1,1,56,76,0.0865401,"\int x^m \text{Shi}(b x) \, dx","Integrate[x^m*SinhIntegral[b*x],x]","-\frac{x^m \left((-b x)^{-m} \Gamma (m+1,-b x)+(b x)^{-m} \Gamma (m+1,b x)-2 b x \text{Shi}(b x)\right)}{2 b (m+1)}","\frac{x^{m+1} \text{Shi}(b x)}{m+1}-\frac{x^m (-b x)^{-m} \Gamma (m+1,-b x)}{2 b (m+1)}-\frac{x^m (b x)^{-m} \Gamma (m+1,b x)}{2 b (m+1)}",1,"-1/2*(x^m*(Gamma[1 + m, -(b*x)]/(-(b*x))^m + Gamma[1 + m, b*x]/(b*x)^m - 2*b*x*SinhIntegral[b*x]))/(b*(1 + m))","A",1
2,1,53,63,0.0341788,"\int x^3 \text{Shi}(b x) \, dx","Integrate[x^3*SinhIntegral[b*x],x]","\frac{3 \left(b^2 x^2+2\right) \sinh (b x)}{4 b^4}-\frac{x \left(b^2 x^2+6\right) \cosh (b x)}{4 b^3}+\frac{1}{4} x^4 \text{Shi}(b x)","\frac{3 \sinh (b x)}{2 b^4}-\frac{3 x \cosh (b x)}{2 b^3}+\frac{3 x^2 \sinh (b x)}{4 b^2}+\frac{1}{4} x^4 \text{Shi}(b x)-\frac{x^3 \cosh (b x)}{4 b}",1,"-1/4*(x*(6 + b^2*x^2)*Cosh[b*x])/b^3 + (3*(2 + b^2*x^2)*Sinh[b*x])/(4*b^4) + (x^4*SinhIntegral[b*x])/4","A",1
3,1,44,49,0.0251612,"\int x^2 \text{Shi}(b x) \, dx","Integrate[x^2*SinhIntegral[b*x],x]","\frac{2 x \sinh (b x)}{3 b^2}-\frac{\left(b^2 x^2+2\right) \cosh (b x)}{3 b^3}+\frac{1}{3} x^3 \text{Shi}(b x)","-\frac{2 \cosh (b x)}{3 b^3}+\frac{2 x \sinh (b x)}{3 b^2}+\frac{1}{3} x^3 \text{Shi}(b x)-\frac{x^2 \cosh (b x)}{3 b}",1,"-1/3*((2 + b^2*x^2)*Cosh[b*x])/b^3 + (2*x*Sinh[b*x])/(3*b^2) + (x^3*SinhIntegral[b*x])/3","A",1
4,1,35,35,0.0068986,"\int x \text{Shi}(b x) \, dx","Integrate[x*SinhIntegral[b*x],x]","\frac{\sinh (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Shi}(b x)-\frac{x \cosh (b x)}{2 b}","\frac{\sinh (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Shi}(b x)-\frac{x \cosh (b x)}{2 b}",1,"-1/2*(x*Cosh[b*x])/b + Sinh[b*x]/(2*b^2) + (x^2*SinhIntegral[b*x])/2","A",1
5,1,16,16,0.0015393,"\int \text{Shi}(b x) \, dx","Integrate[SinhIntegral[b*x],x]","x \text{Shi}(b x)-\frac{\cosh (b x)}{b}","x \text{Shi}(b x)-\frac{\cosh (b x)}{b}",1,"-(Cosh[b*x]/b) + x*SinhIntegral[b*x]","A",1
6,1,38,38,0.0057387,"\int \frac{\text{Shi}(b x)}{x} \, dx","Integrate[SinhIntegral[b*x]/x,x]","\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;b x)","\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;b x)",1,"(b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)])/2 + (b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, b*x])/2","A",1
7,1,25,25,0.0105808,"\int \frac{\text{Shi}(b x)}{x^2} \, dx","Integrate[SinhIntegral[b*x]/x^2,x]","b \text{Chi}(b x)-\frac{\text{Shi}(b x)}{x}-\frac{\sinh (b x)}{x}","b \text{Chi}(b x)-\frac{\text{Shi}(b x)}{x}-\frac{\sinh (b x)}{x}",1,"b*CoshIntegral[b*x] - Sinh[b*x]/x - SinhIntegral[b*x]/x","A",1
8,1,46,46,0.0120378,"\int \frac{\text{Shi}(b x)}{x^3} \, dx","Integrate[SinhIntegral[b*x]/x^3,x]","\frac{1}{4} b^2 \text{Shi}(b x)-\frac{\text{Shi}(b x)}{2 x^2}-\frac{\sinh (b x)}{4 x^2}-\frac{b \cosh (b x)}{4 x}","\frac{1}{4} b^2 \text{Shi}(b x)-\frac{\text{Shi}(b x)}{2 x^2}-\frac{\sinh (b x)}{4 x^2}-\frac{b \cosh (b x)}{4 x}",1,"-1/4*(b*Cosh[b*x])/x - Sinh[b*x]/(4*x^2) + (b^2*SinhIntegral[b*x])/4 - SinhIntegral[b*x]/(2*x^2)","A",1
9,0,0,13,0.6358468,"\int x^m \text{Shi}(b x)^2 \, dx","Integrate[x^m*SinhIntegral[b*x]^2,x]","\int x^m \text{Shi}(b x)^2 \, dx","\text{Int}\left(x^m \text{Shi}(b x)^2,x\right)",0,"Integrate[x^m*SinhIntegral[b*x]^2, x]","A",-1
10,1,107,149,0.1184276,"\int x^3 \text{Shi}(b x)^2 \, dx","Integrate[x^3*SinhIntegral[b*x]^2,x]","\frac{2 b^4 x^4 \text{Shi}(b x)^2-4 \text{Shi}(b x) \left(b x \left(b^2 x^2+6\right) \cosh (b x)-3 \left(b^2 x^2+2\right) \sinh (b x)\right)+3 b^2 x^2+b^2 x^2 \cosh (2 b x)-12 \text{Chi}(2 b x)-4 b x \sinh (2 b x)+8 \cosh (2 b x)+12 \log (x)}{8 b^4}","-\frac{3 \text{Chi}(2 b x)}{2 b^4}+\frac{3 \text{Shi}(b x) \sinh (b x)}{b^4}+\frac{3 \log (x)}{2 b^4}+\frac{2 \sinh ^2(b x)}{b^4}-\frac{3 x \text{Shi}(b x) \cosh (b x)}{b^3}-\frac{x \sinh (b x) \cosh (b x)}{b^3}+\frac{3 x^2 \text{Shi}(b x) \sinh (b x)}{2 b^2}+\frac{x^2}{2 b^2}+\frac{x^2 \sinh ^2(b x)}{4 b^2}+\frac{1}{4} x^4 \text{Shi}(b x)^2-\frac{x^3 \text{Shi}(b x) \cosh (b x)}{2 b}",1,"(3*b^2*x^2 + 8*Cosh[2*b*x] + b^2*x^2*Cosh[2*b*x] - 12*CoshIntegral[2*b*x] + 12*Log[x] - 4*b*x*Sinh[2*b*x] - 4*(b*x*(6 + b^2*x^2)*Cosh[b*x] - 3*(2 + b^2*x^2)*Sinh[b*x])*SinhIntegral[b*x] + 2*b^4*x^4*SinhIntegral[b*x]^2)/(8*b^4)","A",1
11,1,78,112,0.073919,"\int x^2 \text{Shi}(b x)^2 \, dx","Integrate[x^2*SinhIntegral[b*x]^2,x]","\frac{4 b^3 x^3 \text{Shi}(b x)^2-8 \text{Shi}(b x) \left(\left(b^2 x^2+2\right) \cosh (b x)-2 b x \sinh (b x)\right)+8 \text{Shi}(2 b x)+8 b x-5 \sinh (2 b x)+2 b x \cosh (2 b x)}{12 b^3}","\frac{2 \text{Shi}(2 b x)}{3 b^3}-\frac{4 \text{Shi}(b x) \cosh (b x)}{3 b^3}-\frac{5 \sinh (b x) \cosh (b x)}{6 b^3}+\frac{4 x \text{Shi}(b x) \sinh (b x)}{3 b^2}+\frac{5 x}{6 b^2}+\frac{x \sinh ^2(b x)}{3 b^2}+\frac{1}{3} x^3 \text{Shi}(b x)^2-\frac{2 x^2 \text{Shi}(b x) \cosh (b x)}{3 b}",1,"(8*b*x + 2*b*x*Cosh[2*b*x] - 5*Sinh[2*b*x] - 8*((2 + b^2*x^2)*Cosh[b*x] - 2*b*x*Sinh[b*x])*SinhIntegral[b*x] + 4*b^3*x^3*SinhIntegral[b*x]^2 + 8*SinhIntegral[2*b*x])/(12*b^3)","A",1
12,1,58,74,0.0510342,"\int x \text{Shi}(b x)^2 \, dx","Integrate[x*SinhIntegral[b*x]^2,x]","\frac{2 b^2 x^2 \text{Shi}(b x)^2-2 \text{Chi}(2 b x)+\text{Shi}(b x) (4 \sinh (b x)-4 b x \cosh (b x))+\cosh (2 b x)+2 \log (x)}{4 b^2}","-\frac{\text{Chi}(2 b x)}{2 b^2}+\frac{\text{Shi}(b x) \sinh (b x)}{b^2}+\frac{\log (x)}{2 b^2}+\frac{\sinh ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{Shi}(b x)^2-\frac{x \text{Shi}(b x) \cosh (b x)}{b}",1,"(Cosh[2*b*x] - 2*CoshIntegral[2*b*x] + 2*Log[x] + (-4*b*x*Cosh[b*x] + 4*Sinh[b*x])*SinhIntegral[b*x] + 2*b^2*x^2*SinhIntegral[b*x]^2)/(4*b^2)","A",1
13,1,31,31,0.0075406,"\int \text{Shi}(b x)^2 \, dx","Integrate[SinhIntegral[b*x]^2,x]","x \text{Shi}(b x)^2+\frac{\text{Shi}(2 b x)}{b}-\frac{2 \text{Shi}(b x) \cosh (b x)}{b}","x \text{Shi}(b x)^2+\frac{\text{Shi}(2 b x)}{b}-\frac{2 \text{Shi}(b x) \cosh (b x)}{b}",1,"(-2*Cosh[b*x]*SinhIntegral[b*x])/b + x*SinhIntegral[b*x]^2 + SinhIntegral[2*b*x]/b","A",1
14,0,0,13,0.1459831,"\int \frac{\text{Shi}(b x)^2}{x} \, dx","Integrate[SinhIntegral[b*x]^2/x,x]","\int \frac{\text{Shi}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(b x)^2}{x},x\right)",0,"Integrate[SinhIntegral[b*x]^2/x, x]","A",-1
15,0,0,13,0.1650039,"\int \frac{\text{Shi}(b x)^2}{x^2} \, dx","Integrate[SinhIntegral[b*x]^2/x^2,x]","\int \frac{\text{Shi}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Shi}(b x)^2}{x^2},x\right)",0,"Integrate[SinhIntegral[b*x]^2/x^2, x]","A",-1
16,0,0,13,0.1973035,"\int \frac{\text{Shi}(b x)^2}{x^3} \, dx","Integrate[SinhIntegral[b*x]^2/x^3,x]","\int \frac{\text{Shi}(b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Shi}(b x)^2}{x^3},x\right)",0,"Integrate[SinhIntegral[b*x]^2/x^3, x]","A",-1
17,0,0,48,10.3078866,"\int x^m \text{Shi}(a+b x) \, dx","Integrate[x^m*SinhIntegral[a + b*x],x]","\int x^m \text{Shi}(a+b x) \, dx","\frac{x^{m+1} \text{Shi}(a+b x)}{m+1}-\frac{b \text{Int}\left(\frac{x^{m+1} \sinh (a+b x)}{a+b x},x\right)}{m+1}",0,"Integrate[x^m*SinhIntegral[a + b*x], x]","A",-1
18,1,94,184,0.1991335,"\int x^3 \text{Shi}(a+b x) \, dx","Integrate[x^3*SinhIntegral[a + b*x],x]","\frac{\left(b^4 x^4-a^4\right) \text{Shi}(a+b x)+\left(a^2-2 a b x+3 b^2 x^2+6\right) \sinh (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) \cosh (a+b x)}{4 b^4}","-\frac{a^4 \text{Shi}(a+b x)}{4 b^4}+\frac{a^3 \cosh (a+b x)}{4 b^4}+\frac{a^2 \sinh (a+b x)}{4 b^4}-\frac{a^2 x \cosh (a+b x)}{4 b^3}+\frac{3 \sinh (a+b x)}{2 b^4}+\frac{a \cosh (a+b x)}{2 b^4}-\frac{a x \sinh (a+b x)}{2 b^3}-\frac{3 x \cosh (a+b x)}{2 b^3}+\frac{3 x^2 \sinh (a+b x)}{4 b^2}+\frac{a x^2 \cosh (a+b x)}{4 b^2}+\frac{1}{4} x^4 \text{Shi}(a+b x)-\frac{x^3 \cosh (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)*Cosh[a + b*x] + (6 + a^2 - 2*a*b*x + 3*b^2*x^2)*Sinh[a + b*x] + (-a^4 + b^4*x^4)*SinhIntegral[a + b*x])/(4*b^4)","A",1
19,1,64,118,0.180425,"\int x^2 \text{Shi}(a+b x) \, dx","Integrate[x^2*SinhIntegral[a + b*x],x]","-\frac{-\left(a^3+b^3 x^3\right) \text{Shi}(a+b x)+\left(a^2-a b x+b^2 x^2+2\right) \cosh (a+b x)+(a-2 b x) \sinh (a+b x)}{3 b^3}","\frac{a^3 \text{Shi}(a+b x)}{3 b^3}-\frac{a^2 \cosh (a+b x)}{3 b^3}-\frac{a \sinh (a+b x)}{3 b^3}-\frac{2 \cosh (a+b x)}{3 b^3}+\frac{2 x \sinh (a+b x)}{3 b^2}+\frac{a x \cosh (a+b x)}{3 b^2}+\frac{1}{3} x^3 \text{Shi}(a+b x)-\frac{x^2 \cosh (a+b x)}{3 b}",1,"-1/3*((2 + a^2 - a*b*x + b^2*x^2)*Cosh[a + b*x] + (a - 2*b*x)*Sinh[a + b*x] - (a^3 + b^3*x^3)*SinhIntegral[a + b*x])/b^3","A",1
20,1,47,71,0.1013089,"\int x \text{Shi}(a+b x) \, dx","Integrate[x*SinhIntegral[a + b*x],x]","\frac{\left(b^2 x^2-a^2\right) \text{Shi}(a+b x)+\sinh (a+b x)+(a-b x) \cosh (a+b x)}{2 b^2}","-\frac{a^2 \text{Shi}(a+b x)}{2 b^2}+\frac{\sinh (a+b x)}{2 b^2}+\frac{a \cosh (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{Shi}(a+b x)-\frac{x \cosh (a+b x)}{2 b}",1,"((a - b*x)*Cosh[a + b*x] + Sinh[a + b*x] + (-a^2 + b^2*x^2)*SinhIntegral[a + b*x])/(2*b^2)","A",1
21,1,42,27,0.03721,"\int \text{Shi}(a+b x) \, dx","Integrate[SinhIntegral[a + b*x],x]","x \text{Shi}(a+b x)+\frac{a \text{Shi}(a+b x)}{b}-\frac{\sinh (a) \sinh (b x)}{b}-\frac{\cosh (a) \cosh (b x)}{b}","\frac{(a+b x) \text{Shi}(a+b x)}{b}-\frac{\cosh (a+b x)}{b}",1,"-((Cosh[a]*Cosh[b*x])/b) - (Sinh[a]*Sinh[b*x])/b + (a*SinhIntegral[a + b*x])/b + x*SinhIntegral[a + b*x]","A",1
22,0,0,13,0.3496901,"\int \frac{\text{Shi}(a+b x)}{x} \, dx","Integrate[SinhIntegral[a + b*x]/x,x]","\int \frac{\text{Shi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x)}{x},x\right)",0,"Integrate[SinhIntegral[a + b*x]/x, x]","A",-1
23,1,39,46,0.1028254,"\int \frac{\text{Shi}(a+b x)}{x^2} \, dx","Integrate[SinhIntegral[a + b*x]/x^2,x]","\frac{b x \sinh (a) \text{Chi}(b x)-(a+b x) \text{Shi}(a+b x)+b x \cosh (a) \text{Shi}(b x)}{a x}","\frac{b \sinh (a) \text{Chi}(b x)}{a}-\frac{b \text{Shi}(a+b x)}{a}-\frac{\text{Shi}(a+b x)}{x}+\frac{b \cosh (a) \text{Shi}(b x)}{a}",1,"(b*x*CoshIntegral[b*x]*Sinh[a] + b*x*Cosh[a]*SinhIntegral[b*x] - (a + b*x)*SinhIntegral[a + b*x])/(a*x)","A",1
24,1,86,111,0.2769193,"\int \frac{\text{Shi}(a+b x)}{x^3} \, dx","Integrate[SinhIntegral[a + b*x]/x^3,x]","\frac{a^2 (-\text{Shi}(a+b x))+b^2 x^2 (a \cosh (a)-\sinh (a)) \text{Chi}(b x)+b^2 x^2 \text{Shi}(a+b x)+b^2 x^2 (a \sinh (a)-\cosh (a)) \text{Shi}(b x)-a b x \sinh (a+b x)}{2 a^2 x^2}","-\frac{b^2 \sinh (a) \text{Chi}(b x)}{2 a^2}+\frac{b^2 \text{Shi}(a+b x)}{2 a^2}-\frac{b^2 \cosh (a) \text{Shi}(b x)}{2 a^2}+\frac{b^2 \cosh (a) \text{Chi}(b x)}{2 a}+\frac{b^2 \sinh (a) \text{Shi}(b x)}{2 a}-\frac{\text{Shi}(a+b x)}{2 x^2}-\frac{b \sinh (a+b x)}{2 a x}",1,"(b^2*x^2*CoshIntegral[b*x]*(a*Cosh[a] - Sinh[a]) - a*b*x*Sinh[a + b*x] + b^2*x^2*(-Cosh[a] + a*Sinh[a])*SinhIntegral[b*x] - a^2*SinhIntegral[a + b*x] + b^2*x^2*SinhIntegral[a + b*x])/(2*a^2*x^2)","A",1
25,0,0,15,5.2750181,"\int x^m \text{Shi}(a+b x)^2 \, dx","Integrate[x^m*SinhIntegral[a + b*x]^2,x]","\int x^m \text{Shi}(a+b x)^2 \, dx","\text{Int}\left(x^m \text{Shi}(a+b x)^2,x\right)",0,"Integrate[x^m*SinhIntegral[a + b*x]^2, x]","A",-1
26,1,158,328,1.3778269,"\int x^2 \text{Shi}(a+b x)^2 \, dx","Integrate[x^2*SinhIntegral[a + b*x]^2,x]","\frac{4 \left(a^3+b^3 x^3\right) \text{Shi}(a+b x)^2-8 \text{Shi}(a+b x) \left(\left(a^2-a b x+b^2 x^2+2\right) \cosh (a+b x)+(a-2 b x) \sinh (a+b x)\right)+12 a^2 \text{Shi}(2 (a+b x))+12 a \text{Chi}(2 (a+b x))+8 \text{Shi}(2 (a+b x))-12 a \log (a+b x)-5 \sinh (2 (a+b x))-4 a \cosh (2 (a+b x))+2 b x \cosh (2 (a+b x))+8 a+8 b x}{12 b^3}","\frac{a^2 (a+b x) \text{Shi}(a+b x)^2}{3 b^3}+\frac{a^2 \text{Shi}(2 a+2 b x)}{b^3}-\frac{2 a^2 \text{Shi}(a+b x) \cosh (a+b x)}{3 b^3}+\frac{a \text{Chi}(2 a+2 b x)}{b^3}+\frac{2 \text{Shi}(2 a+2 b x)}{3 b^3}-\frac{2 a \text{Shi}(a+b x) \sinh (a+b x)}{3 b^3}-\frac{4 \text{Shi}(a+b x) \cosh (a+b x)}{3 b^3}-\frac{a \log (a+b x)}{b^3}-\frac{\sinh (2 a+2 b x)}{12 b^3}-\frac{a \cosh (2 a+2 b x)}{3 b^3}-\frac{2 \sinh (a+b x) \cosh (a+b x)}{3 b^3}-\frac{a x (a+b x) \text{Shi}(a+b x)^2}{3 b^2}+\frac{4 x \text{Shi}(a+b x) \sinh (a+b x)}{3 b^2}+\frac{2 a x \text{Shi}(a+b x) \cosh (a+b x)}{3 b^2}+\frac{x \cosh (2 a+2 b x)}{6 b^2}+\frac{x^2 (a+b x) \text{Shi}(a+b x)^2}{3 b}-\frac{2 x^2 \text{Shi}(a+b x) \cosh (a+b x)}{3 b}+\frac{2 x}{3 b^2}",1,"(8*a + 8*b*x - 4*a*Cosh[2*(a + b*x)] + 2*b*x*Cosh[2*(a + b*x)] + 12*a*CoshIntegral[2*(a + b*x)] - 12*a*Log[a + b*x] - 5*Sinh[2*(a + b*x)] - 8*((2 + a^2 - a*b*x + b^2*x^2)*Cosh[a + b*x] + (a - 2*b*x)*Sinh[a + b*x])*SinhIntegral[a + b*x] + 4*(a^3 + b^3*x^3)*SinhIntegral[a + b*x]^2 + 8*SinhIntegral[2*(a + b*x)] + 12*a^2*SinhIntegral[2*(a + b*x)])/(12*b^3)","A",1
27,1,95,154,0.2635767,"\int x \text{Shi}(a+b x)^2 \, dx","Integrate[x*SinhIntegral[a + b*x]^2,x]","\frac{-2 \left(a^2-b^2 x^2\right) \text{Shi}(a+b x)^2-2 \text{Chi}(2 (a+b x))-4 a \text{Shi}(2 (a+b x))+4 \text{Shi}(a+b x) (\sinh (a+b x)+(a-b x) \cosh (a+b x))+2 \log (a+b x)+\cosh (2 (a+b x))}{4 b^2}","-\frac{\text{Chi}(2 a+2 b x)}{2 b^2}-\frac{a (a+b x) \text{Shi}(a+b x)^2}{2 b^2}-\frac{a \text{Shi}(2 a+2 b x)}{b^2}+\frac{\text{Shi}(a+b x) \sinh (a+b x)}{b^2}+\frac{a \text{Shi}(a+b x) \cosh (a+b x)}{b^2}+\frac{\log (a+b x)}{2 b^2}+\frac{\cosh (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{Shi}(a+b x)^2}{2 b}-\frac{x \text{Shi}(a+b x) \cosh (a+b x)}{b}",1,"(Cosh[2*(a + b*x)] - 2*CoshIntegral[2*(a + b*x)] + 2*Log[a + b*x] + 4*((a - b*x)*Cosh[a + b*x] + Sinh[a + b*x])*SinhIntegral[a + b*x] - 2*(a^2 - b^2*x^2)*SinhIntegral[a + b*x]^2 - 4*a*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
28,1,41,48,0.0089245,"\int \text{Shi}(a+b x)^2 \, dx","Integrate[SinhIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{Shi}(a+b x)^2+\text{Shi}(2 (a+b x))-2 \text{Shi}(a+b x) \cosh (a+b x)}{b}","\frac{(a+b x) \text{Shi}(a+b x)^2}{b}+\frac{\text{Shi}(2 a+2 b x)}{b}-\frac{2 \text{Shi}(a+b x) \cosh (a+b x)}{b}",1,"(-2*Cosh[a + b*x]*SinhIntegral[a + b*x] + (a + b*x)*SinhIntegral[a + b*x]^2 + SinhIntegral[2*(a + b*x)])/b","A",1
29,0,0,15,0.6372656,"\int \frac{\text{Shi}(a+b x)^2}{x} \, dx","Integrate[SinhIntegral[a + b*x]^2/x,x]","\int \frac{\text{Shi}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x)^2}{x},x\right)",0,"Integrate[SinhIntegral[a + b*x]^2/x, x]","A",-1
30,0,0,15,1.6281804,"\int \frac{\text{Shi}(a+b x)^2}{x^2} \, dx","Integrate[SinhIntegral[a + b*x]^2/x^2,x]","\int \frac{\text{Shi}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x)^2}{x^2},x\right)",0,"Integrate[SinhIntegral[a + b*x]^2/x^2, x]","A",-1
31,0,0,15,1.3726679,"\int \frac{\text{Shi}(a+b x)^2}{x^3} \, dx","Integrate[SinhIntegral[a + b*x]^2/x^3,x]","\int \frac{\text{Shi}(a+b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x)^2}{x^3},x\right)",0,"Integrate[SinhIntegral[a + b*x]^2/x^3, x]","A",-1
32,1,98,128,1.6483004,"\int x^2 \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x^2*SinhIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{6} x^3 \left(e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(\text{Ei}\left(-\frac{(b d n-3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)+2 \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\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-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{(b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{3} x^3 \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(x^3*((ExpIntegralEi[-(((-3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] - ExpIntegralEi[((3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((3*a)/(b*n))*(c*x^n)^(3/n)) + 2*SinhIntegral[d*(a + b*Log[c*x^n])]))/6","A",1
33,1,98,128,1.6189812,"\int x \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x*SinhIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{4} x^2 \left(e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(\text{Ei}\left(-\frac{(b d n-2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)+2 \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\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-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{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\frac{1}{2} x^2 \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(x^2*((ExpIntegralEi[-(((-2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] - ExpIntegralEi[((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((2*a)/(b*n))*(c*x^n)^(2/n)) + 2*SinhIntegral[d*(a + b*Log[c*x^n])]))/4","A",1
34,1,95,119,1.5701288,"\int \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[SinhIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \left(\text{Ei}\left(-\frac{(b d n-1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)+x \text{Shi}\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-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{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+x \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(x*(ExpIntegralEi[-(((-1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] - ExpIntegralEi[((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(2*E^(a/(b*n))*(c*x^n)^n^(-1)) + x*SinhIntegral[d*(a + b*Log[c*x^n])]","A",1
35,1,96,55,0.0800165,"\int \frac{\text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Integrate[SinhIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{\log \left(c x^n\right) \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{n}+\frac{a \text{Shi}\left(a d+b \log \left(c x^n\right) d\right)}{b n}-\frac{\sinh (a d) \sinh \left(b d \log \left(c x^n\right)\right)}{b d n}-\frac{\cosh (a d) \cosh \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{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\cosh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}",1,"-((Cosh[a*d]*Cosh[b*d*Log[c*x^n]])/(b*d*n)) - (Sinh[a*d]*Sinh[b*d*Log[c*x^n]])/(b*d*n) + (Log[c*x^n]*SinhIntegral[d*(a + b*Log[c*x^n])])/n + (a*SinhIntegral[a*d + b*d*Log[c*x^n]])/(b*n)","A",1
36,1,146,122,1.7844191,"\int \frac{\text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Integrate[SinhIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{1}{2} \exp \left(-\frac{(b d n-1) \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(b d n-1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(-\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right) \left(\sinh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)+\cosh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)\right)-\frac{\text{Shi}\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-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{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}-\frac{\text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"((ExpIntegralEi[((-1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[-(((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))])*(Cosh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))] + Sinh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))]))/(2*E^(((-1 + b*d*n)*(a + b*(-(n*Log[x]) + Log[c*x^n])))/(b*n))) - SinhIntegral[d*(a + b*Log[c*x^n])]/x","A",0
37,1,148,130,1.8411795,"\int \frac{\text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Integrate[SinhIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{1}{4} \exp \left(-\frac{(b d n-2) \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(b d n-2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(-\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right) \left(\sinh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)+\cosh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)\right)-\frac{\text{Shi}\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-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{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}-\frac{\text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"((ExpIntegralEi[((-2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[-(((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))])*(Cosh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))] + Sinh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))]))/(4*E^(((-2 + b*d*n)*(a + b*(-(n*Log[x]) + Log[c*x^n])))/(b*n))) - SinhIntegral[d*(a + b*Log[c*x^n])]/(2*x^2)","A",0
38,1,120,167,2.8276844,"\int (e x)^m \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[(e*x)^m*SinhIntegral[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^m \left(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-b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\text{Ei}\left(\frac{(m+b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)+2 x \text{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)\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-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+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{Shi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}",1,"((e*x)^m*((ExpIntegralEi[((1 + m - b*d*n)*(a + b*Log[c*x^n]))/(b*n)] - ExpIntegralEi[((1 + m + 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*SinhIntegral[d*(a + b*Log[c*x^n])]))/(2*(1 + m))","A",1
39,1,96,96,0.0140568,"\int \frac{\sinh (b x) \text{Shi}(b x)}{x^3} \, dx","Integrate[(Sinh[b*x]*SinhIntegral[b*x])/x^3,x]","b^2 \text{Chi}(2 b x)+\frac{1}{4} b^2 \text{Shi}(b x)^2-\frac{\text{Shi}(b x) \sinh (b x)}{2 x^2}-\frac{b \text{Shi}(b x) \cosh (b x)}{2 x}-\frac{\sinh ^2(b x)}{4 x^2}-\frac{b \sinh (2 b x)}{4 x}-\frac{b \sinh (b x) \cosh (b x)}{2 x}","b^2 \text{Chi}(2 b x)+\frac{1}{4} b^2 \text{Shi}(b x)^2-\frac{\text{Shi}(b x) \sinh (b x)}{2 x^2}-\frac{b \text{Shi}(b x) \cosh (b x)}{2 x}-\frac{\sinh ^2(b x)}{4 x^2}-\frac{b \sinh (2 b x)}{4 x}-\frac{b \sinh (b x) \cosh (b x)}{2 x}",1,"b^2*CoshIntegral[2*b*x] - (b*Cosh[b*x]*Sinh[b*x])/(2*x) - Sinh[b*x]^2/(4*x^2) - (b*Sinh[2*b*x])/(4*x) - (b*Cosh[b*x]*SinhIntegral[b*x])/(2*x) - (Sinh[b*x]*SinhIntegral[b*x])/(2*x^2) + (b^2*SinhIntegral[b*x]^2)/4","A",1
40,0,0,49,0.2476271,"\int \frac{\sinh (b x) \text{Shi}(b x)}{x^2} \, dx","Integrate[(Sinh[b*x]*SinhIntegral[b*x])/x^2,x]","\int \frac{\sinh (b x) \text{Shi}(b x)}{x^2} \, dx","b \text{Int}\left(\frac{\text{Shi}(b x) \cosh (b x)}{x},x\right)+b \text{Shi}(2 b x)-\frac{\text{Shi}(b x) \sinh (b x)}{x}-\frac{\sinh ^2(b x)}{x}",0,"Integrate[(Sinh[b*x]*SinhIntegral[b*x])/x^2, x]","A",-1
41,1,10,10,0.003521,"\int \frac{\sinh (b x) \text{Shi}(b x)}{x} \, dx","Integrate[(Sinh[b*x]*SinhIntegral[b*x])/x,x]","\frac{\text{Shi}(b x)^2}{2}","\frac{\text{Shi}(b x)^2}{2}",1,"SinhIntegral[b*x]^2/2","A",1
42,1,25,25,0.0099493,"\int \sinh (b x) \text{Shi}(b x) \, dx","Integrate[Sinh[b*x]*SinhIntegral[b*x],x]","\frac{\text{Shi}(b x) \cosh (b x)}{b}-\frac{\text{Shi}(2 b x)}{2 b}","\frac{\text{Shi}(b x) \cosh (b x)}{b}-\frac{\text{Shi}(2 b x)}{2 b}",1,"(Cosh[b*x]*SinhIntegral[b*x])/b - SinhIntegral[2*b*x]/(2*b)","A",1
43,1,44,61,0.0821226,"\int x \sinh (b x) \text{Shi}(b x) \, dx","Integrate[x*Sinh[b*x]*SinhIntegral[b*x],x]","-\frac{-2 \text{Chi}(2 b x)+\text{Shi}(b x) (4 \sinh (b x)-4 b x \cosh (b x))+\cosh (2 b x)+2 \log (x)}{4 b^2}","\frac{\text{Chi}(2 b x)}{2 b^2}-\frac{\text{Shi}(b x) \sinh (b x)}{b^2}-\frac{\log (x)}{2 b^2}-\frac{\sinh ^2(b x)}{2 b^2}+\frac{x \text{Shi}(b x) \cosh (b x)}{b}",1,"-1/4*(Cosh[2*b*x] - 2*CoshIntegral[2*b*x] + 2*Log[x] + (-4*b*x*Cosh[b*x] + 4*Sinh[b*x])*SinhIntegral[b*x])/b^2","A",1
44,1,64,90,0.073313,"\int x^2 \sinh (b x) \text{Shi}(b x) \, dx","Integrate[x^2*Sinh[b*x]*SinhIntegral[b*x],x]","\frac{8 \text{Shi}(b x) \left(\left(b^2 x^2+2\right) \cosh (b x)-2 b x \sinh (b x)\right)-8 \text{Shi}(2 b x)-8 b x+5 \sinh (2 b x)-2 b x \cosh (2 b x)}{8 b^3}","-\frac{\text{Shi}(2 b x)}{b^3}+\frac{2 \text{Shi}(b x) \cosh (b x)}{b^3}+\frac{5 \sinh (b x) \cosh (b x)}{4 b^3}-\frac{2 x \text{Shi}(b x) \sinh (b x)}{b^2}-\frac{5 x}{4 b^2}-\frac{x \sinh ^2(b x)}{2 b^2}+\frac{x^2 \text{Shi}(b x) \cosh (b x)}{b}",1,"(-8*b*x - 2*b*x*Cosh[2*b*x] + 5*Sinh[2*b*x] + 8*((2 + b^2*x^2)*Cosh[b*x] - 2*b*x*Sinh[b*x])*SinhIntegral[b*x] - 8*SinhIntegral[2*b*x])/(8*b^3)","A",1
45,1,93,125,0.1581241,"\int x^3 \sinh (b x) \text{Shi}(b x) \, dx","Integrate[x^3*Sinh[b*x]*SinhIntegral[b*x],x]","-\frac{-4 \text{Shi}(b x) \left(b x \left(b^2 x^2+6\right) \cosh (b x)-3 \left(b^2 x^2+2\right) \sinh (b x)\right)+3 b^2 x^2+b^2 x^2 \cosh (2 b x)-12 \text{Chi}(2 b x)-4 b x \sinh (2 b x)+8 \cosh (2 b x)+12 \log (x)}{4 b^4}","\frac{3 \text{Chi}(2 b x)}{b^4}-\frac{6 \text{Shi}(b x) \sinh (b x)}{b^4}-\frac{3 \log (x)}{b^4}-\frac{4 \sinh ^2(b x)}{b^4}+\frac{6 x \text{Shi}(b x) \cosh (b x)}{b^3}+\frac{2 x \sinh (b x) \cosh (b x)}{b^3}-\frac{3 x^2 \text{Shi}(b x) \sinh (b x)}{b^2}-\frac{x^2}{b^2}-\frac{x^2 \sinh ^2(b x)}{2 b^2}+\frac{x^3 \text{Shi}(b x) \cosh (b x)}{b}",1,"-1/4*(3*b^2*x^2 + 8*Cosh[2*b*x] + b^2*x^2*Cosh[2*b*x] - 12*CoshIntegral[2*b*x] + 12*Log[x] - 4*b*x*Sinh[2*b*x] - 4*(b*x*(6 + b^2*x^2)*Cosh[b*x] - 3*(2 + b^2*x^2)*Sinh[b*x])*SinhIntegral[b*x])/b^4","A",1
46,0,0,102,0.4427599,"\int \frac{\cosh (b x) \text{Shi}(b x)}{x^3} \, dx","Integrate[(Cosh[b*x]*SinhIntegral[b*x])/x^3,x]","\int \frac{\cosh (b x) \text{Shi}(b x)}{x^3} \, dx","\frac{1}{2} b^2 \text{Int}\left(\frac{\text{Shi}(b x) \cosh (b x)}{x},x\right)+b^2 \text{Shi}(2 b x)-\frac{\text{Shi}(b x) \cosh (b x)}{2 x^2}-\frac{b \text{Shi}(b x) \sinh (b x)}{2 x}-\frac{\sinh (2 b x)}{8 x^2}-\frac{b \sinh ^2(b x)}{2 x}-\frac{b \cosh (2 b x)}{4 x}",0,"Integrate[(Cosh[b*x]*SinhIntegral[b*x])/x^3, x]","A",-1
47,1,44,44,0.0081926,"\int \frac{\cosh (b x) \text{Shi}(b x)}{x^2} \, dx","Integrate[(Cosh[b*x]*SinhIntegral[b*x])/x^2,x]","b \text{Chi}(2 b x)+\frac{1}{2} b \text{Shi}(b x)^2-\frac{\text{Shi}(b x) \cosh (b x)}{x}-\frac{\sinh (2 b x)}{2 x}","b \text{Chi}(2 b x)+\frac{1}{2} b \text{Shi}(b x)^2-\frac{\text{Shi}(b x) \cosh (b x)}{x}-\frac{\sinh (2 b x)}{2 x}",1,"b*CoshIntegral[2*b*x] - Sinh[2*b*x]/(2*x) - (Cosh[b*x]*SinhIntegral[b*x])/x + (b*SinhIntegral[b*x]^2)/2","A",1
48,0,0,15,0.2557989,"\int \frac{\cosh (b x) \text{Shi}(b x)}{x} \, dx","Integrate[(Cosh[b*x]*SinhIntegral[b*x])/x,x]","\int \frac{\cosh (b x) \text{Shi}(b x)}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(b x) \cosh (b x)}{x},x\right)",0,"Integrate[(Cosh[b*x]*SinhIntegral[b*x])/x, x]","A",-1
49,1,36,34,0.0113011,"\int \cosh (b x) \text{Shi}(b x) \, dx","Integrate[Cosh[b*x]*SinhIntegral[b*x],x]","-\frac{\text{Chi}(2 b x)}{2 b}+\frac{\text{Shi}(b x) \sinh (b x)}{b}+\frac{\log (b x)}{2 b}","-\frac{\text{Chi}(2 b x)}{2 b}+\frac{\text{Shi}(b x) \sinh (b x)}{b}+\frac{\log (x)}{2 b}",1,"-1/2*CoshIntegral[2*b*x]/b + Log[b*x]/(2*b) + (Sinh[b*x]*SinhIntegral[b*x])/b","A",1
50,1,46,62,0.049602,"\int x \cosh (b x) \text{Shi}(b x) \, dx","Integrate[x*Cosh[b*x]*SinhIntegral[b*x],x]","\frac{2 \text{Shi}(2 b x)+4 \text{Shi}(b x) (b x \sinh (b x)-\cosh (b x))+2 b x-\sinh (2 b x)}{4 b^2}","\frac{\text{Shi}(2 b x)}{2 b^2}-\frac{\text{Shi}(b x) \cosh (b x)}{b^2}-\frac{\sinh (b x) \cosh (b x)}{2 b^2}+\frac{x \text{Shi}(b x) \sinh (b x)}{b}+\frac{x}{2 b}",1,"(2*b*x - Sinh[2*b*x] + 4*(-Cosh[b*x] + b*x*Sinh[b*x])*SinhIntegral[b*x] + 2*SinhIntegral[2*b*x])/(4*b^2)","A",1
51,1,72,98,0.0920094,"\int x^2 \cosh (b x) \text{Shi}(b x) \, dx","Integrate[x^2*Cosh[b*x]*SinhIntegral[b*x],x]","\frac{8 \text{Shi}(b x) \left(\left(b^2 x^2+2\right) \sinh (b x)-2 b x \cosh (b x)\right)+2 b^2 x^2-8 \text{Chi}(2 b x)-2 b x \sinh (2 b x)+5 \cosh (2 b x)+8 \log (x)}{8 b^3}","-\frac{\text{Chi}(2 b x)}{b^3}+\frac{2 \text{Shi}(b x) \sinh (b x)}{b^3}+\frac{\log (x)}{b^3}+\frac{5 \sinh ^2(b x)}{4 b^3}-\frac{2 x \text{Shi}(b x) \cosh (b x)}{b^2}-\frac{x \sinh (b x) \cosh (b x)}{2 b^2}+\frac{x^2 \text{Shi}(b x) \sinh (b x)}{b}+\frac{x^2}{4 b}",1,"(2*b^2*x^2 + 5*Cosh[2*b*x] - 8*CoshIntegral[2*b*x] + 8*Log[x] - 2*b*x*Sinh[2*b*x] + 8*(-2*b*x*Cosh[b*x] + (2 + b^2*x^2)*Sinh[b*x])*SinhIntegral[b*x])/(8*b^3)","A",1
52,1,94,128,0.1025807,"\int x^3 \cosh (b x) \text{Shi}(b x) \, dx","Integrate[x^3*Cosh[b*x]*SinhIntegral[b*x],x]","\frac{2 b^3 x^3+12 \text{Shi}(b x) \left(b x \left(b^2 x^2+6\right) \sinh (b x)-3 \left(b^2 x^2+2\right) \cosh (b x)\right)-3 b^2 x^2 \sinh (2 b x)+36 \text{Shi}(2 b x)+36 b x-24 \sinh (2 b x)+12 b x \cosh (2 b x)}{12 b^4}","\frac{3 \text{Shi}(2 b x)}{b^4}-\frac{6 \text{Shi}(b x) \cosh (b x)}{b^4}-\frac{4 \sinh (b x) \cosh (b x)}{b^4}+\frac{6 x \text{Shi}(b x) \sinh (b x)}{b^3}+\frac{4 x}{b^3}+\frac{2 x \sinh ^2(b x)}{b^3}-\frac{3 x^2 \text{Shi}(b x) \cosh (b x)}{b^2}-\frac{x^2 \sinh (b x) \cosh (b x)}{2 b^2}+\frac{x^3 \text{Shi}(b x) \sinh (b x)}{b}+\frac{x^3}{6 b}",1,"(36*b*x + 2*b^3*x^3 + 12*b*x*Cosh[2*b*x] - 24*Sinh[2*b*x] - 3*b^2*x^2*Sinh[2*b*x] + 12*(-3*(2 + b^2*x^2)*Cosh[b*x] + b*x*(6 + b^2*x^2)*Sinh[b*x])*SinhIntegral[b*x] + 36*SinhIntegral[2*b*x])/(12*b^4)","A",1
53,1,25,29,0.0277156,"\int \sinh (5 x) \text{Shi}(2 x) \, dx","Integrate[Sinh[5*x]*SinhIntegral[2*x],x]","\frac{1}{10} (\text{Shi}(3 x)-\text{Shi}(7 x)+2 \text{Shi}(2 x) \cosh (5 x))","\frac{\text{Shi}(3 x)}{10}-\frac{\text{Shi}(7 x)}{10}+\frac{1}{5} \text{Shi}(2 x) \cosh (5 x)",1,"(2*Cosh[5*x]*SinhIntegral[2*x] + SinhIntegral[3*x] - SinhIntegral[7*x])/10","A",1
54,1,25,29,0.025182,"\int \cosh (5 x) \text{Shi}(2 x) \, dx","Integrate[Cosh[5*x]*SinhIntegral[2*x],x]","\frac{1}{10} (\text{Chi}(3 x)-\text{Chi}(7 x)+2 \text{Shi}(2 x) \sinh (5 x))","\frac{\text{Chi}(3 x)}{10}-\frac{\text{Chi}(7 x)}{10}+\frac{1}{5} \text{Shi}(2 x) \sinh (5 x)",1,"(CoshIntegral[3*x] - CoshIntegral[7*x] + 2*Sinh[5*x]*SinhIntegral[2*x])/10","A",1
55,1,123,186,0.3229331,"\int x^2 \sinh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[x^2*Sinh[a + b*x]*SinhIntegral[a + b*x],x]","\frac{-4 a^2 \text{Shi}(2 (a+b x))+8 \text{Shi}(a+b x) \left(\left(b^2 x^2+2\right) \cosh (a+b x)-2 b x \sinh (a+b x)\right)-8 a \text{Chi}(2 (a+b x))-8 \text{Shi}(2 (a+b x))+8 a \log (a+b x)+5 \sinh (2 (a+b x))+2 a \cosh (2 (a+b x))-2 b x \cosh (2 (a+b x))-8 b x}{8 b^3}","-\frac{a^2 \text{Shi}(2 a+2 b x)}{2 b^3}-\frac{a \text{Chi}(2 a+2 b x)}{b^3}-\frac{\text{Shi}(2 a+2 b x)}{b^3}+\frac{2 \text{Shi}(a+b x) \cosh (a+b x)}{b^3}+\frac{a \log (a+b x)}{b^3}+\frac{\sinh (2 a+2 b x)}{8 b^3}+\frac{a \cosh (2 a+2 b x)}{4 b^3}+\frac{\sinh (a+b x) \cosh (a+b x)}{b^3}-\frac{2 x \text{Shi}(a+b x) \sinh (a+b x)}{b^2}-\frac{x \cosh (2 a+2 b x)}{4 b^2}+\frac{x^2 \text{Shi}(a+b x) \cosh (a+b x)}{b}-\frac{x}{b^2}",1,"(-8*b*x + 2*a*Cosh[2*(a + b*x)] - 2*b*x*Cosh[2*(a + b*x)] - 8*a*CoshIntegral[2*(a + b*x)] + 8*a*Log[a + b*x] + 5*Sinh[2*(a + b*x)] + 8*((2 + b^2*x^2)*Cosh[a + b*x] - 2*b*x*Sinh[a + b*x])*SinhIntegral[a + b*x] - 8*SinhIntegral[2*(a + b*x)] - 4*a^2*SinhIntegral[2*(a + b*x)])/(8*b^3)","A",1
56,1,73,97,0.1749602,"\int x \sinh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[x*Sinh[a + b*x]*SinhIntegral[a + b*x],x]","\frac{2 \text{Chi}(2 (a+b x))+2 a \text{Shi}(2 (a+b x))+4 \text{Shi}(a+b x) (b x \cosh (a+b x)-\sinh (a+b x))-2 \log (a+b x)-\cosh (2 (a+b x))}{4 b^2}","\frac{\text{Chi}(2 a+2 b x)}{2 b^2}+\frac{a \text{Shi}(2 a+2 b x)}{2 b^2}-\frac{\text{Shi}(a+b x) \sinh (a+b x)}{b^2}-\frac{\log (a+b x)}{2 b^2}-\frac{\cosh (2 a+2 b x)}{4 b^2}+\frac{x \text{Shi}(a+b x) \cosh (a+b x)}{b}",1,"(-Cosh[2*(a + b*x)] + 2*CoshIntegral[2*(a + b*x)] - 2*Log[a + b*x] + 4*(b*x*Cosh[a + b*x] - Sinh[a + b*x])*SinhIntegral[a + b*x] + 2*a*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
57,1,32,33,0.0159445,"\int \sinh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[Sinh[a + b*x]*SinhIntegral[a + b*x],x]","\frac{\text{Shi}(a+b x) \cosh (a+b x)}{b}-\frac{\text{Shi}(2 (a+b x))}{2 b}","\frac{\text{Shi}(a+b x) \cosh (a+b x)}{b}-\frac{\text{Shi}(2 a+2 b x)}{2 b}",1,"(Cosh[a + b*x]*SinhIntegral[a + b*x])/b - SinhIntegral[2*(a + b*x)]/(2*b)","A",1
58,0,0,19,0.6300713,"\int \frac{\sinh (a+b x) \text{Shi}(a+b x)}{x} \, dx","Integrate[(Sinh[a + b*x]*SinhIntegral[a + b*x])/x,x]","\int \frac{\sinh (a+b x) \text{Shi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x) \sinh (a+b x)}{x},x\right)",0,"Integrate[(Sinh[a + b*x]*SinhIntegral[a + b*x])/x, x]","A",-1
59,1,134,219,0.3253801,"\int x^2 \cosh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[x^2*Cosh[a + b*x]*SinhIntegral[a + b*x],x]","\frac{-4 \left(a^2+2\right) \text{Chi}(2 (a+b x))+4 a^2 \log (a+b x)+8 \text{Shi}(a+b x) \left(\left(b^2 x^2+2\right) \sinh (a+b x)-2 b x \cosh (a+b x)\right)-8 a \text{Shi}(2 (a+b x))-4 a b x+8 \log (a+b x)+2 a \sinh (2 (a+b x))-2 b x \sinh (2 (a+b x))+5 \cosh (2 (a+b x))+2 b^2 x^2}{8 b^3}","-\frac{a^2 \text{Chi}(2 a+2 b x)}{2 b^3}+\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{Chi}(2 a+2 b x)}{b^3}-\frac{a \text{Shi}(2 a+2 b x)}{b^3}+\frac{2 \text{Shi}(a+b x) \sinh (a+b x)}{b^3}+\frac{\log (a+b x)}{b^3}+\frac{\sinh ^2(a+b x)}{4 b^3}+\frac{\cosh (2 a+2 b x)}{2 b^3}+\frac{a \sinh (a+b x) \cosh (a+b x)}{2 b^3}-\frac{2 x \text{Shi}(a+b x) \cosh (a+b x)}{b^2}-\frac{a x}{2 b^2}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \text{Shi}(a+b x) \sinh (a+b x)}{b}+\frac{x^2}{4 b}",1,"(-4*a*b*x + 2*b^2*x^2 + 5*Cosh[2*(a + b*x)] - 4*(2 + a^2)*CoshIntegral[2*(a + b*x)] + 8*Log[a + b*x] + 4*a^2*Log[a + b*x] + 2*a*Sinh[2*(a + b*x)] - 2*b*x*Sinh[2*(a + b*x)] + 8*(-2*b*x*Cosh[a + b*x] + (2 + b^2*x^2)*Sinh[a + b*x])*SinhIntegral[a + b*x] - 8*a*SinhIntegral[2*(a + b*x)])/(8*b^3)","A",1
60,1,78,109,0.1894308,"\int x \cosh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[x*Cosh[a + b*x]*SinhIntegral[a + b*x],x]","\frac{2 a \text{Chi}(2 (a+b x))+2 \text{Shi}(2 (a+b x))+4 \text{Shi}(a+b x) (b x \sinh (a+b x)-\cosh (a+b x))-2 a \log (a+b x)-\sinh (2 (a+b x))+2 b x}{4 b^2}","\frac{a \text{Chi}(2 a+2 b x)}{2 b^2}+\frac{\text{Shi}(2 a+2 b x)}{2 b^2}-\frac{\text{Shi}(a+b x) \cosh (a+b x)}{b^2}-\frac{a \log (a+b x)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x \text{Shi}(a+b x) \sinh (a+b x)}{b}+\frac{x}{2 b}",1,"(2*b*x + 2*a*CoshIntegral[2*(a + b*x)] - 2*a*Log[a + b*x] - Sinh[2*(a + b*x)] + 4*(-Cosh[a + b*x] + b*x*Sinh[a + b*x])*SinhIntegral[a + b*x] + 2*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
61,1,45,46,0.0249981,"\int \cosh (a+b x) \text{Shi}(a+b x) \, dx","Integrate[Cosh[a + b*x]*SinhIntegral[a + b*x],x]","-\frac{\text{Chi}(2 (a+b x))}{2 b}+\frac{\text{Shi}(a+b x) \sinh (a+b x)}{b}+\frac{\log (a+b x)}{2 b}","-\frac{\text{Chi}(2 a+2 b x)}{2 b}+\frac{\text{Shi}(a+b x) \sinh (a+b x)}{b}+\frac{\log (a+b x)}{2 b}",1,"-1/2*CoshIntegral[2*(a + b*x)]/b + Log[a + b*x]/(2*b) + (Sinh[a + b*x]*SinhIntegral[a + b*x])/b","A",1
62,0,0,19,0.9678603,"\int \frac{\cosh (a+b x) \text{Shi}(a+b x)}{x} \, dx","Integrate[(Cosh[a + b*x]*SinhIntegral[a + b*x])/x,x]","\int \frac{\cosh (a+b x) \text{Shi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Shi}(a+b x) \cosh (a+b x)}{x},x\right)",0,"Integrate[(Cosh[a + b*x]*SinhIntegral[a + b*x])/x, x]","A",-1
63,1,887,371,16.3361252,"\int x \sinh (a+b x) \text{Shi}(c+d x) \, dx","Integrate[x*Sinh[a + b*x]*SinhIntegral[c + d*x],x]","\frac{4 d x \cosh (a+b x) \text{Shi}(c+d x) b^3-c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3-c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+2 c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^3+c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3-c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3+2 d \cosh (a-c+b x-d x) b^2-2 d \cosh (a+c+(b+d) x) b^2-4 d \sinh (a+b x) \text{Shi}(c+d x) b^2-d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2-d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+2 d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^2-d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2+d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2+2 d^2 \cosh (a-c+b x-d x) b+2 d^2 \cosh (a+c+(b+d) x) b-4 d^3 x \cosh (a+b x) \text{Shi}(c+d x) b+c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b+c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-2 c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b-c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b+c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-2 \left(b^2-d^2\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right) \left(d \cosh \left(a-\frac{b c}{d}\right)+b c \sinh \left(a-\frac{b c}{d}\right)\right)+2 \left(b^2-d^2\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \left(d \cosh \left(a-\frac{b c}{d}\right)+b c \sinh \left(a-\frac{b c}{d}\right)\right)+4 d^3 \sinh (a+b x) \text{Shi}(c+d x)+d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)+d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)-d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b^2 (b-d) d (b+d)}","-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\sinh (a+b x) \text{Shi}(c+d x)}{b^2}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{x \cosh (a+b x) \text{Shi}(c+d x)}{b}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\cosh (a+x (b-d)-c)}{2 b (b-d)}-\frac{\cosh (a+x (b+d)+c)}{2 b (b+d)}",1,"(2*b^2*d*Cosh[a - c + b*x - d*x] + 2*b*d^2*Cosh[a - c + b*x - d*x] - 2*b^2*d*Cosh[a + c + (b + d)*x] + 2*b*d^2*Cosh[a + c + (b + d)*x] - 2*(b^2 - d^2)*CoshIntegral[-(((b - d)*(c + d*x))/d)]*(d*Cosh[a - (b*c)/d] + b*c*Sinh[a - (b*c)/d]) + 2*(b^2 - d^2)*CoshIntegral[((b + d)*(c + d*x))/d]*(d*Cosh[a - (b*c)/d] + b*c*Sinh[a - (b*c)/d]) + 4*b^3*d*x*Cosh[a + b*x]*SinhIntegral[c + d*x] - 4*b*d^3*x*Cosh[a + b*x]*SinhIntegral[c + d*x] - 4*b^2*d*Sinh[a + b*x]*SinhIntegral[c + d*x] + 4*d^3*Sinh[a + b*x]*SinhIntegral[c + d*x] - b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + 2*b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + d^3*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - d^3*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b^2*(b - d)*d*(b + d))","B",1
64,1,209,153,2.1519111,"\int \sinh (a+b x) \text{Shi}(c+d x) \, dx","Integrate[Sinh[a + b*x]*SinhIntegral[c + d*x],x]","\frac{2 \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right)-2 \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+4 \cosh (a+b x) \text{Shi}(c+d x)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b}","\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\cosh (a+b x) \text{Shi}(c+d x)}{b}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"(2*CoshIntegral[-(((b - d)*(c + d*x))/d)]*Sinh[a - (b*c)/d] - 2*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] + 4*Cosh[a + b*x]*SinhIntegral[c + d*x] + Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - 2*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b)","A",1
65,0,0,19,10.4146351,"\int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx","Integrate[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x,x]","\int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\sinh (a+b x) \text{Shi}(c+d x)}{x},x\right)",0,"Integrate[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x, x]","A",-1
66,1,887,371,7.2482815,"\int x \cosh (a+b x) \text{Shi}(c+d x) \, dx","Integrate[x*Cosh[a + b*x]*SinhIntegral[c + d*x],x]","\frac{4 d x \sinh (a+b x) \text{Shi}(c+d x) b^3-c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3-c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+2 c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^3-c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3+c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3+2 d \sinh (a-c+b x-d x) b^2-2 d \sinh (a+c+(b+d) x) b^2-4 d \cosh (a+b x) \text{Shi}(c+d x) b^2-d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2-d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+2 d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^2+d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2-d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2+2 d^2 \sinh (a-c+b x-d x) b+2 d^2 \sinh (a+c+(b+d) x) b-4 d^3 x \sinh (a+b x) \text{Shi}(c+d x) b+c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b+c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-2 c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b+c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-2 \left(b^2-d^2\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right) \left(b c \cosh \left(a-\frac{b c}{d}\right)+d \sinh \left(a-\frac{b c}{d}\right)\right)+2 \left(b^2-d^2\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \left(b c \cosh \left(a-\frac{b c}{d}\right)+d \sinh \left(a-\frac{b c}{d}\right)\right)+4 d^3 \cosh (a+b x) \text{Shi}(c+d x)+d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b^2 (b-d) d (b+d)}","-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\cosh (a+b x) \text{Shi}(c+d x)}{b^2}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{x \sinh (a+b x) \text{Shi}(c+d x)}{b}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{\sinh (a+x (b-d)-c)}{2 b (b-d)}-\frac{\sinh (a+x (b+d)+c)}{2 b (b+d)}",1,"(-2*(b^2 - d^2)*CoshIntegral[-(((b - d)*(c + d*x))/d)]*(b*c*Cosh[a - (b*c)/d] + d*Sinh[a - (b*c)/d]) + 2*(b^2 - d^2)*CoshIntegral[((b + d)*(c + d*x))/d]*(b*c*Cosh[a - (b*c)/d] + d*Sinh[a - (b*c)/d]) + 2*b^2*d*Sinh[a - c + b*x - d*x] + 2*b*d^2*Sinh[a - c + b*x - d*x] - 2*b^2*d*Sinh[a + c + (b + d)*x] + 2*b*d^2*Sinh[a + c + (b + d)*x] - 4*b^2*d*Cosh[a + b*x]*SinhIntegral[c + d*x] + 4*d^3*Cosh[a + b*x]*SinhIntegral[c + d*x] + 4*b^3*d*x*Sinh[a + b*x]*SinhIntegral[c + d*x] - 4*b*d^3*x*Sinh[a + b*x]*SinhIntegral[c + d*x] - b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + 2*b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - d^3*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + d^3*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b^2*(b - d)*d*(b + d))","B",1
67,1,209,153,0.5652478,"\int \cosh (a+b x) \text{Shi}(c+d x) \, dx","Integrate[Cosh[a + b*x]*SinhIntegral[c + d*x],x]","\frac{2 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right)-2 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right)+4 \sinh (a+b x) \text{Shi}(c+d x)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b}","\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\sinh (a+b x) \text{Shi}(c+d x)}{b}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"(2*Cosh[a - (b*c)/d]*CoshIntegral[-(((b - d)*(c + d*x))/d)] - 2*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] + 4*Sinh[a + b*x]*SinhIntegral[c + d*x] + Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - 2*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b)","A",1
68,0,0,19,10.4187731,"\int \frac{\cosh (a+b x) \text{Shi}(c+d x)}{x} \, dx","Integrate[(Cosh[a + b*x]*SinhIntegral[c + d*x])/x,x]","\int \frac{\cosh (a+b x) \text{Shi}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\cosh (a+b x) \text{Shi}(c+d x)}{x},x\right)",0,"Integrate[(Cosh[a + b*x]*SinhIntegral[c + d*x])/x, x]","A",-1
69,1,74,76,0.0564136,"\int x^m \text{Chi}(b x) \, dx","Integrate[x^m*CoshIntegral[b*x],x]","\frac{x^{m+1} \text{Chi}(b x)}{m+1}-\frac{-x^{m+1} (-b x)^{-m-1} \Gamma (m+1,-b x)-x^{m+1} (b x)^{-m-1} \Gamma (m+1,b x)}{2 (m+1)}","\frac{x^{m+1} \text{Chi}(b x)}{m+1}-\frac{x^m (-b x)^{-m} \Gamma (m+1,-b x)}{2 b (m+1)}+\frac{x^m (b x)^{-m} \Gamma (m+1,b x)}{2 b (m+1)}",1,"(x^(1 + m)*CoshIntegral[b*x])/(1 + m) - (-(x^(1 + m)*(-(b*x))^(-1 - m)*Gamma[1 + m, -(b*x)]) - x^(1 + m)*(b*x)^(-1 - m)*Gamma[1 + m, b*x])/(2*(1 + m))","A",1
70,1,53,63,0.035577,"\int x^3 \text{Chi}(b x) \, dx","Integrate[x^3*CoshIntegral[b*x],x]","\frac{3 \left(b^2 x^2+2\right) \cosh (b x)}{4 b^4}-\frac{x \left(b^2 x^2+6\right) \sinh (b x)}{4 b^3}+\frac{1}{4} x^4 \text{Chi}(b x)","\frac{3 \cosh (b x)}{2 b^4}-\frac{3 x \sinh (b x)}{2 b^3}+\frac{3 x^2 \cosh (b x)}{4 b^2}+\frac{1}{4} x^4 \text{Chi}(b x)-\frac{x^3 \sinh (b x)}{4 b}",1,"(3*(2 + b^2*x^2)*Cosh[b*x])/(4*b^4) + (x^4*CoshIntegral[b*x])/4 - (x*(6 + b^2*x^2)*Sinh[b*x])/(4*b^3)","A",1
71,1,44,49,0.0245671,"\int x^2 \text{Chi}(b x) \, dx","Integrate[x^2*CoshIntegral[b*x],x]","\frac{2 x \cosh (b x)}{3 b^2}-\frac{\left(b^2 x^2+2\right) \sinh (b x)}{3 b^3}+\frac{1}{3} x^3 \text{Chi}(b x)","-\frac{2 \sinh (b x)}{3 b^3}+\frac{2 x \cosh (b x)}{3 b^2}+\frac{1}{3} x^3 \text{Chi}(b x)-\frac{x^2 \sinh (b x)}{3 b}",1,"(2*x*Cosh[b*x])/(3*b^2) + (x^3*CoshIntegral[b*x])/3 - ((2 + b^2*x^2)*Sinh[b*x])/(3*b^3)","A",1
72,1,35,35,0.0070919,"\int x \text{Chi}(b x) \, dx","Integrate[x*CoshIntegral[b*x],x]","\frac{\cosh (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Chi}(b x)-\frac{x \sinh (b x)}{2 b}","\frac{\cosh (b x)}{2 b^2}+\frac{1}{2} x^2 \text{Chi}(b x)-\frac{x \sinh (b x)}{2 b}",1,"Cosh[b*x]/(2*b^2) + (x^2*CoshIntegral[b*x])/2 - (x*Sinh[b*x])/(2*b)","A",1
73,1,16,16,0.0014688,"\int \text{Chi}(b x) \, dx","Integrate[CoshIntegral[b*x],x]","x \text{Chi}(b x)-\frac{\sinh (b x)}{b}","x \text{Chi}(b x)-\frac{\sinh (b x)}{b}",1,"x*CoshIntegral[b*x] - Sinh[b*x]/b","A",1
74,1,52,52,0.0062235,"\int \frac{\text{Chi}(b x)}{x} \, dx","Integrate[CoshIntegral[b*x]/x,x]","-\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;b x)+\frac{1}{2} \log ^2(b x)+\gamma  \log (x)","-\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;-b x)+\frac{1}{2} b x \, _3F_3(1,1,1;2,2,2;b x)+\frac{1}{2} \log ^2(b x)+\gamma  \log (x)",1,"-1/2*(b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)]) + (b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, b*x])/2 + EulerGamma*Log[x] + Log[b*x]^2/2","A",1
75,1,25,25,0.0102903,"\int \frac{\text{Chi}(b x)}{x^2} \, dx","Integrate[CoshIntegral[b*x]/x^2,x]","-\frac{\text{Chi}(b x)}{x}+b \text{Shi}(b x)-\frac{\cosh (b x)}{x}","-\frac{\text{Chi}(b x)}{x}+b \text{Shi}(b x)-\frac{\cosh (b x)}{x}",1,"-(Cosh[b*x]/x) - CoshIntegral[b*x]/x + b*SinhIntegral[b*x]","A",1
76,1,46,46,0.012401,"\int \frac{\text{Chi}(b x)}{x^3} \, dx","Integrate[CoshIntegral[b*x]/x^3,x]","\frac{1}{4} b^2 \text{Chi}(b x)-\frac{\text{Chi}(b x)}{2 x^2}-\frac{\cosh (b x)}{4 x^2}-\frac{b \sinh (b x)}{4 x}","\frac{1}{4} b^2 \text{Chi}(b x)-\frac{\text{Chi}(b x)}{2 x^2}-\frac{\cosh (b x)}{4 x^2}-\frac{b \sinh (b x)}{4 x}",1,"-1/4*Cosh[b*x]/x^2 + (b^2*CoshIntegral[b*x])/4 - CoshIntegral[b*x]/(2*x^2) - (b*Sinh[b*x])/(4*x)","A",1
77,0,0,13,0.5684983,"\int x^m \text{Chi}(b x)^2 \, dx","Integrate[x^m*CoshIntegral[b*x]^2,x]","\int x^m \text{Chi}(b x)^2 \, dx","\text{Int}\left(x^m \text{Chi}(b x)^2,x\right)",0,"Integrate[x^m*CoshIntegral[b*x]^2, x]","A",-1
78,1,107,164,0.0954098,"\int x^3 \text{Chi}(b x)^2 \, dx","Integrate[x^3*CoshIntegral[b*x]^2,x]","\frac{2 b^4 x^4 \text{Chi}(b x)^2-4 \text{Chi}(b x) \left(b x \left(b^2 x^2+6\right) \sinh (b x)-3 \left(b^2 x^2+2\right) \cosh (b x)\right)-3 b^2 x^2+b^2 x^2 \cosh (2 b x)-12 \text{Chi}(2 b x)-4 b x \sinh (2 b x)+8 \cosh (2 b x)-12 \log (x)}{8 b^4}","-\frac{3 \text{Chi}(2 b x)}{2 b^4}+\frac{3 \text{Chi}(b x) \cosh (b x)}{b^4}-\frac{3 \log (x)}{2 b^4}+\frac{13 \sinh ^2(b x)}{8 b^4}+\frac{3 \cosh ^2(b x)}{8 b^4}-\frac{3 x \text{Chi}(b x) \sinh (b x)}{b^3}-\frac{x \sinh (b x) \cosh (b x)}{b^3}+\frac{3 x^2 \text{Chi}(b x) \cosh (b x)}{2 b^2}-\frac{x^2}{4 b^2}+\frac{x^2 \sinh ^2(b x)}{4 b^2}+\frac{1}{4} x^4 \text{Chi}(b x)^2-\frac{x^3 \text{Chi}(b x) \sinh (b x)}{2 b}",1,"(-3*b^2*x^2 + 8*Cosh[2*b*x] + b^2*x^2*Cosh[2*b*x] + 2*b^4*x^4*CoshIntegral[b*x]^2 - 12*CoshIntegral[2*b*x] - 12*Log[x] - 4*CoshIntegral[b*x]*(-3*(2 + b^2*x^2)*Cosh[b*x] + b*x*(6 + b^2*x^2)*Sinh[b*x]) - 4*b*x*Sinh[2*b*x])/(8*b^4)","A",1
79,1,78,112,0.0731264,"\int x^2 \text{Chi}(b x)^2 \, dx","Integrate[x^2*CoshIntegral[b*x]^2,x]","\frac{4 b^3 x^3 \text{Chi}(b x)^2-8 \text{Chi}(b x) \left(\left(b^2 x^2+2\right) \sinh (b x)-2 b x \cosh (b x)\right)+8 \text{Shi}(2 b x)-8 b x-5 \sinh (2 b x)+2 b x \cosh (2 b x)}{12 b^3}","-\frac{4 \text{Chi}(b x) \sinh (b x)}{3 b^3}+\frac{2 \text{Shi}(2 b x)}{3 b^3}-\frac{5 \sinh (b x) \cosh (b x)}{6 b^3}+\frac{4 x \text{Chi}(b x) \cosh (b x)}{3 b^2}-\frac{x}{2 b^2}+\frac{x \sinh ^2(b x)}{3 b^2}+\frac{1}{3} x^3 \text{Chi}(b x)^2-\frac{2 x^2 \text{Chi}(b x) \sinh (b x)}{3 b}",1,"(-8*b*x + 2*b*x*Cosh[2*b*x] + 4*b^3*x^3*CoshIntegral[b*x]^2 - 8*CoshIntegral[b*x]*(-2*b*x*Cosh[b*x] + (2 + b^2*x^2)*Sinh[b*x]) - 5*Sinh[2*b*x] + 8*SinhIntegral[2*b*x])/(12*b^3)","A",1
80,1,57,74,0.0434484,"\int x \text{Chi}(b x)^2 \, dx","Integrate[x*CoshIntegral[b*x]^2,x]","\frac{2 b^2 x^2 \text{Chi}(b x)^2-2 \text{Chi}(2 b x)+4 \text{Chi}(b x) (\cosh (b x)-b x \sinh (b x))+\cosh (2 b x)-2 \log (x)}{4 b^2}","-\frac{\text{Chi}(2 b x)}{2 b^2}+\frac{\text{Chi}(b x) \cosh (b x)}{b^2}-\frac{\log (x)}{2 b^2}+\frac{\sinh ^2(b x)}{2 b^2}+\frac{1}{2} x^2 \text{Chi}(b x)^2-\frac{x \text{Chi}(b x) \sinh (b x)}{b}",1,"(Cosh[2*b*x] + 2*b^2*x^2*CoshIntegral[b*x]^2 - 2*CoshIntegral[2*b*x] - 2*Log[x] + 4*CoshIntegral[b*x]*(Cosh[b*x] - b*x*Sinh[b*x]))/(4*b^2)","A",1
81,1,31,31,0.0070597,"\int \text{Chi}(b x)^2 \, dx","Integrate[CoshIntegral[b*x]^2,x]","x \text{Chi}(b x)^2-\frac{2 \text{Chi}(b x) \sinh (b x)}{b}+\frac{\text{Shi}(2 b x)}{b}","x \text{Chi}(b x)^2-\frac{2 \text{Chi}(b x) \sinh (b x)}{b}+\frac{\text{Shi}(2 b x)}{b}",1,"x*CoshIntegral[b*x]^2 - (2*CoshIntegral[b*x]*Sinh[b*x])/b + SinhIntegral[2*b*x]/b","A",1
82,0,0,13,0.1354926,"\int \frac{\text{Chi}(b x)^2}{x} \, dx","Integrate[CoshIntegral[b*x]^2/x,x]","\int \frac{\text{Chi}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(b x)^2}{x},x\right)",0,"Integrate[CoshIntegral[b*x]^2/x, x]","A",-1
83,0,0,13,0.159042,"\int \frac{\text{Chi}(b x)^2}{x^2} \, dx","Integrate[CoshIntegral[b*x]^2/x^2,x]","\int \frac{\text{Chi}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Chi}(b x)^2}{x^2},x\right)",0,"Integrate[CoshIntegral[b*x]^2/x^2, x]","A",-1
84,0,0,13,0.1886621,"\int \frac{\text{Chi}(b x)^2}{x^3} \, dx","Integrate[CoshIntegral[b*x]^2/x^3,x]","\int \frac{\text{Chi}(b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Chi}(b x)^2}{x^3},x\right)",0,"Integrate[CoshIntegral[b*x]^2/x^3, x]","A",-1
85,0,0,48,9.6515049,"\int x^m \text{Chi}(a+b x) \, dx","Integrate[x^m*CoshIntegral[a + b*x],x]","\int x^m \text{Chi}(a+b x) \, dx","\frac{x^{m+1} \text{Chi}(a+b x)}{m+1}-\frac{b \text{Int}\left(\frac{x^{m+1} \cosh (a+b x)}{a+b x},x\right)}{m+1}",0,"Integrate[x^m*CoshIntegral[a + b*x], x]","A",-1
86,1,94,184,0.1945563,"\int x^3 \text{Chi}(a+b x) \, dx","Integrate[x^3*CoshIntegral[a + b*x],x]","\frac{\left(b^4 x^4-a^4\right) \text{Chi}(a+b x)+\left(a^2-2 a b x+3 b^2 x^2+6\right) \cosh (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) \sinh (a+b x)}{4 b^4}","-\frac{a^4 \text{Chi}(a+b x)}{4 b^4}+\frac{a^3 \sinh (a+b x)}{4 b^4}+\frac{a^2 \cosh (a+b x)}{4 b^4}-\frac{a^2 x \sinh (a+b x)}{4 b^3}+\frac{a \sinh (a+b x)}{2 b^4}+\frac{3 \cosh (a+b x)}{2 b^4}-\frac{3 x \sinh (a+b x)}{2 b^3}-\frac{a x \cosh (a+b x)}{2 b^3}+\frac{a x^2 \sinh (a+b x)}{4 b^2}+\frac{3 x^2 \cosh (a+b x)}{4 b^2}+\frac{1}{4} x^4 \text{Chi}(a+b x)-\frac{x^3 \sinh (a+b x)}{4 b}",1,"((6 + a^2 - 2*a*b*x + 3*b^2*x^2)*Cosh[a + b*x] + (-a^4 + b^4*x^4)*CoshIntegral[a + b*x] + (2*a + a^3 - 6*b*x - a^2*b*x + a*b^2*x^2 - b^3*x^3)*Sinh[a + b*x])/(4*b^4)","A",1
87,1,64,118,0.175623,"\int x^2 \text{Chi}(a+b x) \, dx","Integrate[x^2*CoshIntegral[a + b*x],x]","-\frac{-\left(a^3+b^3 x^3\right) \text{Chi}(a+b x)+\left(a^2-a b x+b^2 x^2+2\right) \sinh (a+b x)+(a-2 b x) \cosh (a+b x)}{3 b^3}","\frac{a^3 \text{Chi}(a+b x)}{3 b^3}-\frac{a^2 \sinh (a+b x)}{3 b^3}-\frac{2 \sinh (a+b x)}{3 b^3}-\frac{a \cosh (a+b x)}{3 b^3}+\frac{a x \sinh (a+b x)}{3 b^2}+\frac{2 x \cosh (a+b x)}{3 b^2}+\frac{1}{3} x^3 \text{Chi}(a+b x)-\frac{x^2 \sinh (a+b x)}{3 b}",1,"-1/3*((a - 2*b*x)*Cosh[a + b*x] - (a^3 + b^3*x^3)*CoshIntegral[a + b*x] + (2 + a^2 - a*b*x + b^2*x^2)*Sinh[a + b*x])/b^3","A",1
88,1,47,71,0.1017427,"\int x \text{Chi}(a+b x) \, dx","Integrate[x*CoshIntegral[a + b*x],x]","\frac{\left(b^2 x^2-a^2\right) \text{Chi}(a+b x)+(a-b x) \sinh (a+b x)+\cosh (a+b x)}{2 b^2}","-\frac{a^2 \text{Chi}(a+b x)}{2 b^2}+\frac{a \sinh (a+b x)}{2 b^2}+\frac{\cosh (a+b x)}{2 b^2}+\frac{1}{2} x^2 \text{Chi}(a+b x)-\frac{x \sinh (a+b x)}{2 b}",1,"(Cosh[a + b*x] + (-a^2 + b^2*x^2)*CoshIntegral[a + b*x] + (a - b*x)*Sinh[a + b*x])/(2*b^2)","A",1
89,1,42,27,0.0354714,"\int \text{Chi}(a+b x) \, dx","Integrate[CoshIntegral[a + b*x],x]","x \text{Chi}(a+b x)+\frac{a \text{Chi}(a+b x)}{b}-\frac{\sinh (a) \cosh (b x)}{b}-\frac{\cosh (a) \sinh (b x)}{b}","\frac{(a+b x) \text{Chi}(a+b x)}{b}-\frac{\sinh (a+b x)}{b}",1,"(a*CoshIntegral[a + b*x])/b + x*CoshIntegral[a + b*x] - (Cosh[b*x]*Sinh[a])/b - (Cosh[a]*Sinh[b*x])/b","A",1
90,0,0,13,0.2646271,"\int \frac{\text{Chi}(a+b x)}{x} \, dx","Integrate[CoshIntegral[a + b*x]/x,x]","\int \frac{\text{Chi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x)}{x},x\right)",0,"Integrate[CoshIntegral[a + b*x]/x, x]","A",-1
91,1,39,46,0.1007547,"\int \frac{\text{Chi}(a+b x)}{x^2} \, dx","Integrate[CoshIntegral[a + b*x]/x^2,x]","\frac{-(a+b x) \text{Chi}(a+b x)+b x \cosh (a) \text{Chi}(b x)+b x \sinh (a) \text{Shi}(b x)}{a x}","-\frac{b \text{Chi}(a+b x)}{a}-\frac{\text{Chi}(a+b x)}{x}+\frac{b \cosh (a) \text{Chi}(b x)}{a}+\frac{b \sinh (a) \text{Shi}(b x)}{a}",1,"(b*x*Cosh[a]*CoshIntegral[b*x] - (a + b*x)*CoshIntegral[a + b*x] + b*x*Sinh[a]*SinhIntegral[b*x])/(a*x)","A",1
92,1,80,111,0.3030524,"\int \frac{\text{Chi}(a+b x)}{x^3} \, dx","Integrate[CoshIntegral[a + b*x]/x^3,x]","\frac{\left(b^2 x^2-a^2\right) \text{Chi}(a+b x)+b^2 x^2 (a \sinh (a)-\cosh (a)) \text{Chi}(b x)+b x (b x (a \cosh (a)-\sinh (a)) \text{Shi}(b x)-a \cosh (a+b x))}{2 a^2 x^2}","\frac{b^2 \text{Chi}(a+b x)}{2 a^2}-\frac{b^2 \cosh (a) \text{Chi}(b x)}{2 a^2}-\frac{b^2 \sinh (a) \text{Shi}(b x)}{2 a^2}+\frac{b^2 \sinh (a) \text{Chi}(b x)}{2 a}+\frac{b^2 \cosh (a) \text{Shi}(b x)}{2 a}-\frac{\text{Chi}(a+b x)}{2 x^2}-\frac{b \cosh (a+b x)}{2 a x}",1,"((-a^2 + b^2*x^2)*CoshIntegral[a + b*x] + b^2*x^2*CoshIntegral[b*x]*(-Cosh[a] + a*Sinh[a]) + b*x*(-(a*Cosh[a + b*x]) + b*x*(a*Cosh[a] - Sinh[a])*SinhIntegral[b*x]))/(2*a^2*x^2)","A",1
93,0,0,15,3.4542007,"\int x^m \text{Chi}(a+b x)^2 \, dx","Integrate[x^m*CoshIntegral[a + b*x]^2,x]","\int x^m \text{Chi}(a+b x)^2 \, dx","\text{Int}\left(x^m \text{Chi}(a+b x)^2,x\right)",0,"Integrate[x^m*CoshIntegral[a + b*x]^2, x]","A",-1
94,1,158,327,1.0784118,"\int x^2 \text{Chi}(a+b x)^2 \, dx","Integrate[x^2*CoshIntegral[a + b*x]^2,x]","\frac{4 \left(a^3+b^3 x^3\right) \text{Chi}(a+b x)^2-8 \text{Chi}(a+b x) \left(\left(a^2-a b x+b^2 x^2+2\right) \sinh (a+b x)+(a-2 b x) \cosh (a+b x)\right)+12 a^2 \text{Shi}(2 (a+b x))+12 a \text{Chi}(2 (a+b x))+8 \text{Shi}(2 (a+b x))+12 a \log (a+b x)-5 \sinh (2 (a+b x))-4 a \cosh (2 (a+b x))+2 b x \cosh (2 (a+b x))-8 a-8 b x}{12 b^3}","\frac{a^2 (a+b x) \text{Chi}(a+b x)^2}{3 b^3}-\frac{2 a^2 \text{Chi}(a+b x) \sinh (a+b x)}{3 b^3}+\frac{a^2 \text{Shi}(2 a+2 b x)}{b^3}+\frac{a \text{Chi}(2 a+2 b x)}{b^3}-\frac{4 \text{Chi}(a+b x) \sinh (a+b x)}{3 b^3}-\frac{2 a \text{Chi}(a+b x) \cosh (a+b x)}{3 b^3}+\frac{2 \text{Shi}(2 a+2 b x)}{3 b^3}+\frac{a \log (a+b x)}{b^3}-\frac{\sinh (2 a+2 b x)}{12 b^3}-\frac{a \cosh (2 a+2 b x)}{3 b^3}-\frac{2 \sinh (a+b x) \cosh (a+b x)}{3 b^3}-\frac{a x (a+b x) \text{Chi}(a+b x)^2}{3 b^2}+\frac{2 a x \text{Chi}(a+b x) \sinh (a+b x)}{3 b^2}+\frac{4 x \text{Chi}(a+b x) \cosh (a+b x)}{3 b^2}+\frac{x \cosh (2 a+2 b x)}{6 b^2}+\frac{x^2 (a+b x) \text{Chi}(a+b x)^2}{3 b}-\frac{2 x^2 \text{Chi}(a+b x) \sinh (a+b x)}{3 b}-\frac{2 x}{3 b^2}",1,"(-8*a - 8*b*x - 4*a*Cosh[2*(a + b*x)] + 2*b*x*Cosh[2*(a + b*x)] + 4*(a^3 + b^3*x^3)*CoshIntegral[a + b*x]^2 + 12*a*CoshIntegral[2*(a + b*x)] + 12*a*Log[a + b*x] - 8*CoshIntegral[a + b*x]*((a - 2*b*x)*Cosh[a + b*x] + (2 + a^2 - a*b*x + b^2*x^2)*Sinh[a + b*x]) - 5*Sinh[2*(a + b*x)] + 8*SinhIntegral[2*(a + b*x)] + 12*a^2*SinhIntegral[2*(a + b*x)])/(12*b^3)","A",1
95,1,95,154,0.188323,"\int x \text{Chi}(a+b x)^2 \, dx","Integrate[x*CoshIntegral[a + b*x]^2,x]","\frac{-2 \left(a^2-b^2 x^2\right) \text{Chi}(a+b x)^2-2 \text{Chi}(2 (a+b x))+4 \text{Chi}(a+b x) ((a-b x) \sinh (a+b x)+\cosh (a+b x))-4 a \text{Shi}(2 (a+b x))-2 \log (a+b x)+\cosh (2 (a+b x))}{4 b^2}","-\frac{a (a+b x) \text{Chi}(a+b x)^2}{2 b^2}-\frac{\text{Chi}(2 a+2 b x)}{2 b^2}+\frac{a \text{Chi}(a+b x) \sinh (a+b x)}{b^2}+\frac{\text{Chi}(a+b x) \cosh (a+b x)}{b^2}-\frac{a \text{Shi}(2 a+2 b x)}{b^2}-\frac{\log (a+b x)}{2 b^2}+\frac{\cosh (2 a+2 b x)}{4 b^2}+\frac{x (a+b x) \text{Chi}(a+b x)^2}{2 b}-\frac{x \text{Chi}(a+b x) \sinh (a+b x)}{b}",1,"(Cosh[2*(a + b*x)] - 2*(a^2 - b^2*x^2)*CoshIntegral[a + b*x]^2 - 2*CoshIntegral[2*(a + b*x)] - 2*Log[a + b*x] + 4*CoshIntegral[a + b*x]*(Cosh[a + b*x] + (a - b*x)*Sinh[a + b*x]) - 4*a*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
96,1,41,48,0.0098935,"\int \text{Chi}(a+b x)^2 \, dx","Integrate[CoshIntegral[a + b*x]^2,x]","\frac{(a+b x) \text{Chi}(a+b x)^2-2 \text{Chi}(a+b x) \sinh (a+b x)+\text{Shi}(2 (a+b x))}{b}","\frac{(a+b x) \text{Chi}(a+b x)^2}{b}-\frac{2 \text{Chi}(a+b x) \sinh (a+b x)}{b}+\frac{\text{Shi}(2 a+2 b x)}{b}",1,"((a + b*x)*CoshIntegral[a + b*x]^2 - 2*CoshIntegral[a + b*x]*Sinh[a + b*x] + SinhIntegral[2*(a + b*x)])/b","A",1
97,0,0,15,0.5075683,"\int \frac{\text{Chi}(a+b x)^2}{x} \, dx","Integrate[CoshIntegral[a + b*x]^2/x,x]","\int \frac{\text{Chi}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x)^2}{x},x\right)",0,"Integrate[CoshIntegral[a + b*x]^2/x, x]","A",-1
98,0,0,15,1.1026586,"\int \frac{\text{Chi}(a+b x)^2}{x^2} \, dx","Integrate[CoshIntegral[a + b*x]^2/x^2,x]","\int \frac{\text{Chi}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x)^2}{x^2},x\right)",0,"Integrate[CoshIntegral[a + b*x]^2/x^2, x]","A",-1
99,0,0,15,1.3411995,"\int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx","Integrate[CoshIntegral[a + b*x]^2/x^3,x]","\int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x)^2}{x^3},x\right)",0,"Integrate[CoshIntegral[a + b*x]^2/x^3, x]","A",-1
100,1,97,128,0.9217303,"\int x^2 \text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x^2*CoshIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{6} x^3 \left(2 \text{Chi}\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{(b d n-3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(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{Chi}\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-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{(b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^3*(2*CoshIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[-(((-3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] + ExpIntegralEi[((3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((3*a)/(b*n))*(c*x^n)^(3/n))))/6","A",1
101,1,97,128,0.89256,"\int x \text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x*CoshIntegral[d*(a + b*Log[c*x^n])],x]","\frac{1}{4} x^2 \left(2 \text{Chi}\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{(b d n-2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(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{Chi}\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-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{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^2*(2*CoshIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[-(((-2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] + ExpIntegralEi[((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^((2*a)/(b*n))*(c*x^n)^(2/n))))/4","A",1
102,1,93,119,0.8582771,"\int \text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[CoshIntegral[d*(a + b*Log[c*x^n])],x]","x \text{Chi}\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{(b d n-1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)","x \text{Chi}\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-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{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"x*CoshIntegral[d*(a + b*Log[c*x^n])] - (x*(ExpIntegralEi[-(((-1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))] + ExpIntegralEi[((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]))/(2*E^(a/(b*n))*(c*x^n)^n^(-1))","A",1
103,1,96,55,0.0789242,"\int \frac{\text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Integrate[CoshIntegral[d*(a + b*Log[c*x^n])]/x,x]","\frac{a \text{Chi}\left(a d+b \log \left(c x^n\right) d\right)}{b n}+\frac{\log \left(c x^n\right) \text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{n}-\frac{\sinh (a d) \cosh \left(b d \log \left(c x^n\right)\right)}{b d n}-\frac{\cosh (a d) \sinh \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{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{\sinh \left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b d n}",1,"(a*CoshIntegral[a*d + b*d*Log[c*x^n]])/(b*n) + (CoshIntegral[d*(a + b*Log[c*x^n])]*Log[c*x^n])/n - (Cosh[b*d*Log[c*x^n]]*Sinh[a*d])/(b*d*n) - (Cosh[a*d]*Sinh[b*d*Log[c*x^n]])/(b*d*n)","A",1
104,1,144,122,1.1023927,"\int \frac{\text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Integrate[CoshIntegral[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{1}{2} \exp \left(-\frac{(b d n-1) \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(b d n-1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(-\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right) \left(\sinh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)+\cosh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)\right)-\frac{\text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","-\frac{\text{Chi}\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-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{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x}",1,"-(CoshIntegral[d*(a + b*Log[c*x^n])]/x) + ((ExpIntegralEi[((-1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[-(((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))])*(Cosh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))] + Sinh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))]))/(2*E^(((-1 + b*d*n)*(a + b*(-(n*Log[x]) + Log[c*x^n])))/(b*n)))","A",0
105,1,146,130,1.1608779,"\int \frac{\text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Integrate[CoshIntegral[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{1}{4} \exp \left(-\frac{(b d n-2) \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)}{b n}\right) \left(\text{Ei}\left(\frac{(b d n-2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(-\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right) \left(\sinh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)+\cosh \left(d \left(a+b \left(\log \left(c x^n\right)-n \log (x)\right)\right)\right)\right)-\frac{\text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","-\frac{\text{Chi}\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-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{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{4 x^2}",1,"-1/2*CoshIntegral[d*(a + b*Log[c*x^n])]/x^2 + ((ExpIntegralEi[((-2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[-(((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))])*(Cosh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))] + Sinh[d*(a + b*(-(n*Log[x]) + Log[c*x^n]))]))/(4*E^(((-2 + b*d*n)*(a + b*(-(n*Log[x]) + Log[c*x^n])))/(b*n)))","A",0
106,1,119,167,1.9151106,"\int (e x)^m \text{Chi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[(e*x)^m*CoshIntegral[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^m \left(2 x \text{Chi}\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-b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)+\text{Ei}\left(\frac{(m+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{Chi}\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-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+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*CoshIntegral[d*(a + b*Log[c*x^n])] - (ExpIntegralEi[((1 + m - b*d*n)*(a + b*Log[c*x^n]))/(b*n)] + ExpIntegralEi[((1 + m + 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
107,1,96,96,0.0142399,"\int \frac{\cosh (b x) \text{Chi}(b x)}{x^3} \, dx","Integrate[(Cosh[b*x]*CoshIntegral[b*x])/x^3,x]","\frac{1}{4} b^2 \text{Chi}(b x)^2+b^2 \text{Chi}(2 b x)-\frac{\text{Chi}(b x) \cosh (b x)}{2 x^2}-\frac{b \text{Chi}(b x) \sinh (b x)}{2 x}-\frac{\cosh ^2(b x)}{4 x^2}-\frac{b \sinh (2 b x)}{4 x}-\frac{b \sinh (b x) \cosh (b x)}{2 x}","\frac{1}{4} b^2 \text{Chi}(b x)^2+b^2 \text{Chi}(2 b x)-\frac{\text{Chi}(b x) \cosh (b x)}{2 x^2}-\frac{b \text{Chi}(b x) \sinh (b x)}{2 x}-\frac{\cosh ^2(b x)}{4 x^2}-\frac{b \sinh (2 b x)}{4 x}-\frac{b \sinh (b x) \cosh (b x)}{2 x}",1,"-1/4*Cosh[b*x]^2/x^2 - (Cosh[b*x]*CoshIntegral[b*x])/(2*x^2) + (b^2*CoshIntegral[b*x]^2)/4 + b^2*CoshIntegral[2*b*x] - (b*Cosh[b*x]*Sinh[b*x])/(2*x) - (b*CoshIntegral[b*x]*Sinh[b*x])/(2*x) - (b*Sinh[2*b*x])/(4*x)","A",1
108,0,0,49,0.2037312,"\int \frac{\cosh (b x) \text{Chi}(b x)}{x^2} \, dx","Integrate[(Cosh[b*x]*CoshIntegral[b*x])/x^2,x]","\int \frac{\cosh (b x) \text{Chi}(b x)}{x^2} \, dx","b \text{Int}\left(\frac{\text{Chi}(b x) \sinh (b x)}{x},x\right)-\frac{\text{Chi}(b x) \cosh (b x)}{x}+b \text{Shi}(2 b x)-\frac{\cosh ^2(b x)}{x}",0,"Integrate[(Cosh[b*x]*CoshIntegral[b*x])/x^2, x]","A",-1
109,1,10,10,0.003032,"\int \frac{\cosh (b x) \text{Chi}(b x)}{x} \, dx","Integrate[(Cosh[b*x]*CoshIntegral[b*x])/x,x]","\frac{\text{Chi}(b x)^2}{2}","\frac{\text{Chi}(b x)^2}{2}",1,"CoshIntegral[b*x]^2/2","A",1
110,1,25,25,0.0108745,"\int \cosh (b x) \text{Chi}(b x) \, dx","Integrate[Cosh[b*x]*CoshIntegral[b*x],x]","\frac{\text{Chi}(b x) \sinh (b x)}{b}-\frac{\text{Shi}(2 b x)}{2 b}","\frac{\text{Chi}(b x) \sinh (b x)}{b}-\frac{\text{Shi}(2 b x)}{2 b}",1,"(CoshIntegral[b*x]*Sinh[b*x])/b - SinhIntegral[2*b*x]/(2*b)","A",1
111,1,46,61,0.048606,"\int x \cosh (b x) \text{Chi}(b x) \, dx","Integrate[x*Cosh[b*x]*CoshIntegral[b*x],x]","\frac{2 \text{Chi}(2 b x)+4 \text{Chi}(b x) (b x \sinh (b x)-\cosh (b x))-\cosh (2 b x)+2 \log (x)}{4 b^2}","\frac{\text{Chi}(2 b x)}{2 b^2}-\frac{\text{Chi}(b x) \cosh (b x)}{b^2}+\frac{\log (x)}{2 b^2}-\frac{\sinh ^2(b x)}{2 b^2}+\frac{x \text{Chi}(b x) \sinh (b x)}{b}",1,"(-Cosh[2*b*x] + 2*CoshIntegral[2*b*x] + 2*Log[x] + 4*CoshIntegral[b*x]*(-Cosh[b*x] + b*x*Sinh[b*x]))/(4*b^2)","A",1
112,1,64,90,0.0772383,"\int x^2 \cosh (b x) \text{Chi}(b x) \, dx","Integrate[x^2*Cosh[b*x]*CoshIntegral[b*x],x]","\frac{8 \text{Chi}(b x) \left(\left(b^2 x^2+2\right) \sinh (b x)-2 b x \cosh (b x)\right)-8 \text{Shi}(2 b x)+8 b x+5 \sinh (2 b x)-2 b x \cosh (2 b x)}{8 b^3}","\frac{2 \text{Chi}(b x) \sinh (b x)}{b^3}-\frac{\text{Shi}(2 b x)}{b^3}+\frac{5 \sinh (b x) \cosh (b x)}{4 b^3}-\frac{2 x \text{Chi}(b x) \cosh (b x)}{b^2}+\frac{3 x}{4 b^2}-\frac{x \sinh ^2(b x)}{2 b^2}+\frac{x^2 \text{Chi}(b x) \sinh (b x)}{b}",1,"(8*b*x - 2*b*x*Cosh[2*b*x] + 8*CoshIntegral[b*x]*(-2*b*x*Cosh[b*x] + (2 + b^2*x^2)*Sinh[b*x]) + 5*Sinh[2*b*x] - 8*SinhIntegral[2*b*x])/(8*b^3)","A",1
113,1,94,142,0.100344,"\int x^3 \cosh (b x) \text{Chi}(b x) \, dx","Integrate[x^3*Cosh[b*x]*CoshIntegral[b*x],x]","\frac{4 \text{Chi}(b x) \left(b x \left(b^2 x^2+6\right) \sinh (b x)-3 \left(b^2 x^2+2\right) \cosh (b x)\right)+3 b^2 x^2-b^2 x^2 \cosh (2 b x)+12 \text{Chi}(2 b x)+4 b x \sinh (2 b x)-8 \cosh (2 b x)+12 \log (x)}{4 b^4}","\frac{3 \text{Chi}(2 b x)}{b^4}-\frac{6 \text{Chi}(b x) \cosh (b x)}{b^4}+\frac{3 \log (x)}{b^4}-\frac{13 \sinh ^2(b x)}{4 b^4}-\frac{3 \cosh ^2(b x)}{4 b^4}+\frac{6 x \text{Chi}(b x) \sinh (b x)}{b^3}+\frac{2 x \sinh (b x) \cosh (b x)}{b^3}-\frac{3 x^2 \text{Chi}(b x) \cosh (b x)}{b^2}+\frac{x^2}{2 b^2}-\frac{x^2 \sinh ^2(b x)}{2 b^2}+\frac{x^3 \text{Chi}(b x) \sinh (b x)}{b}",1,"(3*b^2*x^2 - 8*Cosh[2*b*x] - b^2*x^2*Cosh[2*b*x] + 12*CoshIntegral[2*b*x] + 12*Log[x] + 4*CoshIntegral[b*x]*(-3*(2 + b^2*x^2)*Cosh[b*x] + b*x*(6 + b^2*x^2)*Sinh[b*x]) + 4*b*x*Sinh[2*b*x])/(4*b^4)","A",1
114,0,0,102,0.4280866,"\int \frac{\text{Chi}(b x) \sinh (b x)}{x^3} \, dx","Integrate[(CoshIntegral[b*x]*Sinh[b*x])/x^3,x]","\int \frac{\text{Chi}(b x) \sinh (b x)}{x^3} \, dx","\frac{1}{2} b^2 \text{Int}\left(\frac{\text{Chi}(b x) \sinh (b x)}{x},x\right)+b^2 \text{Shi}(2 b x)-\frac{\text{Chi}(b x) \sinh (b x)}{2 x^2}-\frac{b \text{Chi}(b x) \cosh (b x)}{2 x}-\frac{\sinh (2 b x)}{8 x^2}-\frac{b \cosh ^2(b x)}{2 x}-\frac{b \cosh (2 b x)}{4 x}",0,"Integrate[(CoshIntegral[b*x]*Sinh[b*x])/x^3, x]","A",-1
115,1,44,44,0.0064313,"\int \frac{\text{Chi}(b x) \sinh (b x)}{x^2} \, dx","Integrate[(CoshIntegral[b*x]*Sinh[b*x])/x^2,x]","\frac{1}{2} b \text{Chi}(b x)^2+b \text{Chi}(2 b x)-\frac{\text{Chi}(b x) \sinh (b x)}{x}-\frac{\sinh (2 b x)}{2 x}","\frac{1}{2} b \text{Chi}(b x)^2+b \text{Chi}(2 b x)-\frac{\text{Chi}(b x) \sinh (b x)}{x}-\frac{\sinh (2 b x)}{2 x}",1,"(b*CoshIntegral[b*x]^2)/2 + b*CoshIntegral[2*b*x] - (CoshIntegral[b*x]*Sinh[b*x])/x - Sinh[2*b*x]/(2*x)","A",1
116,0,0,15,0.2564721,"\int \frac{\text{Chi}(b x) \sinh (b x)}{x} \, dx","Integrate[(CoshIntegral[b*x]*Sinh[b*x])/x,x]","\int \frac{\text{Chi}(b x) \sinh (b x)}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(b x) \sinh (b x)}{x},x\right)",0,"Integrate[(CoshIntegral[b*x]*Sinh[b*x])/x, x]","A",-1
117,1,36,34,0.0113504,"\int \text{Chi}(b x) \sinh (b x) \, dx","Integrate[CoshIntegral[b*x]*Sinh[b*x],x]","-\frac{\text{Chi}(2 b x)}{2 b}+\frac{\text{Chi}(b x) \cosh (b x)}{b}-\frac{\log (b x)}{2 b}","-\frac{\text{Chi}(2 b x)}{2 b}+\frac{\text{Chi}(b x) \cosh (b x)}{b}-\frac{\log (x)}{2 b}",1,"(Cosh[b*x]*CoshIntegral[b*x])/b - CoshIntegral[2*b*x]/(2*b) - Log[b*x]/(2*b)","A",1
118,1,44,62,0.0717547,"\int x \text{Chi}(b x) \sinh (b x) \, dx","Integrate[x*CoshIntegral[b*x]*Sinh[b*x],x]","-\frac{\text{Chi}(b x) (4 \sinh (b x)-4 b x \cosh (b x))-2 \text{Shi}(2 b x)+2 b x+\sinh (2 b x)}{4 b^2}","-\frac{\text{Chi}(b x) \sinh (b x)}{b^2}+\frac{\text{Shi}(2 b x)}{2 b^2}-\frac{\sinh (b x) \cosh (b x)}{2 b^2}+\frac{x \text{Chi}(b x) \cosh (b x)}{b}-\frac{x}{2 b}",1,"-1/4*(2*b*x + CoshIntegral[b*x]*(-4*b*x*Cosh[b*x] + 4*Sinh[b*x]) + Sinh[2*b*x] - 2*SinhIntegral[2*b*x])/b^2","A",1
119,1,72,109,0.1094395,"\int x^2 \text{Chi}(b x) \sinh (b x) \, dx","Integrate[x^2*CoshIntegral[b*x]*Sinh[b*x],x]","-\frac{-8 \text{Chi}(b x) \left(\left(b^2 x^2+2\right) \cosh (b x)-2 b x \sinh (b x)\right)+2 b^2 x^2+8 \text{Chi}(2 b x)+2 b x \sinh (2 b x)-5 \cosh (2 b x)+8 \log (x)}{8 b^3}","-\frac{\text{Chi}(2 b x)}{b^3}+\frac{2 \text{Chi}(b x) \cosh (b x)}{b^3}-\frac{\log (x)}{b^3}+\frac{\sinh ^2(b x)}{b^3}+\frac{\cosh ^2(b x)}{4 b^3}-\frac{2 x \text{Chi}(b x) \sinh (b x)}{b^2}-\frac{x \sinh (b x) \cosh (b x)}{2 b^2}+\frac{x^2 \text{Chi}(b x) \cosh (b x)}{b}-\frac{x^2}{4 b}",1,"-1/8*(2*b^2*x^2 - 5*Cosh[2*b*x] + 8*CoshIntegral[2*b*x] + 8*Log[x] - 8*CoshIntegral[b*x]*((2 + b^2*x^2)*Cosh[b*x] - 2*b*x*Sinh[b*x]) + 2*b*x*Sinh[2*b*x])/b^3","A",1
120,1,94,146,0.0939248,"\int x^3 \text{Chi}(b x) \sinh (b x) \, dx","Integrate[x^3*CoshIntegral[b*x]*Sinh[b*x],x]","\frac{-2 b^3 x^3+12 \text{Chi}(b x) \left(b x \left(b^2 x^2+6\right) \cosh (b x)-3 \left(b^2 x^2+2\right) \sinh (b x)\right)-3 b^2 x^2 \sinh (2 b x)+36 \text{Shi}(2 b x)-36 b x-24 \sinh (2 b x)+12 b x \cosh (2 b x)}{12 b^4}","-\frac{6 \text{Chi}(b x) \sinh (b x)}{b^4}+\frac{3 \text{Shi}(2 b x)}{b^4}-\frac{4 \sinh (b x) \cosh (b x)}{b^4}+\frac{6 x \text{Chi}(b x) \cosh (b x)}{b^3}-\frac{5 x}{2 b^3}+\frac{3 x \sinh ^2(b x)}{2 b^3}+\frac{x \cosh ^2(b x)}{2 b^3}-\frac{3 x^2 \text{Chi}(b x) \sinh (b x)}{b^2}-\frac{x^2 \sinh (b x) \cosh (b x)}{2 b^2}+\frac{x^3 \text{Chi}(b x) \cosh (b x)}{b}-\frac{x^3}{6 b}",1,"(-36*b*x - 2*b^3*x^3 + 12*b*x*Cosh[2*b*x] + 12*CoshIntegral[b*x]*(b*x*(6 + b^2*x^2)*Cosh[b*x] - 3*(2 + b^2*x^2)*Sinh[b*x]) - 24*Sinh[2*b*x] - 3*b^2*x^2*Sinh[2*b*x] + 36*SinhIntegral[2*b*x])/(12*b^4)","A",1
121,1,27,29,0.0254639,"\int \text{Chi}(2 x) \sinh (5 x) \, dx","Integrate[CoshIntegral[2*x]*Sinh[5*x],x]","\frac{1}{10} (-\text{Chi}(3 x)-\text{Chi}(7 x)+2 \text{Chi}(2 x) \cosh (5 x))","-\frac{\text{Chi}(3 x)}{10}-\frac{\text{Chi}(7 x)}{10}+\frac{1}{5} \text{Chi}(2 x) \cosh (5 x)",1,"(2*Cosh[5*x]*CoshIntegral[2*x] - CoshIntegral[3*x] - CoshIntegral[7*x])/10","A",1
122,1,27,29,0.0222293,"\int \cosh (5 x) \text{Chi}(2 x) \, dx","Integrate[Cosh[5*x]*CoshIntegral[2*x],x]","\frac{1}{10} (2 \text{Chi}(2 x) \sinh (5 x)-\text{Shi}(3 x)-\text{Shi}(7 x))","\frac{1}{5} \text{Chi}(2 x) \sinh (5 x)-\frac{\text{Shi}(3 x)}{10}-\frac{\text{Shi}(7 x)}{10}",1,"(2*CoshIntegral[2*x]*Sinh[5*x] - SinhIntegral[3*x] - SinhIntegral[7*x])/10","A",1
123,1,134,220,0.3766463,"\int x^2 \text{Chi}(a+b x) \sinh (a+b x) \, dx","Integrate[x^2*CoshIntegral[a + b*x]*Sinh[a + b*x],x]","-\frac{4 \left(a^2+2\right) \text{Chi}(2 (a+b x))+4 a^2 \log (a+b x)-8 \text{Chi}(a+b x) \left(\left(b^2 x^2+2\right) \cosh (a+b x)-2 b x \sinh (a+b x)\right)+8 a \text{Shi}(2 (a+b x))-4 a b x+8 \log (a+b x)-2 a \sinh (2 (a+b x))+2 b x \sinh (2 (a+b x))-5 \cosh (2 (a+b x))+2 b^2 x^2}{8 b^3}","-\frac{a^2 \text{Chi}(2 a+2 b x)}{2 b^3}-\frac{a^2 \log (a+b x)}{2 b^3}-\frac{\text{Chi}(2 a+2 b x)}{b^3}+\frac{2 \text{Chi}(a+b x) \cosh (a+b x)}{b^3}-\frac{a \text{Shi}(2 a+2 b x)}{b^3}-\frac{\log (a+b x)}{b^3}+\frac{\cosh ^2(a+b x)}{4 b^3}+\frac{\cosh (2 a+2 b x)}{2 b^3}+\frac{a \sinh (a+b x) \cosh (a+b x)}{2 b^3}-\frac{2 x \text{Chi}(a+b x) \sinh (a+b x)}{b^2}+\frac{a x}{2 b^2}-\frac{x \sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x^2 \text{Chi}(a+b x) \cosh (a+b x)}{b}-\frac{x^2}{4 b}",1,"-1/8*(-4*a*b*x + 2*b^2*x^2 - 5*Cosh[2*(a + b*x)] + 4*(2 + a^2)*CoshIntegral[2*(a + b*x)] + 8*Log[a + b*x] + 4*a^2*Log[a + b*x] - 8*CoshIntegral[a + b*x]*((2 + b^2*x^2)*Cosh[a + b*x] - 2*b*x*Sinh[a + b*x]) - 2*a*Sinh[2*(a + b*x)] + 2*b*x*Sinh[2*(a + b*x)] + 8*a*SinhIntegral[2*(a + b*x)])/b^3","A",1
124,1,78,109,0.1861029,"\int x \text{Chi}(a+b x) \sinh (a+b x) \, dx","Integrate[x*CoshIntegral[a + b*x]*Sinh[a + b*x],x]","\frac{2 a \text{Chi}(2 (a+b x))+4 \text{Chi}(a+b x) (b x \cosh (a+b x)-\sinh (a+b x))+2 \text{Shi}(2 (a+b x))+2 a \log (a+b x)-\sinh (2 (a+b x))-2 b x}{4 b^2}","\frac{a \text{Chi}(2 a+2 b x)}{2 b^2}-\frac{\text{Chi}(a+b x) \sinh (a+b x)}{b^2}+\frac{\text{Shi}(2 a+2 b x)}{2 b^2}+\frac{a \log (a+b x)}{2 b^2}-\frac{\sinh (a+b x) \cosh (a+b x)}{2 b^2}+\frac{x \text{Chi}(a+b x) \cosh (a+b x)}{b}-\frac{x}{2 b}",1,"(-2*b*x + 2*a*CoshIntegral[2*(a + b*x)] + 2*a*Log[a + b*x] + 4*CoshIntegral[a + b*x]*(b*x*Cosh[a + b*x] - Sinh[a + b*x]) - Sinh[2*(a + b*x)] + 2*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
125,1,45,46,0.0246663,"\int \text{Chi}(a+b x) \sinh (a+b x) \, dx","Integrate[CoshIntegral[a + b*x]*Sinh[a + b*x],x]","-\frac{\text{Chi}(2 (a+b x))}{2 b}+\frac{\text{Chi}(a+b x) \cosh (a+b x)}{b}-\frac{\log (a+b x)}{2 b}","-\frac{\text{Chi}(2 a+2 b x)}{2 b}+\frac{\text{Chi}(a+b x) \cosh (a+b x)}{b}-\frac{\log (a+b x)}{2 b}",1,"(Cosh[a + b*x]*CoshIntegral[a + b*x])/b - CoshIntegral[2*(a + b*x)]/(2*b) - Log[a + b*x]/(2*b)","A",1
126,0,0,19,0.8929955,"\int \frac{\text{Chi}(a+b x) \sinh (a+b x)}{x} \, dx","Integrate[(CoshIntegral[a + b*x]*Sinh[a + b*x])/x,x]","\int \frac{\text{Chi}(a+b x) \sinh (a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x) \sinh (a+b x)}{x},x\right)",0,"Integrate[(CoshIntegral[a + b*x]*Sinh[a + b*x])/x, x]","A",-1
127,1,123,186,0.2785487,"\int x^2 \cosh (a+b x) \text{Chi}(a+b x) \, dx","Integrate[x^2*Cosh[a + b*x]*CoshIntegral[a + b*x],x]","\frac{-4 a^2 \text{Shi}(2 (a+b x))+8 \text{Chi}(a+b x) \left(\left(b^2 x^2+2\right) \sinh (a+b x)-2 b x \cosh (a+b x)\right)-8 a \text{Chi}(2 (a+b x))-8 \text{Shi}(2 (a+b x))-8 a \log (a+b x)+5 \sinh (2 (a+b x))+2 a \cosh (2 (a+b x))-2 b x \cosh (2 (a+b x))+8 b x}{8 b^3}","-\frac{a^2 \text{Shi}(2 a+2 b x)}{2 b^3}-\frac{a \text{Chi}(2 a+2 b x)}{b^3}+\frac{2 \text{Chi}(a+b x) \sinh (a+b x)}{b^3}-\frac{\text{Shi}(2 a+2 b x)}{b^3}-\frac{a \log (a+b x)}{b^3}+\frac{\sinh (2 a+2 b x)}{8 b^3}+\frac{a \cosh (2 a+2 b x)}{4 b^3}+\frac{\sinh (a+b x) \cosh (a+b x)}{b^3}-\frac{2 x \text{Chi}(a+b x) \cosh (a+b x)}{b^2}-\frac{x \cosh (2 a+2 b x)}{4 b^2}+\frac{x^2 \text{Chi}(a+b x) \sinh (a+b x)}{b}+\frac{x}{b^2}",1,"(8*b*x + 2*a*Cosh[2*(a + b*x)] - 2*b*x*Cosh[2*(a + b*x)] - 8*a*CoshIntegral[2*(a + b*x)] - 8*a*Log[a + b*x] + 8*CoshIntegral[a + b*x]*(-2*b*x*Cosh[a + b*x] + (2 + b^2*x^2)*Sinh[a + b*x]) + 5*Sinh[2*(a + b*x)] - 8*SinhIntegral[2*(a + b*x)] - 4*a^2*SinhIntegral[2*(a + b*x)])/(8*b^3)","A",1
128,1,73,97,0.1603207,"\int x \cosh (a+b x) \text{Chi}(a+b x) \, dx","Integrate[x*Cosh[a + b*x]*CoshIntegral[a + b*x],x]","\frac{2 \text{Chi}(2 (a+b x))+4 \text{Chi}(a+b x) (b x \sinh (a+b x)-\cosh (a+b x))+2 a \text{Shi}(2 (a+b x))+2 \log (a+b x)-\cosh (2 (a+b x))}{4 b^2}","\frac{\text{Chi}(2 a+2 b x)}{2 b^2}-\frac{\text{Chi}(a+b x) \cosh (a+b x)}{b^2}+\frac{a \text{Shi}(2 a+2 b x)}{2 b^2}+\frac{\log (a+b x)}{2 b^2}-\frac{\cosh (2 a+2 b x)}{4 b^2}+\frac{x \text{Chi}(a+b x) \sinh (a+b x)}{b}",1,"(-Cosh[2*(a + b*x)] + 2*CoshIntegral[2*(a + b*x)] + 2*Log[a + b*x] + 4*CoshIntegral[a + b*x]*(-Cosh[a + b*x] + b*x*Sinh[a + b*x]) + 2*a*SinhIntegral[2*(a + b*x)])/(4*b^2)","A",1
129,1,32,33,0.0156723,"\int \cosh (a+b x) \text{Chi}(a+b x) \, dx","Integrate[Cosh[a + b*x]*CoshIntegral[a + b*x],x]","\frac{\text{Chi}(a+b x) \sinh (a+b x)}{b}-\frac{\text{Shi}(2 (a+b x))}{2 b}","\frac{\text{Chi}(a+b x) \sinh (a+b x)}{b}-\frac{\text{Shi}(2 a+2 b x)}{2 b}",1,"(CoshIntegral[a + b*x]*Sinh[a + b*x])/b - SinhIntegral[2*(a + b*x)]/(2*b)","A",1
130,0,0,19,0.5145928,"\int \frac{\cosh (a+b x) \text{Chi}(a+b x)}{x} \, dx","Integrate[(Cosh[a + b*x]*CoshIntegral[a + b*x])/x,x]","\int \frac{\cosh (a+b x) \text{Chi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Chi}(a+b x) \cosh (a+b x)}{x},x\right)",0,"Integrate[(Cosh[a + b*x]*CoshIntegral[a + b*x])/x, x]","A",-1
131,1,916,371,8.7210807,"\int x \text{Chi}(c+d x) \sinh (a+b x) \, dx","Integrate[x*CoshIntegral[c + d*x]*Sinh[a + b*x],x]","\frac{2 c \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) b^3+c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+2 c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^3+c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3-c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3+2 d \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \sinh \left(a-\frac{b c}{d}\right) b^2-2 d \sinh (a-c+b x-d x) b^2-2 d \sinh (a+c+(b+d) x) b^2+d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+2 d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^2-d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2+d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2-2 c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) b-2 d^2 \sinh (a-c+b x-d x) b+2 d^2 \sinh (a+c+(b+d) x) b-c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-2 c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b-c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b+c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-2 d^3 \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \sinh \left(a-\frac{b c}{d}\right)+2 \left(b^2-d^2\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right) \left(b c \cosh \left(a-\frac{b c}{d}\right)+d \sinh \left(a-\frac{b c}{d}\right)\right)+4 d \left(b^2-d^2\right) \text{Chi}(c+d x) (b x \cosh (a+b x)-\sinh (a+b x))-d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)+d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)-d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b^2 (b-d) d (b+d)}","\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}-\frac{\sinh (a+b x) \text{Chi}(c+d x)}{b^2}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{x \cosh (a+b x) \text{Chi}(c+d x)}{b}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{\sinh (a+x (b-d)-c)}{2 b (b-d)}-\frac{\sinh (a+x (b+d)+c)}{2 b (b+d)}",1,"(2*b^3*c*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] - 2*b*c*d^2*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] + 2*b^2*d*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] - 2*d^3*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] + 2*(b^2 - d^2)*CoshIntegral[-(((b - d)*(c + d*x))/d)]*(b*c*Cosh[a - (b*c)/d] + d*Sinh[a - (b*c)/d]) + 4*d*(b^2 - d^2)*CoshIntegral[c + d*x]*(b*x*Cosh[a + b*x] - Sinh[a + b*x]) - 2*b^2*d*Sinh[a - c + b*x - d*x] - 2*b*d^2*Sinh[a - c + b*x - d*x] - 2*b^2*d*Sinh[a + c + (b + d)*x] + 2*b*d^2*Sinh[a + c + (b + d)*x] + b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + 2*b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + d^3*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - d^3*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b^2*(b - d)*d*(b + d))","B",1
132,1,209,153,0.5939143,"\int \text{Chi}(c+d x) \sinh (a+b x) \, dx","Integrate[CoshIntegral[c + d*x]*Sinh[a + b*x],x]","-\frac{-4 \cosh (a+b x) \text{Chi}(c+d x)+2 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right)+2 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b}","-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}+\frac{\cosh (a+b x) \text{Chi}(c+d x)}{b}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"-1/4*(-4*Cosh[a + b*x]*CoshIntegral[c + d*x] + 2*Cosh[a - (b*c)/d]*CoshIntegral[-(((b - d)*(c + d*x))/d)] + 2*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] + Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/b","A",1
133,0,0,19,9.4559035,"\int \frac{\text{Chi}(c+d x) \sinh (a+b x)}{x} \, dx","Integrate[(CoshIntegral[c + d*x]*Sinh[a + b*x])/x,x]","\int \frac{\text{Chi}(c+d x) \sinh (a+b x)}{x} \, dx","\text{Int}\left(\frac{\sinh (a+b x) \text{Chi}(c+d x)}{x},x\right)",0,"Integrate[(CoshIntegral[c + d*x]*Sinh[a + b*x])/x, x]","A",-1
134,1,916,371,2.2494757,"\int x \cosh (a+b x) \text{Chi}(c+d x) \, dx","Integrate[x*Cosh[a + b*x]*CoshIntegral[c + d*x],x]","\frac{2 c \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \sinh \left(a-\frac{b c}{d}\right) b^3+c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^3+2 c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^3-c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3+c \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^3-2 d \cosh (a-c+b x-d x) b^2-2 d \cosh (a+c+(b+d) x) b^2+2 d \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) b^2+d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b^2+2 d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b^2+d \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2-d \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b^2-2 d^2 \cosh (a-c+b x-d x) b+2 d^2 \cosh (a+c+(b+d) x) b-2 c d^2 \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right) \sinh \left(a-\frac{b c}{d}\right) b-c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right) b-2 c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right) b+c d^2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-c d^2 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right) b-2 d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right)+2 \left(b^2-d^2\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right) \left(d \cosh \left(a-\frac{b c}{d}\right)+b c \sinh \left(a-\frac{b c}{d}\right)\right)+4 d \left(b^2-d^2\right) \text{Chi}(c+d x) (b x \sinh (a+b x)-\cosh (a+b x))-d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)-2 d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-d^3 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+d^3 \sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b^2 (b-d) d (b+d)}","\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}-\frac{\cosh (a+b x) \text{Chi}(c+d x)}{b^2}+\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b^2}+\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b^2}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}+\frac{x \sinh (a+b x) \text{Chi}(c+d x)}{b}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b d}+\frac{c \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b d}-\frac{\cosh (a+x (b-d)-c)}{2 b (b-d)}-\frac{\cosh (a+x (b+d)+c)}{2 b (b+d)}",1,"(-2*b^2*d*Cosh[a - c + b*x - d*x] - 2*b*d^2*Cosh[a - c + b*x - d*x] - 2*b^2*d*Cosh[a + c + (b + d)*x] + 2*b*d^2*Cosh[a + c + (b + d)*x] + 2*b^2*d*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] - 2*d^3*Cosh[a - (b*c)/d]*CoshIntegral[((b + d)*(c + d*x))/d] + 2*b^3*c*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] - 2*b*c*d^2*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] + 2*(b^2 - d^2)*CoshIntegral[-(((b - d)*(c + d*x))/d)]*(d*Cosh[a - (b*c)/d] + b*c*Sinh[a - (b*c)/d]) + 4*d*(b^2 - d^2)*CoshIntegral[c + d*x]*(-Cosh[a + b*x] + b*x*Sinh[a + b*x]) + b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - d^3*Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] - d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] + 2*b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - 2*d^3*Sinh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - b^3*c*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^2*d*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b*c*d^2*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - d^3*Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + b^3*c*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b^2*d*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] - b*c*d^2*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + d^3*Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/(4*b^2*(b - d)*d*(b + d))","B",1
135,1,209,153,0.5497956,"\int \cosh (a+b x) \text{Chi}(c+d x) \, dx","Integrate[Cosh[a + b*x]*CoshIntegral[c + d*x],x]","-\frac{2 \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(-\frac{(b-d) (c+d x)}{d}\right)+2 \sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(\frac{(b+d) (c+d x)}{d}\right)-4 \sinh (a+b x) \text{Chi}(c+d x)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+\sinh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)+\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b-d) (c+d x)}{d}\right)+2 \cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(\frac{(b+d) (c+d x)}{d}\right)-\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(-\frac{b c}{d}+c-b x+d x\right)}{4 b}","-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\sinh \left(a-\frac{b c}{d}\right) \text{Chi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}+\frac{\sinh (a+b x) \text{Chi}(c+d x)}{b}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b-d)+\frac{c (b-d)}{d}\right)}{2 b}-\frac{\cosh \left(a-\frac{b c}{d}\right) \text{Shi}\left(x (b+d)+\frac{c (b+d)}{d}\right)}{2 b}",1,"-1/4*(2*CoshIntegral[-(((b - d)*(c + d*x))/d)]*Sinh[a - (b*c)/d] + 2*CoshIntegral[((b + d)*(c + d*x))/d]*Sinh[a - (b*c)/d] - 4*CoshIntegral[c + d*x]*Sinh[a + b*x] + Cosh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + Sinh[a - (b*c)/d]*SinhIntegral[((b - d)*(c + d*x))/d] + 2*Cosh[a - (b*c)/d]*SinhIntegral[((b + d)*(c + d*x))/d] - Cosh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x] + Sinh[a - (b*c)/d]*SinhIntegral[c - (b*c)/d - b*x + d*x])/b","A",1
136,0,0,19,8.7675439,"\int \frac{\cosh (a+b x) \text{Chi}(c+d x)}{x} \, dx","Integrate[(Cosh[a + b*x]*CoshIntegral[c + d*x])/x,x]","\int \frac{\cosh (a+b x) \text{Chi}(c+d x)}{x} \, dx","\text{Int}\left(\frac{\cosh (a+b x) \text{Chi}(c+d x)}{x},x\right)",0,"Integrate[(Cosh[a + b*x]*CoshIntegral[c + d*x])/x, x]","A",-1