1,1,34,0,0.036081,"\int x^3 \cosh \left(a+b x^2\right) \, dx","Int[x^3*Cosh[a + b*x^2],x]","\frac{x^2 \sinh \left(a+b x^2\right)}{2 b}-\frac{\cosh \left(a+b x^2\right)}{2 b^2}","\frac{x^2 \sinh \left(a+b x^2\right)}{2 b}-\frac{\cosh \left(a+b x^2\right)}{2 b^2}",1,"-Cosh[a + b*x^2]/(2*b^2) + (x^2*Sinh[a + b*x^2])/(2*b)","A",3,3,12,0.2500,1,"{5321, 3296, 2638}"
2,1,69,0,0.0386214,"\int x^2 \cosh \left(a+b x^2\right) \, dx","Int[x^2*Cosh[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 \sinh \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 \sinh \left(a+b x^2\right)}{2 b}",1,"(Sqrt[Pi]*Erf[Sqrt[b]*x])/(8*b^(3/2)*E^a) - (E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/(8*b^(3/2)) + (x*Sinh[a + b*x^2])/(2*b)","A",4,4,12,0.3333,1,"{5325, 5298, 2204, 2205}"
3,1,15,0,0.0149193,"\int x \cosh \left(a+b x^2\right) \, dx","Int[x*Cosh[a + b*x^2],x]","\frac{\sinh \left(a+b x^2\right)}{2 b}","\frac{\sinh \left(a+b x^2\right)}{2 b}",1,"Sinh[a + b*x^2]/(2*b)","A",2,2,10,0.2000,1,"{5321, 2637}"
4,1,53,0,0.0199063,"\int \cosh \left(a+b x^2\right) \, dx","Int[Cosh[a + b*x^2],x]","\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}}+\frac{\sqrt{\pi } e^a \text{Erfi}\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,"{5299, 2204, 2205}"
5,1,25,0,0.0358257,"\int \frac{\cosh \left(a+b x^2\right)}{x} \, dx","Int[Cosh[a + b*x^2]/x,x]","\frac{1}{2} \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} \sinh (a) \text{Shi}\left(b x^2\right)","\frac{1}{2} \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} \sinh (a) \text{Shi}\left(b x^2\right)",1,"(Cosh[a]*CoshIntegral[b*x^2])/2 + (Sinh[a]*SinhIntegral[b*x^2])/2","A",3,3,12,0.2500,1,"{5319, 5317, 5316}"
6,1,66,0,0.0351556,"\int \frac{\cosh \left(a+b x^2\right)}{x^2} \, dx","Int[Cosh[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{\cosh \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{\cosh \left(a+b x^2\right)}{x}",1,"-(Cosh[a + b*x^2]/x) - (Sqrt[b]*Sqrt[Pi]*Erf[Sqrt[b]*x])/(2*E^a) + (Sqrt[b]*E^a*Sqrt[Pi]*Erfi[Sqrt[b]*x])/2","A",4,4,12,0.3333,1,"{5327, 5298, 2204, 2205}"
7,1,42,0,0.0905614,"\int \frac{\cosh \left(a+b x^2\right)}{x^3} \, dx","Int[Cosh[a + b*x^2]/x^3,x]","\frac{1}{2} b \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} b \cosh (a) \text{Shi}\left(b x^2\right)-\frac{\cosh \left(a+b x^2\right)}{2 x^2}","\frac{1}{2} b \sinh (a) \text{Chi}\left(b x^2\right)+\frac{1}{2} b \cosh (a) \text{Shi}\left(b x^2\right)-\frac{\cosh \left(a+b x^2\right)}{2 x^2}",1,"-Cosh[a + b*x^2]/(2*x^2) + (b*CoshIntegral[b*x^2]*Sinh[a])/2 + (b*Cosh[a]*SinhIntegral[b*x^2])/2","A",5,5,12,0.4167,1,"{5321, 3297, 3303, 3298, 3301}"
8,1,51,0,0.0513967,"\int x^3 \cosh ^2\left(a+b x^2\right) \, dx","Int[x^3*Cosh[a + b*x^2]^2,x]","-\frac{\cosh ^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{\cosh ^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 - Cosh[a + b*x^2]^2/(8*b^2) + (x^2*Cosh[a + b*x^2]*Sinh[a + b*x^2])/(4*b)","A",3,3,14,0.2143,1,"{5321, 3310, 30}"
9,1,99,0,0.0876185,"\int x^2 \cosh ^2\left(a+b x^2\right) \, dx","Int[x^2*Cosh[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,"{5341, 5325, 5298, 2204, 2205}"
10,1,31,0,0.0282266,"\int x \cosh ^2\left(a+b x^2\right) \, dx","Int[x*Cosh[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,"{5321, 2635, 8}"
11,1,78,0,0.0429458,"\int \cosh ^2\left(a+b x^2\right) \, dx","Int[Cosh[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,"{5301, 5299, 2204, 2205}"
12,1,37,0,0.0607286,"\int \frac{\cosh ^2\left(a+b x^2\right)}{x} \, dx","Int[Cosh[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,"{5341, 5319, 5317, 5316}"
13,1,88,0,0.0709632,"\int \frac{\cosh ^2\left(a+b x^2\right)}{x^2} \, dx","Int[Cosh[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{\cosh ^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{\cosh ^2\left(a+b x^2\right)}{x}",1,"-(Cosh[a + b*x^2]^2/x) - (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","A",6,6,14,0.4286,1,"{5331, 5617, 5314, 5298, 2204, 2205}"
14,1,57,0,0.1259705,"\int \frac{\cosh ^2\left(a+b x^2\right)}{x^3} \, dx","Int[Cosh[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,"{5341, 5321, 3297, 3303, 3298, 3301}"
15,1,79,0,0.0771761,"\int x^3 \cosh ^3\left(a+b x^2\right) \, dx","Int[x^3*Cosh[a + b*x^2]^3,x]","-\frac{\cosh ^3\left(a+b x^2\right)}{18 b^2}-\frac{\cosh \left(a+b x^2\right)}{3 b^2}+\frac{x^2 \sinh \left(a+b x^2\right)}{3 b}+\frac{x^2 \sinh \left(a+b x^2\right) \cosh ^2\left(a+b x^2\right)}{6 b}","-\frac{\cosh ^3\left(a+b x^2\right)}{18 b^2}-\frac{\cosh \left(a+b x^2\right)}{3 b^2}+\frac{x^2 \sinh \left(a+b x^2\right)}{3 b}+\frac{x^2 \sinh \left(a+b x^2\right) \cosh ^2\left(a+b x^2\right)}{6 b}",1,"-Cosh[a + b*x^2]/(3*b^2) - Cosh[a + b*x^2]^3/(18*b^2) + (x^2*Sinh[a + b*x^2])/(3*b) + (x^2*Cosh[a + b*x^2]^2*Sinh[a + b*x^2])/(6*b)","A",4,4,14,0.2857,1,"{5321, 3310, 3296, 2638}"
16,1,160,0,0.1431306,"\int x^2 \cosh ^3\left(a+b x^2\right) \, dx","Int[x^2*Cosh[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 \sinh \left(a+b x^2\right)}{8 b}+\frac{x \sinh \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 \sinh \left(a+b x^2\right)}{8 b}+\frac{x \sinh \left(3 a+3 b x^2\right)}{24 b}",1,"(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)) + (3*x*Sinh[a + b*x^2])/(8*b) + (x*Sinh[3*a + 3*b*x^2])/(24*b)","A",10,5,14,0.3571,1,"{5341, 5325, 5298, 2204, 2205}"
17,1,33,0,0.0303845,"\int x \cosh ^3\left(a+b x^2\right) \, dx","Int[x*Cosh[a + b*x^2]^3,x]","\frac{\sinh ^3\left(a+b x^2\right)}{6 b}+\frac{\sinh \left(a+b x^2\right)}{2 b}","\frac{\sinh ^3\left(a+b x^2\right)}{6 b}+\frac{\sinh \left(a+b x^2\right)}{2 b}",1,"Sinh[a + b*x^2]/(2*b) + Sinh[a + b*x^2]^3/(6*b)","A",3,2,12,0.1667,1,"{5321, 2633}"
18,1,125,0,0.0721991,"\int \cosh ^3\left(a+b x^2\right) \, dx","Int[Cosh[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,"{5301, 5299, 2204, 2205}"
19,1,55,0,0.0942874,"\int \frac{\cosh ^3\left(a+b x^2\right)}{x} \, dx","Int[Cosh[a + b*x^2]^3/x,x]","\frac{3}{8} \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{8} \cosh (3 a) \text{Chi}\left(3 b x^2\right)+\frac{3}{8} \sinh (a) \text{Shi}\left(b x^2\right)+\frac{1}{8} \sinh (3 a) \text{Shi}\left(3 b x^2\right)","\frac{3}{8} \cosh (a) \text{Chi}\left(b x^2\right)+\frac{1}{8} \cosh (3 a) \text{Chi}\left(3 b x^2\right)+\frac{3}{8} \sinh (a) \text{Shi}\left(b x^2\right)+\frac{1}{8} \sinh (3 a) \text{Shi}\left(3 b x^2\right)",1,"(3*Cosh[a]*CoshIntegral[b*x^2])/8 + (Cosh[3*a]*CoshIntegral[3*b*x^2])/8 + (3*Sinh[a]*SinhIntegral[b*x^2])/8 + (Sinh[3*a]*SinhIntegral[3*b*x^2])/8","A",8,4,14,0.2857,1,"{5341, 5319, 5317, 5316}"
20,1,136,0,0.1135391,"\int \frac{\cosh ^3\left(a+b x^2\right)}{x^2} \, dx","Int[Cosh[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{\cosh ^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{\cosh ^3\left(a+b x^2\right)}{x}",1,"-(Cosh[a + b*x^2]^3/x) - (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","A",9,5,14,0.3571,1,"{5331, 5618, 5298, 2204, 2205}"
21,1,91,0,0.2189492,"\int \frac{\cosh ^3\left(a+b x^2\right)}{x^3} \, dx","Int[Cosh[a + b*x^2]^3/x^3,x]","\frac{3}{8} b \sinh (a) \text{Chi}\left(b x^2\right)+\frac{3}{8} b \sinh (3 a) \text{Chi}\left(3 b x^2\right)+\frac{3}{8} b \cosh (a) \text{Shi}\left(b x^2\right)+\frac{3}{8} b \cosh (3 a) \text{Shi}\left(3 b x^2\right)-\frac{3 \cosh \left(a+b x^2\right)}{8 x^2}-\frac{\cosh \left(3 \left(a+b x^2\right)\right)}{8 x^2}","\frac{3}{8} b \sinh (a) \text{Chi}\left(b x^2\right)+\frac{3}{8} b \sinh (3 a) \text{Chi}\left(3 b x^2\right)+\frac{3}{8} b \cosh (a) \text{Shi}\left(b x^2\right)+\frac{3}{8} b \cosh (3 a) \text{Shi}\left(3 b x^2\right)-\frac{3 \cosh \left(a+b x^2\right)}{8 x^2}-\frac{\cosh \left(3 \left(a+b x^2\right)\right)}{8 x^2}",1,"(-3*Cosh[a + b*x^2])/(8*x^2) - Cosh[3*(a + b*x^2)]/(8*x^2) + (3*b*CoshIntegral[b*x^2]*Sinh[a])/8 + (3*b*CoshIntegral[3*b*x^2]*Sinh[3*a])/8 + (3*b*Cosh[a]*SinhIntegral[b*x^2])/8 + (3*b*Cosh[3*a]*SinhIntegral[3*b*x^2])/8","A",12,6,14,0.4286,1,"{5341, 5321, 3297, 3303, 3298, 3301}"
22,1,67,0,0.0436878,"\int x \cosh ^7\left(a+b x^2\right) \, dx","Int[x*Cosh[a + b*x^2]^7,x]","\frac{\sinh ^7\left(a+b x^2\right)}{14 b}+\frac{3 \sinh ^5\left(a+b x^2\right)}{10 b}+\frac{\sinh ^3\left(a+b x^2\right)}{2 b}+\frac{\sinh \left(a+b x^2\right)}{2 b}","\frac{\sinh ^7\left(a+b x^2\right)}{14 b}+\frac{3 \sinh ^5\left(a+b x^2\right)}{10 b}+\frac{\sinh ^3\left(a+b x^2\right)}{2 b}+\frac{\sinh \left(a+b x^2\right)}{2 b}",1,"Sinh[a + b*x^2]/(2*b) + Sinh[a + b*x^2]^3/(2*b) + (3*Sinh[a + b*x^2]^5)/(10*b) + Sinh[a + b*x^2]^7/(14*b)","A",3,2,12,0.1667,1,"{5321, 2633}"
23,1,8,0,0.0114006,"\int x^2 \cosh \left(x^3\right) \, dx","Int[x^2*Cosh[x^3],x]","\frac{\sinh \left(x^3\right)}{3}","\frac{\sinh \left(x^3\right)}{3}",1,"Sinh[x^3]/3","A",2,2,8,0.2500,1,"{5321, 2637}"
24,1,8,0,0.0120885,"\int \frac{\cosh \left(\frac{1}{x^5}\right)}{x^6} \, dx","Int[Cosh[x^(-5)]/x^6,x]","-\frac{1}{5} \sinh \left(\frac{1}{x^5}\right)","-\frac{1}{5} \sinh \left(\frac{1}{x^5}\right)",1,"-Sinh[x^(-5)]/5","A",2,2,8,0.2500,1,"{5321, 2637}"
25,1,33,0,0.077914,"\int \cosh \left(a+\frac{b}{x}\right) \, dx","Int[Cosh[a + b/x],x]","-b \sinh (a) \text{Chi}\left(\frac{b}{x}\right)-b \cosh (a) \text{Shi}\left(\frac{b}{x}\right)+x \cosh \left(a+\frac{b}{x}\right)","-b \sinh (a) \text{Chi}\left(\frac{b}{x}\right)-b \cosh (a) \text{Shi}\left(\frac{b}{x}\right)+x \cosh \left(a+\frac{b}{x}\right)",1,"x*Cosh[a + b/x] - b*CoshIntegral[b/x]*Sinh[a] - b*Cosh[a]*SinhIntegral[b/x]","A",5,5,8,0.6250,1,"{5303, 3297, 3303, 3298, 3301}"
26,1,21,0,0.0318961,"\int \frac{\cosh \left(a+\frac{b}{x}\right)}{x} \, dx","Int[Cosh[a + b/x]/x,x]","-\cosh (a) \text{Chi}\left(\frac{b}{x}\right)-\sinh (a) \text{Shi}\left(\frac{b}{x}\right)","-\cosh (a) \text{Chi}\left(\frac{b}{x}\right)-\sinh (a) \text{Shi}\left(\frac{b}{x}\right)",1,"-(Cosh[a]*CoshIntegral[b/x]) - Sinh[a]*SinhIntegral[b/x]","A",3,3,12,0.2500,1,"{5319, 5317, 5316}"
27,1,13,0,0.0153976,"\int \frac{\cosh \left(a+\frac{b}{x}\right)}{x^2} \, dx","Int[Cosh[a + b/x]/x^2,x]","-\frac{\sinh \left(a+\frac{b}{x}\right)}{b}","-\frac{\sinh \left(a+\frac{b}{x}\right)}{b}",1,"-(Sinh[a + b/x]/b)","A",2,2,12,0.1667,1,"{5321, 2637}"
28,1,29,0,0.0300225,"\int \frac{\cosh \left(a+\frac{b}{x}\right)}{x^3} \, dx","Int[Cosh[a + b/x]/x^3,x]","\frac{\cosh \left(a+\frac{b}{x}\right)}{b^2}-\frac{\sinh \left(a+\frac{b}{x}\right)}{b x}","\frac{\cosh \left(a+\frac{b}{x}\right)}{b^2}-\frac{\sinh \left(a+\frac{b}{x}\right)}{b x}",1,"Cosh[a + b/x]/b^2 - Sinh[a + b/x]/(b*x)","A",3,3,12,0.2500,1,"{5321, 3296, 2638}"
29,1,46,0,0.0530366,"\int \frac{\cosh \left(a+\frac{b}{x}\right)}{x^4} \, dx","Int[Cosh[a + b/x]/x^4,x]","-\frac{2 \sinh \left(a+\frac{b}{x}\right)}{b^3}+\frac{2 \cosh \left(a+\frac{b}{x}\right)}{b^2 x}-\frac{\sinh \left(a+\frac{b}{x}\right)}{b x^2}","-\frac{2 \sinh \left(a+\frac{b}{x}\right)}{b^3}+\frac{2 \cosh \left(a+\frac{b}{x}\right)}{b^2 x}-\frac{\sinh \left(a+\frac{b}{x}\right)}{b x^2}",1,"(2*Cosh[a + b/x])/(b^2*x) - (2*Sinh[a + b/x])/b^3 - Sinh[a + b/x]/(b*x^2)","A",4,3,12,0.2500,1,"{5321, 3296, 2637}"
30,1,67,0,0.0453171,"\int \cosh \left(a+\frac{b}{x^2}\right) \, dx","Int[Cosh[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 \cosh \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 \cosh \left(a+\frac{b}{x^2}\right)",1,"x*Cosh[a + b/x^2] + (Sqrt[b]*Sqrt[Pi]*Erf[Sqrt[b]/x])/(2*E^a) - (Sqrt[b]*E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/2","A",5,5,8,0.6250,1,"{5303, 5327, 5298, 2204, 2205}"
31,1,25,0,0.0320492,"\int \frac{\cosh \left(a+\frac{b}{x^2}\right)}{x} \, dx","Int[Cosh[a + b/x^2]/x,x]","-\frac{1}{2} \cosh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} \sinh (a) \text{Shi}\left(\frac{b}{x^2}\right)","-\frac{1}{2} \cosh (a) \text{Chi}\left(\frac{b}{x^2}\right)-\frac{1}{2} \sinh (a) \text{Shi}\left(\frac{b}{x^2}\right)",1,"-(Cosh[a]*CoshIntegral[b/x^2])/2 - (Sinh[a]*SinhIntegral[b/x^2])/2","A",3,3,12,0.2500,1,"{5319, 5317, 5316}"
32,1,57,0,0.0313734,"\int \frac{\cosh \left(a+\frac{b}{x^2}\right)}{x^2} \, dx","Int[Cosh[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,"{5347, 5299, 2204, 2205}"
33,1,15,0,0.0171619,"\int \frac{\cosh \left(a+\frac{b}{x^2}\right)}{x^3} \, dx","Int[Cosh[a + b/x^2]/x^3,x]","-\frac{\sinh \left(a+\frac{b}{x^2}\right)}{2 b}","-\frac{\sinh \left(a+\frac{b}{x^2}\right)}{2 b}",1,"-Sinh[a + b/x^2]/(2*b)","A",2,2,12,0.1667,1,"{5321, 2637}"
34,1,75,0,0.0493617,"\int \frac{\cosh \left(a+\frac{b}{x^2}\right)}{x^4} \, dx","Int[Cosh[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{\sinh \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{\sinh \left(a+\frac{b}{x^2}\right)}{2 b x}",1,"-(Sqrt[Pi]*Erf[Sqrt[b]/x])/(8*b^(3/2)*E^a) + (E^a*Sqrt[Pi]*Erfi[Sqrt[b]/x])/(8*b^(3/2)) - Sinh[a + b/x^2]/(2*b*x)","A",5,5,12,0.4167,1,"{5347, 5325, 5298, 2204, 2205}"
35,1,67,0,0.0215728,"\int \cosh \left(a+b x^n\right) \, dx","Int[Cosh[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,"{5307, 2208}"
36,1,25,0,0.0382602,"\int \frac{\cosh \left(a+b x^n\right)}{x} \, dx","Int[Cosh[a + b*x^n]/x,x]","\frac{\cosh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{\sinh (a) \text{Shi}\left(b x^n\right)}{n}","\frac{\cosh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{\sinh (a) \text{Shi}\left(b x^n\right)}{n}",1,"(Cosh[a]*CoshIntegral[b*x^n])/n + (Sinh[a]*SinhIntegral[b*x^n])/n","A",3,3,12,0.2500,1,"{5319, 5317, 5316}"
37,1,89,0,0.0701662,"\int \cosh ^2\left(a+b x^n\right) \, dx","Int[Cosh[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,"{5309, 5307, 2208}"
38,1,43,0,0.0630822,"\int \frac{\cosh ^2\left(a+b x^n\right)}{x} \, dx","Int[Cosh[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,"{5363, 5319, 5317, 5316}"
39,1,150,0,0.0795542,"\int \cosh ^3\left(a+b x^n\right) \, dx","Int[Cosh[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,"{5309, 5307, 2208}"
40,1,67,0,0.1002177,"\int \frac{\cosh ^3\left(a+b x^n\right)}{x} \, dx","Int[Cosh[a + b*x^n]^3/x,x]","\frac{3 \cosh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{\cosh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}+\frac{3 \sinh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{\sinh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}","\frac{3 \cosh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{\cosh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}+\frac{3 \sinh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{\sinh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}",1,"(3*Cosh[a]*CoshIntegral[b*x^n])/(4*n) + (Cosh[3*a]*CoshIntegral[3*b*x^n])/(4*n) + (3*Sinh[a]*SinhIntegral[b*x^n])/(4*n) + (Sinh[3*a]*SinhIntegral[3*b*x^n])/(4*n)","A",8,4,14,0.2857,1,"{5363, 5319, 5317, 5316}"
41,0,0,0,0.0222553,"\int (e x)^m \left(b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^m*(b*Cosh[c + d*x^n])^p,x]","\int (e x)^m \left(b \cosh \left(c+d x^n\right)\right)^p \, dx","\text{Int}\left((e x)^m \left(b \cosh \left(c+d x^n\right)\right)^p,x\right)",0,"Defer[Int][(e*x)^m*(b*Cosh[c + d*x^n])^p, x]","A",0,0,0,0,-1,"{}"
42,0,0,0,0.0256142,"\int (e x)^m \left(a+b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^m*(a + b*Cosh[c + d*x^n])^p,x]","\int (e x)^m \left(a+b \cosh \left(c+d x^n\right)\right)^p \, dx","\text{Int}\left((e x)^m \left(a+b \cosh \left(c+d x^n\right)\right)^p,x\right)",0,"Defer[Int][(e*x)^m*(a + b*Cosh[c + d*x^n])^p, x]","A",0,0,0,0,-1,"{}"
43,1,95,0,0.1042797,"\int (e x)^{-1+n} \left(b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + n)*(b*Cosh[c + d*x^n])^p,x]","-\frac{x^{-n} (e x)^n \sinh \left(c+d x^n\right) \left(b \cosh \left(c+d x^n\right)\right)^{p+1} \, _2F_1\left(\frac{1}{2},\frac{p+1}{2};\frac{p+3}{2};\cosh ^2\left(d x^n+c\right)\right)}{b d e n (p+1) \sqrt{-\sinh ^2\left(c+d x^n\right)}}","-\frac{x^{-n} (e x)^n \sinh \left(c+d x^n\right) \left(b \cosh \left(c+d x^n\right)\right)^{p+1} \, _2F_1\left(\frac{1}{2},\frac{p+1}{2};\frac{p+3}{2};\cosh ^2\left(d x^n+c\right)\right)}{b d e n (p+1) \sqrt{-\sinh ^2\left(c+d x^n\right)}}",1,"-(((e*x)^n*(b*Cosh[c + d*x^n])^(1 + p)*Hypergeometric2F1[1/2, (1 + p)/2, (3 + p)/2, Cosh[c + d*x^n]^2]*Sinh[c + d*x^n])/(b*d*e*n*(1 + p)*x^n*Sqrt[-Sinh[c + d*x^n]^2]))","A",3,3,20,0.1500,1,"{5323, 5321, 2643}"
44,0,0,0,0.0521985,"\int (e x)^{-1+2 n} \left(b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p,x]","\int (e x)^{-1+2 n} \left(b \cosh \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 \cosh \left(c+d x^n\right)\right)^p,x\right)}{e}",0,"((e*x)^(2*n)*Defer[Int][x^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))","A",0,0,0,0,-1,"{}"
45,1,131,0,0.1869436,"\int (e x)^{-1+n} \left(a+b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + n)*(a + b*Cosh[c + d*x^n])^p,x]","\frac{\sqrt{2} x^{-n} (e x)^n \sinh \left(c+d x^n\right) \left(a+b \cosh \left(c+d x^n\right)\right)^p \left(\frac{a+b \cosh \left(c+d x^n\right)}{a+b}\right)^{-p} F_1\left(\frac{1}{2};\frac{1}{2},-p;\frac{3}{2};\frac{1}{2} \left(1-\cosh \left(d x^n+c\right)\right),\frac{b \left(1-\cosh \left(d x^n+c\right)\right)}{a+b}\right)}{d e n \sqrt{\cosh \left(c+d x^n\right)+1}}","\frac{\sqrt{2} x^{-n} (e x)^n \sinh \left(c+d x^n\right) \left(a+b \cosh \left(c+d x^n\right)\right)^p \left(\frac{a+b \cosh \left(c+d x^n\right)}{a+b}\right)^{-p} F_1\left(\frac{1}{2};\frac{1}{2},-p;\frac{3}{2};\frac{1}{2} \left(1-\cosh \left(d x^n+c\right)\right),\frac{b \left(1-\cosh \left(d x^n+c\right)\right)}{a+b}\right)}{d e n \sqrt{\cosh \left(c+d x^n\right)+1}}",1,"(Sqrt[2]*(e*x)^n*AppellF1[1/2, 1/2, -p, 3/2, (1 - Cosh[c + d*x^n])/2, (b*(1 - Cosh[c + d*x^n]))/(a + b)]*(a + b*Cosh[c + d*x^n])^p*Sinh[c + d*x^n])/(d*e*n*x^n*Sqrt[1 + Cosh[c + d*x^n]]*((a + b*Cosh[c + d*x^n])/(a + b))^p)","A",5,5,22,0.2273,1,"{5323, 5321, 2665, 139, 138}"
46,0,0,0,0.0611945,"\int (e x)^{-1+2 n} \left(a+b \cosh \left(c+d x^n\right)\right)^p \, dx","Int[(e*x)^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p,x]","\int (e x)^{-1+2 n} \left(a+b \cosh \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 \cosh \left(c+d x^n\right)\right)^p,x\right)}{e}",0,"((e*x)^(2*n)*Defer[Int][x^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))","A",0,0,0,0,-1,"{}"
47,1,89,0,0.0695113,"\int x^m \cosh \left(a+b x^n\right) \, dx","Int[x^m*Cosh[a + b*x^n],x]","-\frac{e^a x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{2 n}-\frac{e^{-a} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{2 n}","-\frac{e^a x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{2 n}-\frac{e^{-a} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{2 n}",1,"-(E^a*x^(1 + m)*Gamma[(1 + m)/n, -(b*x^n)])/(2*n*(-(b*x^n))^((1 + m)/n)) - (x^(1 + m)*Gamma[(1 + m)/n, b*x^n])/(2*E^a*n*(b*x^n)^((1 + m)/n))","A",3,2,12,0.1667,1,"{5361, 2218}"
48,1,128,0,0.1553106,"\int x^m \cosh ^2\left(a+b x^n\right) \, dx","Int[x^m*Cosh[a + b*x^n]^2,x]","-\frac{e^{2 a} 2^{-\frac{m+2 n+1}{n}} x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{m+2 n+1}{n}} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},2 b x^n\right)}{n}+\frac{x^{m+1}}{2 (m+1)}","-\frac{e^{2 a} 2^{-\frac{m+2 n+1}{n}} x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-2 b x^n\right)}{n}-\frac{e^{-2 a} 2^{-\frac{m+2 n+1}{n}} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},2 b x^n\right)}{n}+\frac{x^{m+1}}{2 (m+1)}",1,"x^(1 + m)/(2*(1 + m)) - (E^(2*a)*x^(1 + m)*Gamma[(1 + m)/n, -2*b*x^n])/(2^((1 + m + 2*n)/n)*n*(-(b*x^n))^((1 + m)/n)) - (x^(1 + m)*Gamma[(1 + m)/n, 2*b*x^n])/(2^((1 + m + 2*n)/n)*E^(2*a)*n*(b*x^n)^((1 + m)/n))","A",5,3,14,0.2143,1,"{5363, 5361, 2218}"
49,1,200,0,0.2055989,"\int x^m \cosh ^3\left(a+b x^n\right) \, dx","Int[x^m*Cosh[a + b*x^n]^3,x]","-\frac{e^{3 a} 3^{-\frac{m+1}{n}} 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 n}-\frac{3 e^a x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{8 n}-\frac{e^{-3 a} 3^{-\frac{m+1}{n}} 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 n}","-\frac{e^{3 a} 3^{-\frac{m+1}{n}} 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 n}-\frac{3 e^a x^{m+1} \left(-b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},-b x^n\right)}{8 n}-\frac{3 e^{-a} x^{m+1} \left(b x^n\right)^{-\frac{m+1}{n}} \text{Gamma}\left(\frac{m+1}{n},b x^n\right)}{8 n}-\frac{e^{-3 a} 3^{-\frac{m+1}{n}} 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 n}",1,"-(E^(3*a)*x^(1 + m)*Gamma[(1 + m)/n, -3*b*x^n])/(8*3^((1 + m)/n)*n*(-(b*x^n))^((1 + m)/n)) - (3*E^a*x^(1 + m)*Gamma[(1 + m)/n, -(b*x^n)])/(8*n*(-(b*x^n))^((1 + m)/n)) - (3*x^(1 + m)*Gamma[(1 + m)/n, b*x^n])/(8*E^a*n*(b*x^n)^((1 + m)/n)) - (x^(1 + m)*Gamma[(1 + m)/n, 3*b*x^n])/(8*3^((1 + m)/n)*E^(3*a)*n*(b*x^n)^((1 + m)/n))","A",8,3,14,0.2143,1,"{5363, 5361, 2218}"
50,1,45,0,0.0941003,"\int x^{-1-n} \cosh \left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Cosh[a + b*x^n],x]","\frac{b \sinh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{b \cosh (a) \text{Shi}\left(b x^n\right)}{n}-\frac{x^{-n} \cosh \left(a+b x^n\right)}{n}","\frac{b \sinh (a) \text{Chi}\left(b x^n\right)}{n}+\frac{b \cosh (a) \text{Shi}\left(b x^n\right)}{n}-\frac{x^{-n} \cosh \left(a+b x^n\right)}{n}",1,"-(Cosh[a + b*x^n]/(n*x^n)) + (b*CoshIntegral[b*x^n]*Sinh[a])/n + (b*Cosh[a]*SinhIntegral[b*x^n])/n","A",5,5,16,0.3125,1,"{5321, 3297, 3303, 3298, 3301}"
51,1,67,0,0.1295745,"\int x^{-1-n} \cosh ^2\left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Cosh[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,"{5363, 5321, 3297, 3303, 3298, 3301}"
52,1,113,0,0.2253291,"\int x^{-1-n} \cosh ^3\left(a+b x^n\right) \, dx","Int[x^(-1 - n)*Cosh[a + b*x^n]^3,x]","\frac{3 b \sinh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{3 b \sinh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}+\frac{3 b \cosh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{3 b \cosh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}-\frac{3 x^{-n} \cosh \left(a+b x^n\right)}{4 n}-\frac{x^{-n} \cosh \left(3 \left(a+b x^n\right)\right)}{4 n}","\frac{3 b \sinh (a) \text{Chi}\left(b x^n\right)}{4 n}+\frac{3 b \sinh (3 a) \text{Chi}\left(3 b x^n\right)}{4 n}+\frac{3 b \cosh (a) \text{Shi}\left(b x^n\right)}{4 n}+\frac{3 b \cosh (3 a) \text{Shi}\left(3 b x^n\right)}{4 n}-\frac{3 x^{-n} \cosh \left(a+b x^n\right)}{4 n}-\frac{x^{-n} \cosh \left(3 \left(a+b x^n\right)\right)}{4 n}",1,"(-3*Cosh[a + b*x^n])/(4*n*x^n) - Cosh[3*(a + b*x^n)]/(4*n*x^n) + (3*b*CoshIntegral[b*x^n]*Sinh[a])/(4*n) + (3*b*CoshIntegral[3*b*x^n]*Sinh[3*a])/(4*n) + (3*b*Cosh[a]*SinhIntegral[b*x^n])/(4*n) + (3*b*Cosh[3*a]*SinhIntegral[3*b*x^n])/(4*n)","A",12,6,18,0.3333,1,"{5363, 5321, 3297, 3303, 3298, 3301}"
53,1,71,0,0.0449982,"\int x^{-1+\frac{n}{2}} \cosh \left(a+b x^n\right) \, dx","Int[x^(-1 + n/2)*Cosh[a + b*x^n],x]","\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}+\frac{\sqrt{\pi } e^a \text{Erfi}\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,"{5357, 5299, 2204, 2205}"
54,1,113,0,0.1008753,"\int x^2 \cosh \left((a+b x)^2\right) \, dx","Int[x^2*Cosh[(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 \sinh \left((a+b x)^2\right)}{b^3}+\frac{(a+b x) \sinh \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 \sinh \left((a+b x)^2\right)}{b^3}+\frac{(a+b x) \sinh \left((a+b x)^2\right)}{2 b^3}",1,"(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*Sinh[(a + b*x)^2])/b^3 + ((a + b*x)*Sinh[(a + b*x)^2])/(2*b^3)","A",12,9,12,0.7500,1,"{5365, 6742, 5299, 2204, 2205, 5321, 2637, 5325, 5298}"
55,1,54,0,0.0530845,"\int x \cosh \left((a+b x)^2\right) \, dx","Int[x*Cosh[(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{\sinh \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{\sinh \left((a+b x)^2\right)}{2 b^2}",1,"-(a*Sqrt[Pi]*Erf[a + b*x])/(4*b^2) - (a*Sqrt[Pi]*Erfi[a + b*x])/(4*b^2) + Sinh[(a + b*x)^2]/(2*b^2)","A",8,7,10,0.7000,1,"{5365, 6742, 5299, 2204, 2205, 5321, 2637}"
56,1,37,0,0.017185,"\int \cosh \left((a+b x)^2\right) \, dx","Int[Cosh[(a + b*x)^2],x]","\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}+\frac{\sqrt{\pi } \text{Erfi}(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,"{5311, 5299, 2204, 2205}"
57,0,0,0,0.035585,"\int \frac{\cosh \left((a+b x)^2\right)}{x} \, dx","Int[Cosh[(a + b*x)^2]/x,x]","\int \frac{\cosh \left((a+b x)^2\right)}{x} \, dx","b \text{Int}\left(\frac{\cosh \left((a+b x)^2\right)}{b x},x\right)",0,"Defer[Subst][Defer[Int][Cosh[x^2]/(-a + x), x], x, a + b*x]","A",0,0,0,0,-1,"{}"
58,0,0,0,0.0402896,"\int \frac{\cosh \left((a+b x)^2\right)}{x^2} \, dx","Int[Cosh[(a + b*x)^2]/x^2,x]","\int \frac{\cosh \left((a+b x)^2\right)}{x^2} \, dx","\text{Int}\left(\frac{\cosh \left((a+b x)^2\right)}{x^2},x\right)",0,"b*Defer[Subst][Defer[Int][Cosh[x^2]/(-a + x)^2, x], x, a + b*x]","A",0,0,0,0,-1,"{}"
59,1,346,0,0.4240819,"\int x^2 \cosh \left(a+b \sqrt{c+d x}\right) \, dx","Int[x^2*Cosh[a + b*Sqrt[c + d*x]],x]","-\frac{2 c^2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{40 (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}-\frac{24 c \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}+\frac{240 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^5 d^3}-\frac{10 (c+d x)^2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{12 c (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{120 (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}+\frac{24 c \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}-\frac{240 \cosh \left(a+b \sqrt{c+d x}\right)}{b^6 d^3}+\frac{2 c^2 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}+\frac{2 (c+d x)^{5/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}-\frac{4 c (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}","-\frac{2 c^2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{40 (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}-\frac{24 c \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^3}+\frac{240 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^5 d^3}-\frac{10 (c+d x)^2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}+\frac{12 c (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^3}-\frac{120 (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}+\frac{24 c \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^3}-\frac{240 \cosh \left(a+b \sqrt{c+d x}\right)}{b^6 d^3}+\frac{2 c^2 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}+\frac{2 (c+d x)^{5/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}-\frac{4 c (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^3}",1,"(-240*Cosh[a + b*Sqrt[c + d*x]])/(b^6*d^3) + (24*c*Cosh[a + b*Sqrt[c + d*x]])/(b^4*d^3) - (2*c^2*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d^3) - (120*(c + d*x)*Cosh[a + b*Sqrt[c + d*x]])/(b^4*d^3) + (12*c*(c + d*x)*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d^3) - (10*(c + d*x)^2*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d^3) + (240*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b^5*d^3) - (24*c*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b^3*d^3) + (2*c^2*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b*d^3) + (40*(c + d*x)^(3/2)*Sinh[a + b*Sqrt[c + d*x]])/(b^3*d^3) - (4*c*(c + d*x)^(3/2)*Sinh[a + b*Sqrt[c + d*x]])/(b*d^3) + (2*(c + d*x)^(5/2)*Sinh[a + b*Sqrt[c + d*x]])/(b*d^3)","A",16,4,18,0.2222,1,"{5365, 5287, 3296, 2638}"
60,1,167,0,0.1882349,"\int x \cosh \left(a+b \sqrt{c+d x}\right) \, dx","Int[x*Cosh[a + b*Sqrt[c + d*x]],x]","\frac{12 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^2}-\frac{6 (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}+\frac{2 c \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}-\frac{12 \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^2}+\frac{2 (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^2}-\frac{2 c \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^2}","\frac{12 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b^3 d^2}-\frac{6 (c+d x) \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}+\frac{2 c \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d^2}-\frac{12 \cosh \left(a+b \sqrt{c+d x}\right)}{b^4 d^2}+\frac{2 (c+d x)^{3/2} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^2}-\frac{2 c \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d^2}",1,"(-12*Cosh[a + b*Sqrt[c + d*x]])/(b^4*d^2) + (2*c*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d^2) - (6*(c + d*x)*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d^2) + (12*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b^3*d^2) - (2*c*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b*d^2) + (2*(c + d*x)^(3/2)*Sinh[a + b*Sqrt[c + d*x]])/(b*d^2)","A",10,4,16,0.2500,1,"{5365, 5287, 3296, 2638}"
61,1,54,0,0.0472882,"\int \cosh \left(a+b \sqrt{c+d x}\right) \, dx","Int[Cosh[a + b*Sqrt[c + d*x]],x]","\frac{2 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d}-\frac{2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d}","\frac{2 \sqrt{c+d x} \sinh \left(a+b \sqrt{c+d x}\right)}{b d}-\frac{2 \cosh \left(a+b \sqrt{c+d x}\right)}{b^2 d}",1,"(-2*Cosh[a + b*Sqrt[c + d*x]])/(b^2*d) + (2*Sqrt[c + d*x]*Sinh[a + b*Sqrt[c + d*x]])/(b*d)","A",4,4,14,0.2857,1,"{5311, 5305, 3296, 2638}"
62,1,124,0,0.2897784,"\int \frac{\cosh \left(a+b \sqrt{c+d x}\right)}{x} \, dx","Int[Cosh[a + b*Sqrt[c + d*x]]/x,x]","\cosh \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{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)-\sinh \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{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)","\cosh \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{Chi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)-\sinh \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{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)",1,"Cosh[a + b*Sqrt[c]]*CoshIntegral[b*(Sqrt[c] - Sqrt[c + d*x])] + Cosh[a - b*Sqrt[c]]*CoshIntegral[b*(Sqrt[c] + Sqrt[c + d*x])] - Sinh[a + b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] - Sqrt[c + d*x])] + Sinh[a - b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] + Sqrt[c + d*x])]","A",10,5,18,0.2778,1,"{5365, 5293, 3303, 3298, 3301}"
63,1,182,0,0.3824179,"\int \frac{\cosh \left(a+b \sqrt{c+d x}\right)}{x^2} \, dx","Int[Cosh[a + b*Sqrt[c + d*x]]/x^2,x]","-\frac{b d \sinh \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{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{Shi}\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{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{\cosh \left(a+b \sqrt{c+d x}\right)}{x}","-\frac{b d \sinh \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{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{Shi}\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{Shi}\left(b \left(\sqrt{c}+\sqrt{c+d x}\right)\right)}{2 \sqrt{c}}-\frac{\cosh \left(a+b \sqrt{c+d x}\right)}{x}",1,"-(Cosh[a + b*Sqrt[c + d*x]]/x) - (b*d*CoshIntegral[b*(Sqrt[c] + Sqrt[c + d*x])]*Sinh[a - b*Sqrt[c]])/(2*Sqrt[c]) + (b*d*CoshIntegral[b*(Sqrt[c] - Sqrt[c + d*x])]*Sinh[a + b*Sqrt[c]])/(2*Sqrt[c]) - (b*d*Cosh[a + b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] - Sqrt[c + d*x])])/(2*Sqrt[c]) - (b*d*Cosh[a - b*Sqrt[c]]*SinhIntegral[b*(Sqrt[c] + Sqrt[c + d*x])])/(2*Sqrt[c])","A",11,6,18,0.3333,1,"{5365, 5289, 5280, 3303, 3298, 3301}"
64,1,537,0,0.703941,"\int x^2 \cosh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[x^2*Cosh[a + b*(c + d*x)^(1/3)],x]","\frac{6 c^2 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}-\frac{6 c^2 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}+\frac{168 (c+d x)^2 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{5040 (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}-\frac{120 c (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{60480 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^7 d^3}-\frac{720 c \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}+\frac{120960 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^9 d^3}-\frac{24 (c+d x)^{7/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{1008 (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}+\frac{30 c (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{20160 (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{360 c (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}-\frac{120960 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^8 d^3}+\frac{720 c \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{3 c^2 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}+\frac{3 (c+d x)^{8/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}-\frac{6 c (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}","\frac{6 c^2 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}-\frac{6 c^2 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}+\frac{168 (c+d x)^2 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{5040 (c+d x)^{4/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}-\frac{120 c (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^3}+\frac{60480 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^7 d^3}-\frac{720 c \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^3}+\frac{120960 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^9 d^3}-\frac{24 (c+d x)^{7/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{1008 (c+d x)^{5/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}+\frac{30 c (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^3}-\frac{20160 (c+d x) \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{360 c (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^3}-\frac{120960 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^8 d^3}+\frac{720 c \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^3}+\frac{3 c^2 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}+\frac{3 (c+d x)^{8/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}-\frac{6 c (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^3}",1,"(720*c*Cosh[a + b*(c + d*x)^(1/3)])/(b^6*d^3) - (120960*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^8*d^3) - (6*c^2*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d^3) + (360*c*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^4*d^3) - (20160*(c + d*x)*Cosh[a + b*(c + d*x)^(1/3)])/(b^6*d^3) + (30*c*(c + d*x)^(4/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d^3) - (1008*(c + d*x)^(5/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^4*d^3) - (24*(c + d*x)^(7/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d^3) + (120960*Sinh[a + b*(c + d*x)^(1/3)])/(b^9*d^3) + (6*c^2*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) - (720*c*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^5*d^3) + (60480*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^7*d^3) + (3*c^2*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d^3) - (120*c*(c + d*x)*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) + (5040*(c + d*x)^(4/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^5*d^3) - (6*c*(c + d*x)^(5/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d^3) + (168*(c + d*x)^2*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d^3) + (3*(c + d*x)^(8/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d^3)","A",23,6,18,0.3333,1,"{5365, 1593, 5287, 3296, 2637, 2638}"
65,1,261,0,0.3189646,"\int x \cosh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[x*Cosh[a + b*(c + d*x)^(1/3)],x]","\frac{60 (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{360 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^2}-\frac{6 c \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}-\frac{15 (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{180 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^2}+\frac{6 c \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{360 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^2}+\frac{3 (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}-\frac{3 c (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}","\frac{60 (c+d x) \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}+\frac{360 \sqrt[3]{c+d x} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^5 d^2}-\frac{6 c \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d^2}-\frac{15 (c+d x)^{4/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{180 (c+d x)^{2/3} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^4 d^2}+\frac{6 c \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d^2}-\frac{360 \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^6 d^2}+\frac{3 (c+d x)^{5/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}-\frac{3 c (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d^2}",1,"(-360*Cosh[a + b*(c + d*x)^(1/3)])/(b^6*d^2) + (6*c*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d^2) - (180*(c + d*x)^(2/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^4*d^2) - (15*(c + d*x)^(4/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d^2) - (6*c*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d^2) + (360*(c + d*x)^(1/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b^5*d^2) - (3*c*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d^2) + (60*(c + d*x)*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d^2) + (3*(c + d*x)^(5/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d^2)","A",13,5,16,0.3125,1,"{5365, 5287, 3296, 2637, 2638}"
66,1,85,0,0.0797936,"\int \cosh \left(a+b \sqrt[3]{c+d x}\right) \, dx","Int[Cosh[a + b*(c + d*x)^(1/3)],x]","\frac{6 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d}-\frac{6 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d}+\frac{3 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d}","\frac{6 \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b^3 d}-\frac{6 \sqrt[3]{c+d x} \cosh \left(a+b \sqrt[3]{c+d x}\right)}{b^2 d}+\frac{3 (c+d x)^{2/3} \sinh \left(a+b \sqrt[3]{c+d x}\right)}{b d}",1,"(-6*(c + d*x)^(1/3)*Cosh[a + b*(c + d*x)^(1/3)])/(b^2*d) + (6*Sinh[a + b*(c + d*x)^(1/3)])/(b^3*d) + (3*(c + d*x)^(2/3)*Sinh[a + b*(c + d*x)^(1/3)])/(b*d)","A",5,4,14,0.2857,1,"{5311, 5305, 3296, 2637}"
67,1,232,0,0.5178435,"\int \frac{\cosh \left(a+b \sqrt[3]{c+d x}\right)}{x} \, dx","Int[Cosh[a + b*(c + d*x)^(1/3)]/x,x]","\cosh \left(a+b \sqrt[3]{c}\right) \text{Chi}\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{Chi}\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{Chi}\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{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\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)+\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)","\cosh \left(a+b \sqrt[3]{c}\right) \text{Chi}\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{Chi}\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{Chi}\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{Shi}\left(b \left(\sqrt[3]{c}-\sqrt[3]{c+d x}\right)\right)-\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)+\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)",1,"Cosh[a + b*c^(1/3)]*CoshIntegral[b*(c^(1/3) - (c + d*x)^(1/3))] + Cosh[a + (-1)^(2/3)*b*c^(1/3)]*CoshIntegral[-(b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3)))] + Cosh[a - (-1)^(1/3)*b*c^(1/3)]*CoshIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))] - Sinh[a + b*c^(1/3)]*SinhIntegral[b*(c^(1/3) - (c + d*x)^(1/3))] - Sinh[a + (-1)^(2/3)*b*c^(1/3)]*SinhIntegral[b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3))] + Sinh[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,"{5365, 5293, 3303, 3298, 3301}"
68,1,329,0,0.6924463,"\int \frac{\cosh \left(a+b \sqrt[3]{c+d x}\right)}{x^2} \, dx","Int[Cosh[a + b*(c + d*x)^(1/3)]/x^2,x]","\frac{b d \sinh \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{\sqrt[3]{-1} b d \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)}{3 c^{2/3}}+\frac{(-1)^{2/3} b d \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)}{3 c^{2/3}}-\frac{b d \cosh \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 \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)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \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)}{3 c^{2/3}}-\frac{\cosh \left(a+b \sqrt[3]{c+d x}\right)}{x}","\frac{b d \sinh \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{\sqrt[3]{-1} b d \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)}{3 c^{2/3}}+\frac{(-1)^{2/3} b d \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)}{3 c^{2/3}}-\frac{b d \cosh \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 \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)}{3 c^{2/3}}-\frac{\sqrt[3]{-1} b d \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)}{3 c^{2/3}}-\frac{\cosh \left(a+b \sqrt[3]{c+d x}\right)}{x}",1,"-(Cosh[a + b*(c + d*x)^(1/3)]/x) + (b*d*CoshIntegral[b*(c^(1/3) - (c + d*x)^(1/3))]*Sinh[a + b*c^(1/3)])/(3*c^(2/3)) - ((-1)^(1/3)*b*d*CoshIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))]*Sinh[a - (-1)^(1/3)*b*c^(1/3)])/(3*c^(2/3)) + ((-1)^(2/3)*b*d*CoshIntegral[-(b*((-1)^(2/3)*c^(1/3) - (c + d*x)^(1/3)))]*Sinh[a + (-1)^(2/3)*b*c^(1/3)])/(3*c^(2/3)) - (b*d*Cosh[a + b*c^(1/3)]*SinhIntegral[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)]*SinhIntegral[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)]*SinhIntegral[b*((-1)^(1/3)*c^(1/3) + (c + d*x)^(1/3))])/(3*c^(2/3))","A",14,6,18,0.3333,1,"{5365, 5289, 5280, 3303, 3298, 3301}"