1,1,124,0,0.3206781,"\int x^3 (a+b x) \cosh (c+d x) \, dx","Int[x^3*(a + b*x)*Cosh[c + d*x],x]","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}",1,"(-6*a*Cosh[c + d*x])/d^4 - (24*b*x*Cosh[c + d*x])/d^4 - (3*a*x^2*Cosh[c + d*x])/d^2 - (4*b*x^3*Cosh[c + d*x])/d^2 + (24*b*Sinh[c + d*x])/d^5 + (6*a*x*Sinh[c + d*x])/d^3 + (12*b*x^2*Sinh[c + d*x])/d^3 + (a*x^3*Sinh[c + d*x])/d + (b*x^4*Sinh[c + d*x])/d","A",11,4,15,0.2667,1,"{6742, 3296, 2638, 2637}"
2,1,94,0,0.2169278,"\int x^2 (a+b x) \cosh (c+d x) \, dx","Int[x^2*(a + b*x)*Cosh[c + d*x],x]","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}",1,"(-6*b*Cosh[c + d*x])/d^4 - (2*a*x*Cosh[c + d*x])/d^2 - (3*b*x^2*Cosh[c + d*x])/d^2 + (2*a*Sinh[c + d*x])/d^3 + (6*b*x*Sinh[c + d*x])/d^3 + (a*x^2*Sinh[c + d*x])/d + (b*x^3*Sinh[c + d*x])/d","A",9,4,15,0.2667,1,"{6742, 3296, 2637, 2638}"
3,1,64,0,0.1139457,"\int x (a+b x) \cosh (c+d x) \, dx","Int[x*(a + b*x)*Cosh[c + d*x],x]","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}",1,"-((a*Cosh[c + d*x])/d^2) - (2*b*x*Cosh[c + d*x])/d^2 + (2*b*Sinh[c + d*x])/d^3 + (a*x*Sinh[c + d*x])/d + (b*x^2*Sinh[c + d*x])/d","A",7,4,13,0.3077,1,"{6742, 3296, 2638, 2637}"
4,1,28,0,0.0205861,"\int (a+b x) \cosh (c+d x) \, dx","Int[(a + b*x)*Cosh[c + d*x],x]","\frac{(a+b x) \sinh (c+d x)}{d}-\frac{b \cosh (c+d x)}{d^2}","\frac{(a+b x) \sinh (c+d x)}{d}-\frac{b \cosh (c+d x)}{d^2}",1,"-((b*Cosh[c + d*x])/d^2) + ((a + b*x)*Sinh[c + d*x])/d","A",2,2,12,0.1667,1,"{3296, 2638}"
5,1,28,0,0.1487642,"\int \frac{(a+b x) \cosh (c+d x)}{x} \, dx","Int[((a + b*x)*Cosh[c + d*x])/x,x]","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)+\frac{b \sinh (c+d x)}{d}","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)+\frac{b \sinh (c+d x)}{d}",1,"a*Cosh[c]*CoshIntegral[d*x] + (b*Sinh[c + d*x])/d + a*Sinh[c]*SinhIntegral[d*x]","A",6,5,15,0.3333,1,"{6742, 2637, 3303, 3298, 3301}"
6,1,47,0,0.2279977,"\int \frac{(a+b x) \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x)*Cosh[c + d*x])/x^2,x]","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)",1,"-((a*Cosh[c + d*x])/x) + b*Cosh[c]*CoshIntegral[d*x] + a*d*CoshIntegral[d*x]*Sinh[c] + a*d*Cosh[c]*SinhIntegral[d*x] + b*Sinh[c]*SinhIntegral[d*x]","A",9,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
7,1,88,0,0.28109,"\int \frac{(a+b x) \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x)*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+b d \sinh (c) \text{Chi}(d x)+b d \cosh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{x}","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+b d \sinh (c) \text{Chi}(d x)+b d \cosh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{x}",1,"-(a*Cosh[c + d*x])/(2*x^2) - (b*Cosh[c + d*x])/x + (a*d^2*Cosh[c]*CoshIntegral[d*x])/2 + b*d*CoshIntegral[d*x]*Sinh[c] - (a*d*Sinh[c + d*x])/(2*x) + b*d*Cosh[c]*SinhIntegral[d*x] + (a*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",11,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
8,1,132,0,0.3397989,"\int \frac{(a+b x) \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x)*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+\frac{1}{2} b d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b d^2 \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{2 x^2}-\frac{b d \sinh (c+d x)}{2 x}","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+\frac{1}{2} b d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b d^2 \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{2 x^2}-\frac{b d \sinh (c+d x)}{2 x}",1,"-(a*Cosh[c + d*x])/(3*x^3) - (b*Cosh[c + d*x])/(2*x^2) - (a*d^2*Cosh[c + d*x])/(6*x) + (b*d^2*Cosh[c]*CoshIntegral[d*x])/2 + (a*d^3*CoshIntegral[d*x]*Sinh[c])/6 - (a*d*Sinh[c + d*x])/(6*x^2) - (b*d*Sinh[c + d*x])/(2*x) + (a*d^3*Cosh[c]*SinhIntegral[d*x])/6 + (b*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",13,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
9,1,166,0,0.4061796,"\int \frac{(a+b x) \cosh (c+d x)}{x^5} \, dx","Int[((a + b*x)*Cosh[c + d*x])/x^5,x]","\frac{1}{24} a d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a d^4 \sinh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{24 x^2}-\frac{a d^3 \sinh (c+d x)}{24 x}-\frac{a d \sinh (c+d x)}{12 x^3}-\frac{a \cosh (c+d x)}{4 x^4}+\frac{1}{6} b d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} b d^3 \cosh (c) \text{Shi}(d x)-\frac{b d^2 \cosh (c+d x)}{6 x}-\frac{b d \sinh (c+d x)}{6 x^2}-\frac{b \cosh (c+d x)}{3 x^3}","\frac{1}{24} a d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a d^4 \sinh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{24 x^2}-\frac{a d^3 \sinh (c+d x)}{24 x}-\frac{a d \sinh (c+d x)}{12 x^3}-\frac{a \cosh (c+d x)}{4 x^4}+\frac{1}{6} b d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} b d^3 \cosh (c) \text{Shi}(d x)-\frac{b d^2 \cosh (c+d x)}{6 x}-\frac{b d \sinh (c+d x)}{6 x^2}-\frac{b \cosh (c+d x)}{3 x^3}",1,"-(a*Cosh[c + d*x])/(4*x^4) - (b*Cosh[c + d*x])/(3*x^3) - (a*d^2*Cosh[c + d*x])/(24*x^2) - (b*d^2*Cosh[c + d*x])/(6*x) + (a*d^4*Cosh[c]*CoshIntegral[d*x])/24 + (b*d^3*CoshIntegral[d*x]*Sinh[c])/6 - (a*d*Sinh[c + d*x])/(12*x^3) - (b*d*Sinh[c + d*x])/(6*x^2) - (a*d^3*Sinh[c + d*x])/(24*x) + (b*d^3*Cosh[c]*SinhIntegral[d*x])/6 + (a*d^4*Sinh[c]*SinhIntegral[d*x])/24","A",15,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
10,1,184,0,0.3464972,"\int x^2 (a+b x)^2 \cosh (c+d x) \, dx","Int[x^2*(a + b*x)^2*Cosh[c + d*x],x]","\frac{2 a^2 \sinh (c+d x)}{d^3}-\frac{2 a^2 x \cosh (c+d x)}{d^2}+\frac{a^2 x^2 \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}","\frac{2 a^2 \sinh (c+d x)}{d^3}-\frac{2 a^2 x \cosh (c+d x)}{d^2}+\frac{a^2 x^2 \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}",1,"(-12*a*b*Cosh[c + d*x])/d^4 - (24*b^2*x*Cosh[c + d*x])/d^4 - (2*a^2*x*Cosh[c + d*x])/d^2 - (6*a*b*x^2*Cosh[c + d*x])/d^2 - (4*b^2*x^3*Cosh[c + d*x])/d^2 + (24*b^2*Sinh[c + d*x])/d^5 + (2*a^2*Sinh[c + d*x])/d^3 + (12*a*b*x*Sinh[c + d*x])/d^3 + (12*b^2*x^2*Sinh[c + d*x])/d^3 + (a^2*x^2*Sinh[c + d*x])/d + (2*a*b*x^3*Sinh[c + d*x])/d + (b^2*x^4*Sinh[c + d*x])/d","A",14,4,17,0.2353,1,"{6742, 3296, 2637, 2638}"
11,1,134,0,0.2142878,"\int x (a+b x)^2 \cosh (c+d x) \, dx","Int[x*(a + b*x)^2*Cosh[c + d*x],x]","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}",1,"(-6*b^2*Cosh[c + d*x])/d^4 - (a^2*Cosh[c + d*x])/d^2 - (4*a*b*x*Cosh[c + d*x])/d^2 - (3*b^2*x^2*Cosh[c + d*x])/d^2 + (4*a*b*Sinh[c + d*x])/d^3 + (6*b^2*x*Sinh[c + d*x])/d^3 + (a^2*x*Sinh[c + d*x])/d + (2*a*b*x^2*Sinh[c + d*x])/d + (b^2*x^3*Sinh[c + d*x])/d","A",11,4,15,0.2667,1,"{6742, 3296, 2638, 2637}"
12,1,49,0,0.0479988,"\int (a+b x)^2 \cosh (c+d x) \, dx","Int[(a + b*x)^2*Cosh[c + d*x],x]","-\frac{2 b (a+b x) \cosh (c+d x)}{d^2}+\frac{(a+b x)^2 \sinh (c+d x)}{d}+\frac{2 b^2 \sinh (c+d x)}{d^3}","-\frac{2 b (a+b x) \cosh (c+d x)}{d^2}+\frac{(a+b x)^2 \sinh (c+d x)}{d}+\frac{2 b^2 \sinh (c+d x)}{d^3}",1,"(-2*b*(a + b*x)*Cosh[c + d*x])/d^2 + (2*b^2*Sinh[c + d*x])/d^3 + ((a + b*x)^2*Sinh[c + d*x])/d","A",3,2,14,0.1429,1,"{3296, 2637}"
13,1,62,0,0.1847522,"\int \frac{(a+b x)^2 \cosh (c+d x)}{x} \, dx","Int[((a + b*x)^2*Cosh[c + d*x])/x,x]","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)+\frac{2 a b \sinh (c+d x)}{d}-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)+\frac{2 a b \sinh (c+d x)}{d}-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}",1,"-((b^2*Cosh[c + d*x])/d^2) + a^2*Cosh[c]*CoshIntegral[d*x] + (2*a*b*Sinh[c + d*x])/d + (b^2*x*Sinh[c + d*x])/d + a^2*Sinh[c]*SinhIntegral[d*x]","A",8,7,17,0.4118,1,"{6742, 2637, 3303, 3298, 3301, 3296, 2638}"
14,1,70,0,0.2467335,"\int \frac{(a+b x)^2 \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x)^2*Cosh[c + d*x])/x^2,x]","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)+\frac{b^2 \sinh (c+d x)}{d}","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)+\frac{b^2 \sinh (c+d x)}{d}",1,"-((a^2*Cosh[c + d*x])/x) + 2*a*b*Cosh[c]*CoshIntegral[d*x] + a^2*d*CoshIntegral[d*x]*Sinh[c] + (b^2*Sinh[c + d*x])/d + a^2*d*Cosh[c]*SinhIntegral[d*x] + 2*a*b*Sinh[c]*SinhIntegral[d*x]","A",10,6,17,0.3529,1,"{6742, 2637, 3297, 3303, 3298, 3301}"
15,1,121,0,0.3386878,"\int \frac{(a+b x)^2 \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x)^2*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}+b^2 \cosh (c) \text{Chi}(d x)+b^2 \sinh (c) \text{Shi}(d x)","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}+b^2 \cosh (c) \text{Chi}(d x)+b^2 \sinh (c) \text{Shi}(d x)",1,"-(a^2*Cosh[c + d*x])/(2*x^2) - (2*a*b*Cosh[c + d*x])/x + b^2*Cosh[c]*CoshIntegral[d*x] + (a^2*d^2*Cosh[c]*CoshIntegral[d*x])/2 + 2*a*b*d*CoshIntegral[d*x]*Sinh[c] - (a^2*d*Sinh[c + d*x])/(2*x) + 2*a*b*d*Cosh[c]*SinhIntegral[d*x] + b^2*Sinh[c]*SinhIntegral[d*x] + (a^2*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",14,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
16,1,172,0,0.42641,"\int \frac{(a+b x)^2 \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x)^2*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+a b d^2 \cosh (c) \text{Chi}(d x)+a b d^2 \sinh (c) \text{Shi}(d x)-\frac{a b \cosh (c+d x)}{x^2}-\frac{a b d \sinh (c+d x)}{x}+b^2 d \sinh (c) \text{Chi}(d x)+b^2 d \cosh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{x}","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+a b d^2 \cosh (c) \text{Chi}(d x)+a b d^2 \sinh (c) \text{Shi}(d x)-\frac{a b \cosh (c+d x)}{x^2}-\frac{a b d \sinh (c+d x)}{x}+b^2 d \sinh (c) \text{Chi}(d x)+b^2 d \cosh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{x}",1,"-(a^2*Cosh[c + d*x])/(3*x^3) - (a*b*Cosh[c + d*x])/x^2 - (b^2*Cosh[c + d*x])/x - (a^2*d^2*Cosh[c + d*x])/(6*x) + a*b*d^2*Cosh[c]*CoshIntegral[d*x] + b^2*d*CoshIntegral[d*x]*Sinh[c] + (a^2*d^3*CoshIntegral[d*x]*Sinh[c])/6 - (a^2*d*Sinh[c + d*x])/(6*x^2) - (a*b*d*Sinh[c + d*x])/x + b^2*d*Cosh[c]*SinhIntegral[d*x] + (a^2*d^3*Cosh[c]*SinhIntegral[d*x])/6 + a*b*d^2*Sinh[c]*SinhIntegral[d*x]","A",17,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
17,1,248,0,0.5206989,"\int \frac{(a+b x)^2 \cosh (c+d x)}{x^5} \, dx","Int[((a + b*x)^2*Cosh[c + d*x])/x^5,x]","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+\frac{1}{3} a b d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{3} a b d^3 \cosh (c) \text{Shi}(d x)-\frac{a b d^2 \cosh (c+d x)}{3 x}-\frac{a b d \sinh (c+d x)}{3 x^2}-\frac{2 a b \cosh (c+d x)}{3 x^3}+\frac{1}{2} b^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{2 x^2}-\frac{b^2 d \sinh (c+d x)}{2 x}","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+\frac{1}{3} a b d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{3} a b d^3 \cosh (c) \text{Shi}(d x)-\frac{a b d^2 \cosh (c+d x)}{3 x}-\frac{a b d \sinh (c+d x)}{3 x^2}-\frac{2 a b \cosh (c+d x)}{3 x^3}+\frac{1}{2} b^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{2 x^2}-\frac{b^2 d \sinh (c+d x)}{2 x}",1,"-(a^2*Cosh[c + d*x])/(4*x^4) - (2*a*b*Cosh[c + d*x])/(3*x^3) - (b^2*Cosh[c + d*x])/(2*x^2) - (a^2*d^2*Cosh[c + d*x])/(24*x^2) - (a*b*d^2*Cosh[c + d*x])/(3*x) + (b^2*d^2*Cosh[c]*CoshIntegral[d*x])/2 + (a^2*d^4*Cosh[c]*CoshIntegral[d*x])/24 + (a*b*d^3*CoshIntegral[d*x]*Sinh[c])/3 - (a^2*d*Sinh[c + d*x])/(12*x^3) - (a*b*d*Sinh[c + d*x])/(3*x^2) - (b^2*d*Sinh[c + d*x])/(2*x) - (a^2*d^3*Sinh[c + d*x])/(24*x) + (a*b*d^3*Cosh[c]*SinhIntegral[d*x])/3 + (b^2*d^2*Sinh[c]*SinhIntegral[d*x])/2 + (a^2*d^4*Sinh[c]*SinhIntegral[d*x])/24","A",20,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
18,1,219,0,0.4840272,"\int \frac{x^4 \cosh (c+d x)}{a+b x} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x),x]","\frac{a^4 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^2 \cosh (c+d x)}{b^3 d^2}+\frac{a^4 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^3 \sinh (c+d x)}{b^4 d}+\frac{a^2 x \sinh (c+d x)}{b^3 d}-\frac{2 a \sinh (c+d x)}{b^2 d^3}+\frac{2 a x \cosh (c+d x)}{b^2 d^2}-\frac{a x^2 \sinh (c+d x)}{b^2 d}-\frac{3 x^2 \cosh (c+d x)}{b d^2}+\frac{6 x \sinh (c+d x)}{b d^3}-\frac{6 \cosh (c+d x)}{b d^4}+\frac{x^3 \sinh (c+d x)}{b d}","\frac{a^4 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^2 \cosh (c+d x)}{b^3 d^2}+\frac{a^4 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^3 \sinh (c+d x)}{b^4 d}+\frac{a^2 x \sinh (c+d x)}{b^3 d}-\frac{2 a \sinh (c+d x)}{b^2 d^3}+\frac{2 a x \cosh (c+d x)}{b^2 d^2}-\frac{a x^2 \sinh (c+d x)}{b^2 d}-\frac{3 x^2 \cosh (c+d x)}{b d^2}+\frac{6 x \sinh (c+d x)}{b d^3}-\frac{6 \cosh (c+d x)}{b d^4}+\frac{x^3 \sinh (c+d x)}{b d}",1,"(-6*Cosh[c + d*x])/(b*d^4) - (a^2*Cosh[c + d*x])/(b^3*d^2) + (2*a*x*Cosh[c + d*x])/(b^2*d^2) - (3*x^2*Cosh[c + d*x])/(b*d^2) + (a^4*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^5 - (2*a*Sinh[c + d*x])/(b^2*d^3) - (a^3*Sinh[c + d*x])/(b^4*d) + (6*x*Sinh[c + d*x])/(b*d^3) + (a^2*x*Sinh[c + d*x])/(b^3*d) - (a*x^2*Sinh[c + d*x])/(b^2*d) + (x^3*Sinh[c + d*x])/(b*d) + (a^4*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^5","A",15,7,17,0.4118,1,"{6742, 2637, 3296, 2638, 3303, 3298, 3301}"
19,1,150,0,0.3285393,"\int \frac{x^3 \cosh (c+d x)}{a+b x} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x),x]","-\frac{a^3 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^3 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{a^2 \sinh (c+d x)}{b^3 d}+\frac{a \cosh (c+d x)}{b^2 d^2}-\frac{a x \sinh (c+d x)}{b^2 d}+\frac{2 \sinh (c+d x)}{b d^3}-\frac{2 x \cosh (c+d x)}{b d^2}+\frac{x^2 \sinh (c+d x)}{b d}","-\frac{a^3 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^3 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{a^2 \sinh (c+d x)}{b^3 d}+\frac{a \cosh (c+d x)}{b^2 d^2}-\frac{a x \sinh (c+d x)}{b^2 d}+\frac{2 \sinh (c+d x)}{b d^3}-\frac{2 x \cosh (c+d x)}{b d^2}+\frac{x^2 \sinh (c+d x)}{b d}",1,"(a*Cosh[c + d*x])/(b^2*d^2) - (2*x*Cosh[c + d*x])/(b*d^2) - (a^3*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^4 + (2*Sinh[c + d*x])/(b*d^3) + (a^2*Sinh[c + d*x])/(b^3*d) - (a*x*Sinh[c + d*x])/(b^2*d) + (x^2*Sinh[c + d*x])/(b*d) - (a^3*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^4","A",11,7,17,0.4118,1,"{6742, 2637, 3296, 2638, 3303, 3298, 3301}"
20,1,100,0,0.2622601,"\int \frac{x^2 \cosh (c+d x)}{a+b x} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x),x]","\frac{a^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{a \sinh (c+d x)}{b^2 d}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}","\frac{a^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{a \sinh (c+d x)}{b^2 d}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}",1,"-(Cosh[c + d*x]/(b*d^2)) + (a^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^3 - (a*Sinh[c + d*x])/(b^2*d) + (x*Sinh[c + d*x])/(b*d) + (a^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^3","A",8,7,17,0.4118,1,"{6742, 2637, 3296, 2638, 3303, 3298, 3301}"
21,1,68,0,0.1761473,"\int \frac{x \cosh (c+d x)}{a+b x} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x),x]","-\frac{a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{\sinh (c+d x)}{b d}","-\frac{a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{\sinh (c+d x)}{b d}",1,"-((a*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^2) + Sinh[c + d*x]/(b*d) - (a*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^2","A",6,5,15,0.3333,1,"{6742, 2637, 3303, 3298, 3301}"
22,1,51,0,0.0795504,"\int \frac{\cosh (c+d x)}{a+b x} \, dx","Int[Cosh[c + d*x]/(a + b*x),x]","\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b}","\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b}",1,"(Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b + (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b","A",3,3,14,0.2143,1,"{3303, 3298, 3301}"
23,1,73,0,0.258935,"\int \frac{\cosh (c+d x)}{x (a+b x)} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x)),x]","-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}","-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}",1,"(Cosh[c]*CoshIntegral[d*x])/a - (Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a + (Sinh[c]*SinhIntegral[d*x])/a - (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a","A",8,4,17,0.2353,1,"{6742, 3303, 3298, 3301}"
24,1,113,0,0.3686785,"\int \frac{\cosh (c+d x)}{x^2 (a+b x)} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x)),x]","-\frac{b \cosh (c) \text{Chi}(d x)}{a^2}+\frac{b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{b \sinh (c) \text{Shi}(d x)}{a^2}+\frac{b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}","-\frac{b \cosh (c) \text{Chi}(d x)}{a^2}+\frac{b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{b \sinh (c) \text{Shi}(d x)}{a^2}+\frac{b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}",1,"-(Cosh[c + d*x]/(a*x)) - (b*Cosh[c]*CoshIntegral[d*x])/a^2 + (b*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^2 + (d*CoshIntegral[d*x]*Sinh[c])/a + (d*Cosh[c]*SinhIntegral[d*x])/a - (b*Sinh[c]*SinhIntegral[d*x])/a^2 + (b*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^2","A",12,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
25,1,190,0,0.4851214,"\int \frac{\cosh (c+d x)}{x^3 (a+b x)} \, dx","Int[Cosh[c + d*x]/(x^3*(a + b*x)),x]","\frac{b^2 \cosh (c) \text{Chi}(d x)}{a^3}-\frac{b^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}+\frac{b^2 \sinh (c) \text{Shi}(d x)}{a^3}-\frac{b^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{b d \sinh (c) \text{Chi}(d x)}{a^2}-\frac{b d \cosh (c) \text{Shi}(d x)}{a^2}+\frac{b \cosh (c+d x)}{a^2 x}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}","\frac{b^2 \cosh (c) \text{Chi}(d x)}{a^3}-\frac{b^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}+\frac{b^2 \sinh (c) \text{Shi}(d x)}{a^3}-\frac{b^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{b d \sinh (c) \text{Chi}(d x)}{a^2}-\frac{b d \cosh (c) \text{Shi}(d x)}{a^2}+\frac{b \cosh (c+d x)}{a^2 x}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}",1,"-Cosh[c + d*x]/(2*a*x^2) + (b*Cosh[c + d*x])/(a^2*x) + (b^2*Cosh[c]*CoshIntegral[d*x])/a^3 + (d^2*Cosh[c]*CoshIntegral[d*x])/(2*a) - (b^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^3 - (b*d*CoshIntegral[d*x]*Sinh[c])/a^2 - (d*Sinh[c + d*x])/(2*a*x) - (b*d*Cosh[c]*SinhIntegral[d*x])/a^2 + (b^2*Sinh[c]*SinhIntegral[d*x])/a^3 + (d^2*Sinh[c]*SinhIntegral[d*x])/(2*a) - (b^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^3","A",17,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
26,1,231,0,0.5361439,"\int \frac{x^4 \cosh (c+d x)}{(a+b x)^2} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x)^2,x]","\frac{a^4 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^6}-\frac{4 a^3 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{4 a^3 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^4 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^6}+\frac{3 a^2 \sinh (c+d x)}{b^4 d}-\frac{a^4 \cosh (c+d x)}{b^5 (a+b x)}+\frac{2 a \cosh (c+d x)}{b^3 d^2}-\frac{2 a x \sinh (c+d x)}{b^3 d}+\frac{2 \sinh (c+d x)}{b^2 d^3}-\frac{2 x \cosh (c+d x)}{b^2 d^2}+\frac{x^2 \sinh (c+d x)}{b^2 d}","\frac{a^4 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^6}-\frac{4 a^3 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{4 a^3 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^4 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^6}+\frac{3 a^2 \sinh (c+d x)}{b^4 d}-\frac{a^4 \cosh (c+d x)}{b^5 (a+b x)}+\frac{2 a \cosh (c+d x)}{b^3 d^2}-\frac{2 a x \sinh (c+d x)}{b^3 d}+\frac{2 \sinh (c+d x)}{b^2 d^3}-\frac{2 x \cosh (c+d x)}{b^2 d^2}+\frac{x^2 \sinh (c+d x)}{b^2 d}",1,"(2*a*Cosh[c + d*x])/(b^3*d^2) - (2*x*Cosh[c + d*x])/(b^2*d^2) - (a^4*Cosh[c + d*x])/(b^5*(a + b*x)) - (4*a^3*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^5 + (a^4*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^6 + (2*Sinh[c + d*x])/(b^2*d^3) + (3*a^2*Sinh[c + d*x])/(b^4*d) - (2*a*x*Sinh[c + d*x])/(b^3*d) + (x^2*Sinh[c + d*x])/(b^2*d) + (a^4*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^6 - (4*a^3*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^5","A",15,8,17,0.4706,1,"{6742, 2637, 3296, 2638, 3297, 3303, 3298, 3301}"
27,1,182,0,0.4228908,"\int \frac{x^3 \cosh (c+d x)}{(a+b x)^2} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x)^2,x]","-\frac{a^3 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{3 a^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{3 a^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^3 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^3 \cosh (c+d x)}{b^4 (a+b x)}-\frac{2 a \sinh (c+d x)}{b^3 d}-\frac{\cosh (c+d x)}{b^2 d^2}+\frac{x \sinh (c+d x)}{b^2 d}","-\frac{a^3 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{3 a^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{3 a^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^3 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^3 \cosh (c+d x)}{b^4 (a+b x)}-\frac{2 a \sinh (c+d x)}{b^3 d}-\frac{\cosh (c+d x)}{b^2 d^2}+\frac{x \sinh (c+d x)}{b^2 d}",1,"-(Cosh[c + d*x]/(b^2*d^2)) + (a^3*Cosh[c + d*x])/(b^4*(a + b*x)) + (3*a^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^4 - (a^3*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^5 - (2*a*Sinh[c + d*x])/(b^3*d) + (x*Sinh[c + d*x])/(b^2*d) - (a^3*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^5 + (3*a^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^4","A",12,8,17,0.4706,1,"{6742, 2637, 3296, 2638, 3297, 3303, 3298, 3301}"
28,1,147,0,0.3745787,"\int \frac{x^2 \cosh (c+d x)}{(a+b x)^2} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x)^2,x]","\frac{a^2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{a^2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^2 \cosh (c+d x)}{b^3 (a+b x)}-\frac{2 a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{2 a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\sinh (c+d x)}{b^2 d}","\frac{a^2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{a^2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{a^2 \cosh (c+d x)}{b^3 (a+b x)}-\frac{2 a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{2 a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\sinh (c+d x)}{b^2 d}",1,"-((a^2*Cosh[c + d*x])/(b^3*(a + b*x))) - (2*a*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^3 + (a^2*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^4 + Sinh[c + d*x]/(b^2*d) + (a^2*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^4 - (2*a*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^3","A",10,6,17,0.3529,1,"{6742, 2637, 3297, 3303, 3298, 3301}"
29,1,125,0,0.2972476,"\int \frac{x \cosh (c+d x)}{(a+b x)^2} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x)^2,x]","-\frac{a d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{a d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a \cosh (c+d x)}{b^2 (a+b x)}","-\frac{a d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{a d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a \cosh (c+d x)}{b^2 (a+b x)}",1,"(a*Cosh[c + d*x])/(b^2*(a + b*x)) + (Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^2 - (a*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^3 - (a*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^3 + (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^2","A",9,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
30,1,71,0,0.1099927,"\int \frac{\cosh (c+d x)}{(a+b x)^2} \, dx","Int[Cosh[c + d*x]/(a + b*x)^2,x]","\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{\cosh (c+d x)}{b (a+b x)}","\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^2}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^2}-\frac{\cosh (c+d x)}{b (a+b x)}",1,"-(Cosh[c + d*x]/(b*(a + b*x))) + (d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^2 + (d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^2","A",4,4,14,0.2857,1,"{3297, 3303, 3298, 3301}"
31,1,150,0,0.4002743,"\int \frac{\cosh (c+d x)}{x (a+b x)^2} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x)^2),x]","-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a b}-\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a b}+\frac{\cosh (c+d x)}{a (a+b x)}","-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a b}-\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a b}+\frac{\cosh (c+d x)}{a (a+b x)}",1,"Cosh[c + d*x]/(a*(a + b*x)) + (Cosh[c]*CoshIntegral[d*x])/a^2 - (Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^2 - (d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/(a*b) + (Sinh[c]*SinhIntegral[d*x])/a^2 - (d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(a*b) - (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^2","A",12,5,17,0.2941,1,"{6742, 3303, 3298, 3301, 3297}"
32,1,186,0,0.5010742,"\int \frac{\cosh (c+d x)}{x^2 (a+b x)^2} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x)^2),x]","\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{2 b \cosh (c) \text{Chi}(d x)}{a^3}+\frac{2 b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{2 b \sinh (c) \text{Shi}(d x)}{a^3}+\frac{2 b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{b \cosh (c+d x)}{a^2 (a+b x)}+\frac{d \sinh (c) \text{Chi}(d x)}{a^2}+\frac{d \cosh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{a^2 x}","\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{2 b \cosh (c) \text{Chi}(d x)}{a^3}+\frac{2 b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{2 b \sinh (c) \text{Shi}(d x)}{a^3}+\frac{2 b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2}-\frac{b \cosh (c+d x)}{a^2 (a+b x)}+\frac{d \sinh (c) \text{Chi}(d x)}{a^2}+\frac{d \cosh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{a^2 x}",1,"-(Cosh[c + d*x]/(a^2*x)) - (b*Cosh[c + d*x])/(a^2*(a + b*x)) - (2*b*Cosh[c]*CoshIntegral[d*x])/a^3 + (2*b*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^3 + (d*CoshIntegral[d*x]*Sinh[c])/a^2 + (d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/a^2 + (d*Cosh[c]*SinhIntegral[d*x])/a^2 - (2*b*Sinh[c]*SinhIntegral[d*x])/a^3 + (d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^2 + (2*b*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^3","A",16,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
33,1,264,0,0.6180722,"\int \frac{x^3 \cosh (c+d x)}{(a+b x)^3} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x)^3,x]","-\frac{a^3 d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^6}+\frac{3 a^2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^3 d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^6}+\frac{3 a^2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^3 d \sinh (c+d x)}{2 b^5 (a+b x)}+\frac{a^3 \cosh (c+d x)}{2 b^4 (a+b x)^2}-\frac{3 a^2 \cosh (c+d x)}{b^4 (a+b x)}-\frac{3 a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{3 a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{\sinh (c+d x)}{b^3 d}","-\frac{a^3 d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^6}+\frac{3 a^2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^5}-\frac{a^3 d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^6}+\frac{3 a^2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^5}+\frac{a^3 d \sinh (c+d x)}{2 b^5 (a+b x)}+\frac{a^3 \cosh (c+d x)}{2 b^4 (a+b x)^2}-\frac{3 a^2 \cosh (c+d x)}{b^4 (a+b x)}-\frac{3 a \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}-\frac{3 a \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{\sinh (c+d x)}{b^3 d}",1,"(a^3*Cosh[c + d*x])/(2*b^4*(a + b*x)^2) - (3*a^2*Cosh[c + d*x])/(b^4*(a + b*x)) - (3*a*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^4 - (a^3*d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*b^6) + (3*a^2*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^5 + Sinh[c + d*x]/(b^3*d) + (a^3*d*Sinh[c + d*x])/(2*b^5*(a + b*x)) + (3*a^2*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^5 - (3*a*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^4 - (a^3*d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*b^6)","A",15,6,17,0.3529,1,"{6742, 2637, 3297, 3303, 3298, 3301}"
34,1,241,0,0.5303626,"\int \frac{x^2 \cosh (c+d x)}{(a+b x)^3} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x)^3,x]","\frac{a^2 d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^5}+\frac{a^2 d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^5}-\frac{a^2 d \sinh (c+d x)}{2 b^4 (a+b x)}-\frac{a^2 \cosh (c+d x)}{2 b^3 (a+b x)^2}-\frac{2 a d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{2 a d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{2 a \cosh (c+d x)}{b^3 (a+b x)}","\frac{a^2 d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^5}+\frac{a^2 d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^5}-\frac{a^2 d \sinh (c+d x)}{2 b^4 (a+b x)}-\frac{a^2 \cosh (c+d x)}{2 b^3 (a+b x)^2}-\frac{2 a d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{2 a d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^4}+\frac{2 a \cosh (c+d x)}{b^3 (a+b x)}",1,"-(a^2*Cosh[c + d*x])/(2*b^3*(a + b*x)^2) + (2*a*Cosh[c + d*x])/(b^3*(a + b*x)) + (Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/b^3 + (a^2*d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*b^5) - (2*a*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^4 - (a^2*d*Sinh[c + d*x])/(2*b^4*(a + b*x)) - (2*a*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^4 + (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^3 + (a^2*d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*b^5)","A",14,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
35,1,178,0,0.3699887,"\int \frac{x \cosh (c+d x)}{(a+b x)^3} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x)^3,x]","-\frac{a d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^4}+\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{a d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^4}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a d \sinh (c+d x)}{2 b^3 (a+b x)}-\frac{\cosh (c+d x)}{b^2 (a+b x)}+\frac{a \cosh (c+d x)}{2 b^2 (a+b x)^2}","-\frac{a d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^4}+\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{b^3}-\frac{a d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^4}+\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{b^3}+\frac{a d \sinh (c+d x)}{2 b^3 (a+b x)}-\frac{\cosh (c+d x)}{b^2 (a+b x)}+\frac{a \cosh (c+d x)}{2 b^2 (a+b x)^2}",1,"(a*Cosh[c + d*x])/(2*b^2*(a + b*x)^2) - Cosh[c + d*x]/(b^2*(a + b*x)) - (a*d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*b^4) + (d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/b^3 + (a*d*Sinh[c + d*x])/(2*b^3*(a + b*x)) + (d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/b^3 - (a*d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*b^4)","A",11,5,15,0.3333,1,"{6742, 3297, 3303, 3298, 3301}"
36,1,104,0,0.1462974,"\int \frac{\cosh (c+d x)}{(a+b x)^3} \, dx","Int[Cosh[c + d*x]/(a + b*x)^3,x]","\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^3}+\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^3}-\frac{d \sinh (c+d x)}{2 b^2 (a+b x)}-\frac{\cosh (c+d x)}{2 b (a+b x)^2}","\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 b^3}+\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 b^3}-\frac{d \sinh (c+d x)}{2 b^2 (a+b x)}-\frac{\cosh (c+d x)}{2 b (a+b x)^2}",1,"-Cosh[c + d*x]/(2*b*(a + b*x)^2) + (d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*b^3) - (d*Sinh[c + d*x])/(2*b^2*(a + b*x)) + (d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*b^3)","A",5,4,14,0.2857,1,"{3297, 3303, 3298, 3301}"
37,1,262,0,0.5612273,"\int \frac{\cosh (c+d x)}{x (a+b x)^3} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x)^3),x]","-\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2 b}-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2 b}+\frac{\cosh (c+d x)}{a^2 (a+b x)}+\frac{\cosh (c) \text{Chi}(d x)}{a^3}+\frac{\sinh (c) \text{Shi}(d x)}{a^3}-\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a b^2}-\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a b^2}+\frac{d \sinh (c+d x)}{2 a b (a+b x)}+\frac{\cosh (c+d x)}{2 a (a+b x)^2}","-\frac{d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^2 b}-\frac{\cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{\sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^2 b}+\frac{\cosh (c+d x)}{a^2 (a+b x)}+\frac{\cosh (c) \text{Chi}(d x)}{a^3}+\frac{\sinh (c) \text{Shi}(d x)}{a^3}-\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a b^2}-\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a b^2}+\frac{d \sinh (c+d x)}{2 a b (a+b x)}+\frac{\cosh (c+d x)}{2 a (a+b x)^2}",1,"Cosh[c + d*x]/(2*a*(a + b*x)^2) + Cosh[c + d*x]/(a^2*(a + b*x)) + (Cosh[c]*CoshIntegral[d*x])/a^3 - (Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^3 - (d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*a*b^2) - (d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/(a^2*b) + (d*Sinh[c + d*x])/(2*a*b*(a + b*x)) + (Sinh[c]*SinhIntegral[d*x])/a^3 - (d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(a^2*b) - (Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^3 - (d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*a*b^2)","A",17,5,17,0.2941,1,"{6742, 3303, 3298, 3301, 3297}"
38,1,298,0,0.6899963,"\int \frac{\cosh (c+d x)}{x^2 (a+b x)^3} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x)^3),x]","\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a^2 b}+\frac{2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{3 b \cosh (c) \text{Chi}(d x)}{a^4}+\frac{3 b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a^2 b}-\frac{3 b \sinh (c) \text{Shi}(d x)}{a^4}+\frac{3 b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{d \sinh (c+d x)}{2 a^2 (a+b x)}-\frac{2 b \cosh (c+d x)}{a^3 (a+b x)}-\frac{b \cosh (c+d x)}{2 a^2 (a+b x)^2}+\frac{d \sinh (c) \text{Chi}(d x)}{a^3}+\frac{d \cosh (c) \text{Shi}(d x)}{a^3}-\frac{\cosh (c+d x)}{a^3 x}","\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a^2 b}+\frac{2 d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{3 b \cosh (c) \text{Chi}(d x)}{a^4}+\frac{3 b \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a^2 b}-\frac{3 b \sinh (c) \text{Shi}(d x)}{a^4}+\frac{3 b \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{2 d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^3}-\frac{d \sinh (c+d x)}{2 a^2 (a+b x)}-\frac{2 b \cosh (c+d x)}{a^3 (a+b x)}-\frac{b \cosh (c+d x)}{2 a^2 (a+b x)^2}+\frac{d \sinh (c) \text{Chi}(d x)}{a^3}+\frac{d \cosh (c) \text{Shi}(d x)}{a^3}-\frac{\cosh (c+d x)}{a^3 x}",1,"-(Cosh[c + d*x]/(a^3*x)) - (b*Cosh[c + d*x])/(2*a^2*(a + b*x)^2) - (2*b*Cosh[c + d*x])/(a^3*(a + b*x)) - (3*b*Cosh[c]*CoshIntegral[d*x])/a^4 + (3*b*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^4 + (d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*a^2*b) + (d*CoshIntegral[d*x]*Sinh[c])/a^3 + (2*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/a^3 - (d*Sinh[c + d*x])/(2*a^2*(a + b*x)) + (d*Cosh[c]*SinhIntegral[d*x])/a^3 - (3*b*Sinh[c]*SinhIntegral[d*x])/a^4 + (2*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^3 + (3*b*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^4 + (d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*a^2*b)","A",21,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
39,1,377,0,0.8212737,"\int \frac{\cosh (c+d x)}{x^3 (a+b x)^3} \, dx","Int[Cosh[c + d*x]/(x^3*(a + b*x)^3),x]","\frac{6 b^2 \cosh (c) \text{Chi}(d x)}{a^5}-\frac{6 b^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^5}+\frac{6 b^2 \sinh (c) \text{Shi}(d x)}{a^5}-\frac{6 b^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^5}+\frac{3 b^2 \cosh (c+d x)}{a^4 (a+b x)}+\frac{b^2 \cosh (c+d x)}{2 a^3 (a+b x)^2}-\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a^3}-\frac{3 b d \sinh (c) \text{Chi}(d x)}{a^4}-\frac{3 b d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^4}-\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a^3}-\frac{3 b d \cosh (c) \text{Shi}(d x)}{a^4}-\frac{3 b d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{b d \sinh (c+d x)}{2 a^3 (a+b x)}+\frac{3 b \cosh (c+d x)}{a^4 x}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a^3}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a^3}-\frac{\cosh (c+d x)}{2 a^3 x^2}-\frac{d \sinh (c+d x)}{2 a^3 x}","\frac{6 b^2 \cosh (c) \text{Chi}(d x)}{a^5}-\frac{6 b^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^5}+\frac{6 b^2 \sinh (c) \text{Shi}(d x)}{a^5}-\frac{6 b^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^5}+\frac{3 b^2 \cosh (c+d x)}{a^4 (a+b x)}+\frac{b^2 \cosh (c+d x)}{2 a^3 (a+b x)^2}-\frac{d^2 \cosh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{2 a^3}-\frac{3 b d \sinh (c) \text{Chi}(d x)}{a^4}-\frac{3 b d \sinh \left(c-\frac{a d}{b}\right) \text{Chi}\left(x d+\frac{a d}{b}\right)}{a^4}-\frac{d^2 \sinh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{2 a^3}-\frac{3 b d \cosh (c) \text{Shi}(d x)}{a^4}-\frac{3 b d \cosh \left(c-\frac{a d}{b}\right) \text{Shi}\left(x d+\frac{a d}{b}\right)}{a^4}+\frac{b d \sinh (c+d x)}{2 a^3 (a+b x)}+\frac{3 b \cosh (c+d x)}{a^4 x}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a^3}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a^3}-\frac{\cosh (c+d x)}{2 a^3 x^2}-\frac{d \sinh (c+d x)}{2 a^3 x}",1,"-Cosh[c + d*x]/(2*a^3*x^2) + (3*b*Cosh[c + d*x])/(a^4*x) + (b^2*Cosh[c + d*x])/(2*a^3*(a + b*x)^2) + (3*b^2*Cosh[c + d*x])/(a^4*(a + b*x)) + (6*b^2*Cosh[c]*CoshIntegral[d*x])/a^5 + (d^2*Cosh[c]*CoshIntegral[d*x])/(2*a^3) - (6*b^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/a^5 - (d^2*Cosh[c - (a*d)/b]*CoshIntegral[(a*d)/b + d*x])/(2*a^3) - (3*b*d*CoshIntegral[d*x]*Sinh[c])/a^4 - (3*b*d*CoshIntegral[(a*d)/b + d*x]*Sinh[c - (a*d)/b])/a^4 - (d*Sinh[c + d*x])/(2*a^3*x) + (b*d*Sinh[c + d*x])/(2*a^3*(a + b*x)) - (3*b*d*Cosh[c]*SinhIntegral[d*x])/a^4 + (6*b^2*Sinh[c]*SinhIntegral[d*x])/a^5 + (d^2*Sinh[c]*SinhIntegral[d*x])/(2*a^3) - (3*b*d*Cosh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^4 - (6*b^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/a^5 - (d^2*Sinh[c - (a*d)/b]*SinhIntegral[(a*d)/b + d*x])/(2*a^3)","A",26,5,17,0.2941,1,"{6742, 3297, 3303, 3298, 3301}"
40,1,139,0,0.255416,"\int x^3 \left(a+b x^2\right) \cosh (c+d x) \, dx","Int[x^3*(a + b*x^2)*Cosh[c + d*x],x]","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{20 b x^3 \sinh (c+d x)}{d^3}-\frac{5 b x^4 \cosh (c+d x)}{d^2}-\frac{60 b x^2 \cosh (c+d x)}{d^4}+\frac{120 b x \sinh (c+d x)}{d^5}-\frac{120 b \cosh (c+d x)}{d^6}+\frac{b x^5 \sinh (c+d x)}{d}","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{20 b x^3 \sinh (c+d x)}{d^3}-\frac{5 b x^4 \cosh (c+d x)}{d^2}-\frac{60 b x^2 \cosh (c+d x)}{d^4}+\frac{120 b x \sinh (c+d x)}{d^5}-\frac{120 b \cosh (c+d x)}{d^6}+\frac{b x^5 \sinh (c+d x)}{d}",1,"(-120*b*Cosh[c + d*x])/d^6 - (6*a*Cosh[c + d*x])/d^4 - (60*b*x^2*Cosh[c + d*x])/d^4 - (3*a*x^2*Cosh[c + d*x])/d^2 - (5*b*x^4*Cosh[c + d*x])/d^2 + (120*b*x*Sinh[c + d*x])/d^5 + (6*a*x*Sinh[c + d*x])/d^3 + (20*b*x^3*Sinh[c + d*x])/d^3 + (a*x^3*Sinh[c + d*x])/d + (b*x^5*Sinh[c + d*x])/d","A",12,3,17,0.1765,1,"{5287, 3296, 2638}"
41,1,109,0,0.1874073,"\int x^2 \left(a+b x^2\right) \cosh (c+d x) \, dx","Int[x^2*(a + b*x^2)*Cosh[c + d*x],x]","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}",1,"(-24*b*x*Cosh[c + d*x])/d^4 - (2*a*x*Cosh[c + d*x])/d^2 - (4*b*x^3*Cosh[c + d*x])/d^2 + (24*b*Sinh[c + d*x])/d^5 + (2*a*Sinh[c + d*x])/d^3 + (12*b*x^2*Sinh[c + d*x])/d^3 + (a*x^2*Sinh[c + d*x])/d + (b*x^4*Sinh[c + d*x])/d","A",10,3,17,0.1765,1,"{5287, 3296, 2637}"
42,1,79,0,0.1210823,"\int x \left(a+b x^2\right) \cosh (c+d x) \, dx","Int[x*(a + b*x^2)*Cosh[c + d*x],x]","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}",1,"(-6*b*Cosh[c + d*x])/d^4 - (a*Cosh[c + d*x])/d^2 - (3*b*x^2*Cosh[c + d*x])/d^2 + (6*b*x*Sinh[c + d*x])/d^3 + (a*x*Sinh[c + d*x])/d + (b*x^3*Sinh[c + d*x])/d","A",8,3,15,0.2000,1,"{5287, 3296, 2638}"
43,1,51,0,0.0667648,"\int \left(a+b x^2\right) \cosh (c+d x) \, dx","Int[(a + b*x^2)*Cosh[c + d*x],x]","\frac{a \sinh (c+d x)}{d}+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}","\frac{a \sinh (c+d x)}{d}+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}",1,"(-2*b*x*Cosh[c + d*x])/d^2 + (2*b*Sinh[c + d*x])/d^3 + (a*Sinh[c + d*x])/d + (b*x^2*Sinh[c + d*x])/d","A",6,3,14,0.2143,1,"{5277, 2637, 3296}"
44,1,41,0,0.0980776,"\int \frac{\left(a+b x^2\right) \cosh (c+d x)}{x} \, dx","Int[((a + b*x^2)*Cosh[c + d*x])/x,x]","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{d^2}+\frac{b x \sinh (c+d x)}{d}","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{d^2}+\frac{b x \sinh (c+d x)}{d}",1,"-((b*Cosh[c + d*x])/d^2) + a*Cosh[c]*CoshIntegral[d*x] + (b*x*Sinh[c + d*x])/d + a*Sinh[c]*SinhIntegral[d*x]","A",7,6,17,0.3529,1,"{5287, 3303, 3298, 3301, 3296, 2638}"
45,1,42,0,0.1068468,"\int \frac{\left(a+b x^2\right) \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x^2)*Cosh[c + d*x])/x^2,x]","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}+\frac{b \sinh (c+d x)}{d}","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}+\frac{b \sinh (c+d x)}{d}",1,"-((a*Cosh[c + d*x])/x) + a*d*CoshIntegral[d*x]*Sinh[c] + (b*Sinh[c + d*x])/d + a*d*Cosh[c]*SinhIntegral[d*x]","A",7,6,17,0.3529,1,"{5287, 2637, 3297, 3303, 3298, 3301}"
46,1,74,0,0.1781314,"\int \frac{\left(a+b x^2\right) \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x^2)*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)",1,"-(a*Cosh[c + d*x])/(2*x^2) + b*Cosh[c]*CoshIntegral[d*x] + (a*d^2*Cosh[c]*CoshIntegral[d*x])/2 - (a*d*Sinh[c + d*x])/(2*x) + b*Sinh[c]*SinhIntegral[d*x] + (a*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",10,5,17,0.2941,1,"{5287, 3297, 3303, 3298, 3301}"
47,1,105,0,0.2339464,"\int \frac{\left(a+b x^2\right) \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x^2)*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+b d \sinh (c) \text{Chi}(d x)+b d \cosh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{x}","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+b d \sinh (c) \text{Chi}(d x)+b d \cosh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{x}",1,"-(a*Cosh[c + d*x])/(3*x^3) - (b*Cosh[c + d*x])/x - (a*d^2*Cosh[c + d*x])/(6*x) + b*d*CoshIntegral[d*x]*Sinh[c] + (a*d^3*CoshIntegral[d*x]*Sinh[c])/6 - (a*d*Sinh[c + d*x])/(6*x^2) + b*d*Cosh[c]*SinhIntegral[d*x] + (a*d^3*Cosh[c]*SinhIntegral[d*x])/6","A",12,5,17,0.2941,1,"{5287, 3297, 3303, 3298, 3301}"
48,1,149,0,0.2904352,"\int \frac{\left(a+b x^2\right) \cosh (c+d x)}{x^5} \, dx","Int[((a + b*x^2)*Cosh[c + d*x])/x^5,x]","\frac{1}{24} a d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a d^4 \sinh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{24 x^2}-\frac{a d^3 \sinh (c+d x)}{24 x}-\frac{a d \sinh (c+d x)}{12 x^3}-\frac{a \cosh (c+d x)}{4 x^4}+\frac{1}{2} b d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b d^2 \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{2 x^2}-\frac{b d \sinh (c+d x)}{2 x}","\frac{1}{24} a d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a d^4 \sinh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{24 x^2}-\frac{a d^3 \sinh (c+d x)}{24 x}-\frac{a d \sinh (c+d x)}{12 x^3}-\frac{a \cosh (c+d x)}{4 x^4}+\frac{1}{2} b d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} b d^2 \sinh (c) \text{Shi}(d x)-\frac{b \cosh (c+d x)}{2 x^2}-\frac{b d \sinh (c+d x)}{2 x}",1,"-(a*Cosh[c + d*x])/(4*x^4) - (b*Cosh[c + d*x])/(2*x^2) - (a*d^2*Cosh[c + d*x])/(24*x^2) + (b*d^2*Cosh[c]*CoshIntegral[d*x])/2 + (a*d^4*Cosh[c]*CoshIntegral[d*x])/24 - (a*d*Sinh[c + d*x])/(12*x^3) - (b*d*Sinh[c + d*x])/(2*x) - (a*d^3*Sinh[c + d*x])/(24*x) + (b*d^2*Sinh[c]*SinhIntegral[d*x])/2 + (a*d^4*Sinh[c]*SinhIntegral[d*x])/24","A",14,5,17,0.2941,1,"{5287, 3297, 3303, 3298, 3301}"
49,1,234,0,0.3882545,"\int x^2 \left(a+b x^2\right)^2 \cosh (c+d x) \, dx","Int[x^2*(a + b*x^2)^2*Cosh[c + d*x],x]","\frac{2 a^2 \sinh (c+d x)}{d^3}-\frac{2 a^2 x \cosh (c+d x)}{d^2}+\frac{a^2 x^2 \sinh (c+d x)}{d}+\frac{24 a b x^2 \sinh (c+d x)}{d^3}-\frac{8 a b x^3 \cosh (c+d x)}{d^2}+\frac{48 a b \sinh (c+d x)}{d^5}-\frac{48 a b x \cosh (c+d x)}{d^4}+\frac{2 a b x^4 \sinh (c+d x)}{d}+\frac{30 b^2 x^4 \sinh (c+d x)}{d^3}+\frac{360 b^2 x^2 \sinh (c+d x)}{d^5}-\frac{6 b^2 x^5 \cosh (c+d x)}{d^2}-\frac{120 b^2 x^3 \cosh (c+d x)}{d^4}+\frac{720 b^2 \sinh (c+d x)}{d^7}-\frac{720 b^2 x \cosh (c+d x)}{d^6}+\frac{b^2 x^6 \sinh (c+d x)}{d}","\frac{2 a^2 \sinh (c+d x)}{d^3}-\frac{2 a^2 x \cosh (c+d x)}{d^2}+\frac{a^2 x^2 \sinh (c+d x)}{d}+\frac{24 a b x^2 \sinh (c+d x)}{d^3}-\frac{8 a b x^3 \cosh (c+d x)}{d^2}+\frac{48 a b \sinh (c+d x)}{d^5}-\frac{48 a b x \cosh (c+d x)}{d^4}+\frac{2 a b x^4 \sinh (c+d x)}{d}+\frac{30 b^2 x^4 \sinh (c+d x)}{d^3}+\frac{360 b^2 x^2 \sinh (c+d x)}{d^5}-\frac{6 b^2 x^5 \cosh (c+d x)}{d^2}-\frac{120 b^2 x^3 \cosh (c+d x)}{d^4}+\frac{720 b^2 \sinh (c+d x)}{d^7}-\frac{720 b^2 x \cosh (c+d x)}{d^6}+\frac{b^2 x^6 \sinh (c+d x)}{d}",1,"(-720*b^2*x*Cosh[c + d*x])/d^6 - (48*a*b*x*Cosh[c + d*x])/d^4 - (2*a^2*x*Cosh[c + d*x])/d^2 - (120*b^2*x^3*Cosh[c + d*x])/d^4 - (8*a*b*x^3*Cosh[c + d*x])/d^2 - (6*b^2*x^5*Cosh[c + d*x])/d^2 + (720*b^2*Sinh[c + d*x])/d^7 + (48*a*b*Sinh[c + d*x])/d^5 + (2*a^2*Sinh[c + d*x])/d^3 + (360*b^2*x^2*Sinh[c + d*x])/d^5 + (24*a*b*x^2*Sinh[c + d*x])/d^3 + (a^2*x^2*Sinh[c + d*x])/d + (30*b^2*x^4*Sinh[c + d*x])/d^3 + (2*a*b*x^4*Sinh[c + d*x])/d + (b^2*x^6*Sinh[c + d*x])/d","A",17,3,19,0.1579,1,"{5287, 3296, 2637}"
50,1,184,0,0.2771301,"\int x \left(a+b x^2\right)^2 \cosh (c+d x) \, dx","Int[x*(a + b*x^2)^2*Cosh[c + d*x],x]","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{20 b^2 x^3 \sinh (c+d x)}{d^3}-\frac{5 b^2 x^4 \cosh (c+d x)}{d^2}-\frac{60 b^2 x^2 \cosh (c+d x)}{d^4}+\frac{120 b^2 x \sinh (c+d x)}{d^5}-\frac{120 b^2 \cosh (c+d x)}{d^6}+\frac{b^2 x^5 \sinh (c+d x)}{d}","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{20 b^2 x^3 \sinh (c+d x)}{d^3}-\frac{5 b^2 x^4 \cosh (c+d x)}{d^2}-\frac{60 b^2 x^2 \cosh (c+d x)}{d^4}+\frac{120 b^2 x \sinh (c+d x)}{d^5}-\frac{120 b^2 \cosh (c+d x)}{d^6}+\frac{b^2 x^5 \sinh (c+d x)}{d}",1,"(-120*b^2*Cosh[c + d*x])/d^6 - (12*a*b*Cosh[c + d*x])/d^4 - (a^2*Cosh[c + d*x])/d^2 - (60*b^2*x^2*Cosh[c + d*x])/d^4 - (6*a*b*x^2*Cosh[c + d*x])/d^2 - (5*b^2*x^4*Cosh[c + d*x])/d^2 + (120*b^2*x*Sinh[c + d*x])/d^5 + (12*a*b*x*Sinh[c + d*x])/d^3 + (a^2*x*Sinh[c + d*x])/d + (20*b^2*x^3*Sinh[c + d*x])/d^3 + (2*a*b*x^3*Sinh[c + d*x])/d + (b^2*x^5*Sinh[c + d*x])/d","A",14,3,17,0.1765,1,"{5287, 3296, 2638}"
51,1,136,0,0.1813904,"\int \left(a+b x^2\right)^2 \cosh (c+d x) \, dx","Int[(a + b*x^2)^2*Cosh[c + d*x],x]","\frac{a^2 \sinh (c+d x)}{d}+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}","\frac{a^2 \sinh (c+d x)}{d}+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}",1,"(-24*b^2*x*Cosh[c + d*x])/d^4 - (4*a*b*x*Cosh[c + d*x])/d^2 - (4*b^2*x^3*Cosh[c + d*x])/d^2 + (24*b^2*Sinh[c + d*x])/d^5 + (4*a*b*Sinh[c + d*x])/d^3 + (a^2*Sinh[c + d*x])/d + (12*b^2*x^2*Sinh[c + d*x])/d^3 + (2*a*b*x^2*Sinh[c + d*x])/d + (b^2*x^4*Sinh[c + d*x])/d","A",11,3,16,0.1875,1,"{5277, 2637, 3296}"
52,1,110,0,0.1888075,"\int \frac{\left(a+b x^2\right)^2 \cosh (c+d x)}{x} \, dx","Int[((a + b*x^2)^2*Cosh[c + d*x])/x,x]","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{d^2}+\frac{2 a b x \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{d^2}+\frac{2 a b x \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}",1,"(-6*b^2*Cosh[c + d*x])/d^4 - (2*a*b*Cosh[c + d*x])/d^2 - (3*b^2*x^2*Cosh[c + d*x])/d^2 + a^2*Cosh[c]*CoshIntegral[d*x] + (6*b^2*x*Sinh[c + d*x])/d^3 + (2*a*b*x*Sinh[c + d*x])/d + (b^2*x^3*Sinh[c + d*x])/d + a^2*Sinh[c]*SinhIntegral[d*x]","A",11,6,19,0.3158,1,"{5287, 3303, 3298, 3301, 3296, 2638}"
53,1,95,0,0.1765754,"\int \frac{\left(a+b x^2\right)^2 \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x^2)^2*Cosh[c + d*x])/x^2,x]","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}+\frac{2 a b \sinh (c+d x)}{d}+\frac{2 b^2 \sinh (c+d x)}{d^3}-\frac{2 b^2 x \cosh (c+d x)}{d^2}+\frac{b^2 x^2 \sinh (c+d x)}{d}","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}+\frac{2 a b \sinh (c+d x)}{d}+\frac{2 b^2 \sinh (c+d x)}{d^3}-\frac{2 b^2 x \cosh (c+d x)}{d^2}+\frac{b^2 x^2 \sinh (c+d x)}{d}",1,"-((a^2*Cosh[c + d*x])/x) - (2*b^2*x*Cosh[c + d*x])/d^2 + a^2*d*CoshIntegral[d*x]*Sinh[c] + (2*b^2*Sinh[c + d*x])/d^3 + (2*a*b*Sinh[c + d*x])/d + (b^2*x^2*Sinh[c + d*x])/d + a^2*d*Cosh[c]*SinhIntegral[d*x]","A",10,7,19,0.3684,1,"{5287, 2637, 3297, 3303, 3298, 3301, 3296}"
54,1,114,0,0.2250793,"\int \frac{\left(a+b x^2\right)^2 \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x^2)^2*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}",1,"-((b^2*Cosh[c + d*x])/d^2) - (a^2*Cosh[c + d*x])/(2*x^2) + 2*a*b*Cosh[c]*CoshIntegral[d*x] + (a^2*d^2*Cosh[c]*CoshIntegral[d*x])/2 - (a^2*d*Sinh[c + d*x])/(2*x) + (b^2*x*Sinh[c + d*x])/d + 2*a*b*Sinh[c]*SinhIntegral[d*x] + (a^2*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",12,7,19,0.3684,1,"{5287, 3297, 3303, 3298, 3301, 3296, 2638}"
55,1,133,0,0.2589158,"\int \frac{\left(a+b x^2\right)^2 \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x^2)^2*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}+\frac{b^2 \sinh (c+d x)}{d}","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}+\frac{b^2 \sinh (c+d x)}{d}",1,"-(a^2*Cosh[c + d*x])/(3*x^3) - (2*a*b*Cosh[c + d*x])/x - (a^2*d^2*Cosh[c + d*x])/(6*x) + 2*a*b*d*CoshIntegral[d*x]*Sinh[c] + (a^2*d^3*CoshIntegral[d*x]*Sinh[c])/6 + (b^2*Sinh[c + d*x])/d - (a^2*d*Sinh[c + d*x])/(6*x^2) + 2*a*b*d*Cosh[c]*SinhIntegral[d*x] + (a^2*d^3*Cosh[c]*SinhIntegral[d*x])/6","A",13,6,19,0.3158,1,"{5287, 2637, 3297, 3303, 3298, 3301}"
56,1,175,0,0.3595601,"\int \frac{\left(a+b x^2\right)^2 \cosh (c+d x)}{x^5} \, dx","Int[((a + b*x^2)^2*Cosh[c + d*x])/x^5,x]","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+a b d^2 \cosh (c) \text{Chi}(d x)+a b d^2 \sinh (c) \text{Shi}(d x)-\frac{a b \cosh (c+d x)}{x^2}-\frac{a b d \sinh (c+d x)}{x}+b^2 \cosh (c) \text{Chi}(d x)+b^2 \sinh (c) \text{Shi}(d x)","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+a b d^2 \cosh (c) \text{Chi}(d x)+a b d^2 \sinh (c) \text{Shi}(d x)-\frac{a b \cosh (c+d x)}{x^2}-\frac{a b d \sinh (c+d x)}{x}+b^2 \cosh (c) \text{Chi}(d x)+b^2 \sinh (c) \text{Shi}(d x)",1,"-(a^2*Cosh[c + d*x])/(4*x^4) - (a*b*Cosh[c + d*x])/x^2 - (a^2*d^2*Cosh[c + d*x])/(24*x^2) + b^2*Cosh[c]*CoshIntegral[d*x] + a*b*d^2*Cosh[c]*CoshIntegral[d*x] + (a^2*d^4*Cosh[c]*CoshIntegral[d*x])/24 - (a^2*d*Sinh[c + d*x])/(12*x^3) - (a*b*d*Sinh[c + d*x])/x - (a^2*d^3*Sinh[c + d*x])/(24*x) + b^2*Sinh[c]*SinhIntegral[d*x] + a*b*d^2*Sinh[c]*SinhIntegral[d*x] + (a^2*d^4*Sinh[c]*SinhIntegral[d*x])/24","A",17,5,19,0.2632,1,"{5287, 3297, 3303, 3298, 3301}"
57,1,273,0,0.7287188,"\int \frac{x^4 \cosh (c+d x)}{a+b x^2} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x^2),x]","\frac{(-a)^{3/2} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{5/2}}-\frac{a \sinh (c+d x)}{b^2 d}+\frac{2 \sinh (c+d x)}{b d^3}-\frac{2 x \cosh (c+d x)}{b d^2}+\frac{x^2 \sinh (c+d x)}{b d}","\frac{(-a)^{3/2} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{5/2}}-\frac{(-a)^{3/2} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{5/2}}-\frac{a \sinh (c+d x)}{b^2 d}+\frac{2 \sinh (c+d x)}{b d^3}-\frac{2 x \cosh (c+d x)}{b d^2}+\frac{x^2 \sinh (c+d x)}{b d}",1,"(-2*x*Cosh[c + d*x])/(b*d^2) + ((-a)^(3/2)*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^(5/2)) - ((-a)^(3/2)*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^(5/2)) + (2*Sinh[c + d*x])/(b*d^3) - (a*Sinh[c + d*x])/(b^2*d) + (x^2*Sinh[c + d*x])/(b*d) - ((-a)^(3/2)*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^(5/2)) - ((-a)^(3/2)*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^(5/2))","A",14,7,19,0.3684,1,"{5293, 2637, 3296, 5281, 3303, 3298, 3301}"
58,1,209,0,0.3582596,"\int \frac{x^3 \cosh (c+d x)}{a+b x^2} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^2),x]","-\frac{a \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}-\frac{a \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}+\frac{a \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}-\frac{a \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}","-\frac{a \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}-\frac{a \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}+\frac{a \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}-\frac{a \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}",1,"-(Cosh[c + d*x]/(b*d^2)) - (a*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^2) - (a*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^2) + (x*Sinh[c + d*x])/(b*d) + (a*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^2) - (a*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^2)","A",12,6,19,0.3158,1,"{5293, 3296, 2638, 3303, 3298, 3301}"
59,1,226,0,0.3758521,"\int \frac{x^2 \cosh (c+d x)}{a+b x^2} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^2),x]","\frac{\sqrt{-a} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{3/2}}+\frac{\sinh (c+d x)}{b d}","\frac{\sqrt{-a} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^{3/2}}-\frac{\sqrt{-a} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^{3/2}}+\frac{\sinh (c+d x)}{b d}",1,"(Sqrt[-a]*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^(3/2)) - (Sqrt[-a]*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^(3/2)) + Sinh[c + d*x]/(b*d) - (Sqrt[-a]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^(3/2)) - (Sqrt[-a]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^(3/2))","A",11,6,19,0.3158,1,"{5293, 2637, 5281, 3303, 3298, 3301}"
60,1,177,0,0.254037,"\int \frac{x \cosh (c+d x)}{a+b x^2} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^2),x]","\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b}","\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b}",1,"(Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b) + (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b) - (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b) + (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b)","A",8,4,17,0.2353,1,"{5293, 3303, 3298, 3301}"
61,1,213,0,0.2586958,"\int \frac{\cosh (c+d x)}{a+b x^2} \, dx","Int[Cosh[c + d*x]/(a + b*x^2),x]","\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 \sqrt{-a} \sqrt{b}}","\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 \sqrt{-a} \sqrt{b}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 \sqrt{-a} \sqrt{b}}",1,"(Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*Sqrt[-a]*Sqrt[b]) - (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*Sqrt[-a]*Sqrt[b]) - (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*Sqrt[-a]*Sqrt[b]) - (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*Sqrt[-a]*Sqrt[b])","A",8,4,16,0.2500,1,"{5281, 3303, 3298, 3301}"
62,1,197,0,0.3723471,"\int \frac{\cosh (c+d x)}{x \left(a+b x^2\right)} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x^2)),x]","-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}","-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}",1,"(Cosh[c]*CoshIntegral[d*x])/a - (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a) - (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a) + (Sinh[c]*SinhIntegral[d*x])/a + (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a) - (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a)","A",13,4,19,0.2105,1,"{5293, 3303, 3298, 3301}"
63,1,249,0,0.4958226,"\int \frac{\cosh (c+d x)}{x^2 \left(a+b x^2\right)} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x^2)),x]","\frac{\sqrt{b} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 (-a)^{3/2}}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}","\frac{\sqrt{b} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 (-a)^{3/2}}-\frac{\sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 (-a)^{3/2}}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}",1,"-(Cosh[c + d*x]/(a*x)) + (Sqrt[b]*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*(-a)^(3/2)) - (Sqrt[b]*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*(-a)^(3/2)) + (d*CoshIntegral[d*x]*Sinh[c])/a + (d*Cosh[c]*SinhIntegral[d*x])/a - (Sqrt[b]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*(-a)^(3/2)) - (Sqrt[b]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*(-a)^(3/2))","A",14,6,19,0.3158,1,"{5293, 3297, 3303, 3298, 3301, 5281}"
64,1,270,0,0.5042068,"\int \frac{\cosh (c+d x)}{x^3 \left(a+b x^2\right)} \, dx","Int[Cosh[c + d*x]/(x^3*(a + b*x^2)),x]","-\frac{b \cosh (c) \text{Chi}(d x)}{a^2}+\frac{b \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}+\frac{b \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}-\frac{b \sinh (c) \text{Shi}(d x)}{a^2}-\frac{b \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}+\frac{b \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}","-\frac{b \cosh (c) \text{Chi}(d x)}{a^2}+\frac{b \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}+\frac{b \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}-\frac{b \sinh (c) \text{Shi}(d x)}{a^2}-\frac{b \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}+\frac{b \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}",1,"-Cosh[c + d*x]/(2*a*x^2) - (b*Cosh[c]*CoshIntegral[d*x])/a^2 + (d^2*Cosh[c]*CoshIntegral[d*x])/(2*a) + (b*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^2) + (b*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^2) - (d*Sinh[c + d*x])/(2*a*x) - (b*Sinh[c]*SinhIntegral[d*x])/a^2 + (d^2*Sinh[c]*SinhIntegral[d*x])/(2*a) - (b*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^2) + (b*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^2)","A",18,5,19,0.2632,1,"{5293, 3297, 3303, 3298, 3301}"
65,1,449,0,0.8594644,"\int \frac{x^4 \cosh (c+d x)}{\left(a+b x^2\right)^2} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x^2)^2,x]","-\frac{a d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^3}-\frac{a d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^3}+\frac{3 \sqrt{-a} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}+\frac{a d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^3}-\frac{a d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^3}-\frac{x^3 \cosh (c+d x)}{2 b \left(a+b x^2\right)}+\frac{\sinh (c+d x)}{b^2 d}+\frac{x \cosh (c+d x)}{2 b^2}","-\frac{a d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^3}-\frac{a d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^3}+\frac{3 \sqrt{-a} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{3 \sqrt{-a} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}+\frac{a d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^3}-\frac{a d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^3}-\frac{x^3 \cosh (c+d x)}{2 b \left(a+b x^2\right)}+\frac{\sinh (c+d x)}{b^2 d}+\frac{x \cosh (c+d x)}{2 b^2}",1,"(x*Cosh[c + d*x])/(2*b^2) - (x^3*Cosh[c + d*x])/(2*b*(a + b*x^2)) + (3*Sqrt[-a]*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*b^(5/2)) - (3*Sqrt[-a]*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*b^(5/2)) - (a*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*b^3) - (a*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*b^3) + Sinh[c + d*x]/(b^2*d) + (a*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*b^3) - (3*Sqrt[-a]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*b^(5/2)) - (a*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*b^3) - (3*Sqrt[-a]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*b^(5/2))","A",24,9,19,0.4737,1,"{5291, 5293, 2637, 5281, 3303, 3298, 3301, 5292, 3296}"
66,1,431,0,0.7006806,"\int \frac{x^3 \cosh (c+d x)}{\left(a+b x^2\right)^2} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^2)^2,x]","-\frac{\sqrt{-a} d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}+\frac{\sqrt{-a} d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}+\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\sqrt{-a} d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{\sqrt{-a} d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}-\frac{x^2 \cosh (c+d x)}{2 b \left(a+b x^2\right)}+\frac{\cosh (c+d x)}{2 b^2}","-\frac{\sqrt{-a} d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}+\frac{\sqrt{-a} d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}+\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 b^2}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 b^2}-\frac{\sqrt{-a} d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^{5/2}}-\frac{\sqrt{-a} d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^{5/2}}-\frac{x^2 \cosh (c+d x)}{2 b \left(a+b x^2\right)}+\frac{\cosh (c+d x)}{2 b^2}",1,"Cosh[c + d*x]/(2*b^2) - (x^2*Cosh[c + d*x])/(2*b*(a + b*x^2)) + (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^2) + (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^2) - (Sqrt[-a]*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*b^(5/2)) + (Sqrt[-a]*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*b^(5/2)) - (Sqrt[-a]*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*b^(5/2)) - (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*b^2) - (Sqrt[-a]*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*b^(5/2)) + (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*b^2)","A",20,8,19,0.4211,1,"{5291, 5293, 3303, 3298, 3301, 5292, 2638, 5280}"
67,1,416,0,0.6113129,"\int \frac{x^2 \cosh (c+d x)}{\left(a+b x^2\right)^2} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^2)^2,x]","\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^2}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^2}+\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^2}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^2}-\frac{x \cosh (c+d x)}{2 b \left(a+b x^2\right)}","\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^2}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^2}+\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 b^2}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 b^2}-\frac{x \cosh (c+d x)}{2 b \left(a+b x^2\right)}",1,"-(x*Cosh[c + d*x])/(2*b*(a + b*x^2)) + (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*Sqrt[-a]*b^(3/2)) - (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*Sqrt[-a]*b^(3/2)) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*b^2) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*b^2) - (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*b^2) - (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*Sqrt[-a]*b^(3/2)) + (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*b^2) - (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*Sqrt[-a]*b^(3/2))","A",17,6,19,0.3158,1,"{5291, 5281, 3303, 3298, 3301, 5292}"
68,1,239,0,0.3254307,"\int \frac{x \cosh (c+d x)}{\left(a+b x^2\right)^2} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^2)^2,x]","-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\cosh (c+d x)}{2 b \left(a+b x^2\right)}","-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 \sqrt{-a} b^{3/2}}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 \sqrt{-a} b^{3/2}}-\frac{\cosh (c+d x)}{2 b \left(a+b x^2\right)}",1,"-Cosh[c + d*x]/(2*b*(a + b*x^2)) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*Sqrt[-a]*b^(3/2)) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*Sqrt[-a]*b^(3/2)) - (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*Sqrt[-a]*b^(3/2)) - (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*Sqrt[-a]*b^(3/2))","A",9,5,17,0.2941,1,"{5289, 5280, 3303, 3298, 3301}"
69,1,476,0,0.8178276,"\int \frac{\cosh (c+d x)}{\left(a+b x^2\right)^2} \, dx","Int[Cosh[c + d*x]/(a + b*x^2)^2,x]","-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a b}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a b}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a b}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a b}-\frac{\cosh (c+d x)}{4 a \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\cosh (c+d x)}{4 a \sqrt{b} \left(\sqrt{-a}+\sqrt{b} x\right)}","-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a b}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a b}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a b}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a b}-\frac{\cosh (c+d x)}{4 a \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\cosh (c+d x)}{4 a \sqrt{b} \left(\sqrt{-a}+\sqrt{b} x\right)}",1,"-Cosh[c + d*x]/(4*a*Sqrt[b]*(Sqrt[-a] - Sqrt[b]*x)) + Cosh[c + d*x]/(4*a*Sqrt[b]*(Sqrt[-a] + Sqrt[b]*x)) - (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*(-a)^(3/2)*Sqrt[b]) + (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*(-a)^(3/2)*Sqrt[b]) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*a*b) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*a*b) + (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*a*b) + (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*(-a)^(3/2)*Sqrt[b]) - (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*a*b) + (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*(-a)^(3/2)*Sqrt[b])","A",18,5,16,0.3125,1,"{5281, 3297, 3303, 3298, 3301}"
70,1,435,0,0.8390293,"\int \frac{\cosh (c+d x)}{x \left(a+b x^2\right)^2} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x^2)^2),x]","-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\cosh (c+d x)}{2 a \left(a+b x^2\right)}","-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^2}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^2}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{3/2} \sqrt{b}}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{3/2} \sqrt{b}}+\frac{\cosh (c+d x)}{2 a \left(a+b x^2\right)}",1,"Cosh[c + d*x]/(2*a*(a + b*x^2)) + (Cosh[c]*CoshIntegral[d*x])/a^2 - (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^2) - (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^2) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*(-a)^(3/2)*Sqrt[b]) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*(-a)^(3/2)*Sqrt[b]) + (Sinh[c]*SinhIntegral[d*x])/a^2 - (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*(-a)^(3/2)*Sqrt[b]) + (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^2) - (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*(-a)^(3/2)*Sqrt[b]) - (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^2)","A",22,6,19,0.3158,1,"{5293, 3303, 3298, 3301, 5289, 5280}"
71,1,500,0,1.2531681,"\int \frac{\cosh (c+d x)}{x^2 \left(a+b x^2\right)^2} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x^2)^2),x]","\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a^2}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a^2}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a^2}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a^2}+\frac{\sqrt{b} \cosh (c+d x)}{4 a^2 \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{\sqrt{b} \cosh (c+d x)}{4 a^2 \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{d \sinh (c) \text{Chi}(d x)}{a^2}+\frac{d \cosh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{a^2 x}-\frac{3 \sqrt{b} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{5/2}}","\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a^2}+\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a^2}-\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 a^2}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 a^2}+\frac{\sqrt{b} \cosh (c+d x)}{4 a^2 \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{\sqrt{b} \cosh (c+d x)}{4 a^2 \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{d \sinh (c) \text{Chi}(d x)}{a^2}+\frac{d \cosh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{a^2 x}-\frac{3 \sqrt{b} \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{4 (-a)^{5/2}}+\frac{3 \sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{4 (-a)^{5/2}}",1,"-(Cosh[c + d*x]/(a^2*x)) + (Sqrt[b]*Cosh[c + d*x])/(4*a^2*(Sqrt[-a] - Sqrt[b]*x)) - (Sqrt[b]*Cosh[c + d*x])/(4*a^2*(Sqrt[-a] + Sqrt[b]*x)) - (3*Sqrt[b]*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*(-a)^(5/2)) + (3*Sqrt[b]*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*(-a)^(5/2)) + (d*CoshIntegral[d*x]*Sinh[c])/a^2 + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(4*a^2) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(4*a^2) + (d*Cosh[c]*SinhIntegral[d*x])/a^2 - (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*a^2) + (3*Sqrt[b]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(4*(-a)^(5/2)) + (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*a^2) + (3*Sqrt[b]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(4*(-a)^(5/2))","A",32,6,19,0.3158,1,"{5293, 3297, 3303, 3298, 3301, 5281}"
72,1,476,0,1.061514,"\int \frac{x^3 \cosh (c+d x)}{\left(a+b x^2\right)^3} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^2)^3,x]","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 b^3}+\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 b^3}-\frac{3 d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}+\frac{3 d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 b^3}+\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 b^3}-\frac{3 d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{3 d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d x \sinh (c+d x)}{8 b^2 \left(a+b x^2\right)}-\frac{\cosh (c+d x)}{4 b^2 \left(a+b x^2\right)}-\frac{x^2 \cosh (c+d x)}{4 b \left(a+b x^2\right)^2}","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 b^3}+\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 b^3}-\frac{3 d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}+\frac{3 d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 b^3}+\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 b^3}-\frac{3 d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{3 d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d x \sinh (c+d x)}{8 b^2 \left(a+b x^2\right)}-\frac{\cosh (c+d x)}{4 b^2 \left(a+b x^2\right)}-\frac{x^2 \cosh (c+d x)}{4 b \left(a+b x^2\right)^2}",1,"-(x^2*Cosh[c + d*x])/(4*b*(a + b*x^2)^2) - Cosh[c + d*x]/(4*b^2*(a + b*x^2)) + (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*b^3) + (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*b^3) - (3*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*Sqrt[-a]*b^(5/2)) + (3*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*Sqrt[-a]*b^(5/2)) - (d*x*Sinh[c + d*x])/(8*b^2*(a + b*x^2)) - (3*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*Sqrt[-a]*b^(5/2)) - (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*b^3) - (3*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*Sqrt[-a]*b^(5/2)) + (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*b^3)","A",27,8,19,0.4211,1,"{5291, 5289, 5280, 3303, 3298, 3301, 5290, 5293}"
73,1,746,0,1.100069,"\int \frac{x^2 \cosh (c+d x)}{\left(a+b x^2\right)^3} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^2)^3,x]","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}-\frac{d \sinh (c+d x)}{8 b^2 \left(a+b x^2\right)}-\frac{\cosh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\cosh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}+\sqrt{b} x\right)}-\frac{x \cosh (c+d x)}{4 b \left(a+b x^2\right)^2}","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 \sqrt{-a} b^{5/2}}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 \sqrt{-a} b^{5/2}}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}-\frac{d \sinh (c+d x)}{8 b^2 \left(a+b x^2\right)}-\frac{\cosh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\cosh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}+\sqrt{b} x\right)}-\frac{x \cosh (c+d x)}{4 b \left(a+b x^2\right)^2}",1,"-Cosh[c + d*x]/(16*a*b^(3/2)*(Sqrt[-a] - Sqrt[b]*x)) + Cosh[c + d*x]/(16*a*b^(3/2)*(Sqrt[-a] + Sqrt[b]*x)) - (x*Cosh[c + d*x])/(4*b*(a + b*x^2)^2) - (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(3/2)*b^(3/2)) + (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*Sqrt[-a]*b^(5/2)) + (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(3/2)*b^(3/2)) - (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*Sqrt[-a]*b^(5/2)) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*a*b^2) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*a*b^2) - (d*Sinh[c + d*x])/(8*b^2*(a + b*x^2)) + (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a*b^2) + (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(3/2)*b^(3/2)) - (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*Sqrt[-a]*b^(5/2)) - (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a*b^2) + (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(3/2)*b^(3/2)) - (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*Sqrt[-a]*b^(5/2))","A",28,7,19,0.3684,1,"{5291, 5281, 3297, 3303, 3298, 3301, 5288}"
74,1,512,0,0.831389,"\int \frac{x \cosh (c+d x)}{\left(a+b x^2\right)^3} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^2)^3,x]","-\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}+\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d \sinh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{d \sinh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}+\sqrt{b} x\right)}-\frac{\cosh (c+d x)}{4 b \left(a+b x^2\right)^2}","-\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}+\frac{d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a b^2}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a b^2}+\frac{d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{3/2} b^{3/2}}+\frac{d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{3/2} b^{3/2}}-\frac{d \sinh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{d \sinh (c+d x)}{16 a b^{3/2} \left(\sqrt{-a}+\sqrt{b} x\right)}-\frac{\cosh (c+d x)}{4 b \left(a+b x^2\right)^2}",1,"-Cosh[c + d*x]/(4*b*(a + b*x^2)^2) - (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a*b^2) - (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a*b^2) + (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(3/2)*b^(3/2)) - (d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(3/2)*b^(3/2)) - (d*Sinh[c + d*x])/(16*a*b^(3/2)*(Sqrt[-a] - Sqrt[b]*x)) + (d*Sinh[c + d*x])/(16*a*b^(3/2)*(Sqrt[-a] + Sqrt[b]*x)) + (d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(3/2)*b^(3/2)) + (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a*b^2) + (d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(3/2)*b^(3/2)) - (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a*b^2)","A",19,6,17,0.3529,1,"{5289, 5280, 3297, 3303, 3298, 3301}"
75,1,856,0,1.2552318,"\int \frac{\cosh (c+d x)}{\left(a+b x^2\right)^3} \, dx","Int[Cosh[c + d*x]/(a + b*x^2)^3,x]","\frac{\cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{3 \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}-\frac{3 \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}+\frac{\sinh (c+d x) d}{16 (-a)^{3/2} b \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sinh (c+d x) d}{16 (-a)^{3/2} b \left(\sqrt{b} x+\sqrt{-a}\right)}+\frac{3 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d}{16 a^2 b}-\frac{3 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}-\frac{3 \cosh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{3 \cosh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{b} x+\sqrt{-a}\right)}-\frac{\cosh (c+d x)}{16 (-a)^{3/2} \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)^2}+\frac{\cosh (c+d x)}{16 (-a)^{3/2} \sqrt{b} \left(\sqrt{b} x+\sqrt{-a}\right)^2}+\frac{3 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}","\frac{\cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{3/2} b^{3/2}}-\frac{3 \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}-\frac{3 \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}+\frac{\sinh (c+d x) d}{16 (-a)^{3/2} b \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sinh (c+d x) d}{16 (-a)^{3/2} b \left(\sqrt{b} x+\sqrt{-a}\right)}+\frac{3 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d}{16 a^2 b}-\frac{3 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^2 b}-\frac{3 \cosh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{3 \cosh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{b} x+\sqrt{-a}\right)}-\frac{\cosh (c+d x)}{16 (-a)^{3/2} \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)^2}+\frac{\cosh (c+d x)}{16 (-a)^{3/2} \sqrt{b} \left(\sqrt{b} x+\sqrt{-a}\right)^2}+\frac{3 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{3 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}",1,"-Cosh[c + d*x]/(16*(-a)^(3/2)*Sqrt[b]*(Sqrt[-a] - Sqrt[b]*x)^2) - (3*Cosh[c + d*x])/(16*a^2*Sqrt[b]*(Sqrt[-a] - Sqrt[b]*x)) + Cosh[c + d*x]/(16*(-a)^(3/2)*Sqrt[b]*(Sqrt[-a] + Sqrt[b]*x)^2) + (3*Cosh[c + d*x])/(16*a^2*Sqrt[b]*(Sqrt[-a] + Sqrt[b]*x)) + (3*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(5/2)*Sqrt[b]) + (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(3/2)*b^(3/2)) - (3*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(5/2)*Sqrt[b]) - (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(3/2)*b^(3/2)) - (3*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*a^2*b) - (3*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*a^2*b) + (d*Sinh[c + d*x])/(16*(-a)^(3/2)*b*(Sqrt[-a] - Sqrt[b]*x)) + (d*Sinh[c + d*x])/(16*(-a)^(3/2)*b*(Sqrt[-a] + Sqrt[b]*x)) + (3*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^2*b) - (3*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(5/2)*Sqrt[b]) - (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(3/2)*b^(3/2)) - (3*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^2*b) - (3*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(5/2)*Sqrt[b]) - (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(3/2)*b^(3/2))","A",28,5,16,0.3125,1,"{5281, 3297, 3303, 3298, 3301}"
76,1,730,0,1.6818308,"\int \frac{\cosh (c+d x)}{x \left(a+b x^2\right)^3} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x^2)^3),x]","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^2 b}+\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^2 b}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^3}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^3}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^2 b}+\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^2 b}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^3}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^3}+\frac{\cosh (c+d x)}{2 a^2 \left(a+b x^2\right)}+\frac{d \sinh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{d \sinh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{\cosh (c) \text{Chi}(d x)}{a^3}+\frac{\sinh (c) \text{Shi}(d x)}{a^3}+\frac{5 d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{5 d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{5 d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{5 d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{\cosh (c+d x)}{4 a \left(a+b x^2\right)^2}","\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^2 b}+\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^2 b}-\frac{\cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^3}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^3}-\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^2 b}+\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^2 b}+\frac{\sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^3}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^3}+\frac{\cosh (c+d x)}{2 a^2 \left(a+b x^2\right)}+\frac{d \sinh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{d \sinh (c+d x)}{16 a^2 \sqrt{b} \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{\cosh (c) \text{Chi}(d x)}{a^3}+\frac{\sinh (c) \text{Shi}(d x)}{a^3}+\frac{5 d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}-\frac{5 d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{5 d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{5 d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{5/2} \sqrt{b}}+\frac{\cosh (c+d x)}{4 a \left(a+b x^2\right)^2}",1,"Cosh[c + d*x]/(4*a*(a + b*x^2)^2) + Cosh[c + d*x]/(2*a^2*(a + b*x^2)) + (Cosh[c]*CoshIntegral[d*x])/a^3 - (Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^3) + (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^2*b) - (Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^3) + (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^2*b) + (5*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(5/2)*Sqrt[b]) - (5*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(5/2)*Sqrt[b]) + (d*Sinh[c + d*x])/(16*a^2*Sqrt[b]*(Sqrt[-a] - Sqrt[b]*x)) - (d*Sinh[c + d*x])/(16*a^2*Sqrt[b]*(Sqrt[-a] + Sqrt[b]*x)) + (Sinh[c]*SinhIntegral[d*x])/a^3 + (5*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(5/2)*Sqrt[b]) + (Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^3) - (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^2*b) + (5*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(5/2)*Sqrt[b]) - (Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^3) + (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^2*b)","A",41,7,19,0.3684,1,"{5293, 3303, 3298, 3301, 5289, 5280, 3297}"
77,1,874,0,2.6891713,"\int \frac{\cosh (c+d x)}{x^2 \left(a+b x^2\right)^3} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x^2)^3),x]","\frac{\cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{5/2} \sqrt{b}}+\frac{\text{Chi}(d x) \sinh (c) d}{a^3}+\frac{7 \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}+\frac{7 \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}+\frac{\sinh (c+d x) d}{16 (-a)^{5/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sinh (c+d x) d}{16 (-a)^{5/2} \left(\sqrt{b} x+\sqrt{-a}\right)}+\frac{\cosh (c) \text{Shi}(d x) d}{a^3}-\frac{7 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d}{16 a^3}+\frac{7 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}-\frac{\cosh (c+d x)}{a^3 x}+\frac{7 \sqrt{b} \cosh (c+d x)}{16 a^3 \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{7 \sqrt{b} \cosh (c+d x)}{16 a^3 \left(\sqrt{b} x+\sqrt{-a}\right)}-\frac{\sqrt{b} \cosh (c+d x)}{16 (-a)^{5/2} \left(\sqrt{-a}-\sqrt{b} x\right)^2}+\frac{\sqrt{b} \cosh (c+d x)}{16 (-a)^{5/2} \left(\sqrt{b} x+\sqrt{-a}\right)^2}+\frac{15 \sqrt{b} \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}","\frac{\cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d^2}{16 (-a)^{5/2} \sqrt{b}}-\frac{\sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d^2}{16 (-a)^{5/2} \sqrt{b}}+\frac{\text{Chi}(d x) \sinh (c) d}{a^3}+\frac{7 \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}+\frac{7 \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}+\frac{\sinh (c+d x) d}{16 (-a)^{5/2} \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sinh (c+d x) d}{16 (-a)^{5/2} \left(\sqrt{b} x+\sqrt{-a}\right)}+\frac{\cosh (c) \text{Shi}(d x) d}{a^3}-\frac{7 \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right) d}{16 a^3}+\frac{7 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right) d}{16 a^3}-\frac{\cosh (c+d x)}{a^3 x}+\frac{7 \sqrt{b} \cosh (c+d x)}{16 a^3 \left(\sqrt{-a}-\sqrt{b} x\right)}-\frac{7 \sqrt{b} \cosh (c+d x)}{16 a^3 \left(\sqrt{b} x+\sqrt{-a}\right)}-\frac{\sqrt{b} \cosh (c+d x)}{16 (-a)^{5/2} \left(\sqrt{-a}-\sqrt{b} x\right)^2}+\frac{\sqrt{b} \cosh (c+d x)}{16 (-a)^{5/2} \left(\sqrt{b} x+\sqrt{-a}\right)^2}+\frac{15 \sqrt{b} \cosh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \sinh \left(c+\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}-\frac{15 \sqrt{b} \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}",1,"-(Cosh[c + d*x]/(a^3*x)) - (Sqrt[b]*Cosh[c + d*x])/(16*(-a)^(5/2)*(Sqrt[-a] - Sqrt[b]*x)^2) + (7*Sqrt[b]*Cosh[c + d*x])/(16*a^3*(Sqrt[-a] - Sqrt[b]*x)) + (Sqrt[b]*Cosh[c + d*x])/(16*(-a)^(5/2)*(Sqrt[-a] + Sqrt[b]*x)^2) - (7*Sqrt[b]*Cosh[c + d*x])/(16*a^3*(Sqrt[-a] + Sqrt[b]*x)) + (15*Sqrt[b]*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(7/2)) + (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(5/2)*Sqrt[b]) - (15*Sqrt[b]*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(7/2)) - (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(5/2)*Sqrt[b]) + (d*CoshIntegral[d*x]*Sinh[c])/a^3 + (7*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*a^3) + (7*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*a^3) + (d*Sinh[c + d*x])/(16*(-a)^(5/2)*(Sqrt[-a] - Sqrt[b]*x)) + (d*Sinh[c + d*x])/(16*(-a)^(5/2)*(Sqrt[-a] + Sqrt[b]*x)) + (d*Cosh[c]*SinhIntegral[d*x])/a^3 - (7*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^3) - (15*Sqrt[b]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(7/2)) - (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(5/2)*Sqrt[b]) + (7*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^3) - (15*Sqrt[b]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(7/2)) - (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(5/2)*Sqrt[b])","A",60,6,19,0.3158,1,"{5293, 3297, 3303, 3298, 3301, 5281}"
78,1,791,0,1.8684094,"\int \frac{\cosh (c+d x)}{x^3 \left(a+b x^2\right)^3} \, dx","Int[Cosh[c + d*x]/(x^3*(a + b*x^2)^3),x]","-\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^3}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^3}-\frac{3 b \cosh (c) \text{Chi}(d x)}{a^4}+\frac{3 b \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^4}+\frac{3 b \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^4}+\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^3}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^3}-\frac{3 b \sinh (c) \text{Shi}(d x)}{a^4}-\frac{3 b \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^4}+\frac{3 b \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^4}-\frac{b \cosh (c+d x)}{a^3 \left(a+b x^2\right)}-\frac{b \cosh (c+d x)}{4 a^2 \left(a+b x^2\right)^2}-\frac{\sqrt{b} d \sinh (c+d x)}{16 a^3 \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sqrt{b} d \sinh (c+d x)}{16 a^3 \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a^3}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a^3}-\frac{\cosh (c+d x)}{2 a^3 x^2}-\frac{d \sinh (c+d x)}{2 a^3 x}+\frac{9 \sqrt{b} d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}-\frac{9 \sqrt{b} d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}+\frac{9 \sqrt{b} d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}+\frac{9 \sqrt{b} d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}","-\frac{d^2 \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^3}-\frac{d^2 \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^3}-\frac{3 b \cosh (c) \text{Chi}(d x)}{a^4}+\frac{3 b \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^4}+\frac{3 b \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^4}+\frac{d^2 \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 a^3}-\frac{d^2 \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 a^3}-\frac{3 b \sinh (c) \text{Shi}(d x)}{a^4}-\frac{3 b \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{2 a^4}+\frac{3 b \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{2 a^4}-\frac{b \cosh (c+d x)}{a^3 \left(a+b x^2\right)}-\frac{b \cosh (c+d x)}{4 a^2 \left(a+b x^2\right)^2}-\frac{\sqrt{b} d \sinh (c+d x)}{16 a^3 \left(\sqrt{-a}-\sqrt{b} x\right)}+\frac{\sqrt{b} d \sinh (c+d x)}{16 a^3 \left(\sqrt{-a}+\sqrt{b} x\right)}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a^3}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a^3}-\frac{\cosh (c+d x)}{2 a^3 x^2}-\frac{d \sinh (c+d x)}{2 a^3 x}+\frac{9 \sqrt{b} d \sinh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Chi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}-\frac{9 \sqrt{b} d \sinh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Chi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}+\frac{9 \sqrt{b} d \cosh \left(\frac{\sqrt{-a} d}{\sqrt{b}}+c\right) \text{Shi}\left(\frac{\sqrt{-a} d}{\sqrt{b}}-d x\right)}{16 (-a)^{7/2}}+\frac{9 \sqrt{b} d \cosh \left(c-\frac{\sqrt{-a} d}{\sqrt{b}}\right) \text{Shi}\left(x d+\frac{\sqrt{-a} d}{\sqrt{b}}\right)}{16 (-a)^{7/2}}",1,"-Cosh[c + d*x]/(2*a^3*x^2) - (b*Cosh[c + d*x])/(4*a^2*(a + b*x^2)^2) - (b*Cosh[c + d*x])/(a^3*(a + b*x^2)) - (3*b*Cosh[c]*CoshIntegral[d*x])/a^4 + (d^2*Cosh[c]*CoshIntegral[d*x])/(2*a^3) + (3*b*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^4) - (d^2*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^3) + (3*b*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^4) - (d^2*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^3) + (9*Sqrt[b]*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x]*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(7/2)) - (9*Sqrt[b]*d*CoshIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x]*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]])/(16*(-a)^(7/2)) - (d*Sinh[c + d*x])/(2*a^3*x) - (Sqrt[b]*d*Sinh[c + d*x])/(16*a^3*(Sqrt[-a] - Sqrt[b]*x)) + (Sqrt[b]*d*Sinh[c + d*x])/(16*a^3*(Sqrt[-a] + Sqrt[b]*x)) - (3*b*Sinh[c]*SinhIntegral[d*x])/a^4 + (d^2*Sinh[c]*SinhIntegral[d*x])/(2*a^3) + (9*Sqrt[b]*d*Cosh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*(-a)^(7/2)) - (3*b*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(2*a^4) + (d^2*Sinh[c + (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] - d*x])/(16*a^3) + (9*Sqrt[b]*d*Cosh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*(-a)^(7/2)) + (3*b*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(2*a^4) - (d^2*Sinh[c - (Sqrt[-a]*d)/Sqrt[b]]*SinhIntegral[(Sqrt[-a]*d)/Sqrt[b] + d*x])/(16*a^3)","A",46,7,19,0.3684,1,"{5293, 3297, 3303, 3298, 3301, 5289, 5280}"
79,1,154,0,0.2971228,"\int x^3 \left(a+b x^3\right) \cosh (c+d x) \, dx","Int[x^3*(a + b*x^3)*Cosh[c + d*x],x]","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{30 b x^4 \sinh (c+d x)}{d^3}+\frac{360 b x^2 \sinh (c+d x)}{d^5}-\frac{6 b x^5 \cosh (c+d x)}{d^2}-\frac{120 b x^3 \cosh (c+d x)}{d^4}+\frac{720 b \sinh (c+d x)}{d^7}-\frac{720 b x \cosh (c+d x)}{d^6}+\frac{b x^6 \sinh (c+d x)}{d}","-\frac{3 a x^2 \cosh (c+d x)}{d^2}+\frac{6 a x \sinh (c+d x)}{d^3}-\frac{6 a \cosh (c+d x)}{d^4}+\frac{a x^3 \sinh (c+d x)}{d}+\frac{30 b x^4 \sinh (c+d x)}{d^3}+\frac{360 b x^2 \sinh (c+d x)}{d^5}-\frac{6 b x^5 \cosh (c+d x)}{d^2}-\frac{120 b x^3 \cosh (c+d x)}{d^4}+\frac{720 b \sinh (c+d x)}{d^7}-\frac{720 b x \cosh (c+d x)}{d^6}+\frac{b x^6 \sinh (c+d x)}{d}",1,"(-6*a*Cosh[c + d*x])/d^4 - (720*b*x*Cosh[c + d*x])/d^6 - (3*a*x^2*Cosh[c + d*x])/d^2 - (120*b*x^3*Cosh[c + d*x])/d^4 - (6*b*x^5*Cosh[c + d*x])/d^2 + (720*b*Sinh[c + d*x])/d^7 + (6*a*x*Sinh[c + d*x])/d^3 + (360*b*x^2*Sinh[c + d*x])/d^5 + (a*x^3*Sinh[c + d*x])/d + (30*b*x^4*Sinh[c + d*x])/d^3 + (b*x^6*Sinh[c + d*x])/d","A",13,4,17,0.2353,1,"{5287, 3296, 2638, 2637}"
80,1,124,0,0.2284843,"\int x^2 \left(a+b x^3\right) \cosh (c+d x) \, dx","Int[x^2*(a + b*x^3)*Cosh[c + d*x],x]","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}+\frac{20 b x^3 \sinh (c+d x)}{d^3}-\frac{5 b x^4 \cosh (c+d x)}{d^2}-\frac{60 b x^2 \cosh (c+d x)}{d^4}+\frac{120 b x \sinh (c+d x)}{d^5}-\frac{120 b \cosh (c+d x)}{d^6}+\frac{b x^5 \sinh (c+d x)}{d}","\frac{2 a \sinh (c+d x)}{d^3}-\frac{2 a x \cosh (c+d x)}{d^2}+\frac{a x^2 \sinh (c+d x)}{d}+\frac{20 b x^3 \sinh (c+d x)}{d^3}-\frac{5 b x^4 \cosh (c+d x)}{d^2}-\frac{60 b x^2 \cosh (c+d x)}{d^4}+\frac{120 b x \sinh (c+d x)}{d^5}-\frac{120 b \cosh (c+d x)}{d^6}+\frac{b x^5 \sinh (c+d x)}{d}",1,"(-120*b*Cosh[c + d*x])/d^6 - (2*a*x*Cosh[c + d*x])/d^2 - (60*b*x^2*Cosh[c + d*x])/d^4 - (5*b*x^4*Cosh[c + d*x])/d^2 + (2*a*Sinh[c + d*x])/d^3 + (120*b*x*Sinh[c + d*x])/d^5 + (a*x^2*Sinh[c + d*x])/d + (20*b*x^3*Sinh[c + d*x])/d^3 + (b*x^5*Sinh[c + d*x])/d","A",11,4,17,0.2353,1,"{5287, 3296, 2637, 2638}"
81,1,94,0,0.1591687,"\int x \left(a+b x^3\right) \cosh (c+d x) \, dx","Int[x*(a + b*x^3)*Cosh[c + d*x],x]","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}","-\frac{a \cosh (c+d x)}{d^2}+\frac{a x \sinh (c+d x)}{d}+\frac{12 b x^2 \sinh (c+d x)}{d^3}-\frac{4 b x^3 \cosh (c+d x)}{d^2}+\frac{24 b \sinh (c+d x)}{d^5}-\frac{24 b x \cosh (c+d x)}{d^4}+\frac{b x^4 \sinh (c+d x)}{d}",1,"-((a*Cosh[c + d*x])/d^2) - (24*b*x*Cosh[c + d*x])/d^4 - (4*b*x^3*Cosh[c + d*x])/d^2 + (24*b*Sinh[c + d*x])/d^5 + (a*x*Sinh[c + d*x])/d + (12*b*x^2*Sinh[c + d*x])/d^3 + (b*x^4*Sinh[c + d*x])/d","A",9,4,15,0.2667,1,"{5287, 3296, 2638, 2637}"
82,1,66,0,0.103047,"\int \left(a+b x^3\right) \cosh (c+d x) \, dx","Int[(a + b*x^3)*Cosh[c + d*x],x]","\frac{a \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}","\frac{a \sinh (c+d x)}{d}-\frac{3 b x^2 \cosh (c+d x)}{d^2}+\frac{6 b x \sinh (c+d x)}{d^3}-\frac{6 b \cosh (c+d x)}{d^4}+\frac{b x^3 \sinh (c+d x)}{d}",1,"(-6*b*Cosh[c + d*x])/d^4 - (3*b*x^2*Cosh[c + d*x])/d^2 + (a*Sinh[c + d*x])/d + (6*b*x*Sinh[c + d*x])/d^3 + (b*x^3*Sinh[c + d*x])/d","A",7,4,14,0.2857,1,"{5277, 2637, 3296, 2638}"
83,1,56,0,0.1282305,"\int \frac{\left(a+b x^3\right) \cosh (c+d x)}{x} \, dx","Int[((a + b*x^3)*Cosh[c + d*x])/x,x]","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}","a \cosh (c) \text{Chi}(d x)+a \sinh (c) \text{Shi}(d x)+\frac{2 b \sinh (c+d x)}{d^3}-\frac{2 b x \cosh (c+d x)}{d^2}+\frac{b x^2 \sinh (c+d x)}{d}",1,"(-2*b*x*Cosh[c + d*x])/d^2 + a*Cosh[c]*CoshIntegral[d*x] + (2*b*Sinh[c + d*x])/d^3 + (b*x^2*Sinh[c + d*x])/d + a*Sinh[c]*SinhIntegral[d*x]","A",8,6,17,0.3529,1,"{5287, 3303, 3298, 3301, 3296, 2637}"
84,1,55,0,0.1291052,"\int \frac{\left(a+b x^3\right) \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x^3)*Cosh[c + d*x])/x^2,x]","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}-\frac{b \cosh (c+d x)}{d^2}+\frac{b x \sinh (c+d x)}{d}","a d \sinh (c) \text{Chi}(d x)+a d \cosh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{x}-\frac{b \cosh (c+d x)}{d^2}+\frac{b x \sinh (c+d x)}{d}",1,"-((b*Cosh[c + d*x])/d^2) - (a*Cosh[c + d*x])/x + a*d*CoshIntegral[d*x]*Sinh[c] + (b*x*Sinh[c + d*x])/d + a*d*Cosh[c]*SinhIntegral[d*x]","A",8,7,17,0.4118,1,"{5287, 3297, 3303, 3298, 3301, 3296, 2638}"
85,1,69,0,0.1385758,"\int \frac{\left(a+b x^3\right) \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x^3)*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+\frac{b \sinh (c+d x)}{d}","\frac{1}{2} a d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a d^2 \sinh (c) \text{Shi}(d x)-\frac{a \cosh (c+d x)}{2 x^2}-\frac{a d \sinh (c+d x)}{2 x}+\frac{b \sinh (c+d x)}{d}",1,"-(a*Cosh[c + d*x])/(2*x^2) + (a*d^2*Cosh[c]*CoshIntegral[d*x])/2 + (b*Sinh[c + d*x])/d - (a*d*Sinh[c + d*x])/(2*x) + (a*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",8,6,17,0.3529,1,"{5287, 2637, 3297, 3303, 3298, 3301}"
86,1,91,0,0.2154681,"\int \frac{\left(a+b x^3\right) \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x^3)*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)","\frac{1}{6} a d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a d^3 \cosh (c) \text{Shi}(d x)-\frac{a d^2 \cosh (c+d x)}{6 x}-\frac{a d \sinh (c+d x)}{6 x^2}-\frac{a \cosh (c+d x)}{3 x^3}+b \cosh (c) \text{Chi}(d x)+b \sinh (c) \text{Shi}(d x)",1,"-(a*Cosh[c + d*x])/(3*x^3) - (a*d^2*Cosh[c + d*x])/(6*x) + b*Cosh[c]*CoshIntegral[d*x] + (a*d^3*CoshIntegral[d*x]*Sinh[c])/6 - (a*d*Sinh[c + d*x])/(6*x^2) + (a*d^3*Cosh[c]*SinhIntegral[d*x])/6 + b*Sinh[c]*SinhIntegral[d*x]","A",11,5,17,0.2941,1,"{5287, 3297, 3303, 3298, 3301}"
87,1,234,0,0.3952596,"\int x \left(a+b x^3\right)^2 \cosh (c+d x) \, dx","Int[x*(a + b*x^3)^2*Cosh[c + d*x],x]","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}+\frac{24 a b x^2 \sinh (c+d x)}{d^3}-\frac{8 a b x^3 \cosh (c+d x)}{d^2}+\frac{48 a b \sinh (c+d x)}{d^5}-\frac{48 a b x \cosh (c+d x)}{d^4}+\frac{2 a b x^4 \sinh (c+d x)}{d}+\frac{42 b^2 x^5 \sinh (c+d x)}{d^3}+\frac{840 b^2 x^3 \sinh (c+d x)}{d^5}-\frac{7 b^2 x^6 \cosh (c+d x)}{d^2}-\frac{210 b^2 x^4 \cosh (c+d x)}{d^4}-\frac{2520 b^2 x^2 \cosh (c+d x)}{d^6}+\frac{5040 b^2 x \sinh (c+d x)}{d^7}-\frac{5040 b^2 \cosh (c+d x)}{d^8}+\frac{b^2 x^7 \sinh (c+d x)}{d}","-\frac{a^2 \cosh (c+d x)}{d^2}+\frac{a^2 x \sinh (c+d x)}{d}+\frac{24 a b x^2 \sinh (c+d x)}{d^3}-\frac{8 a b x^3 \cosh (c+d x)}{d^2}+\frac{48 a b \sinh (c+d x)}{d^5}-\frac{48 a b x \cosh (c+d x)}{d^4}+\frac{2 a b x^4 \sinh (c+d x)}{d}+\frac{42 b^2 x^5 \sinh (c+d x)}{d^3}+\frac{840 b^2 x^3 \sinh (c+d x)}{d^5}-\frac{7 b^2 x^6 \cosh (c+d x)}{d^2}-\frac{210 b^2 x^4 \cosh (c+d x)}{d^4}-\frac{2520 b^2 x^2 \cosh (c+d x)}{d^6}+\frac{5040 b^2 x \sinh (c+d x)}{d^7}-\frac{5040 b^2 \cosh (c+d x)}{d^8}+\frac{b^2 x^7 \sinh (c+d x)}{d}",1,"(-5040*b^2*Cosh[c + d*x])/d^8 - (a^2*Cosh[c + d*x])/d^2 - (48*a*b*x*Cosh[c + d*x])/d^4 - (2520*b^2*x^2*Cosh[c + d*x])/d^6 - (8*a*b*x^3*Cosh[c + d*x])/d^2 - (210*b^2*x^4*Cosh[c + d*x])/d^4 - (7*b^2*x^6*Cosh[c + d*x])/d^2 + (48*a*b*Sinh[c + d*x])/d^5 + (5040*b^2*x*Sinh[c + d*x])/d^7 + (a^2*x*Sinh[c + d*x])/d + (24*a*b*x^2*Sinh[c + d*x])/d^3 + (840*b^2*x^3*Sinh[c + d*x])/d^5 + (2*a*b*x^4*Sinh[c + d*x])/d + (42*b^2*x^5*Sinh[c + d*x])/d^3 + (b^2*x^7*Sinh[c + d*x])/d","A",17,4,17,0.2353,1,"{5287, 3296, 2638, 2637}"
88,1,186,0,0.2871058,"\int \left(a+b x^3\right)^2 \cosh (c+d x) \, dx","Int[(a + b*x^3)^2*Cosh[c + d*x],x]","\frac{a^2 \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{30 b^2 x^4 \sinh (c+d x)}{d^3}+\frac{360 b^2 x^2 \sinh (c+d x)}{d^5}-\frac{6 b^2 x^5 \cosh (c+d x)}{d^2}-\frac{120 b^2 x^3 \cosh (c+d x)}{d^4}+\frac{720 b^2 \sinh (c+d x)}{d^7}-\frac{720 b^2 x \cosh (c+d x)}{d^6}+\frac{b^2 x^6 \sinh (c+d x)}{d}","\frac{a^2 \sinh (c+d x)}{d}-\frac{6 a b x^2 \cosh (c+d x)}{d^2}+\frac{12 a b x \sinh (c+d x)}{d^3}-\frac{12 a b \cosh (c+d x)}{d^4}+\frac{2 a b x^3 \sinh (c+d x)}{d}+\frac{30 b^2 x^4 \sinh (c+d x)}{d^3}+\frac{360 b^2 x^2 \sinh (c+d x)}{d^5}-\frac{6 b^2 x^5 \cosh (c+d x)}{d^2}-\frac{120 b^2 x^3 \cosh (c+d x)}{d^4}+\frac{720 b^2 \sinh (c+d x)}{d^7}-\frac{720 b^2 x \cosh (c+d x)}{d^6}+\frac{b^2 x^6 \sinh (c+d x)}{d}",1,"(-12*a*b*Cosh[c + d*x])/d^4 - (720*b^2*x*Cosh[c + d*x])/d^6 - (6*a*b*x^2*Cosh[c + d*x])/d^2 - (120*b^2*x^3*Cosh[c + d*x])/d^4 - (6*b^2*x^5*Cosh[c + d*x])/d^2 + (720*b^2*Sinh[c + d*x])/d^7 + (a^2*Sinh[c + d*x])/d + (12*a*b*x*Sinh[c + d*x])/d^3 + (360*b^2*x^2*Sinh[c + d*x])/d^5 + (2*a*b*x^3*Sinh[c + d*x])/d + (30*b^2*x^4*Sinh[c + d*x])/d^3 + (b^2*x^6*Sinh[c + d*x])/d","A",14,4,16,0.2500,1,"{5277, 2637, 3296, 2638}"
89,1,160,0,0.2823425,"\int \frac{\left(a+b x^3\right)^2 \cosh (c+d x)}{x} \, dx","Int[((a + b*x^3)^2*Cosh[c + d*x])/x,x]","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}+\frac{20 b^2 x^3 \sinh (c+d x)}{d^3}-\frac{5 b^2 x^4 \cosh (c+d x)}{d^2}-\frac{60 b^2 x^2 \cosh (c+d x)}{d^4}+\frac{120 b^2 x \sinh (c+d x)}{d^5}-\frac{120 b^2 \cosh (c+d x)}{d^6}+\frac{b^2 x^5 \sinh (c+d x)}{d}","a^2 \cosh (c) \text{Chi}(d x)+a^2 \sinh (c) \text{Shi}(d x)+\frac{4 a b \sinh (c+d x)}{d^3}-\frac{4 a b x \cosh (c+d x)}{d^2}+\frac{2 a b x^2 \sinh (c+d x)}{d}+\frac{20 b^2 x^3 \sinh (c+d x)}{d^3}-\frac{5 b^2 x^4 \cosh (c+d x)}{d^2}-\frac{60 b^2 x^2 \cosh (c+d x)}{d^4}+\frac{120 b^2 x \sinh (c+d x)}{d^5}-\frac{120 b^2 \cosh (c+d x)}{d^6}+\frac{b^2 x^5 \sinh (c+d x)}{d}",1,"(-120*b^2*Cosh[c + d*x])/d^6 - (4*a*b*x*Cosh[c + d*x])/d^2 - (60*b^2*x^2*Cosh[c + d*x])/d^4 - (5*b^2*x^4*Cosh[c + d*x])/d^2 + a^2*Cosh[c]*CoshIntegral[d*x] + (4*a*b*Sinh[c + d*x])/d^3 + (120*b^2*x*Sinh[c + d*x])/d^5 + (2*a*b*x^2*Sinh[c + d*x])/d + (20*b^2*x^3*Sinh[c + d*x])/d^3 + (b^2*x^5*Sinh[c + d*x])/d + a^2*Sinh[c]*SinhIntegral[d*x]","A",14,7,19,0.3684,1,"{5287, 3303, 3298, 3301, 3296, 2637, 2638}"
90,1,143,0,0.2519964,"\int \frac{\left(a+b x^3\right)^2 \cosh (c+d x)}{x^2} \, dx","Int[((a + b*x^3)^2*Cosh[c + d*x])/x^2,x]","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}-\frac{2 a b \cosh (c+d x)}{d^2}+\frac{2 a b x \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}","a^2 d \sinh (c) \text{Chi}(d x)+a^2 d \cosh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{x}-\frac{2 a b \cosh (c+d x)}{d^2}+\frac{2 a b x \sinh (c+d x)}{d}+\frac{12 b^2 x^2 \sinh (c+d x)}{d^3}-\frac{4 b^2 x^3 \cosh (c+d x)}{d^2}+\frac{24 b^2 \sinh (c+d x)}{d^5}-\frac{24 b^2 x \cosh (c+d x)}{d^4}+\frac{b^2 x^4 \sinh (c+d x)}{d}",1,"(-2*a*b*Cosh[c + d*x])/d^2 - (a^2*Cosh[c + d*x])/x - (24*b^2*x*Cosh[c + d*x])/d^4 - (4*b^2*x^3*Cosh[c + d*x])/d^2 + a^2*d*CoshIntegral[d*x]*Sinh[c] + (24*b^2*Sinh[c + d*x])/d^5 + (2*a*b*x*Sinh[c + d*x])/d + (12*b^2*x^2*Sinh[c + d*x])/d^3 + (b^2*x^4*Sinh[c + d*x])/d + a^2*d*Cosh[c]*SinhIntegral[d*x]","A",13,8,19,0.4211,1,"{5287, 3297, 3303, 3298, 3301, 3296, 2638, 2637}"
91,1,141,0,0.2328057,"\int \frac{\left(a+b x^3\right)^2 \cosh (c+d x)}{x^3} \, dx","Int[((a + b*x^3)^2*Cosh[c + d*x])/x^3,x]","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+\frac{2 a b \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}","\frac{1}{2} a^2 d^2 \cosh (c) \text{Chi}(d x)+\frac{1}{2} a^2 d^2 \sinh (c) \text{Shi}(d x)-\frac{a^2 \cosh (c+d x)}{2 x^2}-\frac{a^2 d \sinh (c+d x)}{2 x}+\frac{2 a b \sinh (c+d x)}{d}-\frac{3 b^2 x^2 \cosh (c+d x)}{d^2}+\frac{6 b^2 x \sinh (c+d x)}{d^3}-\frac{6 b^2 \cosh (c+d x)}{d^4}+\frac{b^2 x^3 \sinh (c+d x)}{d}",1,"(-6*b^2*Cosh[c + d*x])/d^4 - (a^2*Cosh[c + d*x])/(2*x^2) - (3*b^2*x^2*Cosh[c + d*x])/d^2 + (a^2*d^2*Cosh[c]*CoshIntegral[d*x])/2 + (2*a*b*Sinh[c + d*x])/d - (a^2*d*Sinh[c + d*x])/(2*x) + (6*b^2*x*Sinh[c + d*x])/d^3 + (b^2*x^3*Sinh[c + d*x])/d + (a^2*d^2*Sinh[c]*SinhIntegral[d*x])/2","A",12,8,19,0.4211,1,"{5287, 2637, 3297, 3303, 3298, 3301, 3296, 2638}"
92,1,150,0,0.2788456,"\int \frac{\left(a+b x^3\right)^2 \cosh (c+d x)}{x^4} \, dx","Int[((a + b*x^3)^2*Cosh[c + d*x])/x^4,x]","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)+\frac{2 b^2 \sinh (c+d x)}{d^3}-\frac{2 b^2 x \cosh (c+d x)}{d^2}+\frac{b^2 x^2 \sinh (c+d x)}{d}","\frac{1}{6} a^2 d^3 \sinh (c) \text{Chi}(d x)+\frac{1}{6} a^2 d^3 \cosh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{6 x}-\frac{a^2 d \sinh (c+d x)}{6 x^2}-\frac{a^2 \cosh (c+d x)}{3 x^3}+2 a b \cosh (c) \text{Chi}(d x)+2 a b \sinh (c) \text{Shi}(d x)+\frac{2 b^2 \sinh (c+d x)}{d^3}-\frac{2 b^2 x \cosh (c+d x)}{d^2}+\frac{b^2 x^2 \sinh (c+d x)}{d}",1,"-(a^2*Cosh[c + d*x])/(3*x^3) - (a^2*d^2*Cosh[c + d*x])/(6*x) - (2*b^2*x*Cosh[c + d*x])/d^2 + 2*a*b*Cosh[c]*CoshIntegral[d*x] + (a^2*d^3*CoshIntegral[d*x]*Sinh[c])/6 + (2*b^2*Sinh[c + d*x])/d^3 - (a^2*d*Sinh[c + d*x])/(6*x^2) + (b^2*x^2*Sinh[c + d*x])/d + (a^2*d^3*Cosh[c]*SinhIntegral[d*x])/6 + 2*a*b*Sinh[c]*SinhIntegral[d*x]","A",14,7,19,0.3684,1,"{5287, 3297, 3303, 3298, 3301, 3296, 2637}"
93,1,167,0,0.3079797,"\int \frac{\left(a+b x^3\right)^2 \cosh (c+d x)}{x^5} \, dx","Int[((a + b*x^3)^2*Cosh[c + d*x])/x^5,x]","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}","\frac{1}{24} a^2 d^4 \cosh (c) \text{Chi}(d x)+\frac{1}{24} a^2 d^4 \sinh (c) \text{Shi}(d x)-\frac{a^2 d^2 \cosh (c+d x)}{24 x^2}-\frac{a^2 d^3 \sinh (c+d x)}{24 x}-\frac{a^2 d \sinh (c+d x)}{12 x^3}-\frac{a^2 \cosh (c+d x)}{4 x^4}+2 a b d \sinh (c) \text{Chi}(d x)+2 a b d \cosh (c) \text{Shi}(d x)-\frac{2 a b \cosh (c+d x)}{x}-\frac{b^2 \cosh (c+d x)}{d^2}+\frac{b^2 x \sinh (c+d x)}{d}",1,"-((b^2*Cosh[c + d*x])/d^2) - (a^2*Cosh[c + d*x])/(4*x^4) - (a^2*d^2*Cosh[c + d*x])/(24*x^2) - (2*a*b*Cosh[c + d*x])/x + (a^2*d^4*Cosh[c]*CoshIntegral[d*x])/24 + 2*a*b*d*CoshIntegral[d*x]*Sinh[c] - (a^2*d*Sinh[c + d*x])/(12*x^3) - (a^2*d^3*Sinh[c + d*x])/(24*x) + (b^2*x*Sinh[c + d*x])/d + 2*a*b*d*Cosh[c]*SinhIntegral[d*x] + (a^2*d^4*Sinh[c]*SinhIntegral[d*x])/24","A",15,7,19,0.3684,1,"{5287, 3297, 3303, 3298, 3301, 3296, 2638}"
94,1,373,0,0.9371878,"\int \frac{x^4 \cosh (c+d x)}{a+b x^3} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x^3),x]","\frac{(-1)^{2/3} a^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{5/3}}-\frac{\sqrt[3]{-1} a^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}+\frac{a^{2/3} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{(-1)^{2/3} a^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{5/3}}+\frac{a^{2/3} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{\sqrt[3]{-1} a^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}","\frac{(-1)^{2/3} a^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{5/3}}-\frac{\sqrt[3]{-1} a^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}+\frac{a^{2/3} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{(-1)^{2/3} a^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{5/3}}+\frac{a^{2/3} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{\sqrt[3]{-1} a^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{5/3}}-\frac{\cosh (c+d x)}{b d^2}+\frac{x \sinh (c+d x)}{b d}",1,"-(Cosh[c + d*x]/(b*d^2)) + ((-1)^(2/3)*a^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b^(5/3)) - ((-1)^(1/3)*a^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*b^(5/3)) + (a^(2/3)*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(5/3)) + (x*Sinh[c + d*x])/(b*d) - ((-1)^(2/3)*a^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b^(5/3)) + (a^(2/3)*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(5/3)) - ((-1)^(1/3)*a^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(5/3))","A",15,6,19,0.3158,1,"{5293, 3296, 2638, 3303, 3298, 3301}"
95,1,358,0,0.6484269,"\int \frac{x^3 \cosh (c+d x)}{a+b x^3} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^3),x]","\frac{\sqrt[3]{-1} \sqrt[3]{a} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{a} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{\sqrt[3]{a} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{a} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{4/3}}-\frac{\sqrt[3]{a} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{a} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}+\frac{\sinh (c+d x)}{b d}","\frac{\sqrt[3]{-1} \sqrt[3]{a} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{a} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{\sqrt[3]{a} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{a} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b^{4/3}}-\frac{\sqrt[3]{a} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{a} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b^{4/3}}+\frac{\sinh (c+d x)}{b d}",1,"((-1)^(1/3)*a^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b^(4/3)) - ((-1)^(2/3)*a^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*b^(4/3)) - (a^(1/3)*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(4/3)) + Sinh[c + d*x]/(b*d) - ((-1)^(1/3)*a^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b^(4/3)) - (a^(1/3)*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(4/3)) - ((-1)^(2/3)*a^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*b^(4/3))","A",14,6,19,0.3158,1,"{5293, 2637, 5281, 3303, 3298, 3301}"
96,1,283,0,0.4551368,"\int \frac{x^2 \cosh (c+d x)}{a+b x^3} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^3),x]","\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b}+\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}-\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}+\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}","\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b}+\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}-\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 b}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}+\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 b}",1,"(Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b) + (Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*b) + (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b) - (Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*b) + (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*b) + (Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*b)","A",11,4,19,0.2105,1,"{5293, 3303, 3298, 3301}"
97,1,345,0,0.4115657,"\int \frac{x \cosh (c+d x)}{a+b x^3} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^3),x]","-\frac{(-1)^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{(-1)^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 \sqrt[3]{a} b^{2/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}","-\frac{(-1)^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{(-1)^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 \sqrt[3]{a} b^{2/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 \sqrt[3]{a} b^{2/3}}",1,"-((-1)^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(1/3)*b^(2/3)) + ((-1)^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a^(1/3)*b^(2/3)) - (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(1/3)*b^(2/3)) + ((-1)^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(1/3)*b^(2/3)) - (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(1/3)*b^(2/3)) + ((-1)^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(1/3)*b^(2/3))","A",11,4,17,0.2353,1,"{5293, 3303, 3298, 3301}"
98,1,345,0,0.4013214,"\int \frac{\cosh (c+d x)}{a+b x^3} \, dx","Int[Cosh[c + d*x]/(a + b*x^3),x]","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{2/3} \sqrt[3]{b}}",1,"-((-1)^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(2/3)*b^(1/3)) + ((-1)^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a^(2/3)*b^(1/3)) + (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(2/3)*b^(1/3)) + ((-1)^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(2/3)*b^(1/3)) + (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(2/3)*b^(1/3)) + ((-1)^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(2/3)*b^(1/3))","A",11,4,16,0.2500,1,"{5281, 3303, 3298, 3301}"
99,1,303,0,0.523232,"\int \frac{\cosh (c+d x)}{x \left(a+b x^3\right)} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x^3)),x]","-\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}+\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}-\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}","-\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}+\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}-\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a}+\frac{\cosh (c) \text{Chi}(d x)}{a}+\frac{\sinh (c) \text{Shi}(d x)}{a}",1,"(Cosh[c]*CoshIntegral[d*x])/a - (Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a) - (Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a) - (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a) + (Sinh[c]*SinhIntegral[d*x])/a + (Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a) - (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a) - (Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a)","A",16,4,19,0.2105,1,"{5293, 3303, 3298, 3301}"
100,1,381,0,0.6000985,"\int \frac{\cosh (c+d x)}{x^2 \left(a+b x^3\right)} \, dx","Int[Cosh[c + d*x]/(x^2*(a + b*x^3)),x]","\frac{(-1)^{2/3} \sqrt[3]{b} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{b} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}+\frac{\sqrt[3]{b} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{b} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{4/3}}+\frac{\sqrt[3]{b} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{b} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}","\frac{(-1)^{2/3} \sqrt[3]{b} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{b} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}+\frac{\sqrt[3]{b} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}-\frac{(-1)^{2/3} \sqrt[3]{b} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{4/3}}+\frac{\sqrt[3]{b} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}-\frac{\sqrt[3]{-1} \sqrt[3]{b} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{4/3}}+\frac{d \sinh (c) \text{Chi}(d x)}{a}+\frac{d \cosh (c) \text{Shi}(d x)}{a}-\frac{\cosh (c+d x)}{a x}",1,"-(Cosh[c + d*x]/(a*x)) + ((-1)^(2/3)*b^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(4/3)) - ((-1)^(1/3)*b^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a^(4/3)) + (b^(1/3)*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(4/3)) + (d*CoshIntegral[d*x]*Sinh[c])/a + (d*Cosh[c]*SinhIntegral[d*x])/a - ((-1)^(2/3)*b^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(4/3)) + (b^(1/3)*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(4/3)) - ((-1)^(1/3)*b^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(4/3))","A",17,5,19,0.2632,1,"{5293, 3297, 3303, 3298, 3301}"
101,1,410,0,0.6390853,"\int \frac{\cosh (c+d x)}{x^3 \left(a+b x^3\right)} \, dx","Int[Cosh[c + d*x]/(x^3*(a + b*x^3)),x]","\frac{\sqrt[3]{-1} b^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{5/3}}-\frac{(-1)^{2/3} b^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{b^{2/3} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{\sqrt[3]{-1} b^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{5/3}}-\frac{b^{2/3} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{(-1)^{2/3} b^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}","\frac{\sqrt[3]{-1} b^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{5/3}}-\frac{(-1)^{2/3} b^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{b^{2/3} \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{\sqrt[3]{-1} b^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^{5/3}}-\frac{b^{2/3} \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}-\frac{(-1)^{2/3} b^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^{5/3}}+\frac{d^2 \cosh (c) \text{Chi}(d x)}{2 a}+\frac{d^2 \sinh (c) \text{Shi}(d x)}{2 a}-\frac{\cosh (c+d x)}{2 a x^2}-\frac{d \sinh (c+d x)}{2 a x}",1,"-Cosh[c + d*x]/(2*a*x^2) + (d^2*Cosh[c]*CoshIntegral[d*x])/(2*a) + ((-1)^(1/3)*b^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(5/3)) - ((-1)^(2/3)*b^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a^(5/3)) - (b^(2/3)*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(5/3)) - (d*Sinh[c + d*x])/(2*a*x) + (d^2*Sinh[c]*SinhIntegral[d*x])/(2*a) - ((-1)^(1/3)*b^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^(5/3)) - (b^(2/3)*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(5/3)) - ((-1)^(2/3)*b^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a^(5/3))","A",18,6,19,0.3158,1,"{5293, 3297, 3303, 3298, 3301, 5281}"
102,1,718,0,1.0811942,"\int \frac{x^3 \cosh (c+d x)}{\left(a+b x^3\right)^2} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^3)^2,x]","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{(-1)^{2/3} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{\sqrt[3]{-1} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{(-1)^{2/3} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{\sqrt[3]{-1} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{x \cosh (c+d x)}{3 b \left(a+b x^3\right)}","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{(-1)^{2/3} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{\sqrt[3]{-1} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{(-1)^{2/3} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}+\frac{\sqrt[3]{-1} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 \sqrt[3]{a} b^{5/3}}-\frac{x \cosh (c+d x)}{3 b \left(a+b x^3\right)}",1,"-(x*Cosh[c + d*x])/(3*b*(a + b*x^3)) - ((-1)^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(2/3)*b^(4/3)) + ((-1)^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(9*a^(2/3)*b^(4/3)) + (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(2/3)*b^(4/3)) - (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(9*a^(1/3)*b^(5/3)) - ((-1)^(2/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(1/3)*b^(5/3)) + ((-1)^(1/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(1/3)*b^(5/3)) + ((-1)^(2/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(1/3)*b^(5/3)) + ((-1)^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(2/3)*b^(4/3)) - (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(1/3)*b^(5/3)) + (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(2/3)*b^(4/3)) + ((-1)^(1/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(1/3)*b^(5/3)) + ((-1)^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(2/3)*b^(4/3))","A",23,6,19,0.3158,1,"{5291, 5281, 3303, 3298, 3301, 5292}"
103,1,373,0,0.6011654,"\int \frac{x^2 \cosh (c+d x)}{\left(a+b x^3\right)^2} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^3)^2,x]","\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{\cosh (c+d x)}{3 b \left(a+b x^3\right)}","\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{2/3} b^{4/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}+\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{2/3} b^{4/3}}-\frac{\cosh (c+d x)}{3 b \left(a+b x^3\right)}",1,"-Cosh[c + d*x]/(3*b*(a + b*x^3)) + (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(9*a^(2/3)*b^(4/3)) - ((-1)^(1/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(2/3)*b^(4/3)) + ((-1)^(2/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(2/3)*b^(4/3)) + ((-1)^(1/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(2/3)*b^(4/3)) + (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(2/3)*b^(4/3)) + ((-1)^(2/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(2/3)*b^(4/3))","A",12,5,19,0.2632,1,"{5289, 5280, 3303, 3298, 3301}"
104,1,695,0,1.3236329,"\int \frac{x \cosh (c+d x)}{\left(a+b x^3\right)^2} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^3)^2,x]","-\frac{(-1)^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{(-1)^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a b}-\frac{d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}+\frac{d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a b}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{\cosh (c+d x)}{3 b x \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x}","-\frac{(-1)^{2/3} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{(-1)^{2/3} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a b}-\frac{d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}+\frac{d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a b}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a b}-\frac{\cosh (c+d x)}{3 b x \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x}",1,"Cosh[c + d*x]/(3*a*b*x) - Cosh[c + d*x]/(3*b*x*(a + b*x^3)) - ((-1)^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(4/3)*b^(2/3)) + ((-1)^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(9*a^(4/3)*b^(2/3)) - (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(4/3)*b^(2/3)) - (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(9*a*b) - (d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(9*a*b) - (d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(9*a*b) + (d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a*b) + ((-1)^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(4/3)*b^(2/3)) - (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a*b) - (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(4/3)*b^(2/3)) - (d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a*b) + ((-1)^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(4/3)*b^(2/3))","A",34,7,17,0.4118,1,"{5291, 5293, 3297, 3303, 3298, 3301, 5292}"
105,1,739,0,1.3230603,"\int \frac{\cosh (c+d x)}{\left(a+b x^3\right)^2} \, dx","Int[Cosh[c + d*x]/(a + b*x^3)^2,x]","\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{(-1)^{2/3} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}-\frac{\sqrt[3]{-1} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{(-1)^{2/3} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{\sqrt[3]{-1} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{2 \sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 (-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 (-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{\cosh (c+d x)}{3 b x^2 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x^2}","\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}+\frac{(-1)^{2/3} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}-\frac{\sqrt[3]{-1} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{(-1)^{2/3} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{4/3} b^{2/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{\sqrt[3]{-1} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{4/3} b^{2/3}}-\frac{2 \sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 (-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{2 (-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{\cosh (c+d x)}{3 b x^2 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x^2}",1,"Cosh[c + d*x]/(3*a*b*x^2) - Cosh[c + d*x]/(3*b*x^2*(a + b*x^3)) - (2*(-1)^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(5/3)*b^(1/3)) + (2*(-1)^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(9*a^(5/3)*b^(1/3)) + (2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(5/3)*b^(1/3)) + (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(9*a^(4/3)*b^(2/3)) + ((-1)^(2/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(4/3)*b^(2/3)) - ((-1)^(1/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(4/3)*b^(2/3)) - ((-1)^(2/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(4/3)*b^(2/3)) + (2*(-1)^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(5/3)*b^(1/3)) + (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(4/3)*b^(2/3)) + (2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(5/3)*b^(1/3)) - ((-1)^(1/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(4/3)*b^(2/3)) + (2*(-1)^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(5/3)*b^(1/3))","A",36,8,16,0.5000,1,"{5279, 5293, 3297, 3303, 3298, 3301, 5281, 5292}"
106,1,697,0,1.4715916,"\int \frac{\cosh (c+d x)}{x \left(a+b x^3\right)^2} \, dx","Int[Cosh[c + d*x]/(x*(a + b*x^3)^2),x]","-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^2}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}+\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^2}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{3 b x^3 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x^3}","-\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{\cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^2}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}+\frac{\sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{3 a^2}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{3 a^2}-\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}-\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{9 a^{5/3} \sqrt[3]{b}}+\frac{\cosh (c) \text{Chi}(d x)}{a^2}+\frac{\sinh (c) \text{Shi}(d x)}{a^2}-\frac{\cosh (c+d x)}{3 b x^3 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{3 a b x^3}",1,"Cosh[c + d*x]/(3*a*b*x^3) - Cosh[c + d*x]/(3*b*x^3*(a + b*x^3)) + (Cosh[c]*CoshIntegral[d*x])/a^2 - (Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^2) - (Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(3*a^2) - (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^2) - (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(9*a^(5/3)*b^(1/3)) + ((-1)^(1/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(5/3)*b^(1/3)) - ((-1)^(2/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(9*a^(5/3)*b^(1/3)) + (Sinh[c]*SinhIntegral[d*x])/a^2 - ((-1)^(1/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(9*a^(5/3)*b^(1/3)) + (Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(3*a^2) - (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(5/3)*b^(1/3)) - (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(3*a^2) - ((-1)^(2/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(9*a^(5/3)*b^(1/3)) - (Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(3*a^2)","A",41,8,19,0.4211,1,"{5291, 5293, 3297, 3303, 3298, 3301, 5292, 5280}"
107,1,784,0,1.626195,"\int \frac{x^5 \cosh (c+d x)}{\left(a+b x^3\right)^3} \, dx","Int[(x^5*Cosh[c + d*x])/(a + b*x^3)^3,x]","\frac{2 d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}-\frac{2 \sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{2/3} b^{7/3}}+\frac{2 (-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}+\frac{2 \sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{2/3} b^{7/3}}+\frac{2 d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}+\frac{2 (-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}-\frac{(-1)^{2/3} d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{\sqrt[3]{-1} d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{(-1)^{2/3} d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{\sqrt[3]{-1} d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d x \sinh (c+d x)}{18 b^2 \left(a+b x^3\right)}-\frac{\cosh (c+d x)}{6 b^2 \left(a+b x^3\right)}-\frac{x^3 \cosh (c+d x)}{6 b \left(a+b x^3\right)^2}","\frac{2 d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}-\frac{2 \sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{2/3} b^{7/3}}+\frac{2 (-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}+\frac{2 \sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{2/3} b^{7/3}}+\frac{2 d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}+\frac{2 (-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{2/3} b^{7/3}}-\frac{(-1)^{2/3} d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{\sqrt[3]{-1} d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{(-1)^{2/3} d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}+\frac{\sqrt[3]{-1} d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 \sqrt[3]{a} b^{8/3}}-\frac{d x \sinh (c+d x)}{18 b^2 \left(a+b x^3\right)}-\frac{\cosh (c+d x)}{6 b^2 \left(a+b x^3\right)}-\frac{x^3 \cosh (c+d x)}{6 b \left(a+b x^3\right)^2}",1,"-(x^3*Cosh[c + d*x])/(6*b*(a + b*x^3)^2) - Cosh[c + d*x]/(6*b^2*(a + b*x^3)) - ((-1)^(2/3)*d^2*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(1/3)*b^(8/3)) + ((-1)^(1/3)*d^2*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(54*a^(1/3)*b^(8/3)) - (d^2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(1/3)*b^(8/3)) + (2*d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(27*a^(2/3)*b^(7/3)) - (2*(-1)^(1/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(27*a^(2/3)*b^(7/3)) + (2*(-1)^(2/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(27*a^(2/3)*b^(7/3)) - (d*x*Sinh[c + d*x])/(18*b^2*(a + b*x^3)) + (2*(-1)^(1/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(2/3)*b^(7/3)) + ((-1)^(2/3)*d^2*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(1/3)*b^(8/3)) + (2*d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(2/3)*b^(7/3)) - (d^2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(1/3)*b^(8/3)) + (2*(-1)^(2/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(2/3)*b^(7/3)) + ((-1)^(1/3)*d^2*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(1/3)*b^(8/3))","A",36,8,19,0.4211,1,"{5291, 5289, 5280, 3303, 3298, 3301, 5290, 5293}"
108,1,1105,0,1.853043,"\int \frac{x^4 \cosh (c+d x)}{\left(a+b x^3\right)^3} \, dx","Int[(x^4*Cosh[c + d*x])/(a + b*x^3)^3,x]","-\frac{\sqrt[3]{-1} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\sqrt[3]{-1} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}-\frac{\text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\sinh (c+d x) d}{18 b^2 \left(b x^3+a\right)}+\frac{\cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d}{27 a b^2}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}+\frac{\cosh (c+d x)}{9 a b^2 x}-\frac{\cosh (c+d x)}{9 b^2 x \left(b x^3+a\right)}-\frac{x^2 \cosh (c+d x)}{6 b \left(b x^3+a\right)^2}-\frac{(-1)^{2/3} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}+\frac{(-1)^{2/3} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{4/3} b^{5/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}","-\frac{\sqrt[3]{-1} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\sqrt[3]{-1} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{2/3} b^{7/3}}-\frac{\text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\sinh (c+d x) d}{18 b^2 \left(b x^3+a\right)}+\frac{\cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d}{27 a b^2}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}-\frac{\cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a b^2}+\frac{\cosh (c+d x)}{9 a b^2 x}-\frac{\cosh (c+d x)}{9 b^2 x \left(b x^3+a\right)}-\frac{x^2 \cosh (c+d x)}{6 b \left(b x^3+a\right)^2}-\frac{(-1)^{2/3} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}+\frac{(-1)^{2/3} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{4/3} b^{5/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{4/3} b^{5/3}}",1,"Cosh[c + d*x]/(9*a*b^2*x) - (x^2*Cosh[c + d*x])/(6*b*(a + b*x^3)^2) - Cosh[c + d*x]/(9*b^2*x*(a + b*x^3)) - ((-1)^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(4/3)*b^(5/3)) - ((-1)^(1/3)*d^2*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(2/3)*b^(7/3)) + ((-1)^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(27*a^(4/3)*b^(5/3)) + ((-1)^(2/3)*d^2*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(54*a^(2/3)*b^(7/3)) - (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(4/3)*b^(5/3)) + (d^2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(2/3)*b^(7/3)) - (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(27*a*b^2) - (d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(27*a*b^2) - (d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(27*a*b^2) - (d*Sinh[c + d*x])/(18*b^2*(a + b*x^3)) + (d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a*b^2) + ((-1)^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(4/3)*b^(5/3)) + ((-1)^(1/3)*d^2*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(2/3)*b^(7/3)) - (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a*b^2) - (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(4/3)*b^(5/3)) + (d^2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(2/3)*b^(7/3)) - (d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a*b^2) + ((-1)^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(4/3)*b^(5/3)) + ((-1)^(2/3)*d^2*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(2/3)*b^(7/3))","A",47,9,19,0.4737,1,"{5291, 5293, 3297, 3303, 3298, 3301, 5292, 5288, 5281}"
109,1,776,0,2.6587911,"\int \frac{x^3 \cosh (c+d x)}{\left(a+b x^3\right)^3} \, dx","Int[(x^3*Cosh[c + d*x])/(a + b*x^3)^3,x]","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a b^2}-\frac{d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}+\frac{d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a b^2}-\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d \sinh (c+d x)}{18 b^2 x \left(a+b x^3\right)}-\frac{\cosh (c+d x)}{18 b^2 x^2 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{18 a b^2 x^2}+\frac{d \sinh (c+d x)}{18 a b^2 x}-\frac{x \cosh (c+d x)}{6 b \left(a+b x^3\right)^2}","-\frac{\sqrt[3]{-1} \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{\sqrt[3]{-1} \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a b^2}-\frac{d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}+\frac{d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a b^2}-\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a b^2}-\frac{d \sinh (c+d x)}{18 b^2 x \left(a+b x^3\right)}-\frac{\cosh (c+d x)}{18 b^2 x^2 \left(a+b x^3\right)}+\frac{\cosh (c+d x)}{18 a b^2 x^2}+\frac{d \sinh (c+d x)}{18 a b^2 x}-\frac{x \cosh (c+d x)}{6 b \left(a+b x^3\right)^2}",1,"Cosh[c + d*x]/(18*a*b^2*x^2) - (x*Cosh[c + d*x])/(6*b*(a + b*x^3)^2) - Cosh[c + d*x]/(18*b^2*x^2*(a + b*x^3)) - ((-1)^(1/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(5/3)*b^(4/3)) - (d^2*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a*b^2) + ((-1)^(2/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(27*a^(5/3)*b^(4/3)) - (d^2*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(54*a*b^2) + (Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(5/3)*b^(4/3)) - (d^2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a*b^2) + (d*Sinh[c + d*x])/(18*a*b^2*x) - (d*Sinh[c + d*x])/(18*b^2*x*(a + b*x^3)) + ((-1)^(1/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(5/3)*b^(4/3)) + (d^2*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a*b^2) + (Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(5/3)*b^(4/3)) - (d^2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a*b^2) + ((-1)^(2/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(5/3)*b^(4/3)) - (d^2*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(54*a*b^2)","A",71,10,19,0.5263,1,"{5291, 5279, 5293, 3297, 3303, 3298, 3301, 5281, 5292, 5290}"
110,1,781,0,1.4492975,"\int \frac{x^2 \cosh (c+d x)}{\left(a+b x^3\right)^3} \, dx","Int[(x^2*Cosh[c + d*x])/(a + b*x^3)^3,x]","\frac{(-1)^{2/3} d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a^{4/3} b^{5/3}}-\frac{\sqrt[3]{-1} d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a^{4/3} b^{5/3}}+\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}-\frac{\sqrt[3]{-1} d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{d \sinh (c+d x)}{18 b^2 x^2 \left(a+b x^3\right)}+\frac{d \sinh (c+d x)}{18 a b^2 x^2}-\frac{\cosh (c+d x)}{6 b \left(a+b x^3\right)^2}","\frac{(-1)^{2/3} d^2 \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a^{4/3} b^{5/3}}-\frac{\sqrt[3]{-1} d^2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{d^2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{d \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{\sqrt[3]{-1} d \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} d \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} d^2 \sinh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{54 a^{4/3} b^{5/3}}+\frac{d^2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}-\frac{\sqrt[3]{-1} d^2 \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{54 a^{4/3} b^{5/3}}+\frac{\sqrt[3]{-1} d \cosh \left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}+c\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{5/3} b^{4/3}}+\frac{d \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}+\frac{(-1)^{2/3} d \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{5/3} b^{4/3}}-\frac{d \sinh (c+d x)}{18 b^2 x^2 \left(a+b x^3\right)}+\frac{d \sinh (c+d x)}{18 a b^2 x^2}-\frac{\cosh (c+d x)}{6 b \left(a+b x^3\right)^2}",1,"-Cosh[c + d*x]/(6*b*(a + b*x^3)^2) + ((-1)^(2/3)*d^2*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(4/3)*b^(5/3)) - ((-1)^(1/3)*d^2*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(54*a^(4/3)*b^(5/3)) + (d^2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(4/3)*b^(5/3)) + (d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(27*a^(5/3)*b^(4/3)) - ((-1)^(1/3)*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(27*a^(5/3)*b^(4/3)) + ((-1)^(2/3)*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(27*a^(5/3)*b^(4/3)) + (d*Sinh[c + d*x])/(18*a*b^2*x^2) - (d*Sinh[c + d*x])/(18*b^2*x^2*(a + b*x^3)) + ((-1)^(1/3)*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(5/3)*b^(4/3)) - ((-1)^(2/3)*d^2*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(4/3)*b^(5/3)) + (d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(5/3)*b^(4/3)) + (d^2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(4/3)*b^(5/3)) + ((-1)^(2/3)*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(5/3)*b^(4/3)) - ((-1)^(1/3)*d^2*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(4/3)*b^(5/3))","A",37,9,19,0.4737,1,"{5289, 5278, 5292, 3297, 3303, 3298, 3301, 5280, 5293}"
111,1,1147,0,3.1977304,"\int \frac{x \cosh (c+d x)}{\left(a+b x^3\right)^3} \, dx","Int[(x*Cosh[c + d*x])/(a + b*x^3)^3,x]","\frac{\sqrt[3]{-1} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\sqrt[3]{-1} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{2 \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{\sinh (c+d x) d}{18 b^2 x^3 \left(b x^3+a\right)}+\frac{\sinh (c+d x) d}{18 a b^2 x^3}+\frac{2 \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d}{27 a^2 b}-\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}+\frac{2 \cosh (c+d x)}{9 a^2 b x}+\frac{\cosh (c+d x)}{18 b^2 x^4 \left(b x^3+a\right)}-\frac{\cosh (c+d x)}{6 b x \left(b x^3+a\right)^2}-\frac{\cosh (c+d x)}{18 a b^2 x^4}-\frac{2 (-1)^{2/3} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{7/3} b^{2/3}}+\frac{2 \sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}-\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}+\frac{2 (-1)^{2/3} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{7/3} b^{2/3}}-\frac{2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}+\frac{2 \sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}","\frac{\sqrt[3]{-1} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\sqrt[3]{-1} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{\sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{(-1)^{2/3} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d^2}{54 a^{5/3} b^{4/3}}-\frac{2 \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{\sinh (c+d x) d}{18 b^2 x^3 \left(b x^3+a\right)}+\frac{\sinh (c+d x) d}{18 a b^2 x^3}+\frac{2 \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right) d}{27 a^2 b}-\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}-\frac{2 \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) d}{27 a^2 b}+\frac{2 \cosh (c+d x)}{9 a^2 b x}+\frac{\cosh (c+d x)}{18 b^2 x^4 \left(b x^3+a\right)}-\frac{\cosh (c+d x)}{6 b x \left(b x^3+a\right)^2}-\frac{\cosh (c+d x)}{18 a b^2 x^4}-\frac{2 (-1)^{2/3} \cosh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{7/3} b^{2/3}}+\frac{2 \sqrt[3]{-1} \cosh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(-x d-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}-\frac{2 \cosh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Chi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}+\frac{2 (-1)^{2/3} \sinh \left(c+\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(\frac{\sqrt[3]{-1} \sqrt[3]{a} d}{\sqrt[3]{b}}-d x\right)}{27 a^{7/3} b^{2/3}}-\frac{2 \sinh \left(c-\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{\sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}+\frac{2 \sqrt[3]{-1} \sinh \left(c-\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right) \text{Shi}\left(x d+\frac{(-1)^{2/3} \sqrt[3]{a} d}{\sqrt[3]{b}}\right)}{27 a^{7/3} b^{2/3}}",1,"-Cosh[c + d*x]/(18*a*b^2*x^4) + (2*Cosh[c + d*x])/(9*a^2*b*x) - Cosh[c + d*x]/(6*b*x*(a + b*x^3)^2) + Cosh[c + d*x]/(18*b^2*x^4*(a + b*x^3)) - (2*(-1)^(2/3)*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(7/3)*b^(2/3)) + ((-1)^(1/3)*d^2*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(5/3)*b^(4/3)) + (2*(-1)^(1/3)*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(27*a^(7/3)*b^(2/3)) - ((-1)^(2/3)*d^2*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x])/(54*a^(5/3)*b^(4/3)) - (2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(7/3)*b^(2/3)) - (d^2*Cosh[c - (a^(1/3)*d)/b^(1/3)]*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(5/3)*b^(4/3)) - (2*d*CoshIntegral[(a^(1/3)*d)/b^(1/3) + d*x]*Sinh[c - (a^(1/3)*d)/b^(1/3)])/(27*a^2*b) - (2*d*CoshIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x]*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)])/(27*a^2*b) - (2*d*CoshIntegral[-(((-1)^(2/3)*a^(1/3)*d)/b^(1/3)) - d*x]*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)])/(27*a^2*b) + (d*Sinh[c + d*x])/(18*a*b^2*x^3) - (d*Sinh[c + d*x])/(18*b^2*x^3*(a + b*x^3)) + (2*d*Cosh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^2*b) + (2*(-1)^(2/3)*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(27*a^(7/3)*b^(2/3)) - ((-1)^(1/3)*d^2*Sinh[c + ((-1)^(1/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(1/3)*a^(1/3)*d)/b^(1/3) - d*x])/(54*a^(5/3)*b^(4/3)) - (2*d*Cosh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^2*b) - (2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(7/3)*b^(2/3)) - (d^2*Sinh[c - (a^(1/3)*d)/b^(1/3)]*SinhIntegral[(a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(5/3)*b^(4/3)) - (2*d*Cosh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^2*b) + (2*(-1)^(1/3)*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(27*a^(7/3)*b^(2/3)) - ((-1)^(2/3)*d^2*Sinh[c - ((-1)^(2/3)*a^(1/3)*d)/b^(1/3)]*SinhIntegral[((-1)^(2/3)*a^(1/3)*d)/b^(1/3) + d*x])/(54*a^(5/3)*b^(4/3))","A",89,9,17,0.5294,1,"{5291, 5293, 3297, 3303, 3298, 3301, 5292, 5290, 5281}"