1,0,-1,183,0.000000,"\text{Not used}","int(acosh(c*x)*(d + e*x)^3,x)","\int \mathrm{acosh}\left(c\,x\right)\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int(acosh(c*x)*(d + e*x)^3, x)","F"
2,0,-1,123,0.000000,"\text{Not used}","int(acosh(c*x)*(d + e*x)^2,x)","\int \mathrm{acosh}\left(c\,x\right)\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int(acosh(c*x)*(d + e*x)^2, x)","F"
3,1,68,97,0.705729,"\text{Not used}","int(acosh(c*x)*(d + e*x),x)","d\,x\,\mathrm{acosh}\left(c\,x\right)+e\,x\,\mathrm{acosh}\left(c\,x\right)\,\left(\frac{x}{2}-\frac{1}{4\,c^2\,x}\right)-\frac{d\,\sqrt{c\,x-1}\,\sqrt{c\,x+1}}{c}-\frac{e\,x\,\sqrt{c\,x-1}\,\sqrt{c\,x+1}}{4\,c}","Not used",1,"d*x*acosh(c*x) + e*x*acosh(c*x)*(x/2 - 1/(4*c^2*x)) - (d*(c*x - 1)^(1/2)*(c*x + 1)^(1/2))/c - (e*x*(c*x - 1)^(1/2)*(c*x + 1)^(1/2))/(4*c)","B"
4,0,-1,178,0.000000,"\text{Not used}","int(acosh(c*x)/(d + e*x),x)","\int \frac{\mathrm{acosh}\left(c\,x\right)}{d+e\,x} \,d x","Not used",1,"int(acosh(c*x)/(d + e*x), x)","F"
5,0,-1,83,0.000000,"\text{Not used}","int(acosh(c*x)/(d + e*x)^2,x)","\int \frac{\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(acosh(c*x)/(d + e*x)^2, x)","F"
6,0,-1,132,0.000000,"\text{Not used}","int(acosh(c*x)/(d + e*x)^3,x)","\int \frac{\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(acosh(c*x)/(d + e*x)^3, x)","F"
7,0,-1,195,0.000000,"\text{Not used}","int(acosh(c*x)/(d + e*x)^4,x)","\int \frac{\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(acosh(c*x)/(d + e*x)^4, x)","F"
8,0,-1,334,0.000000,"\text{Not used}","int(acosh(c*x)^2*(d + e*x)^3,x)","\int {\mathrm{acosh}\left(c\,x\right)}^2\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int(acosh(c*x)^2*(d + e*x)^3, x)","F"
9,0,-1,215,0.000000,"\text{Not used}","int(acosh(c*x)^2*(d + e*x)^2,x)","\int {\mathrm{acosh}\left(c\,x\right)}^2\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int(acosh(c*x)^2*(d + e*x)^2, x)","F"
10,0,-1,122,0.000000,"\text{Not used}","int(acosh(c*x)^2*(d + e*x),x)","\int {\mathrm{acosh}\left(c\,x\right)}^2\,\left(d+e\,x\right) \,d x","Not used",1,"int(acosh(c*x)^2*(d + e*x), x)","F"
11,0,-1,272,0.000000,"\text{Not used}","int(acosh(c*x)^2/(d + e*x),x)","\int \frac{{\mathrm{acosh}\left(c\,x\right)}^2}{d+e\,x} \,d x","Not used",1,"int(acosh(c*x)^2/(d + e*x), x)","F"
12,0,-1,259,0.000000,"\text{Not used}","int(acosh(c*x)^2/(d + e*x)^2,x)","\int \frac{{\mathrm{acosh}\left(c\,x\right)}^2}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(acosh(c*x)^2/(d + e*x)^2, x)","F"
13,0,-1,352,0.000000,"\text{Not used}","int(acosh(c*x)^2/(d + e*x)^3,x)","\int \frac{{\mathrm{acosh}\left(c\,x\right)}^2}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(acosh(c*x)^2/(d + e*x)^3, x)","F"
14,0,-1,191,0.000000,"\text{Not used}","int((a + b*acosh(c*x))*(d + e*x)^3,x)","\int \left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int((a + b*acosh(c*x))*(d + e*x)^3, x)","F"
15,0,-1,132,0.000000,"\text{Not used}","int((a + b*acosh(c*x))*(d + e*x)^2,x)","\int \left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((a + b*acosh(c*x))*(d + e*x)^2, x)","F"
16,1,83,106,1.029168,"\text{Not used}","int((a + b*acosh(c*x))*(d + e*x),x)","\frac{a\,x\,\left(2\,d+e\,x\right)}{2}+b\,d\,x\,\mathrm{acosh}\left(c\,x\right)+b\,e\,x\,\mathrm{acosh}\left(c\,x\right)\,\left(\frac{x}{2}-\frac{1}{4\,c^2\,x}\right)-\frac{b\,d\,\sqrt{c\,x-1}\,\sqrt{c\,x+1}}{c}-\frac{b\,e\,x\,\sqrt{c\,x-1}\,\sqrt{c\,x+1}}{4\,c}","Not used",1,"(a*x*(2*d + e*x))/2 + b*d*x*acosh(c*x) + b*e*x*acosh(c*x)*(x/2 - 1/(4*c^2*x)) - (b*d*(c*x - 1)^(1/2)*(c*x + 1)^(1/2))/c - (b*e*x*(c*x - 1)^(1/2)*(c*x + 1)^(1/2))/(4*c)","B"
17,0,-1,195,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/(d + e*x),x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*acosh(c*x))/(d + e*x), x)","F"
18,0,-1,88,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/(d + e*x)^2,x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c*x))/(d + e*x)^2, x)","F"
19,0,-1,138,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/(d + e*x)^3,x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c*x))/(d + e*x)^3, x)","F"
20,0,-1,202,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/(d + e*x)^4,x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int((a + b*acosh(c*x))/(d + e*x)^4, x)","F"
21,0,-1,398,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2*(d + e*x)^3,x)","\int {\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int((a + b*acosh(c*x))^2*(d + e*x)^3, x)","F"
22,0,-1,259,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2*(d + e*x)^2,x)","\int {\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((a + b*acosh(c*x))^2*(d + e*x)^2, x)","F"
23,0,-1,150,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2*(d + e*x),x)","\int {\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,\left(d+e\,x\right) \,d x","Not used",1,"int((a + b*acosh(c*x))^2*(d + e*x), x)","F"
24,0,-1,303,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2/(d + e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((a + b*acosh(c*x))^2/(d + e*x), x)","F"
25,0,-1,279,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2/(d + e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c*x))^2/(d + e*x)^2, x)","F"
26,0,-1,380,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2/(d + e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c*x))^2/(d + e*x)^3, x)","F"
27,0,-1,394,0.000000,"\text{Not used}","int((d + e*x)^3/(a + b*acosh(c*x)),x)","\int \frac{{\left(d+e\,x\right)}^3}{a+b\,\mathrm{acosh}\left(c\,x\right)} \,d x","Not used",1,"int((d + e*x)^3/(a + b*acosh(c*x)), x)","F"
28,0,-1,245,0.000000,"\text{Not used}","int((d + e*x)^2/(a + b*acosh(c*x)),x)","\int \frac{{\left(d+e\,x\right)}^2}{a+b\,\mathrm{acosh}\left(c\,x\right)} \,d x","Not used",1,"int((d + e*x)^2/(a + b*acosh(c*x)), x)","F"
29,0,-1,116,0.000000,"\text{Not used}","int((d + e*x)/(a + b*acosh(c*x)),x)","\int \frac{d+e\,x}{a+b\,\mathrm{acosh}\left(c\,x\right)} \,d x","Not used",1,"int((d + e*x)/(a + b*acosh(c*x)), x)","F"
30,0,-1,21,0.000000,"\text{Not used}","int(1/((a + b*acosh(c*x))*(d + e*x)),x)","\int \frac{1}{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\left(d+e\,x\right)} \,d x","Not used",0,"int(1/((a + b*acosh(c*x))*(d + e*x)), x)","F"
31,0,-1,21,0.000000,"\text{Not used}","int(1/((a + b*acosh(c*x))*(d + e*x)^2),x)","\int \frac{1}{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d+e\,x\right)}^2} \,d x","Not used",0,"int(1/((a + b*acosh(c*x))*(d + e*x)^2), x)","F"
32,0,-1,374,0.000000,"\text{Not used}","int((d + e*x)^2/(a + b*acosh(c*x))^2,x)","\int \frac{{\left(d+e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2} \,d x","Not used",1,"int((d + e*x)^2/(a + b*acosh(c*x))^2, x)","F"
33,0,-1,190,0.000000,"\text{Not used}","int((d + e*x)/(a + b*acosh(c*x))^2,x)","\int \frac{d+e\,x}{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2} \,d x","Not used",1,"int((d + e*x)/(a + b*acosh(c*x))^2, x)","F"
34,0,-1,21,0.000000,"\text{Not used}","int(1/((a + b*acosh(c*x))^2*(d + e*x)),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,\left(d+e\,x\right)} \,d x","Not used",0,"int(1/((a + b*acosh(c*x))^2*(d + e*x)), x)","F"
35,0,-1,21,0.000000,"\text{Not used}","int(1/((a + b*acosh(c*x))^2*(d + e*x)^2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^2} \,d x","Not used",0,"int(1/((a + b*acosh(c*x))^2*(d + e*x)^2), x)","F"
36,0,-1,82,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^3*(d + e*x)^m,x)","\int {\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^3\,{\left(d+e\,x\right)}^m \,d x","Not used",0,"int((a + b*acosh(c*x))^3*(d + e*x)^m, x)","F"
37,0,-1,80,0.000000,"\text{Not used}","int((a + b*acosh(c*x))^2*(d + e*x)^m,x)","\int {\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^m \,d x","Not used",0,"int((a + b*acosh(c*x))^2*(d + e*x)^m, x)","F"
38,0,-1,125,0.000000,"\text{Not used}","int((a + b*acosh(c*x))*(d + e*x)^m,x)","\int \left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int((a + b*acosh(c*x))*(d + e*x)^m, x)","F"
39,0,-1,21,0.000000,"\text{Not used}","int((d + e*x)^m/(a + b*acosh(c*x)),x)","\int \frac{{\left(d+e\,x\right)}^m}{a+b\,\mathrm{acosh}\left(c\,x\right)} \,d x","Not used",0,"int((d + e*x)^m/(a + b*acosh(c*x)), x)","F"
40,0,-1,21,0.000000,"\text{Not used}","int((d + e*x)^m/(a + b*acosh(c*x))^2,x)","\int \frac{{\left(d+e\,x\right)}^m}{{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2} \,d x","Not used",0,"int((d + e*x)^m/(a + b*acosh(c*x))^2, x)","F"
41,0,-1,370,0.000000,"\text{Not used}","int(acosh(a*x)*(c + d*x^2)^4,x)","\int \mathrm{acosh}\left(a\,x\right)\,{\left(d\,x^2+c\right)}^4 \,d x","Not used",1,"int(acosh(a*x)*(c + d*x^2)^4, x)","F"
42,0,-1,267,0.000000,"\text{Not used}","int(acosh(a*x)*(c + d*x^2)^3,x)","\int \mathrm{acosh}\left(a\,x\right)\,{\left(d\,x^2+c\right)}^3 \,d x","Not used",1,"int(acosh(a*x)*(c + d*x^2)^3, x)","F"
43,0,-1,181,0.000000,"\text{Not used}","int(acosh(a*x)*(c + d*x^2)^2,x)","\int \mathrm{acosh}\left(a\,x\right)\,{\left(d\,x^2+c\right)}^2 \,d x","Not used",1,"int(acosh(a*x)*(c + d*x^2)^2, x)","F"
44,0,-1,84,0.000000,"\text{Not used}","int(acosh(a*x)*(c + d*x^2),x)","\int \mathrm{acosh}\left(a\,x\right)\,\left(d\,x^2+c\right) \,d x","Not used",1,"int(acosh(a*x)*(c + d*x^2), x)","F"
45,0,-1,481,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2), x)","F"
46,0,-1,774,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^2,x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2)^2, x)","F"
47,0,-1,19,0.000000,"\text{Not used}","int(acosh(a*x)*(c + d*x^2)^(1/2),x)","\int \mathrm{acosh}\left(a\,x\right)\,\sqrt{d\,x^2+c} \,d x","Not used",0,"int(acosh(a*x)*(c + d*x^2)^(1/2), x)","F"
48,0,-1,19,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^(1/2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{\sqrt{d\,x^2+c}} \,d x","Not used",0,"int(acosh(a*x)/(c + d*x^2)^(1/2), x)","F"
49,0,-1,96,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^(3/2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2)^(3/2), x)","F"
50,0,-1,180,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^(5/2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2)^(5/2), x)","F"
51,0,-1,269,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^(7/2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2)^(7/2), x)","F"
52,0,-1,369,0.000000,"\text{Not used}","int(acosh(a*x)/(c + d*x^2)^(9/2),x)","\int \frac{\mathrm{acosh}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{9/2}} \,d x","Not used",1,"int(acosh(a*x)/(c + d*x^2)^(9/2), x)","F"
53,0,-1,713,0.000000,"\text{Not used}","int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2),x)","\int {\left(f+g\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{d-c^2\,d\,x^2} \,d x","Not used",1,"int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2), x)","F"
54,0,-1,479,0.000000,"\text{Not used}","int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2),x)","\int {\left(f+g\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{d-c^2\,d\,x^2} \,d x","Not used",1,"int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2), x)","F"
55,0,-1,255,0.000000,"\text{Not used}","int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2),x)","\int \left(f+g\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{d-c^2\,d\,x^2} \,d x","Not used",1,"int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2), x)","F"
56,0,-1,785,0.000000,"\text{Not used}","int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2))/(f + g*x),x)","\int \frac{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{d-c^2\,d\,x^2}}{f+g\,x} \,d x","Not used",1,"int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2))/(f + g*x), x)","F"
57,0,-1,918,0.000000,"\text{Not used}","int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2))/(f + g*x)^2,x)","\int \frac{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{d-c^2\,d\,x^2}}{{\left(f+g\,x\right)}^2} \,d x","Not used",1,"int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(1/2))/(f + g*x)^2, x)","F"
58,0,-1,1029,0.000000,"\text{Not used}","int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2),x)","\int {\left(f+g\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2), x)","F"
59,0,-1,725,0.000000,"\text{Not used}","int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2),x)","\int {\left(f+g\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2), x)","F"
60,0,-1,398,0.000000,"\text{Not used}","int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2),x)","\int \left(f+g\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2), x)","F"
61,0,-1,1270,0.000000,"\text{Not used}","int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2))/(f + g*x),x)","\int \frac{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{3/2}}{f+g\,x} \,d x","Not used",1,"int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(3/2))/(f + g*x), x)","F"
62,0,-1,1385,0.000000,"\text{Not used}","int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2),x)","\int {\left(f+g\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)^3*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2), x)","F"
63,0,-1,1015,0.000000,"\text{Not used}","int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2),x)","\int {\left(f+g\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)^2*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2), x)","F"
64,0,-1,568,0.000000,"\text{Not used}","int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2),x)","\int \left(f+g\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)*(a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2), x)","F"
65,0,-1,1744,0.000000,"\text{Not used}","int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2))/(f + g*x),x)","\int \frac{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,{\left(d-c^2\,d\,x^2\right)}^{5/2}}{f+g\,x} \,d x","Not used",1,"int(((a + b*acosh(c*x))*(d - c^2*d*x^2)^(5/2))/(f + g*x), x)","F"
66,0,-1,478,0.000000,"\text{Not used}","int(((f + g*x)^3*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2),x)","\int \frac{{\left(f+g\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{\sqrt{d-c^2\,d\,x^2}} \,d x","Not used",1,"int(((f + g*x)^3*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2), x)","F"
67,0,-1,288,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{\sqrt{d-c^2\,d\,x^2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2), x)","F"
68,0,-1,136,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{\sqrt{d-c^2\,d\,x^2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(1/2), x)","F"
69,0,-1,365,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/((f + g*x)*(d - c^2*d*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{\left(f+g\,x\right)\,\sqrt{d-c^2\,d\,x^2}} \,d x","Not used",1,"int((a + b*acosh(c*x))/((f + g*x)*(d - c^2*d*x^2)^(1/2)), x)","F"
70,0,-1,523,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/((f + g*x)^2*(d - c^2*d*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{{\left(f+g\,x\right)}^2\,\sqrt{d-c^2\,d\,x^2}} \,d x","Not used",1,"int((a + b*acosh(c*x))/((f + g*x)^2*(d - c^2*d*x^2)^(1/2)), x)","F"
71,0,-1,549,0.000000,"\text{Not used}","int(((f + g*x)^3*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2),x)","\int \frac{{\left(f+g\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{{\left(d-c^2\,d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)^3*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2), x)","F"
72,0,-1,459,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{{\left(d-c^2\,d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2), x)","F"
73,0,-1,142,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{{\left(d-c^2\,d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*acosh(c*x)))/(d - c^2*d*x^2)^(3/2), x)","F"
74,0,-1,773,0.000000,"\text{Not used}","int((a + b*acosh(c*x))/((f + g*x)*(d - c^2*d*x^2)^(3/2)),x)","\int \frac{a+b\,\mathrm{acosh}\left(c\,x\right)}{\left(f+g\,x\right)\,{\left(d-c^2\,d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*acosh(c*x))/((f + g*x)*(d - c^2*d*x^2)^(3/2)), x)","F"
75,0,-1,239,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*acosh(c*x))^n)/(1 - c^2*x^2)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^n}{\sqrt{1-c^2\,x^2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*acosh(c*x))^n)/(1 - c^2*x^2)^(1/2), x)","F"
76,0,-1,200,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*acosh(c*x))^n)/((1 - c*x)^(1/2)*(c*x + 1)^(1/2)),x)","\int \frac{\left(f+g\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^n}{\sqrt{1-c\,x}\,\sqrt{c\,x+1}} \,d x","Not used",1,"int(((f + g*x)*(a + b*acosh(c*x))^n)/((1 - c*x)^(1/2)*(c*x + 1)^(1/2)), x)","F"
77,0,-1,260,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*acosh(c*x))^n)/((d1 + c*d1*x)^(1/2)*(d2 - c*d2*x)^(1/2)),x)","\int \frac{\left(f+g\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^n}{\sqrt{d_{1}+c\,d_{1}\,x}\,\sqrt{d_{2}-c\,d_{2}\,x}} \,d x","Not used",1,"int(((f + g*x)*(a + b*acosh(c*x))^n)/((d1 + c*d1*x)^(1/2)*(d2 - c*d2*x)^(1/2)), x)","F"
78,0,-1,75,0.000000,"\text{Not used}","int((log(h*(f + g*x)^m)*(a + b*acosh(c*x))^n)/(1 - c^2*x^2)^(1/2),x)","\int \frac{\ln\left(h\,{\left(f+g\,x\right)}^m\right)\,{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^n}{\sqrt{1-c^2\,x^2}} \,d x","Not used",0,"int((log(h*(f + g*x)^m)*(a + b*acosh(c*x))^n)/(1 - c^2*x^2)^(1/2), x)","F"
79,0,-1,774,0.000000,"\text{Not used}","int((log(h*(f + g*x)^m)*(a + b*acosh(c*x))^2)/(1 - c^2*x^2)^(1/2),x)","\int \frac{\ln\left(h\,{\left(f+g\,x\right)}^m\right)\,{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}^2}{\sqrt{1-c^2\,x^2}} \,d x","Not used",1,"int((log(h*(f + g*x)^m)*(a + b*acosh(c*x))^2)/(1 - c^2*x^2)^(1/2), x)","F"
80,0,-1,600,0.000000,"\text{Not used}","int((log(h*(f + g*x)^m)*(a + b*acosh(c*x)))/(1 - c^2*x^2)^(1/2),x)","\int \frac{\ln\left(h\,{\left(f+g\,x\right)}^m\right)\,\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)}{\sqrt{1-c^2\,x^2}} \,d x","Not used",1,"int((log(h*(f + g*x)^m)*(a + b*acosh(c*x)))/(1 - c^2*x^2)^(1/2), x)","F"
81,0,-1,237,0.000000,"\text{Not used}","int(log(h*(f + g*x)^m)/(1 - c^2*x^2)^(1/2),x)","\int \frac{\ln\left(h\,{\left(f+g\,x\right)}^m\right)}{\sqrt{1-c^2\,x^2}} \,d x","Not used",1,"int(log(h*(f + g*x)^m)/(1 - c^2*x^2)^(1/2), x)","F"
82,0,-1,75,0.000000,"\text{Not used}","int(log(h*(f + g*x)^m)/((a + b*acosh(c*x))*(1 - c^2*x^2)^(1/2)),x)","\int \frac{\ln\left(h\,{\left(f+g\,x\right)}^m\right)}{\left(a+b\,\mathrm{acosh}\left(c\,x\right)\right)\,\sqrt{1-c^2\,x^2}} \,d x","Not used",0,"int(log(h*(f + g*x)^m)/((a + b*acosh(c*x))*(1 - c^2*x^2)^(1/2)), x)","F"
83,0,-1,152,0.000000,"\text{Not used}","int(x^3*acosh(a + b*x),x)","\int x^3\,\mathrm{acosh}\left(a+b\,x\right) \,d x","Not used",1,"int(x^3*acosh(a + b*x), x)","F"
84,0,-1,104,0.000000,"\text{Not used}","int(x^2*acosh(a + b*x),x)","\int x^2\,\mathrm{acosh}\left(a+b\,x\right) \,d x","Not used",1,"int(x^2*acosh(a + b*x), x)","F"
85,0,-1,90,0.000000,"\text{Not used}","int(x*acosh(a + b*x),x)","\int x\,\mathrm{acosh}\left(a+b\,x\right) \,d x","Not used",1,"int(x*acosh(a + b*x), x)","F"
86,1,266,41,3.997767,"\text{Not used}","int(acosh(a + b*x),x)","x\,\mathrm{acosh}\left(a+b\,x\right)-\frac{\frac{4\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{b\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}+\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3}{b\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\sqrt{a-1}\,\sqrt{a+1}}{b\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}}{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+1}+\frac{4\,a\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)}{b}","Not used",1,"x*acosh(a + b*x) - ((4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(b*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))) + (4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3)/(b*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) - (8*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(a - 1)^(1/2)*(a + 1)^(1/2))/(b*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2))/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 - (2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + 1) + (4*a*atanh(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))))/b","B"
87,0,-1,131,0.000000,"\text{Not used}","int(acosh(a + b*x)/x,x)","\int \frac{\mathrm{acosh}\left(a+b\,x\right)}{x} \,d x","Not used",1,"int(acosh(a + b*x)/x, x)","F"
88,0,-1,64,0.000000,"\text{Not used}","int(acosh(a + b*x)/x^2,x)","\int \frac{\mathrm{acosh}\left(a+b\,x\right)}{x^2} \,d x","Not used",1,"int(acosh(a + b*x)/x^2, x)","F"
89,0,-1,106,0.000000,"\text{Not used}","int(acosh(a + b*x)/x^3,x)","\int \frac{\mathrm{acosh}\left(a+b\,x\right)}{x^3} \,d x","Not used",1,"int(acosh(a + b*x)/x^3, x)","F"
90,0,-1,154,0.000000,"\text{Not used}","int(acosh(a + b*x)/x^4,x)","\int \frac{\mathrm{acosh}\left(a+b\,x\right)}{x^4} \,d x","Not used",1,"int(acosh(a + b*x)/x^4, x)","F"
91,0,-1,92,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^(1/2), x)","F"
92,0,-1,94,0.000000,"\text{Not used}","int(1/(a - b*acosh(c + d*x))^(1/2),x)","\int \frac{1}{\sqrt{a-b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(a - b*acosh(c + d*x))^(1/2), x)","F"
93,0,-1,135,0.000000,"\text{Not used}","int((c*e + d*e*x)^4*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^4\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^4*(a + b*acosh(c + d*x)), x)","F"
94,0,-1,119,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^3\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x)), x)","F"
95,0,-1,97,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^2\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x)), x)","F"
96,0,-1,75,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x)),x)","\int \left(c\,e+d\,e\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x)), x)","F"
97,1,272,46,3.961616,"\text{Not used}","int(a + b*acosh(c + d*x),x)","a\,x+b\,x\,\mathrm{acosh}\left(c+d\,x\right)-\frac{b\,\left(\frac{4\,c\,\left(\sqrt{c-1}-\sqrt{c+d\,x-1}\right)}{d\,\left(\sqrt{c+1}-\sqrt{c+d\,x+1}\right)}+\frac{4\,c\,{\left(\sqrt{c-1}-\sqrt{c+d\,x-1}\right)}^3}{d\,{\left(\sqrt{c+1}-\sqrt{c+d\,x+1}\right)}^3}-\frac{8\,{\left(\sqrt{c-1}-\sqrt{c+d\,x-1}\right)}^2\,\sqrt{c-1}\,\sqrt{c+1}}{d\,{\left(\sqrt{c+1}-\sqrt{c+d\,x+1}\right)}^2}\right)}{\frac{{\left(\sqrt{c-1}-\sqrt{c+d\,x-1}\right)}^4}{{\left(\sqrt{c+1}-\sqrt{c+d\,x+1}\right)}^4}-\frac{2\,{\left(\sqrt{c-1}-\sqrt{c+d\,x-1}\right)}^2}{{\left(\sqrt{c+1}-\sqrt{c+d\,x+1}\right)}^2}+1}+\frac{4\,b\,c\,\mathrm{atanh}\left(\frac{\sqrt{c-1}-\sqrt{c+d\,x-1}}{\sqrt{c+1}-\sqrt{c+d\,x+1}}\right)}{d}","Not used",1,"a*x + b*x*acosh(c + d*x) - (b*((4*c*((c - 1)^(1/2) - (c + d*x - 1)^(1/2)))/(d*((c + 1)^(1/2) - (c + d*x + 1)^(1/2))) + (4*c*((c - 1)^(1/2) - (c + d*x - 1)^(1/2))^3)/(d*((c + 1)^(1/2) - (c + d*x + 1)^(1/2))^3) - (8*((c - 1)^(1/2) - (c + d*x - 1)^(1/2))^2*(c - 1)^(1/2)*(c + 1)^(1/2))/(d*((c + 1)^(1/2) - (c + d*x + 1)^(1/2))^2)))/(((c - 1)^(1/2) - (c + d*x - 1)^(1/2))^4/((c + 1)^(1/2) - (c + d*x + 1)^(1/2))^4 - (2*((c - 1)^(1/2) - (c + d*x - 1)^(1/2))^2)/((c + 1)^(1/2) - (c + d*x + 1)^(1/2))^2 + 1) + (4*b*c*atanh(((c - 1)^(1/2) - (c + d*x - 1)^(1/2))/((c + 1)^(1/2) - (c + d*x + 1)^(1/2))))/d","B"
98,0,-1,81,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x),x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x), x)","F"
99,0,-1,56,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^2,x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^2, x)","F"
100,0,-1,66,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^3,x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^3, x)","F"
101,0,-1,99,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^4,x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^4, x)","F"
102,0,-1,104,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^5,x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^5} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^5, x)","F"
103,0,-1,137,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^6,x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^6} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^6, x)","F"
104,0,-1,218,0.000000,"\text{Not used}","int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^4\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^2, x)","F"
105,0,-1,186,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^3\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^2, x)","F"
106,0,-1,150,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^2, x)","F"
107,0,-1,110,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^2,x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^2, x)","F"
108,0,-1,64,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2,x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2, x)","F"
109,0,-1,118,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x), x)","F"
110,0,-1,110,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^2, x)","F"
111,0,-1,92,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^3, x)","F"
112,0,-1,186,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^4, x)","F"
113,0,-1,382,0.000000,"\text{Not used}","int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^4\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^3, x)","F"
114,0,-1,307,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^3\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^3, x)","F"
115,0,-1,262,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^3, x)","F"
116,0,-1,175,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^3,x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^3, x)","F"
117,0,-1,114,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3,x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*acosh(c + d*x))^3, x)","F"
118,0,-1,159,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x), x)","F"
119,0,-1,186,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^2, x)","F"
120,0,-1,164,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^3, x)","F"
121,0,-1,297,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^4, x)","F"
122,0,-1,377,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^4,x)","\int {\left(c\,e+d\,e\,x\right)}^3\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^4, x)","F"
123,0,-1,309,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^4,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^4, x)","F"
124,0,-1,209,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^4,x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^4, x)","F"
125,0,-1,129,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4,x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",1,"int((a + b*acosh(c + d*x))^4, x)","F"
126,0,-1,192,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x), x)","F"
127,0,-1,264,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^2, x)","F"
128,0,-1,195,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^3, x)","F"
129,0,-1,432,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^4, x)","F"
130,0,-1,213,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x)),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x)), x)","F"
131,0,-1,145,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x)),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x)), x)","F"
132,0,-1,141,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x)),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x)), x)","F"
133,0,-1,69,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x)),x)","\int \frac{c\,e+d\,e\,x}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x)), x)","F"
134,0,-1,58,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x)),x)","\int \frac{1}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x)), x)","F"
135,0,-1,27,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))), x)","F"
136,0,-1,263,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^2,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^2, x)","F"
137,0,-1,195,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^2,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^2, x)","F"
138,0,-1,191,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^2,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^2, x)","F"
139,0,-1,110,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^2,x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^2, x)","F"
140,0,-1,98,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^2,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^2, x)","F"
141,0,-1,27,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^2),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^2), x)","F"
142,0,-1,327,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^3,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^3, x)","F"
143,0,-1,254,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^3,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^3, x)","F"
144,0,-1,252,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^3,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^3, x)","F"
145,0,-1,163,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^3,x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^3, x)","F"
146,0,-1,132,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^3,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^3, x)","F"
147,0,-1,27,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^3),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^3), x)","F"
148,0,-1,431,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^4,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^4, x)","F"
149,0,-1,360,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^4,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^4, x)","F"
150,0,-1,352,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^4,x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^4, x)","F"
151,0,-1,218,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^4,x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^4, x)","F"
152,0,-1,174,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^4,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^4, x)","F"
153,0,-1,27,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^4),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^4), x)","F"
154,0,-1,361,0.000000,"\text{Not used}","int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^(1/2),x)","\int {\left(c\,e+d\,e\,x\right)}^4\,\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^4*(a + b*acosh(c + d*x))^(1/2), x)","F"
155,0,-1,272,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(1/2),x)","\int {\left(c\,e+d\,e\,x\right)}^3\,\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(1/2), x)","F"
156,0,-1,245,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(1/2),x)","\int {\left(c\,e+d\,e\,x\right)}^2\,\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(1/2), x)","F"
157,0,-1,164,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(1/2),x)","\int \left(c\,e+d\,e\,x\right)\,\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(1/2), x)","F"
158,0,-1,115,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(1/2),x)","\int \sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^(1/2), x)","F"
159,0,-1,29,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(1/2)/(c*e + d*e*x),x)","\int \frac{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}}{c\,e+d\,e\,x} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^(1/2)/(c*e + d*e*x), x)","F"
160,0,-1,374,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(3/2),x)","\int {\left(c\,e+d\,e\,x\right)}^3\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(3/2), x)","F"
161,0,-1,342,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(3/2),x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(3/2), x)","F"
162,0,-1,212,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(3/2),x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(3/2), x)","F"
163,0,-1,157,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(3/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^(3/2), x)","F"
164,0,-1,29,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(3/2)/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}}{c\,e+d\,e\,x} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^(3/2)/(c*e + d*e*x), x)","F"
165,0,-1,469,0.000000,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(5/2),x)","\int {\left(c\,e+d\,e\,x\right)}^3\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((c*e + d*e*x)^3*(a + b*acosh(c + d*x))^(5/2), x)","F"
166,0,-1,408,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(5/2),x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(5/2), x)","F"
167,0,-1,269,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(5/2),x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(5/2), x)","F"
168,0,-1,186,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(5/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^(5/2), x)","F"
169,0,-1,29,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(5/2)/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}}{c\,e+d\,e\,x} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^(5/2)/(c*e + d*e*x), x)","F"
170,0,-1,509,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(7/2),x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*acosh(c + d*x))^(7/2), x)","F"
171,0,-1,319,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(7/2),x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*acosh(c + d*x))^(7/2), x)","F"
172,0,-1,230,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(7/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^(7/2), x)","F"
173,0,-1,29,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^(7/2)/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}}{c\,e+d\,e\,x} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^(7/2)/(c*e + d*e*x), x)","F"
174,0,-1,326,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(1/2), x)","F"
175,0,-1,217,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(1/2), x)","F"
176,0,-1,214,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(1/2), x)","F"
177,0,-1,113,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{c\,e+d\,e\,x}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(1/2), x)","F"
178,0,-1,92,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^(1/2), x)","F"
179,0,-1,29,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(1/2)),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,\sqrt{a+b\,\mathrm{acosh}\left(c+d\,x\right)}} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(1/2)), x)","F"
180,0,-1,374,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(3/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(3/2), x)","F"
181,0,-1,269,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(3/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(3/2), x)","F"
182,0,-1,262,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(3/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(3/2), x)","F"
183,0,-1,155,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(3/2),x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(3/2), x)","F"
184,0,-1,128,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^(3/2), x)","F"
185,0,-1,29,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(3/2)),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(3/2)), x)","F"
186,0,-1,444,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(5/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(5/2), x)","F"
187,0,-1,333,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(5/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(5/2), x)","F"
188,0,-1,328,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(5/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(5/2), x)","F"
189,0,-1,216,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(5/2),x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(5/2), x)","F"
190,0,-1,165,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^(5/2), x)","F"
191,0,-1,29,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(5/2)),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(5/2)), x)","F"
192,0,-1,552,0.000000,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(7/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^4}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*e + d*e*x)^4/(a + b*acosh(c + d*x))^(7/2), x)","F"
193,0,-1,441,0.000000,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(7/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^3}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*e + d*e*x)^3/(a + b*acosh(c + d*x))^(7/2), x)","F"
194,0,-1,431,0.000000,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(7/2),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^2}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*e + d*e*x)^2/(a + b*acosh(c + d*x))^(7/2), x)","F"
195,0,-1,266,0.000000,"\text{Not used}","int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(7/2),x)","\int \frac{c\,e+d\,e\,x}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*e + d*e*x)/(a + b*acosh(c + d*x))^(7/2), x)","F"
196,0,-1,209,0.000000,"\text{Not used}","int(1/(a + b*acosh(c + d*x))^(7/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b*acosh(c + d*x))^(7/2), x)","F"
197,0,-1,29,0.000000,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(7/2)),x)","\int \frac{1}{\left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",0,"int(1/((c*e + d*e*x)*(a + b*acosh(c + d*x))^(7/2)), x)","F"
198,0,-1,189,0.000000,"\text{Not used}","int((c*e + d*e*x)^(7/2)*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^{7/2}\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^(7/2)*(a + b*acosh(c + d*x)), x)","F"
199,0,-1,169,0.000000,"\text{Not used}","int((c*e + d*e*x)^(5/2)*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^{5/2}\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^(5/2)*(a + b*acosh(c + d*x)), x)","F"
200,0,-1,145,0.000000,"\text{Not used}","int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^{3/2}\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x)), x)","F"
201,0,-1,127,0.000000,"\text{Not used}","int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x)),x)","\int \sqrt{c\,e+d\,e\,x}\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x)), x)","F"
202,0,-1,104,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(1/2),x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{\sqrt{c\,e+d\,e\,x}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(1/2), x)","F"
203,0,-1,84,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(3/2),x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(3/2), x)","F"
204,0,-1,150,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(5/2),x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(5/2), x)","F"
205,0,-1,130,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(7/2),x)","\int \frac{a+b\,\mathrm{acosh}\left(c+d\,x\right)}{{\left(c\,e+d\,e\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))/(c*e + d*e*x)^(7/2), x)","F"
206,0,-1,153,0.000000,"\text{Not used}","int((c*e + d*e*x)^(7/2)*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^{7/2}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^(7/2)*(a + b*acosh(c + d*x))^2, x)","F"
207,0,-1,153,0.000000,"\text{Not used}","int((c*e + d*e*x)^(5/2)*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^{5/2}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^(5/2)*(a + b*acosh(c + d*x))^2, x)","F"
208,0,-1,153,0.000000,"\text{Not used}","int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^2, x)","F"
209,0,-1,153,0.000000,"\text{Not used}","int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^2,x)","\int \sqrt{c\,e+d\,e\,x}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^2, x)","F"
210,0,-1,151,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{\sqrt{c\,e+d\,e\,x}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(1/2), x)","F"
211,0,-1,149,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(3/2), x)","F"
212,0,-1,153,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(5/2), x)","F"
213,0,-1,153,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*acosh(c + d*x))^2/(c*e + d*e*x)^(7/2), x)","F"
214,0,-1,89,0.000000,"\text{Not used}","int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^3, x)","F"
215,0,-1,87,0.000000,"\text{Not used}","int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^3,x)","\int \sqrt{c\,e+d\,e\,x}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^3, x)","F"
216,0,-1,85,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{\sqrt{c\,e+d\,e\,x}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(1/2), x)","F"
217,0,-1,85,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^{3/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(3/2), x)","F"
218,0,-1,87,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^{5/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(5/2), x)","F"
219,0,-1,89,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^{7/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^3/(c*e + d*e*x)^(7/2), x)","F"
220,0,-1,89,0.000000,"\text{Not used}","int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^4,x)","\int {\left(c\,e+d\,e\,x\right)}^{3/2}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",0,"int((c*e + d*e*x)^(3/2)*(a + b*acosh(c + d*x))^4, x)","F"
221,0,-1,89,0.000000,"\text{Not used}","int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^4,x)","\int \sqrt{c\,e+d\,e\,x}\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",0,"int((c*e + d*e*x)^(1/2)*(a + b*acosh(c + d*x))^4, x)","F"
222,0,-1,85,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{\sqrt{c\,e+d\,e\,x}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(1/2), x)","F"
223,0,-1,85,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^{3/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(3/2), x)","F"
224,0,-1,89,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^{5/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(5/2), x)","F"
225,0,-1,89,0.000000,"\text{Not used}","int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4}{{\left(c\,e+d\,e\,x\right)}^{7/2}} \,d x","Not used",0,"int((a + b*acosh(c + d*x))^4/(c*e + d*e*x)^(7/2), x)","F"
226,0,-1,94,0.000000,"\text{Not used}","int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^4,x)","\int {\left(c\,e+d\,e\,x\right)}^m\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^4 \,d x","Not used",0,"int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^4, x)","F"
227,0,-1,94,0.000000,"\text{Not used}","int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^m\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^3, x)","F"
228,0,-1,206,0.000000,"\text{Not used}","int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^m\,{\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^m*(a + b*acosh(c + d*x))^2, x)","F"
229,0,-1,118,0.000000,"\text{Not used}","int((c*e + d*e*x)^m*(a + b*acosh(c + d*x)),x)","\int {\left(c\,e+d\,e\,x\right)}^m\,\left(a+b\,\mathrm{acosh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((c*e + d*e*x)^m*(a + b*acosh(c + d*x)), x)","F"
230,0,-1,25,0.000000,"\text{Not used}","int((c*e + d*e*x)^m/(a + b*acosh(c + d*x)),x)","\int \frac{{\left(c\,e+d\,e\,x\right)}^m}{a+b\,\mathrm{acosh}\left(c+d\,x\right)} \,d x","Not used",0,"int((c*e + d*e*x)^m/(a + b*acosh(c + d*x)), x)","F"
231,0,-1,54,0.000000,"\text{Not used}","int(acosh(a*x^5)/x,x)","\int \frac{\mathrm{acosh}\left(a\,x^5\right)}{x} \,d x","Not used",1,"int(acosh(a*x^5)/x, x)","F"
232,0,-1,117,0.000000,"\text{Not used}","int(x^2*acosh(x^(1/2)),x)","\int x^2\,\mathrm{acosh}\left(\sqrt{x}\right) \,d x","Not used",1,"int(x^2*acosh(x^(1/2)), x)","F"
233,0,-1,86,0.000000,"\text{Not used}","int(x*acosh(x^(1/2)),x)","\int x\,\mathrm{acosh}\left(\sqrt{x}\right) \,d x","Not used",1,"int(x*acosh(x^(1/2)), x)","F"
234,1,40,50,1.429198,"\text{Not used}","int(acosh(x^(1/2)),x)","-2\,\sqrt{x}\,\mathrm{acosh}\left(\sqrt{x}\right)\,\left(\frac{1}{4\,\sqrt{x}}-\frac{\sqrt{x}}{2}\right)-\frac{\sqrt{x}\,\sqrt{\sqrt{x}-1}\,\sqrt{\sqrt{x}+1}}{2}","Not used",1,"- 2*x^(1/2)*acosh(x^(1/2))*(1/(4*x^(1/2)) - x^(1/2)/2) - (x^(1/2)*(x^(1/2) - 1)^(1/2)*(x^(1/2) + 1)^(1/2))/2","B"
235,0,-1,46,0.000000,"\text{Not used}","int(acosh(x^(1/2))/x,x)","\int \frac{\mathrm{acosh}\left(\sqrt{x}\right)}{x} \,d x","Not used",1,"int(acosh(x^(1/2))/x, x)","F"
236,0,-1,40,0.000000,"\text{Not used}","int(acosh(x^(1/2))/x^2,x)","\int \frac{\mathrm{acosh}\left(\sqrt{x}\right)}{x^2} \,d x","Not used",1,"int(acosh(x^(1/2))/x^2, x)","F"
237,0,-1,76,0.000000,"\text{Not used}","int(acosh(x^(1/2))/x^3,x)","\int \frac{\mathrm{acosh}\left(\sqrt{x}\right)}{x^3} \,d x","Not used",1,"int(acosh(x^(1/2))/x^3, x)","F"
238,1,23,24,0.369410,"\text{Not used}","int(acosh(1/x),x)","\mathrm{atan}\left(\frac{1}{\sqrt{\frac{1}{x}-1}\,\sqrt{\frac{1}{x}+1}}\right)+x\,\mathrm{acosh}\left(\frac{1}{x}\right)","Not used",1,"atan(1/((1/x - 1)^(1/2)*(1/x + 1)^(1/2))) + x*acosh(1/x)","B"
239,0,-1,60,0.000000,"\text{Not used}","int(acosh(a*x^n)/x,x)","\int \frac{\mathrm{acosh}\left(a\,x^n\right)}{x} \,d x","Not used",1,"int(acosh(a*x^n)/x, x)","F"
240,0,-1,145,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^4,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^4 \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^4, x)","F"
241,0,-1,125,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^3,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^3 \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^3, x)","F"
242,0,-1,72,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^2,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^2 \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^2, x)","F"
243,1,32,49,0.591228,"\text{Not used}","int(a + b*acosh(d*x^2 + 1),x)","a\,x+b\,x\,\mathrm{acosh}\left(d\,x^2+1\right)-\frac{2\,b\,\mathrm{sign}\left(x\right)\,\sqrt{d\,x^2+2}}{\sqrt{d}}","Not used",1,"a*x + b*x*acosh(d*x^2 + 1) - (2*b*sign(x)*(d*x^2 + 2)^(1/2))/d^(1/2)","B"
244,0,-1,98,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1)),x)","\int \frac{1}{a+b\,\mathrm{acosh}\left(d\,x^2+1\right)} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1)), x)","F"
245,0,-1,150,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^2,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^2} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^2, x)","F"
246,0,-1,180,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^3,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^3} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^3, x)","F"
247,0,-1,147,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^4,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^4 \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^4, x)","F"
248,0,-1,110,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^3,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^3 \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^3, x)","F"
249,0,-1,73,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^2,x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^2 \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^2, x)","F"
250,1,32,33,1.525215,"\text{Not used}","int(a + b*acosh(d*x^2 - 1),x)","a\,x+b\,x\,\mathrm{acosh}\left(d\,x^2-1\right)-\frac{2\,b\,\mathrm{sign}\left(x\right)\,\sqrt{d\,x^2-2}}{\sqrt{d}}","Not used",1,"a*x + b*x*acosh(d*x^2 - 1) - (2*b*sign(x)*(d*x^2 - 2)^(1/2))/d^(1/2)","B"
251,0,-1,98,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1)),x)","\int \frac{1}{a+b\,\mathrm{acosh}\left(d\,x^2-1\right)} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1)), x)","F"
252,0,-1,150,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^2,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^2} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^2, x)","F"
253,0,-1,181,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^3,x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^3} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^3, x)","F"
254,0,-1,280,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^(5/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^(5/2), x)","F"
255,0,-1,238,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^(3/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^(3/2), x)","F"
256,0,-1,205,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 + 1))^(1/2),x)","\int \sqrt{a+b\,\mathrm{acosh}\left(d\,x^2+1\right)} \,d x","Not used",1,"int((a + b*acosh(d*x^2 + 1))^(1/2), x)","F"
257,0,-1,165,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\mathrm{acosh}\left(d\,x^2+1\right)}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^(1/2), x)","F"
258,0,-1,213,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^(3/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^(3/2), x)","F"
259,0,-1,252,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^(5/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^(5/2), x)","F"
260,0,-1,301,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 + 1))^(7/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2+1\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 + 1))^(7/2), x)","F"
261,0,-1,281,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^(5/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^(5/2), x)","F"
262,0,-1,239,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^(3/2),x)","\int {\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^(3/2), x)","F"
263,0,-1,206,0.000000,"\text{Not used}","int((a + b*acosh(d*x^2 - 1))^(1/2),x)","\int \sqrt{a+b\,\mathrm{acosh}\left(d\,x^2-1\right)} \,d x","Not used",1,"int((a + b*acosh(d*x^2 - 1))^(1/2), x)","F"
264,0,-1,166,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\mathrm{acosh}\left(d\,x^2-1\right)}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^(1/2), x)","F"
265,0,-1,212,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^(3/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^(3/2), x)","F"
266,0,-1,253,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^(5/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^(5/2), x)","F"
267,0,-1,302,0.000000,"\text{Not used}","int(1/(a + b*acosh(d*x^2 - 1))^(7/2),x)","\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(d\,x^2-1\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b*acosh(d*x^2 - 1))^(7/2), x)","F"
268,0,-1,43,0.000000,"\text{Not used}","int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1),x)","-\int \frac{{\left(a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^n}{c^2\,x^2-1} \,d x","Not used",0,"-int((a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1), x)","F"
269,0,-1,265,0.000000,"\text{Not used}","int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^3}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1), x)","F"
270,0,-1,196,0.000000,"\text{Not used}","int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1), x)","F"
271,0,-1,133,0.000000,"\text{Not used}","int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1),x)","\int -\frac{a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1), x)","F"
272,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)),x)","-\int \frac{1}{\left(a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)), x)","F"
273,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)),x)","-\int \frac{1}{{\left(a+b\,\mathrm{acosh}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*acosh((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)), x)","F"
274,0,-1,76,0.000000,"\text{Not used}","int(acosh(c*exp(a + b*x)),x)","\int \mathrm{acosh}\left(c\,{\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(acosh(c*exp(a + b*x)), x)","F"
275,1,1408,165,69.811682,"\text{Not used}","int(x^3*(a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x),x)","\frac{a\,x^4}{4}-\frac{\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(2\,a^3+\frac{3\,a}{2}\right)}{b^4\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{19}\,\left(2\,a^3+\frac{3\,a}{2}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{19}}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(\frac{58\,a^3}{3}+\frac{29\,a}{2}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{17}\,\left(\frac{58\,a^3}{3}+\frac{29\,a}{2}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{17}}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\left(\frac{3584\,a^5}{5}-\frac{4552\,a^3}{3}+654\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{15}\,\left(\frac{3584\,a^5}{5}-\frac{4552\,a^3}{3}+654\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{15}}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(11776\,a^5-16024\,a^3+4622\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{13}\,\left(11776\,a^5-16024\,a^3+4622\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{13}}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9\,\left(39936\,a^5-48012\,a^3+11095\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{11}\,\left(39936\,a^5-48012\,a^3+11095\,a\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{11}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\sqrt{a-1}\,\sqrt{a+1}\,\left(64\,a^4-128\,a^2+64\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{16}\,\sqrt{a-1}\,\sqrt{a+1}\,\left(64\,a^4-128\,a^2+64\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{16}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\sqrt{a-1}\,\sqrt{a+1}\,\left(3712\,a^4-\frac{12544\,a^2}{3}+\frac{1408}{3}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{14}\,\sqrt{a-1}\,\sqrt{a+1}\,\left(3712\,a^4-\frac{12544\,a^2}{3}+\frac{1408}{3}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{14}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\sqrt{a-1}\,\sqrt{a+1}\,\left(25536\,a^4-\frac{56960\,a^2}{3}+\frac{4928}{3}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}\,\sqrt{a-1}\,\sqrt{a+1}\,\left(25536\,a^4-\frac{56960\,a^2}{3}+\frac{4928}{3}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{231168\,a^4}{5}-\frac{160256\,a^2}{5}+\frac{11008}{5}\right)}{b^4\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}}{\frac{45\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{10\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{120\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{210\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}-\frac{252\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{210\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}-\frac{120\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{14}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{14}}+\frac{45\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{16}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{16}}-\frac{10\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{18}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{18}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{20}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{20}}+1}+\frac{b\,x^5}{5}+\frac{a\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\left(4\,a^2+3\right)}{2\,b^4}","Not used",1,"(a*x^4)/4 - ((((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((3*a)/2 + 2*a^3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^19*((3*a)/2 + 2*a^3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^19) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*((29*a)/2 + (58*a^3)/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^17*((29*a)/2 + (58*a^3)/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^17) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(654*a - (4552*a^3)/3 + (3584*a^5)/5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^15*(654*a - (4552*a^3)/3 + (3584*a^5)/5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^15) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*(4622*a - 16024*a^3 + 11776*a^5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^13*(4622*a - 16024*a^3 + 11776*a^5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^13) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9*(11095*a - 48012*a^3 + 39936*a^5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^11*(11095*a - 48012*a^3 + 39936*a^5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^11) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(a - 1)^(1/2)*(a + 1)^(1/2)*(64*a^4 - 128*a^2 + 64))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^16*(a - 1)^(1/2)*(a + 1)^(1/2)*(64*a^4 - 128*a^2 + 64))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^16) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*(a - 1)^(1/2)*(a + 1)^(1/2)*(3712*a^4 - (12544*a^2)/3 + 1408/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^14*(a - 1)^(1/2)*(a + 1)^(1/2)*(3712*a^4 - (12544*a^2)/3 + 1408/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^14) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*(a - 1)^(1/2)*(a + 1)^(1/2)*(25536*a^4 - (56960*a^2)/3 + 4928/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12*(a - 1)^(1/2)*(a + 1)^(1/2)*(25536*a^4 - (56960*a^2)/3 + 4928/3))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10*(a - 1)^(1/2)*(a + 1)^(1/2)*((231168*a^4)/5 - (160256*a^2)/5 + 11008/5))/(b^4*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10))/((45*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 - (10*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - (120*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6 + (210*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8 - (252*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10 + (210*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12 - (120*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^14)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^14 + (45*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^16)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^16 - (10*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^18)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^18 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^20/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^20 + 1) + (b*x^5)/5 + (a*atanh(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(4*a^2 + 3))/(2*b^4)","B"
276,1,1067,115,33.478530,"\text{Not used}","int(x^2*(a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x),x)","\frac{a\,x^3}{3}+\frac{b\,x^4}{4}+\frac{\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(2\,a^2+\frac{1}{2}\right)}{b^3\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{15}\,\left(2\,a^2+\frac{1}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{15}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(\frac{64\,a^4}{3}-58\,a^2+\frac{35}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{13}\,\left(\frac{64\,a^4}{3}-58\,a^2+\frac{35}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{13}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\left(\frac{2368\,a^4}{3}-862\,a^2+\frac{273}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{11}\,\left(\frac{2368\,a^4}{3}-862\,a^2+\frac{273}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{11}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(\frac{9856\,a^4}{3}-3178\,a^2+\frac{715}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9\,\left(\frac{9856\,a^4}{3}-3178\,a^2+\frac{715}{2}\right)}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\left(192\,a-192\,a^3\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}\,\left(192\,a-192\,a^3\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\left(\frac{2816\,a}{3}-\frac{5888\,a^3}{3}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}\,\left(\frac{2816\,a}{3}-\frac{5888\,a^3}{3}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\left(\frac{5504\,a}{3}-\frac{11648\,a^3}{3}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^3\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}}{\frac{28\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{56\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{70\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}-\frac{56\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{28\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{14}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{14}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{16}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{16}}+1}-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\left(a^2+\frac{1}{4}\right)}{b^3}","Not used",1,"(a*x^3)/3 + (b*x^4)/4 + ((((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(2*a^2 + 1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^15*(2*a^2 + 1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^15) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*((64*a^4)/3 - 58*a^2 + 35/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^13*((64*a^4)/3 - 58*a^2 + 35/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^13) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*((2368*a^4)/3 - 862*a^2 + 273/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^11*((2368*a^4)/3 - 862*a^2 + 273/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^11) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*((9856*a^4)/3 - 3178*a^2 + 715/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9*((9856*a^4)/3 - 3178*a^2 + 715/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(192*a - 192*a^3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12*(192*a - 192*a^3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*((2816*a)/3 - (5888*a^3)/3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10*((2816*a)/3 - (5888*a^3)/3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*((5504*a)/3 - (11648*a^3)/3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^3*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8))/((28*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 - (8*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - (56*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6 + (70*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8 - (56*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10 + (28*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12 - (8*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^14)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^14 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^16/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^16 + 1) - (2*atanh(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(a^2 + 1/4))/b^3","B"
277,1,852,67,16.715511,"\text{Not used}","int(x*(a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x),x)","\frac{a\,x^2}{2}-\frac{\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{b^2\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(42\,a-\frac{160\,a^3}{3}\right)}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9\,\left(42\,a-\frac{160\,a^3}{3}\right)}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\left(212\,a-288\,a^3\right)}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(212\,a-288\,a^3\right)}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7}+\frac{2\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{11}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{11}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(8\,a^2-8\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}\,\left(8\,a^2-8\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\left(160\,a^2-32\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\left(160\,a^2-32\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\left(\frac{1040\,a^2}{3}-\frac{272}{3}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{b^2\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}}{\frac{15\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{6\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{20\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{15\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}-\frac{6\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}+1}+\frac{b\,x^3}{3}+\frac{2\,a\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)}{b^2}","Not used",1,"(a*x^2)/2 - ((2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*(42*a - (160*a^3)/3))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9*(42*a - (160*a^3)/3))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(212*a - 288*a^3))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*(212*a - 288*a^3))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7) + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^11)/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^11) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(8*a^2 - 8)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10*(8*a^2 - 8)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(160*a^2 - 32)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*(160*a^2 - 32)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*((1040*a^2)/3 - 272/3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(b^2*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6))/((15*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 - (6*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - (20*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6 + (15*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8 - (6*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12 + 1) + (b*x^3)/3 + (2*a*atanh(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))))/b^2","B"
278,1,79,31,0.174746,"\text{Not used}","int(a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x,x)","a\,x+\frac{b\,x^2}{2}-\frac{\ln\left(a+\sqrt{a+b\,x-1}\,\sqrt{a+b\,x+1}+b\,x\right)}{2\,b}+\frac{x\,\sqrt{a+b\,x-1}\,\sqrt{a+b\,x+1}}{2}+\frac{a\,\sqrt{a+b\,x-1}\,\sqrt{a+b\,x+1}}{2\,b}","Not used",1,"a*x + (b*x^2)/2 - log(a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/(2*b) + (x*(a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2))/2 + (a*(a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2))/(2*b)","B"
279,1,8883,100,23.407567,"\text{Not used}","int((a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/x,x)","b\,x+a\,\ln\left(x\right)+\frac{\frac{4\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}}{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+1}+\ln\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-a^2-\frac{a^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+1\right)\,\sqrt{a-1}\,\sqrt{a+1}-\ln\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\sqrt{a-1}\,\sqrt{a+1}-a\,\mathrm{atan}\left(-\frac{a\,\left(2\,a\,\left(\frac{32\,\left(a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-2\,a\,\sqrt{a-1}\,\sqrt{a+1}+22\,a^3\,\sqrt{a-1}\,\sqrt{a+1}-68\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+92\,a^7\,\sqrt{a-1}\,\sqrt{a+1}-22\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-58\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+52\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+14\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+12\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-27\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+9\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+4\,a^5\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-2\,a\,\left(\frac{32\,\left(2\,a-10\,a^3+20\,a^5-20\,a^7+10\,a^9-2\,a^{11}-2\,a\,\left(a-1\right)\,\left(a+1\right)+2\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-6\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+4\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+8\,a^3\,\left(a-1\right)\,\left(a+1\right)-12\,a^5\,\left(a-1\right)\,\left(a+1\right)+8\,a^7\,\left(a-1\right)\,\left(a+1\right)-2\,a^9\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(a\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+6\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-4\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+10\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+4\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(60\,a^2-150\,a^4+200\,a^6-150\,a^8+60\,a^{10}-10\,a^{12}-39\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+78\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+16\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-39\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+33\,a^2\,\left(a-1\right)\,\left(a+1\right)-132\,a^4\,\left(a-1\right)\,\left(a+1\right)+198\,a^6\,\left(a-1\right)\,\left(a+1\right)-132\,a^8\,\left(a-1\right)\,\left(a+1\right)+33\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-10\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(17\,\sqrt{a-1}\,\sqrt{a+1}-106\,a^2\,\sqrt{a-1}\,\sqrt{a+1}+275\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-48\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-380\,a^6\,\sqrt{a-1}\,\sqrt{a+1}+196\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+295\,a^8\,\sqrt{a-1}\,\sqrt{a+1}-300\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-122\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+47\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+204\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+21\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}-94\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-52\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+47\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-16\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(36\,a^2-216\,a^4+540\,a^6-720\,a^8+540\,a^{10}-216\,a^{12}+36\,a^{14}-6\,\left(a-1\right)\,\left(a+1\right)+15\,a^2\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-64\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-9\,a^4\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+262\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+18\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-392\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-73\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+179\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+40\,a^2\,\left(a-1\right)\,\left(a+1\right)-242\,a^4\,\left(a-1\right)\,\left(a+1\right)+688\,a^6\,\left(a-1\right)\,\left(a+1\right)-922\,a^8\,\left(a-1\right)\,\left(a+1\right)+584\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-142\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)-\frac{32\,\left(2\,a\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a\,\left(a-1\right)\,\left(a+1\right)-8\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a^3\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+12\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+6\,a^5\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-8\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^7\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+2\,a^9\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+10\,a^3\,\left(a-1\right)\,\left(a+1\right)-20\,a^5\,\left(a-1\right)\,\left(a+1\right)+20\,a^7\,\left(a-1\right)\,\left(a+1\right)-10\,a^9\,\left(a-1\right)\,\left(a+1\right)+2\,a^{11}\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left({\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^2\,\sqrt{a-1}\,\sqrt{a+1}-384\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-10\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^6\,\sqrt{a-1}\,\sqrt{a+1}-157\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-1280\,a^8\,\sqrt{a-1}\,\sqrt{a+1}+708\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-1097\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-384\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}+180\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+742\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^{14}\,\sqrt{a-1}\,\sqrt{a+1}-a^4\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}-372\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-187\,a^{12}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+2\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}+188\,a^{10}\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-65\,a^8\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)\,2{}\mathrm{i}-a\,\left(\frac{32\,\left(2\,a\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a\,\left(a-1\right)\,\left(a+1\right)-8\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a^3\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+12\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+6\,a^5\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-8\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^7\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+2\,a^9\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+10\,a^3\,\left(a-1\right)\,\left(a+1\right)-20\,a^5\,\left(a-1\right)\,\left(a+1\right)+20\,a^7\,\left(a-1\right)\,\left(a+1\right)-10\,a^9\,\left(a-1\right)\,\left(a+1\right)+2\,a^{11}\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-2\,a\,\sqrt{a-1}\,\sqrt{a+1}+22\,a^3\,\sqrt{a-1}\,\sqrt{a+1}-68\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+92\,a^7\,\sqrt{a-1}\,\sqrt{a+1}-22\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-58\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+52\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+14\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+12\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-27\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+9\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+4\,a^5\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(2\,a-10\,a^3+20\,a^5-20\,a^7+10\,a^9-2\,a^{11}-2\,a\,\left(a-1\right)\,\left(a+1\right)+2\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-6\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+4\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+8\,a^3\,\left(a-1\right)\,\left(a+1\right)-12\,a^5\,\left(a-1\right)\,\left(a+1\right)+8\,a^7\,\left(a-1\right)\,\left(a+1\right)-2\,a^9\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-2\,a\,\left(\frac{32\,\left(a\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+6\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-4\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+10\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+4\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(60\,a^2-150\,a^4+200\,a^6-150\,a^8+60\,a^{10}-10\,a^{12}-39\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+78\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+16\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-39\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+33\,a^2\,\left(a-1\right)\,\left(a+1\right)-132\,a^4\,\left(a-1\right)\,\left(a+1\right)+198\,a^6\,\left(a-1\right)\,\left(a+1\right)-132\,a^8\,\left(a-1\right)\,\left(a+1\right)+33\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-10\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(17\,\sqrt{a-1}\,\sqrt{a+1}-106\,a^2\,\sqrt{a-1}\,\sqrt{a+1}+275\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-48\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-380\,a^6\,\sqrt{a-1}\,\sqrt{a+1}+196\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+295\,a^8\,\sqrt{a-1}\,\sqrt{a+1}-300\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-122\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+47\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+204\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+21\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}-94\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-52\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+47\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-16\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(36\,a^2-216\,a^4+540\,a^6-720\,a^8+540\,a^{10}-216\,a^{12}+36\,a^{14}-6\,\left(a-1\right)\,\left(a+1\right)+15\,a^2\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-64\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-9\,a^4\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+262\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+18\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-392\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-73\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+179\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+40\,a^2\,\left(a-1\right)\,\left(a+1\right)-242\,a^4\,\left(a-1\right)\,\left(a+1\right)+688\,a^6\,\left(a-1\right)\,\left(a+1\right)-922\,a^8\,\left(a-1\right)\,\left(a+1\right)+584\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-142\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left({\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^2\,\sqrt{a-1}\,\sqrt{a+1}-384\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-10\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^6\,\sqrt{a-1}\,\sqrt{a+1}-157\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-1280\,a^8\,\sqrt{a-1}\,\sqrt{a+1}+708\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-1097\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-384\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}+180\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+742\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^{14}\,\sqrt{a-1}\,\sqrt{a+1}-a^4\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}-372\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-187\,a^{12}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+2\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}+188\,a^{10}\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-65\,a^8\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)\,2{}\mathrm{i}}{2\,a\,\left(2\,a\,\left(\frac{32\,\left(a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-2\,a\,\sqrt{a-1}\,\sqrt{a+1}+22\,a^3\,\sqrt{a-1}\,\sqrt{a+1}-68\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+92\,a^7\,\sqrt{a-1}\,\sqrt{a+1}-22\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-58\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+52\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+14\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+12\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-27\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+9\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+4\,a^5\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-2\,a\,\left(\frac{32\,\left(2\,a-10\,a^3+20\,a^5-20\,a^7+10\,a^9-2\,a^{11}-2\,a\,\left(a-1\right)\,\left(a+1\right)+2\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-6\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+4\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+8\,a^3\,\left(a-1\right)\,\left(a+1\right)-12\,a^5\,\left(a-1\right)\,\left(a+1\right)+8\,a^7\,\left(a-1\right)\,\left(a+1\right)-2\,a^9\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(a\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+6\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-4\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+10\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+4\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(60\,a^2-150\,a^4+200\,a^6-150\,a^8+60\,a^{10}-10\,a^{12}-39\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+78\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+16\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-39\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+33\,a^2\,\left(a-1\right)\,\left(a+1\right)-132\,a^4\,\left(a-1\right)\,\left(a+1\right)+198\,a^6\,\left(a-1\right)\,\left(a+1\right)-132\,a^8\,\left(a-1\right)\,\left(a+1\right)+33\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-10\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(17\,\sqrt{a-1}\,\sqrt{a+1}-106\,a^2\,\sqrt{a-1}\,\sqrt{a+1}+275\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-48\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-380\,a^6\,\sqrt{a-1}\,\sqrt{a+1}+196\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+295\,a^8\,\sqrt{a-1}\,\sqrt{a+1}-300\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-122\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+47\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+204\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+21\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}-94\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-52\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+47\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-16\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(36\,a^2-216\,a^4+540\,a^6-720\,a^8+540\,a^{10}-216\,a^{12}+36\,a^{14}-6\,\left(a-1\right)\,\left(a+1\right)+15\,a^2\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-64\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-9\,a^4\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+262\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+18\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-392\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-73\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+179\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+40\,a^2\,\left(a-1\right)\,\left(a+1\right)-242\,a^4\,\left(a-1\right)\,\left(a+1\right)+688\,a^6\,\left(a-1\right)\,\left(a+1\right)-922\,a^8\,\left(a-1\right)\,\left(a+1\right)+584\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-142\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)-\frac{32\,\left(2\,a\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a\,\left(a-1\right)\,\left(a+1\right)-8\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a^3\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+12\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+6\,a^5\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-8\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^7\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+2\,a^9\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+10\,a^3\,\left(a-1\right)\,\left(a+1\right)-20\,a^5\,\left(a-1\right)\,\left(a+1\right)+20\,a^7\,\left(a-1\right)\,\left(a+1\right)-10\,a^9\,\left(a-1\right)\,\left(a+1\right)+2\,a^{11}\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left({\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^2\,\sqrt{a-1}\,\sqrt{a+1}-384\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-10\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^6\,\sqrt{a-1}\,\sqrt{a+1}-157\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-1280\,a^8\,\sqrt{a-1}\,\sqrt{a+1}+708\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-1097\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-384\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}+180\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+742\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^{14}\,\sqrt{a-1}\,\sqrt{a+1}-a^4\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}-372\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-187\,a^{12}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+2\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}+188\,a^{10}\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-65\,a^8\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)-\frac{64\,\left(22\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-2\,a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-68\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+92\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-28\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-58\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+56\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+14\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+2\,a^5\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}-28\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+14\,a^7\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(2\,a\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a\,\left(a-1\right)\,\left(a+1\right)-8\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a^3\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+12\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+6\,a^5\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-8\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^7\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+2\,a^9\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+10\,a^3\,\left(a-1\right)\,\left(a+1\right)-20\,a^5\,\left(a-1\right)\,\left(a+1\right)+20\,a^7\,\left(a-1\right)\,\left(a+1\right)-10\,a^9\,\left(a-1\right)\,\left(a+1\right)+2\,a^{11}\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-2\,a\,\sqrt{a-1}\,\sqrt{a+1}+22\,a^3\,\sqrt{a-1}\,\sqrt{a+1}-68\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+92\,a^7\,\sqrt{a-1}\,\sqrt{a+1}-22\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-58\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+52\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+14\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+12\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-27\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+9\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+4\,a^5\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}+2\,a\,\left(\frac{32\,\left(2\,a-10\,a^3+20\,a^5-20\,a^7+10\,a^9-2\,a^{11}-2\,a\,\left(a-1\right)\,\left(a+1\right)+2\,a^3\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-6\,a^5\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+4\,a^7\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+8\,a^3\,\left(a-1\right)\,\left(a+1\right)-12\,a^5\,\left(a-1\right)\,\left(a+1\right)+8\,a^7\,\left(a-1\right)\,\left(a+1\right)-2\,a^9\,\left(a-1\right)\,\left(a+1\right)\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-2\,a\,\left(\frac{32\,\left(a\,\sqrt{a-1}\,\sqrt{a+1}-4\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+6\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-4\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+10\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+a^9\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+4\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}\right)}{a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1}-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(60\,a^2-150\,a^4+200\,a^6-150\,a^8+60\,a^{10}-10\,a^{12}-39\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+78\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+16\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-39\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+33\,a^2\,\left(a-1\right)\,\left(a+1\right)-132\,a^4\,\left(a-1\right)\,\left(a+1\right)+198\,a^6\,\left(a-1\right)\,\left(a+1\right)-132\,a^8\,\left(a-1\right)\,\left(a+1\right)+33\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-10\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(17\,\sqrt{a-1}\,\sqrt{a+1}-106\,a^2\,\sqrt{a-1}\,\sqrt{a+1}+275\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-48\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-380\,a^6\,\sqrt{a-1}\,\sqrt{a+1}+196\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+295\,a^8\,\sqrt{a-1}\,\sqrt{a+1}-300\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-122\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+47\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+204\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+21\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}-94\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-52\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+47\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-16\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(36\,a^2-216\,a^4+540\,a^6-720\,a^8+540\,a^{10}-216\,a^{12}+36\,a^{14}-6\,\left(a-1\right)\,\left(a+1\right)+15\,a^2\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-64\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-9\,a^4\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+262\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+18\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-392\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-73\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+179\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+40\,a^2\,\left(a-1\right)\,\left(a+1\right)-242\,a^4\,\left(a-1\right)\,\left(a+1\right)+688\,a^6\,\left(a-1\right)\,\left(a+1\right)-922\,a^8\,\left(a-1\right)\,\left(a+1\right)+584\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-142\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)-\frac{32\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left({\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^2\,\sqrt{a-1}\,\sqrt{a+1}-384\,a^4\,\sqrt{a-1}\,\sqrt{a+1}-10\,a^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^6\,\sqrt{a-1}\,\sqrt{a+1}-157\,a^4\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-1280\,a^8\,\sqrt{a-1}\,\sqrt{a+1}+708\,a^6\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^{10}\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-1097\,a^8\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-384\,a^{12}\,\sqrt{a-1}\,\sqrt{a+1}+180\,a^6\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+742\,a^{10}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^{14}\,\sqrt{a-1}\,\sqrt{a+1}-a^4\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}-372\,a^8\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-187\,a^{12}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+2\,a^6\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}+188\,a^{10}\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-65\,a^8\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}\right)+\frac{64\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(4\,a^4\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-40\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^2\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+200\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+20\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-320\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-52\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+220\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+28\,a^{10}\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-56\,a^{12}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+28\,a^2\,\left(a-1\right)\,\left(a+1\right)-168\,a^4\,\left(a-1\right)\,\left(a+1\right)+420\,a^6\,\left(a-1\right)\,\left(a+1\right)-560\,a^8\,\left(a-1\right)\,\left(a+1\right)+420\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-168\,a^{12}\,\left(a-1\right)\,\left(a+1\right)+28\,a^{14}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}}\right)\,4{}\mathrm{i}","Not used",1,"b*x + a*log(x) - a*atan(-(a*(2*a*((32*(a*(a - 1)^(3/2)*(a + 1)^(3/2) - 2*a*(a - 1)^(1/2)*(a + 1)^(1/2) + 22*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) - 68*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) + 92*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) - 22*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) - 58*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(5/2)*(a + 1)^(5/2) + 52*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 14*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 12*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 27*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 9*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 4*a^5*(a - 1)^(7/2)*(a + 1)^(7/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - 2*a*((32*(2*a - 10*a^3 + 20*a^5 - 20*a^7 + 10*a^9 - 2*a^11 - 2*a*(a - 1)*(a + 1) + 2*a^3*(a - 1)^2*(a + 1)^2 - 6*a^5*(a - 1)^2*(a + 1)^2 + 4*a^7*(a - 1)^2*(a + 1)^2 + 8*a^3*(a - 1)*(a + 1) - 12*a^5*(a - 1)*(a + 1) + 8*a^7*(a - 1)*(a + 1) - 2*a^9*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(a*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 6*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 4*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 10*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 4*a^5*(a - 1)^(5/2)*(a + 1)^(5/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(60*a^2 - 150*a^4 + 200*a^6 - 150*a^8 + 60*a^10 - 10*a^12 - 39*a^4*(a - 1)^2*(a + 1)^2 + 78*a^6*(a - 1)^2*(a + 1)^2 + 16*a^6*(a - 1)^3*(a + 1)^3 - 39*a^8*(a - 1)^2*(a + 1)^2 + 33*a^2*(a - 1)*(a + 1) - 132*a^4*(a - 1)*(a + 1) + 198*a^6*(a - 1)*(a + 1) - 132*a^8*(a - 1)*(a + 1) + 33*a^10*(a - 1)*(a + 1) - 10))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(17*(a - 1)^(1/2)*(a + 1)^(1/2) - 106*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) + 275*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 48*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) - 380*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) + 196*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) + 295*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) - 300*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) - 122*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 47*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) + 204*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) + 21*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) - 94*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) - 52*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 47*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 16*a^6*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(36*a^2 - 216*a^4 + 540*a^6 - 720*a^8 + 540*a^10 - 216*a^12 + 36*a^14 - 6*(a - 1)*(a + 1) + 15*a^2*(a - 1)^2*(a + 1)^2 - 64*a^4*(a - 1)^2*(a + 1)^2 - 9*a^4*(a - 1)^3*(a + 1)^3 + 262*a^6*(a - 1)^2*(a + 1)^2 + 18*a^6*(a - 1)^3*(a + 1)^3 - 392*a^8*(a - 1)^2*(a + 1)^2 - 73*a^8*(a - 1)^3*(a + 1)^3 + 179*a^10*(a - 1)^2*(a + 1)^2 + 40*a^2*(a - 1)*(a + 1) - 242*a^4*(a - 1)*(a + 1) + 688*a^6*(a - 1)*(a + 1) - 922*a^8*(a - 1)*(a + 1) + 584*a^10*(a - 1)*(a + 1) - 142*a^12*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) - (32*(2*a*(a - 1)^2*(a + 1)^2 - 2*a*(a - 1)*(a + 1) - 8*a^3*(a - 1)^2*(a + 1)^2 - 2*a^3*(a - 1)^3*(a + 1)^3 + 12*a^5*(a - 1)^2*(a + 1)^2 + 6*a^5*(a - 1)^3*(a + 1)^3 - 8*a^7*(a - 1)^2*(a + 1)^2 - 4*a^7*(a - 1)^3*(a + 1)^3 + 2*a^9*(a - 1)^2*(a + 1)^2 + 10*a^3*(a - 1)*(a + 1) - 20*a^5*(a - 1)*(a + 1) + 20*a^7*(a - 1)*(a + 1) - 10*a^9*(a - 1)*(a + 1) + 2*a^11*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) - 384*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 10*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) - 157*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) - 1280*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) + 708*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) - 1097*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) - 384*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) + 180*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) + 742*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^14*(a - 1)^(1/2)*(a + 1)^(1/2) - a^4*(a - 1)^(7/2)*(a + 1)^(7/2) - 372*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 187*a^12*(a - 1)^(3/2)*(a + 1)^(3/2) + 2*a^6*(a - 1)^(7/2)*(a + 1)^(7/2) + 188*a^10*(a - 1)^(5/2)*(a + 1)^(5/2) - 65*a^8*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1)))*2i - a*((32*(2*a*(a - 1)^2*(a + 1)^2 - 2*a*(a - 1)*(a + 1) - 8*a^3*(a - 1)^2*(a + 1)^2 - 2*a^3*(a - 1)^3*(a + 1)^3 + 12*a^5*(a - 1)^2*(a + 1)^2 + 6*a^5*(a - 1)^3*(a + 1)^3 - 8*a^7*(a - 1)^2*(a + 1)^2 - 4*a^7*(a - 1)^3*(a + 1)^3 + 2*a^9*(a - 1)^2*(a + 1)^2 + 10*a^3*(a - 1)*(a + 1) - 20*a^5*(a - 1)*(a + 1) + 20*a^7*(a - 1)*(a + 1) - 10*a^9*(a - 1)*(a + 1) + 2*a^11*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(a*(a - 1)^(3/2)*(a + 1)^(3/2) - 2*a*(a - 1)^(1/2)*(a + 1)^(1/2) + 22*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) - 68*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) + 92*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) - 22*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) - 58*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(5/2)*(a + 1)^(5/2) + 52*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 14*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 12*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 27*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 9*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 4*a^5*(a - 1)^(7/2)*(a + 1)^(7/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(2*a - 10*a^3 + 20*a^5 - 20*a^7 + 10*a^9 - 2*a^11 - 2*a*(a - 1)*(a + 1) + 2*a^3*(a - 1)^2*(a + 1)^2 - 6*a^5*(a - 1)^2*(a + 1)^2 + 4*a^7*(a - 1)^2*(a + 1)^2 + 8*a^3*(a - 1)*(a + 1) - 12*a^5*(a - 1)*(a + 1) + 8*a^7*(a - 1)*(a + 1) - 2*a^9*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - 2*a*((32*(a*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 6*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 4*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 10*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 4*a^5*(a - 1)^(5/2)*(a + 1)^(5/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(60*a^2 - 150*a^4 + 200*a^6 - 150*a^8 + 60*a^10 - 10*a^12 - 39*a^4*(a - 1)^2*(a + 1)^2 + 78*a^6*(a - 1)^2*(a + 1)^2 + 16*a^6*(a - 1)^3*(a + 1)^3 - 39*a^8*(a - 1)^2*(a + 1)^2 + 33*a^2*(a - 1)*(a + 1) - 132*a^4*(a - 1)*(a + 1) + 198*a^6*(a - 1)*(a + 1) - 132*a^8*(a - 1)*(a + 1) + 33*a^10*(a - 1)*(a + 1) - 10))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(17*(a - 1)^(1/2)*(a + 1)^(1/2) - 106*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) + 275*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 48*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) - 380*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) + 196*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) + 295*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) - 300*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) - 122*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 47*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) + 204*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) + 21*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) - 94*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) - 52*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 47*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 16*a^6*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(36*a^2 - 216*a^4 + 540*a^6 - 720*a^8 + 540*a^10 - 216*a^12 + 36*a^14 - 6*(a - 1)*(a + 1) + 15*a^2*(a - 1)^2*(a + 1)^2 - 64*a^4*(a - 1)^2*(a + 1)^2 - 9*a^4*(a - 1)^3*(a + 1)^3 + 262*a^6*(a - 1)^2*(a + 1)^2 + 18*a^6*(a - 1)^3*(a + 1)^3 - 392*a^8*(a - 1)^2*(a + 1)^2 - 73*a^8*(a - 1)^3*(a + 1)^3 + 179*a^10*(a - 1)^2*(a + 1)^2 + 40*a^2*(a - 1)*(a + 1) - 242*a^4*(a - 1)*(a + 1) + 688*a^6*(a - 1)*(a + 1) - 922*a^8*(a - 1)*(a + 1) + 584*a^10*(a - 1)*(a + 1) - 142*a^12*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) - 384*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 10*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) - 157*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) - 1280*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) + 708*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) - 1097*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) - 384*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) + 180*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) + 742*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^14*(a - 1)^(1/2)*(a + 1)^(1/2) - a^4*(a - 1)^(7/2)*(a + 1)^(7/2) - 372*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 187*a^12*(a - 1)^(3/2)*(a + 1)^(3/2) + 2*a^6*(a - 1)^(7/2)*(a + 1)^(7/2) + 188*a^10*(a - 1)^(5/2)*(a + 1)^(5/2) - 65*a^8*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1)))*2i)/(2*a*(2*a*((32*(a*(a - 1)^(3/2)*(a + 1)^(3/2) - 2*a*(a - 1)^(1/2)*(a + 1)^(1/2) + 22*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) - 68*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) + 92*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) - 22*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) - 58*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(5/2)*(a + 1)^(5/2) + 52*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 14*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 12*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 27*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 9*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 4*a^5*(a - 1)^(7/2)*(a + 1)^(7/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - 2*a*((32*(2*a - 10*a^3 + 20*a^5 - 20*a^7 + 10*a^9 - 2*a^11 - 2*a*(a - 1)*(a + 1) + 2*a^3*(a - 1)^2*(a + 1)^2 - 6*a^5*(a - 1)^2*(a + 1)^2 + 4*a^7*(a - 1)^2*(a + 1)^2 + 8*a^3*(a - 1)*(a + 1) - 12*a^5*(a - 1)*(a + 1) + 8*a^7*(a - 1)*(a + 1) - 2*a^9*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(a*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 6*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 4*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 10*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 4*a^5*(a - 1)^(5/2)*(a + 1)^(5/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(60*a^2 - 150*a^4 + 200*a^6 - 150*a^8 + 60*a^10 - 10*a^12 - 39*a^4*(a - 1)^2*(a + 1)^2 + 78*a^6*(a - 1)^2*(a + 1)^2 + 16*a^6*(a - 1)^3*(a + 1)^3 - 39*a^8*(a - 1)^2*(a + 1)^2 + 33*a^2*(a - 1)*(a + 1) - 132*a^4*(a - 1)*(a + 1) + 198*a^6*(a - 1)*(a + 1) - 132*a^8*(a - 1)*(a + 1) + 33*a^10*(a - 1)*(a + 1) - 10))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(17*(a - 1)^(1/2)*(a + 1)^(1/2) - 106*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) + 275*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 48*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) - 380*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) + 196*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) + 295*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) - 300*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) - 122*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 47*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) + 204*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) + 21*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) - 94*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) - 52*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 47*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 16*a^6*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(36*a^2 - 216*a^4 + 540*a^6 - 720*a^8 + 540*a^10 - 216*a^12 + 36*a^14 - 6*(a - 1)*(a + 1) + 15*a^2*(a - 1)^2*(a + 1)^2 - 64*a^4*(a - 1)^2*(a + 1)^2 - 9*a^4*(a - 1)^3*(a + 1)^3 + 262*a^6*(a - 1)^2*(a + 1)^2 + 18*a^6*(a - 1)^3*(a + 1)^3 - 392*a^8*(a - 1)^2*(a + 1)^2 - 73*a^8*(a - 1)^3*(a + 1)^3 + 179*a^10*(a - 1)^2*(a + 1)^2 + 40*a^2*(a - 1)*(a + 1) - 242*a^4*(a - 1)*(a + 1) + 688*a^6*(a - 1)*(a + 1) - 922*a^8*(a - 1)*(a + 1) + 584*a^10*(a - 1)*(a + 1) - 142*a^12*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) - (32*(2*a*(a - 1)^2*(a + 1)^2 - 2*a*(a - 1)*(a + 1) - 8*a^3*(a - 1)^2*(a + 1)^2 - 2*a^3*(a - 1)^3*(a + 1)^3 + 12*a^5*(a - 1)^2*(a + 1)^2 + 6*a^5*(a - 1)^3*(a + 1)^3 - 8*a^7*(a - 1)^2*(a + 1)^2 - 4*a^7*(a - 1)^3*(a + 1)^3 + 2*a^9*(a - 1)^2*(a + 1)^2 + 10*a^3*(a - 1)*(a + 1) - 20*a^5*(a - 1)*(a + 1) + 20*a^7*(a - 1)*(a + 1) - 10*a^9*(a - 1)*(a + 1) + 2*a^11*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) - 384*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 10*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) - 157*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) - 1280*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) + 708*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) - 1097*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) - 384*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) + 180*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) + 742*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^14*(a - 1)^(1/2)*(a + 1)^(1/2) - a^4*(a - 1)^(7/2)*(a + 1)^(7/2) - 372*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 187*a^12*(a - 1)^(3/2)*(a + 1)^(3/2) + 2*a^6*(a - 1)^(7/2)*(a + 1)^(7/2) + 188*a^10*(a - 1)^(5/2)*(a + 1)^(5/2) - 65*a^8*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) - (64*(22*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 2*a*(a - 1)^(3/2)*(a + 1)^(3/2) - 68*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 92*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 28*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 58*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 56*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 14*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) + 2*a^5*(a - 1)^(7/2)*(a + 1)^(7/2) - 28*a^9*(a - 1)^(5/2)*(a + 1)^(5/2) + 14*a^7*(a - 1)^(7/2)*(a + 1)^(7/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(2*a*(a - 1)^2*(a + 1)^2 - 2*a*(a - 1)*(a + 1) - 8*a^3*(a - 1)^2*(a + 1)^2 - 2*a^3*(a - 1)^3*(a + 1)^3 + 12*a^5*(a - 1)^2*(a + 1)^2 + 6*a^5*(a - 1)^3*(a + 1)^3 - 8*a^7*(a - 1)^2*(a + 1)^2 - 4*a^7*(a - 1)^3*(a + 1)^3 + 2*a^9*(a - 1)^2*(a + 1)^2 + 10*a^3*(a - 1)*(a + 1) - 20*a^5*(a - 1)*(a + 1) + 20*a^7*(a - 1)*(a + 1) - 10*a^9*(a - 1)*(a + 1) + 2*a^11*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(a*(a - 1)^(3/2)*(a + 1)^(3/2) - 2*a*(a - 1)^(1/2)*(a + 1)^(1/2) + 22*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) - 68*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) + 92*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) - 22*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) - 58*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(5/2)*(a + 1)^(5/2) + 52*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 14*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 12*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 27*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 9*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 4*a^5*(a - 1)^(7/2)*(a + 1)^(7/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) + 2*a*((32*(2*a - 10*a^3 + 20*a^5 - 20*a^7 + 10*a^9 - 2*a^11 - 2*a*(a - 1)*(a + 1) + 2*a^3*(a - 1)^2*(a + 1)^2 - 6*a^5*(a - 1)^2*(a + 1)^2 + 4*a^7*(a - 1)^2*(a + 1)^2 + 8*a^3*(a - 1)*(a + 1) - 12*a^5*(a - 1)*(a + 1) + 8*a^7*(a - 1)*(a + 1) - 2*a^9*(a - 1)*(a + 1)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - 2*a*((32*(a*(a - 1)^(1/2)*(a + 1)^(1/2) - 4*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 6*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 4*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 10*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) + 4*a^5*(a - 1)^(5/2)*(a + 1)^(5/2)))/(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(60*a^2 - 150*a^4 + 200*a^6 - 150*a^8 + 60*a^10 - 10*a^12 - 39*a^4*(a - 1)^2*(a + 1)^2 + 78*a^6*(a - 1)^2*(a + 1)^2 + 16*a^6*(a - 1)^3*(a + 1)^3 - 39*a^8*(a - 1)^2*(a + 1)^2 + 33*a^2*(a - 1)*(a + 1) - 132*a^4*(a - 1)*(a + 1) + 198*a^6*(a - 1)*(a + 1) - 132*a^8*(a - 1)*(a + 1) + 33*a^10*(a - 1)*(a + 1) - 10))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(17*(a - 1)^(1/2)*(a + 1)^(1/2) - 106*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) + 275*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 48*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) - 380*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) + 196*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) + 295*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) - 300*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) - 122*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 47*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) + 204*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) + 21*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) - 94*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) - 52*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 47*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 16*a^6*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(36*a^2 - 216*a^4 + 540*a^6 - 720*a^8 + 540*a^10 - 216*a^12 + 36*a^14 - 6*(a - 1)*(a + 1) + 15*a^2*(a - 1)^2*(a + 1)^2 - 64*a^4*(a - 1)^2*(a + 1)^2 - 9*a^4*(a - 1)^3*(a + 1)^3 + 262*a^6*(a - 1)^2*(a + 1)^2 + 18*a^6*(a - 1)^3*(a + 1)^3 - 392*a^8*(a - 1)^2*(a + 1)^2 - 73*a^8*(a - 1)^3*(a + 1)^3 + 179*a^10*(a - 1)^2*(a + 1)^2 + 40*a^2*(a - 1)*(a + 1) - 242*a^4*(a - 1)*(a + 1) + 688*a^6*(a - 1)*(a + 1) - 922*a^8*(a - 1)*(a + 1) + 584*a^10*(a - 1)*(a + 1) - 142*a^12*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) - (32*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^2*(a - 1)^(1/2)*(a + 1)^(1/2) - 384*a^4*(a - 1)^(1/2)*(a + 1)^(1/2) - 10*a^2*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^6*(a - 1)^(1/2)*(a + 1)^(1/2) - 157*a^4*(a - 1)^(3/2)*(a + 1)^(3/2) - 1280*a^8*(a - 1)^(1/2)*(a + 1)^(1/2) + 708*a^6*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^10*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^4*(a - 1)^(5/2)*(a + 1)^(5/2) - 1097*a^8*(a - 1)^(3/2)*(a + 1)^(3/2) - 384*a^12*(a - 1)^(1/2)*(a + 1)^(1/2) + 180*a^6*(a - 1)^(5/2)*(a + 1)^(5/2) + 742*a^10*(a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^14*(a - 1)^(1/2)*(a + 1)^(1/2) - a^4*(a - 1)^(7/2)*(a + 1)^(7/2) - 372*a^8*(a - 1)^(5/2)*(a + 1)^(5/2) - 187*a^12*(a - 1)^(3/2)*(a + 1)^(3/2) + 2*a^6*(a - 1)^(7/2)*(a + 1)^(7/2) + 188*a^10*(a - 1)^(5/2)*(a + 1)^(5/2) - 65*a^8*(a - 1)^(7/2)*(a + 1)^(7/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))) + (64*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(4*a^4*(a - 1)^3*(a + 1)^3 - 40*a^4*(a - 1)^2*(a + 1)^2 - 4*a^2*(a - 1)^2*(a + 1)^2 + 200*a^6*(a - 1)^2*(a + 1)^2 + 20*a^6*(a - 1)^3*(a + 1)^3 - 320*a^8*(a - 1)^2*(a + 1)^2 - 52*a^8*(a - 1)^3*(a + 1)^3 + 220*a^10*(a - 1)^2*(a + 1)^2 + 28*a^10*(a - 1)^3*(a + 1)^3 - 56*a^12*(a - 1)^2*(a + 1)^2 + 28*a^2*(a - 1)*(a + 1) - 168*a^4*(a - 1)*(a + 1) + 420*a^6*(a - 1)*(a + 1) - 560*a^8*(a - 1)*(a + 1) + 420*a^10*(a - 1)*(a + 1) - 168*a^12*(a - 1)*(a + 1) + 28*a^14*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1))))*4i + ((4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + (4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3 - (8*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2)/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 - (2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + 1) + log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - a^2 - (a^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + 1)*(a - 1)^(1/2)*(a + 1)^(1/2) - log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(a - 1)^(1/2)*(a + 1)^(1/2)","B"
280,1,3029,109,15.819942,"\text{Not used}","int((a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/x^2,x)","\frac{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{5\,b}{4}-\frac{a^2\,b}{4}\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{b}{4}+\frac{a\,b\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{2\,\left(a^2-1\right)\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}}{\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}-\frac{2\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}}-\frac{a}{x}+b\,\ln\left(x\right)-\frac{b\,\left(a^2-1\right)\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(4\,a^2-4\right)}+\frac{a\,b\,\ln\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-a^2-\frac{a^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+1\right)\,\sqrt{a-1}\,\sqrt{a+1}}{a^2-1}-\frac{a\,b\,\ln\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{a^2-1}-b\,\mathrm{atan}\left(\frac{\frac{\left(14\,a^2-42\,a^4+70\,a^6-70\,a^8+42\,a^{10}-14\,a^{12}+2\,a^{14}+4\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-12\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+12\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-2\,a^2\,\left(a-1\right)\,\left(a+1\right)+10\,a^4\,\left(a-1\right)\,\left(a+1\right)-20\,a^6\,\left(a-1\right)\,\left(a+1\right)+20\,a^8\,\left(a-1\right)\,\left(a+1\right)-10\,a^{10}\,\left(a-1\right)\,\left(a+1\right)+2\,a^{12}\,\left(a-1\right)\,\left(a+1\right)-2\right)\,512{}\mathrm{i}}{a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1}+\frac{\left(2\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-6\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-4\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+6\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+4\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-2\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+2\,a^2\,\left(a-1\right)\,\left(a+1\right)-10\,a^4\,\left(a-1\right)\,\left(a+1\right)+20\,a^6\,\left(a-1\right)\,\left(a+1\right)-20\,a^8\,\left(a-1\right)\,\left(a+1\right)+10\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-2\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)\,128{}\mathrm{i}}{a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1}-\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(21\,a\,\sqrt{a-1}\,\sqrt{a+1}-126\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+315\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-52\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-420\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+208\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+315\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-312\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-126\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+47\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+208\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+21\,a^{13}\,\sqrt{a-1}\,\sqrt{a+1}-94\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-52\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+47\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-16\,a^7\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)\,512{}\mathrm{i}}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1\right)}+\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(64\,a\,\sqrt{a-1}\,\sqrt{a+1}-384\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+960\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-187\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-1280\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+748\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+960\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-1122\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-384\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+188\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+748\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+64\,a^{13}\,\sqrt{a-1}\,\sqrt{a+1}-376\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-187\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+188\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-65\,a^7\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)\,128{}\mathrm{i}}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1\right)}}{\frac{1024\,\left(a\,\sqrt{a-1}\,\sqrt{a+1}-6\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+15\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-5\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-20\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+20\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+15\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-30\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-6\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+20\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+a^{13}\,\sqrt{a-1}\,\sqrt{a+1}-8\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-5\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+4\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}\right)}{a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1}+\frac{64\,\left(14\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-56\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+84\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-28\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-56\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+56\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+14\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-28\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+14\,a^7\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1}-\frac{256\,\left(14\,a\,\sqrt{a-1}\,\sqrt{a+1}-84\,a^3\,\sqrt{a-1}\,\sqrt{a+1}+210\,a^5\,\sqrt{a-1}\,\sqrt{a+1}-27\,a^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-280\,a^7\,\sqrt{a-1}\,\sqrt{a+1}+108\,a^5\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+210\,a^9\,\sqrt{a-1}\,\sqrt{a+1}-162\,a^7\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}-84\,a^{11}\,\sqrt{a-1}\,\sqrt{a+1}+9\,a^5\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+108\,a^9\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+14\,a^{13}\,\sqrt{a-1}\,\sqrt{a+1}-18\,a^7\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}-27\,a^{11}\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}+9\,a^9\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}+4\,a^7\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}\right)}{a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1}+\frac{1024\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(70\,a^2-210\,a^4+350\,a^6-350\,a^8+210\,a^{10}-70\,a^{12}+10\,a^{14}-39\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+117\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+16\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-117\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-16\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+39\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+33\,a^2\,\left(a-1\right)\,\left(a+1\right)-165\,a^4\,\left(a-1\right)\,\left(a+1\right)+330\,a^6\,\left(a-1\right)\,\left(a+1\right)-330\,a^8\,\left(a-1\right)\,\left(a+1\right)+165\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-33\,a^{12}\,\left(a-1\right)\,\left(a+1\right)-10\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1\right)}-\frac{256\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(252\,a^2-756\,a^4+1260\,a^6-1260\,a^8+756\,a^{10}-252\,a^{12}+36\,a^{14}-179\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+537\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+73\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-537\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-73\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+179\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+142\,a^2\,\left(a-1\right)\,\left(a+1\right)-710\,a^4\,\left(a-1\right)\,\left(a+1\right)+1420\,a^6\,\left(a-1\right)\,\left(a+1\right)-1420\,a^8\,\left(a-1\right)\,\left(a+1\right)+710\,a^{10}\,\left(a-1\right)\,\left(a+1\right)-142\,a^{12}\,\left(a-1\right)\,\left(a+1\right)-36\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1\right)}-\frac{64\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(56\,a^4\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-168\,a^6\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-28\,a^6\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3+168\,a^8\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2+28\,a^8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3-56\,a^{10}\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2-28\,a^2\,\left(a-1\right)\,\left(a+1\right)+140\,a^4\,\left(a-1\right)\,\left(a+1\right)-280\,a^6\,\left(a-1\right)\,\left(a+1\right)+280\,a^8\,\left(a-1\right)\,\left(a+1\right)-140\,a^{10}\,\left(a-1\right)\,\left(a+1\right)+28\,a^{12}\,\left(a-1\right)\,\left(a+1\right)\right)}{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^{14}-7\,a^{12}+21\,a^{10}-35\,a^8+35\,a^6-21\,a^4+7\,a^2-1\right)}}\right)\,4{}\mathrm{i}","Not used",1,"((((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*((5*b)/4 - (a^2*b)/4))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2) - b/4 + (a*b*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/(2*(a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))))/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3 - (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2)) - a/x + b*log(x) - b*atan((((14*a^2 - 42*a^4 + 70*a^6 - 70*a^8 + 42*a^10 - 14*a^12 + 2*a^14 + 4*a^4*(a - 1)^2*(a + 1)^2 - 12*a^6*(a - 1)^2*(a + 1)^2 + 12*a^8*(a - 1)^2*(a + 1)^2 - 4*a^10*(a - 1)^2*(a + 1)^2 - 2*a^2*(a - 1)*(a + 1) + 10*a^4*(a - 1)*(a + 1) - 20*a^6*(a - 1)*(a + 1) + 20*a^8*(a - 1)*(a + 1) - 10*a^10*(a - 1)*(a + 1) + 2*a^12*(a - 1)*(a + 1) - 2)*512i)/(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1) + ((2*a^4*(a - 1)^2*(a + 1)^2 - 6*a^6*(a - 1)^2*(a + 1)^2 - 4*a^6*(a - 1)^3*(a + 1)^3 + 6*a^8*(a - 1)^2*(a + 1)^2 + 4*a^8*(a - 1)^3*(a + 1)^3 - 2*a^10*(a - 1)^2*(a + 1)^2 + 2*a^2*(a - 1)*(a + 1) - 10*a^4*(a - 1)*(a + 1) + 20*a^6*(a - 1)*(a + 1) - 20*a^8*(a - 1)*(a + 1) + 10*a^10*(a - 1)*(a + 1) - 2*a^12*(a - 1)*(a + 1))*128i)/(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(21*a*(a - 1)^(1/2)*(a + 1)^(1/2) - 126*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 315*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 52*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 420*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 208*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 315*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 312*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 126*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 47*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) + 208*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 21*a^13*(a - 1)^(1/2)*(a + 1)^(1/2) - 94*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) - 52*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) + 47*a^9*(a - 1)^(5/2)*(a + 1)^(5/2) - 16*a^7*(a - 1)^(7/2)*(a + 1)^(7/2))*512i)/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(64*a*(a - 1)^(1/2)*(a + 1)^(1/2) - 384*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 960*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 187*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 1280*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 748*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 960*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 1122*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 384*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 188*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) + 748*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 64*a^13*(a - 1)^(1/2)*(a + 1)^(1/2) - 376*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) - 187*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) + 188*a^9*(a - 1)^(5/2)*(a + 1)^(5/2) - 65*a^7*(a - 1)^(7/2)*(a + 1)^(7/2))*128i)/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1)))/((1024*(a*(a - 1)^(1/2)*(a + 1)^(1/2) - 6*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 15*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 5*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 20*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 20*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 15*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 30*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 6*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) + 20*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + a^13*(a - 1)^(1/2)*(a + 1)^(1/2) - 8*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) - 5*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) + 4*a^9*(a - 1)^(5/2)*(a + 1)^(5/2)))/(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1) + (64*(14*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 56*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 84*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 28*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) - 56*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 56*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) + 14*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) - 28*a^9*(a - 1)^(5/2)*(a + 1)^(5/2) + 14*a^7*(a - 1)^(7/2)*(a + 1)^(7/2)))/(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1) - (256*(14*a*(a - 1)^(1/2)*(a + 1)^(1/2) - 84*a^3*(a - 1)^(1/2)*(a + 1)^(1/2) + 210*a^5*(a - 1)^(1/2)*(a + 1)^(1/2) - 27*a^3*(a - 1)^(3/2)*(a + 1)^(3/2) - 280*a^7*(a - 1)^(1/2)*(a + 1)^(1/2) + 108*a^5*(a - 1)^(3/2)*(a + 1)^(3/2) + 210*a^9*(a - 1)^(1/2)*(a + 1)^(1/2) - 162*a^7*(a - 1)^(3/2)*(a + 1)^(3/2) - 84*a^11*(a - 1)^(1/2)*(a + 1)^(1/2) + 9*a^5*(a - 1)^(5/2)*(a + 1)^(5/2) + 108*a^9*(a - 1)^(3/2)*(a + 1)^(3/2) + 14*a^13*(a - 1)^(1/2)*(a + 1)^(1/2) - 18*a^7*(a - 1)^(5/2)*(a + 1)^(5/2) - 27*a^11*(a - 1)^(3/2)*(a + 1)^(3/2) + 9*a^9*(a - 1)^(5/2)*(a + 1)^(5/2) + 4*a^7*(a - 1)^(7/2)*(a + 1)^(7/2)))/(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1) + (1024*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(70*a^2 - 210*a^4 + 350*a^6 - 350*a^8 + 210*a^10 - 70*a^12 + 10*a^14 - 39*a^4*(a - 1)^2*(a + 1)^2 + 117*a^6*(a - 1)^2*(a + 1)^2 + 16*a^6*(a - 1)^3*(a + 1)^3 - 117*a^8*(a - 1)^2*(a + 1)^2 - 16*a^8*(a - 1)^3*(a + 1)^3 + 39*a^10*(a - 1)^2*(a + 1)^2 + 33*a^2*(a - 1)*(a + 1) - 165*a^4*(a - 1)*(a + 1) + 330*a^6*(a - 1)*(a + 1) - 330*a^8*(a - 1)*(a + 1) + 165*a^10*(a - 1)*(a + 1) - 33*a^12*(a - 1)*(a + 1) - 10))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1)) - (256*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(252*a^2 - 756*a^4 + 1260*a^6 - 1260*a^8 + 756*a^10 - 252*a^12 + 36*a^14 - 179*a^4*(a - 1)^2*(a + 1)^2 + 537*a^6*(a - 1)^2*(a + 1)^2 + 73*a^6*(a - 1)^3*(a + 1)^3 - 537*a^8*(a - 1)^2*(a + 1)^2 - 73*a^8*(a - 1)^3*(a + 1)^3 + 179*a^10*(a - 1)^2*(a + 1)^2 + 142*a^2*(a - 1)*(a + 1) - 710*a^4*(a - 1)*(a + 1) + 1420*a^6*(a - 1)*(a + 1) - 1420*a^8*(a - 1)*(a + 1) + 710*a^10*(a - 1)*(a + 1) - 142*a^12*(a - 1)*(a + 1) - 36))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1)) - (64*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(56*a^4*(a - 1)^2*(a + 1)^2 - 168*a^6*(a - 1)^2*(a + 1)^2 - 28*a^6*(a - 1)^3*(a + 1)^3 + 168*a^8*(a - 1)^2*(a + 1)^2 + 28*a^8*(a - 1)^3*(a + 1)^3 - 56*a^10*(a - 1)^2*(a + 1)^2 - 28*a^2*(a - 1)*(a + 1) + 140*a^4*(a - 1)*(a + 1) - 280*a^6*(a - 1)*(a + 1) + 280*a^8*(a - 1)*(a + 1) - 140*a^10*(a - 1)*(a + 1) + 28*a^12*(a - 1)*(a + 1)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(7*a^2 - 21*a^4 + 35*a^6 - 35*a^8 + 21*a^10 - 7*a^12 + a^14 - 1))))*4i - (b*(a^2 - 1)*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(4*a^2 - 4)) + (a*b*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - a^2 - (a^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + 1)*(a - 1)^(1/2)*(a + 1)^(1/2))/(a^2 - 1) - (a*b*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(a - 1)^(1/2)*(a + 1)^(1/2))/(a^2 - 1)","B"
281,1,958,138,14.149194,"\text{Not used}","int((a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/x^3,x)","\frac{b^2\,\ln\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{2\,a^4-4\,a^2+2}-\frac{\frac{a\,b^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5}{8\,\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(\frac{3\,a\,b^2}{8}-\frac{7\,a^3\,b^2}{8}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3\,\left(a^4-2\,a^2+1\right)}-\frac{b^2\,\sqrt{a-1}\,\sqrt{a+1}}{32\,\left(a^2-1\right)}+\frac{a\,b^2\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{4\,\left(a^2-1\right)\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{b^2}{16}-\frac{11\,a^2\,b^2}{16}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2\,\left(a^4-2\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\sqrt{a-1}\,\sqrt{a+1}\,\left(-\frac{17\,a^4\,b^2}{32}+\frac{9\,a^2\,b^2}{16}+\frac{15\,b^2}{32}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4\,\left(a^6-3\,a^4+3\,a^2-1\right)}}{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\left(6\,a^2-2\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}-\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}}-\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(\frac{a\,b^2}{2\,\left(a-1\right)\,\left(a+1\right)}-\frac{3\,a\,b^2\,{\left(a^2-1\right)}^2}{8\,{\left(a-1\right)}^3\,{\left(a+1\right)}^3}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}-\frac{b^2\,\ln\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-a^2-\frac{a^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+1\right)\,\sqrt{a-1}\,\sqrt{a+1}}{2\,a^4-4\,a^2+2}-\frac{\frac{a}{2}+b\,x}{x^2}+\frac{b^2\,\left(a^2-1\right)\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{32\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}}","Not used",1,"(b^2*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(a - 1)^(1/2)*(a + 1)^(1/2))/(2*a^4 - 4*a^2 + 2) - ((a*b^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5)/(8*(a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*((3*a*b^2)/8 - (7*a^3*b^2)/8))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3*(a^4 - 2*a^2 + 1)) - (b^2*(a - 1)^(1/2)*(a + 1)^(1/2))/(32*(a^2 - 1)) + (a*b^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(4*(a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(b^2/16 - (11*a^2*b^2)/16)*(a - 1)^(1/2)*(a + 1)^(1/2))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2*(a^4 - 2*a^2 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(a - 1)^(1/2)*(a + 1)^(1/2)*((15*b^2)/32 + (9*a^2*b^2)/16 - (17*a^4*b^2)/32))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4*(3*a^2 - 3*a^4 + a^6 - 1)))/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6 + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(6*a^2 - 2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4) - (4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) - (4*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((a*b^2)/(2*(a - 1)*(a + 1)) - (3*a*b^2*(a^2 - 1)^2)/(8*(a - 1)^3*(a + 1)^3)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) - (b^2*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - a^2 - (a^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + 1)*(a - 1)^(1/2)*(a + 1)^(1/2))/(2*a^4 - 4*a^2 + 2) - (a/2 + b*x)/x^2 + (b^2*(a^2 - 1)*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/(32*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2*(a - 1)^(3/2)*(a + 1)^(3/2))","B"
282,1,1537,189,18.888714,"\text{Not used}","int((a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/x^4,x)","\frac{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{3\,b^3}{32}-\frac{a^2\,b^3}{32}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2\,\left(a^4-2\,a^2+1\right)}-\frac{b^3}{192\,\left(a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\left(\frac{5\,a^4\,b^3}{8}+\frac{9\,a^2\,b^3}{8}-\frac{b^3}{2}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4\,\left(a^6-3\,a^4+3\,a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\left(\frac{3\,a^4\,b^3}{64}+\frac{a^2\,b^3}{32}-\frac{21\,b^3}{64}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8\,\left(a^6-3\,a^4+3\,a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\left(\frac{67\,a^6\,b^3}{96}+\frac{11\,a^4\,b^3}{32}-\frac{121\,a^2\,b^3}{32}+\frac{103\,b^3}{96}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{17\,a^3\,b^3}{96}+\frac{17\,a\,b^3}{32}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3\,\left(a^6-3\,a^4+3\,a^2-1\right)}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{9\,a^5\,b^3}{32}+\frac{3\,a^3\,b^3}{16}-\frac{63\,a\,b^3}{32}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{29\,a^5\,b^3}{32}+\frac{17\,a^3\,b^3}{16}-\frac{79\,a\,b^3}{32}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}+\frac{a\,b^3\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{32\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^4-2\,a^2+1\right)}}{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\left(15\,a^2-3\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(15\,a^2-3\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\left(12\,a-20\,a^3\right)\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6\,\left(a^4-2\,a^2+1\right)}-\frac{6\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}-\frac{6\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8}}-\frac{\frac{a}{3}+\frac{b\,x}{2}}{x^3}+\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(\frac{b^3\,\left(1792\,a^4-2048\,a^2+256\right)}{4096\,{\left(a^2-1\right)}^3}-\frac{b^3\,\left(25\,a^2-9\right)}{64\,{\left(a^2-1\right)}^2}+\frac{8\,a\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}\,\left(\frac{a\,b^3\,\sqrt{a-1}\,\sqrt{a+1}}{8\,{\left(a^2-1\right)}^2}-\frac{a\,b^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}}{8\,{\left(a^2-1\right)}^3}\right)}{{\left(a^2-1\right)}^2}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{a\,b^3\,\sqrt{a-1}\,\sqrt{a+1}}{16\,{\left(a^2-1\right)}^2}-\frac{a\,b^3\,{\left(a-1\right)}^{3/2}\,{\left(a+1\right)}^{3/2}}{16\,{\left(a^2-1\right)}^3}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{b^3\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3}{192\,\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}+\frac{a\,b^3\,\ln\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-a^2-\frac{a^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+1\right)\,\sqrt{a-1}\,\sqrt{a+1}}{2\,a^6-6\,a^4+6\,a^2-2}-\frac{a\,b^3\,\ln\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{2\,a^6-6\,a^4+6\,a^2-2}","Not used",1,"((((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*((3*b^3)/32 - (a^2*b^3)/32))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2*(a^4 - 2*a^2 + 1)) - b^3/(192*(a^2 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*((9*a^2*b^3)/8 - b^3/2 + (5*a^4*b^3)/8))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4*(3*a^2 - 3*a^4 + a^6 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*((a^2*b^3)/32 - (21*b^3)/64 + (3*a^4*b^3)/64))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8*(3*a^2 - 3*a^4 + a^6 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*((103*b^3)/96 - (121*a^2*b^3)/32 + (11*a^4*b^3)/32 + (67*a^6*b^3)/96))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*(a - 1)^(1/2)*(a + 1)^(1/2)*((17*a*b^3)/32 + (17*a^3*b^3)/96))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3*(3*a^2 - 3*a^4 + a^6 - 1)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*(a - 1)^(1/2)*(a + 1)^(1/2)*((3*a^3*b^3)/16 - (63*a*b^3)/32 + (9*a^5*b^3)/32))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(a - 1)^(1/2)*(a + 1)^(1/2)*((17*a^3*b^3)/16 - (79*a*b^3)/32 + (29*a^5*b^3)/32))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) + (a*b^3*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/(32*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(a^4 - 2*a^2 + 1)))/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9 + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(15*a^2 - 3))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*(15*a^2 - 3))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*(12*a - 20*a^3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6*(a^4 - 2*a^2 + 1)) - (6*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4) - (6*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8)) - (a/3 + (b*x)/2)/x^3 + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((b^3*(1792*a^4 - 2048*a^2 + 256))/(4096*(a^2 - 1)^3) - (b^3*(25*a^2 - 9))/(64*(a^2 - 1)^2) + (8*a*(a - 1)^(3/2)*(a + 1)^(3/2)*((a*b^3*(a - 1)^(1/2)*(a + 1)^(1/2))/(8*(a^2 - 1)^2) - (a*b^3*(a - 1)^(3/2)*(a + 1)^(3/2))/(8*(a^2 - 1)^3)))/(a^2 - 1)^2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*((a*b^3*(a - 1)^(1/2)*(a + 1)^(1/2))/(16*(a^2 - 1)^2) - (a*b^3*(a - 1)^(3/2)*(a + 1)^(3/2))/(16*(a^2 - 1)^3)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - (b^3*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3)/(192*(a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3) + (a*b^3*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - a^2 - (a^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + 1)*(a - 1)^(1/2)*(a + 1)^(1/2))/(6*a^2 - 6*a^4 + 2*a^6 - 2) - (a*b^3*log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(a - 1)^(1/2)*(a + 1)^(1/2))/(6*a^2 - 6*a^4 + 2*a^6 - 2)","B"
283,1,2347,238,28.031361,"\text{Not used}","int((a + (a + b*x - 1)^(1/2)*(a + b*x + 1)^(1/2) + b*x)/x^5,x)","\frac{\ln\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x-1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}\right)\,\left(b^4\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^2\,b^4\,\sqrt{a-1}\,\sqrt{a+1}\right)}{8\,a^8-32\,a^6+48\,a^4-32\,a^2+8}-\frac{\frac{a}{4}+\frac{b\,x}{3}}{x^4}-\frac{\ln\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-a^2-\frac{a^2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}+\frac{2\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+1\right)\,\left(b^4\,\sqrt{a-1}\,\sqrt{a+1}+4\,a^2\,b^4\,\sqrt{a-1}\,\sqrt{a+1}\right)}{8\,a^8-32\,a^6+48\,a^4-32\,a^2+8}-\frac{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(\frac{17\,a\,b^4}{192}-\frac{5\,a^3\,b^4}{192}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3\,\left(a^6-3\,a^4+3\,a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{11}\,\left(\frac{3\,a^5\,b^4}{128}+\frac{7\,a^3\,b^4}{64}-\frac{81\,a\,b^4}{128}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{11}\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\left(\frac{119\,a^5\,b^4}{384}+\frac{229\,a^3\,b^4}{64}-\frac{119\,a\,b^4}{128}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9\,\left(\frac{239\,a^7\,b^4}{384}+\frac{385\,a^5\,b^4}{128}-\frac{1745\,a^3\,b^4}{128}+\frac{1025\,a\,b^4}{384}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9\,\left(a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(\frac{521\,a^7\,b^4}{384}+\frac{1039\,a^5\,b^4}{128}-\frac{2199\,a^3\,b^4}{128}+\frac{1103\,a\,b^4}{384}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7\,\left(a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1\right)}-\frac{b^4\,\sqrt{a-1}\,\sqrt{a+1}}{1024\,\left(a^4-2\,a^2+1\right)}+\frac{a\,b^4\,\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}{192\,\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)\,\left(a^4-2\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{b^4}{128}-\frac{a^2\,b^4}{384}\right)\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2\,\left(a^6-3\,a^4+3\,a^2-1\right)}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{a^4\,b^4}{1536}+\frac{249\,a^2\,b^4}{256}+\frac{11\,b^4}{512}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4\,\left(a^8-4\,a^6+6\,a^4-4\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}\,\sqrt{a-1}\,\sqrt{a+1}\,\left(-\frac{47\,a^6\,b^4}{256}-\frac{225\,a^4\,b^4}{256}+\frac{1167\,a^2\,b^4}{256}+\frac{b^4}{256}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}\,\left(a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\sqrt{a-1}\,\sqrt{a+1}\,\left(-\frac{707\,a^6\,b^4}{768}-\frac{5365\,a^4\,b^4}{768}+\frac{1665\,a^2\,b^4}{256}+\frac{7\,b^4}{256}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6\,\left(a^{10}-5\,a^8+10\,a^6-10\,a^4+5\,a^2-1\right)}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\sqrt{a-1}\,\sqrt{a+1}\,\left(\frac{3635\,a^8\,b^4}{3072}+\frac{1471\,a^6\,b^4}{256}-\frac{11789\,a^4\,b^4}{512}+\frac{8765\,a^2\,b^4}{768}-\frac{239\,b^4}{1024}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8\,\left(a^{12}-6\,a^{10}+15\,a^8-20\,a^6+15\,a^4-6\,a^2+1\right)}}{\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{12}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{12}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^6\,\left(28\,a^2-4\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^6}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{10}\,\left(28\,a^2-4\right)}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{10}}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^8\,\left(70\,a^4-60\,a^2+6\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^8\,\left(a^4-2\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^7\,\left(24\,a-56\,a^3\right)\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^7\,\left(a^4-2\,a^2+1\right)}+\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^9\,\left(24\,a-56\,a^3\right)\,\sqrt{a-1}\,\sqrt{a+1}}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^9\,\left(a^4-2\,a^2+1\right)}-\frac{8\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^5\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^5}-\frac{8\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^{11}\,\sqrt{a-1}\,\sqrt{a+1}}{\left(a^2-1\right)\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^{11}}}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^2\,\left(\frac{5\,a\,{\left(a^2-1\right)}^2\,\left(\frac{a\,b^4}{32\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2}-\frac{5\,a\,b^4\,{\left(a^2-1\right)}^3}{128\,{\left(a-1\right)}^5\,{\left(a+1\right)}^5}\right)}{{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}-\frac{b^4\,\left(23\,a^2-7\right)}{512\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}+\frac{5\,b^4\,\left(a^2-1\right)\,\left(9\,a^2-1\right)}{512\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^2}-\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^3\,\left(\frac{a\,b^4}{96\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2}-\frac{5\,a\,b^4\,{\left(a^2-1\right)}^3}{384\,{\left(a-1\right)}^5\,{\left(a+1\right)}^5}\right)}{{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^3}+\frac{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)\,\left(\frac{5\,\left(\frac{a\,b^4}{32\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2}-\frac{5\,a\,b^4\,{\left(a^2-1\right)}^3}{128\,{\left(a-1\right)}^5\,{\left(a+1\right)}^5}\right)\,\left(9\,a^2-1\right)}{\left(a-1\right)\,\left(a+1\right)}-\frac{a\,b^4}{16\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2}-\frac{10\,a\,{\left(a^2-1\right)}^2\,\left(\frac{10\,a\,{\left(a^2-1\right)}^2\,\left(\frac{a\,b^4}{32\,{\left(a-1\right)}^2\,{\left(a+1\right)}^2}-\frac{5\,a\,b^4\,{\left(a^2-1\right)}^3}{128\,{\left(a-1\right)}^5\,{\left(a+1\right)}^5}\right)}{{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}-\frac{b^4\,\left(23\,a^2-7\right)}{256\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}+\frac{5\,b^4\,\left(a^2-1\right)\,\left(9\,a^2-1\right)}{256\,{\left(a-1\right)}^{7/2}\,{\left(a+1\right)}^{7/2}}\right)}{{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}+\frac{5\,a\,b^4\,\left(a^2-1\right)\,\left(3\,a^4-4\,a^2+1\right)}{32\,{\left(a-1\right)}^5\,{\left(a+1\right)}^5}\right)}{\sqrt{a+1}-\sqrt{a+b\,x+1}}+\frac{b^4\,\left(a^2-1\right)\,{\left(\sqrt{a-1}-\sqrt{a+b\,x-1}\right)}^4}{1024\,{\left(\sqrt{a+1}-\sqrt{a+b\,x+1}\right)}^4\,{\left(a-1\right)}^{5/2}\,{\left(a+1\right)}^{5/2}}","Not used",1,"(log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)))*(b^4*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^2*b^4*(a - 1)^(1/2)*(a + 1)^(1/2)))/(48*a^4 - 32*a^2 - 32*a^6 + 8*a^8 + 8) - (a/4 + (b*x)/3)/x^4 - (log(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - a^2 - (a^2*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 + (2*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*(a - 1)^(1/2)*(a + 1)^(1/2))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + 1)*(b^4*(a - 1)^(1/2)*(a + 1)^(1/2) + 4*a^2*b^4*(a - 1)^(1/2)*(a + 1)^(1/2)))/(48*a^4 - 32*a^2 - 32*a^6 + 8*a^8 + 8) - ((((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*((17*a*b^4)/192 - (5*a^3*b^4)/192))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3*(3*a^2 - 3*a^4 + a^6 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^11*((7*a^3*b^4)/64 - (81*a*b^4)/128 + (3*a^5*b^4)/128))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^11*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*((229*a^3*b^4)/64 - (119*a*b^4)/128 + (119*a^5*b^4)/384))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9*((1025*a*b^4)/384 - (1745*a^3*b^4)/128 + (385*a^5*b^4)/128 + (239*a^7*b^4)/384))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9*(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*((1103*a*b^4)/384 - (2199*a^3*b^4)/128 + (1039*a^5*b^4)/128 + (521*a^7*b^4)/384))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7*(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1)) - (b^4*(a - 1)^(1/2)*(a + 1)^(1/2))/(1024*(a^4 - 2*a^2 + 1)) + (a*b^4*((a - 1)^(1/2) - (a + b*x - 1)^(1/2)))/(192*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))*(a^4 - 2*a^2 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*(b^4/128 - (a^2*b^4)/384)*(a - 1)^(1/2)*(a + 1)^(1/2))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2*(3*a^2 - 3*a^4 + a^6 - 1)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4*(a - 1)^(1/2)*(a + 1)^(1/2)*((11*b^4)/512 + (249*a^2*b^4)/256 + (a^4*b^4)/1536))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4*(6*a^4 - 4*a^2 - 4*a^6 + a^8 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10*(a - 1)^(1/2)*(a + 1)^(1/2)*(b^4/256 + (1167*a^2*b^4)/256 - (225*a^4*b^4)/256 - (47*a^6*b^4)/256))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10*(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*(a - 1)^(1/2)*(a + 1)^(1/2)*((7*b^4)/256 + (1665*a^2*b^4)/256 - (5365*a^4*b^4)/768 - (707*a^6*b^4)/768))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6*(5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 1)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*(a - 1)^(1/2)*(a + 1)^(1/2)*((8765*a^2*b^4)/768 - (239*b^4)/1024 - (11789*a^4*b^4)/512 + (1471*a^6*b^4)/256 + (3635*a^8*b^4)/3072))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8*(15*a^4 - 6*a^2 - 20*a^6 + 15*a^8 - 6*a^10 + a^12 + 1)))/(((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4 + ((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^12/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^12 + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^6*(28*a^2 - 4))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^6) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^10*(28*a^2 - 4))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^10) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^8*(70*a^4 - 60*a^2 + 6))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^8*(a^4 - 2*a^2 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^7*(24*a - 56*a^3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^7*(a^4 - 2*a^2 + 1)) + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^9*(24*a - 56*a^3)*(a - 1)^(1/2)*(a + 1)^(1/2))/(((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^9*(a^4 - 2*a^2 + 1)) - (8*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^5*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^5) - (8*a*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^11*(a - 1)^(1/2)*(a + 1)^(1/2))/((a^2 - 1)*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^11)) - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^2*((5*a*(a^2 - 1)^2*((a*b^4)/(32*(a - 1)^2*(a + 1)^2) - (5*a*b^4*(a^2 - 1)^3)/(128*(a - 1)^5*(a + 1)^5)))/((a - 1)^(5/2)*(a + 1)^(5/2)) - (b^4*(23*a^2 - 7))/(512*(a - 1)^(5/2)*(a + 1)^(5/2)) + (5*b^4*(a^2 - 1)*(9*a^2 - 1))/(512*(a - 1)^(7/2)*(a + 1)^(7/2))))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^2 - (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^3*((a*b^4)/(96*(a - 1)^2*(a + 1)^2) - (5*a*b^4*(a^2 - 1)^3)/(384*(a - 1)^5*(a + 1)^5)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^3 + (((a - 1)^(1/2) - (a + b*x - 1)^(1/2))*((5*((a*b^4)/(32*(a - 1)^2*(a + 1)^2) - (5*a*b^4*(a^2 - 1)^3)/(128*(a - 1)^5*(a + 1)^5))*(9*a^2 - 1))/((a - 1)*(a + 1)) - (a*b^4)/(16*(a - 1)^2*(a + 1)^2) - (10*a*(a^2 - 1)^2*((10*a*(a^2 - 1)^2*((a*b^4)/(32*(a - 1)^2*(a + 1)^2) - (5*a*b^4*(a^2 - 1)^3)/(128*(a - 1)^5*(a + 1)^5)))/((a - 1)^(5/2)*(a + 1)^(5/2)) - (b^4*(23*a^2 - 7))/(256*(a - 1)^(5/2)*(a + 1)^(5/2)) + (5*b^4*(a^2 - 1)*(9*a^2 - 1))/(256*(a - 1)^(7/2)*(a + 1)^(7/2))))/((a - 1)^(5/2)*(a + 1)^(5/2)) + (5*a*b^4*(a^2 - 1)*(3*a^4 - 4*a^2 + 1))/(32*(a - 1)^5*(a + 1)^5)))/((a + 1)^(1/2) - (a + b*x + 1)^(1/2)) + (b^4*(a^2 - 1)*((a - 1)^(1/2) - (a + b*x - 1)^(1/2))^4)/(1024*((a + 1)^(1/2) - (a + b*x + 1)^(1/2))^4*(a - 1)^(5/2)*(a + 1)^(5/2))","B"
284,0,-1,359,0.000000,"\text{Not used}","int(x^3*exp(acosh(a + b*x)^2),x)","\int x^3\,{\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^3*exp(acosh(a + b*x)^2), x)","F"
285,0,-1,251,0.000000,"\text{Not used}","int(x^2*exp(acosh(a + b*x)^2),x)","\int x^2\,{\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x^2*exp(acosh(a + b*x)^2), x)","F"
286,0,-1,117,0.000000,"\text{Not used}","int(x*exp(acosh(a + b*x)^2),x)","\int x\,{\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(x*exp(acosh(a + b*x)^2), x)","F"
287,0,-1,65,0.000000,"\text{Not used}","int(exp(acosh(a + b*x)^2),x)","\int {\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(exp(acosh(a + b*x)^2), x)","F"
288,0,-1,17,0.000000,"\text{Not used}","int(exp(acosh(a + b*x)^2)/x,x)","\int \frac{{\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2}}{x} \,d x","Not used",0,"int(exp(acosh(a + b*x)^2)/x, x)","F"
289,0,-1,17,0.000000,"\text{Not used}","int(exp(acosh(a + b*x)^2)/x^2,x)","\int \frac{{\mathrm{e}}^{{\mathrm{acosh}\left(a+b\,x\right)}^2}}{x^2} \,d x","Not used",0,"int(exp(acosh(a + b*x)^2)/x^2, x)","F"
290,0,-1,60,0.000000,"\text{Not used}","int(acosh(a + b*x)/(d*x + (a*d)/b),x)","\int \frac{\mathrm{acosh}\left(a+b\,x\right)}{d\,x+\frac{a\,d}{b}} \,d x","Not used",1,"int(acosh(a + b*x)/(d*x + (a*d)/b), x)","F"
291,0,-1,3,0.000000,"\text{Not used}","int(x/(acosh(x)*(x - 1)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x}{\mathrm{acosh}\left(x\right)\,\sqrt{x-1}\,\sqrt{x+1}} \,d x","Not used",1,"int(x/(acosh(x)*(x - 1)^(1/2)*(x + 1)^(1/2)), x)","F"
292,1,295,54,4.682657,"\text{Not used}","int(x^3*acosh(a + b*x^4),x)","\frac{x^4\,\mathrm{acosh}\left(b\,x^4+a\right)}{4}-\frac{\frac{4\,a\,\left(\sqrt{a-1}-\sqrt{b\,x^4+a-1}\right)}{b\,\left(\sqrt{a+1}-\sqrt{b\,x^4+a+1}\right)}+\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{b\,x^4+a-1}\right)}^3}{b\,{\left(\sqrt{a+1}-\sqrt{b\,x^4+a+1}\right)}^3}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{b\,x^4+a-1}\right)}^2\,\sqrt{a-1}\,\sqrt{a+1}}{b\,{\left(\sqrt{a+1}-\sqrt{b\,x^4+a+1}\right)}^2}}{4\,\left(\frac{{\left(\sqrt{a-1}-\sqrt{b\,x^4+a-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{b\,x^4+a+1}\right)}^4}-\frac{2\,{\left(\sqrt{a-1}-\sqrt{b\,x^4+a-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{b\,x^4+a+1}\right)}^2}+1\right)}+\frac{a\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{b\,x^4+a-1}}{\sqrt{a+1}-\sqrt{b\,x^4+a+1}}\right)}{b}","Not used",1,"(x^4*acosh(a + b*x^4))/4 - ((4*a*((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2)))/(b*((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))) + (4*a*((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2))^3)/(b*((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))^3) - (8*((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2))^2*(a - 1)^(1/2)*(a + 1)^(1/2))/(b*((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))^2))/(4*(((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2))^4/((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))^4 - (2*((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))^2 + 1)) + (a*atanh(((a - 1)^(1/2) - (a + b*x^4 - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x^4 + 1)^(1/2))))/b","B"
293,1,303,55,1.067722,"\text{Not used}","int(x^(n - 1)*acosh(a + b*x^n),x)","\frac{x^n\,\mathrm{acosh}\left(a+b\,x^n\right)}{n}-\frac{\frac{4\,a\,{\left(\sqrt{a-1}-\sqrt{a+b\,x^n-1}\right)}^3}{b\,{\left(\sqrt{a+1}-\sqrt{a+b\,x^n+1}\right)}^3}+\frac{4\,a\,\left(\sqrt{a-1}-\sqrt{a+b\,x^n-1}\right)}{b\,\left(\sqrt{a+1}-\sqrt{a+b\,x^n+1}\right)}-\frac{8\,{\left(\sqrt{a-1}-\sqrt{a+b\,x^n-1}\right)}^2\,\sqrt{a-1}\,\sqrt{a+1}}{b\,{\left(\sqrt{a+1}-\sqrt{a+b\,x^n+1}\right)}^2}}{n\,\left(\frac{{\left(\sqrt{a-1}-\sqrt{a+b\,x^n-1}\right)}^4}{{\left(\sqrt{a+1}-\sqrt{a+b\,x^n+1}\right)}^4}-\frac{2\,{\left(\sqrt{a-1}-\sqrt{a+b\,x^n-1}\right)}^2}{{\left(\sqrt{a+1}-\sqrt{a+b\,x^n+1}\right)}^2}+1\right)}+\frac{4\,a\,\mathrm{atanh}\left(\frac{\sqrt{a-1}-\sqrt{a+b\,x^n-1}}{\sqrt{a+1}-\sqrt{a+b\,x^n+1}}\right)}{b\,n}","Not used",1,"(x^n*acosh(a + b*x^n))/n - ((4*a*((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2))^3)/(b*((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))^3) + (4*a*((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2)))/(b*((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))) - (8*((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2))^2*(a - 1)^(1/2)*(a + 1)^(1/2))/(b*((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))^2))/(n*(((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2))^4/((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))^4 - (2*((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2))^2)/((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))^2 + 1)) + (4*a*atanh(((a - 1)^(1/2) - (a + b*x^n - 1)^(1/2))/((a + 1)^(1/2) - (a + b*x^n + 1)^(1/2))))/(b*n)","B"
294,1,53,58,1.512446,"\text{Not used}","int(acosh(c/(a + b*x)),x)","\frac{\mathrm{acosh}\left(\frac{c}{a+b\,x}\right)\,\left(a+b\,x\right)}{b}+\frac{c\,\mathrm{atan}\left(\frac{1}{\sqrt{\frac{c}{a+b\,x}-1}\,\sqrt{\frac{c}{a+b\,x}+1}}\right)}{b}","Not used",1,"(acosh(c/(a + b*x))*(a + b*x))/b + (c*atan(1/((c/(a + b*x) - 1)^(1/2)*(c/(a + b*x) + 1)^(1/2))))/b","B"
295,0,-1,62,0.000000,"\text{Not used}","int(acosh((b*x^2 + 1)^(1/2))^n/(b*x^2 + 1)^(1/2),x)","\int \frac{{\mathrm{acosh}\left(\sqrt{b\,x^2+1}\right)}^n}{\sqrt{b\,x^2+1}} \,d x","Not used",1,"int(acosh((b*x^2 + 1)^(1/2))^n/(b*x^2 + 1)^(1/2), x)","F"
296,0,-1,54,0.000000,"\text{Not used}","int(1/(acosh((b*x^2 + 1)^(1/2))*(b*x^2 + 1)^(1/2)),x)","\int \frac{1}{\mathrm{acosh}\left(\sqrt{b\,x^2+1}\right)\,\sqrt{b\,x^2+1}} \,d x","Not used",1,"int(1/(acosh((b*x^2 + 1)^(1/2))*(b*x^2 + 1)^(1/2)), x)","F"