1,1,34,0,0.0355861,"\int x^3 \sinh \left(a+b x^2\right) \, dx","Int[x^3*Sinh[a + b*x^2],x]","\frac{x^2 \cosh \left(a+b x^2\right)}{2 b}-\frac{\sinh \left(a+b x^2\right)}{2 b^2}","\frac{x^2 \cosh \left(a+b x^2\right)}{2 b}-\frac{\sinh \left(a+b x^2\right)}{2 b^2}",1,"(x^2*Cosh[a + b*x^2])/(2*b) - Sinh[a + b*x^2]/(2*b^2)","A",3,3,12,0.2500,1,"{5320, 3296, 2637}"
2,1,69,0,0.0414219,"\int x^2 \sinh \left(a+b x^2\right) \, dx","Int[x^2*Sinh[a + b*x^2],x]","-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{8 b^{3/2}}-\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{8 b^{3/2}}+\frac{x \cosh \left(a+b x^2\right)}{2 b}","-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{8 b^{3/2}}-\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{8 b^{3/2}}+\frac{x \cosh \left(a+b x^2\right)}{2 b}",1,"(x*Cosh[a + b*x^2])/(2*b) - (Sqrt[Pi]*Erf[Sqrt[b]*x])/(8*b^(3/2)*E^a) - (E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/(8*b^(3/2))","A",4,4,12,0.3333,1,"{5324, 5299, 2204, 2205}"
3,1,15,0,0.0161585,"\int x \sinh \left(a+b x^2\right) \, dx","Int[x*Sinh[a + b*x^2],x]","\frac{\cosh \left(a+b x^2\right)}{2 b}","\frac{\cosh \left(a+b x^2\right)}{2 b}",1,"Cosh[a + b*x^2]/(2*b)","A",2,2,10,0.2000,1,"{5320, 2638}"
4,1,53,0,0.0182759,"\int \sinh \left(a+b x^2\right) \, dx","Int[Sinh[a + b*x^2],x]","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{4 \sqrt{b}}-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{4 \sqrt{b}}","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{4 \sqrt{b}}-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{4 \sqrt{b}}",1,"-(Sqrt[Pi]*Erf[Sqrt[b]*x])/(4*Sqrt[b]*E^a) + (E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/(4*Sqrt[b])","A",3,3,8,0.3750,1,"{5298, 2204, 2205}"
5,1,25,0,0.0353859,"\int \frac{\sinh \left(a+b x^2\right)}{x} \, dx","Int[Sinh[a + b*x^2]/x,x]","\frac{1}{2} \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} \cosh (a) \text{Shi}\left(b x^2\right)","\frac{1}{2} \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} \cosh (a) \text{Shi}\left(b x^2\right)",1,"(CoshIntegral[b*x^2]*Sinh[a])/2 + (Cosh[a]*SinhIntegral[b*x^2])/2","A",3,3,12,0.2500,1,"{5318, 5317, 5316}"
6,1,66,0,0.0345971,"\int \frac{\sinh \left(a+b x^2\right)}{x^2} \, dx","Int[Sinh[a + b*x^2]/x^2,x]","\frac{1}{2} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\sqrt{b} x\right)+\frac{1}{2} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\sqrt{b} x\right)-\frac{\sinh \left(a+b x^2\right)}{x}","\frac{1}{2} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\sqrt{b} x\right)+\frac{1}{2} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\sqrt{b} x\right)-\frac{\sinh \left(a+b x^2\right)}{x}",1,"(Sqrt[b]*Sqrt[Pi]*Erf[Sqrt[b]*x])/(2*E^a) + (Sqrt[b]*E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/2 - Sinh[a + b*x^2]/x","A",4,4,12,0.3333,1,"{5326, 5299, 2204, 2205}"
7,1,42,0,0.0922669,"\int \frac{\sinh \left(a+b x^2\right)}{x^3} \, dx","Int[Sinh[a + b*x^2]/x^3,x]","\frac{1}{2} b \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} b \sinh (a) \text{Shi}\left(b x^2\right)-\frac{\sinh \left(a+b x^2\right)}{2 x^2}","\frac{1}{2} b \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} b \sinh (a) \text{Shi}\left(b x^2\right)-\frac{\sinh \left(a+b x^2\right)}{2 x^2}",1,"(b*Cosh[a]*CoshIntegral[b*x^2])/2 - Sinh[a + b*x^2]/(2*x^2) + (b*Sinh[a]*SinhIntegral[b*x^2])/2","A",5,5,12,0.4167,1,"{5320, 3297, 3303, 3298, 3301}"
8,1,51,0,0.0499978,"\int x^3 \sinh ^2\left(a+b x^2\right) \, dx","Int[x^3*Sinh[a + b*x^2]^2,x]","-\frac{\sinh ^2\left(a+b x^2\right)}{8 b^2}+\frac{x^2 \sinh \left(a+b x^2\right) \cosh \left(a+b x^2\right)}{4 b}-\frac{x^4}{8}","-\frac{\sinh ^2\left(a+b x^2\right)}{8 b^2}+\frac{x^2 \sinh \left(a+b x^2\right) \cosh \left(a+b x^2\right)}{4 b}-\frac{x^4}{8}",1,"-x^4/8 + (x^2*Cosh[a + b*x^2]*Sinh[a + b*x^2])/(4*b) - Sinh[a + b*x^2]^2/(8*b^2)","A",3,3,14,0.2143,1,"{5320, 3310, 30}"
9,1,99,0,0.0956949,"\int x^2 \sinh ^2\left(a+b x^2\right) \, dx","Int[x^2*Sinh[a + b*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{-2 a} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} e^{2 a} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)}{32 b^{3/2}}+\frac{x \sinh \left(2 a+2 b x^2\right)}{8 b}-\frac{x^3}{6}","\frac{\sqrt{\frac{\pi }{2}} e^{-2 a} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} e^{2 a} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)}{32 b^{3/2}}+\frac{x \sinh \left(2 a+2 b x^2\right)}{8 b}-\frac{x^3}{6}",1,"-x^3/6 + (Sqrt[Pi/2]*Erf[Sqrt[2]*Sqrt[b]*x])/(32*b^(3/2)*E^(2*a)) - (E^(2*a)*Sqrt[Pi/2]*Erfi[Sqrt[2]*Sqrt[b]*x])/(32*b^(3/2)) + (x*Sinh[2*a + 2*b*x^2])/(8*b)","A",6,5,14,0.3571,1,"{5340, 5325, 5298, 2204, 2205}"
10,1,31,0,0.0274584,"\int x \sinh ^2\left(a+b x^2\right) \, dx","Int[x*Sinh[a + b*x^2]^2,x]","\frac{\sinh \left(a+b x^2\right) \cosh \left(a+b x^2\right)}{4 b}-\frac{x^2}{4}","\frac{\sinh \left(a+b x^2\right) \cosh \left(a+b x^2\right)}{4 b}-\frac{x^2}{4}",1,"-x^2/4 + (Cosh[a + b*x^2]*Sinh[a + b*x^2])/(4*b)","A",3,3,12,0.2500,1,"{5320, 2635, 8}"
11,1,78,0,0.0458216,"\int \sinh ^2\left(a+b x^2\right) \, dx","Int[Sinh[a + b*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{-2 a} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)}{8 \sqrt{b}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)}{8 \sqrt{b}}-\frac{x}{2}","\frac{\sqrt{\frac{\pi }{2}} e^{-2 a} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)}{8 \sqrt{b}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)}{8 \sqrt{b}}-\frac{x}{2}",1,"-x/2 + (Sqrt[Pi/2]*Erf[Sqrt[2]*Sqrt[b]*x])/(8*Sqrt[b]*E^(2*a)) + (E^(2*a)*Sqrt[Pi/2]*Erfi[Sqrt[2]*Sqrt[b]*x])/(8*Sqrt[b])","A",5,4,10,0.4000,1,"{5300, 5299, 2204, 2205}"
12,1,37,0,0.0585699,"\int \frac{\sinh ^2\left(a+b x^2\right)}{x} \, dx","Int[Sinh[a + b*x^2]^2/x,x]","\frac{1}{4} \cosh (2 a) \text{Chi}\left(2 b x^2\right)+\frac{1}{4} \sinh (2 a) \text{Shi}\left(2 b x^2\right)-\frac{\log (x)}{2}","\frac{1}{4} \cosh (2 a) \text{Chi}\left(2 b x^2\right)+\frac{1}{4} \sinh (2 a) \text{Shi}\left(2 b x^2\right)-\frac{\log (x)}{2}",1,"(Cosh[2*a]*CoshIntegral[2*b*x^2])/4 - Log[x]/2 + (Sinh[2*a]*SinhIntegral[2*b*x^2])/4","A",5,4,14,0.2857,1,"{5340, 5319, 5317, 5316}"
13,1,88,0,0.0676429,"\int \frac{\sinh ^2\left(a+b x^2\right)}{x^2} \, dx","Int[Sinh[a + b*x^2]^2/x^2,x]","-\frac{1}{2} \sqrt{\frac{\pi }{2}} e^{-2 a} \sqrt{b} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)+\frac{1}{2} \sqrt{\frac{\pi }{2}} e^{2 a} \sqrt{b} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)-\frac{\sinh ^2\left(a+b x^2\right)}{x}","-\frac{1}{2} \sqrt{\frac{\pi }{2}} e^{-2 a} \sqrt{b} \text{Erf}\left(\sqrt{2} \sqrt{b} x\right)+\frac{1}{2} \sqrt{\frac{\pi }{2}} e^{2 a} \sqrt{b} \text{Erfi}\left(\sqrt{2} \sqrt{b} x\right)-\frac{\sinh ^2\left(a+b x^2\right)}{x}",1,"-(Sqrt[b]*Sqrt[Pi/2]*Erf[Sqrt[2]*Sqrt[b]*x])/(2*E^(2*a)) + (Sqrt[b]*E^(2*a)*Sqrt[Pi/2]*Erfi[Sqrt[2]*Sqrt[b]*x])/2 - Sinh[a + b*x^2]^2/x","A",6,6,14,0.4286,1,"{5330, 5617, 5314, 5298, 2204, 2205}"
14,1,57,0,0.1210566,"\int \frac{\sinh ^2\left(a+b x^2\right)}{x^3} \, dx","Int[Sinh[a + b*x^2]^2/x^3,x]","\frac{1}{2} b \sinh (2 a) \text{Chi}\left(2 b x^2\right)+\frac{1}{2} b \cosh (2 a) \text{Shi}\left(2 b x^2\right)-\frac{\cosh \left(2 \left(a+b x^2\right)\right)}{4 x^2}+\frac{1}{4 x^2}","\frac{1}{2} b \sinh (2 a) \text{Chi}\left(2 b x^2\right)+\frac{1}{2} b \cosh (2 a) \text{Shi}\left(2 b x^2\right)-\frac{\cosh \left(2 \left(a+b x^2\right)\right)}{4 x^2}+\frac{1}{4 x^2}",1,"1/(4*x^2) - Cosh[2*(a + b*x^2)]/(4*x^2) + (b*CoshIntegral[2*b*x^2]*Sinh[2*a])/2 + (b*Cosh[2*a]*SinhIntegral[2*b*x^2])/2","A",7,6,14,0.4286,1,"{5340, 5321, 3297, 3303, 3298, 3301}"
15,1,79,0,0.0831019,"\int x^3 \sinh ^3\left(a+b x^2\right) \, dx","Int[x^3*Sinh[a + b*x^2]^3,x]","-\frac{\sinh ^3\left(a+b x^2\right)}{18 b^2}+\frac{\sinh \left(a+b x^2\right)}{3 b^2}-\frac{x^2 \cosh \left(a+b x^2\right)}{3 b}+\frac{x^2 \sinh ^2\left(a+b x^2\right) \cosh \left(a+b x^2\right)}{6 b}","-\frac{\sinh ^3\left(a+b x^2\right)}{18 b^2}+\frac{\sinh \left(a+b x^2\right)}{3 b^2}-\frac{x^2 \cosh \left(a+b x^2\right)}{3 b}+\frac{x^2 \sinh ^2\left(a+b x^2\right) \cosh \left(a+b x^2\right)}{6 b}",1,"-(x^2*Cosh[a + b*x^2])/(3*b) + Sinh[a + b*x^2]/(3*b^2) + (x^2*Cosh[a + b*x^2]*Sinh[a + b*x^2]^2)/(6*b) - Sinh[a + b*x^2]^3/(18*b^2)","A",4,4,14,0.2857,1,"{5320, 3310, 3296, 2637}"
16,1,160,0,0.1383979,"\int x^2 \sinh ^3\left(a+b x^2\right) \, dx","Int[x^2*Sinh[a + b*x^2]^3,x]","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{3}} e^{-3 a} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)}{96 b^{3/2}}+\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{3}} e^{3 a} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)}{96 b^{3/2}}-\frac{3 x \cosh \left(a+b x^2\right)}{8 b}+\frac{x \cosh \left(3 a+3 b x^2\right)}{24 b}","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{3}} e^{-3 a} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)}{96 b^{3/2}}+\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{32 b^{3/2}}-\frac{\sqrt{\frac{\pi }{3}} e^{3 a} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)}{96 b^{3/2}}-\frac{3 x \cosh \left(a+b x^2\right)}{8 b}+\frac{x \cosh \left(3 a+3 b x^2\right)}{24 b}",1,"(-3*x*Cosh[a + b*x^2])/(8*b) + (x*Cosh[3*a + 3*b*x^2])/(24*b) + (3*Sqrt[Pi]*Erf[Sqrt[b]*x])/(32*b^(3/2)*E^a) - (Sqrt[Pi/3]*Erf[Sqrt[3]*Sqrt[b]*x])/(96*b^(3/2)*E^(3*a)) + (3*E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/(32*b^(3/2)) - (E^(3*a)*Sqrt[Pi/3]*Erfi[Sqrt[3]*Sqrt[b]*x])/(96*b^(3/2))","A",10,5,14,0.3571,1,"{5340, 5324, 5299, 2204, 2205}"
17,1,33,0,0.0330922,"\int x \sinh ^3\left(a+b x^2\right) \, dx","Int[x*Sinh[a + b*x^2]^3,x]","\frac{\cosh ^3\left(a+b x^2\right)}{6 b}-\frac{\cosh \left(a+b x^2\right)}{2 b}","\frac{\cosh ^3\left(a+b x^2\right)}{6 b}-\frac{\cosh \left(a+b x^2\right)}{2 b}",1,"-Cosh[a + b*x^2]/(2*b) + Cosh[a + b*x^2]^3/(6*b)","A",3,2,12,0.1667,1,"{5320, 2633}"
18,1,125,0,0.0718229,"\int \sinh ^3\left(a+b x^2\right) \, dx","Int[Sinh[a + b*x^2]^3,x]","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{16 \sqrt{b}}-\frac{\sqrt{\frac{\pi }{3}} e^{-3 a} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)}{16 \sqrt{b}}-\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{16 \sqrt{b}}+\frac{\sqrt{\frac{\pi }{3}} e^{3 a} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)}{16 \sqrt{b}}","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x\right)}{16 \sqrt{b}}-\frac{\sqrt{\frac{\pi }{3}} e^{-3 a} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)}{16 \sqrt{b}}-\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x\right)}{16 \sqrt{b}}+\frac{\sqrt{\frac{\pi }{3}} e^{3 a} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)}{16 \sqrt{b}}",1,"(3*Sqrt[Pi]*Erf[Sqrt[b]*x])/(16*Sqrt[b]*E^a) - (Sqrt[Pi/3]*Erf[Sqrt[3]*Sqrt[b]*x])/(16*Sqrt[b]*E^(3*a)) - (3*E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/(16*Sqrt[b]) + (E^(3*a)*Sqrt[Pi/3]*Erfi[Sqrt[3]*Sqrt[b]*x])/(16*Sqrt[b])","A",8,4,10,0.4000,1,"{5300, 5298, 2204, 2205}"
19,1,55,0,0.0939522,"\int \frac{\sinh ^3\left(a+b x^2\right)}{x} \, dx","Int[Sinh[a + b*x^2]^3/x,x]","-\frac{3}{8} \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{8} \sinh (3 a) \text{Chi}\left(3 b x^2\right)-\frac{3}{8} \cosh (a) \text{Shi}\left(b x^2\right)+\frac{1}{8} \cosh (3 a) \text{Shi}\left(3 b x^2\right)","-\frac{3}{8} \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{8} \sinh (3 a) \text{Chi}\left(3 b x^2\right)-\frac{3}{8} \cosh (a) \text{Shi}\left(b x^2\right)+\frac{1}{8} \cosh (3 a) \text{Shi}\left(3 b x^2\right)",1,"(-3*CoshIntegral[b*x^2]*Sinh[a])/8 + (CoshIntegral[3*b*x^2]*Sinh[3*a])/8 - (3*Cosh[a]*SinhIntegral[b*x^2])/8 + (Cosh[3*a]*SinhIntegral[3*b*x^2])/8","A",8,4,14,0.2857,1,"{5340, 5318, 5317, 5316}"
20,1,136,0,0.1099613,"\int \frac{\sinh ^3\left(a+b x^2\right)}{x^2} \, dx","Int[Sinh[a + b*x^2]^3/x^2,x]","-\frac{3}{8} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\sqrt{b} x\right)+\frac{1}{8} \sqrt{3 \pi } e^{-3 a} \sqrt{b} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)-\frac{3}{8} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\sqrt{b} x\right)+\frac{1}{8} \sqrt{3 \pi } e^{3 a} \sqrt{b} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)-\frac{\sinh ^3\left(a+b x^2\right)}{x}","-\frac{3}{8} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\sqrt{b} x\right)+\frac{1}{8} \sqrt{3 \pi } e^{-3 a} \sqrt{b} \text{Erf}\left(\sqrt{3} \sqrt{b} x\right)-\frac{3}{8} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\sqrt{b} x\right)+\frac{1}{8} \sqrt{3 \pi } e^{3 a} \sqrt{b} \text{Erfi}\left(\sqrt{3} \sqrt{b} x\right)-\frac{\sinh ^3\left(a+b x^2\right)}{x}",1,"(-3*Sqrt[b]*Sqrt[Pi]*Erf[Sqrt[b]*x])/(8*E^a) + (Sqrt[b]*Sqrt[3*Pi]*Erf[Sqrt[3]*Sqrt[b]*x])/(8*E^(3*a)) - (3*Sqrt[b]*E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/8 + (Sqrt[b]*E^(3*a)*Sqrt[3*Pi]*Erfi[Sqrt[3]*Sqrt[b]*x])/8 - Sinh[a + b*x^2]^3/x","A",9,5,14,0.3571,1,"{5330, 5618, 5299, 2204, 2205}"
21,1,91,0,0.2138749,"\int \frac{\sinh ^3\left(a+b x^2\right)}{x^3} \, dx","Int[Sinh[a + b*x^2]^3/x^3,x]","-\frac{3}{8} b \cosh (a) \text{Chi}\left(b x^2\right)+\frac{3}{8} b \cosh (3 a) \text{Chi}\left(3 b x^2\right)-\frac{3}{8} b \sinh (a) \text{Shi}\left(b x^2\right)+\frac{3}{8} b \sinh (3 a) \text{Shi}\left(3 b x^2\right)+\frac{3 \sinh \left(a+b x^2\right)}{8 x^2}-\frac{\sinh \left(3 \left(a+b x^2\right)\right)}{8 x^2}","-\frac{3}{8} b \cosh (a) \text{Chi}\left(b x^2\right)+\frac{3}{8} b \cosh (3 a) \text{Chi}\left(3 b x^2\right)-\frac{3}{8} b \sinh (a) \text{Shi}\left(b x^2\right)+\frac{3}{8} b \sinh (3 a) \text{Shi}\left(3 b x^2\right)+\frac{3 \sinh \left(a+b x^2\right)}{8 x^2}-\frac{\sinh \left(3 \left(a+b x^2\right)\right)}{8 x^2}",1,"(-3*b*Cosh[a]*CoshIntegral[b*x^2])/8 + (3*b*Cosh[3*a]*CoshIntegral[3*b*x^2])/8 + (3*Sinh[a + b*x^2])/(8*x^2) - Sinh[3*(a + b*x^2)]/(8*x^2) - (3*b*Sinh[a]*SinhIntegral[b*x^2])/8 + (3*b*Sinh[3*a]*SinhIntegral[3*b*x^2])/8","A",12,6,14,0.4286,1,"{5340, 5320, 3297, 3303, 3298, 3301}"
22,1,67,0,0.0473215,"\int x \sinh ^7\left(a+b x^2\right) \, dx","Int[x*Sinh[a + b*x^2]^7,x]","\frac{\cosh ^7\left(a+b x^2\right)}{14 b}-\frac{3 \cosh ^5\left(a+b x^2\right)}{10 b}+\frac{\cosh ^3\left(a+b x^2\right)}{2 b}-\frac{\cosh \left(a+b x^2\right)}{2 b}","\frac{\cosh ^7\left(a+b x^2\right)}{14 b}-\frac{3 \cosh ^5\left(a+b x^2\right)}{10 b}+\frac{\cosh ^3\left(a+b x^2\right)}{2 b}-\frac{\cosh \left(a+b x^2\right)}{2 b}",1,"-Cosh[a + b*x^2]/(2*b) + Cosh[a + b*x^2]^3/(2*b) - (3*Cosh[a + b*x^2]^5)/(10*b) + Cosh[a + b*x^2]^7/(14*b)","A",3,2,12,0.1667,1,"{5320, 2633}"
23,0,0,0,0.0196521,"\int (e x)^m \sinh ^p\left(a+b x^2\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^2]^p,x]","\int (e x)^m \sinh ^p\left(a+b x^2\right) \, dx","\text{Int}\left((e x)^m \sinh ^p\left(a+b x^2\right),x\right)",0,"Defer[Int][(e*x)^m*Sinh[a + b*x^2]^p, x]","A",0,0,0,0,-1,"{}"
24,1,214,0,0.2012928,"\int (e x)^m \sinh ^3\left(a+b x^2\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^2]^3,x]","-\frac{e^{3 a} 3^{-\frac{m}{2}-\frac{1}{2}} \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-3 b x^2\right)}{16 e}+\frac{3 e^a \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-b x^2\right)}{16 e}-\frac{3 e^{-a} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},b x^2\right)}{16 e}+\frac{e^{-3 a} 3^{-\frac{m}{2}-\frac{1}{2}} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},3 b x^2\right)}{16 e}","-\frac{e^{3 a} 3^{-\frac{m}{2}-\frac{1}{2}} \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-3 b x^2\right)}{16 e}+\frac{3 e^a \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-b x^2\right)}{16 e}-\frac{3 e^{-a} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},b x^2\right)}{16 e}+\frac{e^{-3 a} 3^{-\frac{m}{2}-\frac{1}{2}} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},3 b x^2\right)}{16 e}",1,"-(3^(-1/2 - m/2)*E^(3*a)*(e*x)^(1 + m)*(-(b*x^2))^((-1 - m)/2)*Gamma[(1 + m)/2, -3*b*x^2])/(16*e) + (3*E^a*(e*x)^(1 + m)*(-(b*x^2))^((-1 - m)/2)*Gamma[(1 + m)/2, -(b*x^2)])/(16*e) - (3*(e*x)^(1 + m)*(b*x^2)^((-1 - m)/2)*Gamma[(1 + m)/2, b*x^2])/(16*e*E^a) + (3^(-1/2 - m/2)*(e*x)^(1 + m)*(b*x^2)^((-1 - m)/2)*Gamma[(1 + m)/2, 3*b*x^2])/(16*e*E^(3*a))","A",8,3,16,0.1875,1,"{5340, 5328, 2218}"
25,1,135,0,0.1476432,"\int (e x)^m \sinh ^2\left(a+b x^2\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^2]^2,x]","-\frac{e^{2 a} 2^{-\frac{m}{2}-\frac{7}{2}} \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-2 b x^2\right)}{e}-\frac{e^{-2 a} 2^{-\frac{m}{2}-\frac{7}{2}} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},2 b x^2\right)}{e}-\frac{(e x)^{m+1}}{2 e (m+1)}","-\frac{e^{2 a} 2^{-\frac{m}{2}-\frac{7}{2}} \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-2 b x^2\right)}{e}-\frac{e^{-2 a} 2^{-\frac{m}{2}-\frac{7}{2}} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},2 b x^2\right)}{e}-\frac{(e x)^{m+1}}{2 e (m+1)}",1,"-(e*x)^(1 + m)/(2*e*(1 + m)) - (2^(-7/2 - m/2)*E^(2*a)*(e*x)^(1 + m)*(-(b*x^2))^((-1 - m)/2)*Gamma[(1 + m)/2, -2*b*x^2])/e - (2^(-7/2 - m/2)*(e*x)^(1 + m)*(b*x^2)^((-1 - m)/2)*Gamma[(1 + m)/2, 2*b*x^2])/(e*E^(2*a))","A",5,3,16,0.1875,1,"{5340, 5329, 2218}"
26,1,95,0,0.0676833,"\int (e x)^m \sinh \left(a+b x^2\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^2],x]","\frac{e^{-a} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},b x^2\right)}{4 e}-\frac{e^a \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-b x^2\right)}{4 e}","\frac{e^{-a} \left(b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},b x^2\right)}{4 e}-\frac{e^a \left(-b x^2\right)^{\frac{1}{2} (-m-1)} (e x)^{m+1} \text{Gamma}\left(\frac{m+1}{2},-b x^2\right)}{4 e}",1,"-(E^a*(e*x)^(1 + m)*(-(b*x^2))^((-1 - m)/2)*Gamma[(1 + m)/2, -(b*x^2)])/(4*e) + ((e*x)^(1 + m)*(b*x^2)^((-1 - m)/2)*Gamma[(1 + m)/2, b*x^2])/(4*e*E^a)","A",3,2,14,0.1429,1,"{5328, 2218}"
27,0,0,0,0.0251673,"\int (e x)^m \text{csch}\left(a+b x^2\right) \, dx","Int[(e*x)^m*Csch[a + b*x^2],x]","\int (e x)^m \text{csch}\left(a+b x^2\right) \, dx","x^{-m} (e x)^m \text{Int}\left(x^m \text{csch}\left(a+b x^2\right),x\right)",0,"((e*x)^m*Defer[Int][x^m*Csch[a + b*x^2], x])/x^m","A",0,0,0,0,-1,"{}"
28,1,15,0,0.0203076,"\int x^3 \sinh \left(a+b x^4\right) \, dx","Int[x^3*Sinh[a + b*x^4],x]","\frac{\cosh \left(a+b x^4\right)}{4 b}","\frac{\cosh \left(a+b x^4\right)}{4 b}",1,"Cosh[a + b*x^4]/(4*b)","A",2,2,12,0.1667,1,"{5320, 2638}"
29,1,78,0,0.1434527,"\int x^2 \sinh \left(a+\frac{b}{x}\right) \, dx","Int[x^2*Sinh[a + b/x],x]","-\frac{1}{6} b^3 \cosh (a) \text{Chi}\left(\frac{b}{x}\right)-\frac{1}{6} b^3 \sinh (a) \text{Shi}\left(\frac{b}{x}\right)+\frac{1}{6} b^2 x \sinh \left(a+\frac{b}{x}\right)+\frac{1}{3} x^3 \sinh \left(a+\frac{b}{x}\right)+\frac{1}{6} b x^2 \cosh \left(a+\frac{b}{x}\right)","-\frac{1}{6} b^3 \cosh (a) \text{Chi}\left(\frac{b}{x}\right)-\frac{1}{6} b^3 \sinh (a) \text{Shi}\left(\frac{b}{x}\right)+\frac{1}{6} b^2 x \sinh \left(a+\frac{b}{x}\right)+\frac{1}{3} x^3 \sinh \left(a+\frac{b}{x}\right)+\frac{1}{6} b x^2 \cosh \left(a+\frac{b}{x}\right)",1,"(b*x^2*Cosh[a + b/x])/6 - (b^3*Cosh[a]*CoshIntegral[b/x])/6 + (b^2*x*Sinh[a + b/x])/6 + (x^3*Sinh[a + b/x])/3 - (b^3*Sinh[a]*SinhIntegral[b/x])/6","A",7,5,12,0.4167,1,"{5320, 3297, 3303, 3298, 3301}"
30,1,60,0,0.107096,"\int x \sinh \left(a+\frac{b}{x}\right) \, dx","Int[x*Sinh[a + b/x],x]","-\frac{1}{2} b^2 \sinh (a) \text{Chi}\left(\frac{b}{x}\right)-\frac{1}{2} b^2 \cosh (a) \text{Shi}\left(\frac{b}{x}\right)+\frac{1}{2} x^2 \sinh \left(a+\frac{b}{x}\right)+\frac{1}{2} b x \cosh \left(a+\frac{b}{x}\right)","-\frac{1}{2} b^2 \sinh (a) \text{Chi}\left(\frac{b}{x}\right)-\frac{1}{2} b^2 \cosh (a) \text{Shi}\left(\frac{b}{x}\right)+\frac{1}{2} x^2 \sinh \left(a+\frac{b}{x}\right)+\frac{1}{2} b x \cosh \left(a+\frac{b}{x}\right)",1,"(b*x*Cosh[a + b/x])/2 - (b^2*CoshIntegral[b/x]*Sinh[a])/2 + (x^2*Sinh[a + b/x])/2 - (b^2*Cosh[a]*SinhIntegral[b/x])/2","A",6,5,10,0.5000,1,"{5320, 3297, 3303, 3298, 3301}"
31,1,33,0,0.0757435,"\int \sinh \left(a+\frac{b}{x}\right) \, dx","Int[Sinh[a + b/x],x]","-b \cosh (a) \text{Chi}\left(\frac{b}{x}\right)-b \sinh (a) \text{Shi}\left(\frac{b}{x}\right)+x \sinh \left(a+\frac{b}{x}\right)","-b \cosh (a) \text{Chi}\left(\frac{b}{x}\right)-b \sinh (a) \text{Shi}\left(\frac{b}{x}\right)+x \sinh \left(a+\frac{b}{x}\right)",1,"-(b*Cosh[a]*CoshIntegral[b/x]) + x*Sinh[a + b/x] - b*Sinh[a]*SinhIntegral[b/x]","A",5,5,8,0.6250,1,"{5302, 3297, 3303, 3298, 3301}"
32,1,21,0,0.031971,"\int \frac{\sinh \left(a+\frac{b}{x}\right)}{x} \, dx","Int[Sinh[a + b/x]/x,x]","\sinh (a) \left(-\text{Chi}\left(\frac{b}{x}\right)\right)-\cosh (a) \text{Shi}\left(\frac{b}{x}\right)","\sinh (a) \left(-\text{Chi}\left(\frac{b}{x}\right)\right)-\cosh (a) \text{Shi}\left(\frac{b}{x}\right)",1,"-(CoshIntegral[b/x]*Sinh[a]) - Cosh[a]*SinhIntegral[b/x]","A",3,3,12,0.2500,1,"{5318, 5317, 5316}"
33,1,13,0,0.0169405,"\int \frac{\sinh \left(a+\frac{b}{x}\right)}{x^2} \, dx","Int[Sinh[a + b/x]/x^2,x]","-\frac{\cosh \left(a+\frac{b}{x}\right)}{b}","-\frac{\cosh \left(a+\frac{b}{x}\right)}{b}",1,"-(Cosh[a + b/x]/b)","A",2,2,12,0.1667,1,"{5320, 2638}"
34,1,29,0,0.0302479,"\int \frac{\sinh \left(a+\frac{b}{x}\right)}{x^3} \, dx","Int[Sinh[a + b/x]/x^3,x]","\frac{\sinh \left(a+\frac{b}{x}\right)}{b^2}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x}","\frac{\sinh \left(a+\frac{b}{x}\right)}{b^2}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x}",1,"-(Cosh[a + b/x]/(b*x)) + Sinh[a + b/x]/b^2","A",3,3,12,0.2500,1,"{5320, 3296, 2637}"
35,1,46,0,0.0538775,"\int \frac{\sinh \left(a+\frac{b}{x}\right)}{x^4} \, dx","Int[Sinh[a + b/x]/x^4,x]","\frac{2 \sinh \left(a+\frac{b}{x}\right)}{b^2 x}-\frac{2 \cosh \left(a+\frac{b}{x}\right)}{b^3}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x^2}","\frac{2 \sinh \left(a+\frac{b}{x}\right)}{b^2 x}-\frac{2 \cosh \left(a+\frac{b}{x}\right)}{b^3}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x^2}",1,"(-2*Cosh[a + b/x])/b^3 - Cosh[a + b/x]/(b*x^2) + (2*Sinh[a + b/x])/(b^2*x)","A",4,3,12,0.2500,1,"{5320, 3296, 2638}"
36,1,62,0,0.0795417,"\int \frac{\sinh \left(a+\frac{b}{x}\right)}{x^5} \, dx","Int[Sinh[a + b/x]/x^5,x]","\frac{3 \sinh \left(a+\frac{b}{x}\right)}{b^2 x^2}+\frac{6 \sinh \left(a+\frac{b}{x}\right)}{b^4}-\frac{6 \cosh \left(a+\frac{b}{x}\right)}{b^3 x}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x^3}","\frac{3 \sinh \left(a+\frac{b}{x}\right)}{b^2 x^2}+\frac{6 \sinh \left(a+\frac{b}{x}\right)}{b^4}-\frac{6 \cosh \left(a+\frac{b}{x}\right)}{b^3 x}-\frac{\cosh \left(a+\frac{b}{x}\right)}{b x^3}",1,"-(Cosh[a + b/x]/(b*x^3)) - (6*Cosh[a + b/x])/(b^3*x) + (6*Sinh[a + b/x])/b^4 + (3*Sinh[a + b/x])/(b^2*x^2)","A",5,3,12,0.2500,1,"{5320, 3296, 2637}"
37,1,146,0,0.2508171,"\int (e x)^m \sinh ^3\left(a+\frac{b}{x}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x]^3,x]","-\frac{1}{8} e^{3 a} b 3^{m+1} \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{3 b}{x}\right)+\frac{3}{8} e^a b \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{b}{x}\right)+\frac{3}{8} e^{-a} b \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{b}{x}\right)-\frac{1}{8} e^{-3 a} b 3^{m+1} \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{3 b}{x}\right)","-\frac{1}{8} e^{3 a} b 3^{m+1} \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{3 b}{x}\right)+\frac{3}{8} e^a b \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{b}{x}\right)+\frac{3}{8} e^{-a} b \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{b}{x}\right)-\frac{1}{8} e^{-3 a} b 3^{m+1} \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{3 b}{x}\right)",1,"-(3^(1 + m)*b*E^(3*a)*(-(b/x))^m*(e*x)^m*Gamma[-1 - m, (-3*b)/x])/8 + (3*b*E^a*(-(b/x))^m*(e*x)^m*Gamma[-1 - m, -(b/x)])/8 + (3*b*(b/x)^m*(e*x)^m*Gamma[-1 - m, b/x])/(8*E^a) - (3^(1 + m)*b*(b/x)^m*(e*x)^m*Gamma[-1 - m, (3*b)/x])/(8*E^(3*a))","A",9,4,16,0.2500,1,"{5350, 3312, 3308, 2181}"
38,1,90,0,0.1575824,"\int (e x)^m \sinh ^2\left(a+\frac{b}{x}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x]^2,x]","-e^{2 a} b 2^{m-1} \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{2 b}{x}\right)+e^{-2 a} b 2^{m-1} \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{2 b}{x}\right)-\frac{x (e x)^m}{2 (m+1)}","-e^{2 a} b 2^{m-1} \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{2 b}{x}\right)+e^{-2 a} b 2^{m-1} \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{2 b}{x}\right)-\frac{x (e x)^m}{2 (m+1)}",1,"-(x*(e*x)^m)/(2*(1 + m)) - 2^(-1 + m)*b*E^(2*a)*(-(b/x))^m*(e*x)^m*Gamma[-1 - m, (-2*b)/x] + (2^(-1 + m)*b*(b/x)^m*(e*x)^m*Gamma[-1 - m, (2*b)/x])/E^(2*a)","A",6,4,16,0.2500,1,"{5350, 3312, 3307, 2181}"
39,1,67,0,0.0875178,"\int (e x)^m \sinh \left(a+\frac{b}{x}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x],x]","-\frac{1}{2} e^a b \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{b}{x}\right)-\frac{1}{2} e^{-a} b \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{b}{x}\right)","-\frac{1}{2} e^a b \left(-\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,-\frac{b}{x}\right)-\frac{1}{2} e^{-a} b \left(\frac{b}{x}\right)^m (e x)^m \text{Gamma}\left(-m-1,\frac{b}{x}\right)",1,"-(b*E^a*(-(b/x))^m*(e*x)^m*Gamma[-1 - m, -(b/x)])/2 - (b*(b/x)^m*(e*x)^m*Gamma[-1 - m, b/x])/(2*E^a)","A",4,3,14,0.2143,1,"{5350, 3308, 2181}"
40,0,0,0,0.0236974,"\int (e x)^m \text{csch}\left(a+\frac{b}{x}\right) \, dx","Int[(e*x)^m*Csch[a + b/x],x]","\int (e x)^m \text{csch}\left(a+\frac{b}{x}\right) \, dx","x^{-m} (e x)^m \text{Int}\left(x^m \text{csch}\left(a+\frac{b}{x}\right),x\right)",0,"((e*x)^m*Defer[Int][x^m*Csch[a + b/x], x])/x^m","A",0,0,0,0,-1,"{}"
41,1,104,0,0.0903547,"\int x^4 \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[x^4*Sinh[a + b/x^2],x]","-\frac{2}{15} \sqrt{\pi } e^{-a} b^{5/2} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{2}{15} \sqrt{\pi } e^a b^{5/2} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+\frac{4}{15} b^2 x \sinh \left(a+\frac{b}{x^2}\right)+\frac{1}{5} x^5 \sinh \left(a+\frac{b}{x^2}\right)+\frac{2}{15} b x^3 \cosh \left(a+\frac{b}{x^2}\right)","-\frac{2}{15} \sqrt{\pi } e^{-a} b^{5/2} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{2}{15} \sqrt{\pi } e^a b^{5/2} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+\frac{4}{15} b^2 x \sinh \left(a+\frac{b}{x^2}\right)+\frac{1}{5} x^5 \sinh \left(a+\frac{b}{x^2}\right)+\frac{2}{15} b x^3 \cosh \left(a+\frac{b}{x^2}\right)",1,"(2*b*x^3*Cosh[a + b/x^2])/15 - (2*b^(5/2)*Sqrt[Pi]*Erf[Sqrt[b]/x])/(15*E^a) - (2*b^(5/2)*E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/15 + (4*b^2*x*Sinh[a + b/x^2])/15 + (x^5*Sinh[a + b/x^2])/5","A",7,6,12,0.5000,1,"{5346, 5326, 5327, 5299, 2204, 2205}"
42,1,62,0,0.1132545,"\int x^3 \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[x^3*Sinh[a + b/x^2],x]","-\frac{1}{4} b^2 \sinh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{4} b^2 \cosh (a) \text{Shi}\left(\frac{b}{x^2}\right)+\frac{1}{4} x^4 \sinh \left(a+\frac{b}{x^2}\right)+\frac{1}{4} b x^2 \cosh \left(a+\frac{b}{x^2}\right)","-\frac{1}{4} b^2 \sinh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{4} b^2 \cosh (a) \text{Shi}\left(\frac{b}{x^2}\right)+\frac{1}{4} x^4 \sinh \left(a+\frac{b}{x^2}\right)+\frac{1}{4} b x^2 \cosh \left(a+\frac{b}{x^2}\right)",1,"(b*x^2*Cosh[a + b/x^2])/4 - (b^2*CoshIntegral[b/x^2]*Sinh[a])/4 + (x^4*Sinh[a + b/x^2])/4 - (b^2*Cosh[a]*SinhIntegral[b/x^2])/4","A",6,5,12,0.4167,1,"{5320, 3297, 3303, 3298, 3301}"
43,1,86,0,0.0656322,"\int x^2 \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[x^2*Sinh[a + b/x^2],x]","\frac{1}{3} \sqrt{\pi } e^{-a} b^{3/2} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{1}{3} \sqrt{\pi } e^a b^{3/2} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+\frac{1}{3} x^3 \sinh \left(a+\frac{b}{x^2}\right)+\frac{2}{3} b x \cosh \left(a+\frac{b}{x^2}\right)","\frac{1}{3} \sqrt{\pi } e^{-a} b^{3/2} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{1}{3} \sqrt{\pi } e^a b^{3/2} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+\frac{1}{3} x^3 \sinh \left(a+\frac{b}{x^2}\right)+\frac{2}{3} b x \cosh \left(a+\frac{b}{x^2}\right)",1,"(2*b*x*Cosh[a + b/x^2])/3 + (b^(3/2)*Sqrt[Pi]*Erf[Sqrt[b]/x])/(3*E^a) - (b^(3/2)*E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/3 + (x^3*Sinh[a + b/x^2])/3","A",6,6,12,0.5000,1,"{5346, 5326, 5327, 5298, 2204, 2205}"
44,1,42,0,0.0821355,"\int x \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[x*Sinh[a + b/x^2],x]","-\frac{1}{2} b \cosh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} b \sinh (a) \text{Shi}\left(\frac{b}{x^2}\right)+\frac{1}{2} x^2 \sinh \left(a+\frac{b}{x^2}\right)","-\frac{1}{2} b \cosh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} b \sinh (a) \text{Shi}\left(\frac{b}{x^2}\right)+\frac{1}{2} x^2 \sinh \left(a+\frac{b}{x^2}\right)",1,"-(b*Cosh[a]*CoshIntegral[b/x^2])/2 + (x^2*Sinh[a + b/x^2])/2 - (b*Sinh[a]*SinhIntegral[b/x^2])/2","A",5,5,10,0.5000,1,"{5320, 3297, 3303, 3298, 3301}"
45,1,67,0,0.0436817,"\int \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[Sinh[a + b/x^2],x]","-\frac{1}{2} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{1}{2} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+x \sinh \left(a+\frac{b}{x^2}\right)","-\frac{1}{2} \sqrt{\pi } e^{-a} \sqrt{b} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)-\frac{1}{2} \sqrt{\pi } e^a \sqrt{b} \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)+x \sinh \left(a+\frac{b}{x^2}\right)",1,"-(Sqrt[b]*Sqrt[Pi]*Erf[Sqrt[b]/x])/(2*E^a) - (Sqrt[b]*E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/2 + x*Sinh[a + b/x^2]","A",5,5,8,0.6250,1,"{5302, 5326, 5299, 2204, 2205}"
46,1,25,0,0.0329483,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x} \, dx","Int[Sinh[a + b/x^2]/x,x]","-\frac{1}{2} \sinh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} \cosh (a) \text{Shi}\left(\frac{b}{x^2}\right)","-\frac{1}{2} \sinh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} \cosh (a) \text{Shi}\left(\frac{b}{x^2}\right)",1,"-(CoshIntegral[b/x^2]*Sinh[a])/2 - (Cosh[a]*SinhIntegral[b/x^2])/2","A",3,3,12,0.2500,1,"{5318, 5317, 5316}"
47,1,57,0,0.0311093,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^2} \, dx","Int[Sinh[a + b/x^2]/x^2,x]","\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{4 \sqrt{b}}-\frac{\sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{4 \sqrt{b}}","\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{4 \sqrt{b}}-\frac{\sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{4 \sqrt{b}}",1,"(Sqrt[Pi]*Erf[Sqrt[b]/x])/(4*Sqrt[b]*E^a) - (E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/(4*Sqrt[b])","A",4,4,12,0.3333,1,"{5346, 5298, 2204, 2205}"
48,1,15,0,0.0194359,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^3} \, dx","Int[Sinh[a + b/x^2]/x^3,x]","-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b}","-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b}",1,"-Cosh[a + b/x^2]/(2*b)","A",2,2,12,0.1667,1,"{5320, 2638}"
49,1,75,0,0.0480669,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^4} \, dx","Int[Sinh[a + b/x^2]/x^4,x]","\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{8 b^{3/2}}+\frac{\sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{8 b^{3/2}}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x}","\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{8 b^{3/2}}+\frac{\sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{8 b^{3/2}}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x}",1,"-Cosh[a + b/x^2]/(2*b*x) + (Sqrt[Pi]*Erf[Sqrt[b]/x])/(8*b^(3/2)*E^a) + (E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/(8*b^(3/2))","A",5,5,12,0.4167,1,"{5346, 5324, 5299, 2204, 2205}"
50,1,34,0,0.0335038,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^5} \, dx","Int[Sinh[a + b/x^2]/x^5,x]","\frac{\sinh \left(a+\frac{b}{x^2}\right)}{2 b^2}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^2}","\frac{\sinh \left(a+\frac{b}{x^2}\right)}{2 b^2}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^2}",1,"-Cosh[a + b/x^2]/(2*b*x^2) + Sinh[a + b/x^2]/(2*b^2)","A",3,3,12,0.2500,1,"{5320, 3296, 2637}"
51,1,93,0,0.0682972,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^6} \, dx","Int[Sinh[a + b/x^2]/x^6,x]","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{16 b^{5/2}}-\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{16 b^{5/2}}+\frac{3 \sinh \left(a+\frac{b}{x^2}\right)}{4 b^2 x}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^3}","\frac{3 \sqrt{\pi } e^{-a} \text{Erf}\left(\frac{\sqrt{b}}{x}\right)}{16 b^{5/2}}-\frac{3 \sqrt{\pi } e^a \text{Erfi}\left(\frac{\sqrt{b}}{x}\right)}{16 b^{5/2}}+\frac{3 \sinh \left(a+\frac{b}{x^2}\right)}{4 b^2 x}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^3}",1,"-Cosh[a + b/x^2]/(2*b*x^3) + (3*Sqrt[Pi]*Erf[Sqrt[b]/x])/(16*b^(5/2)*E^a) - (3*E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/(16*b^(5/2)) + (3*Sinh[a + b/x^2])/(4*b^2*x)","A",6,6,12,0.5000,1,"{5346, 5324, 5325, 5298, 2204, 2205}"
52,1,47,0,0.0586295,"\int \frac{\sinh \left(a+\frac{b}{x^2}\right)}{x^7} \, dx","Int[Sinh[a + b/x^2]/x^7,x]","\frac{\sinh \left(a+\frac{b}{x^2}\right)}{b^2 x^2}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{b^3}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^4}","\frac{\sinh \left(a+\frac{b}{x^2}\right)}{b^2 x^2}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{b^3}-\frac{\cosh \left(a+\frac{b}{x^2}\right)}{2 b x^4}",1,"-(Cosh[a + b/x^2]/b^3) - Cosh[a + b/x^2]/(2*b*x^4) + Sinh[a + b/x^2]/(b^2*x^2)","A",4,3,12,0.2500,1,"{5320, 3296, 2638}"
53,1,194,0,0.221037,"\int (e x)^m \sinh ^3\left(a+\frac{b}{x^2}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x^2]^3,x]","\frac{1}{16} e^{3 a} 3^{\frac{m+1}{2}} x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{3 b}{x^2}\right)-\frac{3}{16} e^a x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{b}{x^2}\right)+\frac{3}{16} e^{-a} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{b}{x^2}\right)-\frac{1}{16} e^{-3 a} 3^{\frac{m+1}{2}} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{3 b}{x^2}\right)","\frac{1}{16} e^{3 a} 3^{\frac{m+1}{2}} x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{3 b}{x^2}\right)-\frac{3}{16} e^a x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{b}{x^2}\right)+\frac{3}{16} e^{-a} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{b}{x^2}\right)-\frac{1}{16} e^{-3 a} 3^{\frac{m+1}{2}} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{3 b}{x^2}\right)",1,"(3^((1 + m)/2)*E^(3*a)*(-(b/x^2))^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, (-3*b)/x^2])/16 - (3*E^a*(-(b/x^2))^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, -(b/x^2)])/16 + (3*(b/x^2)^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, b/x^2])/(16*E^a) - (3^((1 + m)/2)*(b/x^2)^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, (3*b)/x^2])/(16*E^(3*a))","A",9,4,16,0.2500,1,"{5350, 5340, 5328, 2218}"
54,1,117,0,0.165759,"\int (e x)^m \sinh ^2\left(a+\frac{b}{x^2}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x^2]^2,x]","e^{2 a} 2^{\frac{m-5}{2}} x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{2 b}{x^2}\right)+e^{-2 a} 2^{\frac{m-5}{2}} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{2 b}{x^2}\right)-\frac{x (e x)^m}{2 (m+1)}","e^{2 a} 2^{\frac{m-5}{2}} x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{2 b}{x^2}\right)+e^{-2 a} 2^{\frac{m-5}{2}} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{2 b}{x^2}\right)-\frac{x (e x)^m}{2 (m+1)}",1,"-(x*(e*x)^m)/(2*(1 + m)) + 2^((-5 + m)/2)*E^(2*a)*(-(b/x^2))^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, (-2*b)/x^2] + (2^((-5 + m)/2)*(b/x^2)^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, (2*b)/x^2])/E^(2*a)","A",6,4,16,0.2500,1,"{5350, 5340, 5329, 2218}"
55,1,87,0,0.0869012,"\int (e x)^m \sinh \left(a+\frac{b}{x^2}\right) \, dx","Int[(e*x)^m*Sinh[a + b/x^2],x]","\frac{1}{4} e^a x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{b}{x^2}\right)-\frac{1}{4} e^{-a} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{b}{x^2}\right)","\frac{1}{4} e^a x \left(-\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),-\frac{b}{x^2}\right)-\frac{1}{4} e^{-a} x \left(\frac{b}{x^2}\right)^{\frac{m+1}{2}} (e x)^m \text{Gamma}\left(\frac{1}{2} (-m-1),\frac{b}{x^2}\right)",1,"(E^a*(-(b/x^2))^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, -(b/x^2)])/4 - ((b/x^2)^((1 + m)/2)*x*(e*x)^m*Gamma[(-1 - m)/2, b/x^2])/(4*E^a)","A",4,3,14,0.2143,1,"{5350, 5328, 2218}"
56,0,0,0,0.0240249,"\int (e x)^m \text{csch}\left(a+\frac{b}{x^2}\right) \, dx","Int[(e*x)^m*Csch[a + b/x^2],x]","\int (e x)^m \text{csch}\left(a+\frac{b}{x^2}\right) \, dx","x^{-m} (e x)^m \text{Int}\left(x^m \text{csch}\left(a+\frac{b}{x^2}\right),x\right)",0,"((e*x)^m*Defer[Int][x^m*Csch[a + b/x^2], x])/x^m","A",0,0,0,0,-1,"{}"
57,1,8,0,0.0119936,"\int \frac{\sinh \left(\sqrt{x}\right)}{\sqrt{x}} \, dx","Int[Sinh[Sqrt[x]]/Sqrt[x],x]","2 \cosh \left(\sqrt{x}\right)","2 \cosh \left(\sqrt{x}\right)",1,"2*Cosh[Sqrt[x]]","A",2,2,12,0.1667,1,"{5320, 2638}"
58,1,75,0,0.0738682,"\int x^2 \sinh \left(a+b x^n\right) \, dx","Int[x^2*Sinh[a + b*x^n],x]","\frac{e^{-a} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},b x^n\right)}{2 n}-\frac{e^a x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-b x^n\right)}{2 n}","\frac{e^{-a} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},b x^n\right)}{2 n}-\frac{e^a x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-b x^n\right)}{2 n}",1,"-(E^a*x^3*Gamma[3/n, -(b*x^n)])/(2*n*(-(b*x^n))^(3/n)) + (x^3*Gamma[3/n, b*x^n])/(2*E^a*n*(b*x^n)^(3/n))","A",3,2,12,0.1667,1,"{5360, 2218}"
59,1,75,0,0.0406622,"\int x \sinh \left(a+b x^n\right) \, dx","Int[x*Sinh[a + b*x^n],x]","\frac{e^{-a} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},b x^n\right)}{2 n}-\frac{e^a x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-b x^n\right)}{2 n}","\frac{e^{-a} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},b x^n\right)}{2 n}-\frac{e^a x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-b x^n\right)}{2 n}",1,"-(E^a*x^2*Gamma[2/n, -(b*x^n)])/(2*n*(-(b*x^n))^(2/n)) + (x^2*Gamma[2/n, b*x^n])/(2*E^a*n*(b*x^n)^(2/n))","A",3,2,10,0.2000,1,"{5360, 2218}"
60,1,67,0,0.0170829,"\int \sinh \left(a+b x^n\right) \, dx","Int[Sinh[a + b*x^n],x]","\frac{e^{-a} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},b x^n\right)}{2 n}-\frac{e^a x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-b x^n\right)}{2 n}","\frac{e^{-a} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},b x^n\right)}{2 n}-\frac{e^a x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-b x^n\right)}{2 n}",1,"-(E^a*x*Gamma[n^(-1), -(b*x^n)])/(2*n*(-(b*x^n))^n^(-1)) + (x*Gamma[n^(-1), b*x^n])/(2*E^a*n*(b*x^n)^n^(-1))","A",3,2,8,0.2500,1,"{5306, 2208}"
61,1,25,0,0.0372303,"\int \frac{\sinh \left(a+b x^n\right)}{x} \, dx","Int[Sinh[a + b*x^n]/x,x]","\frac{\sinh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{\cosh (a) \text{Shi}\left(b x^n\right)}{n}","\frac{\sinh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{\cosh (a) \text{Shi}\left(b x^n\right)}{n}",1,"(CoshIntegral[b*x^n]*Sinh[a])/n + (Cosh[a]*SinhIntegral[b*x^n])/n","A",3,3,12,0.2500,1,"{5318, 5317, 5316}"
62,1,71,0,0.0634738,"\int \frac{\sinh \left(a+b x^n\right)}{x^2} \, dx","Int[Sinh[a + b*x^n]/x^2,x]","\frac{e^{-a} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},b x^n\right)}{2 n x}-\frac{e^a \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-b x^n\right)}{2 n x}","\frac{e^{-a} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},b x^n\right)}{2 n x}-\frac{e^a \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-b x^n\right)}{2 n x}",1,"-(E^a*(-(b*x^n))^n^(-1)*Gamma[-n^(-1), -(b*x^n)])/(2*n*x) + ((b*x^n)^n^(-1)*Gamma[-n^(-1), b*x^n])/(2*E^a*n*x)","A",3,2,12,0.1667,1,"{5360, 2218}"
63,1,75,0,0.062377,"\int \frac{\sinh \left(a+b x^n\right)}{x^3} \, dx","Int[Sinh[a + b*x^n]/x^3,x]","\frac{e^{-a} \left(b x^n\right)^{2/n} \text{Gamma}\left(-\frac{2}{n},b x^n\right)}{2 n x^2}-\frac{e^a \left(-b x^n\right)^{2/n} \text{Gamma}\left(-\frac{2}{n},-b x^n\right)}{2 n x^2}","\frac{e^{-a} \left(b x^n\right)^{2/n} \text{Gamma}\left(-\frac{2}{n},b x^n\right)}{2 n x^2}-\frac{e^a \left(-b x^n\right)^{2/n} \text{Gamma}\left(-\frac{2}{n},-b x^n\right)}{2 n x^2}",1,"-(E^a*(-(b*x^n))^(2/n)*Gamma[-2/n, -(b*x^n)])/(2*n*x^2) + ((b*x^n)^(2/n)*Gamma[-2/n, b*x^n])/(2*E^a*n*x^2)","A",3,2,12,0.1667,1,"{5360, 2218}"
64,1,99,0,0.1368606,"\int x^2 \sinh ^2\left(a+b x^n\right) \, dx","Int[x^2*Sinh[a + b*x^n]^2,x]","-\frac{e^{2 a} 2^{-\frac{3}{n}-2} x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{3}{n}-2} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},2 b x^n\right)}{n}-\frac{x^3}{6}","-\frac{e^{2 a} 2^{-\frac{3}{n}-2} x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{3}{n}-2} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},2 b x^n\right)}{n}-\frac{x^3}{6}",1,"-x^3/6 - (2^(-2 - 3/n)*E^(2*a)*x^3*Gamma[3/n, -2*b*x^n])/(n*(-(b*x^n))^(3/n)) - (2^(-2 - 3/n)*x^3*Gamma[3/n, 2*b*x^n])/(E^(2*a)*n*(b*x^n)^(3/n))","A",5,3,14,0.2143,1,"{5362, 5361, 2218}"
65,1,99,0,0.1073948,"\int x \sinh ^2\left(a+b x^n\right) \, dx","Int[x*Sinh[a + b*x^n]^2,x]","-\frac{e^{2 a} 4^{-\frac{1}{n}-1} x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 4^{-\frac{1}{n}-1} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},2 b x^n\right)}{n}-\frac{x^2}{4}","-\frac{e^{2 a} 4^{-\frac{1}{n}-1} x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 4^{-\frac{1}{n}-1} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},2 b x^n\right)}{n}-\frac{x^2}{4}",1,"-x^2/4 - (4^(-1 - n^(-1))*E^(2*a)*x^2*Gamma[2/n, -2*b*x^n])/(n*(-(b*x^n))^(2/n)) - (4^(-1 - n^(-1))*x^2*Gamma[2/n, 2*b*x^n])/(E^(2*a)*n*(b*x^n)^(2/n))","A",5,3,12,0.2500,1,"{5362, 5361, 2218}"
66,1,89,0,0.0649043,"\int \sinh ^2\left(a+b x^n\right) \, dx","Int[Sinh[a + b*x^n]^2,x]","-\frac{e^{2 a} 2^{-\frac{1}{n}-2} x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{1}{n}-2} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},2 b x^n\right)}{n}-\frac{x}{2}","-\frac{e^{2 a} 2^{-\frac{1}{n}-2} x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{1}{n}-2} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},2 b x^n\right)}{n}-\frac{x}{2}",1,"-x/2 - (2^(-2 - n^(-1))*E^(2*a)*x*Gamma[n^(-1), -2*b*x^n])/(n*(-(b*x^n))^n^(-1)) - (2^(-2 - n^(-1))*x*Gamma[n^(-1), 2*b*x^n])/(E^(2*a)*n*(b*x^n)^n^(-1))","A",5,3,10,0.3000,1,"{5308, 5307, 2208}"
67,1,43,0,0.0639129,"\int \frac{\sinh ^2\left(a+b x^n\right)}{x} \, dx","Int[Sinh[a + b*x^n]^2/x,x]","\frac{\cosh (2 a) \text{Chi}\left(2 b x^n\right)}{2 n}+\frac{\sinh (2 a) \text{Shi}\left(2 b x^n\right)}{2 n}-\frac{\log (x)}{2}","\frac{\cosh (2 a) \text{Chi}\left(2 b x^n\right)}{2 n}+\frac{\sinh (2 a) \text{Shi}\left(2 b x^n\right)}{2 n}-\frac{\log (x)}{2}",1,"(Cosh[2*a]*CoshIntegral[2*b*x^n])/(2*n) - Log[x]/2 + (Sinh[2*a]*SinhIntegral[2*b*x^n])/(2*n)","A",5,4,14,0.2857,1,"{5362, 5319, 5317, 5316}"
68,1,91,0,0.1282835,"\int \frac{\sinh ^2\left(a+b x^n\right)}{x^2} \, dx","Int[Sinh[a + b*x^n]^2/x^2,x]","-\frac{e^{2 a} 2^{\frac{1}{n}-2} \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-2 b x^n\right)}{n x}-\frac{e^{-2 a} 2^{\frac{1}{n}-2} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},2 b x^n\right)}{n x}+\frac{1}{2 x}","-\frac{e^{2 a} 2^{\frac{1}{n}-2} \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-2 b x^n\right)}{n x}-\frac{e^{-2 a} 2^{\frac{1}{n}-2} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},2 b x^n\right)}{n x}+\frac{1}{2 x}",1,"1/(2*x) - (2^(-2 + n^(-1))*E^(2*a)*(-(b*x^n))^n^(-1)*Gamma[-n^(-1), -2*b*x^n])/(n*x) - (2^(-2 + n^(-1))*(b*x^n)^n^(-1)*Gamma[-n^(-1), 2*b*x^n])/(E^(2*a)*n*x)","A",5,3,14,0.2143,1,"{5362, 5361, 2218}"
69,1,166,0,0.1953887,"\int x^2 \sinh ^3\left(a+b x^n\right) \, dx","Int[x^2*Sinh[a + b*x^n]^3,x]","-\frac{e^{3 a} 3^{-3/n} x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 3^{-3/n} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},3 b x^n\right)}{8 n}","-\frac{e^{3 a} 3^{-3/n} x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x^3 \left(-b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 3^{-3/n} x^3 \left(b x^n\right)^{-3/n} \text{Gamma}\left(\frac{3}{n},3 b x^n\right)}{8 n}",1,"-(E^(3*a)*x^3*Gamma[3/n, -3*b*x^n])/(8*3^(3/n)*n*(-(b*x^n))^(3/n)) + (3*E^a*x^3*Gamma[3/n, -(b*x^n)])/(8*n*(-(b*x^n))^(3/n)) - (3*x^3*Gamma[3/n, b*x^n])/(8*E^a*n*(b*x^n)^(3/n)) + (x^3*Gamma[3/n, 3*b*x^n])/(8*3^(3/n)*E^(3*a)*n*(b*x^n)^(3/n))","A",8,3,14,0.2143,1,"{5362, 5360, 2218}"
70,1,166,0,0.1331395,"\int x \sinh ^3\left(a+b x^n\right) \, dx","Int[x*Sinh[a + b*x^n]^3,x]","-\frac{e^{3 a} 9^{-1/n} x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 9^{-1/n} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},3 b x^n\right)}{8 n}","-\frac{e^{3 a} 9^{-1/n} x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x^2 \left(-b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 9^{-1/n} x^2 \left(b x^n\right)^{-2/n} \text{Gamma}\left(\frac{2}{n},3 b x^n\right)}{8 n}",1,"-(E^(3*a)*x^2*Gamma[2/n, -3*b*x^n])/(8*9^n^(-1)*n*(-(b*x^n))^(2/n)) + (3*E^a*x^2*Gamma[2/n, -(b*x^n)])/(8*n*(-(b*x^n))^(2/n)) - (3*x^2*Gamma[2/n, b*x^n])/(8*E^a*n*(b*x^n)^(2/n)) + (x^2*Gamma[2/n, 3*b*x^n])/(8*9^n^(-1)*E^(3*a)*n*(b*x^n)^(2/n))","A",8,3,12,0.2500,1,"{5362, 5360, 2218}"
71,1,150,0,0.0755867,"\int \sinh ^3\left(a+b x^n\right) \, dx","Int[Sinh[a + b*x^n]^3,x]","-\frac{e^{3 a} 3^{-1/n} x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 3^{-1/n} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},3 b x^n\right)}{8 n}","-\frac{e^{3 a} 3^{-1/n} x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-3 b x^n\right)}{8 n}+\frac{3 e^a x \left(-b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},b x^n\right)}{8 n}+\frac{e^{-3 a} 3^{-1/n} x \left(b x^n\right)^{-1/n} \text{Gamma}\left(\frac{1}{n},3 b x^n\right)}{8 n}",1,"-(E^(3*a)*x*Gamma[n^(-1), -3*b*x^n])/(8*3^n^(-1)*n*(-(b*x^n))^n^(-1)) + (3*E^a*x*Gamma[n^(-1), -(b*x^n)])/(8*n*(-(b*x^n))^n^(-1)) - (3*x*Gamma[n^(-1), b*x^n])/(8*E^a*n*(b*x^n)^n^(-1)) + (x*Gamma[n^(-1), 3*b*x^n])/(8*3^n^(-1)*E^(3*a)*n*(b*x^n)^n^(-1))","A",8,3,10,0.3000,1,"{5308, 5306, 2208}"
72,1,67,0,0.0998284,"\int \frac{\sinh ^3\left(a+b x^n\right)}{x} \, dx","Int[Sinh[a + b*x^n]^3/x,x]","-\frac{3 \sinh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{\sinh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}-\frac{3 \cosh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{\cosh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}","-\frac{3 \sinh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{\sinh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}-\frac{3 \cosh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{\cosh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}",1,"(-3*CoshIntegral[b*x^n]*Sinh[a])/(4*n) + (CoshIntegral[3*b*x^n]*Sinh[3*a])/(4*n) - (3*Cosh[a]*SinhIntegral[b*x^n])/(4*n) + (Cosh[3*a]*SinhIntegral[3*b*x^n])/(4*n)","A",8,4,14,0.2857,1,"{5362, 5318, 5317, 5316}"
73,1,154,0,0.1817792,"\int \frac{\sinh ^3\left(a+b x^n\right)}{x^2} \, dx","Int[Sinh[a + b*x^n]^3/x^2,x]","-\frac{e^{3 a} 3^{\frac{1}{n}} \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-3 b x^n\right)}{8 n x}+\frac{3 e^a \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-b x^n\right)}{8 n x}-\frac{3 e^{-a} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},b x^n\right)}{8 n x}+\frac{e^{-3 a} 3^{\frac{1}{n}} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},3 b x^n\right)}{8 n x}","-\frac{e^{3 a} 3^{\frac{1}{n}} \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-3 b x^n\right)}{8 n x}+\frac{3 e^a \left(-b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},-b x^n\right)}{8 n x}-\frac{3 e^{-a} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},b x^n\right)}{8 n x}+\frac{e^{-3 a} 3^{\frac{1}{n}} \left(b x^n\right)^{\frac{1}{n}} \text{Gamma}\left(-\frac{1}{n},3 b x^n\right)}{8 n x}",1,"-(3^n^(-1)*E^(3*a)*(-(b*x^n))^n^(-1)*Gamma[-n^(-1), -3*b*x^n])/(8*n*x) + (3*E^a*(-(b*x^n))^n^(-1)*Gamma[-n^(-1), -(b*x^n)])/(8*n*x) - (3*(b*x^n)^n^(-1)*Gamma[-n^(-1), b*x^n])/(8*E^a*n*x) + (3^n^(-1)*(b*x^n)^n^(-1)*Gamma[-n^(-1), 3*b*x^n])/(8*E^(3*a)*n*x)","A",8,3,14,0.2143,1,"{5362, 5360, 2218}"
74,0,0,0,0.02146,"\int (e x)^m \left(b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^m*(b*Sinh[c + d*x^n])^p,x]","\int (e x)^m \left(b \sinh \left(c+d x^n\right)\right)^p \, dx","\text{Int}\left((e x)^m \left(b \sinh \left(c+d x^n\right)\right)^p,x\right)",0,"Defer[Int][(e*x)^m*(b*Sinh[c + d*x^n])^p, x]","A",0,0,0,0,-1,"{}"
75,0,0,0,0.0250721,"\int (e x)^m \left(a+b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^m*(a + b*Sinh[c + d*x^n])^p,x]","\int (e x)^m \left(a+b \sinh \left(c+d x^n\right)\right)^p \, dx","\text{Int}\left((e x)^m \left(a+b \sinh \left(c+d x^n\right)\right)^p,x\right)",0,"Defer[Int][(e*x)^m*(a + b*Sinh[c + d*x^n])^p, x]","A",0,0,0,0,-1,"{}"
76,1,94,0,0.1037738,"\int (e x)^{-1+n} \left(b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + n)*(b*Sinh[c + d*x^n])^p,x]","\frac{x^{-n} (e x)^n \cosh \left(c+d x^n\right) \left(b \sinh \left(c+d x^n\right)\right)^{p+1} \, _2F_1\left(\frac{1}{2},\frac{p+1}{2};\frac{p+3}{2};-\sinh ^2\left(d x^n+c\right)\right)}{b d e n (p+1) \sqrt{\cosh ^2\left(c+d x^n\right)}}","\frac{x^{-n} (e x)^n \cosh \left(c+d x^n\right) \left(b \sinh \left(c+d x^n\right)\right)^{p+1} \, _2F_1\left(\frac{1}{2},\frac{p+1}{2};\frac{p+3}{2};-\sinh ^2\left(d x^n+c\right)\right)}{b d e n (p+1) \sqrt{\cosh ^2\left(c+d x^n\right)}}",1,"((e*x)^n*Cosh[c + d*x^n]*Hypergeometric2F1[1/2, (1 + p)/2, (3 + p)/2, -Sinh[c + d*x^n]^2]*(b*Sinh[c + d*x^n])^(1 + p))/(b*d*e*n*(1 + p)*x^n*Sqrt[Cosh[c + d*x^n]^2])","A",3,3,20,0.1500,1,"{5322, 5320, 2643}"
77,0,0,0,0.0513811,"\int (e x)^{-1+2 n} \left(b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p,x]","\int (e x)^{-1+2 n} \left(b \sinh \left(c+d x^n\right)\right)^p \, dx","\frac{x^{-2 n} (e x)^{2 n} \text{Int}\left(x^{2 n-1} \left(b \sinh \left(c+d x^n\right)\right)^p,x\right)}{e}",0,"((e*x)^(2*n)*Defer[Int][x^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))","A",0,0,0,0,-1,"{}"
78,1,150,0,0.199267,"\int (e x)^{-1+n} \left(a+b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + n)*(a + b*Sinh[c + d*x^n])^p,x]","\frac{i \sqrt{2} x^{-n} (e x)^n \cosh \left(c+d x^n\right) \left(a+b \sinh \left(c+d x^n\right)\right)^p \left(\frac{a+b \sinh \left(c+d x^n\right)}{a-i b}\right)^{-p} F_1\left(\frac{1}{2};\frac{1}{2},-p;\frac{3}{2};\frac{1}{2} \left(1-i \sinh \left(d x^n+c\right)\right),\frac{b \left(1-i \sinh \left(d x^n+c\right)\right)}{i a+b}\right)}{d e n \sqrt{1+i \sinh \left(c+d x^n\right)}}","\frac{i \sqrt{2} x^{-n} (e x)^n \cosh \left(c+d x^n\right) \left(a+b \sinh \left(c+d x^n\right)\right)^p \left(\frac{a+b \sinh \left(c+d x^n\right)}{a-i b}\right)^{-p} F_1\left(\frac{1}{2};\frac{1}{2},-p;\frac{3}{2};\frac{1}{2} \left(1-i \sinh \left(d x^n+c\right)\right),\frac{b \left(1-i \sinh \left(d x^n+c\right)\right)}{i a+b}\right)}{d e n \sqrt{1+i \sinh \left(c+d x^n\right)}}",1,"(I*Sqrt[2]*(e*x)^n*AppellF1[1/2, 1/2, -p, 3/2, (1 - I*Sinh[c + d*x^n])/2, (b*(1 - I*Sinh[c + d*x^n]))/(I*a + b)]*Cosh[c + d*x^n]*(a + b*Sinh[c + d*x^n])^p)/(d*e*n*x^n*Sqrt[1 + I*Sinh[c + d*x^n]]*((a + b*Sinh[c + d*x^n])/(a - I*b))^p)","A",5,5,22,0.2273,1,"{5322, 5320, 2665, 139, 138}"
79,0,0,0,0.0595259,"\int (e x)^{-1+2 n} \left(a+b \sinh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p,x]","\int (e x)^{-1+2 n} \left(a+b \sinh \left(c+d x^n\right)\right)^p \, dx","\frac{x^{-2 n} (e x)^{2 n} \text{Int}\left(x^{2 n-1} \left(a+b \sinh \left(c+d x^n\right)\right)^p,x\right)}{e}",0,"((e*x)^(2*n)*Defer[Int][x^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))","A",0,0,0,0,-1,"{}"
80,1,220,0,0.2343025,"\int (e x)^m \sinh ^3\left(a+b x^n\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^n]^3,x]","-\frac{e^{3 a} 3^{-\frac{m+1}{n}} (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-3 b x^n\right)}{8 e n}+\frac{3 e^a (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{8 e n}-\frac{3 e^{-a} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{8 e n}+\frac{e^{-3 a} 3^{-\frac{m+1}{n}} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},3 b x^n\right)}{8 e n}","-\frac{e^{3 a} 3^{-\frac{m+1}{n}} (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-3 b x^n\right)}{8 e n}+\frac{3 e^a (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{8 e n}-\frac{3 e^{-a} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{8 e n}+\frac{e^{-3 a} 3^{-\frac{m+1}{n}} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},3 b x^n\right)}{8 e n}",1,"-(E^(3*a)*(e*x)^(1 + m)*Gamma[(1 + m)/n, -3*b*x^n])/(8*3^((1 + m)/n)*e*n*(-(b*x^n))^((1 + m)/n)) + (3*E^a*(e*x)^(1 + m)*Gamma[(1 + m)/n, -(b*x^n)])/(8*e*n*(-(b*x^n))^((1 + m)/n)) - (3*(e*x)^(1 + m)*Gamma[(1 + m)/n, b*x^n])/(8*e*E^a*n*(b*x^n)^((1 + m)/n)) + ((e*x)^(1 + m)*Gamma[(1 + m)/n, 3*b*x^n])/(8*3^((1 + m)/n)*e*E^(3*a)*n*(b*x^n)^((1 + m)/n))","A",8,3,16,0.1875,1,"{5362, 5360, 2218}"
81,1,143,0,0.174381,"\int (e x)^m \sinh ^2\left(a+b x^n\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^n]^2,x]","-\frac{e^{2 a} 2^{-\frac{m+2 n+1}{n}} (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-2 b x^n\right)}{e n}-\frac{e^{-2 a} 2^{-\frac{m+2 n+1}{n}} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},2 b x^n\right)}{e n}-\frac{(e x)^{m+1}}{2 e (m+1)}","-\frac{e^{2 a} 2^{-\frac{m+2 n+1}{n}} (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-2 b x^n\right)}{e n}-\frac{e^{-2 a} 2^{-\frac{m+2 n+1}{n}} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},2 b x^n\right)}{e n}-\frac{(e x)^{m+1}}{2 e (m+1)}",1,"-(e*x)^(1 + m)/(2*e*(1 + m)) - (E^(2*a)*(e*x)^(1 + m)*Gamma[(1 + m)/n, -2*b*x^n])/(2^((1 + m + 2*n)/n)*e*n*(-(b*x^n))^((1 + m)/n)) - ((e*x)^(1 + m)*Gamma[(1 + m)/n, 2*b*x^n])/(2^((1 + m + 2*n)/n)*e*E^(2*a)*n*(b*x^n)^((1 + m)/n))","A",5,3,16,0.1875,1,"{5362, 5361, 2218}"
82,1,99,0,0.0705051,"\int (e x)^m \sinh \left(a+b x^n\right) \, dx","Int[(e*x)^m*Sinh[a + b*x^n],x]","\frac{e^{-a} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{2 e n}-\frac{e^a (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{2 e n}","\frac{e^{-a} (e x)^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{2 e n}-\frac{e^a (e x)^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{2 e n}",1,"-(E^a*(e*x)^(1 + m)*Gamma[(1 + m)/n, -(b*x^n)])/(2*e*n*(-(b*x^n))^((1 + m)/n)) + ((e*x)^(1 + m)*Gamma[(1 + m)/n, b*x^n])/(2*e*E^a*n*(b*x^n)^((1 + m)/n))","A",3,2,14,0.1429,1,"{5360, 2218}"
83,0,0,0,0.0377175,"\int (e x)^m \text{csch}^2\left(a+b x^n\right) \, dx","Int[(e*x)^m*Csch[a + b*x^n]^2,x]","\int (e x)^m \text{csch}^2\left(a+b x^n\right) \, dx","x^{-m} (e x)^m \text{Int}\left(x^m \text{csch}^2\left(a+b x^n\right),x\right)",0,"((e*x)^m*Defer[Int][x^m*Csch[a + b*x^n]^2, x])/x^m","A",0,0,0,0,-1,"{}"
84,1,45,0,0.0928278,"\int x^{-1-n} \sinh \left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Sinh[a + b*x^n],x]","\frac{b \cosh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{b \sinh (a) \text{Shi}\left(b x^n\right)}{n}-\frac{x^{-n} \sinh \left(a+b x^n\right)}{n}","\frac{b \cosh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{b \sinh (a) \text{Shi}\left(b x^n\right)}{n}-\frac{x^{-n} \sinh \left(a+b x^n\right)}{n}",1,"(b*Cosh[a]*CoshIntegral[b*x^n])/n - Sinh[a + b*x^n]/(n*x^n) + (b*Sinh[a]*SinhIntegral[b*x^n])/n","A",5,5,16,0.3125,1,"{5320, 3297, 3303, 3298, 3301}"
85,1,67,0,0.1229967,"\int x^{-1-n} \sinh ^2\left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Sinh[a + b*x^n]^2,x]","\frac{b \sinh (2 a) \text{Chi}\left(2 b x^n\right)}{n}+\frac{b \cosh (2 a) \text{Shi}\left(2 b x^n\right)}{n}-\frac{x^{-n} \cosh \left(2 \left(a+b x^n\right)\right)}{2 n}+\frac{x^{-n}}{2 n}","\frac{b \sinh (2 a) \text{Chi}\left(2 b x^n\right)}{n}+\frac{b \cosh (2 a) \text{Shi}\left(2 b x^n\right)}{n}-\frac{x^{-n} \cosh \left(2 \left(a+b x^n\right)\right)}{2 n}+\frac{x^{-n}}{2 n}",1,"1/(2*n*x^n) - Cosh[2*(a + b*x^n)]/(2*n*x^n) + (b*CoshIntegral[2*b*x^n]*Sinh[2*a])/n + (b*Cosh[2*a]*SinhIntegral[2*b*x^n])/n","A",7,6,18,0.3333,1,"{5362, 5321, 3297, 3303, 3298, 3301}"
86,1,113,0,0.2169869,"\int x^{-1-n} \sinh ^3\left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Sinh[a + b*x^n]^3,x]","-\frac{3 b \cosh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{3 b \cosh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}-\frac{3 b \sinh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{3 b \sinh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}+\frac{3 x^{-n} \sinh \left(a+b x^n\right)}{4 n}-\frac{x^{-n} \sinh \left(3 \left(a+b x^n\right)\right)}{4 n}","-\frac{3 b \cosh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{3 b \cosh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}-\frac{3 b \sinh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{3 b \sinh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}+\frac{3 x^{-n} \sinh \left(a+b x^n\right)}{4 n}-\frac{x^{-n} \sinh \left(3 \left(a+b x^n\right)\right)}{4 n}",1,"(-3*b*Cosh[a]*CoshIntegral[b*x^n])/(4*n) + (3*b*Cosh[3*a]*CoshIntegral[3*b*x^n])/(4*n) + (3*Sinh[a + b*x^n])/(4*n*x^n) - Sinh[3*(a + b*x^n)]/(4*n*x^n) - (3*b*Sinh[a]*SinhIntegral[b*x^n])/(4*n) + (3*b*Sinh[3*a]*SinhIntegral[3*b*x^n])/(4*n)","A",12,6,18,0.3333,1,"{5362, 5320, 3297, 3303, 3298, 3301}"
87,1,71,0,0.0447823,"\int x^{-1+\frac{n}{2}} \sinh \left(a+b x^n\right) \, dx","Int[x^(-1 + n/2)*Sinh[a + b*x^n],x]","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x^{n/2}\right)}{2 \sqrt{b} n}-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x^{n/2}\right)}{2 \sqrt{b} n}","\frac{\sqrt{\pi } e^a \text{Erfi}\left(\sqrt{b} x^{n/2}\right)}{2 \sqrt{b} n}-\frac{\sqrt{\pi } e^{-a} \text{Erf}\left(\sqrt{b} x^{n/2}\right)}{2 \sqrt{b} n}",1,"-(Sqrt[Pi]*Erf[Sqrt[b]*x^(n/2)])/(2*Sqrt[b]*E^a*n) + (E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x^(n/2)])/(2*Sqrt[b]*n)","A",4,4,18,0.2222,1,"{5356, 5298, 2204, 2205}"
88,1,113,0,0.0961929,"\int x^2 \sinh \left((a+b x)^2\right) \, dx","Int[x^2*Sinh[(a + b*x)^2],x]","-\frac{\sqrt{\pi } a^2 \text{Erf}(a+b x)}{4 b^3}+\frac{\sqrt{\pi } a^2 \text{Erfi}(a+b x)}{4 b^3}-\frac{\sqrt{\pi } \text{Erf}(a+b x)}{8 b^3}-\frac{\sqrt{\pi } \text{Erfi}(a+b x)}{8 b^3}-\frac{a \cosh \left((a+b x)^2\right)}{b^3}+\frac{(a+b x) \cosh \left((a+b x)^2\right)}{2 b^3}","-\frac{\sqrt{\pi } a^2 \text{Erf}(a+b x)}{4 b^3}+\frac{\sqrt{\pi } a^2 \text{Erfi}(a+b x)}{4 b^3}-\frac{\sqrt{\pi } \text{Erf}(a+b x)}{8 b^3}-\frac{\sqrt{\pi } \text{Erfi}(a+b x)}{8 b^3}-\frac{a \cosh \left((a+b x)^2\right)}{b^3}+\frac{(a+b x) \cosh \left((a+b x)^2\right)}{2 b^3}",1,"-((a*Cosh[(a + b*x)^2])/b^3) + ((a + b*x)*Cosh[(a + b*x)^2])/(2*b^3) - (Sqrt[Pi]*Erf[a + b*x])/(8*b^3) - (a^2*Sqrt[Pi]*Erf[a + b*x])/(4*b^3) - (Sqrt[Pi]*Erfi[a + b*x])/(8*b^3) + (a^2*Sqrt[Pi]*Erfi[a + b*x])/(4*b^3)","A",12,9,12,0.7500,1,"{5364, 6742, 5298, 2204, 2205, 5320, 2638, 5324, 5299}"
89,1,54,0,0.0532086,"\int x \sinh \left((a+b x)^2\right) \, dx","Int[x*Sinh[(a + b*x)^2],x]","\frac{\sqrt{\pi } a \text{Erf}(a+b x)}{4 b^2}-\frac{\sqrt{\pi } a \text{Erfi}(a+b x)}{4 b^2}+\frac{\cosh \left((a+b x)^2\right)}{2 b^2}","\frac{\sqrt{\pi } a \text{Erf}(a+b x)}{4 b^2}-\frac{\sqrt{\pi } a \text{Erfi}(a+b x)}{4 b^2}+\frac{\cosh \left((a+b x)^2\right)}{2 b^2}",1,"Cosh[(a + b*x)^2]/(2*b^2) + (a*Sqrt[Pi]*Erf[a + b*x])/(4*b^2) - (a*Sqrt[Pi]*Erfi[a + b*x])/(4*b^2)","A",8,7,10,0.7000,1,"{5364, 6742, 5298, 2204, 2205, 5320, 2638}"
90,1,37,0,0.0170969,"\int \sinh \left((a+b x)^2\right) \, dx","Int[Sinh[(a + b*x)^2],x]","\frac{\sqrt{\pi } \text{Erfi}(a+b x)}{4 b}-\frac{\sqrt{\pi } \text{Erf}(a+b x)}{4 b}","\frac{\sqrt{\pi } \text{Erfi}(a+b x)}{4 b}-\frac{\sqrt{\pi } \text{Erf}(a+b x)}{4 b}",1,"-(Sqrt[Pi]*Erf[a + b*x])/(4*b) + (Sqrt[Pi]*Erfi[a + b*x])/(4*b)","A",4,4,8,0.5000,1,"{5310, 5298, 2204, 2205}"
91,0,0,0,0.035919,"\int \frac{\sinh \left((a+b x)^2\right)}{x} \, dx","Int[Sinh[(a + b*x)^2]/x,x]","\int \frac{\sinh \left((a+b x)^2\right)}{x} \, dx","b \text{Int}\left(\frac{\sinh \left((a+b x)^2\right)}{b x},x\right)",0,"Defer[Subst][Defer[Int][Sinh[x^2]/(-a + x), x], x, a + b*x]","A",0,0,0,0,-1,"{}"
92,0,0,0,0.0385763,"\int \frac{\sinh \left((a+b x)^2\right)}{x^2} \, dx","Int[Sinh[(a + b*x)^2]/x^2,x]","\int \frac{\sinh \left((a+b x)^2\right)}{x^2} \, dx","\text{Int}\left(\frac{\sinh \left((a+b x)^2\right)}{x^2},x\right)",0,"b*Defer[Subst][Defer[Int][Sinh[x^2]/(-a + x)^2, x], x, a + b*x]","A",0,0,0,0,-1,"{}"
93,1,346,0,0.4181164,"\int x^2 \sinh \left(a+b \sqrt{c+d x}\right) \, dx","Int[x^2*Sinh[a + b*Sqrt[c + d*x]],x]","-\frac{2 c^2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{10 (c+d x)^2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{12 c (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{120 (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}+\frac{24 c \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}-\frac{240 \sinh \left(a+b \sqrt{c+d x}\right)}{b^6 d^3}+\frac{40 (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}-\frac{24 c \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}+\frac{240 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^5 d^3}+\frac{2 c^2 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}+\frac{2 (c+d x)^{5/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}-\frac{4 c (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}","-\frac{2 c^2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{10 (c+d x)^2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{12 c (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{120 (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}+\frac{24 c \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}-\frac{240 \sinh \left(a+b \sqrt{c+d x}\right)}{b^6 d^3}+\frac{40 (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}-\frac{24 c \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}+\frac{240 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^5 d^3}+\frac{2 c^2 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}+\frac{2 (c+d x)^{5/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}-\frac{4 c (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^3}",1,"(240*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b^5*d^3) - (24*c*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b^3*d^3) + (2*c^2*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b*d^3) + (40*(c + d*x)^(3/2)*Cosh[a + b*Sqrt[c + d*x]])/(b^3*d^3) - (4*c*(c + d*x)^(3/2)*Cosh[a + b*Sqrt[c + d*x]])/(b*d^3) + (2*(c + d*x)^(5/2)*Cosh[a + b*Sqrt[c + d*x]])/(b*d^3) - (240*Sinh[a + b*Sqrt[c + d*x]])/(b^6*d^3) + (24*c*Sinh[a + b*Sqrt[c + d*x]])/(b^4*d^3) - (2*c^2*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d^3) - (120*(c + d*x)*Sinh[a + b*Sqrt[c + d*x]])/(b^4*d^3) + (12*c*(c + d*x)*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d^3) - (10*(c + d*x)^2*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d^3)","A",16,4,18,0.2222,1,"{5364, 5286, 3296, 2637}"
94,1,167,0,0.1864335,"\int x \sinh \left(a+b \sqrt{c+d x}\right) \, dx","Int[x*Sinh[a + b*Sqrt[c + d*x]],x]","-\frac{6 (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}+\frac{2 c \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}-\frac{12 \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^2}+\frac{12 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^2}+\frac{2 (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^2}-\frac{2 c \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^2}","-\frac{6 (c+d x) \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}+\frac{2 c \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}-\frac{12 \sinh \left(a+b \sqrt{c+d x}\right)}{b^4 d^2}+\frac{12 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b^3 d^2}+\frac{2 (c+d x)^{3/2} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^2}-\frac{2 c \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d^2}",1,"(12*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b^3*d^2) - (2*c*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b*d^2) + (2*(c + d*x)^(3/2)*Cosh[a + b*Sqrt[c + d*x]])/(b*d^2) - (12*Sinh[a + b*Sqrt[c + d*x]])/(b^4*d^2) + (2*c*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d^2) - (6*(c + d*x)*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d^2)","A",10,4,16,0.2500,1,"{5364, 5286, 3296, 2637}"
95,1,54,0,0.0457324,"\int \sinh \left(a+b \sqrt{c+d x}\right) \, dx","Int[Sinh[a + b*Sqrt[c + d*x]],x]","\frac{2 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d}-\frac{2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d}","\frac{2 \sqrt{c+d x} \cosh \left(a+b \sqrt{c+d x}\right)}{b d}-\frac{2 \sinh \left(a+b \sqrt{c+d x}\right)}{b^2 d}",1,"(2*Sqrt[c + d*x]*Cosh[a + b*Sqrt[c + d*x]])/(b*d) - (2*Sinh[a + b*Sqrt[c + d*x]])/(b^2*d)","A",4,4,14,0.2857,1,"{5310, 5304, 3296, 2637}"
96,1,124,0,0.2867065,"\int \frac{\sinh \left(a+b \sqrt{c+d x}\right)}{x} \, dx","Int[Sinh[a + b*Sqrt[c + d*x]]/x,x]","\sinh \left(a-b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)+\sinh \left(a+b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)-\cosh \left(a+b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)+\cosh \left(a-b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)","\sinh \left(a-b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)+\sinh \left(a+b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)-\cosh \left(a+b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)+\cosh \left(a-b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)",1,"CoshIntegral[b*(Sqrt[c] + Sqrt[c + d*x])]*Sinh[a - b*Sqrt[c]] + CoshIntegral[b*(Sqrt[c] - Sqrt[c + d*x])]*Sinh[a + b*Sqrt[c]] - Cosh[a + b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] - Sqrt[c + d*x])] + Cosh[a - b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] + Sqrt[c + d*x])]","A",10,5,18,0.2778,1,"{5364, 5292, 3303, 3298, 3301}"
97,1,182,0,0.3606139,"\int \frac{\sinh \left(a+b \sqrt{c+d x}\right)}{x^2} \, dx","Int[Sinh[a + b*Sqrt[c + d*x]]/x^2,x]","\frac{b d \cosh \left(a+b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \cosh \left(a-b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \sinh \left(a+b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \sinh \left(a-b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{\sinh \left(a+b \sqrt{c+d x}\right)}{x}","\frac{b d \cosh \left(a+b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \cosh \left(a-b \sqrt{c}\right) \text{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \sinh \left(a+b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}-\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{b d \sinh \left(a-b \sqrt{c}\right) \text{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{\sinh \left(a+b \sqrt{c+d x}\right)}{x}",1,"(b*d*Cosh[a + b*Sqrt[c]]*CoshIntegral[b*(Sqrt[c] - Sqrt[c + d*x])])/(2*Sqrt[c]) - (b*d*Cosh[a - b*Sqrt[c]]*CoshIntegral[b*(Sqrt[c] + Sqrt[c + d*x])])/(2*Sqrt[c]) - Sinh[a + b*Sqrt[c + d*x]]/x - (b*d*Sinh[a + b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] - Sqrt[c + d*x])])/(2*Sqrt[c]) - (b*d*Sinh[a - b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] + Sqrt[c + d*x])])/(2*Sqrt[c])","A",11,6,18,0.3333,1,"{5364, 5288, 5281, 3303, 3298, 3301}"
98,1,537,0,0.6969966,"\int x^2 \sinh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[x^2*Sinh[a + b*(c + d*x)^(1/3)],x]","-\frac{6 c^2 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}+\frac{6 c^2 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}-\frac{24 (c+d x)^{7/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{1008 (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}+\frac{30 c (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{20160 (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{360 c (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}-\frac{120960 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^8 d^3}+\frac{720 c \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{168 (c+d x)^2 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{5040 (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}-\frac{120 c (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{60480 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^7 d^3}-\frac{720 c \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}+\frac{120960 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^9 d^3}+\frac{3 c^2 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}+\frac{3 (c+d x)^{8/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}-\frac{6 c (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}","-\frac{6 c^2 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}+\frac{6 c^2 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}-\frac{24 (c+d x)^{7/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{1008 (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}+\frac{30 c (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{20160 (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{360 c (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}-\frac{120960 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^8 d^3}+\frac{720 c \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{168 (c+d x)^2 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{5040 (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}-\frac{120 c (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{60480 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^7 d^3}-\frac{720 c \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}+\frac{120960 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^9 d^3}+\frac{3 c^2 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}+\frac{3 (c+d x)^{8/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}-\frac{6 c (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}",1,"(120960*Cosh[a + b*(c + d*x)^(1/3)])/(b^9*d^3) + (6*c^2*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) - (720*c*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^5*d^3) + (60480*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^7*d^3) + (3*c^2*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d^3) - (120*c*(c + d*x)*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) + (5040*(c + d*x)^(4/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^5*d^3) - (6*c*(c + d*x)^(5/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d^3) + (168*(c + d*x)^2*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) + (3*(c + d*x)^(8/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d^3) + (720*c*Sinh[a + b*(c + d*x)^(1/3)])/(b^6*d^3) - (120960*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^8*d^3) - (6*c^2*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d^3) + (360*c*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^4*d^3) - (20160*(c + d*x)*Sinh[a + b*(c + d*x)^(1/3)])/(b^6*d^3) + (30*c*(c + d*x)^(4/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d^3) - (1008*(c + d*x)^(5/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^4*d^3) - (24*(c + d*x)^(7/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d^3)","A",23,6,18,0.3333,1,"{5364, 1593, 5286, 3296, 2638, 2637}"
99,1,261,0,0.3148465,"\int x \sinh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[x*Sinh[a + b*(c + d*x)^(1/3)],x]","-\frac{15 (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{180 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^2}+\frac{6 c \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{360 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^2}+\frac{60 (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{360 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^2}-\frac{6 c \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{3 (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}-\frac{3 c (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}","-\frac{15 (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{180 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^2}+\frac{6 c \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{360 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^2}+\frac{60 (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{360 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^2}-\frac{6 c \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{3 (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}-\frac{3 c (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}",1,"(-6*c*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d^2) + (360*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^5*d^2) - (3*c*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d^2) + (60*(c + d*x)*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d^2) + (3*(c + d*x)^(5/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d^2) - (360*Sinh[a + b*(c + d*x)^(1/3)])/(b^6*d^2) + (6*c*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d^2) - (180*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^4*d^2) - (15*(c + d*x)^(4/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d^2)","A",13,5,16,0.3125,1,"{5364, 5286, 3296, 2638, 2637}"
100,1,85,0,0.0790904,"\int \sinh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[Sinh[a + b*(c + d*x)^(1/3)],x]","-\frac{6 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d}+\frac{6 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d}+\frac{3 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d}","-\frac{6 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d}+\frac{6 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d}+\frac{3 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b d}",1,"(6*Cosh[a + b*(c + d*x)^(1/3)])/(b^3*d) + (3*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b*d) - (6*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^2*d)","A",5,4,14,0.2857,1,"{5310, 5304, 3296, 2638}"
101,1,232,0,0.5185012,"\int \frac{\sinh \left(a+b \sqrt[3]{c+d x}\right)}{x} \, dx","Int[Sinh[a + b*(c + d*x)^(1/3)]/x,x]","\sinh \left(a+b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)+\sinh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)+\sinh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Chi}\left(-b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\cosh \left(a+b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\cosh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Shi}\left(b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)+\cosh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)","\sinh \left(a+b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)+\sinh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)+\sinh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Chi}\left(-b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\cosh \left(a+b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\cosh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Shi}\left(b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)+\cosh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)",1,"CoshIntegral[b*(c^(1/3) - (c + d*x)^(1/3))]*Sinh[a + b*c^(1/3)] + CoshIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))]*Sinh[a - (-1)^(1/3)*b*c^(1/3)] + CoshIntegral[-(b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3)))]*Sinh[a + (-1)^(2/3)*b*c^(1/3)] - Cosh[a + b*c^(1/3)]*SinhIntegral[b*(c^(1/3) - (c + d*x)^(1/3))] - Cosh[a + (-1)^(2/3)*b*c^(1/3)]*SinhIntegral[b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3))] + Cosh[a - (-1)^(1/3)*b*c^(1/3)]*SinhIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))]","A",13,5,18,0.2778,1,"{5364, 5292, 3303, 3298, 3301}"
102,1,329,0,0.7243943,"\int \frac{\sinh \left(a+b \sqrt[3]{c+d x}\right)}{x^2} \, dx","Int[Sinh[a + b*(c + d*x)^(1/3)]/x^2,x]","\frac{b d \cosh \left(a+b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}+\frac{(-1)^{2/3} b d \cosh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Chi}\left(-b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \cosh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{b d \sinh \left(a+b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{(-1)^{2/3} b d \sinh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Shi}\left(b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \sinh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sinh \left(a+b \sqrt[3]{c+d x}\right)}{x}","\frac{b d \cosh \left(a+b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}+\frac{(-1)^{2/3} b d \cosh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Chi}\left(-b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \cosh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Chi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{b d \sinh \left(a+b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{(-1)^{2/3} b d \sinh \left(a+(-1)^{2/3} b \sqrt[3]{c}\right) \text{Shi}\left(b \left((-1)^{2/3} \sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \sinh \left(a-\sqrt[3]{-1} b \sqrt[3]{c}\right) \text{Shi}\left(b \left(\sqrt[3]{-1} \sqrt[3]{c}+\sqrt[3]{c+d x}\right)\right)}{3 c^{2/3}}-\frac{\sinh \left(a+b \sqrt[3]{c+d x}\right)}{x}",1,"(b*d*Cosh[a + b*c^(1/3)]*CoshIntegral[b*(c^(1/3) - (c + d*x)^(1/3))])/(3*c^(2/3)) + ((-1)^(2/3)*b*d*Cosh[a + (-1)^(2/3)*b*c^(1/3)]*CoshIntegral[-(b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3)))])/(3*c^(2/3)) - ((-1)^(1/3)*b*d*Cosh[a - (-1)^(1/3)*b*c^(1/3)]*CoshIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))])/(3*c^(2/3)) - Sinh[a + b*(c + d*x)^(1/3)]/x - (b*d*Sinh[a + b*c^(1/3)]*SinhIntegral[b*(c^(1/3) - (c + d*x)^(1/3))])/(3*c^(2/3)) - ((-1)^(2/3)*b*d*Sinh[a + (-1)^(2/3)*b*c^(1/3)]*SinhIntegral[b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3))])/(3*c^(2/3)) - ((-1)^(1/3)*b*d*Sinh[a - (-1)^(1/3)*b*c^(1/3)]*SinhIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))])/(3*c^(2/3))","A",14,6,18,0.3333,1,"{5364, 5288, 5281, 3303, 3298, 3301}"