1,1,82,86,0.0653721,"\int x^m \text{Si}(b x) \, dx","Integrate[x^m*SinIntegral[b*x],x]","\frac{x^m \left(b^2 x^2\right)^{-m} \left(2 b x \left(b^2 x^2\right)^m \text{Si}(b x)+(-i b x)^m \Gamma (m+1,i b x)+(i b x)^m \Gamma (m+1,-i b x)\right)}{2 b (m+1)}","\frac{x^{m+1} \text{Si}(b x)}{m+1}+\frac{x^m (-i b x)^{-m} \Gamma (m+1,-i b x)}{2 b (m+1)}+\frac{x^m (i b x)^{-m} \Gamma (m+1,i b x)}{2 b (m+1)}",1,"(x^m*((I*b*x)^m*Gamma[1 + m, (-I)*b*x] + ((-I)*b*x)^m*Gamma[1 + m, I*b*x] + 2*b*x*(b^2*x^2)^m*SinIntegral[b*x]))/(2*b*(1 + m)*(b^2*x^2)^m)","A",1
2,1,50,63,0.0416245,"\int x^3 \text{Si}(b x) \, dx","Integrate[x^3*SinIntegral[b*x],x]","\frac{b^4 x^4 \text{Si}(b x)-3 \left(b^2 x^2-2\right) \sin (b x)+b x \left(b^2 x^2-6\right) \cos (b x)}{4 b^4}","\frac{3 \sin (b x)}{2 b^4}-\frac{3 x \cos (b x)}{2 b^3}-\frac{3 x^2 \sin (b x)}{4 b^2}+\frac{1}{4} x^4 \text{Si}(b x)+\frac{x^3 \cos (b x)}{4 b}",1,"(b*x*(-6 + b^2*x^2)*Cos[b*x] - 3*(-2 + b^2*x^2)*Sin[b*x] + b^4*x^4*SinIntegral[b*x])/(4*b^4)","A",1
3,1,41,49,0.0326321,"\int x^2 \text{Si}(b x) \, dx","Integrate[x^2*SinIntegral[b*x],x]","\frac{b^3 x^3 \text{Si}(b x)+\left(b^2 x^2-2\right) \cos (b x)-2 b x \sin (b x)}{3 b^3}","-\frac{2 \cos (b x)}{3 b^3}-\frac{2 x \sin (b x)}{3 b^2}+\frac{1}{3} x^3 \text{Si}(b x)+\frac{x^2 \cos (b x)}{3 b}",1,"((-2 + b^2*x^2)*Cos[b*x] - 2*b*x*Sin[b*x] + b^3*x^3*SinIntegral[b*x])/(3*b^3)","A",1
4,1,35,35,0.0084848,"\int x \text{Si}(b x) \, dx","Integrate[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",1
5,1,15,15,0.0017814,"\int \text{Si}(b x) \, dx","Integrate[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
6,1,43,43,0.0060915,"\int \frac{\text{Si}(b x)}{x} \, dx","Integrate[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
7,1,25,25,0.0111024,"\int \frac{\text{Si}(b x)}{x^2} \, dx","Integrate[SinIntegral[b*x]/x^2,x]","b \text{Ci}(b x)-\frac{\text{Si}(b x)}{x}-\frac{\sin (b x)}{x}","b \text{Ci}(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",1
8,1,46,46,0.0174379,"\int \frac{\text{Si}(b x)}{x^3} \, dx","Integrate[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,"-1/4*(b*Cos[b*x])/x - Sin[b*x]/(4*x^2) - (b^2*SinIntegral[b*x])/4 - SinIntegral[b*x]/(2*x^2)","A",1
9,0,0,13,3.0299696,"\int x^m \text{Si}(b x)^2 \, dx","Integrate[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,"Integrate[x^m*SinIntegral[b*x]^2, x]","A",-1
10,1,107,149,0.1466758,"\int x^3 \text{Si}(b x)^2 \, dx","Integrate[x^3*SinIntegral[b*x]^2,x]","\frac{2 b^4 x^4 \text{Si}(b x)^2+4 \text{Si}(b x) \left(b x \left(b^2 x^2-6\right) \cos (b x)-3 \left(b^2 x^2-2\right) \sin (b x)\right)+3 b^2 x^2+b^2 x^2 \cos (2 b x)+12 \text{Ci}(2 b x)-4 b x \sin (2 b x)-8 \cos (2 b x)-12 \log (x)}{8 b^4}","\frac{3 \text{Ci}(2 b x)}{2 b^4}+\frac{3 \text{Si}(b x) \sin (b x)}{b^4}-\frac{3 \log (x)}{2 b^4}+\frac{2 \sin ^2(b x)}{b^4}-\frac{3 x \text{Si}(b x) \cos (b x)}{b^3}-\frac{x \sin (b x) \cos (b x)}{b^3}-\frac{3 x^2 \text{Si}(b x) \sin (b x)}{2 b^2}+\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{4 b^2}+\frac{1}{4} x^4 \text{Si}(b x)^2+\frac{x^3 \text{Si}(b x) \cos (b x)}{2 b}",1,"(3*b^2*x^2 - 8*Cos[2*b*x] + b^2*x^2*Cos[2*b*x] + 12*CosIntegral[2*b*x] - 12*Log[x] - 4*b*x*Sin[2*b*x] + 4*(b*x*(-6 + b^2*x^2)*Cos[b*x] - 3*(-2 + b^2*x^2)*Sin[b*x])*SinIntegral[b*x] + 2*b^4*x^4*SinIntegral[b*x]^2)/(8*b^4)","A",1
11,1,78,112,0.0889786,"\int x^2 \text{Si}(b x)^2 \, dx","Integrate[x^2*SinIntegral[b*x]^2,x]","\frac{4 b^3 x^3 \text{Si}(b x)^2+8 \text{Si}(b x) \left(\left(b^2 x^2-2\right) \cos (b x)-2 b x \sin (b x)\right)+8 \text{Si}(2 b x)+8 b x-5 \sin (2 b x)+2 b x \cos (2 b x)}{12 b^3}","\frac{2 \text{Si}(2 b x)}{3 b^3}-\frac{4 \text{Si}(b x) \cos (b x)}{3 b^3}-\frac{5 \sin (b x) \cos (b x)}{6 b^3}-\frac{4 x \text{Si}(b x) \sin (b x)}{3 b^2}+\frac{5 x}{6 b^2}-\frac{x \sin ^2(b x)}{3 b^2}+\frac{1}{3} x^3 \text{Si}(b x)^2+\frac{2 x^2 \text{Si}(b x) \cos (b x)}{3 b}",1,"(8*b*x + 2*b*x*Cos[2*b*x] - 5*Sin[2*b*x] + 8*((-2 + b^2*x^2)*Cos[b*x] - 2*b*x*Sin[b*x])*SinIntegral[b*x] + 4*b^3*x^3*SinIntegral[b*x]^2 + 8*SinIntegral[2*b*x])/(12*b^3)","A",1
12,1,58,74,0.0572721,"\int x \text{Si}(b x)^2 \, dx","Integrate[x*SinIntegral[b*x]^2,x]","\frac{2 b^2 x^2 \text{Si}(b x)^2-2 \text{Ci}(2 b x)+4 \text{Si}(b x) (b x \cos (b x)-\sin (b x))+\cos (2 b x)+2 \log (x)}{4 b^2}","-\frac{\text{Ci}(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,"(Cos[2*b*x] - 2*CosIntegral[2*b*x] + 2*Log[x] + 4*(b*x*Cos[b*x] - Sin[b*x])*SinIntegral[b*x] + 2*b^2*x^2*SinIntegral[b*x]^2)/(4*b^2)","A",1
13,1,32,32,0.0080519,"\int \text{Si}(b x)^2 \, dx","Integrate[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",1
14,0,0,13,0.4912582,"\int \frac{\text{Si}(b x)^2}{x} \, dx","Integrate[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,"Integrate[SinIntegral[b*x]^2/x, x]","A",-1
15,0,0,13,0.5119699,"\int \frac{\text{Si}(b x)^2}{x^2} \, dx","Integrate[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,"Integrate[SinIntegral[b*x]^2/x^2, x]","A",-1
16,0,0,13,0.5947944,"\int \frac{\text{Si}(b x)^2}{x^3} \, dx","Integrate[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,"Integrate[SinIntegral[b*x]^2/x^3, x]","A",-1
17,0,0,48,4.7736332,"\int x^m \text{Si}(a+b x) \, dx","Integrate[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,"Integrate[x^m*SinIntegral[a + b*x], x]","A",-1
18,1,96,184,0.2407048,"\int x^3 \text{Si}(a+b x) \, dx","Integrate[x^3*SinIntegral[a + b*x],x]","\frac{\left(b^4 x^4-a^4\right) \text{Si}(a+b x)-\left(a^2-2 a b x+3 b^2 x^2-6\right) \sin (a+b x)+\left(-a^3+a^2 b x-a b^2 x^2+2 a+b^3 x^3-6 b x\right) \cos (a+b x)}{4 b^4}","-\frac{a^4 \text{Si}(a+b x)}{4 b^4}-\frac{a^3 \cos (a+b x)}{4 b^4}-\frac{a^2 \sin (a+b x)}{4 b^4}+\frac{a^2 x \cos (a+b x)}{4 b^3}+\frac{3 \sin (a+b x)}{2 b^4}+\frac{a \cos (a+b x)}{2 b^4}+\frac{a x \sin (a+b x)}{2 b^3}-\frac{3 x \cos (a+b x)}{2 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{1}{4} x^4 \text{Si}(a+b x)+\frac{x^3 \cos (a+b x)}{4 b}",1,"((2*a - a^3 - 6*b*x + a^2*b*x - a*b^2*x^2 + b^3*x^3)*Cos[a + b*x] - (-6 + a^2 - 2*a*b*x + 3*b^2*x^2)*Sin[a + b*x] + (-a^4 + b^4*x^4)*SinIntegral[a + b*x])/(4*b^4)","A",1
19,1,63,118,0.1813102,"\int x^2 \text{Si}(a+b x) \, dx","Integrate[x^2*SinIntegral[a + b*x],x]","\frac{\left(a^3+b^3 x^3\right) \text{Si}(a+b x)+\left(a^2-a b x+b^2 x^2-2\right) \cos (a+b x)+(a-2 b x) \sin (a+b x)}{3 b^3}","\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 \cos (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{1}{3} x^3 \text{Si}(a+b x)+\frac{x^2 \cos (a+b x)}{3 b}",1,"((-2 + a^2 - a*b*x + b^2*x^2)*Cos[a + b*x] + (a - 2*b*x)*Sin[a + b*x] + (a^3 + b^3*x^3)*SinIntegral[a + b*x])/(3*b^3)","A",1
20,1,50,71,0.1152684,"\int x \text{Si}(a+b x) \, dx","Integrate[x*SinIntegral[a + b*x],x]","\frac{\left(b^2 x^2-a^2\right) \text{Si}(a+b x)-\sin (a+b x)+(b x-a) \cos (a+b x)}{2 b^2}","-\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 + b*x)*Cos[a + b*x] - Sin[a + b*x] + (-a^2 + b^2*x^2)*SinIntegral[a + b*x])/(2*b^2)","A",1
21,1,41,26,0.0482271,"\int \text{Si}(a+b x) \, dx","Integrate[SinIntegral[a + b*x],x]","x \text{Si}(a+b x)+\frac{a \text{Si}(a+b x)}{b}-\frac{\sin (a) \sin (b x)}{b}+\frac{\cos (a) \cos (b x)}{b}","\frac{(a+b x) \text{Si}(a+b x)}{b}+\frac{\cos (a+b x)}{b}",1,"(Cos[a]*Cos[b*x])/b - (Sin[a]*Sin[b*x])/b + (a*SinIntegral[a + b*x])/b + x*SinIntegral[a + b*x]","A",1
22,0,0,13,0.7526255,"\int \frac{\text{Si}(a+b x)}{x} \, dx","Integrate[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,"Integrate[SinIntegral[a + b*x]/x, x]","A",-1
23,1,39,46,0.0804739,"\int \frac{\text{Si}(a+b x)}{x^2} \, dx","Integrate[SinIntegral[a + b*x]/x^2,x]","\frac{b x \sin (a) \text{Ci}(b x)-(a+b x) \text{Si}(a+b x)+b x \cos (a) \text{Si}(b x)}{a x}","\frac{b \sin (a) \text{Ci}(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*x*CosIntegral[b*x]*Sin[a] + b*x*Cos[a]*SinIntegral[b*x] - (a + b*x)*SinIntegral[a + b*x])/(a*x)","A",1
24,1,84,111,0.3813166,"\int \frac{\text{Si}(a+b x)}{x^3} \, dx","Integrate[SinIntegral[a + b*x]/x^3,x]","-\frac{a^2 \text{Si}(a+b x)-b^2 x^2 (a \cos (a)-\sin (a)) \text{Ci}(b x)-b^2 x^2 \text{Si}(a+b x)+b^2 x^2 (a \sin (a)+\cos (a)) \text{Si}(b x)+a b x \sin (a+b x)}{2 a^2 x^2}","-\frac{b^2 \sin (a) \text{Ci}(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{Ci}(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,"-1/2*(-(b^2*x^2*CosIntegral[b*x]*(a*Cos[a] - Sin[a])) + a*b*x*Sin[a + b*x] + b^2*x^2*(Cos[a] + a*Sin[a])*SinIntegral[b*x] + a^2*SinIntegral[a + b*x] - b^2*x^2*SinIntegral[a + b*x])/(a^2*x^2)","A",1
25,0,0,15,5.317474,"\int x^m \text{Si}(a+b x)^2 \, dx","Integrate[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,"Integrate[x^m*SinIntegral[a + b*x]^2, x]","A",-1
26,1,158,329,1.9140049,"\int x^2 \text{Si}(a+b x)^2 \, dx","Integrate[x^2*SinIntegral[a + b*x]^2,x]","\frac{4 \left(a^3+b^3 x^3\right) \text{Si}(a+b x)^2+8 \text{Si}(a+b x) \left(\left(a^2-a b x+b^2 x^2-2\right) \cos (a+b x)+(a-2 b x) \sin (a+b x)\right)-12 a^2 \text{Si}(2 (a+b x))+12 a \text{Ci}(2 (a+b x))+8 \text{Si}(2 (a+b x))-12 a \log (a+b x)-5 \sin (2 (a+b x))-4 a \cos (2 (a+b x))+2 b x \cos (2 (a+b x))+8 a+8 b x}{12 b^3}","\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{Ci}(2 a+2 b x)}{b^3}+\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 \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{2 \sin (a+b x) \cos (a+b x)}{3 b^3}-\frac{a x (a+b x) \text{Si}(a+b x)^2}{3 b^2}-\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{x \cos (2 a+2 b x)}{6 b^2}+\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,"(8*a + 8*b*x - 4*a*Cos[2*(a + b*x)] + 2*b*x*Cos[2*(a + b*x)] + 12*a*CosIntegral[2*(a + b*x)] - 12*a*Log[a + b*x] - 5*Sin[2*(a + b*x)] + 8*((-2 + a^2 - a*b*x + b^2*x^2)*Cos[a + b*x] + (a - 2*b*x)*Sin[a + b*x])*SinIntegral[a + b*x] + 4*(a^3 + b^3*x^3)*SinIntegral[a + b*x]^2 + 8*SinIntegral[2*(a + b*x)] - 12*a^2*SinIntegral[2*(a + b*x)])/(12*b^3)","A",1
27,1,95,154,0.3049812,"\int x \text{Si}(a+b x)^2 \, dx","Integrate[x*SinIntegral[a + b*x]^2,x]","\frac{-2 \left(a^2-b^2 x^2\right) \text{Si}(a+b x)^2-2 \text{Ci}(2 (a+b x))+4 a \text{Si}(2 (a+b x))-4 \text{Si}(a+b x) (\sin (a+b x)+(a-b x) \cos (a+b x))+2 \log (a+b x)+\cos (2 (a+b x))}{4 b^2}","-\frac{\text{Ci}(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 + b*x)] - 2*CosIntegral[2*(a + b*x)] + 2*Log[a + b*x] - 4*((a - b*x)*Cos[a + b*x] + Sin[a + b*x])*SinIntegral[a + b*x] - 2*(a^2 - b^2*x^2)*SinIntegral[a + b*x]^2 + 4*a*SinIntegral[2*(a + b*x)])/(4*b^2)","A",1
28,1,43,49,0.0156676,"\int \text{Si}(a+b x)^2 \, dx","Integrate[SinIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{Si}(a+b x)^2-\text{Si}(2 (a+b x))+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] + (a + b*x)*SinIntegral[a + b*x]^2 - SinIntegral[2*(a + b*x)])/b","A",1
29,0,0,15,3.8773973,"\int \frac{\text{Si}(a+b x)^2}{x} \, dx","Integrate[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,"Integrate[SinIntegral[a + b*x]^2/x, x]","A",-1
30,0,0,15,5.0553866,"\int \frac{\text{Si}(a+b x)^2}{x^2} \, dx","Integrate[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,"Integrate[SinIntegral[a + b*x]^2/x^2, x]","A",-1
31,0,0,15,3.1055306,"\int \frac{\text{Si}(a+b x)^2}{x^3} \, dx","Integrate[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,"Integrate[SinIntegral[a + b*x]^2/x^3, x]","A",-1
32,1,106,137,1.9470063,"\int x^2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x^2*SinIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{6} x^3 \left(2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-i e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(\text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b 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,"(x^3*(((-I)*(ExpIntegralEi[((3 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[((3 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(E^((3*a)/(b*n))*(c*x^n)^(3/n)) + 2*SinIntegral[d*(a + b*Log[c*x^n])]))/6","A",1
33,1,106,137,1.9304277,"\int x \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x*SinIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{4} x^2 \left(2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-i e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(\text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b 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,"(x^2*(((-I)*(ExpIntegralEi[((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(E^((2*a)/(b*n))*(c*x^n)^(2/n)) + 2*SinIntegral[d*(a + b*Log[c*x^n])]))/4","A",1
34,1,102,128,1.9355465,"\int \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[SinIntegral[d*(a + b*Log[c*x^n])],x]","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} \left(\text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\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,"((-1/2*I)*x*(ExpIntegralEi[((1 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - 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",1
35,1,95,54,0.0784987,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Integrate[SinIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{\log \left(c x^n\right) \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{n}+\frac{a \text{Si}\left(a d+b \log \left(c x^n\right) d\right)}{b n}-\frac{\sin (a d) \sin \left(b d \log \left(c x^n\right)\right)}{b d n}+\frac{\cos (a d) \cos \left(b d \log \left(c x^n\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[a*d]*Cos[b*d*Log[c*x^n]])/(b*d*n) - (Sin[a*d]*Sin[b*d*Log[c*x^n]])/(b*d*n) + (Log[c*x^n]*SinIntegral[d*(a + b*Log[c*x^n])])/n + (a*SinIntegral[a*d + b*d*Log[c*x^n]])/(b*n)","A",1
36,1,107,131,1.9507666,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Integrate[SinIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{-2 \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)+i e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(\text{Ei}\left(-\frac{i (b d n-i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{i (b d n+i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)}{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}",1,"(I*E^(a/(b*n))*(c*x^n)^n^(-1)*(ExpIntegralEi[((-I)*(-I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[(I*(I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]) - 2*SinIntegral[d*(a + b*Log[c*x^n])])/(2*x)","A",1
37,1,111,139,1.9281136,"\int \frac{\text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Integrate[SinIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{i \left(e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(\text{Ei}\left(-\frac{i (b d n-2 i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{i (b d n+2 i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)+2 i \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)\right)}{4 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[((-I)*(-2*I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[(I*(2*I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]) + (2*I)*SinIntegral[d*(a + b*Log[c*x^n])]))/x^2","A",1
38,1,128,176,3.4526711,"\int (e x)^m \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[(e*x)^m*SinIntegral[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^m \left(2 x \text{Si}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-i x^{-m} \exp \left(-\frac{(m+1) \left(a+b \log \left(c x^n\right)-b n \log (x)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)\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{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,"((e*x)^m*(((-I)*(ExpIntegralEi[((1 + m - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[((1 + m + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(E^(((1 + m)*(a - b*n*Log[x] + b*Log[c*x^n]))/(b*n))*x^m) + 2*x*SinIntegral[d*(a + b*Log[c*x^n])]))/(2*(1 + m))","A",1
39,0,0,96,1.1462369,"\int \frac{\sin (b x) \text{Si}(b x)}{x^3} \, dx","Integrate[(Sin[b*x]*SinIntegral[b*x])/x^3,x]","\int \frac{\sin (b x) \text{Si}(b x)}{x^3} \, dx","b^2 \text{Ci}(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,"Integrate[(Sin[b*x]*SinIntegral[b*x])/x^3, x]","F",-1
40,0,0,49,0.902731,"\int \frac{\sin (b x) \text{Si}(b x)}{x^2} \, dx","Integrate[(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,"Integrate[(Sin[b*x]*SinIntegral[b*x])/x^2, x]","A",-1
41,1,26,10,0.019257,"\int \frac{\sin (b x) \text{Si}(b x)}{x} \, dx","Integrate[(Sin[b*x]*SinIntegral[b*x])/x,x]","\frac{\text{Si}(b x)^2 \sin (b x)}{2 b x \text{sinc}(b x)}","\frac{\text{Si}(b x)^2}{2}",1,"(Sin[b*x]*SinIntegral[b*x]^2)/(2*b*x*Sinc[b*x])","C",0
42,1,26,26,0.0136672,"\int \sin (b x) \text{Si}(b x) \, dx","Integrate[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",1
43,1,44,61,0.0997767,"\int x \sin (b x) \text{Si}(b x) \, dx","Integrate[x*Sin[b*x]*SinIntegral[b*x],x]","-\frac{-2 \text{Ci}(2 b x)+4 \text{Si}(b x) (b x \cos (b x)-\sin (b x))+\cos (2 b x)+2 \log (x)}{4 b^2}","\frac{\text{Ci}(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,"-1/4*(Cos[2*b*x] - 2*CosIntegral[2*b*x] + 2*Log[x] + 4*(b*x*Cos[b*x] - Sin[b*x])*SinIntegral[b*x])/b^2","A",1
44,1,64,91,0.108501,"\int x^2 \sin (b x) \text{Si}(b x) \, dx","Integrate[x^2*Sin[b*x]*SinIntegral[b*x],x]","-\frac{8 \text{Si}(b x) \left(\left(b^2 x^2-2\right) \cos (b x)-2 b x \sin (b x)\right)+8 \text{Si}(2 b x)+8 b x-5 \sin (2 b x)+2 b x \cos (2 b x)}{8 b^3}","-\frac{\text{Si}(2 b x)}{b^3}+\frac{2 \text{Si}(b x) \cos (b x)}{b^3}+\frac{5 \sin (b x) \cos (b x)}{4 b^3}+\frac{2 x \text{Si}(b x) \sin (b x)}{b^2}-\frac{5 x}{4 b^2}+\frac{x \sin ^2(b x)}{2 b^2}-\frac{x^2 \text{Si}(b x) \cos (b x)}{b}",1,"-1/8*(8*b*x + 2*b*x*Cos[2*b*x] - 5*Sin[2*b*x] + 8*((-2 + b^2*x^2)*Cos[b*x] - 2*b*x*Sin[b*x])*SinIntegral[b*x] + 8*SinIntegral[2*b*x])/b^3","A",1
45,1,93,126,0.2245959,"\int x^3 \sin (b x) \text{Si}(b x) \, dx","Integrate[x^3*Sin[b*x]*SinIntegral[b*x],x]","-\frac{4 \text{Si}(b x) \left(b x \left(b^2 x^2-6\right) \cos (b x)-3 \left(b^2 x^2-2\right) \sin (b x)\right)+3 b^2 x^2+b^2 x^2 \cos (2 b x)+12 \text{Ci}(2 b x)-4 b x \sin (2 b x)-8 \cos (2 b x)-12 \log (x)}{4 b^4}","-\frac{3 \text{Ci}(2 b x)}{b^4}-\frac{6 \text{Si}(b x) \sin (b x)}{b^4}+\frac{3 \log (x)}{b^4}-\frac{4 \sin ^2(b x)}{b^4}+\frac{6 x \text{Si}(b x) \cos (b x)}{b^3}+\frac{2 x \sin (b x) \cos (b x)}{b^3}+\frac{3 x^2 \text{Si}(b x) \sin (b x)}{b^2}-\frac{x^2}{b^2}+\frac{x^2 \sin ^2(b x)}{2 b^2}-\frac{x^3 \text{Si}(b x) \cos (b x)}{b}",1,"-1/4*(3*b^2*x^2 - 8*Cos[2*b*x] + b^2*x^2*Cos[2*b*x] + 12*CosIntegral[2*b*x] - 12*Log[x] - 4*b*x*Sin[2*b*x] + 4*(b*x*(-6 + b^2*x^2)*Cos[b*x] - 3*(-2 + b^2*x^2)*Sin[b*x])*SinIntegral[b*x])/b^4","A",1
46,0,0,103,0.9458978,"\int \frac{\cos (b x) \text{Si}(b x)}{x^3} \, dx","Integrate[(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,"Integrate[(Cos[b*x]*SinIntegral[b*x])/x^3, x]","A",-1
47,0,0,44,0.6942841,"\int \frac{\cos (b x) \text{Si}(b x)}{x^2} \, dx","Integrate[(Cos[b*x]*SinIntegral[b*x])/x^2,x]","\int \frac{\cos (b x) \text{Si}(b x)}{x^2} \, dx","b \text{Ci}(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,"Integrate[(Cos[b*x]*SinIntegral[b*x])/x^2, x]","F",-1
48,0,0,15,1.0432179,"\int \frac{\cos (b x) \text{Si}(b x)}{x} \, dx","Integrate[(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,"Integrate[(Cos[b*x]*SinIntegral[b*x])/x, x]","A",-1
49,1,36,34,0.0134505,"\int \cos (b x) \text{Si}(b x) \, dx","Integrate[Cos[b*x]*SinIntegral[b*x],x]","\frac{\text{Ci}(2 b x)}{2 b}+\frac{\text{Si}(b x) \sin (b x)}{b}-\frac{\log (b x)}{2 b}","\frac{\text{Ci}(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[b*x]/(2*b) + (Sin[b*x]*SinIntegral[b*x])/b","A",0
50,1,42,61,0.069004,"\int x \cos (b x) \text{Si}(b x) \, dx","Integrate[x*Cos[b*x]*SinIntegral[b*x],x]","\frac{-2 \text{Si}(2 b x)+4 \text{Si}(b x) (b x \sin (b x)+\cos (b x))-2 b x+\sin (2 b x)}{4 b^2}","-\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,"(-2*b*x + Sin[2*b*x] + 4*(Cos[b*x] + b*x*Sin[b*x])*SinIntegral[b*x] - 2*SinIntegral[2*b*x])/(4*b^2)","A",1
51,1,72,98,0.1097794,"\int x^2 \cos (b x) \text{Si}(b x) \, dx","Integrate[x^2*Cos[b*x]*SinIntegral[b*x],x]","\frac{8 \text{Si}(b x) \left(\left(b^2 x^2-2\right) \sin (b x)+2 b x \cos (b x)\right)-2 b^2 x^2-8 \text{Ci}(2 b x)+2 b x \sin (2 b x)+5 \cos (2 b x)+8 \log (x)}{8 b^3}","-\frac{\text{Ci}(2 b x)}{b^3}-\frac{2 \text{Si}(b x) \sin (b x)}{b^3}+\frac{\log (x)}{b^3}-\frac{5 \sin ^2(b x)}{4 b^3}+\frac{2 x \text{Si}(b x) \cos (b x)}{b^2}+\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,"(-2*b^2*x^2 + 5*Cos[2*b*x] - 8*CosIntegral[2*b*x] + 8*Log[x] + 2*b*x*Sin[2*b*x] + 8*(2*b*x*Cos[b*x] + (-2 + b^2*x^2)*Sin[b*x])*SinIntegral[b*x])/(8*b^3)","A",1
52,1,94,128,0.1333296,"\int x^3 \cos (b x) \text{Si}(b x) \, dx","Integrate[x^3*Cos[b*x]*SinIntegral[b*x],x]","\frac{-2 b^3 x^3+12 \text{Si}(b x) \left(b x \left(b^2 x^2-6\right) \sin (b x)+3 \left(b^2 x^2-2\right) \cos (b x)\right)+3 b^2 x^2 \sin (2 b x)+36 \text{Si}(2 b x)+36 b x-24 \sin (2 b x)+12 b x \cos (2 b x)}{12 b^4}","\frac{3 \text{Si}(2 b x)}{b^4}-\frac{6 \text{Si}(b x) \cos (b x)}{b^4}-\frac{4 \sin (b x) \cos (b x)}{b^4}-\frac{6 x \text{Si}(b x) \sin (b x)}{b^3}+\frac{4 x}{b^3}-\frac{2 x \sin ^2(b x)}{b^3}+\frac{3 x^2 \text{Si}(b x) \cos (b x)}{b^2}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}+\frac{x^3 \text{Si}(b x) \sin (b x)}{b}-\frac{x^3}{6 b}",1,"(36*b*x - 2*b^3*x^3 + 12*b*x*Cos[2*b*x] - 24*Sin[2*b*x] + 3*b^2*x^2*Sin[2*b*x] + 12*(3*(-2 + b^2*x^2)*Cos[b*x] + b*x*(-6 + b^2*x^2)*Sin[b*x])*SinIntegral[b*x] + 36*SinIntegral[2*b*x])/(12*b^4)","A",1
53,1,25,29,0.0360924,"\int \sin (5 x) \text{Si}(2 x) \, dx","Integrate[Sin[5*x]*SinIntegral[2*x],x]","\frac{1}{10} (-\text{Si}(3 x)+\text{Si}(7 x)-2 \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,"(-2*Cos[5*x]*SinIntegral[2*x] - SinIntegral[3*x] + SinIntegral[7*x])/10","A",1
54,1,25,29,0.0372116,"\int \cos (5 x) \text{Si}(2 x) \, dx","Integrate[Cos[5*x]*SinIntegral[2*x],x]","\frac{1}{10} (-\text{Ci}(3 x)+\text{Ci}(7 x)+2 \text{Si}(2 x) \sin (5 x))","-\frac{\text{Ci}(3 x)}{10}+\frac{\text{Ci}(7 x)}{10}+\frac{1}{5} \text{Si}(2 x) \sin (5 x)",1,"(-CosIntegral[3*x] + CosIntegral[7*x] + 2*Sin[5*x]*SinIntegral[2*x])/10","A",1
55,1,123,187,0.4082202,"\int x^2 \sin (a+b x) \text{Si}(a+b x) \, dx","Integrate[x^2*Sin[a + b*x]*SinIntegral[a + b*x],x]","\frac{4 a^2 \text{Si}(2 (a+b x))-8 \text{Si}(a+b x) \left(\left(b^2 x^2-2\right) \cos (a+b x)-2 b x \sin (a+b x)\right)-8 a \text{Ci}(2 (a+b x))-8 \text{Si}(2 (a+b x))+8 a \log (a+b x)+5 \sin (2 (a+b x))+2 a \cos (2 (a+b x))-2 b x \cos (2 (a+b x))-8 b x}{8 b^3}","\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}-\frac{a \text{Ci}(2 a+2 b x)}{b^3}-\frac{\text{Si}(2 a+2 b x)}{b^3}+\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{\sin (a+b x) \cos (a+b x)}{b^3}+\frac{2 x \text{Si}(a+b x) \sin (a+b x)}{b^2}-\frac{x \cos (2 a+2 b x)}{4 b^2}-\frac{x^2 \text{Si}(a+b x) \cos (a+b x)}{b}-\frac{x}{b^2}",1,"(-8*b*x + 2*a*Cos[2*(a + b*x)] - 2*b*x*Cos[2*(a + b*x)] - 8*a*CosIntegral[2*(a + b*x)] + 8*a*Log[a + b*x] + 5*Sin[2*(a + b*x)] - 8*((-2 + b^2*x^2)*Cos[a + b*x] - 2*b*x*Sin[a + b*x])*SinIntegral[a + b*x] - 8*SinIntegral[2*(a + b*x)] + 4*a^2*SinIntegral[2*(a + b*x)])/(8*b^3)","A",1
56,1,71,97,0.3020409,"\int x \sin (a+b x) \text{Si}(a+b x) \, dx","Integrate[x*Sin[a + b*x]*SinIntegral[a + b*x],x]","-\frac{-2 \text{Ci}(2 (a+b x))+2 a \text{Si}(2 (a+b x))+4 \text{Si}(a+b x) (b x \cos (a+b x)-\sin (a+b x))+2 \log (a+b x)+\cos (2 (a+b x))}{4 b^2}","\frac{\text{Ci}(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,"-1/4*(Cos[2*(a + b*x)] - 2*CosIntegral[2*(a + b*x)] + 2*Log[a + b*x] + 4*(b*x*Cos[a + b*x] - Sin[a + b*x])*SinIntegral[a + b*x] + 2*a*SinIntegral[2*(a + b*x)])/b^2","A",1
57,1,33,34,0.0224252,"\int \sin (a+b x) \text{Si}(a+b x) \, dx","Integrate[Sin[a + b*x]*SinIntegral[a + b*x],x]","\frac{\text{Si}(2 (a+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 + b*x)]/(2*b)","A",1
58,0,0,19,5.3293976,"\int \frac{\sin (a+b x) \text{Si}(a+b x)}{x} \, dx","Integrate[(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,"Integrate[(Sin[a + b*x]*SinIntegral[a + b*x])/x, x]","A",-1
59,1,134,218,0.4120303,"\int x^2 \cos (a+b x) \text{Si}(a+b x) \, dx","Integrate[x^2*Cos[a + b*x]*SinIntegral[a + b*x],x]","\frac{4 \left(a^2-2\right) \text{Ci}(2 (a+b x))-4 a^2 \log (a+b x)+8 \text{Si}(a+b x) \left(\left(b^2 x^2-2\right) \sin (a+b x)+2 b x \cos (a+b x)\right)+8 a \text{Si}(2 (a+b x))+4 a b x+8 \log (a+b x)-2 a \sin (2 (a+b x))+2 b x \sin (2 (a+b x))+5 \cos (2 (a+b x))-2 b^2 x^2}{8 b^3}","\frac{a^2 \text{Ci}(2 a+2 b x)}{2 b^3}-\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{Ci}(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{\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{2 x \text{Si}(a+b x) \cos (a+b x)}{b^2}+\frac{a x}{2 b^2}+\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,"(4*a*b*x - 2*b^2*x^2 + 5*Cos[2*(a + b*x)] + 4*(-2 + a^2)*CosIntegral[2*(a + b*x)] + 8*Log[a + b*x] - 4*a^2*Log[a + b*x] - 2*a*Sin[2*(a + b*x)] + 2*b*x*Sin[2*(a + b*x)] + 8*(2*b*x*Cos[a + b*x] + (-2 + b^2*x^2)*Sin[a + b*x])*SinIntegral[a + b*x] + 8*a*SinIntegral[2*(a + b*x)])/(8*b^3)","A",1
60,1,74,108,0.2331438,"\int x \cos (a+b x) \text{Si}(a+b x) \, dx","Integrate[x*Cos[a + b*x]*SinIntegral[a + b*x],x]","\frac{-2 a \text{Ci}(2 (a+b x))-2 \text{Si}(2 (a+b x))+4 \text{Si}(a+b x) (b x \sin (a+b x)+\cos (a+b x))+2 a \log (a+b x)+\sin (2 (a+b x))-2 b x}{4 b^2}","-\frac{a \text{Ci}(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,"(-2*b*x - 2*a*CosIntegral[2*(a + b*x)] + 2*a*Log[a + b*x] + Sin[2*(a + b*x)] + 4*(Cos[a + b*x] + b*x*Sin[a + b*x])*SinIntegral[a + b*x] - 2*SinIntegral[2*(a + b*x)])/(4*b^2)","A",1
61,1,45,46,0.0316731,"\int \cos (a+b x) \text{Si}(a+b x) \, dx","Integrate[Cos[a + b*x]*SinIntegral[a + b*x],x]","\frac{\text{Ci}(2 (a+b x))}{2 b}+\frac{\text{Si}(a+b x) \sin (a+b x)}{b}-\frac{\log (a+b x)}{2 b}","\frac{\text{Ci}(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 + b*x)]/(2*b) - Log[a + b*x]/(2*b) + (Sin[a + b*x]*SinIntegral[a + b*x])/b","A",1
62,0,0,19,2.7833556,"\int \frac{\cos (a+b x) \text{Si}(a+b x)}{x} \, dx","Integrate[(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,"Integrate[(Cos[a + b*x]*SinIntegral[a + b*x])/x, x]","A",-1
63,1,345,371,5.9964271,"\int x \sin (a+b x) \text{Si}(c+d x) \, dx","Integrate[x*Sin[a + b*x]*SinIntegral[c + d*x],x]","\frac{e^{-i (a+c)} \left(-i (b c-i d) e^{\frac{i (d (2 a+c)-b c)}{d}} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)+b d \left(\frac{e^{i (2 a+b x-d x)}}{b-d}-\frac{e^{-i x (b+d)}}{b+d}\right)+(d-i b c) e^{\frac{i c (b+d)}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right)}{4 b^2 d}+\frac{e^{-i (a-c)} \left((d+i b c) e^{-\frac{i (-2 a d+b c+c d)}{d}} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)+b d \left(\frac{e^{-i x (b-d)}}{b-d}-\frac{e^{i (2 a+x (b+d))}}{b+d}\right)+i (b c+i d) e^{\frac{i c (b-d)}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)\right)}{4 b^2 d}-\frac{\text{Si}(c+d x) (b x \cos (a+b x)-\sin (a+b x))}{b^2}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{\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{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}-\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Ci}\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{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,"(b*d*(-(1/((b + d)*E^(I*(b + d)*x))) + E^(I*(2*a + b*x - d*x))/(b - d)) - I*(b*c - I*d)*E^((I*(-(b*c) + (2*a + c)*d))/d)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d] + ((-I)*b*c + d)*E^((I*c*(b + d))/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d])/(4*b^2*d*E^(I*(a + c))) + (b*d*(1/((b - d)*E^(I*(b - d)*x)) - E^(I*(2*a + (b + d)*x))/(b + d)) + I*(b*c + I*d)*E^((I*c*(b - d))/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d] + ((I*b*c + d)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d])/E^((I*(b*c - 2*a*d + c*d))/d))/(4*b^2*d*E^(I*(a - c))) - ((b*x*Cos[a + b*x] - Sin[a + b*x])*SinIntegral[c + d*x])/b^2","C",0
64,1,168,154,2.1093193,"\int \sin (a+b x) \text{Si}(c+d x) \, dx","Integrate[Sin[a + b*x]*SinIntegral[c + d*x],x]","\frac{i e^{-\frac{i (a d+b c)}{d}} \left(e^{2 i a} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)-e^{2 i a} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)+4 i e^{\frac{i (a d+b c)}{d}} \cos (a+b x) \text{Si}(c+d x)-e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)+e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right)}{4 b}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\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{\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,"((I/4)*(-(E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d]) + E^((2*I)*a)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d] + E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d] - E^((2*I)*a)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d] + (4*I)*E^((I*(b*c + a*d))/d)*Cos[a + b*x]*SinIntegral[c + d*x]))/(b*E^((I*(b*c + a*d))/d))","C",0
65,0,0,19,31.157889,"\int \frac{\sin (a+b x) \text{Si}(c+d x)}{x} \, dx","Integrate[(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,"Integrate[(Sin[a + b*x]*SinIntegral[c + d*x])/x, x]","A",-1
66,1,343,370,5.7250613,"\int x \cos (a+b x) \text{Si}(c+d x) \, dx","Integrate[x*Cos[a + b*x]*SinIntegral[c + d*x],x]","-\frac{e^{-i (a+c)} \left((-b c+i d) e^{\frac{i (d (2 a+c)-b c)}{d}} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)-i b d \left(\frac{e^{i (2 a+x (b-d))}}{b-d}+\frac{e^{-i x (b+d)}}{b+d}\right)+(b c+i d) e^{\frac{i c (b+d)}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right)}{4 b^2 d}+\frac{e^{-i (a-c)} \left((-b c+i d) e^{2 i a-\frac{i c (b+d)}{d}} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)-i b d \left(\frac{e^{i (2 a+x (b+d))}}{b+d}+\frac{e^{-i x (b-d)}}{b-d}\right)+(b c+i d) e^{\frac{i c (b-d)}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)\right)}{4 b^2 d}+\frac{\text{Si}(c+d x) (b x \sin (a+b x)+\cos (a+b x))}{b^2}","\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\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{\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{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{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,"-1/4*((-I)*b*d*(1/((b + d)*E^(I*(b + d)*x)) + E^(I*(2*a + (b - d)*x))/(b - d)) + (-(b*c) + I*d)*E^((I*(-(b*c) + (2*a + c)*d))/d)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d] + (b*c + I*d)*E^((I*c*(b + d))/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d])/(b^2*d*E^(I*(a + c))) + ((-I)*b*d*(1/((b - d)*E^(I*(b - d)*x)) + E^(I*(2*a + (b + d)*x))/(b + d)) + (b*c + I*d)*E^((I*c*(b - d))/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d] + (-(b*c) + I*d)*E^((2*I)*a - (I*c*(b + d))/d)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d])/(4*b^2*d*E^(I*(a - c))) + ((Cos[a + b*x] + b*x*Sin[a + b*x])*SinIntegral[c + d*x])/b^2","C",0
67,1,164,153,1.9111336,"\int \cos (a+b x) \text{Si}(c+d x) \, dx","Integrate[Cos[a + b*x]*SinIntegral[c + d*x],x]","\frac{e^{-\frac{i (a d+b c)}{d}} \left(-e^{2 i a} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)+e^{2 i a} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)+4 e^{\frac{i (a d+b c)}{d}} \sin (a+b x) \text{Si}(c+d x)-e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)+e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right)}{4 b}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{\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,"(-(E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d]) - E^((2*I)*a)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d] + E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d] + E^((2*I)*a)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d] + 4*E^((I*(b*c + a*d))/d)*Sin[a + b*x]*SinIntegral[c + d*x])/(4*b*E^((I*(b*c + a*d))/d))","C",0
68,0,0,19,13.5124665,"\int \frac{\cos (a+b x) \text{Si}(c+d x)}{x} \, dx","Integrate[(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,"Integrate[(Cos[a + b*x]*SinIntegral[c + d*x])/x, x]","A",-1
69,1,78,90,0.1091238,"\int x^m \text{Ci}(b x) \, dx","Integrate[x^m*CosIntegral[b*x],x]","\frac{x^m \left(2 x \text{Ci}(b x)+\frac{i \left(b^2 x^2\right)^{-m} \left((i b x)^m \Gamma (m+1,-i b x)-(-i b x)^m \Gamma (m+1,i b x)\right)}{b}\right)}{2 (m+1)}","\frac{x^{m+1} \text{Ci}(b x)}{m+1}+\frac{i x^m (-i b x)^{-m} \Gamma (m+1,-i b x)}{2 b (m+1)}-\frac{i x^m (i b x)^{-m} \Gamma (m+1,i b x)}{2 b (m+1)}",1,"(x^m*(2*x*CosIntegral[b*x] + (I*((I*b*x)^m*Gamma[1 + m, (-I)*b*x] - ((-I)*b*x)^m*Gamma[1 + m, I*b*x]))/(b*(b^2*x^2)^m)))/(2*(1 + m))","A",1
70,1,53,63,0.0468861,"\int x^3 \text{Ci}(b x) \, dx","Integrate[x^3*CosIntegral[b*x],x]","-\frac{3 \left(b^2 x^2-2\right) \cos (b x)}{4 b^4}-\frac{x \left(b^2 x^2-6\right) \sin (b x)}{4 b^3}+\frac{1}{4} x^4 \text{Ci}(b x)","\frac{3 \cos (b x)}{2 b^4}+\frac{3 x \sin (b x)}{2 b^3}-\frac{3 x^2 \cos (b x)}{4 b^2}+\frac{1}{4} x^4 \text{Ci}(b x)-\frac{x^3 \sin (b x)}{4 b}",1,"(-3*(-2 + b^2*x^2)*Cos[b*x])/(4*b^4) + (x^4*CosIntegral[b*x])/4 - (x*(-6 + b^2*x^2)*Sin[b*x])/(4*b^3)","A",1
71,1,44,49,0.0370971,"\int x^2 \text{Ci}(b x) \, dx","Integrate[x^2*CosIntegral[b*x],x]","-\frac{2 x \cos (b x)}{3 b^2}-\frac{\left(b^2 x^2-2\right) \sin (b x)}{3 b^3}+\frac{1}{3} x^3 \text{Ci}(b x)","\frac{2 \sin (b x)}{3 b^3}-\frac{2 x \cos (b x)}{3 b^2}+\frac{1}{3} x^3 \text{Ci}(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 + b^2*x^2)*Sin[b*x])/(3*b^3)","A",1
72,1,35,35,0.008749,"\int x \text{Ci}(b x) \, dx","Integrate[x*CosIntegral[b*x],x]","-\frac{\cos (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Ci}(b x)-\frac{x \sin (b x)}{2 b}","-\frac{\cos (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Ci}(b x)-\frac{x \sin (b x)}{2 b}",1,"-1/2*Cos[b*x]/b^2 + (x^2*CosIntegral[b*x])/2 - (x*Sin[b*x])/(2*b)","A",1
73,1,16,16,0.0018588,"\int \text{Ci}(b x) \, dx","Integrate[CosIntegral[b*x],x]","x \text{Ci}(b x)-\frac{\sin (b x)}{b}","x \text{Ci}(b x)-\frac{\sin (b x)}{b}",1,"x*CosIntegral[b*x] - Sin[b*x]/b","A",1
74,1,94,61,0.0474719,"\int \frac{\text{Ci}(b x)}{x} \, dx","Integrate[CosIntegral[b*x]/x,x]","\frac{1}{2} \left(-i b x \, _3F_3(1,1,1;2,2,2;-i b x)+i b x \, _3F_3(1,1,1;2,2,2;i b x)+\log (x) (2 \text{Ci}(b x)+\log (-i b x)+\log (i b x)+\Gamma (0,-i b x)+\Gamma (0,i b x)-\log (x)+2 \gamma )\right)","-\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)*b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, (-I)*b*x] + I*b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, I*b*x] + Log[x]*(2*EulerGamma + 2*CosIntegral[b*x] + Gamma[0, (-I)*b*x] + Gamma[0, I*b*x] - Log[x] + Log[(-I)*b*x] + Log[I*b*x]))/2","A",1
75,1,26,26,0.0121822,"\int \frac{\text{Ci}(b x)}{x^2} \, dx","Integrate[CosIntegral[b*x]/x^2,x]","-\frac{\text{Ci}(b x)}{x}-b \text{Si}(b x)-\frac{\cos (b x)}{x}","-\frac{\text{Ci}(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",1
76,1,46,46,0.0151742,"\int \frac{\text{Ci}(b x)}{x^3} \, dx","Integrate[CosIntegral[b*x]/x^3,x]","-\frac{1}{4} b^2 \text{Ci}(b x)-\frac{\text{Ci}(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{Ci}(b x)-\frac{\text{Ci}(b x)}{2 x^2}-\frac{\cos (b x)}{4 x^2}+\frac{b \sin (b x)}{4 x}",1,"-1/4*Cos[b*x]/x^2 - (b^2*CosIntegral[b*x])/4 - CosIntegral[b*x]/(2*x^2) + (b*Sin[b*x])/(4*x)","A",1
77,0,0,13,3.1403775,"\int x^m \text{Ci}(b x)^2 \, dx","Integrate[x^m*CosIntegral[b*x]^2,x]","\int x^m \text{Ci}(b x)^2 \, dx","\text{Int}\left(x^m \text{Ci}(b x)^2,x\right)",0,"Integrate[x^m*CosIntegral[b*x]^2, x]","A",-1
78,1,108,163,0.138877,"\int x^3 \text{Ci}(b x)^2 \, dx","Integrate[x^3*CosIntegral[b*x]^2,x]","\frac{2 b^4 x^4 \text{Ci}(b x)^2-4 \text{Ci}(b x) \left(b x \left(b^2 x^2-6\right) \sin (b x)+3 \left(b^2 x^2-2\right) \cos (b x)\right)+3 b^2 x^2-b^2 x^2 \cos (2 b x)-12 \text{Ci}(2 b x)+4 b x \sin (2 b x)+8 \cos (2 b x)-12 \log (x)}{8 b^4}","-\frac{3 \text{Ci}(2 b x)}{2 b^4}+\frac{3 \text{Ci}(b x) \cos (b x)}{b^4}-\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{3 x \text{Ci}(b x) \sin (b x)}{b^3}+\frac{x \sin (b x) \cos (b x)}{b^3}-\frac{3 x^2 \text{Ci}(b x) \cos (b x)}{2 b^2}+\frac{x^2}{4 b^2}+\frac{x^2 \sin ^2(b x)}{4 b^2}+\frac{1}{4} x^4 \text{Ci}(b x)^2-\frac{x^3 \text{Ci}(b x) \sin (b x)}{2 b}",1,"(3*b^2*x^2 + 8*Cos[2*b*x] - b^2*x^2*Cos[2*b*x] + 2*b^4*x^4*CosIntegral[b*x]^2 - 12*CosIntegral[2*b*x] - 12*Log[x] - 4*CosIntegral[b*x]*(3*(-2 + b^2*x^2)*Cos[b*x] + b*x*(-6 + b^2*x^2)*Sin[b*x]) + 4*b*x*Sin[2*b*x])/(8*b^4)","A",1
79,1,78,112,0.1123737,"\int x^2 \text{Ci}(b x)^2 \, dx","Integrate[x^2*CosIntegral[b*x]^2,x]","\frac{4 b^3 x^3 \text{Ci}(b x)^2-8 \text{Ci}(b x) \left(\left(b^2 x^2-2\right) \sin (b x)+2 b x \cos (b x)\right)-8 \text{Si}(2 b x)+8 b x+5 \sin (2 b x)-2 b x \cos (2 b x)}{12 b^3}","\frac{4 \text{Ci}(b x) \sin (b x)}{3 b^3}-\frac{2 \text{Si}(2 b x)}{3 b^3}+\frac{5 \sin (b x) \cos (b x)}{6 b^3}-\frac{4 x \text{Ci}(b x) \cos (b x)}{3 b^2}+\frac{x}{2 b^2}+\frac{x \sin ^2(b x)}{3 b^2}+\frac{1}{3} x^3 \text{Ci}(b x)^2-\frac{2 x^2 \text{Ci}(b x) \sin (b x)}{3 b}",1,"(8*b*x - 2*b*x*Cos[2*b*x] + 4*b^3*x^3*CosIntegral[b*x]^2 - 8*CosIntegral[b*x]*(2*b*x*Cos[b*x] + (-2 + b^2*x^2)*Sin[b*x]) + 5*Sin[2*b*x] - 8*SinIntegral[2*b*x])/(12*b^3)","A",1
80,1,58,75,0.0679293,"\int x \text{Ci}(b x)^2 \, dx","Integrate[x*CosIntegral[b*x]^2,x]","\frac{2 b^2 x^2 \text{Ci}(b x)^2+2 \text{Ci}(2 b x)-4 \text{Ci}(b x) (b x \sin (b x)+\cos (b x))-\cos (2 b x)+2 \log (x)}{4 b^2}","\frac{\text{Ci}(2 b x)}{2 b^2}-\frac{\text{Ci}(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{Ci}(b x)^2-\frac{x \text{Ci}(b x) \sin (b x)}{b}",1,"(-Cos[2*b*x] + 2*b^2*x^2*CosIntegral[b*x]^2 + 2*CosIntegral[2*b*x] + 2*Log[x] - 4*CosIntegral[b*x]*(Cos[b*x] + b*x*Sin[b*x]))/(4*b^2)","A",1
81,1,31,31,0.0123034,"\int \text{Ci}(b x)^2 \, dx","Integrate[CosIntegral[b*x]^2,x]","x \text{Ci}(b x)^2-\frac{2 \text{Ci}(b x) \sin (b x)}{b}+\frac{\text{Si}(2 b x)}{b}","x \text{Ci}(b x)^2-\frac{2 \text{Ci}(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",1
82,0,0,13,0.4312347,"\int \frac{\text{Ci}(b x)^2}{x} \, dx","Integrate[CosIntegral[b*x]^2/x,x]","\int \frac{\text{Ci}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(b x)^2}{x},x\right)",0,"Integrate[CosIntegral[b*x]^2/x, x]","A",-1
83,0,0,13,0.522763,"\int \frac{\text{Ci}(b x)^2}{x^2} \, dx","Integrate[CosIntegral[b*x]^2/x^2,x]","\int \frac{\text{Ci}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Ci}(b x)^2}{x^2},x\right)",0,"Integrate[CosIntegral[b*x]^2/x^2, x]","A",-1
84,0,0,13,0.5792127,"\int \frac{\text{Ci}(b x)^2}{x^3} \, dx","Integrate[CosIntegral[b*x]^2/x^3,x]","\int \frac{\text{Ci}(b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Ci}(b x)^2}{x^3},x\right)",0,"Integrate[CosIntegral[b*x]^2/x^3, x]","A",-1
85,0,0,48,4.3632303,"\int x^m \text{Ci}(a+b x) \, dx","Integrate[x^m*CosIntegral[a + b*x],x]","\int x^m \text{Ci}(a+b x) \, dx","\frac{x^{m+1} \text{Ci}(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,"Integrate[x^m*CosIntegral[a + b*x], x]","A",-1
86,1,95,184,0.2607905,"\int x^3 \text{Ci}(a+b x) \, dx","Integrate[x^3*CosIntegral[a + b*x],x]","\frac{\left(b^4 x^4-a^4\right) \text{Ci}(a+b x)-\left(\left(a^2-2 a b x+3 b^2 x^2-6\right) \cos (a+b x)\right)+\left(a^3-a^2 b x+a b^2 x^2-2 a-b^3 x^3+6 b x\right) \sin (a+b x)}{4 b^4}","-\frac{a^4 \text{Ci}(a+b x)}{4 b^4}+\frac{a^3 \sin (a+b x)}{4 b^4}-\frac{a^2 \cos (a+b x)}{4 b^4}-\frac{a^2 x \sin (a+b x)}{4 b^3}-\frac{a \sin (a+b x)}{2 b^4}+\frac{3 \cos (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{a x^2 \sin (a+b x)}{4 b^2}-\frac{3 x^2 \cos (a+b x)}{4 b^2}+\frac{1}{4} x^4 \text{Ci}(a+b x)-\frac{x^3 \sin (a+b x)}{4 b}",1,"(-((-6 + a^2 - 2*a*b*x + 3*b^2*x^2)*Cos[a + b*x]) + (-a^4 + b^4*x^4)*CosIntegral[a + b*x] + (-2*a + a^3 + 6*b*x - a^2*b*x + a*b^2*x^2 - b^3*x^3)*Sin[a + b*x])/(4*b^4)","A",1
87,1,64,118,0.1610225,"\int x^2 \text{Ci}(a+b x) \, dx","Integrate[x^2*CosIntegral[a + b*x],x]","\frac{\left(a^3+b^3 x^3\right) \text{Ci}(a+b x)-\left(a^2-a b x+b^2 x^2-2\right) \sin (a+b x)+(a-2 b x) \cos (a+b x)}{3 b^3}","\frac{a^3 \text{Ci}(a+b x)}{3 b^3}-\frac{a^2 \sin (a+b x)}{3 b^3}+\frac{2 \sin (a+b x)}{3 b^3}+\frac{a \cos (a+b x)}{3 b^3}+\frac{a x \sin (a+b x)}{3 b^2}-\frac{2 x \cos (a+b x)}{3 b^2}+\frac{1}{3} x^3 \text{Ci}(a+b x)-\frac{x^2 \sin (a+b x)}{3 b}",1,"((a - 2*b*x)*Cos[a + b*x] + (a^3 + b^3*x^3)*CosIntegral[a + b*x] - (-2 + a^2 - a*b*x + b^2*x^2)*Sin[a + b*x])/(3*b^3)","A",1
88,1,49,71,0.1448934,"\int x \text{Ci}(a+b x) \, dx","Integrate[x*CosIntegral[a + b*x],x]","\frac{\left(b^2 x^2-a^2\right) \text{Ci}(a+b x)+(a-b x) \sin (a+b x)-\cos (a+b x)}{2 b^2}","-\frac{a^2 \text{Ci}(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{Ci}(a+b x)-\frac{x \sin (a+b x)}{2 b}",1,"(-Cos[a + b*x] + (-a^2 + b^2*x^2)*CosIntegral[a + b*x] + (a - b*x)*Sin[a + b*x])/(2*b^2)","A",1
89,1,42,27,0.0379014,"\int \text{Ci}(a+b x) \, dx","Integrate[CosIntegral[a + b*x],x]","x \text{Ci}(a+b x)+\frac{a \text{Ci}(a+b x)}{b}-\frac{\sin (a) \cos (b x)}{b}-\frac{\cos (a) \sin (b x)}{b}","\frac{(a+b x) \text{Ci}(a+b x)}{b}-\frac{\sin (a+b x)}{b}",1,"(a*CosIntegral[a + b*x])/b + x*CosIntegral[a + b*x] - (Cos[b*x]*Sin[a])/b - (Cos[a]*Sin[b*x])/b","A",1
90,0,0,13,0.675234,"\int \frac{\text{Ci}(a+b x)}{x} \, dx","Integrate[CosIntegral[a + b*x]/x,x]","\int \frac{\text{Ci}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x)}{x},x\right)",0,"Integrate[CosIntegral[a + b*x]/x, x]","A",-1
91,1,40,47,0.0813644,"\int \frac{\text{Ci}(a+b x)}{x^2} \, dx","Integrate[CosIntegral[a + b*x]/x^2,x]","\frac{-(a+b x) \text{Ci}(a+b x)+b x \cos (a) \text{Ci}(b x)-b x \sin (a) \text{Si}(b x)}{a x}","-\frac{b \text{Ci}(a+b x)}{a}-\frac{\text{Ci}(a+b x)}{x}+\frac{b \cos (a) \text{Ci}(b x)}{a}-\frac{b \sin (a) \text{Si}(b x)}{a}",1,"(b*x*Cos[a]*CosIntegral[b*x] - (a + b*x)*CosIntegral[a + b*x] - b*x*Sin[a]*SinIntegral[b*x])/(a*x)","A",1
92,1,76,111,0.4540678,"\int \frac{\text{Ci}(a+b x)}{x^3} \, dx","Integrate[CosIntegral[a + b*x]/x^3,x]","-\frac{\left(a^2-b^2 x^2\right) \text{Ci}(a+b x)+b^2 x^2 (a \sin (a)+\cos (a)) \text{Ci}(b x)+b x (b x (a \cos (a)-\sin (a)) \text{Si}(b x)+a \cos (a+b x))}{2 a^2 x^2}","\frac{b^2 \text{Ci}(a+b x)}{2 a^2}-\frac{b^2 \cos (a) \text{Ci}(b x)}{2 a^2}+\frac{b^2 \sin (a) \text{Si}(b x)}{2 a^2}-\frac{b^2 \sin (a) \text{Ci}(b x)}{2 a}-\frac{b^2 \cos (a) \text{Si}(b x)}{2 a}-\frac{\text{Ci}(a+b x)}{2 x^2}-\frac{b \cos (a+b x)}{2 a x}",1,"-1/2*((a^2 - b^2*x^2)*CosIntegral[a + b*x] + b^2*x^2*CosIntegral[b*x]*(Cos[a] + a*Sin[a]) + b*x*(a*Cos[a + b*x] + b*x*(a*Cos[a] - Sin[a])*SinIntegral[b*x]))/(a^2*x^2)","A",1
93,0,0,15,5.3248736,"\int x^m \text{Ci}(a+b x)^2 \, dx","Integrate[x^m*CosIntegral[a + b*x]^2,x]","\int x^m \text{Ci}(a+b x)^2 \, dx","\text{Int}\left(x^m \text{Ci}(a+b x)^2,x\right)",0,"Integrate[x^m*CosIntegral[a + b*x]^2, x]","A",-1
94,1,159,329,1.3574508,"\int x^2 \text{Ci}(a+b x)^2 \, dx","Integrate[x^2*CosIntegral[a + b*x]^2,x]","\frac{4 \left(a^3+b^3 x^3\right) \text{Ci}(a+b x)^2-8 \text{Ci}(a+b x) \left(\left(a^2-a b x+b^2 x^2-2\right) \sin (a+b x)-(a-2 b x) \cos (a+b x)\right)+12 a^2 \text{Si}(2 (a+b x))-12 a \text{Ci}(2 (a+b x))-8 \text{Si}(2 (a+b x))-12 a \log (a+b x)+5 \sin (2 (a+b x))+4 a \cos (2 (a+b x))-2 b x \cos (2 (a+b x))+8 a+8 b x}{12 b^3}","\frac{a^2 (a+b x) \text{Ci}(a+b x)^2}{3 b^3}-\frac{2 a^2 \text{Ci}(a+b x) \sin (a+b x)}{3 b^3}+\frac{a^2 \text{Si}(2 a+2 b x)}{b^3}-\frac{a \text{Ci}(2 a+2 b x)}{b^3}+\frac{4 \text{Ci}(a+b x) \sin (a+b x)}{3 b^3}+\frac{2 a \text{Ci}(a+b x) \cos (a+b x)}{3 b^3}-\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{2 \sin (a+b x) \cos (a+b x)}{3 b^3}-\frac{a x (a+b x) \text{Ci}(a+b x)^2}{3 b^2}+\frac{2 a x \text{Ci}(a+b x) \sin (a+b x)}{3 b^2}-\frac{4 x \text{Ci}(a+b x) \cos (a+b x)}{3 b^2}-\frac{x \cos (2 a+2 b x)}{6 b^2}+\frac{x^2 (a+b x) \text{Ci}(a+b x)^2}{3 b}-\frac{2 x^2 \text{Ci}(a+b x) \sin (a+b x)}{3 b}+\frac{2 x}{3 b^2}",1,"(8*a + 8*b*x + 4*a*Cos[2*(a + b*x)] - 2*b*x*Cos[2*(a + b*x)] + 4*(a^3 + b^3*x^3)*CosIntegral[a + b*x]^2 - 12*a*CosIntegral[2*(a + b*x)] - 12*a*Log[a + b*x] - 8*CosIntegral[a + b*x]*(-((a - 2*b*x)*Cos[a + b*x]) + (-2 + a^2 - a*b*x + b^2*x^2)*Sin[a + b*x]) + 5*Sin[2*(a + b*x)] - 8*SinIntegral[2*(a + b*x)] + 12*a^2*SinIntegral[2*(a + b*x)])/(12*b^3)","A",1
95,1,96,155,0.3503857,"\int x \text{Ci}(a+b x)^2 \, dx","Integrate[x*CosIntegral[a + b*x]^2,x]","-\frac{2 \left(a^2-b^2 x^2\right) \text{Ci}(a+b x)^2-2 \text{Ci}(2 (a+b x))+4 \text{Ci}(a+b x) ((b x-a) \sin (a+b x)+\cos (a+b x))+4 a \text{Si}(2 (a+b x))-2 \log (a+b x)+\cos (2 (a+b x))}{4 b^2}","-\frac{a (a+b x) \text{Ci}(a+b x)^2}{2 b^2}+\frac{\text{Ci}(2 a+2 b x)}{2 b^2}+\frac{a \text{Ci}(a+b x) \sin (a+b x)}{b^2}-\frac{\text{Ci}(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{Ci}(a+b x)^2}{2 b}-\frac{x \text{Ci}(a+b x) \sin (a+b x)}{b}",1,"-1/4*(Cos[2*(a + b*x)] + 2*(a^2 - b^2*x^2)*CosIntegral[a + b*x]^2 - 2*CosIntegral[2*(a + b*x)] - 2*Log[a + b*x] + 4*CosIntegral[a + b*x]*(Cos[a + b*x] + (-a + b*x)*Sin[a + b*x]) + 4*a*SinIntegral[2*(a + b*x)])/b^2","A",1
96,1,41,48,0.0089915,"\int \text{Ci}(a+b x)^2 \, dx","Integrate[CosIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{Ci}(a+b x)^2-2 \text{Ci}(a+b x) \sin (a+b x)+\text{Si}(2 (a+b x))}{b}","\frac{(a+b x) \text{Ci}(a+b x)^2}{b}-\frac{2 \text{Ci}(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 - 2*CosIntegral[a + b*x]*Sin[a + b*x] + SinIntegral[2*(a + b*x)])/b","A",1
97,0,0,15,1.4806921,"\int \frac{\text{Ci}(a+b x)^2}{x} \, dx","Integrate[CosIntegral[a + b*x]^2/x,x]","\int \frac{\text{Ci}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x)^2}{x},x\right)",0,"Integrate[CosIntegral[a + b*x]^2/x, x]","A",-1
98,0,0,15,2.3789262,"\int \frac{\text{Ci}(a+b x)^2}{x^2} \, dx","Integrate[CosIntegral[a + b*x]^2/x^2,x]","\int \frac{\text{Ci}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x)^2}{x^2},x\right)",0,"Integrate[CosIntegral[a + b*x]^2/x^2, x]","A",-1
99,0,0,15,2.7464758,"\int \frac{\text{Ci}(a+b x)^2}{x^3} \, dx","Integrate[CosIntegral[a + b*x]^2/x^3,x]","\int \frac{\text{Ci}(a+b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x)^2}{x^3},x\right)",0,"Integrate[CosIntegral[a + b*x]^2/x^3, x]","A",-1
100,1,102,133,2.0183526,"\int x^2 \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x^2*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{6} x^3 \left(2 \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(\text{Ei}\left(\frac{(3-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(i b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)\right)","\frac{1}{3} x^3 \text{Ci}\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*(2*CosIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[((3 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[((3 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((3*a)/(b*n))*(c*x^n)^(3/n))))/6","A",1
101,1,102,133,2.0258389,"\int x \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{4} x^2 \left(2 \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(\text{Ei}\left(\frac{(2-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(i b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)\right)","\frac{1}{2} x^2 \text{Ci}\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*(2*CosIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[((2 - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[((2 + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((2*a)/(b*n))*(c*x^n)^(2/n))))/4","A",1
102,1,98,124,1.9323546,"\int \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[CosIntegral[d*(a + b*Log[c*x^n])],x]","x \text{Ci}\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} \left(\text{Ei}\left(\frac{(1-i b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)","x \text{Ci}\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)] + 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",1
103,1,96,55,0.1004546,"\int \frac{\text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Integrate[CosIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{a \text{Ci}\left(a d+b \log \left(c x^n\right) d\right)}{b n}+\frac{\log \left(c x^n\right) \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{n}-\frac{\sin (a d) \cos \left(b d \log \left(c x^n\right)\right)}{b d n}-\frac{\cos (a d) \sin \left(b d \log \left(c x^n\right)\right)}{b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Ci}\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,"(a*CosIntegral[a*d + b*d*Log[c*x^n]])/(b*n) + (CosIntegral[d*(a + b*Log[c*x^n])]*Log[c*x^n])/n - (Cos[b*d*Log[c*x^n]]*Sin[a*d])/(b*d*n) - (Cos[a*d]*Sin[b*d*Log[c*x^n]])/(b*d*n)","A",1
104,1,102,127,1.9207706,"\int \frac{\text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Integrate[CosIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{-2 \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)+e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(\text{Ei}\left(-\frac{i (b d n-i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{i (b d n+i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)}{2 x}","-\frac{\text{Ci}\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,"(-2*CosIntegral[d*(a + b*Log[c*x^n])] + E^(a/(b*n))*(c*x^n)^n^(-1)*(ExpIntegralEi[((-I)*(-I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[(I*(I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(2*x)","A",1
105,1,105,135,1.9138948,"\int \frac{\text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Integrate[CosIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{-2 \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)+e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(\text{Ei}\left(-\frac{i (b d n-2 i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{i (b d n+2 i) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)}{4 x^2}","-\frac{\text{Ci}\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,"(-2*CosIntegral[d*(a + b*Log[c*x^n])] + E^((2*a)/(b*n))*(c*x^n)^(2/n)*(ExpIntegralEi[((-I)*(-2*I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[(I*(2*I + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(4*x^2)","A",1
106,1,124,172,3.3798901,"\int (e x)^m \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[(e*x)^m*CosIntegral[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^m \left(2 x \text{Ci}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x^{-m} \exp \left(-\frac{(m+1) \left(a+b \log \left(c x^n\right)-b n \log (x)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(m-i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(m+i b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)\right)}{2 (m+1)}","\frac{(e x)^{m+1} \text{Ci}\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)^m*(2*x*CosIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[((1 + m - I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[((1 + m + I*b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^(((1 + m)*(a - b*n*Log[x] + b*Log[c*x^n]))/(b*n))*x^m)))/(2*(1 + m))","A",1
107,0,0,103,1.6286418,"\int \frac{\text{Ci}(b x) \sin (b x)}{x^3} \, dx","Integrate[(CosIntegral[b*x]*Sin[b*x])/x^3,x]","\int \frac{\text{Ci}(b x) \sin (b x)}{x^3} \, dx","-\frac{1}{2} b^2 \text{Int}\left(\frac{\text{Ci}(b x) \sin (b x)}{x},x\right)+b^2 (-\text{Si}(2 b x))-\frac{\text{Ci}(b x) \sin (b x)}{2 x^2}-\frac{b \text{Ci}(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,"Integrate[(CosIntegral[b*x]*Sin[b*x])/x^3, x]","A",-1
108,1,44,44,0.0113409,"\int \frac{\text{Ci}(b x) \sin (b x)}{x^2} \, dx","Integrate[(CosIntegral[b*x]*Sin[b*x])/x^2,x]","\frac{1}{2} b \text{Ci}(b x)^2+b \text{Ci}(2 b x)-\frac{\text{Ci}(b x) \sin (b x)}{x}-\frac{\sin (2 b x)}{2 x}","\frac{1}{2} b \text{Ci}(b x)^2+b \text{Ci}(2 b x)-\frac{\text{Ci}(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",1
109,0,0,15,2.2542176,"\int \frac{\text{Ci}(b x) \sin (b x)}{x} \, dx","Integrate[(CosIntegral[b*x]*Sin[b*x])/x,x]","\int \frac{\text{Ci}(b x) \sin (b x)}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(b x) \sin (b x)}{x},x\right)",0,"Integrate[(CosIntegral[b*x]*Sin[b*x])/x, x]","A",-1
110,1,37,35,0.0128953,"\int \text{Ci}(b x) \sin (b x) \, dx","Integrate[CosIntegral[b*x]*Sin[b*x],x]","\frac{\text{Ci}(2 b x)}{2 b}-\frac{\text{Ci}(b x) \cos (b x)}{b}+\frac{\log (b x)}{2 b}","\frac{\text{Ci}(2 b x)}{2 b}-\frac{\text{Ci}(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[b*x]/(2*b)","A",1
111,1,44,62,0.04837,"\int x \text{Ci}(b x) \sin (b x) \, dx","Integrate[x*CosIntegral[b*x]*Sin[b*x],x]","\frac{\text{Ci}(b x) (4 \sin (b x)-4 b x \cos (b x))-2 \text{Si}(2 b x)+2 b x+\sin (2 b x)}{4 b^2}","\frac{\text{Ci}(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{Ci}(b x) \cos (b x)}{b}+\frac{x}{2 b}",1,"(2*b*x + CosIntegral[b*x]*(-4*b*x*Cos[b*x] + 4*Sin[b*x]) + Sin[2*b*x] - 2*SinIntegral[2*b*x])/(4*b^2)","A",1
112,1,72,111,0.081829,"\int x^2 \text{Ci}(b x) \sin (b x) \, dx","Integrate[x^2*CosIntegral[b*x]*Sin[b*x],x]","\frac{-8 \text{Ci}(b x) \left(\left(b^2 x^2-2\right) \cos (b x)-2 b x \sin (b x)\right)+2 b^2 x^2-8 \text{Ci}(2 b x)+2 b x \sin (2 b x)+5 \cos (2 b x)-8 \log (x)}{8 b^3}","-\frac{\text{Ci}(2 b x)}{b^3}+\frac{2 \text{Ci}(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{2 x \text{Ci}(b x) \sin (b x)}{b^2}+\frac{x \sin (b x) \cos (b x)}{2 b^2}-\frac{x^2 \text{Ci}(b x) \cos (b x)}{b}+\frac{x^2}{4 b}",1,"(2*b^2*x^2 + 5*Cos[2*b*x] - 8*CosIntegral[2*b*x] - 8*Log[x] - 8*CosIntegral[b*x]*((-2 + b^2*x^2)*Cos[b*x] - 2*b*x*Sin[b*x]) + 2*b*x*Sin[2*b*x])/(8*b^3)","A",1
113,1,94,147,0.104417,"\int x^3 \text{Ci}(b x) \sin (b x) \, dx","Integrate[x^3*CosIntegral[b*x]*Sin[b*x],x]","\frac{2 b^3 x^3-12 \text{Ci}(b x) \left(b x \left(b^2 x^2-6\right) \cos (b x)-3 \left(b^2 x^2-2\right) \sin (b x)\right)+3 b^2 x^2 \sin (2 b x)+36 \text{Si}(2 b x)-36 b x-24 \sin (2 b x)+12 b x \cos (2 b x)}{12 b^4}","-\frac{6 \text{Ci}(b x) \sin (b x)}{b^4}+\frac{3 \text{Si}(2 b x)}{b^4}-\frac{4 \sin (b x) \cos (b x)}{b^4}+\frac{6 x \text{Ci}(b x) \cos (b x)}{b^3}-\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{3 x^2 \text{Ci}(b x) \sin (b x)}{b^2}+\frac{x^2 \sin (b x) \cos (b x)}{2 b^2}-\frac{x^3 \text{Ci}(b x) \cos (b x)}{b}+\frac{x^3}{6 b}",1,"(-36*b*x + 2*b^3*x^3 + 12*b*x*Cos[2*b*x] - 12*CosIntegral[b*x]*(b*x*(-6 + b^2*x^2)*Cos[b*x] - 3*(-2 + b^2*x^2)*Sin[b*x]) - 24*Sin[2*b*x] + 3*b^2*x^2*Sin[2*b*x] + 36*SinIntegral[2*b*x])/(12*b^4)","A",1
114,1,97,97,0.0147533,"\int \frac{\cos (b x) \text{Ci}(b x)}{x^3} \, dx","Integrate[(Cos[b*x]*CosIntegral[b*x])/x^3,x]","-\frac{1}{4} b^2 \text{Ci}(b x)^2-b^2 \text{Ci}(2 b x)-\frac{\text{Ci}(b x) \cos (b x)}{2 x^2}+\frac{b \text{Ci}(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{Ci}(b x)^2-b^2 \text{Ci}(2 b x)-\frac{\text{Ci}(b x) \cos (b x)}{2 x^2}+\frac{b \text{Ci}(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,"-1/4*Cos[b*x]^2/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",1
115,0,0,51,0.4874345,"\int \frac{\cos (b x) \text{Ci}(b x)}{x^2} \, dx","Integrate[(Cos[b*x]*CosIntegral[b*x])/x^2,x]","\int \frac{\cos (b x) \text{Ci}(b x)}{x^2} \, dx","-b \text{Int}\left(\frac{\text{Ci}(b x) \sin (b x)}{x},x\right)-\frac{\text{Ci}(b x) \cos (b x)}{x}-b \text{Si}(2 b x)-\frac{\cos ^2(b x)}{x}",0,"Integrate[(Cos[b*x]*CosIntegral[b*x])/x^2, x]","A",-1
116,1,10,10,0.004108,"\int \frac{\cos (b x) \text{Ci}(b x)}{x} \, dx","Integrate[(Cos[b*x]*CosIntegral[b*x])/x,x]","\frac{\text{Ci}(b x)^2}{2}","\frac{\text{Ci}(b x)^2}{2}",1,"CosIntegral[b*x]^2/2","A",1
117,1,25,25,0.0161297,"\int \cos (b x) \text{Ci}(b x) \, dx","Integrate[Cos[b*x]*CosIntegral[b*x],x]","\frac{\text{Ci}(b x) \sin (b x)}{b}-\frac{\text{Si}(2 b x)}{2 b}","\frac{\text{Ci}(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",1
118,1,42,60,0.057213,"\int x \cos (b x) \text{Ci}(b x) \, dx","Integrate[x*Cos[b*x]*CosIntegral[b*x],x]","\frac{-2 \text{Ci}(2 b x)+4 \text{Ci}(b x) (b x \sin (b x)+\cos (b x))+\cos (2 b x)-2 \log (x)}{4 b^2}","-\frac{\text{Ci}(2 b x)}{2 b^2}+\frac{\text{Ci}(b x) \cos (b x)}{b^2}-\frac{\log (x)}{2 b^2}-\frac{\sin ^2(b x)}{2 b^2}+\frac{x \text{Ci}(b x) \sin (b x)}{b}",1,"(Cos[2*b*x] - 2*CosIntegral[2*b*x] - 2*Log[x] + 4*CosIntegral[b*x]*(Cos[b*x] + b*x*Sin[b*x]))/(4*b^2)","A",1
119,1,64,89,0.0894115,"\int x^2 \cos (b x) \text{Ci}(b x) \, dx","Integrate[x^2*Cos[b*x]*CosIntegral[b*x],x]","\frac{8 \text{Ci}(b x) \left(\left(b^2 x^2-2\right) \sin (b x)+2 b x \cos (b x)\right)+8 \text{Si}(2 b x)-8 b x-5 \sin (2 b x)+2 b x \cos (2 b x)}{8 b^3}","-\frac{2 \text{Ci}(b x) \sin (b x)}{b^3}+\frac{\text{Si}(2 b x)}{b^3}-\frac{5 \sin (b x) \cos (b x)}{4 b^3}+\frac{2 x \text{Ci}(b x) \cos (b x)}{b^2}-\frac{3 x}{4 b^2}-\frac{x \sin ^2(b x)}{2 b^2}+\frac{x^2 \text{Ci}(b x) \sin (b x)}{b}",1,"(-8*b*x + 2*b*x*Cos[2*b*x] + 8*CosIntegral[b*x]*(2*b*x*Cos[b*x] + (-2 + b^2*x^2)*Sin[b*x]) - 5*Sin[2*b*x] + 8*SinIntegral[2*b*x])/(8*b^3)","A",1
120,1,93,142,0.1209118,"\int x^3 \cos (b x) \text{Ci}(b x) \, dx","Integrate[x^3*Cos[b*x]*CosIntegral[b*x],x]","\frac{4 \text{Ci}(b x) \left(b x \left(b^2 x^2-6\right) \sin (b x)+3 \left(b^2 x^2-2\right) \cos (b x)\right)-3 b^2 x^2+b^2 x^2 \cos (2 b x)+12 \text{Ci}(2 b x)-4 b x \sin (2 b x)-8 \cos (2 b x)+12 \log (x)}{4 b^4}","\frac{3 \text{Ci}(2 b x)}{b^4}-\frac{6 \text{Ci}(b x) \cos (b x)}{b^4}+\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{6 x \text{Ci}(b x) \sin (b x)}{b^3}-\frac{2 x \sin (b x) \cos (b x)}{b^3}+\frac{3 x^2 \text{Ci}(b x) \cos (b x)}{b^2}-\frac{x^2}{2 b^2}-\frac{x^2 \sin ^2(b x)}{2 b^2}+\frac{x^3 \text{Ci}(b x) \sin (b x)}{b}",1,"(-3*b^2*x^2 - 8*Cos[2*b*x] + b^2*x^2*Cos[2*b*x] + 12*CosIntegral[2*b*x] + 12*Log[x] + 4*CosIntegral[b*x]*(3*(-2 + b^2*x^2)*Cos[b*x] + b*x*(-6 + b^2*x^2)*Sin[b*x]) - 4*b*x*Sin[2*b*x])/(4*b^4)","A",1
121,1,23,29,0.0359737,"\int \text{Ci}(2 x) \sin (5 x) \, dx","Integrate[CosIntegral[2*x]*Sin[5*x],x]","\frac{1}{10} (\text{Ci}(3 x)+\text{Ci}(7 x)-2 \text{Ci}(2 x) \cos (5 x))","\frac{\text{Ci}(3 x)}{10}+\frac{\text{Ci}(7 x)}{10}-\frac{1}{5} \text{Ci}(2 x) \cos (5 x)",1,"(-2*Cos[5*x]*CosIntegral[2*x] + CosIntegral[3*x] + CosIntegral[7*x])/10","A",1
122,1,27,29,0.0310492,"\int \cos (5 x) \text{Ci}(2 x) \, dx","Integrate[Cos[5*x]*CosIntegral[2*x],x]","\frac{1}{10} (2 \text{Ci}(2 x) \sin (5 x)-\text{Si}(3 x)-\text{Si}(7 x))","\frac{1}{5} \text{Ci}(2 x) \sin (5 x)-\frac{\text{Si}(3 x)}{10}-\frac{\text{Si}(7 x)}{10}",1,"(2*CosIntegral[2*x]*Sin[5*x] - SinIntegral[3*x] - SinIntegral[7*x])/10","A",1
123,1,134,220,0.3858494,"\int x^2 \text{Ci}(a+b x) \sin (a+b x) \, dx","Integrate[x^2*CosIntegral[a + b*x]*Sin[a + b*x],x]","\frac{4 \left(a^2-2\right) \text{Ci}(2 (a+b x))+4 a^2 \log (a+b x)-8 \text{Ci}(a+b x) \left(\left(b^2 x^2-2\right) \cos (a+b x)-2 b x \sin (a+b x)\right)+8 a \text{Si}(2 (a+b x))-4 a b x-8 \log (a+b x)-2 a \sin (2 (a+b x))+2 b x \sin (2 (a+b x))+5 \cos (2 (a+b x))+2 b^2 x^2}{8 b^3}","\frac{a^2 \text{Ci}(2 a+2 b x)}{2 b^3}+\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{Ci}(2 a+2 b x)}{b^3}+\frac{2 \text{Ci}(a+b x) \cos (a+b x)}{b^3}+\frac{a \text{Si}(2 a+2 b x)}{b^3}-\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{2 x \text{Ci}(a+b x) \sin (a+b x)}{b^2}-\frac{a x}{2 b^2}+\frac{x \sin (a+b x) \cos (a+b x)}{2 b^2}-\frac{x^2 \text{Ci}(a+b x) \cos (a+b x)}{b}+\frac{x^2}{4 b}",1,"(-4*a*b*x + 2*b^2*x^2 + 5*Cos[2*(a + b*x)] + 4*(-2 + a^2)*CosIntegral[2*(a + b*x)] - 8*Log[a + b*x] + 4*a^2*Log[a + b*x] - 8*CosIntegral[a + b*x]*((-2 + b^2*x^2)*Cos[a + b*x] - 2*b*x*Sin[a + b*x]) - 2*a*Sin[2*(a + b*x)] + 2*b*x*Sin[2*(a + b*x)] + 8*a*SinIntegral[2*(a + b*x)])/(8*b^3)","A",1
124,1,76,109,0.2161177,"\int x \text{Ci}(a+b x) \sin (a+b x) \, dx","Integrate[x*CosIntegral[a + b*x]*Sin[a + b*x],x]","\frac{-2 a \text{Ci}(2 (a+b x))+\text{Ci}(a+b x) (4 \sin (a+b x)-4 b x \cos (a+b x))-2 \text{Si}(2 (a+b x))-2 a \log (a+b x)+\sin (2 (a+b x))+2 b x}{4 b^2}","-\frac{a \text{Ci}(2 a+2 b x)}{2 b^2}+\frac{\text{Ci}(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{Ci}(a+b x) \cos (a+b x)}{b}+\frac{x}{2 b}",1,"(2*b*x - 2*a*CosIntegral[2*(a + b*x)] - 2*a*Log[a + b*x] + CosIntegral[a + b*x]*(-4*b*x*Cos[a + b*x] + 4*Sin[a + b*x]) + Sin[2*(a + b*x)] - 2*SinIntegral[2*(a + b*x)])/(4*b^2)","A",1
125,1,46,47,0.0343148,"\int \text{Ci}(a+b x) \sin (a+b x) \, dx","Integrate[CosIntegral[a + b*x]*Sin[a + b*x],x]","\frac{\text{Ci}(2 (a+b x))}{2 b}-\frac{\text{Ci}(a+b x) \cos (a+b x)}{b}+\frac{\log (a+b x)}{2 b}","\frac{\text{Ci}(2 a+2 b x)}{2 b}-\frac{\text{Ci}(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 + b*x)]/(2*b) + Log[a + b*x]/(2*b)","A",1
126,0,0,19,7.1053018,"\int \frac{\text{Ci}(a+b x) \sin (a+b x)}{x} \, dx","Integrate[(CosIntegral[a + b*x]*Sin[a + b*x])/x,x]","\int \frac{\text{Ci}(a+b x) \sin (a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x) \sin (a+b x)}{x},x\right)",0,"Integrate[(CosIntegral[a + b*x]*Sin[a + b*x])/x, x]","A",-1
127,1,123,185,0.3208009,"\int x^2 \cos (a+b x) \text{Ci}(a+b x) \, dx","Integrate[x^2*Cos[a + b*x]*CosIntegral[a + b*x],x]","\frac{-4 a^2 \text{Si}(2 (a+b x))+8 \text{Ci}(a+b x) \left(\left(b^2 x^2-2\right) \sin (a+b x)+2 b x \cos (a+b x)\right)+8 a \text{Ci}(2 (a+b x))+8 \text{Si}(2 (a+b x))+8 a \log (a+b x)-5 \sin (2 (a+b x))-2 a \cos (2 (a+b x))+2 b x \cos (2 (a+b x))-8 b x}{8 b^3}","-\frac{a^2 \text{Si}(2 a+2 b x)}{2 b^3}+\frac{a \text{Ci}(2 a+2 b x)}{b^3}-\frac{2 \text{Ci}(a+b x) \sin (a+b x)}{b^3}+\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{\sin (a+b x) \cos (a+b x)}{b^3}+\frac{2 x \text{Ci}(a+b x) \cos (a+b x)}{b^2}+\frac{x \cos (2 a+2 b x)}{4 b^2}+\frac{x^2 \text{Ci}(a+b x) \sin (a+b x)}{b}-\frac{x}{b^2}",1,"(-8*b*x - 2*a*Cos[2*(a + b*x)] + 2*b*x*Cos[2*(a + b*x)] + 8*a*CosIntegral[2*(a + b*x)] + 8*a*Log[a + b*x] + 8*CosIntegral[a + b*x]*(2*b*x*Cos[a + b*x] + (-2 + b^2*x^2)*Sin[a + b*x]) - 5*Sin[2*(a + b*x)] + 8*SinIntegral[2*(a + b*x)] - 4*a^2*SinIntegral[2*(a + b*x)])/(8*b^3)","A",1
128,1,69,96,0.170866,"\int x \cos (a+b x) \text{Ci}(a+b x) \, dx","Integrate[x*Cos[a + b*x]*CosIntegral[a + b*x],x]","\frac{-2 \text{Ci}(2 (a+b x))+4 \text{Ci}(a+b x) (b x \sin (a+b x)+\cos (a+b x))+2 a \text{Si}(2 (a+b x))-2 \log (a+b x)+\cos (2 (a+b x))}{4 b^2}","-\frac{\text{Ci}(2 a+2 b x)}{2 b^2}+\frac{\text{Ci}(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{Ci}(a+b x) \sin (a+b x)}{b}",1,"(Cos[2*(a + b*x)] - 2*CosIntegral[2*(a + b*x)] - 2*Log[a + b*x] + 4*CosIntegral[a + b*x]*(Cos[a + b*x] + b*x*Sin[a + b*x]) + 2*a*SinIntegral[2*(a + b*x)])/(4*b^2)","A",1
129,1,32,33,0.0248205,"\int \cos (a+b x) \text{Ci}(a+b x) \, dx","Integrate[Cos[a + b*x]*CosIntegral[a + b*x],x]","\frac{\text{Ci}(a+b x) \sin (a+b x)}{b}-\frac{\text{Si}(2 (a+b x))}{2 b}","\frac{\text{Ci}(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 + b*x)]/(2*b)","A",1
130,0,0,19,3.4070764,"\int \frac{\cos (a+b x) \text{Ci}(a+b x)}{x} \, dx","Integrate[(Cos[a + b*x]*CosIntegral[a + b*x])/x,x]","\int \frac{\cos (a+b x) \text{Ci}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Ci}(a+b x) \cos (a+b x)}{x},x\right)",0,"Integrate[(Cos[a + b*x]*CosIntegral[a + b*x])/x, x]","A",-1
131,1,328,371,7.0591031,"\int x \text{Ci}(c+d x) \sin (a+b x) \, dx","Integrate[x*CosIntegral[c + d*x]*Sin[a + b*x],x]","\frac{-4 \text{Ci}(c+d x) (b x \cos (a+b x)-\sin (a+b x))+\frac{e^{-i a} \left(-(b c+i d) e^{\frac{i b c}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)-(b c+i d) e^{\frac{i b c}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)+i b e^{-i c} d \left(\frac{e^{i (-b x+2 c+d x)}}{b-d}+\frac{e^{-i x (b+d)}}{b+d}\right)\right)}{d}-\frac{e^{i (a-c)} \left((b c-i d) e^{-\frac{i c (b-d)}{d}} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)+(b c-i d) e^{-\frac{i c (b-d)}{d}} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)+i b d \left(\frac{e^{i (x (b+d)+2 c)}}{b+d}+\frac{e^{i x (b-d)}}{b-d}\right)\right)}{d}}{4 b^2}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{\sin (a+b x) \text{Ci}(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{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}-\frac{x \cos (a+b x) \text{Ci}(c+d x)}{b}-\frac{c \cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{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,"(((I*b*d*(1/((b + d)*E^(I*(b + d)*x)) + E^(I*(2*c - b*x + d*x))/(b - d)))/E^(I*c) - (b*c + I*d)*E^((I*b*c)/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d] - (b*c + I*d)*E^((I*b*c)/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d])/(d*E^(I*a)) - (E^(I*(a - c))*(I*b*d*(E^(I*(b - d)*x)/(b - d) + E^(I*(2*c + (b + d)*x))/(b + d)) + ((b*c - I*d)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d])/E^((I*c*(b - d))/d) + ((b*c - I*d)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d])/E^((I*c*(b - d))/d)))/d - 4*CosIntegral[c + d*x]*(b*x*Cos[a + b*x] - Sin[a + b*x]))/(4*b^2)","C",1
132,1,144,154,1.5054451,"\int \text{Ci}(c+d x) \sin (a+b x) \, dx","Integrate[CosIntegral[c + d*x]*Sin[a + b*x],x]","\frac{-4 \cos (a+b x) \text{Ci}(c+d x)+\left(\text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)+\text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right) \left(\cos \left(a-\frac{b c}{d}\right)-i \sin \left(a-\frac{b c}{d}\right)\right)+\left(\text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)+\text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)\right) \left(\cos \left(a-\frac{b c}{d}\right)+i \sin \left(a-\frac{b c}{d}\right)\right)}{4 b}","\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cos (a+b x) \text{Ci}(c+d x)}{b}+\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{\sin \left(a-\frac{b c}{d}\right) \text{Si}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"(-4*Cos[a + b*x]*CosIntegral[c + d*x] + (ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d] + ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d])*(Cos[a - (b*c)/d] - I*Sin[a - (b*c)/d]) + (ExpIntegralEi[(I*(b - d)*(c + d*x))/d] + ExpIntegralEi[(I*(b + d)*(c + d*x))/d])*(Cos[a - (b*c)/d] + I*Sin[a - (b*c)/d]))/(4*b)","C",1
133,0,0,19,33.747949,"\int \frac{\text{Ci}(c+d x) \sin (a+b x)}{x} \, dx","Integrate[(CosIntegral[c + d*x]*Sin[a + b*x])/x,x]","\int \frac{\text{Ci}(c+d x) \sin (a+b x)}{x} \, dx","\text{Int}\left(\frac{\sin (a+b x) \text{Ci}(c+d x)}{x},x\right)",0,"Integrate[(CosIntegral[c + d*x]*Sin[a + b*x])/x, x]","A",-1
134,1,394,370,3.5611589,"\int x \cos (a+b x) \text{Ci}(c+d x) \, dx","Integrate[x*Cos[a + b*x]*CosIntegral[c + d*x],x]","\frac{\text{Ci}(c+d x) (b x \sin (a+b x)+\cos (a+b x))}{b^2}+\frac{i \exp \left(-\frac{i (d (a+c+d x)+b (c+d x))}{d}\right) \left(e^{\frac{i b c}{d}} \left(\left(b^2-d^2\right) (b c+i d) e^{\frac{i (b+d) (c+d x)}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)-i b d \left(d \left(-1+e^{2 i (a+b x)}\right)+b \left(1+e^{2 i (a+b x)}\right)\right)\right)-\left(b^2-d^2\right) (b c-i d) e^{i (2 a+x (b+d)+c)} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)\right)}{4 b^2 d (b-d) (b+d)}+\frac{i e^{-i (a-c)} \left((-b c+i d) e^{2 i a-\frac{i c (b+d)}{d}} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)-i b d \left(\frac{e^{i (2 a+x (b+d))}}{b+d}+\frac{e^{-i x (b-d)}}{b-d}\right)+(b c+i d) e^{\frac{i c (b-d)}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)\right)}{4 b^2 d}","-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cos (a+b x) \text{Ci}(c+d x)}{b^2}-\frac{\cos \left(a-\frac{b c}{d}\right) \text{Ci}\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{\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{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{x \sin (a+b x) \text{Ci}(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,"((I/4)*(-((b*c - I*d)*(b^2 - d^2)*E^(I*(2*a + c + (b + d)*x))*ExpIntegralEi[(I*(b - d)*(c + d*x))/d]) + E^((I*b*c)/d)*((-I)*b*d*(d*(-1 + E^((2*I)*(a + b*x))) + b*(1 + E^((2*I)*(a + b*x)))) + (b*c + I*d)*(b^2 - d^2)*E^((I*(b + d)*(c + d*x))/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d])))/(b^2*(b - d)*d*(b + d)*E^((I*(b*(c + d*x) + d*(a + c + d*x)))/d)) + ((I/4)*((-I)*b*d*(1/((b - d)*E^(I*(b - d)*x)) + E^(I*(2*a + (b + d)*x))/(b + d)) + (b*c + I*d)*E^((I*c*(b - d))/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d] + (-(b*c) + I*d)*E^((2*I)*a - (I*c*(b + d))/d)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d]))/(b^2*d*E^(I*(a - c))) + (CosIntegral[c + d*x]*(Cos[a + b*x] + b*x*Sin[a + b*x]))/b^2","C",1
135,1,153,153,1.4338046,"\int \cos (a+b x) \text{Ci}(c+d x) \, dx","Integrate[Cos[a + b*x]*CosIntegral[c + d*x],x]","\frac{4 \sin (a+b x) \text{Ci}(c+d x)+i e^{-\frac{i (a d+b c)}{d}} \left(e^{2 i a} \text{Ei}\left(\frac{i (b-d) (c+d x)}{d}\right)+e^{2 i a} \text{Ei}\left(\frac{i (b+d) (c+d x)}{d}\right)-e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b-d) (c+d x)}{d}\right)-e^{\frac{2 i b c}{d}} \text{Ei}\left(-\frac{i (b+d) (c+d x)}{d}\right)\right)}{4 b}","-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sin \left(a-\frac{b c}{d}\right) \text{Ci}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}+\frac{\sin (a+b x) \text{Ci}(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,"((I*(-(E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b - d)*(c + d*x))/d]) + E^((2*I)*a)*ExpIntegralEi[(I*(b - d)*(c + d*x))/d] - E^(((2*I)*b*c)/d)*ExpIntegralEi[((-I)*(b + d)*(c + d*x))/d] + E^((2*I)*a)*ExpIntegralEi[(I*(b + d)*(c + d*x))/d]))/E^((I*(b*c + a*d))/d) + 4*CosIntegral[c + d*x]*Sin[a + b*x])/(4*b)","C",1
136,0,0,19,17.5637482,"\int \frac{\cos (a+b x) \text{Ci}(c+d x)}{x} \, dx","Integrate[(Cos[a + b*x]*CosIntegral[c + d*x])/x,x]","\int \frac{\cos (a+b x) \text{Ci}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\cos (a+b x) \text{Ci}(c+d x)}{x},x\right)",0,"Integrate[(Cos[a + b*x]*CosIntegral[c + d*x])/x, x]","A",-1