*SinIntegral[a + b*x])/(2*a^2) - SinIntegral[a + b*x]/(2*x^2)","A",11,6,10,0.6000,1,"{6503, 6742, 3297, 3303, 3299, 3302}"
25,0,0,0,0.0437283,"\int x^m \text{Si}(a+b x)^2 \, dx","Int[x^m*SinIntegral[a + b*x]^2,x]","\int x^m \text{Si}(a+b x)^2 \, dx","\text{Int}\left(x^m \text{Si}(a+b x)^2,x\right)",0,"Defer[Int][x^m*SinIntegral[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
26,1,329,0,1.4950121,"\int x^2 \text{Si}(a+b x)^2 \, dx","Int[x^2*SinIntegral[a + b*x]^2,x]","\frac{a^2 (a+b x) \text{Si}(a+b x)^2}{3 b^3}-\frac{a^2 \text{Si}(2 a+2 b x)}{b^3}+\frac{2 a^2 \text{Si}(a+b x) \cos (a+b x)}{3 b^3}+\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{a x (a+b x) \text{Si}(a+b x)^2}{3 b^2}+\frac{2 \text{Si}(2 a+2 b x)}{3 b^3}+\frac{2 a \text{Si}(a+b x) \sin (a+b x)}{3 b^3}-\frac{4 x \text{Si}(a+b x) \sin (a+b x)}{3 b^2}-\frac{2 a x \text{Si}(a+b x) \cos (a+b x)}{3 b^2}-\frac{4 \text{Si}(a+b x) \cos (a+b x)}{3 b^3}-\frac{a \log (a+b x)}{b^3}-\frac{\sin (2 a+2 b x)}{12 b^3}-\frac{a \cos (2 a+2 b x)}{3 b^3}+\frac{x \cos (2 a+2 b x)}{6 b^2}-\frac{2 \sin (a+b x) \cos (a+b x)}{3 b^3}+\frac{x^2 (a+b x) \text{Si}(a+b x)^2}{3 b}+\frac{2 x^2 \text{Si}(a+b x) \cos (a+b x)}{3 b}+\frac{2 x}{3 b^2}","\frac{a^2 (a+b x) \text{Si}(a+b x)^2}{3 b^3}-\frac{a^2 \text{Si}(2 a+2 b x)}{b^3}+\frac{2 a^2 \text{Si}(a+b x) \cos (a+b x)}{3 b^3}+\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{a x (a+b x) \text{Si}(a+b x)^2}{3 b^2}+\frac{2 \text{Si}(2 a+2 b x)}{3 b^3}+\frac{2 a \text{Si}(a+b x) \sin (a+b x)}{3 b^3}-\frac{4 x \text{Si}(a+b x) \sin (a+b x)}{3 b^2}-\frac{2 a x \text{Si}(a+b x) \cos (a+b x)}{3 b^2}-\frac{4 \text{Si}(a+b x) \cos (a+b x)}{3 b^3}-\frac{a \log (a+b x)}{b^3}-\frac{\sin (2 a+2 b x)}{12 b^3}-\frac{a \cos (2 a+2 b x)}{3 b^3}+\frac{x \cos (2 a+2 b x)}{6 b^2}-\frac{2 \sin (a+b x) \cos (a+b x)}{3 b^3}+\frac{x^2 (a+b x) \text{Si}(a+b x)^2}{3 b}+\frac{2 x^2 \text{Si}(a+b x) \cos (a+b x)}{3 b}+\frac{2 x}{3 b^2}",1,"(2*x)/(3*b^2) - (a*Cos[2*a + 2*b*x])/(3*b^3) + (x*Cos[2*a + 2*b*x])/(6*b^2) + (a*CosIntegral[2*a + 2*b*x])/b^3 - (a*Log[a + b*x])/b^3 - (2*Cos[a + b*x]*Sin[a + b*x])/(3*b^3) - Sin[2*a + 2*b*x]/(12*b^3) - (4*Cos[a + b*x]*SinIntegral[a + b*x])/(3*b^3) + (2*a^2*Cos[a + b*x]*SinIntegral[a + b*x])/(3*b^3) - (2*a*x*Cos[a + b*x]*SinIntegral[a + b*x])/(3*b^2) + (2*x^2*Cos[a + b*x]*SinIntegral[a + b*x])/(3*b) + (2*a*Sin[a + b*x]*SinIntegral[a + b*x])/(3*b^3) - (4*x*Sin[a + b*x]*SinIntegral[a + b*x])/(3*b^2) + (a^2*(a + b*x)*SinIntegral[a + b*x]^2)/(3*b^3) - (a*x*(a + b*x)*SinIntegral[a + b*x]^2)/(3*b^2) + (x^2*(a + b*x)*SinIntegral[a + b*x]^2)/(3*b) + (2*SinIntegral[2*a + 2*b*x])/(3*b^3) - (a^2*SinIntegral[2*a + 2*b*x])/b^3","A",39,19,12,1.583,1,"{6509, 6513, 4573, 6741, 6742, 2638, 3296, 2637, 3299, 6519, 2635, 8, 3312, 3302, 6511, 4406, 12, 6517, 6505}"
27,1,154,0,0.333002,"\int x \text{Si}(a+b x)^2 \, dx","Int[x*SinIntegral[a + b*x]^2,x]","-\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{a (a+b x) \text{Si}(a+b x)^2}{2 b^2}+\frac{a \text{Si}(2 a+2 b x)}{b^2}-\frac{\text{Si}(a+b x) \sin (a+b x)}{b^2}-\frac{a \text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{\log (a+b x)}{2 b^2}+\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{Si}(a+b x)^2}{2 b}+\frac{x \text{Si}(a+b x) \cos (a+b x)}{b}","-\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{a (a+b x) \text{Si}(a+b x)^2}{2 b^2}+\frac{a \text{Si}(2 a+2 b x)}{b^2}-\frac{\text{Si}(a+b x) \sin (a+b x)}{b^2}-\frac{a \text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{\log (a+b x)}{2 b^2}+\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{Si}(a+b x)^2}{2 b}+\frac{x \text{Si}(a+b x) \cos (a+b x)}{b}",1,"Cos[2*a + 2*b*x]/(4*b^2) - CosIntegral[2*a + 2*b*x]/(2*b^2) + Log[a + b*x]/(2*b^2) - (a*Cos[a + b*x]*SinIntegral[a + b*x])/b^2 + (x*Cos[a + b*x]*SinIntegral[a + b*x])/b - (Sin[a + b*x]*SinIntegral[a + b*x])/b^2 - (a*(a + b*x)*SinIntegral[a + b*x]^2)/(2*b^2) + (x*(a + b*x)*SinIntegral[a + b*x]^2)/(2*b) + (a*SinIntegral[2*a + 2*b*x])/b^2","A",17,14,10,1.400,1,"{6509, 6513, 4573, 6741, 6742, 2638, 3299, 6517, 3312, 3302, 6505, 6511, 4406, 12}"
28,1,49,0,0.0646836,"\int \text{Si}(a+b x)^2 \, dx","Int[SinIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{Si}(a+b x)^2}{b}-\frac{\text{Si}(2 a+2 b x)}{b}+\frac{2 \text{Si}(a+b x) \cos (a+b x)}{b}","\frac{(a+b x) \text{Si}(a+b x)^2}{b}-\frac{\text{Si}(2 a+2 b x)}{b}+\frac{2 \text{Si}(a+b x) \cos (a+b x)}{b}",1,"(2*Cos[a + b*x]*SinIntegral[a + b*x])/b + ((a + b*x)*SinIntegral[a + b*x]^2)/b - SinIntegral[2*a + 2*b*x]/b","A",5,5,8,0.6250,1,"{6505, 6511, 4406, 12, 3299}"
29,0,0,0,0.0341303,"\int \frac{\text{Si}(a+b x)^2}{x} \, dx","Int[SinIntegral[a + b*x]^2/x,x]","\int \frac{\text{Si}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x)^2}{x},x\right)",0,"Defer[Int][SinIntegral[a + b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
30,0,0,0,0.0338769,"\int \frac{\text{Si}(a+b x)^2}{x^2} \, dx","Int[SinIntegral[a + b*x]^2/x^2,x]","\int \frac{\text{Si}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x)^2}{x^2},x\right)",0,"Defer[Int][SinIntegral[a + b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
31,0,0,0,0.0344856,"\int \frac{\text{Si}(a+b x)^2}{x^3} \, dx","Int[SinIntegral[a + b*x]^2/x^3,x]","\int \frac{\text{Si}(a+b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x)^2}{x^3},x\right)",0,"Defer[Int][SinIntegral[a + b*x]^2/x^3, x]","A",0,0,0,0,-1,"{}"
32,1,137,0,0.2763155,"\int x^2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*SinIntegral[d*(a + b*Log[c*x^n])],x]","-\frac{1}{6} i x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{6} i x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{3} x^3 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","-\frac{1}{6} i x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{6} i x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{3} x^3 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"((-I/6)*x^3*ExpIntegralEi[((3 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((3*a)/(b*n))*(c*x^n)^(3/n)) + ((I/6)*x^3*ExpIntegralEi[((3 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((3*a)/(b*n))*(c*x^n)^(3/n)) + (x^3*SinIntegral[d*(a + b*Log[c*x^n])])/3","A",7,5,17,0.2941,1,"{6526, 12, 4497, 2310, 2178}"
33,1,137,0,0.263112,"\int x \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*SinIntegral[d*(a + b*Log[c*x^n])],x]","-\frac{1}{4} i x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{4} i x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{2} x^2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","-\frac{1}{4} i x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{4} i x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{2} x^2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"((-I/4)*x^2*ExpIntegralEi[((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((2*a)/(b*n))*(c*x^n)^(2/n)) + ((I/4)*x^2*ExpIntegralEi[((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((2*a)/(b*n))*(c*x^n)^(2/n)) + (x^2*SinIntegral[d*(a + b*Log[c*x^n])])/2","A",7,5,15,0.3333,1,"{6526, 12, 4497, 2310, 2178}"
34,1,128,0,0.2380012,"\int \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[SinIntegral[d*(a + b*Log[c*x^n])],x]","-\frac{1}{2} i x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{2} i x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+x \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","-\frac{1}{2} i x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{2} i x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+x \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"((-I/2)*x*ExpIntegralEi[((1 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^(a/(b*n))*(c*x^n)^n^(-1)) + ((I/2)*x*ExpIntegralEi[((1 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^(a/(b*n))*(c*x^n)^n^(-1)) + x*SinIntegral[d*(a + b*Log[c*x^n])]","A",7,5,13,0.3846,1,"{6523, 12, 4495, 2310, 2178}"
35,1,54,0,0.0309975,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[SinIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}+\frac{\cos \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}+\frac{\cos \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}",1,"Cos[d*(a + b*Log[c*x^n])]/(b*d*n) + ((a + b*Log[c*x^n])*SinIntegral[d*(a + b*Log[c*x^n])])/(b*n)","A",3,1,17,0.05882,1,"{6499}"
36,1,131,0,0.2539599,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[SinIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","-\frac{i e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}+\frac{i e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}-\frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","-\frac{i e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}+\frac{i e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}-\frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"((-I/2)*E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-(((1 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/x + ((I/2)*E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-(((1 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/x - SinIntegral[d*(a + b*Log[c*x^n])]/x","A",7,5,17,0.2941,1,"{6526, 12, 4497, 2310, 2178}"
37,1,139,0,0.2514418,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[SinIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","-\frac{i e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}+\frac{i e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}-\frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","-\frac{i e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}+\frac{i e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}-\frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"((-I/4)*E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[-(((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/x^2 + ((I/4)*E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[-(((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/x^2 - SinIntegral[d*(a + b*Log[c*x^n])]/(2*x^2)","A",7,5,17,0.2941,1,"{6526, 12, 4497, 2310, 2178}"
38,1,176,0,0.3147872,"\int (e x)^m \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*SinIntegral[d*(a + b*Log[c*x^n])],x]","-\frac{i x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}+\frac{i x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}+\frac{(e x)^{m+1} \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}","-\frac{i x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}+\frac{i x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}+\frac{(e x)^{m+1} \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}",1,"((-I/2)*x*(e*x)^m*ExpIntegralEi[((1 + m - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n)) + ((I/2)*x*(e*x)^m*ExpIntegralEi[((1 + m + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n)) + ((e*x)^(1 + m)*SinIntegral[d*(a + b*Log[c*x^n])])/(e*(1 + m))","A",7,5,19,0.2632,1,"{6526, 12, 4497, 2310, 2178}"
39,1,96,0,0.2034677,"\int \frac{\sin (b x) \text{Si}(b x)}{x^3} \, dx","Int[(Sin[b*x]*SinIntegral[b*x])/x^3,x]","b^2 \text{CosIntegral}(2 b x)-\frac{1}{4} b^2 \text{Si}(b x)^2-\frac{\text{Si}(b x) \sin (b x)}{2 x^2}-\frac{b \text{Si}(b x) \cos (b x)}{2 x}-\frac{\sin ^2(b x)}{4 x^2}-\frac{b \sin (2 b x)}{4 x}-\frac{b \sin (b x) \cos (b x)}{2 x}","b^2 \text{CosIntegral}(2 b x)-\frac{1}{4} b^2 \text{Si}(b x)^2-\frac{\text{Si}(b x) \sin (b x)}{2 x^2}-\frac{b \text{Si}(b x) \cos (b x)}{2 x}-\frac{\sin ^2(b x)}{4 x^2}-\frac{b \sin (2 b x)}{4 x}-\frac{b \sin (b x) \cos (b x)}{2 x}",1,"b^2*CosIntegral[2*b*x] - (b*Cos[b*x]*Sin[b*x])/(2*x) - Sin[b*x]^2/(4*x^2) - (b*Sin[2*b*x])/(4*x) - (b*Cos[b*x]*SinIntegral[b*x])/(2*x) - (Sin[b*x]*SinIntegral[b*x])/(2*x^2) - (b^2*SinIntegral[b*x]^2)/4","A",14,10,12,0.8333,1,"{6515, 6521, 6686, 12, 4406, 3297, 3302, 3314, 29, 3312}"
40,0,0,0,0.1516367,"\int \frac{\sin (b x) \text{Si}(b x)}{x^2} \, dx","Int[(Sin[b*x]*SinIntegral[b*x])/x^2,x]","\int \frac{\sin (b x) \text{Si}(b x)}{x^2} \, dx","b \text{Int}\left(\frac{\text{Si}(b x) \cos (b x)}{x},x\right)+b \text{Si}(2 b x)-\frac{\text{Si}(b x) \sin (b x)}{x}-\frac{\sin ^2(b x)}{x}",0,"-(Sin[b*x]^2/x) - (Sin[b*x]*SinIntegral[b*x])/x + b*SinIntegral[2*b*x] + b*Defer[Int][(Cos[b*x]*SinIntegral[b*x])/x, x]","A",0,0,0,0,-1,"{}"
41,1,10,0,0.020708,"\int \frac{\sin (b x) \text{Si}(b x)}{x} \, dx","Int[(Sin[b*x]*SinIntegral[b*x])/x,x]","\frac{\text{Si}(b x)^2}{2}","\frac{\text{Si}(b x)^2}{2}",1,"SinIntegral[b*x]^2/2","A",1,1,12,0.08333,1,"{6686}"
42,1,26,0,0.0461413,"\int \sin (b x) \text{Si}(b x) \, dx","Int[Sin[b*x]*SinIntegral[b*x],x]","\frac{\text{Si}(2 b x)}{2 b}-\frac{\text{Si}(b x) \cos (b x)}{b}","\frac{\text{Si}(2 b x)}{2 b}-\frac{\text{Si}(b x) \cos (b x)}{b}",1,"-((Cos[b*x]*SinIntegral[b*x])/b) + SinIntegral[2*b*x]/(2*b)","A",5,4,9,0.4444,1,"{6511, 12, 4406, 3299}"
43,1,61,0,0.0812445,"\int x \sin (b x) \text{Si}(b x) \, dx","Int[x*Sin[b*x]*SinIntegral[b*x],x]","\frac{\text{CosIntegral}(2 b x)}{2 b^2}+\frac{\text{Si}(b x) \sin (b x)}{b^2}-\frac{\log (x)}{2 b^2}+\frac{\sin ^2(b x)}{2 b^2}-\frac{x \text{Si}(b x) \cos (b x)}{b}","\frac{\text{CosIntegral}(2 b x)}{2 b^2}+\frac{\text{Si}(b x) \sin (b x)}{b^2}-\frac{\log (x)}{2 b^2}+\frac{\sin ^2(b x)}{2 b^2}-\frac{x \text{Si}(b x) \cos (b x)}{b}",1,"CosIntegral[2*b*x]/(2*b^2) - Log[x]/(2*b^2) + Sin[b*x]^2/(2*b^2) - (x*Cos[b*x]*SinIntegral[b*x])/b + (Sin[b*x]*SinIntegral[b*x])/b^2","A",9,7,10,0.7000,1,"{6513, 12, 2564, 30, 6517, 3312, 3302}"
44,1,91,0,0.1110956,"\int x^2 \sin (b x) \text{Si}(b x) \, dx","Int[x^2*Sin[b*x]*SinIntegral[b*x],x]","-\frac{\text{Si}(2 b x)}{b^3}+\frac{2 x \text{Si}(b x) \sin (b x)}{b^2}+\frac{2 \text{Si}(b x) \cos (b x)}{b^3}-\frac{5 x}{4 b^2}+\frac{x \sin ^2(b x)}{2 b^2}+\frac{5 \sin (b x) \cos (b x)}{4 b^3}-\frac{x^2 \text{Si}(b x) \cos (b x)}{b}","-\frac{\text{Si}(2 b x)}{b^3}+\frac{2 x \text{Si}(b x) \sin (b x)}{b^2}+\frac{2 \text{Si}(b x) \cos (b x)}{b^3}-\frac{5 x}{4 b^2}+\frac{x \sin ^2(b x)}{2 b^2}+\frac{5 \sin (b x) \cos (b x)}{4 b^3}-\frac{x^2 \text{Si}(b x) \cos (b x)}{b}",1,"(-5*x)/(4*b^2) + (5*Cos[b*x]*Sin[b*x])/(4*b^3) + (x*Sin[b*x]^2)/(2*b^2) + (2*Cos[b*x]*SinIntegral[b*x])/b^3 - (x^2*Cos[b*x]*SinIntegral[b*x])/b + (2*x*Sin[b*x]*SinIntegral[b*x])/b^2 - SinIntegral[2*b*x]/b^3","A",14,9,12,0.7500,1,"{6513, 12, 3443, 2635, 8, 6519, 6511, 4406, 3299}"
45,1,126,0,0.1935177,"\int x^3 \sin (b x) \text{Si}(b x) \, dx","Int[x^3*Sin[b*x]*SinIntegral[b*x],x]","-\frac{3 \text{CosIntegral}(2 b x)}{b^4}+\frac{3 x^2 \text{Si}(b x) \sin (b x)}{b^2}-\frac{6 \text{Si}(b x) \sin (b x)}{b^4}+\frac{6 x \text{Si}(b x) \cos (b x)}{b^3}-\frac{x^2}{b^2}+\frac{x^2 \sin ^2(b x)}{2 b^2}+\frac{3 \log (x)}{b^4}-\frac{4 \sin ^2(b x)}{b^4}+\frac{2 x \sin (b x) \cos (b x)}{b^3}-\frac{x^3 \text{Si}(b x) \cos (b x)}{b}","-\frac{3 \text{CosIntegral}(2 b x)}{b^4}+\frac{3 x^2 \text{Si}(b x) \sin (b x)}{b^2}-\frac{6 \text{Si}(b x) \sin (b x)}{b^4}+\frac{6 x \text{Si}(b x) \cos (b x)}{b^3}-\frac{x^2}{b^2}+\frac{x^2 \sin ^2(b x)}{2 b^2}+\frac{3 \log (x)}{b^4}-\frac{4 \sin ^2(b x)}{b^4}+\frac{2 x \sin (b x) \cos (b x)}{b^3}-\frac{x^3 \text{Si}(b x) \cos (b x)}{b}",1,"-(x^2/b^2) - (3*CosIntegral[2*b*x])/b^4 + (3*Log[x])/b^4 + (2*x*Cos[b*x]*Sin[b*x])/b^3 - (4*Sin[b*x]^2)/b^4 + (x^2*Sin[b*x]^2)/(2*b^2) + (6*x*Cos[b*x]*SinIntegral[b*x])/b^3 - (x^3*Cos[b*x]*SinIntegral[b*x])/b - (6*Sin[b*x]*SinIntegral[b*x])/b^4 + (3*x^2*Sin[b*x]*SinIntegral[b*x])/b^2","A",18,10,12,0.8333,1,"{6513, 12, 3443, 3310, 30, 6519, 2564, 6517, 3312, 3302}"
46,0,0,0,0.1882216,"\int \frac{\cos (b x) \text{Si}(b x)}{x^3} \, dx","Int[(Cos[b*x]*SinIntegral[b*x])/x^3,x]","\int \frac{\cos (b x) \text{Si}(b x)}{x^3} \, dx","-\frac{1}{2} b^2 \text{Int}\left(\frac{\text{Si}(b x) \cos (b x)}{x},x\right)+b^2 (-\text{Si}(2 b x))-\frac{\text{Si}(b x) \cos (b x)}{2 x^2}+\frac{b \text{Si}(b x) \sin (b x)}{2 x}-\frac{\sin (2 b x)}{8 x^2}+\frac{b \sin ^2(b x)}{2 x}-\frac{b \cos (2 b x)}{4 x}",0,"-(b*Cos[2*b*x])/(4*x) + (b*Sin[b*x]^2)/(2*x) - Sin[2*b*x]/(8*x^2) - (Cos[b*x]*SinIntegral[b*x])/(2*x^2) + (b*Sin[b*x]*SinIntegral[b*x])/(2*x) - b^2*SinIntegral[2*b*x] - (b^2*Defer[Int][(Cos[b*x]*SinIntegral[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
47,1,44,0,0.0946792,"\int \frac{\cos (b x) \text{Si}(b x)}{x^2} \, dx","Int[(Cos[b*x]*SinIntegral[b*x])/x^2,x]","b \text{CosIntegral}(2 b x)-\frac{1}{2} b \text{Si}(b x)^2-\frac{\text{Si}(b x) \cos (b x)}{x}-\frac{\sin (2 b x)}{2 x}","b \text{CosIntegral}(2 b x)-\frac{1}{2} b \text{Si}(b x)^2-\frac{\text{Si}(b x) \cos (b x)}{x}-\frac{\sin (2 b x)}{2 x}",1,"b*CosIntegral[2*b*x] - Sin[2*b*x]/(2*x) - (Cos[b*x]*SinIntegral[b*x])/x - (b*SinIntegral[b*x]^2)/2","A",7,6,12,0.5000,1,"{6521, 6686, 12, 4406, 3297, 3302}"
48,0,0,0,0.0258647,"\int \frac{\cos (b x) \text{Si}(b x)}{x} \, dx","Int[(Cos[b*x]*SinIntegral[b*x])/x,x]","\int \frac{\cos (b x) \text{Si}(b x)}{x} \, dx","\text{Int}\left(\frac{\text{Si}(b x) \cos (b x)}{x},x\right)",0,"Defer[Int][(Cos[b*x]*SinIntegral[b*x])/x, x]","A",0,0,0,0,-1,"{}"
49,1,34,0,0.0577979,"\int \cos (b x) \text{Si}(b x) \, dx","Int[Cos[b*x]*SinIntegral[b*x],x]","\frac{\text{CosIntegral}(2 b x)}{2 b}+\frac{\text{Si}(b x) \sin (b x)}{b}-\frac{\log (x)}{2 b}","\frac{\text{CosIntegral}(2 b x)}{2 b}+\frac{\text{Si}(b x) \sin (b x)}{b}-\frac{\log (x)}{2 b}",1,"CosIntegral[2*b*x]/(2*b) - Log[x]/(2*b) + (Sin[b*x]*SinIntegral[b*x])/b","A",5,4,9,0.4444,1,"{6517, 12, 3312, 3302}"
50,1,61,0,0.0659373,"\int x \cos (b x) \text{Si}(b x) \, dx","Int[x*Cos[b*x]*SinIntegral[b*x],x]","-\frac{\text{Si}(2 b x)}{2 b^2}+\frac{\text{Si}(b x) \cos (b x)}{b^2}+\frac{\sin (b x) \cos (b x)}{2 b^2}+\frac{x \text{Si}(b x) \sin (b x)}{b}-\frac{x}{2 b}","-\frac{\text{Si}(2 b x)}{2 b^2}+\frac{\text{Si}(b x) \cos (b x)}{b^2}+\frac{\sin (b x) \cos (b x)}{2 b^2}+\frac{x \text{Si}(b x) \sin (b x)}{b}-\frac{x}{2 b}",1,"-x/(2*b) + (Cos[b*x]*Sin[b*x])/(2*b^2) + (Cos[b*x]*SinIntegral[b*x])/b^2 + (x*Sin[b*x]*SinIntegral[b*x])/b - SinIntegral[2*b*x]/(2*b^2)","A",9,7,10,0.7000,1,"{6519, 12, 2635, 8, 6511, 4406, 3299}"
51,1,98,0,0.1227177,"\int x^2 \cos (b x) \text{Si}(b x) \, dx","Int[x^2*Cos[b*x]*SinIntegral[b*x],x]","-\frac{\text{CosIntegral}(2 b x)}{b^3}-\frac{2 \text{Si}(b x) \sin (b x)}{b^3}+\frac{2 x \text{Si}(b x) \cos (b x)}{b^2}+\frac{\log (x)}{b^3}-\frac{5 \sin ^2(b x)}{4 b^3}+\frac{x \sin (b x) \cos (b x)}{2 b^2}+\frac{x^2 \text{Si}(b x) \sin (b x)}{b}-\frac{x^2}{4 b}","-\frac{\text{CosIntegral}(2 b x)}{b^3}-\frac{2 \text{Si}(b x) \sin (b x)}{b^3}+\frac{2 x \text{Si}(b x) \cos (b x)}{b^2}+\frac{\log (x)}{b^3}-\frac{5 \sin ^2(b x)}{4 b^3}+\frac{x \sin (b x) \cos (b x)}{2 b^2}+\frac{x^2 \text{Si}(b x) \sin (b x)}{b}-\frac{x^2}{4 b}",1,"-x^2/(4*b) - CosIntegral[2*b*x]/b^3 + Log[x]/b^3 + (x*Cos[b*x]*Sin[b*x])/(2*b^2) - (5*Sin[b*x]^2)/(4*b^3) + (2*x*Cos[b*x]*SinIntegral[b*x])/b^2 - (2*Sin[b*x]*SinIntegral[b*x])/b^3 + (x^2*Sin[b*x]*SinIntegral[b*x])/b","A",13,9,12,0.7500,1,"{6519, 12, 3310, 30, 6513, 2564, 6517, 3312, 3302}"
52,1,128,0,0.1791836,"\int x^3 \cos (b x) \text{Si}(b x) \, dx","Int[x^3*Cos[b*x]*SinIntegral[b*x],x]","\frac{3 x^2 \text{Si}(b x) \cos (b x)}{b^2}+\frac{3 \text{Si}(2 b x)}{b^4}-\frac{6 x \text{Si}(b x) \sin (b x)}{b^3}-\frac{6 \text{Si}(b x) \cos (b x)}{b^4}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}+\frac{4 x}{b^3}-\frac{2 x \sin ^2(b x)}{b^3}-\frac{4 \sin (b x) \cos (b x)}{b^4}+\frac{x^3 \text{Si}(b x) \sin (b x)}{b}-\frac{x^3}{6 b}","\frac{3 x^2 \text{Si}(b x) \cos (b x)}{b^2}+\frac{3 \text{Si}(2 b x)}{b^4}-\frac{6 x \text{Si}(b x) \sin (b x)}{b^3}-\frac{6 \text{Si}(b x) \cos (b x)}{b^4}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}+\frac{4 x}{b^3}-\frac{2 x \sin ^2(b x)}{b^3}-\frac{4 \sin (b x) \cos (b x)}{b^4}+\frac{x^3 \text{Si}(b x) \sin (b x)}{b}-\frac{x^3}{6 b}",1,"(4*x)/b^3 - x^3/(6*b) - (4*Cos[b*x]*Sin[b*x])/b^4 + (x^2*Cos[b*x]*Sin[b*x])/(2*b^2) - (2*x*Sin[b*x]^2)/b^3 - (6*Cos[b*x]*SinIntegral[b*x])/b^4 + (3*x^2*Cos[b*x]*SinIntegral[b*x])/b^2 - (6*x*Sin[b*x]*SinIntegral[b*x])/b^3 + (x^3*Sin[b*x]*SinIntegral[b*x])/b + (3*SinIntegral[2*b*x])/b^4","A",20,11,12,0.9167,1,"{6519, 12, 3311, 30, 2635, 8, 6513, 3443, 6511, 4406, 3299}"
53,1,29,0,0.0550338,"\int \sin (5 x) \text{Si}(2 x) \, dx","Int[Sin[5*x]*SinIntegral[2*x],x]","-\frac{\text{Si}(3 x)}{10}+\frac{\text{Si}(7 x)}{10}-\frac{1}{5} \text{Si}(2 x) \cos (5 x)","-\frac{\text{Si}(3 x)}{10}+\frac{\text{Si}(7 x)}{10}-\frac{1}{5} \text{Si}(2 x) \cos (5 x)",1,"-(Cos[5*x]*SinIntegral[2*x])/5 - SinIntegral[3*x]/10 + SinIntegral[7*x]/10","A",6,4,9,0.4444,1,"{6511, 12, 4430, 3299}"
54,1,29,0,0.0556862,"\int \cos (5 x) \text{Si}(2 x) \, dx","Int[Cos[5*x]*SinIntegral[2*x],x]","-\frac{1}{10} \text{CosIntegral}(3 x)+\frac{1}{10} \text{CosIntegral}(7 x)+\frac{1}{5} \text{Si}(2 x) \sin (5 x)","-\frac{1}{10} \text{CosIntegral}(3 x)+\frac{1}{10} \text{CosIntegral}(7 x)+\frac{1}{5} \text{Si}(2 x) \sin (5 x)",1,"-CosIntegral[3*x]/10 + CosIntegral[7*x]/10 + (Sin[5*x]*SinIntegral[2*x])/5","A",6,4,9,0.4444,1,"{6517, 12, 4428, 3302}"
55,1,187,0,0.7081929,"\int x^2 \sin (a+b x) \text{Si}(a+b x) \, dx","Int[x^2*Sin[a + b*x]*SinIntegral[a + b*x],x]","\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}-\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{\text{Si}(2 a+2 b x)}{b^3}+\frac{2 x \text{Si}(a+b x) \sin (a+b x)}{b^2}+\frac{2 \text{Si}(a+b x) \cos (a+b x)}{b^3}+\frac{a \log (a+b x)}{b^3}+\frac{\sin (2 a+2 b x)}{8 b^3}+\frac{a \cos (2 a+2 b x)}{4 b^3}-\frac{x \cos (2 a+2 b x)}{4 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{b^3}-\frac{x^2 \text{Si}(a+b x) \cos (a+b x)}{b}-\frac{x}{b^2}","\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}-\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{\text{Si}(2 a+2 b x)}{b^3}+\frac{2 x \text{Si}(a+b x) \sin (a+b x)}{b^2}+\frac{2 \text{Si}(a+b x) \cos (a+b x)}{b^3}+\frac{a \log (a+b x)}{b^3}+\frac{\sin (2 a+2 b x)}{8 b^3}+\frac{a \cos (2 a+2 b x)}{4 b^3}-\frac{x \cos (2 a+2 b x)}{4 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{b^3}-\frac{x^2 \text{Si}(a+b x) \cos (a+b x)}{b}-\frac{x}{b^2}",1,"-(x/b^2) + (a*Cos[2*a + 2*b*x])/(4*b^3) - (x*Cos[2*a + 2*b*x])/(4*b^2) - (a*CosIntegral[2*a + 2*b*x])/b^3 + (a*Log[a + b*x])/b^3 + (Cos[a + b*x]*Sin[a + b*x])/b^3 + Sin[2*a + 2*b*x]/(8*b^3) + (2*Cos[a + b*x]*SinIntegral[a + b*x])/b^3 - (x^2*Cos[a + b*x]*SinIntegral[a + b*x])/b + (2*x*Sin[a + b*x]*SinIntegral[a + b*x])/b^2 - SinIntegral[2*a + 2*b*x]/b^3 + (a^2*SinIntegral[2*a + 2*b*x])/(2*b^3)","A",21,16,16,1.000,1,"{6513, 4573, 6741, 6742, 2638, 3296, 2637, 3299, 6519, 2635, 8, 3312, 3302, 6511, 4406, 12}"
56,1,97,0,0.2746993,"\int x \sin (a+b x) \text{Si}(a+b x) \, dx","Int[x*Sin[a + b*x]*SinIntegral[a + b*x],x]","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{a \text{Si}(2 a+2 b x)}{2 b^2}+\frac{\text{Si}(a+b x) \sin (a+b x)}{b^2}-\frac{\log (a+b x)}{2 b^2}-\frac{\cos (2 a+2 b x)}{4 b^2}-\frac{x \text{Si}(a+b x) \cos (a+b x)}{b}","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{a \text{Si}(2 a+2 b x)}{2 b^2}+\frac{\text{Si}(a+b x) \sin (a+b x)}{b^2}-\frac{\log (a+b x)}{2 b^2}-\frac{\cos (2 a+2 b x)}{4 b^2}-\frac{x \text{Si}(a+b x) \cos (a+b x)}{b}",1,"-Cos[2*a + 2*b*x]/(4*b^2) + CosIntegral[2*a + 2*b*x]/(2*b^2) - Log[a + b*x]/(2*b^2) - (x*Cos[a + b*x]*SinIntegral[a + b*x])/b + (Sin[a + b*x]*SinIntegral[a + b*x])/b^2 - (a*SinIntegral[2*a + 2*b*x])/(2*b^2)","A",11,9,14,0.6429,1,"{6513, 4573, 6741, 6742, 2638, 3299, 6517, 3312, 3302}"
57,1,34,0,0.0541703,"\int \sin (a+b x) \text{Si}(a+b x) \, dx","Int[Sin[a + b*x]*SinIntegral[a + b*x],x]","\frac{\text{Si}(2 a+2 b x)}{2 b}-\frac{\text{Si}(a+b x) \cos (a+b x)}{b}","\frac{\text{Si}(2 a+2 b x)}{2 b}-\frac{\text{Si}(a+b x) \cos (a+b x)}{b}",1,"-((Cos[a + b*x]*SinIntegral[a + b*x])/b) + SinIntegral[2*a + 2*b*x]/(2*b)","A",4,4,13,0.3077,1,"{6511, 4406, 12, 3299}"
58,0,0,0,0.1229665,"\int \frac{\sin (a+b x) \text{Si}(a+b x)}{x} \, dx","Int[(Sin[a + b*x]*SinIntegral[a + b*x])/x,x]","\int \frac{\sin (a+b x) \text{Si}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x) \sin (a+b x)}{x},x\right)",0,"Defer[Int][(Sin[a + b*x]*SinIntegral[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
59,1,218,0,0.6597209,"\int x^2 \cos (a+b x) \text{Si}(a+b x) \, dx","Int[x^2*Cos[a + b*x]*SinIntegral[a + b*x],x]","\frac{a^2 \text{CosIntegral}(2 a+2 b x)}{2 b^3}-\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{a \text{Si}(2 a+2 b x)}{b^3}-\frac{2 \text{Si}(a+b x) \sin (a+b x)}{b^3}+\frac{2 x \text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{a x}{2 b^2}+\frac{\log (a+b x)}{b^3}-\frac{\sin ^2(a+b x)}{4 b^3}+\frac{\cos (2 a+2 b x)}{2 b^3}-\frac{a \sin (a+b x) \cos (a+b x)}{2 b^3}+\frac{x \sin (a+b x) \cos (a+b x)}{2 b^2}+\frac{x^2 \text{Si}(a+b x) \sin (a+b x)}{b}-\frac{x^2}{4 b}","\frac{a^2 \text{CosIntegral}(2 a+2 b x)}{2 b^3}-\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{a \text{Si}(2 a+2 b x)}{b^3}-\frac{2 \text{Si}(a+b x) \sin (a+b x)}{b^3}+\frac{2 x \text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{a x}{2 b^2}+\frac{\log (a+b x)}{b^3}-\frac{\sin ^2(a+b x)}{4 b^3}+\frac{\cos (2 a+2 b x)}{2 b^3}-\frac{a \sin (a+b x) \cos (a+b x)}{2 b^3}+\frac{x \sin (a+b x) \cos (a+b x)}{2 b^2}+\frac{x^2 \text{Si}(a+b x) \sin (a+b x)}{b}-\frac{x^2}{4 b}",1,"(a*x)/(2*b^2) - x^2/(4*b) + Cos[2*a + 2*b*x]/(2*b^3) - CosIntegral[2*a + 2*b*x]/b^3 + (a^2*CosIntegral[2*a + 2*b*x])/(2*b^3) + Log[a + b*x]/b^3 - (a^2*Log[a + b*x])/(2*b^3) - (a*Cos[a + b*x]*Sin[a + b*x])/(2*b^3) + (x*Cos[a + b*x]*Sin[a + b*x])/(2*b^2) - Sin[a + b*x]^2/(4*b^3) + (2*x*Cos[a + b*x]*SinIntegral[a + b*x])/b^2 - (2*Sin[a + b*x]*SinIntegral[a + b*x])/b^3 + (x^2*Sin[a + b*x]*SinIntegral[a + b*x])/b + (a*SinIntegral[2*a + 2*b*x])/b^3","A",21,14,16,0.8750,1,"{6519, 6742, 2635, 8, 3310, 30, 3312, 3302, 6513, 4573, 6741, 2638, 3299, 6517}"
60,1,108,0,0.2316508,"\int x \cos (a+b x) \text{Si}(a+b x) \, dx","Int[x*Cos[a + b*x]*SinIntegral[a + b*x],x]","-\frac{a \text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{\text{Si}(2 a+2 b x)}{2 b^2}+\frac{\text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{a \log (a+b x)}{2 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{2 b^2}+\frac{x \text{Si}(a+b x) \sin (a+b x)}{b}-\frac{x}{2 b}","-\frac{a \text{CosIntegral}(2 a+2 b x)}{2 b^2}-\frac{\text{Si}(2 a+2 b x)}{2 b^2}+\frac{\text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{a \log (a+b x)}{2 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{2 b^2}+\frac{x \text{Si}(a+b x) \sin (a+b x)}{b}-\frac{x}{2 b}",1,"-x/(2*b) - (a*CosIntegral[2*a + 2*b*x])/(2*b^2) + (a*Log[a + b*x])/(2*b^2) + (Cos[a + b*x]*Sin[a + b*x])/(2*b^2) + (Cos[a + b*x]*SinIntegral[a + b*x])/b^2 + (x*Sin[a + b*x]*SinIntegral[a + b*x])/b - SinIntegral[2*a + 2*b*x]/(2*b^2)","A",12,10,14,0.7143,1,"{6519, 6742, 2635, 8, 3312, 3302, 6511, 4406, 12, 3299}"
61,1,46,0,0.074803,"\int \cos (a+b x) \text{Si}(a+b x) \, dx","Int[Cos[a + b*x]*SinIntegral[a + b*x],x]","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b}+\frac{\text{Si}(a+b x) \sin (a+b x)}{b}-\frac{\log (a+b x)}{2 b}","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b}+\frac{\text{Si}(a+b x) \sin (a+b x)}{b}-\frac{\log (a+b x)}{2 b}",1,"CosIntegral[2*a + 2*b*x]/(2*b) - Log[a + b*x]/(2*b) + (Sin[a + b*x]*SinIntegral[a + b*x])/b","A",4,3,13,0.2308,1,"{6517, 3312, 3302}"
62,0,0,0,0.1249829,"\int \frac{\cos (a+b x) \text{Si}(a+b x)}{x} \, dx","Int[(Cos[a + b*x]*SinIntegral[a + b*x])/x,x]","\int \frac{\cos (a+b x) \text{Si}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Si}(a+b x) \cos (a+b x)}{x},x\right)",0,"Defer[Int][(Cos[a + b*x]*SinIntegral[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
63,1,371,0,0.9201278,"\int x \sin (a+b x) \text{Si}(c+d x) \, dx","Int[x*Sin[a + b*x]*SinIntegral[c + d*x],x]","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sin (a+b x) \text{Si}(c+d x)}{b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}-\frac{x \cos (a+b x) \text{Si}(c+d x)}{b}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\cos (a+x (b-d)-c)}{2 b (b-d)}-\frac{\cos (a+x (b+d)+c)}{2 b (b+d)}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sin (a+b x) \text{Si}(c+d x)}{b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}-\frac{x \cos (a+b x) \text{Si}(c+d x)}{b}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\cos (a+x (b-d)-c)}{2 b (b-d)}-\frac{\cos (a+x (b+d)+c)}{2 b (b+d)}",1,"Cos[a - c + (b - d)*x]/(2*b*(b - d)) - Cos[a + c + (b + d)*x]/(2*b*(b + d)) - (Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) + (Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2) + (c*CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b*d) - (c*CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b*d) + (c*Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) + (Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) - (x*Cos[a + b*x]*SinIntegral[c + d*x])/b + (Sin[a + b*x]*SinIntegral[c + d*x])/b^2 - (c*Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d) - (Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2)","A",24,10,14,0.7143,1,"{6513, 6742, 4574, 2638, 4430, 3303, 3299, 3302, 6517, 4428}"
64,1,154,0,0.2284813,"\int \sin (a+b x) \text{Si}(c+d x) \, dx","Int[Sin[a + b*x]*SinIntegral[c + d*x],x]","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cos (a+b x) \text{Si}(c+d x)}{b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cos (a+b x) \text{Si}(c+d x)}{b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"-(CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b) + (CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b) - (Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) - (Cos[a + b*x]*SinIntegral[c + d*x])/b + (Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b)","A",9,5,13,0.3846,1,"{6511, 4430, 3303, 3299, 3302}"
65,0,0,0,0.1420274,"\int \frac{\sin (a+b x) \text{Si}(c+d x)}{x} \, dx","Int[(Sin[a + b*x]*SinIntegral[c + d*x])/x,x]","\int \frac{\sin (a+b x) \text{Si}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\sin (a+b x) \text{Si}(c+d x)}{x},x\right)",0,"Defer[Int][(Sin[a + b*x]*SinIntegral[c + d*x])/x, x]","A",0,0,0,0,-1,"{}"
66,1,370,0,1.2402346,"\int x \cos (a+b x) \text{Si}(c+d x) \, dx","Int[x*Cos[a + b*x]*SinIntegral[c + d*x],x]","\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cos (a+b x) \text{Si}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}-\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{x \sin (a+b x) \text{Si}(c+d x)}{b}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{\sin (a+x (b-d)-c)}{2 b (b-d)}+\frac{\sin (a+x (b+d)+c)}{2 b (b+d)}","\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cos (a+b x) \text{Si}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}-\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{x \sin (a+b x) \text{Si}(c+d x)}{b}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{\sin (a+x (b-d)-c)}{2 b (b-d)}+\frac{\sin (a+x (b+d)+c)}{2 b (b+d)}",1,"(c*Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) - (c*Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d) + (CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b^2) - (CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b^2) - Sin[a - c + (b - d)*x]/(2*b*(b - d)) + Sin[a + c + (b + d)*x]/(2*b*(b + d)) + (Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) - (c*Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) + (Cos[a + b*x]*SinIntegral[c + d*x])/b^2 + (x*Sin[a + b*x]*SinIntegral[c + d*x])/b - (Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2) + (c*Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d)","A",24,9,14,0.6429,1,"{6519, 4608, 6742, 2637, 3303, 3299, 3302, 6511, 4430}"
67,1,153,0,0.2226888,"\int \cos (a+b x) \text{Si}(c+d x) \, dx","Int[Cos[a + b*x]*SinIntegral[c + d*x],x]","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\sin (a+b x) \text{Si}(c+d x)}{b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\sin (a+b x) \text{Si}(c+d x)}{b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"-(Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) + (Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b) + (Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) + (Sin[a + b*x]*SinIntegral[c + d*x])/b - (Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b)","A",9,5,13,0.3846,1,"{6517, 4428, 3303, 3299, 3302}"
68,0,0,0,0.1066615,"\int \frac{\cos (a+b x) \text{Si}(c+d x)}{x} \, dx","Int[(Cos[a + b*x]*SinIntegral[c + d*x])/x,x]","\int \frac{\cos (a+b x) \text{Si}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\cos (a+b x) \text{Si}(c+d x)}{x},x\right)",0,"Defer[Int][(Cos[a + b*x]*SinIntegral[c + d*x])/x, x]","A",0,0,0,0,-1,"{}"
69,1,90,0,0.0823221,"\int x^m \text{CosIntegral}(b x) \, dx","Int[x^m*CosIntegral[b*x],x]","\frac{i x^m (-i b x)^{-m} \text{Gamma}(m+1,-i b x)}{2 b (m+1)}-\frac{i x^m (i b x)^{-m} \text{Gamma}(m+1,i b x)}{2 b (m+1)}+\frac{x^{m+1} \text{CosIntegral}(b x)}{m+1}","\frac{i x^m (-i b x)^{-m} \text{Gamma}(m+1,-i b x)}{2 b (m+1)}-\frac{i x^m (i b x)^{-m} \text{Gamma}(m+1,i b x)}{2 b (m+1)}+\frac{x^{m+1} \text{CosIntegral}(b x)}{m+1}",1,"(x^(1 + m)*CosIntegral[b*x])/(1 + m) + ((I/2)*x^m*Gamma[1 + m, (-I)*b*x])/(b*(1 + m)*((-I)*b*x)^m) - ((I/2)*x^m*Gamma[1 + m, I*b*x])/(b*(1 + m)*(I*b*x)^m)","A",5,4,8,0.5000,1,"{6504, 12, 3307, 2181}"
70,1,63,0,0.0713873,"\int x^3 \text{CosIntegral}(b x) \, dx","Int[x^3*CosIntegral[b*x],x]","-\frac{3 x^2 \cos (b x)}{4 b^2}+\frac{3 x \sin (b x)}{2 b^3}+\frac{3 \cos (b x)}{2 b^4}+\frac{1}{4} x^4 \text{CosIntegral}(b x)-\frac{x^3 \sin (b x)}{4 b}","-\frac{3 x^2 \cos (b x)}{4 b^2}+\frac{3 x \sin (b x)}{2 b^3}+\frac{3 \cos (b x)}{2 b^4}+\frac{1}{4} x^4 \text{CosIntegral}(b x)-\frac{x^3 \sin (b x)}{4 b}",1,"(3*Cos[b*x])/(2*b^4) - (3*x^2*Cos[b*x])/(4*b^2) + (x^4*CosIntegral[b*x])/4 + (3*x*Sin[b*x])/(2*b^3) - (x^3*Sin[b*x])/(4*b)","A",6,4,8,0.5000,1,"{6504, 12, 3296, 2638}"
71,1,49,0,0.0478551,"\int x^2 \text{CosIntegral}(b x) \, dx","Int[x^2*CosIntegral[b*x],x]","\frac{2 \sin (b x)}{3 b^3}-\frac{2 x \cos (b x)}{3 b^2}+\frac{1}{3} x^3 \text{CosIntegral}(b x)-\frac{x^2 \sin (b x)}{3 b}","\frac{2 \sin (b x)}{3 b^3}-\frac{2 x \cos (b x)}{3 b^2}+\frac{1}{3} x^3 \text{CosIntegral}(b x)-\frac{x^2 \sin (b x)}{3 b}",1,"(-2*x*Cos[b*x])/(3*b^2) + (x^3*CosIntegral[b*x])/3 + (2*Sin[b*x])/(3*b^3) - (x^2*Sin[b*x])/(3*b)","A",5,4,8,0.5000,1,"{6504, 12, 3296, 2637}"
72,1,35,0,0.0235583,"\int x \text{CosIntegral}(b x) \, dx","Int[x*CosIntegral[b*x],x]","-\frac{\cos (b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(b x)-\frac{x \sin (b x)}{2 b}","-\frac{\cos (b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(b x)-\frac{x \sin (b x)}{2 b}",1,"-Cos[b*x]/(2*b^2) + (x^2*CosIntegral[b*x])/2 - (x*Sin[b*x])/(2*b)","A",4,4,6,0.6667,1,"{6504, 12, 3296, 2638}"
73,1,16,0,0.0044011,"\int \text{CosIntegral}(b x) \, dx","Int[CosIntegral[b*x],x]","x \text{CosIntegral}(b x)-\frac{\sin (b x)}{b}","x \text{CosIntegral}(b x)-\frac{\sin (b x)}{b}",1,"x*CosIntegral[b*x] - Sin[b*x]/b","A",1,1,4,0.2500,1,"{6500}"
74,1,61,0,0.02331,"\int \frac{\text{CosIntegral}(b x)}{x} \, dx","Int[CosIntegral[b*x]/x,x]","-\frac{1}{2} i b x \, _3F_3(1,1,1;2,2,2;-i b x)+\frac{1}{2} i b x \, _3F_3(1,1,1;2,2,2;i b x)+\frac{1}{2} \log ^2(b x)+\gamma  \log (x)","-\frac{1}{2} i b x \, _3F_3(1,1,1;2,2,2;-i b x)+\frac{1}{2} i b x \, _3F_3(1,1,1;2,2,2;i b x)+\frac{1}{2} \log ^2(b x)+\gamma  \log (x)",1,"(-I/2)*b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, (-I)*b*x] + (I/2)*b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, I*b*x] + EulerGamma*Log[x] + Log[b*x]^2/2","A",1,1,8,0.1250,1,"{6502}"
75,1,26,0,0.0478876,"\int \frac{\text{CosIntegral}(b x)}{x^2} \, dx","Int[CosIntegral[b*x]/x^2,x]","-\frac{\text{CosIntegral}(b x)}{x}-b \text{Si}(b x)-\frac{\cos (b x)}{x}","-\frac{\text{CosIntegral}(b x)}{x}-b \text{Si}(b x)-\frac{\cos (b x)}{x}",1,"-(Cos[b*x]/x) - CosIntegral[b*x]/x - b*SinIntegral[b*x]","A",4,4,8,0.5000,1,"{6504, 12, 3297, 3299}"
76,1,46,0,0.0675109,"\int \frac{\text{CosIntegral}(b x)}{x^3} \, dx","Int[CosIntegral[b*x]/x^3,x]","-\frac{1}{4} b^2 \text{CosIntegral}(b x)-\frac{\text{CosIntegral}(b x)}{2 x^2}-\frac{\cos (b x)}{4 x^2}+\frac{b \sin (b x)}{4 x}","-\frac{1}{4} b^2 \text{CosIntegral}(b x)-\frac{\text{CosIntegral}(b x)}{2 x^2}-\frac{\cos (b x)}{4 x^2}+\frac{b \sin (b x)}{4 x}",1,"-Cos[b*x]/(4*x^2) - (b^2*CosIntegral[b*x])/4 - CosIntegral[b*x]/(2*x^2) + (b*Sin[b*x])/(4*x)","A",5,4,8,0.5000,1,"{6504, 12, 3297, 3302}"
77,0,0,0,0.0329213,"\int x^m \text{CosIntegral}(b x)^2 \, dx","Int[x^m*CosIntegral[b*x]^2,x]","\int x^m \text{CosIntegral}(b x)^2 \, dx","\text{Int}\left(x^m \text{CosIntegral}(b x)^2,x\right)",0,"Defer[Int][x^m*CosIntegral[b*x]^2, x]","A",0,0,0,0,-1,"{}"
78,1,163,0,0.2285248,"\int x^3 \text{CosIntegral}(b x)^2 \, dx","Int[x^3*CosIntegral[b*x]^2,x]","-\frac{3 x^2 \text{CosIntegral}(b x) \cos (b x)}{2 b^2}-\frac{3 \text{CosIntegral}(2 b x)}{2 b^4}+\frac{3 x \text{CosIntegral}(b x) \sin (b x)}{b^3}+\frac{3 \text{CosIntegral}(b x) \cos (b x)}{b^4}+\frac{x^2}{4 b^2}+\frac{x^2 \sin ^2(b x)}{4 b^2}-\frac{3 \log (x)}{2 b^4}-\frac{13 \sin ^2(b x)}{8 b^4}+\frac{3 \cos ^2(b x)}{8 b^4}+\frac{x \sin (b x) \cos (b x)}{b^3}+\frac{1}{4} x^4 \text{CosIntegral}(b x)^2-\frac{x^3 \text{CosIntegral}(b x) \sin (b x)}{2 b}","-\frac{3 x^2 \text{CosIntegral}(b x) \cos (b x)}{2 b^2}-\frac{3 \text{CosIntegral}(2 b x)}{2 b^4}+\frac{3 x \text{CosIntegral}(b x) \sin (b x)}{b^3}+\frac{3 \text{CosIntegral}(b x) \cos (b x)}{b^4}+\frac{x^2}{4 b^2}+\frac{x^2 \sin ^2(b x)}{4 b^2}-\frac{3 \log (x)}{2 b^4}-\frac{13 \sin ^2(b x)}{8 b^4}+\frac{3 \cos ^2(b x)}{8 b^4}+\frac{x \sin (b x) \cos (b x)}{b^3}+\frac{1}{4} x^4 \text{CosIntegral}(b x)^2-\frac{x^3 \text{CosIntegral}(b x) \sin (b x)}{2 b}",1,"x^2/(4*b^2) + (3*Cos[b*x]^2)/(8*b^4) + (3*Cos[b*x]*CosIntegral[b*x])/b^4 - (3*x^2*Cos[b*x]*CosIntegral[b*x])/(2*b^2) + (x^4*CosIntegral[b*x]^2)/4 - (3*CosIntegral[2*b*x])/(2*b^4) - (3*Log[x])/(2*b^4) + (x*Cos[b*x]*Sin[b*x])/b^3 + (3*x*CosIntegral[b*x]*Sin[b*x])/b^3 - (x^3*CosIntegral[b*x]*Sin[b*x])/(2*b) - (13*Sin[b*x]^2)/(8*b^4) + (x^2*Sin[b*x]^2)/(4*b^2)","A",19,11,10,1.100,1,"{6508, 6514, 12, 3443, 3310, 30, 6520, 2564, 6518, 3312, 3302}"
79,1,112,0,0.1381294,"\int x^2 \text{CosIntegral}(b x)^2 \, dx","Int[x^2*CosIntegral[b*x]^2,x]","\frac{4 \text{CosIntegral}(b x) \sin (b x)}{3 b^3}-\frac{4 x \text{CosIntegral}(b x) \cos (b x)}{3 b^2}-\frac{2 \text{Si}(2 b x)}{3 b^3}+\frac{x}{2 b^2}+\frac{x \sin ^2(b x)}{3 b^2}+\frac{5 \sin (b x) \cos (b x)}{6 b^3}+\frac{1}{3} x^3 \text{CosIntegral}(b x)^2-\frac{2 x^2 \text{CosIntegral}(b x) \sin (b x)}{3 b}","\frac{4 \text{CosIntegral}(b x) \sin (b x)}{3 b^3}-\frac{4 x \text{CosIntegral}(b x) \cos (b x)}{3 b^2}-\frac{2 \text{Si}(2 b x)}{3 b^3}+\frac{x}{2 b^2}+\frac{x \sin ^2(b x)}{3 b^2}+\frac{5 \sin (b x) \cos (b x)}{6 b^3}+\frac{1}{3} x^3 \text{CosIntegral}(b x)^2-\frac{2 x^2 \text{CosIntegral}(b x) \sin (b x)}{3 b}",1,"x/(2*b^2) - (4*x*Cos[b*x]*CosIntegral[b*x])/(3*b^2) + (x^3*CosIntegral[b*x]^2)/3 + (5*Cos[b*x]*Sin[b*x])/(6*b^3) + (4*CosIntegral[b*x]*Sin[b*x])/(3*b^3) - (2*x^2*CosIntegral[b*x]*Sin[b*x])/(3*b) + (x*Sin[b*x]^2)/(3*b^2) - (2*SinIntegral[2*b*x])/(3*b^3)","A",15,10,10,1.000,1,"{6508, 6514, 12, 3443, 2635, 8, 6520, 6512, 4406, 3299}"
80,1,75,0,0.0906658,"\int x \text{CosIntegral}(b x)^2 \, dx","Int[x*CosIntegral[b*x]^2,x]","\frac{\text{CosIntegral}(2 b x)}{2 b^2}-\frac{\text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{\log (x)}{2 b^2}+\frac{\sin ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(b x)^2-\frac{x \text{CosIntegral}(b x) \sin (b x)}{b}","\frac{\text{CosIntegral}(2 b x)}{2 b^2}-\frac{\text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{\log (x)}{2 b^2}+\frac{\sin ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(b x)^2-\frac{x \text{CosIntegral}(b x) \sin (b x)}{b}",1,"-((Cos[b*x]*CosIntegral[b*x])/b^2) + (x^2*CosIntegral[b*x]^2)/2 + CosIntegral[2*b*x]/(2*b^2) + Log[x]/(2*b^2) - (x*CosIntegral[b*x]*Sin[b*x])/b + Sin[b*x]^2/(2*b^2)","A",10,8,8,1.000,1,"{6508, 6514, 12, 2564, 30, 6518, 3312, 3302}"
81,1,31,0,0.0537311,"\int \text{CosIntegral}(b x)^2 \, dx","Int[CosIntegral[b*x]^2,x]","x \text{CosIntegral}(b x)^2-\frac{2 \text{CosIntegral}(b x) \sin (b x)}{b}+\frac{\text{Si}(2 b x)}{b}","x \text{CosIntegral}(b x)^2-\frac{2 \text{CosIntegral}(b x) \sin (b x)}{b}+\frac{\text{Si}(2 b x)}{b}",1,"x*CosIntegral[b*x]^2 - (2*CosIntegral[b*x]*Sin[b*x])/b + SinIntegral[2*b*x]/b","A",6,5,6,0.8333,1,"{6506, 6512, 12, 4406, 3299}"
82,0,0,0,0.0217906,"\int \frac{\text{CosIntegral}(b x)^2}{x} \, dx","Int[CosIntegral[b*x]^2/x,x]","\int \frac{\text{CosIntegral}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(b x)^2}{x},x\right)",0,"Defer[Int][CosIntegral[b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
83,0,0,0,0.0251882,"\int \frac{\text{CosIntegral}(b x)^2}{x^2} \, dx","Int[CosIntegral[b*x]^2/x^2,x]","\int \frac{\text{CosIntegral}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(b x)^2}{x^2},x\right)",0,"Defer[Int][CosIntegral[b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
84,0,0,0,0.0256739,"\int \frac{\text{CosIntegral}(b x)^2}{x^3} \, dx","Int[CosIntegral[b*x]^2/x^3,x]","\int \frac{\text{CosIntegral}(b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(b x)^2}{x^3},x\right)",0,"Defer[Int][CosIntegral[b*x]^2/x^3, x]","A",0,0,0,0,-1,"{}"
85,0,0,0,0.3157712,"\int x^m \text{CosIntegral}(a+b x) \, dx","Int[x^m*CosIntegral[a + b*x],x]","\int x^m \text{CosIntegral}(a+b x) \, dx","\frac{x^{m+1} \text{CosIntegral}(a+b x)}{m+1}-\frac{b \text{Int}\left(\frac{x^{m+1} \cos (a+b x)}{a+b x},x\right)}{m+1}",0,"(x^(1 + m)*CosIntegral[a + b*x])/(1 + m) - (b*Defer[Int][(x^(1 + m)*Cos[a + b*x])/(a + b*x), x])/(1 + m)","A",0,0,0,0,-1,"{}"
86,1,184,0,0.3744111,"\int x^3 \text{CosIntegral}(a+b x) \, dx","Int[x^3*CosIntegral[a + b*x],x]","-\frac{a^4 \text{CosIntegral}(a+b x)}{4 b^4}+\frac{a^3 \sin (a+b x)}{4 b^4}-\frac{a^2 x \sin (a+b x)}{4 b^3}-\frac{a^2 \cos (a+b x)}{4 b^4}+\frac{a x^2 \sin (a+b x)}{4 b^2}-\frac{3 x^2 \cos (a+b x)}{4 b^2}-\frac{a \sin (a+b x)}{2 b^4}+\frac{3 x \sin (a+b x)}{2 b^3}+\frac{a x \cos (a+b x)}{2 b^3}+\frac{3 \cos (a+b x)}{2 b^4}+\frac{1}{4} x^4 \text{CosIntegral}(a+b x)-\frac{x^3 \sin (a+b x)}{4 b}","-\frac{a^4 \text{CosIntegral}(a+b x)}{4 b^4}+\frac{a^3 \sin (a+b x)}{4 b^4}-\frac{a^2 x \sin (a+b x)}{4 b^3}-\frac{a^2 \cos (a+b x)}{4 b^4}+\frac{a x^2 \sin (a+b x)}{4 b^2}-\frac{3 x^2 \cos (a+b x)}{4 b^2}-\frac{a \sin (a+b x)}{2 b^4}+\frac{3 x \sin (a+b x)}{2 b^3}+\frac{a x \cos (a+b x)}{2 b^3}+\frac{3 \cos (a+b x)}{2 b^4}+\frac{1}{4} x^4 \text{CosIntegral}(a+b x)-\frac{x^3 \sin (a+b x)}{4 b}",1,"(3*Cos[a + b*x])/(2*b^4) - (a^2*Cos[a + b*x])/(4*b^4) + (a*x*Cos[a + b*x])/(2*b^3) - (3*x^2*Cos[a + b*x])/(4*b^2) - (a^4*CosIntegral[a + b*x])/(4*b^4) + (x^4*CosIntegral[a + b*x])/4 - (a*Sin[a + b*x])/(2*b^4) + (a^3*Sin[a + b*x])/(4*b^4) + (3*x*Sin[a + b*x])/(2*b^3) - (a^2*x*Sin[a + b*x])/(4*b^3) + (a*x^2*Sin[a + b*x])/(4*b^2) - (x^3*Sin[a + b*x])/(4*b)","A",14,6,10,0.6000,1,"{6504, 6742, 2637, 3296, 2638, 3302}"
87,1,118,0,0.2721337,"\int x^2 \text{CosIntegral}(a+b x) \, dx","Int[x^2*CosIntegral[a + b*x],x]","\frac{a^3 \text{CosIntegral}(a+b x)}{3 b^3}-\frac{a^2 \sin (a+b x)}{3 b^3}+\frac{a x \sin (a+b x)}{3 b^2}+\frac{2 \sin (a+b x)}{3 b^3}+\frac{a \cos (a+b x)}{3 b^3}-\frac{2 x \cos (a+b x)}{3 b^2}+\frac{1}{3} x^3 \text{CosIntegral}(a+b x)-\frac{x^2 \sin (a+b x)}{3 b}","\frac{a^3 \text{CosIntegral}(a+b x)}{3 b^3}-\frac{a^2 \sin (a+b x)}{3 b^3}+\frac{a x \sin (a+b x)}{3 b^2}+\frac{2 \sin (a+b x)}{3 b^3}+\frac{a \cos (a+b x)}{3 b^3}-\frac{2 x \cos (a+b x)}{3 b^2}+\frac{1}{3} x^3 \text{CosIntegral}(a+b x)-\frac{x^2 \sin (a+b x)}{3 b}",1,"(a*Cos[a + b*x])/(3*b^3) - (2*x*Cos[a + b*x])/(3*b^2) + (a^3*CosIntegral[a + b*x])/(3*b^3) + (x^3*CosIntegral[a + b*x])/3 + (2*Sin[a + b*x])/(3*b^3) - (a^2*Sin[a + b*x])/(3*b^3) + (a*x*Sin[a + b*x])/(3*b^2) - (x^2*Sin[a + b*x])/(3*b)","A",10,6,10,0.6000,1,"{6504, 6742, 2637, 3296, 2638, 3302}"
88,1,71,0,0.2067696,"\int x \text{CosIntegral}(a+b x) \, dx","Int[x*CosIntegral[a + b*x],x]","-\frac{a^2 \text{CosIntegral}(a+b x)}{2 b^2}+\frac{a \sin (a+b x)}{2 b^2}-\frac{\cos (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(a+b x)-\frac{x \sin (a+b x)}{2 b}","-\frac{a^2 \text{CosIntegral}(a+b x)}{2 b^2}+\frac{a \sin (a+b x)}{2 b^2}-\frac{\cos (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{CosIntegral}(a+b x)-\frac{x \sin (a+b x)}{2 b}",1,"-Cos[a + b*x]/(2*b^2) - (a^2*CosIntegral[a + b*x])/(2*b^2) + (x^2*CosIntegral[a + b*x])/2 + (a*Sin[a + b*x])/(2*b^2) - (x*Sin[a + b*x])/(2*b)","A",7,6,8,0.7500,1,"{6504, 6742, 2637, 3296, 2638, 3302}"
89,1,27,0,0.0056449,"\int \text{CosIntegral}(a+b x) \, dx","Int[CosIntegral[a + b*x],x]","\frac{(a+b x) \text{CosIntegral}(a+b x)}{b}-\frac{\sin (a+b x)}{b}","\frac{(a+b x) \text{CosIntegral}(a+b x)}{b}-\frac{\sin (a+b x)}{b}",1,"((a + b*x)*CosIntegral[a + b*x])/b - Sin[a + b*x]/b","A",1,1,6,0.1667,1,"{6500}"
90,0,0,0,0.0207117,"\int \frac{\text{CosIntegral}(a+b x)}{x} \, dx","Int[CosIntegral[a + b*x]/x,x]","\int \frac{\text{CosIntegral}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x)}{x},x\right)",0,"Defer[Int][CosIntegral[a + b*x]/x, x]","A",0,0,0,0,-1,"{}"
91,1,47,0,0.2215951,"\int \frac{\text{CosIntegral}(a+b x)}{x^2} \, dx","Int[CosIntegral[a + b*x]/x^2,x]","-\frac{b \text{CosIntegral}(a+b x)}{a}-\frac{\text{CosIntegral}(a+b x)}{x}+\frac{b \cos (a) \text{CosIntegral}(b x)}{a}-\frac{b \sin (a) \text{Si}(b x)}{a}","-\frac{b \text{CosIntegral}(a+b x)}{a}-\frac{\text{CosIntegral}(a+b x)}{x}+\frac{b \cos (a) \text{CosIntegral}(b x)}{a}-\frac{b \sin (a) \text{Si}(b x)}{a}",1,"(b*Cos[a]*CosIntegral[b*x])/a - (b*CosIntegral[a + b*x])/a - CosIntegral[a + b*x]/x - (b*Sin[a]*SinIntegral[b*x])/a","A",7,5,10,0.5000,1,"{6504, 6742, 3303, 3299, 3302}"
92,1,111,0,0.3267205,"\int \frac{\text{CosIntegral}(a+b x)}{x^3} \, dx","Int[CosIntegral[a + b*x]/x^3,x]","\frac{b^2 \text{CosIntegral}(a+b x)}{2 a^2}-\frac{b^2 \cos (a) \text{CosIntegral}(b x)}{2 a^2}+\frac{b^2 \sin (a) \text{Si}(b x)}{2 a^2}-\frac{b^2 \sin (a) \text{CosIntegral}(b x)}{2 a}-\frac{b^2 \cos (a) \text{Si}(b x)}{2 a}-\frac{\text{CosIntegral}(a+b x)}{2 x^2}-\frac{b \cos (a+b x)}{2 a x}","\frac{b^2 \text{CosIntegral}(a+b x)}{2 a^2}-\frac{b^2 \cos (a) \text{CosIntegral}(b x)}{2 a^2}+\frac{b^2 \sin (a) \text{Si}(b x)}{2 a^2}-\frac{b^2 \sin (a) \text{CosIntegral}(b x)}{2 a}-\frac{b^2 \cos (a) \text{Si}(b x)}{2 a}-\frac{\text{CosIntegral}(a+b x)}{2 x^2}-\frac{b \cos (a+b x)}{2 a x}",1,"-(b*Cos[a + b*x])/(2*a*x) - (b^2*Cos[a]*CosIntegral[b*x])/(2*a^2) + (b^2*CosIntegral[a + b*x])/(2*a^2) - CosIntegral[a + b*x]/(2*x^2) - (b^2*CosIntegral[b*x]*Sin[a])/(2*a) - (b^2*Cos[a]*SinIntegral[b*x])/(2*a) + (b^2*Sin[a]*SinIntegral[b*x])/(2*a^2)","A",11,6,10,0.6000,1,"{6504, 6742, 3297, 3303, 3299, 3302}"
93,0,0,0,0.0424156,"\int x^m \text{CosIntegral}(a+b x)^2 \, dx","Int[x^m*CosIntegral[a + b*x]^2,x]","\int x^m \text{CosIntegral}(a+b x)^2 \, dx","\text{Int}\left(x^m \text{CosIntegral}(a+b x)^2,x\right)",0,"Defer[Int][x^m*CosIntegral[a + b*x]^2, x]","A",0,0,0,0,-1,"{}"
94,1,329,0,1.3224142,"\int x^2 \text{CosIntegral}(a+b x)^2 \, dx","Int[x^2*CosIntegral[a + b*x]^2,x]","\frac{a^2 (a+b x) \text{CosIntegral}(a+b x)^2}{3 b^3}-\frac{2 a^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^3}+\frac{a^2 \text{Si}(2 a+2 b x)}{b^3}-\frac{a x (a+b x) \text{CosIntegral}(a+b x)^2}{3 b^2}-\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{2 a x \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^2}+\frac{4 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^3}+\frac{2 a \text{CosIntegral}(a+b x) \cos (a+b x)}{3 b^3}-\frac{4 x \text{CosIntegral}(a+b x) \cos (a+b x)}{3 b^2}-\frac{2 \text{Si}(2 a+2 b x)}{3 b^3}-\frac{a \log (a+b x)}{b^3}+\frac{\sin (2 a+2 b x)}{12 b^3}+\frac{a \cos (2 a+2 b x)}{3 b^3}-\frac{x \cos (2 a+2 b x)}{6 b^2}+\frac{2 \sin (a+b x) \cos (a+b x)}{3 b^3}+\frac{x^2 (a+b x) \text{CosIntegral}(a+b x)^2}{3 b}-\frac{2 x^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b}+\frac{2 x}{3 b^2}","\frac{a^2 (a+b x) \text{CosIntegral}(a+b x)^2}{3 b^3}-\frac{2 a^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^3}+\frac{a^2 \text{Si}(2 a+2 b x)}{b^3}-\frac{a x (a+b x) \text{CosIntegral}(a+b x)^2}{3 b^2}-\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{2 a x \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^2}+\frac{4 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b^3}+\frac{2 a \text{CosIntegral}(a+b x) \cos (a+b x)}{3 b^3}-\frac{4 x \text{CosIntegral}(a+b x) \cos (a+b x)}{3 b^2}-\frac{2 \text{Si}(2 a+2 b x)}{3 b^3}-\frac{a \log (a+b x)}{b^3}+\frac{\sin (2 a+2 b x)}{12 b^3}+\frac{a \cos (2 a+2 b x)}{3 b^3}-\frac{x \cos (2 a+2 b x)}{6 b^2}+\frac{2 \sin (a+b x) \cos (a+b x)}{3 b^3}+\frac{x^2 (a+b x) \text{CosIntegral}(a+b x)^2}{3 b}-\frac{2 x^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{3 b}+\frac{2 x}{3 b^2}",1,"(2*x)/(3*b^2) + (a*Cos[2*a + 2*b*x])/(3*b^3) - (x*Cos[2*a + 2*b*x])/(6*b^2) + (2*a*Cos[a + b*x]*CosIntegral[a + b*x])/(3*b^3) - (4*x*Cos[a + b*x]*CosIntegral[a + b*x])/(3*b^2) + (a^2*(a + b*x)*CosIntegral[a + b*x]^2)/(3*b^3) - (a*x*(a + b*x)*CosIntegral[a + b*x]^2)/(3*b^2) + (x^2*(a + b*x)*CosIntegral[a + b*x]^2)/(3*b) - (a*CosIntegral[2*a + 2*b*x])/b^3 - (a*Log[a + b*x])/b^3 + (2*Cos[a + b*x]*Sin[a + b*x])/(3*b^3) + (4*CosIntegral[a + b*x]*Sin[a + b*x])/(3*b^3) - (2*a^2*CosIntegral[a + b*x]*Sin[a + b*x])/(3*b^3) + (2*a*x*CosIntegral[a + b*x]*Sin[a + b*x])/(3*b^2) - (2*x^2*CosIntegral[a + b*x]*Sin[a + b*x])/(3*b) + Sin[2*a + 2*b*x]/(12*b^3) - (2*SinIntegral[2*a + 2*b*x])/(3*b^3) + (a^2*SinIntegral[2*a + 2*b*x])/b^3","A",39,19,12,1.583,1,"{6510, 6514, 4573, 6741, 6742, 2638, 3296, 2637, 3299, 6520, 2635, 8, 3312, 3302, 6512, 4406, 12, 6518, 6506}"
95,1,155,0,0.3375564,"\int x \text{CosIntegral}(a+b x)^2 \, dx","Int[x*CosIntegral[a + b*x]^2,x]","-\frac{a (a+b x) \text{CosIntegral}(a+b x)^2}{2 b^2}+\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{a \text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}-\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}-\frac{a \text{Si}(2 a+2 b x)}{b^2}+\frac{\log (a+b x)}{2 b^2}-\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{CosIntegral}(a+b x)^2}{2 b}-\frac{x \text{CosIntegral}(a+b x) \sin (a+b x)}{b}","-\frac{a (a+b x) \text{CosIntegral}(a+b x)^2}{2 b^2}+\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{a \text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}-\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}-\frac{a \text{Si}(2 a+2 b x)}{b^2}+\frac{\log (a+b x)}{2 b^2}-\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{CosIntegral}(a+b x)^2}{2 b}-\frac{x \text{CosIntegral}(a+b x) \sin (a+b x)}{b}",1,"-Cos[2*a + 2*b*x]/(4*b^2) - (Cos[a + b*x]*CosIntegral[a + b*x])/b^2 - (a*(a + b*x)*CosIntegral[a + b*x]^2)/(2*b^2) + (x*(a + b*x)*CosIntegral[a + b*x]^2)/(2*b) + CosIntegral[2*a + 2*b*x]/(2*b^2) + Log[a + b*x]/(2*b^2) + (a*CosIntegral[a + b*x]*Sin[a + b*x])/b^2 - (x*CosIntegral[a + b*x]*Sin[a + b*x])/b - (a*SinIntegral[2*a + 2*b*x])/b^2","A",17,14,10,1.400,1,"{6510, 6514, 4573, 6741, 6742, 2638, 3299, 6518, 3312, 3302, 6506, 6512, 4406, 12}"
96,1,48,0,0.0652635,"\int \text{CosIntegral}(a+b x)^2 \, dx","Int[CosIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{CosIntegral}(a+b x)^2}{b}-\frac{2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b}+\frac{\text{Si}(2 a+2 b x)}{b}","\frac{(a+b x) \text{CosIntegral}(a+b x)^2}{b}-\frac{2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b}+\frac{\text{Si}(2 a+2 b x)}{b}",1,"((a + b*x)*CosIntegral[a + b*x]^2)/b - (2*CosIntegral[a + b*x]*Sin[a + b*x])/b + SinIntegral[2*a + 2*b*x]/b","A",5,5,8,0.6250,1,"{6506, 6512, 4406, 12, 3299}"
97,0,0,0,0.0299319,"\int \frac{\text{CosIntegral}(a+b x)^2}{x} \, dx","Int[CosIntegral[a + b*x]^2/x,x]","\int \frac{\text{CosIntegral}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x)^2}{x},x\right)",0,"Defer[Int][CosIntegral[a + b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
98,0,0,0,0.0359025,"\int \frac{\text{CosIntegral}(a+b x)^2}{x^2} \, dx","Int[CosIntegral[a + b*x]^2/x^2,x]","\int \frac{\text{CosIntegral}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x)^2}{x^2},x\right)",0,"Defer[Int][CosIntegral[a + b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
99,0,0,0,0.0347127,"\int \frac{\text{CosIntegral}(a+b x)^2}{x^3} \, dx","Int[CosIntegral[a + b*x]^2/x^3,x]","\int \frac{\text{CosIntegral}(a+b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x)^2}{x^3},x\right)",0,"Defer[Int][CosIntegral[a + b*x]^2/x^3, x]","A",0,0,0,0,-1,"{}"
100,1,133,0,0.251172,"\int x^2 \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{6} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{6} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{3} x^3 \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{6} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{6} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^3*CosIntegral[d*(a + b*Log[c*x^n])])/3 - (x^3*ExpIntegralEi[((3 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(6*E^((3*a)/(b*n))*(c*x^n)^(3/n)) - (x^3*ExpIntegralEi[((3 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(6*E^((3*a)/(b*n))*(c*x^n)^(3/n))","A",7,5,17,0.2941,1,"{6527, 12, 4498, 2310, 2178}"
101,1,133,0,0.2474791,"\int x \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{4} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{4} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{2} x^2 \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{4} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{4} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^2*CosIntegral[d*(a + b*Log[c*x^n])])/2 - (x^2*ExpIntegralEi[((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(4*E^((2*a)/(b*n))*(c*x^n)^(2/n)) - (x^2*ExpIntegralEi[((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(4*E^((2*a)/(b*n))*(c*x^n)^(2/n))","A",7,5,15,0.3333,1,"{6527, 12, 4498, 2310, 2178}"
102,1,124,0,0.2280579,"\int \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[CosIntegral[d*(a + b*Log[c*x^n])],x]","x \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{2} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","x \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\frac{1}{2} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"x*CosIntegral[d*(a + b*Log[c*x^n])] - (x*ExpIntegralEi[((1 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(2*E^(a/(b*n))*(c*x^n)^n^(-1)) - (x*ExpIntegralEi[((1 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(2*E^(a/(b*n))*(c*x^n)^n^(-1))","A",7,5,13,0.3846,1,"{6524, 12, 4496, 2310, 2178}"
103,1,55,0,0.0352144,"\int \frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[CosIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\sin \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\sin \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}",1,"(CosIntegral[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*n) - Sin[d*(a + b*Log[c*x^n])]/(b*d*n)","A",3,1,17,0.05882,1,"{6500}"
104,1,127,0,0.2473609,"\int \frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[CosIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","-\frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}+\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}+\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}","-\frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}+\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}+\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}",1,"-(CosIntegral[d*(a + b*Log[c*x^n])]/x) + (E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-(((1 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/(2*x) + (E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-(((1 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/(2*x)","A",7,5,17,0.2941,1,"{6527, 12, 4498, 2310, 2178}"
105,1,135,0,0.2389817,"\int \frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[CosIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","-\frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}+\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}+\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}","-\frac{\text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}+\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}+\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}",1,"-CosIntegral[d*(a + b*Log[c*x^n])]/(2*x^2) + (E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[-(((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/(4*x^2) + (E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[-(((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/(4*x^2)","A",7,5,17,0.2941,1,"{6527, 12, 4498, 2310, 2178}"
106,1,172,0,0.2947021,"\int (e x)^m \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^{m+1} \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}-\frac{x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}","\frac{(e x)^{m+1} \text{CosIntegral}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}-\frac{x (e x)^m e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 (m+1)}",1,"((e*x)^(1 + m)*CosIntegral[d*(a + b*Log[c*x^n])])/(e*(1 + m)) - (x*(e*x)^m*ExpIntegralEi[((1 + m - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(2*E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n)) - (x*(e*x)^m*ExpIntegralEi[((1 + m + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(2*E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n))","A",7,5,19,0.2632,1,"{6527, 12, 4498, 2310, 2178}"
107,0,0,0,0.2508307,"\int \frac{\text{CosIntegral}(b x) \sin (b x)}{x^3} \, dx","Int[(CosIntegral[b*x]*Sin[b*x])/x^3,x]","\int \frac{\text{CosIntegral}(b x) \sin (b x)}{x^3} \, dx","-\frac{1}{2} b^2 \text{Int}\left(\frac{\text{CosIntegral}(b x) \sin (b x)}{x},x\right)+b^2 (-\text{Si}(2 b x))-\frac{\text{CosIntegral}(b x) \sin (b x)}{2 x^2}-\frac{b \text{CosIntegral}(b x) \cos (b x)}{2 x}-\frac{\sin (2 b x)}{8 x^2}-\frac{b \cos ^2(b x)}{2 x}-\frac{b \cos (2 b x)}{4 x}",0,"-(b*Cos[b*x]^2)/(2*x) - (b*Cos[2*b*x])/(4*x) - (b*Cos[b*x]*CosIntegral[b*x])/(2*x) - (CosIntegral[b*x]*Sin[b*x])/(2*x^2) - Sin[2*b*x]/(8*x^2) - b^2*SinIntegral[2*b*x] - (b^2*Defer[Int][(CosIntegral[b*x]*Sin[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
108,1,44,0,0.102781,"\int \frac{\text{CosIntegral}(b x) \sin (b x)}{x^2} \, dx","Int[(CosIntegral[b*x]*Sin[b*x])/x^2,x]","\frac{1}{2} b \text{CosIntegral}(b x)^2+b \text{CosIntegral}(2 b x)-\frac{\text{CosIntegral}(b x) \sin (b x)}{x}-\frac{\sin (2 b x)}{2 x}","\frac{1}{2} b \text{CosIntegral}(b x)^2+b \text{CosIntegral}(2 b x)-\frac{\text{CosIntegral}(b x) \sin (b x)}{x}-\frac{\sin (2 b x)}{2 x}",1,"(b*CosIntegral[b*x]^2)/2 + b*CosIntegral[2*b*x] - (CosIntegral[b*x]*Sin[b*x])/x - Sin[2*b*x]/(2*x)","A",7,6,12,0.5000,1,"{6522, 6686, 12, 4406, 3297, 3302}"
109,0,0,0,0.0265349,"\int \frac{\text{CosIntegral}(b x) \sin (b x)}{x} \, dx","Int[(CosIntegral[b*x]*Sin[b*x])/x,x]","\int \frac{\text{CosIntegral}(b x) \sin (b x)}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(b x) \sin (b x)}{x},x\right)",0,"Defer[Int][(CosIntegral[b*x]*Sin[b*x])/x, x]","A",0,0,0,0,-1,"{}"
110,1,35,0,0.0612325,"\int \text{CosIntegral}(b x) \sin (b x) \, dx","Int[CosIntegral[b*x]*Sin[b*x],x]","\frac{\text{CosIntegral}(2 b x)}{2 b}-\frac{\text{CosIntegral}(b x) \cos (b x)}{b}+\frac{\log (x)}{2 b}","\frac{\text{CosIntegral}(2 b x)}{2 b}-\frac{\text{CosIntegral}(b x) \cos (b x)}{b}+\frac{\log (x)}{2 b}",1,"-((Cos[b*x]*CosIntegral[b*x])/b) + CosIntegral[2*b*x]/(2*b) + Log[x]/(2*b)","A",5,4,9,0.4444,1,"{6518, 12, 3312, 3302}"
111,1,62,0,0.0691263,"\int x \text{CosIntegral}(b x) \sin (b x) \, dx","Int[x*CosIntegral[b*x]*Sin[b*x],x]","\frac{\text{CosIntegral}(b x) \sin (b x)}{b^2}-\frac{\text{Si}(2 b x)}{2 b^2}+\frac{\sin (b x) \cos (b x)}{2 b^2}-\frac{x \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x}{2 b}","\frac{\text{CosIntegral}(b x) \sin (b x)}{b^2}-\frac{\text{Si}(2 b x)}{2 b^2}+\frac{\sin (b x) \cos (b x)}{2 b^2}-\frac{x \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x}{2 b}",1,"x/(2*b) - (x*Cos[b*x]*CosIntegral[b*x])/b + (Cos[b*x]*Sin[b*x])/(2*b^2) + (CosIntegral[b*x]*Sin[b*x])/b^2 - SinIntegral[2*b*x]/(2*b^2)","A",9,7,10,0.7000,1,"{6520, 12, 2635, 8, 6512, 4406, 3299}"
112,1,111,0,0.1276497,"\int x^2 \text{CosIntegral}(b x) \sin (b x) \, dx","Int[x^2*CosIntegral[b*x]*Sin[b*x],x]","-\frac{\text{CosIntegral}(2 b x)}{b^3}+\frac{2 x \text{CosIntegral}(b x) \sin (b x)}{b^2}+\frac{2 \text{CosIntegral}(b x) \cos (b x)}{b^3}-\frac{\log (x)}{b^3}-\frac{\sin ^2(b x)}{b^3}+\frac{\cos ^2(b x)}{4 b^3}+\frac{x \sin (b x) \cos (b x)}{2 b^2}-\frac{x^2 \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x^2}{4 b}","-\frac{\text{CosIntegral}(2 b x)}{b^3}+\frac{2 x \text{CosIntegral}(b x) \sin (b x)}{b^2}+\frac{2 \text{CosIntegral}(b x) \cos (b x)}{b^3}-\frac{\log (x)}{b^3}-\frac{\sin ^2(b x)}{b^3}+\frac{\cos ^2(b x)}{4 b^3}+\frac{x \sin (b x) \cos (b x)}{2 b^2}-\frac{x^2 \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x^2}{4 b}",1,"x^2/(4*b) + Cos[b*x]^2/(4*b^3) + (2*Cos[b*x]*CosIntegral[b*x])/b^3 - (x^2*Cos[b*x]*CosIntegral[b*x])/b - CosIntegral[2*b*x]/b^3 - Log[x]/b^3 + (x*Cos[b*x]*Sin[b*x])/(2*b^2) + (2*x*CosIntegral[b*x]*Sin[b*x])/b^2 - Sin[b*x]^2/b^3","A",13,9,12,0.7500,1,"{6520, 12, 3310, 30, 6514, 2564, 6518, 3312, 3302}"
113,1,147,0,0.1827706,"\int x^3 \text{CosIntegral}(b x) \sin (b x) \, dx","Int[x^3*CosIntegral[b*x]*Sin[b*x],x]","\frac{3 x^2 \text{CosIntegral}(b x) \sin (b x)}{b^2}-\frac{6 \text{CosIntegral}(b x) \sin (b x)}{b^4}+\frac{6 x \text{CosIntegral}(b x) \cos (b x)}{b^3}+\frac{3 \text{Si}(2 b x)}{b^4}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}-\frac{5 x}{2 b^3}-\frac{3 x \sin ^2(b x)}{2 b^3}+\frac{x \cos ^2(b x)}{2 b^3}-\frac{4 \sin (b x) \cos (b x)}{b^4}-\frac{x^3 \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x^3}{6 b}","\frac{3 x^2 \text{CosIntegral}(b x) \sin (b x)}{b^2}-\frac{6 \text{CosIntegral}(b x) \sin (b x)}{b^4}+\frac{6 x \text{CosIntegral}(b x) \cos (b x)}{b^3}+\frac{3 \text{Si}(2 b x)}{b^4}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}-\frac{5 x}{2 b^3}-\frac{3 x \sin ^2(b x)}{2 b^3}+\frac{x \cos ^2(b x)}{2 b^3}-\frac{4 \sin (b x) \cos (b x)}{b^4}-\frac{x^3 \text{CosIntegral}(b x) \cos (b x)}{b}+\frac{x^3}{6 b}",1,"(-5*x)/(2*b^3) + x^3/(6*b) + (x*Cos[b*x]^2)/(2*b^3) + (6*x*Cos[b*x]*CosIntegral[b*x])/b^3 - (x^3*Cos[b*x]*CosIntegral[b*x])/b - (4*Cos[b*x]*Sin[b*x])/b^4 + (x^2*Cos[b*x]*Sin[b*x])/(2*b^2) - (6*CosIntegral[b*x]*Sin[b*x])/b^4 + (3*x^2*CosIntegral[b*x]*Sin[b*x])/b^2 - (3*x*Sin[b*x]^2)/(2*b^3) + (3*SinIntegral[2*b*x])/b^4","A",20,11,12,0.9167,1,"{6520, 12, 3311, 30, 2635, 8, 6514, 3443, 6512, 4406, 3299}"
114,1,97,0,0.1985927,"\int \frac{\cos (b x) \text{CosIntegral}(b x)}{x^3} \, dx","Int[(Cos[b*x]*CosIntegral[b*x])/x^3,x]","-\frac{1}{4} b^2 \text{CosIntegral}(b x)^2-b^2 \text{CosIntegral}(2 b x)-\frac{\text{CosIntegral}(b x) \cos (b x)}{2 x^2}+\frac{b \text{CosIntegral}(b x) \sin (b x)}{2 x}-\frac{\cos ^2(b x)}{4 x^2}+\frac{b \sin (2 b x)}{4 x}+\frac{b \sin (b x) \cos (b x)}{2 x}","-\frac{1}{4} b^2 \text{CosIntegral}(b x)^2-b^2 \text{CosIntegral}(2 b x)-\frac{\text{CosIntegral}(b x) \cos (b x)}{2 x^2}+\frac{b \text{CosIntegral}(b x) \sin (b x)}{2 x}-\frac{\cos ^2(b x)}{4 x^2}+\frac{b \sin (2 b x)}{4 x}+\frac{b \sin (b x) \cos (b x)}{2 x}",1,"-Cos[b*x]^2/(4*x^2) - (Cos[b*x]*CosIntegral[b*x])/(2*x^2) - (b^2*CosIntegral[b*x]^2)/4 - b^2*CosIntegral[2*b*x] + (b*Cos[b*x]*Sin[b*x])/(2*x) + (b*CosIntegral[b*x]*Sin[b*x])/(2*x) + (b*Sin[2*b*x])/(4*x)","A",14,10,12,0.8333,1,"{6516, 6522, 6686, 12, 4406, 3297, 3302, 3314, 29, 3312}"
115,0,0,0,0.0930662,"\int \frac{\cos (b x) \text{CosIntegral}(b x)}{x^2} \, dx","Int[(Cos[b*x]*CosIntegral[b*x])/x^2,x]","\int \frac{\cos (b x) \text{CosIntegral}(b x)}{x^2} \, dx","-b \text{Int}\left(\frac{\text{CosIntegral}(b x) \sin (b x)}{x},x\right)-\frac{\text{CosIntegral}(b x) \cos (b x)}{x}-b \text{Si}(2 b x)-\frac{\cos ^2(b x)}{x}",0,"-(Cos[b*x]^2/x) - (Cos[b*x]*CosIntegral[b*x])/x - b*SinIntegral[2*b*x] - b*Defer[Int][(CosIntegral[b*x]*Sin[b*x])/x, x]","A",0,0,0,0,-1,"{}"
116,1,10,0,0.0197507,"\int \frac{\cos (b x) \text{CosIntegral}(b x)}{x} \, dx","Int[(Cos[b*x]*CosIntegral[b*x])/x,x]","\frac{1}{2} \text{CosIntegral}(b x)^2","\frac{1}{2} \text{CosIntegral}(b x)^2",1,"CosIntegral[b*x]^2/2","A",1,1,12,0.08333,1,"{6686}"
117,1,25,0,0.043309,"\int \cos (b x) \text{CosIntegral}(b x) \, dx","Int[Cos[b*x]*CosIntegral[b*x],x]","\frac{\text{CosIntegral}(b x) \sin (b x)}{b}-\frac{\text{Si}(2 b x)}{2 b}","\frac{\text{CosIntegral}(b x) \sin (b x)}{b}-\frac{\text{Si}(2 b x)}{2 b}",1,"(CosIntegral[b*x]*Sin[b*x])/b - SinIntegral[2*b*x]/(2*b)","A",5,4,9,0.4444,1,"{6512, 12, 4406, 3299}"
118,1,60,0,0.0802722,"\int x \cos (b x) \text{CosIntegral}(b x) \, dx","Int[x*Cos[b*x]*CosIntegral[b*x],x]","-\frac{\text{CosIntegral}(2 b x)}{2 b^2}+\frac{\text{CosIntegral}(b x) \cos (b x)}{b^2}-\frac{\log (x)}{2 b^2}-\frac{\sin ^2(b x)}{2 b^2}+\frac{x \text{CosIntegral}(b x) \sin (b x)}{b}","-\frac{\text{CosIntegral}(2 b x)}{2 b^2}+\frac{\text{CosIntegral}(b x) \cos (b x)}{b^2}-\frac{\log (x)}{2 b^2}-\frac{\sin ^2(b x)}{2 b^2}+\frac{x \text{CosIntegral}(b x) \sin (b x)}{b}",1,"(Cos[b*x]*CosIntegral[b*x])/b^2 - CosIntegral[2*b*x]/(2*b^2) - Log[x]/(2*b^2) + (x*CosIntegral[b*x]*Sin[b*x])/b - Sin[b*x]^2/(2*b^2)","A",9,7,10,0.7000,1,"{6514, 12, 2564, 30, 6518, 3312, 3302}"
119,1,89,0,0.1128372,"\int x^2 \cos (b x) \text{CosIntegral}(b x) \, dx","Int[x^2*Cos[b*x]*CosIntegral[b*x],x]","-\frac{2 \text{CosIntegral}(b x) \sin (b x)}{b^3}+\frac{2 x \text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{\text{Si}(2 b x)}{b^3}-\frac{3 x}{4 b^2}-\frac{x \sin ^2(b x)}{2 b^2}-\frac{5 \sin (b x) \cos (b x)}{4 b^3}+\frac{x^2 \text{CosIntegral}(b x) \sin (b x)}{b}","-\frac{2 \text{CosIntegral}(b x) \sin (b x)}{b^3}+\frac{2 x \text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{\text{Si}(2 b x)}{b^3}-\frac{3 x}{4 b^2}-\frac{x \sin ^2(b x)}{2 b^2}-\frac{5 \sin (b x) \cos (b x)}{4 b^3}+\frac{x^2 \text{CosIntegral}(b x) \sin (b x)}{b}",1,"(-3*x)/(4*b^2) + (2*x*Cos[b*x]*CosIntegral[b*x])/b^2 - (5*Cos[b*x]*Sin[b*x])/(4*b^3) - (2*CosIntegral[b*x]*Sin[b*x])/b^3 + (x^2*CosIntegral[b*x]*Sin[b*x])/b - (x*Sin[b*x]^2)/(2*b^2) + SinIntegral[2*b*x]/b^3","A",14,9,12,0.7500,1,"{6514, 12, 3443, 2635, 8, 6520, 6512, 4406, 3299}"
120,1,142,0,0.1897296,"\int x^3 \cos (b x) \text{CosIntegral}(b x) \, dx","Int[x^3*Cos[b*x]*CosIntegral[b*x],x]","\frac{3 x^2 \text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{3 \text{CosIntegral}(2 b x)}{b^4}-\frac{6 x \text{CosIntegral}(b x) \sin (b x)}{b^3}-\frac{6 \text{CosIntegral}(b x) \cos (b x)}{b^4}-\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{2 b^2}+\frac{3 \log (x)}{b^4}+\frac{13 \sin ^2(b x)}{4 b^4}-\frac{3 \cos ^2(b x)}{4 b^4}-\frac{2 x \sin (b x) \cos (b x)}{b^3}+\frac{x^3 \text{CosIntegral}(b x) \sin (b x)}{b}","\frac{3 x^2 \text{CosIntegral}(b x) \cos (b x)}{b^2}+\frac{3 \text{CosIntegral}(2 b x)}{b^4}-\frac{6 x \text{CosIntegral}(b x) \sin (b x)}{b^3}-\frac{6 \text{CosIntegral}(b x) \cos (b x)}{b^4}-\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{2 b^2}+\frac{3 \log (x)}{b^4}+\frac{13 \sin ^2(b x)}{4 b^4}-\frac{3 \cos ^2(b x)}{4 b^4}-\frac{2 x \sin (b x) \cos (b x)}{b^3}+\frac{x^3 \text{CosIntegral}(b x) \sin (b x)}{b}",1,"-x^2/(2*b^2) - (3*Cos[b*x]^2)/(4*b^4) - (6*Cos[b*x]*CosIntegral[b*x])/b^4 + (3*x^2*Cos[b*x]*CosIntegral[b*x])/b^2 + (3*CosIntegral[2*b*x])/b^4 + (3*Log[x])/b^4 - (2*x*Cos[b*x]*Sin[b*x])/b^3 - (6*x*CosIntegral[b*x]*Sin[b*x])/b^3 + (x^3*CosIntegral[b*x]*Sin[b*x])/b + (13*Sin[b*x]^2)/(4*b^4) - (x^2*Sin[b*x]^2)/(2*b^2)","A",18,10,12,0.8333,1,"{6514, 12, 3443, 3310, 30, 6520, 2564, 6518, 3312, 3302}"
121,1,29,0,0.0557009,"\int \text{CosIntegral}(2 x) \sin (5 x) \, dx","Int[CosIntegral[2*x]*Sin[5*x],x]","\frac{1}{10} \text{CosIntegral}(3 x)+\frac{1}{10} \text{CosIntegral}(7 x)-\frac{1}{5} \text{CosIntegral}(2 x) \cos (5 x)","\frac{1}{10} \text{CosIntegral}(3 x)+\frac{1}{10} \text{CosIntegral}(7 x)-\frac{1}{5} \text{CosIntegral}(2 x) \cos (5 x)",1,"-(Cos[5*x]*CosIntegral[2*x])/5 + CosIntegral[3*x]/10 + CosIntegral[7*x]/10","A",6,4,9,0.4444,1,"{6518, 12, 4429, 3302}"
122,1,29,0,0.0534955,"\int \cos (5 x) \text{CosIntegral}(2 x) \, dx","Int[Cos[5*x]*CosIntegral[2*x],x]","\frac{1}{5} \text{CosIntegral}(2 x) \sin (5 x)-\frac{\text{Si}(3 x)}{10}-\frac{\text{Si}(7 x)}{10}","\frac{1}{5} \text{CosIntegral}(2 x) \sin (5 x)-\frac{\text{Si}(3 x)}{10}-\frac{\text{Si}(7 x)}{10}",1,"(CosIntegral[2*x]*Sin[5*x])/5 - SinIntegral[3*x]/10 - SinIntegral[7*x]/10","A",6,4,9,0.4444,1,"{6512, 12, 4430, 3299}"
123,1,220,0,0.7196716,"\int x^2 \text{CosIntegral}(a+b x) \sin (a+b x) \, dx","Int[x^2*CosIntegral[a + b*x]*Sin[a + b*x],x]","\frac{a^2 \text{CosIntegral}(2 a+2 b x)}{2 b^3}+\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{2 x \text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}+\frac{2 \text{CosIntegral}(a+b x) \cos (a+b x)}{b^3}+\frac{a \text{Si}(2 a+2 b x)}{b^3}-\frac{a x}{2 b^2}-\frac{\log (a+b x)}{b^3}+\frac{\cos ^2(a+b x)}{4 b^3}+\frac{\cos (2 a+2 b x)}{2 b^3}-\frac{a \sin (a+b x) \cos (a+b x)}{2 b^3}+\frac{x \sin (a+b x) \cos (a+b x)}{2 b^2}-\frac{x^2 \text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{x^2}{4 b}","\frac{a^2 \text{CosIntegral}(2 a+2 b x)}{2 b^3}+\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{CosIntegral}(2 a+2 b x)}{b^3}+\frac{2 x \text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}+\frac{2 \text{CosIntegral}(a+b x) \cos (a+b x)}{b^3}+\frac{a \text{Si}(2 a+2 b x)}{b^3}-\frac{a x}{2 b^2}-\frac{\log (a+b x)}{b^3}+\frac{\cos ^2(a+b x)}{4 b^3}+\frac{\cos (2 a+2 b x)}{2 b^3}-\frac{a \sin (a+b x) \cos (a+b x)}{2 b^3}+\frac{x \sin (a+b x) \cos (a+b x)}{2 b^2}-\frac{x^2 \text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{x^2}{4 b}",1,"-(a*x)/(2*b^2) + x^2/(4*b) + Cos[a + b*x]^2/(4*b^3) + Cos[2*a + 2*b*x]/(2*b^3) + (2*Cos[a + b*x]*CosIntegral[a + b*x])/b^3 - (x^2*Cos[a + b*x]*CosIntegral[a + b*x])/b - CosIntegral[2*a + 2*b*x]/b^3 + (a^2*CosIntegral[2*a + 2*b*x])/(2*b^3) - Log[a + b*x]/b^3 + (a^2*Log[a + b*x])/(2*b^3) - (a*Cos[a + b*x]*Sin[a + b*x])/(2*b^3) + (x*Cos[a + b*x]*Sin[a + b*x])/(2*b^2) + (2*x*CosIntegral[a + b*x]*Sin[a + b*x])/b^2 + (a*SinIntegral[2*a + 2*b*x])/b^3","A",21,14,16,0.8750,1,"{6520, 6742, 2635, 8, 3310, 30, 3312, 3302, 6514, 4573, 6741, 2638, 3299, 6518}"
124,1,109,0,0.2292978,"\int x \text{CosIntegral}(a+b x) \sin (a+b x) \, dx","Int[x*CosIntegral[a + b*x]*Sin[a + b*x],x]","-\frac{a \text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}-\frac{\text{Si}(2 a+2 b x)}{2 b^2}-\frac{a \log (a+b x)}{2 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{2 b^2}-\frac{x \text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{x}{2 b}","-\frac{a \text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{b^2}-\frac{\text{Si}(2 a+2 b x)}{2 b^2}-\frac{a \log (a+b x)}{2 b^2}+\frac{\sin (a+b x) \cos (a+b x)}{2 b^2}-\frac{x \text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{x}{2 b}",1,"x/(2*b) - (x*Cos[a + b*x]*CosIntegral[a + b*x])/b - (a*CosIntegral[2*a + 2*b*x])/(2*b^2) - (a*Log[a + b*x])/(2*b^2) + (Cos[a + b*x]*Sin[a + b*x])/(2*b^2) + (CosIntegral[a + b*x]*Sin[a + b*x])/b^2 - SinIntegral[2*a + 2*b*x]/(2*b^2)","A",12,10,14,0.7143,1,"{6520, 6742, 2635, 8, 3312, 3302, 6512, 4406, 12, 3299}"
125,1,47,0,0.076047,"\int \text{CosIntegral}(a+b x) \sin (a+b x) \, dx","Int[CosIntegral[a + b*x]*Sin[a + b*x],x]","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b}-\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{\log (a+b x)}{2 b}","\frac{\text{CosIntegral}(2 a+2 b x)}{2 b}-\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b}+\frac{\log (a+b x)}{2 b}",1,"-((Cos[a + b*x]*CosIntegral[a + b*x])/b) + CosIntegral[2*a + 2*b*x]/(2*b) + Log[a + b*x]/(2*b)","A",4,3,13,0.2308,1,"{6518, 3312, 3302}"
126,0,0,0,0.1314691,"\int \frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{x} \, dx","Int[(CosIntegral[a + b*x]*Sin[a + b*x])/x,x]","\int \frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{x},x\right)",0,"Defer[Int][(CosIntegral[a + b*x]*Sin[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
127,1,185,0,0.5855557,"\int x^2 \cos (a+b x) \text{CosIntegral}(a+b x) \, dx","Int[x^2*Cos[a + b*x]*CosIntegral[a + b*x],x]","-\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}+\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b^3}+\frac{2 x \text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}+\frac{\text{Si}(2 a+2 b x)}{b^3}+\frac{a \log (a+b x)}{b^3}-\frac{\sin (2 a+2 b x)}{8 b^3}-\frac{a \cos (2 a+2 b x)}{4 b^3}+\frac{x \cos (2 a+2 b x)}{4 b^2}-\frac{\sin (a+b x) \cos (a+b x)}{b^3}+\frac{x^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b}-\frac{x}{b^2}","-\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}+\frac{a \text{CosIntegral}(2 a+2 b x)}{b^3}-\frac{2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b^3}+\frac{2 x \text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}+\frac{\text{Si}(2 a+2 b x)}{b^3}+\frac{a \log (a+b x)}{b^3}-\frac{\sin (2 a+2 b x)}{8 b^3}-\frac{a \cos (2 a+2 b x)}{4 b^3}+\frac{x \cos (2 a+2 b x)}{4 b^2}-\frac{\sin (a+b x) \cos (a+b x)}{b^3}+\frac{x^2 \text{CosIntegral}(a+b x) \sin (a+b x)}{b}-\frac{x}{b^2}",1,"-(x/b^2) - (a*Cos[2*a + 2*b*x])/(4*b^3) + (x*Cos[2*a + 2*b*x])/(4*b^2) + (2*x*Cos[a + b*x]*CosIntegral[a + b*x])/b^2 + (a*CosIntegral[2*a + 2*b*x])/b^3 + (a*Log[a + b*x])/b^3 - (Cos[a + b*x]*Sin[a + b*x])/b^3 - (2*CosIntegral[a + b*x]*Sin[a + b*x])/b^3 + (x^2*CosIntegral[a + b*x]*Sin[a + b*x])/b - Sin[2*a + 2*b*x]/(8*b^3) + SinIntegral[2*a + 2*b*x]/b^3 - (a^2*SinIntegral[2*a + 2*b*x])/(2*b^3)","A",21,16,16,1.000,1,"{6514, 4573, 6741, 6742, 2638, 3296, 2637, 3299, 6520, 2635, 8, 3312, 3302, 6512, 4406, 12}"
128,1,96,0,0.2519843,"\int x \cos (a+b x) \text{CosIntegral}(a+b x) \, dx","Int[x*Cos[a + b*x]*CosIntegral[a + b*x],x]","-\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}+\frac{a \text{Si}(2 a+2 b x)}{2 b^2}-\frac{\log (a+b x)}{2 b^2}+\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x \text{CosIntegral}(a+b x) \sin (a+b x)}{b}","-\frac{\text{CosIntegral}(2 a+2 b x)}{2 b^2}+\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{b^2}+\frac{a \text{Si}(2 a+2 b x)}{2 b^2}-\frac{\log (a+b x)}{2 b^2}+\frac{\cos (2 a+2 b x)}{4 b^2}+\frac{x \text{CosIntegral}(a+b x) \sin (a+b x)}{b}",1,"Cos[2*a + 2*b*x]/(4*b^2) + (Cos[a + b*x]*CosIntegral[a + b*x])/b^2 - CosIntegral[2*a + 2*b*x]/(2*b^2) - Log[a + b*x]/(2*b^2) + (x*CosIntegral[a + b*x]*Sin[a + b*x])/b + (a*SinIntegral[2*a + 2*b*x])/(2*b^2)","A",11,9,14,0.6429,1,"{6514, 4573, 6741, 6742, 2638, 3299, 6518, 3312, 3302}"
129,1,33,0,0.0562818,"\int \cos (a+b x) \text{CosIntegral}(a+b x) \, dx","Int[Cos[a + b*x]*CosIntegral[a + b*x],x]","\frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{b}-\frac{\text{Si}(2 a+2 b x)}{2 b}","\frac{\text{CosIntegral}(a+b x) \sin (a+b x)}{b}-\frac{\text{Si}(2 a+2 b x)}{2 b}",1,"(CosIntegral[a + b*x]*Sin[a + b*x])/b - SinIntegral[2*a + 2*b*x]/(2*b)","A",4,4,13,0.3077,1,"{6512, 4406, 12, 3299}"
130,0,0,0,0.07491,"\int \frac{\cos (a+b x) \text{CosIntegral}(a+b x)}{x} \, dx","Int[(Cos[a + b*x]*CosIntegral[a + b*x])/x,x]","\int \frac{\cos (a+b x) \text{CosIntegral}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{CosIntegral}(a+b x) \cos (a+b x)}{x},x\right)",0,"Defer[Int][(Cos[a + b*x]*CosIntegral[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
131,1,371,0,1.0190391,"\int x \text{CosIntegral}(c+d x) \sin (a+b x) \, dx","Int[x*CosIntegral[c + d*x]*Sin[a + b*x],x]","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin (a+b x) \text{CosIntegral}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{x \cos (a+b x) \text{CosIntegral}(c+d x)}{b}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\sin (a+x (b-d)-c)}{2 b (b-d)}+\frac{\sin (a+x (b+d)+c)}{2 b (b+d)}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin (a+b x) \text{CosIntegral}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}-\frac{x \cos (a+b x) \text{CosIntegral}(c+d x)}{b}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\sin (a+x (b-d)-c)}{2 b (b-d)}+\frac{\sin (a+x (b+d)+c)}{2 b (b+d)}",1,"-(c*Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) - (x*Cos[a + b*x]*CosIntegral[c + d*x])/b - (c*Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d) - (CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b^2) - (CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b^2) + (CosIntegral[c + d*x]*Sin[a + b*x])/b^2 + Sin[a - c + (b - d)*x]/(2*b*(b - d)) + Sin[a + c + (b + d)*x]/(2*b*(b + d)) - (Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) + (c*Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) - (Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2) + (c*Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d)","A",24,9,14,0.6429,1,"{6520, 4609, 6742, 2637, 3303, 3299, 3302, 6512, 4430}"
132,1,154,0,0.2216016,"\int \text{CosIntegral}(c+d x) \sin (a+b x) \, dx","Int[CosIntegral[c + d*x]*Sin[a + b*x],x]","\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}-\frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}","\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}-\frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"(Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) - (Cos[a + b*x]*CosIntegral[c + d*x])/b + (Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b) - (Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) - (Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b)","A",9,5,13,0.3846,1,"{6518, 4429, 3303, 3299, 3302}"
133,0,0,0,0.137741,"\int \frac{\text{CosIntegral}(c+d x) \sin (a+b x)}{x} \, dx","Int[(CosIntegral[c + d*x]*Sin[a + b*x])/x,x]","\int \frac{\text{CosIntegral}(c+d x) \sin (a+b x)}{x} \, dx","\text{Int}\left(\frac{\sin (a+b x) \text{CosIntegral}(c+d x)}{x},x\right)",0,"Defer[Int][(CosIntegral[c + d*x]*Sin[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
134,1,370,0,0.801469,"\int x \cos (a+b x) \text{CosIntegral}(c+d x) \, dx","Int[x*Cos[a + b*x]*CosIntegral[c + d*x],x]","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}+\frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{x \sin (a+b x) \text{CosIntegral}(c+d x)}{b}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\cos (a+x (b-d)-c)}{2 b (b-d)}+\frac{\cos (a+x (b+d)+c)}{2 b (b+d)}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b^2}+\frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b d}+\frac{x \sin (a+b x) \text{CosIntegral}(c+d x)}{b}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\cos (a+x (b-d)-c)}{2 b (b-d)}+\frac{\cos (a+x (b+d)+c)}{2 b (b+d)}",1,"Cos[a - c + (b - d)*x]/(2*b*(b - d)) + Cos[a + c + (b + d)*x]/(2*b*(b + d)) - (Cos[a - (b*c)/d]*CosIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) + (Cos[a + b*x]*CosIntegral[c + d*x])/b^2 - (Cos[a - (b*c)/d]*CosIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2) + (c*CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b*d) + (c*CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b*d) + (x*CosIntegral[c + d*x]*Sin[a + b*x])/b + (c*Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b*d) + (Sin[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b^2) + (c*Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b*d) + (Sin[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b^2)","A",24,10,14,0.7143,1,"{6514, 6742, 4574, 2638, 4430, 3303, 3299, 3302, 6518, 4429}"
135,1,153,0,0.2168087,"\int \cos (a+b x) \text{CosIntegral}(c+d x) \, dx","Int[Cos[a + b*x]*CosIntegral[c + d*x],x]","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}+\frac{\sin (a+b x) \text{CosIntegral}(c+d x)}{b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b-d)}{d}+x (b-d)\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{CosIntegral}\left(\frac{c (b+d)}{d}+x (b+d)\right)}{2 b}+\frac{\sin (a+b x) \text{CosIntegral}(c+d x)}{b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"-(CosIntegral[(c*(b - d))/d + (b - d)*x]*Sin[a - (b*c)/d])/(2*b) - (CosIntegral[(c*(b + d))/d + (b + d)*x]*Sin[a - (b*c)/d])/(2*b) + (CosIntegral[c + d*x]*Sin[a + b*x])/b - (Cos[a - (b*c)/d]*SinIntegral[(c*(b - d))/d + (b - d)*x])/(2*b) - (Cos[a - (b*c)/d]*SinIntegral[(c*(b + d))/d + (b + d)*x])/(2*b)","A",9,5,13,0.3846,1,"{6512, 4430, 3303, 3299, 3302}"
136,0,0,0,0.0921269,"\int \frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{x} \, dx","Int[(Cos[a + b*x]*CosIntegral[c + d*x])/x,x]","\int \frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\cos (a+b x) \text{CosIntegral}(c+d x)}{x},x\right)",0,"Defer[Int][(Cos[a + b*x]*CosIntegral[c + d*x])/x, x]","A",0,0,0,0,-1,"{}"