1,1,167,0,0.367407," ","integrate((e*x+d)^3*arccosh(c*x),x, algorithm=""giac"")","\frac{1}{4} \, {\left(x e + d\right)}^{4} e^{\left(-1\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \frac{1}{96} \, {\left(\sqrt{c^{2} x^{2} - 1} {\left({\left(2 \, x {\left(\frac{3 \, x e^{4}}{c} + \frac{16 \, d e^{3}}{c}\right)} + \frac{9 \, {\left(8 \, c^{5} d^{2} e^{2} + c^{3} e^{4}\right)}}{c^{6}}\right)} x + \frac{32 \, {\left(3 \, c^{5} d^{3} e + 2 \, c^{3} d e^{3}\right)}}{c^{6}}\right)} - \frac{3 \, {\left(8 \, c^{4} d^{4} + 24 \, c^{2} d^{2} e^{2} + 3 \, e^{4}\right)} \log\left({\left| -x {\left| c \right|} + \sqrt{c^{2} x^{2} - 1} \right|}\right)}{c^{3} {\left| c \right|}}\right)} e^{\left(-1\right)}"," ",0,"1/4*(x*e + d)^4*e^(-1)*log(c*x + sqrt(c^2*x^2 - 1)) - 1/96*(sqrt(c^2*x^2 - 1)*((2*x*(3*x*e^4/c + 16*d*e^3/c) + 9*(8*c^5*d^2*e^2 + c^3*e^4)/c^6)*x + 32*(3*c^5*d^3*e + 2*c^3*d*e^3)/c^6) - 3*(8*c^4*d^4 + 24*c^2*d^2*e^2 + 3*e^4)*log(abs(-x*abs(c) + sqrt(c^2*x^2 - 1)))/(c^3*abs(c)))*e^(-1)","A",0
2,1,129,0,0.350348," ","integrate((e*x+d)^2*arccosh(c*x),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} e^{\left(-1\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \frac{1}{18} \, {\left(\sqrt{c^{2} x^{2} - 1} {\left(x {\left(\frac{2 \, x e^{3}}{c} + \frac{9 \, d e^{2}}{c}\right)} + \frac{2 \, {\left(9 \, c^{3} d^{2} e + 2 \, c e^{3}\right)}}{c^{4}}\right)} - \frac{3 \, {\left(2 \, c^{2} d^{3} + 3 \, d e^{2}\right)} \log\left({\left| -x {\left| c \right|} + \sqrt{c^{2} x^{2} - 1} \right|}\right)}{c {\left| c \right|}}\right)} e^{\left(-1\right)}"," ",0,"1/3*(x*e + d)^3*e^(-1)*log(c*x + sqrt(c^2*x^2 - 1)) - 1/18*(sqrt(c^2*x^2 - 1)*(x*(2*x*e^3/c + 9*d*e^2/c) + 2*(9*c^3*d^2*e + 2*c*e^3)/c^4) - 3*(2*c^2*d^3 + 3*d*e^2)*log(abs(-x*abs(c) + sqrt(c^2*x^2 - 1)))/(c*abs(c)))*e^(-1)","A",0
3,1,87,0,0.285149," ","integrate((e*x+d)*arccosh(c*x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x^{2} e + 2 \, d x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \frac{1}{4} \, \sqrt{c^{2} x^{2} - 1} {\left(\frac{x e}{c} + \frac{4 \, d}{c}\right)} + \frac{e \log\left({\left| -x {\left| c \right|} + \sqrt{c^{2} x^{2} - 1} \right|}\right)}{4 \, c {\left| c \right|}}"," ",0,"1/2*(x^2*e + 2*d*x)*log(c*x + sqrt(c^2*x^2 - 1)) - 1/4*sqrt(c^2*x^2 - 1)*(x*e/c + 4*d/c) + 1/4*e*log(abs(-x*abs(c) + sqrt(c^2*x^2 - 1)))/(c*abs(c))","A",0
4,0,0,0,0.000000," ","integrate(arccosh(c*x)/(e*x+d),x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(c x\right)}{e x + d}\,{d x}"," ",0,"integrate(arccosh(c*x)/(e*x + d), x)","F",0
5,1,215,0,1.149481," ","integrate(arccosh(c*x)/(e*x+d)^2,x, algorithm=""giac"")","{\left(\frac{c e^{3} \log\left({\left| c^{2} d - \sqrt{c^{2} d^{2} - e^{2}} {\left| c \right|} \right|}\right) \mathrm{sgn}\left(\frac{1}{x e + d}\right)}{\sqrt{c^{2} d^{2} - e^{2}}} - \frac{c e^{3} \log\left({\left| c^{2} d - \sqrt{c^{2} d^{2} - e^{2}} {\left(\sqrt{c^{2} - \frac{2 \, c^{2} d}{x e + d} + \frac{c^{2} d^{2}}{{\left(x e + d\right)}^{2}} - \frac{e^{2}}{{\left(x e + d\right)}^{2}}} + \frac{\sqrt{c^{2} d^{2} e^{2} - e^{4}} e^{\left(-1\right)}}{x e + d}\right)} \right|}\right)}{\sqrt{c^{2} d^{2} - e^{2}} \mathrm{sgn}\left(\frac{1}{x e + d}\right)}\right)} e^{\left(-4\right)} - \frac{e^{\left(-1\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{x e + d}"," ",0,"(c*e^3*log(abs(c^2*d - sqrt(c^2*d^2 - e^2)*abs(c)))*sgn(1/(x*e + d))/sqrt(c^2*d^2 - e^2) - c*e^3*log(abs(c^2*d - sqrt(c^2*d^2 - e^2)*(sqrt(c^2 - 2*c^2*d/(x*e + d) + c^2*d^2/(x*e + d)^2 - e^2/(x*e + d)^2) + sqrt(c^2*d^2*e^2 - e^4)*e^(-1)/(x*e + d))))/(sqrt(c^2*d^2 - e^2)*sgn(1/(x*e + d))))*e^(-4) - e^(-1)*log(c*x + sqrt(c^2*x^2 - 1))/(x*e + d)","B",0
6,-2,0,0,0.000000," ","integrate(arccosh(c*x)/(e*x+d)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
7,-2,0,0,0.000000," ","integrate(arccosh(c*x)/(e*x+d)^4,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
8,-2,0,0,0.000000," ","integrate((e*x+d)^3*arccosh(c*x)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
9,-2,0,0,0.000000," ","integrate((e*x+d)^2*arccosh(c*x)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
10,-2,0,0,0.000000," ","integrate((e*x+d)*arccosh(c*x)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
11,0,0,0,0.000000," ","integrate(arccosh(c*x)^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(c x\right)^{2}}{e x + d}\,{d x}"," ",0,"integrate(arccosh(c*x)^2/(e*x + d), x)","F",0
12,-2,0,0,0.000000," ","integrate(arccosh(c*x)^2/(e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 2.95index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
13,-2,0,0,0.000000," ","integrate(arccosh(c*x)^2/(e*x+d)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
14,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
15,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
16,1,126,0,0.484584," ","integrate((e*x+d)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","{\left(x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \frac{\sqrt{c^{2} x^{2} - 1}}{c}\right)} b d + a d x + \frac{1}{4} \, {\left(2 \, a x^{2} + {\left(2 \, x^{2} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - c {\left(\frac{\sqrt{c^{2} x^{2} - 1} x}{c^{2}} - \frac{\log\left({\left| -x {\left| c \right|} + \sqrt{c^{2} x^{2} - 1} \right|}\right)}{c^{2} {\left| c \right|}}\right)}\right)} b\right)} e"," ",0,"(x*log(c*x + sqrt(c^2*x^2 - 1)) - sqrt(c^2*x^2 - 1)/c)*b*d + a*d*x + 1/4*(2*a*x^2 + (2*x^2*log(c*x + sqrt(c^2*x^2 - 1)) - c*(sqrt(c^2*x^2 - 1)*x/c^2 - log(abs(-x*abs(c) + sqrt(c^2*x^2 - 1)))/(c^2*abs(c))))*b)*e","A",0
17,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/(e*x + d), x)","F",0
18,1,231,0,1.078499," ","integrate((a+b*arccosh(c*x))/(e*x+d)^2,x, algorithm=""giac"")","{\left({\left(\frac{c e^{3} \log\left({\left| c^{2} d - \sqrt{c^{2} d^{2} - e^{2}} {\left| c \right|} \right|}\right) \mathrm{sgn}\left(\frac{1}{x e + d}\right)}{\sqrt{c^{2} d^{2} - e^{2}}} - \frac{c e^{3} \log\left({\left| c^{2} d - \sqrt{c^{2} d^{2} - e^{2}} {\left(\sqrt{c^{2} - \frac{2 \, c^{2} d}{x e + d} + \frac{c^{2} d^{2}}{{\left(x e + d\right)}^{2}} - \frac{e^{2}}{{\left(x e + d\right)}^{2}}} + \frac{\sqrt{c^{2} d^{2} e^{2} - e^{4}} e^{\left(-1\right)}}{x e + d}\right)} \right|}\right)}{\sqrt{c^{2} d^{2} - e^{2}} \mathrm{sgn}\left(\frac{1}{x e + d}\right)}\right)} e^{\left(-4\right)} - \frac{e^{\left(-1\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{x e + d}\right)} b - \frac{a e^{\left(-1\right)}}{x e + d}"," ",0,"((c*e^3*log(abs(c^2*d - sqrt(c^2*d^2 - e^2)*abs(c)))*sgn(1/(x*e + d))/sqrt(c^2*d^2 - e^2) - c*e^3*log(abs(c^2*d - sqrt(c^2*d^2 - e^2)*(sqrt(c^2 - 2*c^2*d/(x*e + d) + c^2*d^2/(x*e + d)^2 - e^2/(x*e + d)^2) + sqrt(c^2*d^2*e^2 - e^4)*e^(-1)/(x*e + d))))/(sqrt(c^2*d^2 - e^2)*sgn(1/(x*e + d))))*e^(-4) - e^(-1)*log(c*x + sqrt(c^2*x^2 - 1))/(x*e + d))*b - a*e^(-1)/(x*e + d)","B",0
19,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/(e*x + d)^3, x)","F",0
20,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/(e*x + d)^4, x)","F",0
21,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
22,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
23,-2,0,0,0.000000," ","integrate((e*x+d)*(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
24,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)^2/(e*x + d), x)","F",0
25,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)^2/(e*x + d)^2, x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)^2/(e*x + d)^3, x)","F",0
27,0,0,0,0.000000," ","integrate((e*x+d)^3/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{3}}{b \operatorname{arcosh}\left(c x\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^3/(b*arccosh(c*x) + a), x)","F",0
28,0,0,0,0.000000," ","integrate((e*x+d)^2/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{2}}{b \operatorname{arcosh}\left(c x\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^2/(b*arccosh(c*x) + a), x)","F",0
29,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{e x + d}{b \operatorname{arcosh}\left(c x\right) + a}\,{d x}"," ",0,"integrate((e*x + d)/(b*arccosh(c*x) + a), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*arccosh(c*x) + a)), x)","F",0
31,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)}^{2} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x + d)^2*(b*arccosh(c*x) + a)), x)","F",0
32,0,0,0,0.000000," ","integrate((e*x+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^2/(b*arccosh(c*x) + a)^2, x)","F",0
33,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int \frac{e x + d}{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)/(b*arccosh(c*x) + a)^2, x)","F",0
34,0,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*arccosh(c*x) + a)^2), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)}^{2} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x + d)^2*(b*arccosh(c*x) + a)^2), x)","F",0
36,0,0,0,0.000000," ","integrate((e*x+d)^m*(a+b*arccosh(c*x))^3,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{3} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)^3*(e*x + d)^m, x)","F",0
37,0,0,0,0.000000," ","integrate((e*x+d)^m*(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)^2*(e*x + d)^m, x)","F",0
38,0,0,0,0.000000," ","integrate((e*x+d)^m*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} {\left(e x + d\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)*(e*x + d)^m, x)","F",0
39,0,0,0,0.000000," ","integrate((e*x+d)^m/(a+b*arccosh(c*x)),x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{m}}{b \operatorname{arcosh}\left(c x\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^m/(b*arccosh(c*x) + a), x)","F",0
40,0,0,0,0.000000," ","integrate((e*x+d)^m/(a+b*arccosh(c*x))^2,x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{m}}{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x + d)^m/(b*arccosh(c*x) + a)^2, x)","F",0
41,1,316,0,0.333230," ","integrate((d*x^2+c)^4*arccosh(a*x),x, algorithm=""giac"")","\frac{1}{315} \, {\left(35 \, d^{4} x^{9} + 180 \, c d^{3} x^{7} + 378 \, c^{2} d^{2} x^{5} + 420 \, c^{3} d x^{3} + 315 \, c^{4} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - \frac{{\left(315 \, a^{8} c^{4} + 420 \, a^{6} c^{3} d + 378 \, a^{4} c^{2} d^{2} + 180 \, a^{2} c d^{3} + 35 \, d^{4}\right)} \sqrt{a^{2} x^{2} - 1}}{315 \, a^{9}} - \frac{44100 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{6} c^{3} d + 23814 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} a^{4} c^{2} d^{2} + 79380 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{4} c^{2} d^{2} + 8100 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{7}{2}} a^{2} c d^{3} + 34020 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} a^{2} c d^{3} + 1225 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{9}{2}} d^{4} + 56700 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{2} c d^{3} + 6300 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{7}{2}} d^{4} + 13230 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} d^{4} + 14700 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} d^{4}}{99225 \, a^{9}}"," ",0,"1/315*(35*d^4*x^9 + 180*c*d^3*x^7 + 378*c^2*d^2*x^5 + 420*c^3*d*x^3 + 315*c^4*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 1/315*(315*a^8*c^4 + 420*a^6*c^3*d + 378*a^4*c^2*d^2 + 180*a^2*c*d^3 + 35*d^4)*sqrt(a^2*x^2 - 1)/a^9 - 1/99225*(44100*(a^2*x^2 - 1)^(3/2)*a^6*c^3*d + 23814*(a^2*x^2 - 1)^(5/2)*a^4*c^2*d^2 + 79380*(a^2*x^2 - 1)^(3/2)*a^4*c^2*d^2 + 8100*(a^2*x^2 - 1)^(7/2)*a^2*c*d^3 + 34020*(a^2*x^2 - 1)^(5/2)*a^2*c*d^3 + 1225*(a^2*x^2 - 1)^(9/2)*d^4 + 56700*(a^2*x^2 - 1)^(3/2)*a^2*c*d^3 + 6300*(a^2*x^2 - 1)^(7/2)*d^4 + 13230*(a^2*x^2 - 1)^(5/2)*d^4 + 14700*(a^2*x^2 - 1)^(3/2)*d^4)/a^9","A",0
42,1,214,0,0.380172," ","integrate((d*x^2+c)^3*arccosh(a*x),x, algorithm=""giac"")","\frac{1}{35} \, {\left(5 \, d^{3} x^{7} + 21 \, c d^{2} x^{5} + 35 \, c^{2} d x^{3} + 35 \, c^{3} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - \frac{{\left(35 \, a^{6} c^{3} + 35 \, a^{4} c^{2} d + 21 \, a^{2} c d^{2} + 5 \, d^{3}\right)} \sqrt{a^{2} x^{2} - 1}}{35 \, a^{7}} - \frac{1225 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{4} c^{2} d + 441 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} a^{2} c d^{2} + 1470 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{2} c d^{2} + 75 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{7}{2}} d^{3} + 315 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} d^{3} + 525 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} d^{3}}{3675 \, a^{7}}"," ",0,"1/35*(5*d^3*x^7 + 21*c*d^2*x^5 + 35*c^2*d*x^3 + 35*c^3*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 1/35*(35*a^6*c^3 + 35*a^4*c^2*d + 21*a^2*c*d^2 + 5*d^3)*sqrt(a^2*x^2 - 1)/a^7 - 1/3675*(1225*(a^2*x^2 - 1)^(3/2)*a^4*c^2*d + 441*(a^2*x^2 - 1)^(5/2)*a^2*c*d^2 + 1470*(a^2*x^2 - 1)^(3/2)*a^2*c*d^2 + 75*(a^2*x^2 - 1)^(7/2)*d^3 + 315*(a^2*x^2 - 1)^(5/2)*d^3 + 525*(a^2*x^2 - 1)^(3/2)*d^3)/a^7","A",0
43,1,134,0,0.307621," ","integrate((d*x^2+c)^2*arccosh(a*x),x, algorithm=""giac"")","\frac{1}{15} \, {\left(3 \, d^{2} x^{5} + 10 \, c d x^{3} + 15 \, c^{2} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - \frac{{\left(15 \, a^{4} c^{2} + 10 \, a^{2} c d + 3 \, d^{2}\right)} \sqrt{a^{2} x^{2} - 1}}{15 \, a^{5}} - \frac{50 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} a^{2} c d + 9 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{5}{2}} d^{2} + 30 \, {\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} d^{2}}{225 \, a^{5}}"," ",0,"1/15*(3*d^2*x^5 + 10*c*d*x^3 + 15*c^2*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 1/15*(15*a^4*c^2 + 10*a^2*c*d + 3*d^2)*sqrt(a^2*x^2 - 1)/a^5 - 1/225*(50*(a^2*x^2 - 1)^(3/2)*a^2*c*d + 9*(a^2*x^2 - 1)^(5/2)*d^2 + 30*(a^2*x^2 - 1)^(3/2)*d^2)/a^5","A",0
44,1,70,0,0.309910," ","integrate((d*x^2+c)*arccosh(a*x),x, algorithm=""giac"")","\frac{1}{3} \, {\left(d x^{3} + 3 \, c x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - \frac{{\left(a^{2} x^{2} - 1\right)}^{\frac{3}{2}} d}{9 \, a^{3}} - \frac{\sqrt{a^{2} x^{2} - 1} {\left(3 \, a^{2} c + d\right)}}{3 \, a^{3}}"," ",0,"1/3*(d*x^3 + 3*c*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 1/9*(a^2*x^2 - 1)^(3/2)*d/a^3 - 1/3*sqrt(a^2*x^2 - 1)*(3*a^2*c + d)/a^3","A",0
45,0,0,0,0.000000," ","integrate(arccosh(a*x)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(a x\right)}{d x^{2} + c}\,{d x}"," ",0,"integrate(arccosh(a*x)/(d*x^2 + c), x)","F",0
46,0,0,0,0.000000," ","integrate(arccosh(a*x)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(a x\right)}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate(arccosh(a*x)/(d*x^2 + c)^2, x)","F",0
47,0,0,0,0.000000," ","integrate((d*x^2+c)^(1/2)*arccosh(a*x),x, algorithm=""giac"")","\int \sqrt{d x^{2} + c} \operatorname{arcosh}\left(a x\right)\,{d x}"," ",0,"integrate(sqrt(d*x^2 + c)*arccosh(a*x), x)","F",0
48,0,0,0,0.000000," ","integrate(arccosh(a*x)/(d*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(a x\right)}{\sqrt{d x^{2} + c}}\,{d x}"," ",0,"integrate(arccosh(a*x)/sqrt(d*x^2 + c), x)","F",0
49,1,82,0,0.617378," ","integrate(arccosh(a*x)/(d*x^2+c)^(3/2),x, algorithm=""giac"")","\frac{x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{\sqrt{d x^{2} + c} c} + \frac{a \log\left({\left| -\sqrt{a^{2} x^{2} - 1} \sqrt{d} + \sqrt{a^{2} c + {\left(a^{2} x^{2} - 1\right)} d + d} \right|}\right)}{c \sqrt{d} {\left| a \right|}}"," ",0,"x*log(a*x + sqrt(a^2*x^2 - 1))/(sqrt(d*x^2 + c)*c) + a*log(abs(-sqrt(a^2*x^2 - 1)*sqrt(d) + sqrt(a^2*c + (a^2*x^2 - 1)*d + d)))/(c*sqrt(d)*abs(a))","A",0
50,1,190,0,0.596462," ","integrate(arccosh(a*x)/(d*x^2+c)^(5/2),x, algorithm=""giac"")","-\frac{1}{3} \, a {\left(\frac{2 \, a^{2} {\left| d \right|}}{{\left(a^{2} c d + {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} + d^{2}\right)} c \sqrt{d} {\left| a \right|}} - \frac{{\left| d \right|} \log\left({\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2}\right)}{c^{2} d^{\frac{3}{2}} {\left| a \right|}}\right)} + \frac{x {\left(\frac{2 \, d x^{2}}{c^{2}} + \frac{3}{c}\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{3 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}}}"," ",0,"-1/3*a*(2*a^2*abs(d)/((a^2*c*d + (sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2 + d^2)*c*sqrt(d)*abs(a)) - abs(d)*log((sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2)/(c^2*d^(3/2)*abs(a))) + 1/3*x*(2*d*x^2/c^2 + 3/c)*log(a*x + sqrt(a^2*x^2 - 1))/(d*x^2 + c)^(3/2)","A",0
51,1,411,0,0.761215," ","integrate(arccosh(a*x)/(d*x^2+c)^(7/2),x, algorithm=""giac"")","\frac{4}{15} \, a {\left(\frac{{\left| d \right|} \log\left({\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2}\right)}{c^{3} d^{\frac{3}{2}} {\left| a \right|}} - \frac{3 \, a^{6} c^{2} d^{\frac{5}{2}} {\left| d \right|} + 7 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{4} c d^{\frac{3}{2}} {\left| d \right|} + 5 \, a^{4} c d^{\frac{7}{2}} {\left| d \right|} + 2 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{4} a^{2} \sqrt{d} {\left| d \right|} + 4 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{2} d^{\frac{5}{2}} {\left| d \right|} + 2 \, a^{2} d^{\frac{9}{2}} {\left| d \right|}}{{\left(a^{2} c d + {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} + d^{2}\right)}^{3} c^{2} d {\left| a \right|}}\right)} + \frac{{\left(4 \, x^{2} {\left(\frac{2 \, d^{2} x^{2}}{c^{3}} + \frac{5 \, d}{c^{2}}\right)} + \frac{15}{c}\right)} x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{15 \, {\left(d x^{2} + c\right)}^{\frac{5}{2}}}"," ",0,"4/15*a*(abs(d)*log((sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2)/(c^3*d^(3/2)*abs(a)) - (3*a^6*c^2*d^(5/2)*abs(d) + 7*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^4*c*d^(3/2)*abs(d) + 5*a^4*c*d^(7/2)*abs(d) + 2*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^4*a^2*sqrt(d)*abs(d) + 4*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^2*d^(5/2)*abs(d) + 2*a^2*d^(9/2)*abs(d))/((a^2*c*d + (sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2 + d^2)^3*c^2*d*abs(a))) + 1/15*(4*x^2*(2*d^2*x^2/c^3 + 5*d/c^2) + 15/c)*x*log(a*x + sqrt(a^2*x^2 - 1))/(d*x^2 + c)^(5/2)","A",0
52,1,876,0,1.191702," ","integrate(arccosh(a*x)/(d*x^2+c)^(9/2),x, algorithm=""giac"")","\frac{8}{105} \, a {\left(\frac{3 \, {\left| d \right|} \log\left({\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2}\right)}{c^{4} d^{\frac{3}{2}} {\left| a \right|}} - \frac{11 \, a^{10} c^{4} d^{\frac{9}{2}} {\left| d \right|} + 49 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{8} c^{3} d^{\frac{7}{2}} {\left| d \right|} + 37 \, a^{8} c^{3} d^{\frac{11}{2}} {\left| d \right|} + 77 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{4} a^{6} c^{2} d^{\frac{5}{2}} {\left| d \right|} + 112 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{6} c^{2} d^{\frac{9}{2}} {\left| d \right|} + 47 \, a^{6} c^{2} d^{\frac{13}{2}} {\left| d \right|} + 33 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{6} a^{4} c d^{\frac{3}{2}} {\left| d \right|} + 93 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{4} a^{4} c d^{\frac{7}{2}} {\left| d \right|} + 87 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{4} c d^{\frac{11}{2}} {\left| d \right|} + 27 \, a^{4} c d^{\frac{15}{2}} {\left| d \right|} + 6 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{8} a^{2} \sqrt{d} {\left| d \right|} + 24 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{6} a^{2} d^{\frac{5}{2}} {\left| d \right|} + 36 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{4} a^{2} d^{\frac{9}{2}} {\left| d \right|} + 24 \, {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} a^{2} d^{\frac{13}{2}} {\left| d \right|} + 6 \, a^{2} d^{\frac{17}{2}} {\left| d \right|}}{{\left(a^{2} c d + {\left(\sqrt{a^{2} d} \sqrt{d x^{2} + c} - \sqrt{{\left(d x^{2} + c\right)} a^{2} d - a^{2} c d - d^{2}}\right)}^{2} + d^{2}\right)}^{5} c^{3} d {\left| a \right|}}\right)} + \frac{{\left(2 \, {\left(4 \, x^{2} {\left(\frac{2 \, d^{3} x^{2}}{c^{4}} + \frac{7 \, d^{2}}{c^{3}}\right)} + \frac{35 \, d}{c^{2}}\right)} x^{2} + \frac{35}{c}\right)} x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{35 \, {\left(d x^{2} + c\right)}^{\frac{7}{2}}}"," ",0,"8/105*a*(3*abs(d)*log((sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2)/(c^4*d^(3/2)*abs(a)) - (11*a^10*c^4*d^(9/2)*abs(d) + 49*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^8*c^3*d^(7/2)*abs(d) + 37*a^8*c^3*d^(11/2)*abs(d) + 77*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^4*a^6*c^2*d^(5/2)*abs(d) + 112*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^6*c^2*d^(9/2)*abs(d) + 47*a^6*c^2*d^(13/2)*abs(d) + 33*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^6*a^4*c*d^(3/2)*abs(d) + 93*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^4*a^4*c*d^(7/2)*abs(d) + 87*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^4*c*d^(11/2)*abs(d) + 27*a^4*c*d^(15/2)*abs(d) + 6*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^8*a^2*sqrt(d)*abs(d) + 24*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^6*a^2*d^(5/2)*abs(d) + 36*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^4*a^2*d^(9/2)*abs(d) + 24*(sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2*a^2*d^(13/2)*abs(d) + 6*a^2*d^(17/2)*abs(d))/((a^2*c*d + (sqrt(a^2*d)*sqrt(d*x^2 + c) - sqrt((d*x^2 + c)*a^2*d - a^2*c*d - d^2))^2 + d^2)^5*c^3*d*abs(a))) + 1/35*(2*(4*x^2*(2*d^3*x^2/c^4 + 7*d^2/c^3) + 35*d/c^2)*x^2 + 35/c)*x*log(a*x + sqrt(a^2*x^2 - 1))/(d*x^2 + c)^(7/2)","B",0
53,-2,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
54,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
55,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
56,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
57,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
58,-2,0,0,0.000000," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
59,-2,0,0,0.000000," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
60,-2,0,0,0.000000," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
61,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
62,-2,0,0,0.000000," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
63,-2,0,0,0.000000," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
64,-2,0,0,0.000000," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
65,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
66,0,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)^3*(b*arccosh(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
67,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*arccosh(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
68,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)*(b*arccosh(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
69,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{\sqrt{-c^{2} d x^{2} + d} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/(sqrt(-c^2*d*x^2 + d)*(g*x + f)), x)","F",0
70,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{\sqrt{-c^{2} d x^{2} + d} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/(sqrt(-c^2*d*x^2 + d)*(g*x + f)^2), x)","F",0
71,0,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^3*(b*arccosh(c*x) + a)/(-c^2*d*x^2 + d)^(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*arccosh(c*x) + a)/(-c^2*d*x^2 + d)^(3/2), x)","F",0
73,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)*(b*arccosh(c*x) + a)/(-c^2*d*x^2 + d)^(3/2), x)","F",0
74,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(c x\right) + a}{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)/((-c^2*d*x^2 + d)^(3/2)*(g*x + f)), x)","F",0
75,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((g*x + f)*(b*arccosh(c*x) + a)^n/sqrt(-c^2*x^2 + 1), x)","F",0
76,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(-c*x+1)^(1/2)/(c*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Warning: vanishing non integral power expansionWarning: vanishing non integral power expansionUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Warning: vanishing non integral power expansionWarning: vanishing non integral power expansionUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Unable to check sign: (8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)>(-8*pi/(sign(t_nostep^4-2*t_nostep^2)-1)/2)Evaluation time: 12.83sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
77,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(c*d1*x+d1)^(1/2)/(-c*d2*x+d2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming d1 near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Unable to check sign: (8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)>(-8*pi/(sign(2*d1*t_nostep^2-t_nostep^4)+1)/2)Evaluation time: 17.66sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
78,-1,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^n*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 0.71sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
80,0,0,0,0.000000," ","integrate((a+b*arccosh(c*x))*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((b*arccosh(c*x) + a)*log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
81,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
82,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(log((g*x + f)^m*h)/(sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)), x)","F",0
83,1,163,0,0.811747," ","integrate(x^3*arccosh(b*x+a),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right) - \frac{1}{96} \, {\left(\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left({\left(2 \, x {\left(\frac{3 \, x}{b^{2}} - \frac{7 \, a}{b^{3}}\right)} + \frac{26 \, a^{2} b^{3} + 9 \, b^{3}}{b^{7}}\right)} x - \frac{5 \, {\left(10 \, a^{3} b^{2} + 11 \, a b^{2}\right)}}{b^{7}}\right)} - \frac{3 \, {\left(8 \, a^{4} + 24 \, a^{2} + 3\right)} \log\left({\left| -a b - {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b^{4} {\left| b \right|}}\right)} b"," ",0,"1/4*x^4*log(b*x + a + sqrt((b*x + a)^2 - 1)) - 1/96*(sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*((2*x*(3*x/b^2 - 7*a/b^3) + (26*a^2*b^3 + 9*b^3)/b^7)*x - 5*(10*a^3*b^2 + 11*a*b^2)/b^7) - 3*(8*a^4 + 24*a^2 + 3)*log(abs(-a*b - (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*abs(b)))/(b^4*abs(b)))*b","A",0
84,1,132,0,1.845790," ","integrate(x^2*arccosh(b*x+a),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right) - \frac{1}{18} \, {\left(\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(x {\left(\frac{2 \, x}{b^{2}} - \frac{5 \, a}{b^{3}}\right)} + \frac{11 \, a^{2} b + 4 \, b}{b^{5}}\right)} + \frac{3 \, {\left(2 \, a^{3} + 3 \, a\right)} \log\left({\left| -a b - {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b^{3} {\left| b \right|}}\right)} b"," ",0,"1/3*x^3*log(b*x + a + sqrt((b*x + a)^2 - 1)) - 1/18*(sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(x*(2*x/b^2 - 5*a/b^3) + (11*a^2*b + 4*b)/b^5) + 3*(2*a^3 + 3*a)*log(abs(-a*b - (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*abs(b)))/(b^3*abs(b)))*b","A",0
85,1,112,0,1.911241," ","integrate(x*arccosh(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right) - \frac{1}{4} \, {\left(\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(\frac{x}{b^{2}} - \frac{3 \, a}{b^{3}}\right)} - \frac{{\left(2 \, a^{2} + 1\right)} \log\left({\left| -a b - {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b^{2} {\left| b \right|}}\right)} b"," ",0,"1/2*x^2*log(b*x + a + sqrt((b*x + a)^2 - 1)) - 1/4*(sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(x/b^2 - 3*a/b^3) - (2*a^2 + 1)*log(abs(-a*b - (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*abs(b)))/(b^2*abs(b)))*b","A",0
86,1,93,0,5.936230," ","integrate(arccosh(b*x+a),x, algorithm=""giac"")","-b {\left(\frac{a \log\left({\left| -a b - {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b {\left| b \right|}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{b^{2}}\right)} + x \log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right)"," ",0,"-b*(a*log(abs(-a*b - (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*abs(b)))/(b*abs(b)) + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)/b^2) + x*log(b*x + a + sqrt((b*x + a)^2 - 1))","B",0
87,0,0,0,0.000000," ","integrate(arccosh(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(arccosh(b*x + a)/x, x)","F",0
88,1,73,0,0.402200," ","integrate(arccosh(b*x+a)/x^2,x, algorithm=""giac"")","\frac{2 \, b \arctan\left(-\frac{x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{\sqrt{-a^{2} + 1}}\right)}{\sqrt{-a^{2} + 1}} - \frac{\log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right)}{x}"," ",0,"2*b*arctan(-(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/sqrt(-a^2 + 1))/sqrt(-a^2 + 1) - log(b*x + a + sqrt((b*x + a)^2 - 1))/x","A",0
89,1,170,0,0.526384," ","integrate(arccosh(b*x+a)/x^3,x, algorithm=""giac"")","-{\left(\frac{a b \arctan\left(-\frac{x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{\sqrt{-a^{2} + 1}}\right)}{{\left(a^{2} - 1\right)} \sqrt{-a^{2} + 1}} - \frac{{\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} a b + a^{2} {\left| b \right|} - {\left| b \right|}}{{\left({\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}^{2} - a^{2} + 1\right)} {\left(a^{2} - 1\right)}}\right)} b - \frac{\log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right)}{2 \, x^{2}}"," ",0,"-(a*b*arctan(-(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/sqrt(-a^2 + 1))/((a^2 - 1)*sqrt(-a^2 + 1)) - ((x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*a*b + a^2*abs(b) - abs(b))/(((x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))^2 - a^2 + 1)*(a^2 - 1)))*b - 1/2*log(b*x + a + sqrt((b*x + a)^2 - 1))/x^2","A",0
90,1,340,0,1.945212," ","integrate(arccosh(b*x+a)/x^4,x, algorithm=""giac"")","\frac{1}{3} \, b {\left(\frac{{\left(2 \, a^{2} b^{2} + b^{2}\right)} \arctan\left(-\frac{x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{\sqrt{-a^{2} + 1}}\right)}{{\left(a^{4} - 2 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1}} - \frac{2 \, {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}^{3} a^{2} b^{2} - 6 \, {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} a^{4} b^{2} - 4 \, a^{5} b {\left| b \right|} + {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}^{3} b^{2} + 7 \, {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} a^{2} b^{2} + 8 \, a^{3} b {\left| b \right|} - {\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)} b^{2} - 4 \, a b {\left| b \right|}}{{\left(a^{4} - 2 \, a^{2} + 1\right)} {\left({\left(x {\left| b \right|} - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}^{2} - a^{2} + 1\right)}^{2}}\right)} - \frac{\log\left(b x + a + \sqrt{{\left(b x + a\right)}^{2} - 1}\right)}{3 \, x^{3}}"," ",0,"1/3*b*((2*a^2*b^2 + b^2)*arctan(-(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/sqrt(-a^2 + 1))/((a^4 - 2*a^2 + 1)*sqrt(-a^2 + 1)) - (2*(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))^3*a^2*b^2 - 6*(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*a^4*b^2 - 4*a^5*b*abs(b) + (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))^3*b^2 + 7*(x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*a^2*b^2 + 8*a^3*b*abs(b) - (x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))*b^2 - 4*a*b*abs(b))/((a^4 - 2*a^2 + 1)*((x*abs(b) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))^2 - a^2 + 1)^2)) - 1/3*log(b*x + a + sqrt((b*x + a)^2 - 1))/x^3","B",0
91,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*arccosh(d*x + c) + a), x)","F",0
92,0,0,0,0.000000," ","integrate(1/(a-b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(-b*arccosh(d*x + c) + a), x)","F",0
93,1,822,0,5.612113," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\frac{1}{600} \, {\left(120 \, a d^{4} x^{5} + 600 \, a c d^{3} x^{4} + 1200 \, a c^{2} d^{2} x^{3} + 1200 \, a c^{3} d x^{2} - 600 \, {\left(d {\left(\frac{c \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d {\left| d \right|}} + \frac{\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d^{2}}\right)} - x \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)\right)} b c^{4} + 600 \, {\left(2 \, x^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(\frac{x}{d^{2}} - \frac{3 \, c}{d^{3}}\right)} - \frac{{\left(2 \, c^{2} + 1\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{2} {\left| d \right|}}\right)} d\right)} b c^{3} d + 200 \, {\left(6 \, x^{3} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(x {\left(\frac{2 \, x}{d^{2}} - \frac{5 \, c}{d^{3}}\right)} + \frac{11 \, c^{2} d + 4 \, d}{d^{5}}\right)} + \frac{3 \, {\left(2 \, c^{3} + 3 \, c\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{3} {\left| d \right|}}\right)} d\right)} b c^{2} d^{2} + 25 \, {\left(24 \, x^{4} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left({\left(2 \, x {\left(\frac{3 \, x}{d^{2}} - \frac{7 \, c}{d^{3}}\right)} + \frac{26 \, c^{2} d^{3} + 9 \, d^{3}}{d^{7}}\right)} x - \frac{5 \, {\left(10 \, c^{3} d^{2} + 11 \, c d^{2}\right)}}{d^{7}}\right)} - \frac{3 \, {\left(8 \, c^{4} + 24 \, c^{2} + 3\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{4} {\left| d \right|}}\right)} d\right)} b c d^{3} + {\left(120 \, x^{5} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left({\left(2 \, {\left(3 \, x {\left(\frac{4 \, x}{d^{2}} - \frac{9 \, c}{d^{3}}\right)} + \frac{47 \, c^{2} d^{5} + 16 \, d^{5}}{d^{9}}\right)} x - \frac{7 \, {\left(22 \, c^{3} d^{4} + 23 \, c d^{4}\right)}}{d^{9}}\right)} x + \frac{274 \, c^{4} d^{3} + 607 \, c^{2} d^{3} + 64 \, d^{3}}{d^{9}}\right)} + \frac{15 \, {\left(8 \, c^{5} + 40 \, c^{3} + 15 \, c\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{5} {\left| d \right|}}\right)} d\right)} b d^{4} + 600 \, a c^{4} x\right)} e^{4}"," ",0,"1/600*(120*a*d^4*x^5 + 600*a*c*d^3*x^4 + 1200*a*c^2*d^2*x^3 + 1200*a*c^3*d*x^2 - 600*(d*(c*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d*abs(d)) + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)/d^2) - x*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))*b*c^4 + 600*(2*x^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x/d^2 - 3*c/d^3) - (2*c^2 + 1)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^2*abs(d)))*d)*b*c^3*d + 200*(6*x^3*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x*(2*x/d^2 - 5*c/d^3) + (11*c^2*d + 4*d)/d^5) + 3*(2*c^3 + 3*c)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^3*abs(d)))*d)*b*c^2*d^2 + 25*(24*x^4*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*((2*x*(3*x/d^2 - 7*c/d^3) + (26*c^2*d^3 + 9*d^3)/d^7)*x - 5*(10*c^3*d^2 + 11*c*d^2)/d^7) - 3*(8*c^4 + 24*c^2 + 3)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^4*abs(d)))*d)*b*c*d^3 + (120*x^5*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*((2*(3*x*(4*x/d^2 - 9*c/d^3) + (47*c^2*d^5 + 16*d^5)/d^9)*x - 7*(22*c^3*d^4 + 23*c*d^4)/d^9)*x + (274*c^4*d^3 + 607*c^2*d^3 + 64*d^3)/d^9) + 15*(8*c^5 + 40*c^3 + 15*c)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^5*abs(d)))*d)*b*d^4 + 600*a*c^4*x)*e^4","B",0
94,1,598,0,4.265755," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\frac{1}{96} \, {\left(24 \, a d^{3} x^{4} + 96 \, a c d^{2} x^{3} + 144 \, a c^{2} d x^{2} - 96 \, {\left(d {\left(\frac{c \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d {\left| d \right|}} + \frac{\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d^{2}}\right)} - x \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)\right)} b c^{3} + 72 \, {\left(2 \, x^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(\frac{x}{d^{2}} - \frac{3 \, c}{d^{3}}\right)} - \frac{{\left(2 \, c^{2} + 1\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{2} {\left| d \right|}}\right)} d\right)} b c^{2} d + 16 \, {\left(6 \, x^{3} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(x {\left(\frac{2 \, x}{d^{2}} - \frac{5 \, c}{d^{3}}\right)} + \frac{11 \, c^{2} d + 4 \, d}{d^{5}}\right)} + \frac{3 \, {\left(2 \, c^{3} + 3 \, c\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{3} {\left| d \right|}}\right)} d\right)} b c d^{2} + {\left(24 \, x^{4} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left({\left(2 \, x {\left(\frac{3 \, x}{d^{2}} - \frac{7 \, c}{d^{3}}\right)} + \frac{26 \, c^{2} d^{3} + 9 \, d^{3}}{d^{7}}\right)} x - \frac{5 \, {\left(10 \, c^{3} d^{2} + 11 \, c d^{2}\right)}}{d^{7}}\right)} - \frac{3 \, {\left(8 \, c^{4} + 24 \, c^{2} + 3\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{4} {\left| d \right|}}\right)} d\right)} b d^{3} + 96 \, a c^{3} x\right)} e^{3}"," ",0,"1/96*(24*a*d^3*x^4 + 96*a*c*d^2*x^3 + 144*a*c^2*d*x^2 - 96*(d*(c*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d*abs(d)) + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)/d^2) - x*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))*b*c^3 + 72*(2*x^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x/d^2 - 3*c/d^3) - (2*c^2 + 1)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^2*abs(d)))*d)*b*c^2*d + 16*(6*x^3*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x*(2*x/d^2 - 5*c/d^3) + (11*c^2*d + 4*d)/d^5) + 3*(2*c^3 + 3*c)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^3*abs(d)))*d)*b*c*d^2 + (24*x^4*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*((2*x*(3*x/d^2 - 7*c/d^3) + (26*c^2*d^3 + 9*d^3)/d^7)*x - 5*(10*c^3*d^2 + 11*c*d^2)/d^7) - 3*(8*c^4 + 24*c^2 + 3)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^4*abs(d)))*d)*b*d^3 + 96*a*c^3*x)*e^3","B",0
95,1,406,0,3.733172," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\frac{1}{18} \, {\left(6 \, a d^{2} x^{3} + 18 \, a c d x^{2} - 18 \, {\left(d {\left(\frac{c \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d {\left| d \right|}} + \frac{\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d^{2}}\right)} - x \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)\right)} b c^{2} + 9 \, {\left(2 \, x^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(\frac{x}{d^{2}} - \frac{3 \, c}{d^{3}}\right)} - \frac{{\left(2 \, c^{2} + 1\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{2} {\left| d \right|}}\right)} d\right)} b c d + {\left(6 \, x^{3} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(x {\left(\frac{2 \, x}{d^{2}} - \frac{5 \, c}{d^{3}}\right)} + \frac{11 \, c^{2} d + 4 \, d}{d^{5}}\right)} + \frac{3 \, {\left(2 \, c^{3} + 3 \, c\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{3} {\left| d \right|}}\right)} d\right)} b d^{2} + 18 \, a c^{2} x\right)} e^{2}"," ",0,"1/18*(6*a*d^2*x^3 + 18*a*c*d*x^2 - 18*(d*(c*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d*abs(d)) + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)/d^2) - x*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))*b*c^2 + 9*(2*x^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x/d^2 - 3*c/d^3) - (2*c^2 + 1)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^2*abs(d)))*d)*b*c*d + (6*x^3*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x*(2*x/d^2 - 5*c/d^3) + (11*c^2*d + 4*d)/d^5) + 3*(2*c^3 + 3*c)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^3*abs(d)))*d)*b*d^2 + 18*a*c^2*x)*e^2","B",0
96,1,245,0,3.723470," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, a d x^{2} - 4 \, {\left(d {\left(\frac{c \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d {\left| d \right|}} + \frac{\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d^{2}}\right)} - x \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)\right)} b c + {\left(2 \, x^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(\frac{x}{d^{2}} - \frac{3 \, c}{d^{3}}\right)} - \frac{{\left(2 \, c^{2} + 1\right)} \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d^{2} {\left| d \right|}}\right)} d\right)} b d + 4 \, a c x\right)} e"," ",0,"1/4*(2*a*d*x^2 - 4*(d*(c*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d*abs(d)) + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)/d^2) - x*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))*b*c + (2*x^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(x/d^2 - 3*c/d^3) - (2*c^2 + 1)*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d^2*abs(d)))*d)*b*d + 4*a*c*x)*e","B",0
97,1,100,0,1.903494," ","integrate(a+b*arccosh(d*x+c),x, algorithm=""giac"")","-{\left(d {\left(\frac{c \log\left({\left| -c d - {\left(x {\left| d \right|} - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} {\left| d \right|} \right|}\right)}{d {\left| d \right|}} + \frac{\sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d^{2}}\right)} - x \log\left(d x + c + \sqrt{{\left(d x + c\right)}^{2} - 1}\right)\right)} b + a x"," ",0,"-(d*(c*log(abs(-c*d - (x*abs(d) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*abs(d)))/(d*abs(d)) + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)/d^2) - x*log(d*x + c + sqrt((d*x + c)^2 - 1)))*b + a*x","B",0
98,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
99,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
100,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^3,x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{{\left(d e x + c e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e)^3, x)","F",0
101,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e)^4, x)","F",0
102,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^5,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
103,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^6,x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{{\left(d e x + c e\right)}^{6}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e)^6, x)","F",0
104,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{4} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4*(b*arccosh(d*x + c) + a)^2, x)","F",0
105,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{3} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3*(b*arccosh(d*x + c) + a)^2, x)","F",0
106,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{2} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2*(b*arccosh(d*x + c) + a)^2, x)","F",0
107,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^2, x)","F",0
108,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2, x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/(d*e*x + c*e), x)","F",0
110,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
111,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/(d*e*x + c*e)^3, x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/(d*e*x + c*e)^4, x)","F",0
113,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{4} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4*(b*arccosh(d*x + c) + a)^3, x)","F",0
114,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{3} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3*(b*arccosh(d*x + c) + a)^3, x)","F",0
115,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{2} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2*(b*arccosh(d*x + c) + a)^3, x)","F",0
116,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^3, x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3, x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/(d*e*x + c*e), x)","F",0
119,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.7sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
120,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/(d*e*x + c*e)^3, x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/(d*e*x + c*e)^4, x)","F",0
122,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{3} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3*(b*arccosh(d*x + c) + a)^4, x)","F",0
123,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{2} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2*(b*arccosh(d*x + c) + a)^4, x)","F",0
124,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^4, x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4, x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/(d*e*x + c*e), x)","F",0
127,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 1.52sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
128,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{{\left(d e x + c e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/(d*e*x + c*e)^3, x)","F",0
129,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^4,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{{\left(d e x + c e\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/(d*e*x + c*e)^4, x)","F",0
130,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a), x)","F",0
131,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a), x)","F",0
132,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a), x)","F",0
133,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{d e x + c e}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a), x)","F",0
134,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccosh(d*x + c) + a), x)","F",0
135,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)), x)","F",0
136,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^2, x)","F",0
137,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^2, x)","F",0
138,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^2, x)","F",0
139,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^2, x)","F",0
140,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-2), x)","F",0
141,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^2), x)","F",0
142,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^3, x)","F",0
143,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^3, x)","F",0
144,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^3, x)","F",0
145,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^3, x)","F",0
146,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-3), x)","F",0
147,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^3), x)","F",0
148,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^4, x)","F",0
149,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^4, x)","F",0
150,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^4, x)","F",0
151,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^4, x)","F",0
152,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-4), x)","F",0
153,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^4), x)","F",0
154,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*arccosh(d*x + c) + a), x)","F",0
159,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(1/2)/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}{d e x + c e}\,{d x}"," ",0,"integrate(sqrt(b*arccosh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
160,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(3/2), x)","F",0
164,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(3/2)/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(3/2)/(d*e*x + c*e), x)","F",0
165,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(5/2), x)","F",0
169,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(5/2)/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(5/2)/(d*e*x + c*e), x)","F",0
170,-1,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(7/2), x)","F",0
173,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(7/2)/(d*e*x+c*e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}{d e x + c e}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(7/2)/(d*e*x + c*e), x)","F",0
174,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/sqrt(b*arccosh(d*x + c) + a), x)","F",0
175,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/sqrt(b*arccosh(d*x + c) + a), x)","F",0
176,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/sqrt(b*arccosh(d*x + c) + a), x)","F",0
177,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{d e x + c e}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/sqrt(b*arccosh(d*x + c) + a), x)","F",0
178,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*arccosh(d*x + c) + a), x)","F",0
179,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} \sqrt{b \operatorname{arcosh}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*sqrt(b*arccosh(d*x + c) + a)), x)","F",0
180,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^(3/2), x)","F",0
181,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^(3/2), x)","F",0
182,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^(3/2), x)","F",0
183,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^(3/2), x)","F",0
184,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-3/2), x)","F",0
185,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^(3/2)), x)","F",0
186,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^(5/2), x)","F",0
187,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^(5/2), x)","F",0
188,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^(5/2), x)","F",0
189,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^(5/2), x)","F",0
190,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-5/2), x)","F",0
191,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^(5/2)), x)","F",0
192,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{4}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^4/(b*arccosh(d*x + c) + a)^(7/2), x)","F",0
193,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{3}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^3/(b*arccosh(d*x + c) + a)^(7/2), x)","F",0
194,0,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{2}}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)^2/(b*arccosh(d*x + c) + a)^(7/2), x)","F",0
195,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{d e x + c e}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((d*e*x + c*e)/(b*arccosh(d*x + c) + a)^(7/2), x)","F",0
196,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^(-7/2), x)","F",0
197,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(d e x + c e\right)} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((d*e*x + c*e)*(b*arccosh(d*x + c) + a)^(7/2)), x)","F",0
198,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{7}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(7/2)*(b*arccosh(d*x + c) + a), x)","F",0
199,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{5}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(5/2)*(b*arccosh(d*x + c) + a), x)","F",0
200,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(3/2)*(b*arccosh(d*x + c) + a), x)","F",0
201,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))*(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a), x)","F",0
202,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{\sqrt{d e x + c e}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/sqrt(d*e*x + c*e), x)","F",0
203,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(3/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{{\left(d e x + c e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e)^(3/2), x)","F",0
204,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
205,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(7/2),x, algorithm=""giac"")","\int \frac{b \operatorname{arcosh}\left(d x + c\right) + a}{{\left(d e x + c e\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)/(d*e*x + c*e)^(7/2), x)","F",0
206,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{7}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(7/2)*(b*arccosh(d*x + c) + a)^2, x)","F",0
207,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{5}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(5/2)*(b*arccosh(d*x + c) + a)^2, x)","F",0
208,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(3/2)*(b*arccosh(d*x + c) + a)^2, x)","F",0
209,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2*(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)^2, x)","F",0
210,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{\sqrt{d e x + c e}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/sqrt(d*e*x + c*e), x)","F",0
211,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/(d*e*x + c*e)^(3/2), x)","F",0
212,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 0.82sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
213,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2}}{{\left(d e x + c e\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2/(d*e*x + c*e)^(7/2), x)","F",0
214,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(3/2)*(b*arccosh(d*x + c) + a)^3, x)","F",0
215,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3*(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)^3, x)","F",0
216,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{\sqrt{d e x + c e}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/sqrt(d*e*x + c*e), x)","F",0
217,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/(d*e*x + c*e)^(3/2), x)","F",0
218,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 2.05sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
219,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3}}{{\left(d e x + c e\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3/(d*e*x + c*e)^(7/2), x)","F",0
220,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((d*e*x + c*e)^(3/2)*(b*arccosh(d*x + c) + a)^4, x)","F",0
221,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4*(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}\,{d x}"," ",0,"integrate(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)^4, x)","F",0
222,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{\sqrt{d e x + c e}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/sqrt(d*e*x + c*e), x)","F",0
223,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{{\left(d e x + c e\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/(d*e*x + c*e)^(3/2), x)","F",0
224,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Evaluation time: 4.49sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
225,0,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4}}{{\left(d e x + c e\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4/(d*e*x + c*e)^(7/2), x)","F",0
226,0,0,0,0.000000," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^4,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{4} {\left(d e x + c e\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^4*(d*e*x + c*e)^m, x)","F",0
227,0,0,0,0.000000," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{3} {\left(d e x + c e\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^3*(d*e*x + c*e)^m, x)","F",0
228,0,0,0,0.000000," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}^{2} {\left(d e x + c e\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)^2*(d*e*x + c*e)^m, x)","F",0
229,0,0,0,0.000000," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)} {\left(d e x + c e\right)}^{m}\,{d x}"," ",0,"integrate((b*arccosh(d*x + c) + a)*(d*e*x + c*e)^m, x)","F",0
230,0,0,0,0.000000," ","integrate((d*e*x+c*e)^m/(a+b*arccosh(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(d e x + c e\right)}^{m}}{b \operatorname{arcosh}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)^m/(b*arccosh(d*x + c) + a), x)","F",0
231,0,0,0,0.000000," ","integrate(arccosh(a*x^5)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(a x^{5}\right)}{x}\,{d x}"," ",0,"integrate(arccosh(a*x^5)/x, x)","F",0
232,1,60,0,1.211334," ","integrate(x^2*arccosh(x^(1/2)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \sqrt{x}\right) - \frac{1}{144} \, {\left(2 \, {\left(4 \, x + 5\right)} x + 15\right)} \sqrt{x - 1} \sqrt{x} + \frac{5}{48} \, \log\left(-\sqrt{x - 1} + \sqrt{x}\right)"," ",0,"1/3*x^3*log(sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + sqrt(x)) - 1/144*(2*(4*x + 5)*x + 15)*sqrt(x - 1)*sqrt(x) + 5/48*log(-sqrt(x - 1) + sqrt(x))","A",0
233,1,55,0,0.639940," ","integrate(x*arccosh(x^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \sqrt{x}\right) - \frac{1}{16} \, {\left(2 \, x + 3\right)} \sqrt{x - 1} \sqrt{x} + \frac{3}{16} \, \log\left(-\sqrt{x - 1} + \sqrt{x}\right)"," ",0,"1/2*x^2*log(sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + sqrt(x)) - 1/16*(2*x + 3)*sqrt(x - 1)*sqrt(x) + 3/16*log(-sqrt(x - 1) + sqrt(x))","A",0
234,1,47,0,1.462573," ","integrate(arccosh(x^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \sqrt{x}\right) - \frac{1}{2} \, \sqrt{x - 1} \sqrt{x} + \frac{1}{2} \, \log\left(-\sqrt{x - 1} + \sqrt{x}\right)"," ",0,"x*log(sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + sqrt(x)) - 1/2*sqrt(x - 1)*sqrt(x) + 1/2*log(-sqrt(x - 1) + sqrt(x))","A",0
235,0,0,0,0.000000," ","integrate(arccosh(x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(\sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(arccosh(sqrt(x))/x, x)","F",0
236,1,45,0,0.688371," ","integrate(arccosh(x^(1/2))/x^2,x, algorithm=""giac"")","-\frac{\log\left(\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \sqrt{x}\right)}{x} + \frac{2}{{\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} + 1}"," ",0,"-log(sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + sqrt(x))/x + 2/((sqrt(x - 1) - sqrt(x))^2 + 1)","A",0
237,1,62,0,1.534425," ","integrate(arccosh(x^(1/2))/x^3,x, algorithm=""giac"")","-\frac{\log\left(\sqrt{\sqrt{x} + 1} \sqrt{\sqrt{x} - 1} + \sqrt{x}\right)}{2 \, x^{2}} + \frac{2 \, {\left(3 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} + 1\right)}}{3 \, {\left({\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} + 1\right)}^{3}}"," ",0,"-1/2*log(sqrt(sqrt(x) + 1)*sqrt(sqrt(x) - 1) + sqrt(x))/x^2 + 2/3*(3*(sqrt(x - 1) - sqrt(x))^2 + 1)/((sqrt(x - 1) - sqrt(x))^2 + 1)^3","A",0
238,1,22,0,0.230018," ","integrate(arccosh(1/x),x, algorithm=""giac"")","x \log\left(\sqrt{\frac{1}{x^{2}} - 1} + \frac{1}{x}\right) + \frac{\arcsin\left(x\right)}{\mathrm{sgn}\left(x\right)}"," ",0,"x*log(sqrt(1/x^2 - 1) + 1/x) + arcsin(x)/sgn(x)","B",0
239,0,0,0,0.000000," ","integrate(arccosh(a*x^n)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(a x^{n}\right)}{x}\,{d x}"," ",0,"integrate(arccosh(a*x^n)/x, x)","F",0
240,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
241,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
242,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
243,1,62,0,0.201015," ","integrate(a+b*arccosh(d*x^2+1),x, algorithm=""giac"")","{\left(x \log\left(d x^{2} + \sqrt{{\left(d x^{2} + 1\right)}^{2} - 1} + 1\right) + \frac{2 \, \sqrt{2} \mathrm{sgn}\left(x\right)}{\sqrt{d}} - \frac{2 \, \sqrt{d^{2} x^{2} + 2 \, d}}{d \mathrm{sgn}\left(x\right)}\right)} b + a x"," ",0,"(x*log(d*x^2 + sqrt((d*x^2 + 1)^2 - 1) + 1) + 2*sqrt(2)*sgn(x)/sqrt(d) - 2*sqrt(d^2*x^2 + 2*d)/(d*sgn(x)))*b + a*x","A",0
244,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1)),x, algorithm=""giac"")","\int \frac{1}{b \operatorname{arcosh}\left(d x^{2} + 1\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccosh(d*x^2 + 1) + a), x)","F",0
245,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x^{2} + 1\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x^2 + 1) + a)^(-2), x)","F",0
246,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x^{2} + 1\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x^2 + 1) + a)^(-3), x)","F",0
247,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^4,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
248,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
249,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [sign(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
250,1,67,0,0.238873," ","integrate(a+b*arccosh(d*x^2-1),x, algorithm=""giac"")","{\left(x \log\left(d x^{2} + \sqrt{{\left(d x^{2} - 1\right)}^{2} - 1} - 1\right) + \frac{2 \, \sqrt{2} \sqrt{-d} \mathrm{sgn}\left(x\right)}{d} - \frac{2 \, \sqrt{d^{2} x^{2} - 2 \, d}}{d \mathrm{sgn}\left(x\right)}\right)} b + a x"," ",0,"(x*log(d*x^2 + sqrt((d*x^2 - 1)^2 - 1) - 1) + 2*sqrt(2)*sqrt(-d)*sgn(x)/d - 2*sqrt(d^2*x^2 - 2*d)/(d*sgn(x)))*b + a*x","B",0
251,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1)),x, algorithm=""giac"")","\int \frac{1}{b \operatorname{arcosh}\left(d x^{2} - 1\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccosh(d*x^2 - 1) + a), x)","F",0
252,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x^{2} - 1\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccosh(d*x^2 - 1) + a)^(-2), x)","F",0
253,0,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{arcosh}\left(d x^{2} - 1\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccosh(d*x^2 - 1) + a)^(-3), x)","F",0
254,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
255,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
256,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
257,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
258,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 0.6index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
259,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 0.78index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
260,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 0.88index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
261,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValuePolynomial exponent overflow. Error: Bad Argument Value","F(-2)",0
262,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
263,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
264,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]index.cc index_m i_lex_is_greater Error: Bad Argument Valueindex.cc index_m operator + Error: Bad Argument Value","F(-2)",0
265,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 0.71index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
266,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 0.88index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
267,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument ValueEvaluation time: 1.05index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
268,-2,0,0,0.000000," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
269,-2,0,0,0.000000," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
270,-2,0,0,0.000000," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
271,-2,0,0,0.000000," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
272,-2,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
273,-2,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [-82,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
274,0,0,0,0.000000," ","integrate(arccosh(c*exp(b*x+a)),x, algorithm=""giac"")","\int \operatorname{arcosh}\left(c e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arccosh(c*e^(b*x + a)), x)","F",0
275,1,564,0,0.248948," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x^3,x, algorithm=""giac"")","\frac{24 \, b^{2} x^{5} + 30 \, a b x^{4} + 5 \, {\left({\left(b x + a + 1\right)} {\left(2 \, {\left(b x + a + 1\right)} {\left(\frac{3 \, {\left(b x + a + 1\right)}}{b^{3}} - \frac{12 \, a b^{12} + 13 \, b^{12}}{b^{15}}\right)} + \frac{36 \, a^{2} b^{12} + 84 \, a b^{12} + 43 \, b^{12}}{b^{15}}\right)} - \frac{3 \, {\left(8 \, a^{3} b^{12} + 36 \, a^{2} b^{12} + 36 \, a b^{12} + 13 \, b^{12}\right)}}{b^{15}}\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 5 \, {\left({\left({\left(b x + a + 1\right)} {\left(2 \, {\left(b x + a + 1\right)} {\left(\frac{3 \, {\left(b x + a + 1\right)}}{b^{3}} - \frac{12 \, a b^{12} + 13 \, b^{12}}{b^{15}}\right)} + \frac{36 \, a^{2} b^{12} + 84 \, a b^{12} + 43 \, b^{12}}{b^{15}}\right)} - \frac{3 \, {\left(8 \, a^{3} b^{12} + 36 \, a^{2} b^{12} + 36 \, a b^{12} + 13 \, b^{12}\right)}}{b^{15}}\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - \frac{6 \, {\left(8 \, a^{3} + 12 \, a^{2} + 12 \, a + 3\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{3}}\right)} a + {\left({\left({\left(2 \, {\left(b x + a + 1\right)} {\left(3 \, {\left(b x + a + 1\right)} {\left(\frac{4 \, {\left(b x + a + 1\right)}}{b^{4}} - \frac{20 \, a b^{20} + 21 \, b^{20}}{b^{24}}\right)} + \frac{120 \, a^{2} b^{20} + 260 \, a b^{20} + 133 \, b^{20}}{b^{24}}\right)} - \frac{5 \, {\left(48 \, a^{3} b^{20} + 168 \, a^{2} b^{20} + 172 \, a b^{20} + 59 \, b^{20}\right)}}{b^{24}}\right)} {\left(b x + a + 1\right)} + \frac{15 \, {\left(8 \, a^{4} b^{20} + 48 \, a^{3} b^{20} + 72 \, a^{2} b^{20} + 52 \, a b^{20} + 13 \, b^{20}\right)}}{b^{24}}\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + \frac{30 \, {\left(8 \, a^{4} + 16 \, a^{3} + 24 \, a^{2} + 12 \, a + 3\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{4}}\right)} b - \frac{30 \, {\left(8 \, a^{3} + 12 \, a^{2} + 12 \, a + 3\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{3}}}{120 \, b}"," ",0,"1/120*(24*b^2*x^5 + 30*a*b*x^4 + 5*((b*x + a + 1)*(2*(b*x + a + 1)*(3*(b*x + a + 1)/b^3 - (12*a*b^12 + 13*b^12)/b^15) + (36*a^2*b^12 + 84*a*b^12 + 43*b^12)/b^15) - 3*(8*a^3*b^12 + 36*a^2*b^12 + 36*a*b^12 + 13*b^12)/b^15)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 5*(((b*x + a + 1)*(2*(b*x + a + 1)*(3*(b*x + a + 1)/b^3 - (12*a*b^12 + 13*b^12)/b^15) + (36*a^2*b^12 + 84*a*b^12 + 43*b^12)/b^15) - 3*(8*a^3*b^12 + 36*a^2*b^12 + 36*a*b^12 + 13*b^12)/b^15)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - 6*(8*a^3 + 12*a^2 + 12*a + 3)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^3)*a + (((2*(b*x + a + 1)*(3*(b*x + a + 1)*(4*(b*x + a + 1)/b^4 - (20*a*b^20 + 21*b^20)/b^24) + (120*a^2*b^20 + 260*a*b^20 + 133*b^20)/b^24) - 5*(48*a^3*b^20 + 168*a^2*b^20 + 172*a*b^20 + 59*b^20)/b^24)*(b*x + a + 1) + 15*(8*a^4*b^20 + 48*a^3*b^20 + 72*a^2*b^20 + 52*a*b^20 + 13*b^20)/b^24)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 30*(8*a^4 + 16*a^3 + 24*a^2 + 12*a + 3)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^4)*b - 30*(8*a^3 + 12*a^2 + 12*a + 3)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^3)/b","B",0
276,1,417,0,0.246831," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x^2,x, algorithm=""giac"")","\frac{6 \, b^{2} x^{4} + 8 \, a b x^{3} + 4 \, \sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left({\left(b x + a + 1\right)} {\left(\frac{2 \, {\left(b x + a + 1\right)}}{b^{2}} - \frac{6 \, a b^{6} + 7 \, b^{6}}{b^{8}}\right)} + \frac{3 \, {\left(2 \, a^{2} b^{6} + 6 \, a b^{6} + 3 \, b^{6}\right)}}{b^{8}}\right)} + 4 \, {\left(\sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left({\left(b x + a + 1\right)} {\left(\frac{2 \, {\left(b x + a + 1\right)}}{b^{2}} - \frac{6 \, a b^{6} + 7 \, b^{6}}{b^{8}}\right)} + \frac{3 \, {\left(2 \, a^{2} b^{6} + 6 \, a b^{6} + 3 \, b^{6}\right)}}{b^{8}}\right)} + \frac{6 \, {\left(2 \, a^{2} + 2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{2}}\right)} a + {\left({\left({\left(b x + a + 1\right)} {\left(2 \, {\left(b x + a + 1\right)} {\left(\frac{3 \, {\left(b x + a + 1\right)}}{b^{3}} - \frac{12 \, a b^{12} + 13 \, b^{12}}{b^{15}}\right)} + \frac{36 \, a^{2} b^{12} + 84 \, a b^{12} + 43 \, b^{12}}{b^{15}}\right)} - \frac{3 \, {\left(8 \, a^{3} b^{12} + 36 \, a^{2} b^{12} + 36 \, a b^{12} + 13 \, b^{12}\right)}}{b^{15}}\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - \frac{6 \, {\left(8 \, a^{3} + 12 \, a^{2} + 12 \, a + 3\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{3}}\right)} b + \frac{24 \, {\left(2 \, a^{2} + 2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{2}}}{24 \, b}"," ",0,"1/24*(6*b^2*x^4 + 8*a*b*x^3 + 4*sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*((b*x + a + 1)*(2*(b*x + a + 1)/b^2 - (6*a*b^6 + 7*b^6)/b^8) + 3*(2*a^2*b^6 + 6*a*b^6 + 3*b^6)/b^8) + 4*(sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*((b*x + a + 1)*(2*(b*x + a + 1)/b^2 - (6*a*b^6 + 7*b^6)/b^8) + 3*(2*a^2*b^6 + 6*a*b^6 + 3*b^6)/b^8) + 6*(2*a^2 + 2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^2)*a + (((b*x + a + 1)*(2*(b*x + a + 1)*(3*(b*x + a + 1)/b^3 - (12*a*b^12 + 13*b^12)/b^15) + (36*a^2*b^12 + 84*a*b^12 + 43*b^12)/b^15) - 3*(8*a^3*b^12 + 36*a^2*b^12 + 36*a*b^12 + 13*b^12)/b^15)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - 6*(8*a^3 + 12*a^2 + 12*a + 3)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^3)*b + 24*(2*a^2 + 2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^2)/b","B",0
277,1,280,0,0.509879," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x,x, algorithm=""giac"")","\frac{2 \, b^{2} x^{3} + {\left(\sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left({\left(b x + a + 1\right)} {\left(\frac{2 \, {\left(b x + a + 1\right)}}{b^{2}} - \frac{6 \, a b^{6} + 7 \, b^{6}}{b^{8}}\right)} + \frac{3 \, {\left(2 \, a^{2} b^{6} + 6 \, a b^{6} + 3 \, b^{6}\right)}}{b^{8}}\right)} + \frac{6 \, {\left(2 \, a^{2} + 2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{b^{2}}\right)} b + \frac{3 \, {\left({\left(b x + a + 1\right)}^{2} - 2 \, {\left(b x + a + 1\right)} a - 2 \, b x - 2 \, a - 2\right)} a}{b} + \frac{3 \, {\left(\sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left(b x - a - 2\right)} - 2 \, {\left(2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)\right)} a}{b} + \frac{3 \, {\left(\sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left(b x - a - 2\right)} - 2 \, {\left(2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)\right)}}{b}}{6 \, b}"," ",0,"1/6*(2*b^2*x^3 + (sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*((b*x + a + 1)*(2*(b*x + a + 1)/b^2 - (6*a*b^6 + 7*b^6)/b^8) + 3*(2*a^2*b^6 + 6*a*b^6 + 3*b^6)/b^8) + 6*(2*a^2 + 2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))/b^2)*b + 3*((b*x + a + 1)^2 - 2*(b*x + a + 1)*a - 2*b*x - 2*a - 2)*a/b + 3*(sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*(b*x - a - 2) - 2*(2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1)))*a/b + 3*(sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*(b*x - a - 2) - 2*(2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1)))/b)/b","B",0
278,1,151,0,0.260442," ","integrate(b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x + \frac{\sqrt{b x + a + 1} \sqrt{b x + a - 1} {\left(b x - a - 2\right)} + 2 \, {\left(\sqrt{b x + a + 1} \sqrt{b x + a - 1} + 2 \, \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)\right)} a - 2 \, {\left(2 \, a + 1\right)} \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right) + 2 \, \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 4 \, \log\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}{2 \, b}"," ",0,"1/2*b*x^2 + a*x + 1/2*(sqrt(b*x + a + 1)*sqrt(b*x + a - 1)*(b*x - a - 2) + 2*(sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 2*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1)))*a - 2*(2*a + 1)*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1)) + 2*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 4*log(sqrt(b*x + a + 1) - sqrt(b*x + a - 1)))/b","B",0
279,1,103,0,0.232187," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x,x, algorithm=""giac"")","b x - a \log\left({\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2}\right) + a \log\left({\left| b x \right|}\right) + 2 \, \sqrt{-a^{2} + 1} \arctan\left(\frac{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, a}{2 \, \sqrt{-a^{2} + 1}}\right) + \sqrt{b x + a + 1} \sqrt{b x + a - 1} + a + 1"," ",0,"b*x - a*log((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2) + a*log(abs(b*x)) + 2*sqrt(-a^2 + 1)*arctan(1/2*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*a)/sqrt(-a^2 + 1)) + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + a + 1","A",0
280,1,200,0,0.247016," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^2,x, algorithm=""giac"")","-\frac{\frac{2 \, a b^{2} \arctan\left(\frac{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, a}{2 \, \sqrt{-a^{2} + 1}}\right)}{\sqrt{-a^{2} + 1}} + b^{2} \log\left({\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2}\right) - b^{2} \log\left({\left| b x \right|}\right) - \frac{4 \, {\left(a b^{2} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, b^{2}\right)}}{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 4 \, a {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 4} + \frac{{\left(b x + a + 1\right)} b^{2} - b^{2}}{b x}}{b}"," ",0,"-(2*a*b^2*arctan(1/2*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*a)/sqrt(-a^2 + 1))/sqrt(-a^2 + 1) + b^2*log((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2) - b^2*log(abs(b*x)) - 4*(a*b^2*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*b^2)/((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 4*a*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 4) + ((b*x + a + 1)*b^2 - b^2)/(b*x))/b","B",0
281,1,326,0,0.332598," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^3,x, algorithm=""giac"")","\frac{\frac{2 \, b^{3} \arctan\left(\frac{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, a}{2 \, \sqrt{-a^{2} + 1}}\right)}{{\left(a^{2} - 1\right)} \sqrt{-a^{2} + 1}} + \frac{4 \, {\left(2 \, a^{2} b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 4 \, a^{3} b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 2 \, a b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} + 8 \, a^{2} b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 4 \, b^{3} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 8 \, a b^{3}\right)}}{{\left({\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 4 \, a {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 4\right)}^{2} {\left(a^{2} - 1\right)}} - \frac{2 \, {\left(b x + a + 1\right)} b^{3} - a b^{3} - 2 \, b^{3}}{b^{2} x^{2}}}{2 \, b}"," ",0,"1/2*(2*b^3*arctan(1/2*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*a)/sqrt(-a^2 + 1))/((a^2 - 1)*sqrt(-a^2 + 1)) + 4*(2*a^2*b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 4*a^3*b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 2*a*b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 + 8*a^2*b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 4*b^3*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 8*a*b^3)/(((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 4*a*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 4)^2*(a^2 - 1)) - (2*(b*x + a + 1)*b^3 - a*b^3 - 2*b^3)/(b^2*x^2))/b","B",0
282,1,487,0,0.699152," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^4,x, algorithm=""giac"")","-\frac{\frac{6 \, a b^{4} \arctan\left(\frac{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, a}{2 \, \sqrt{-a^{2} + 1}}\right)}{{\left(a^{4} - 2 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1}} - \frac{4 \, {\left(12 \, a^{4} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} - 16 \, a^{5} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 3 \, a b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{10} + 6 \, a^{2} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} - 56 \, a^{3} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} + 48 \, a^{4} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} + 12 \, b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} - 48 \, a b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} + 192 \, a^{2} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 96 \, a^{3} b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 144 \, a b^{4} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 32 \, a^{2} b^{4} + 64 \, b^{4}\right)}}{{\left(a^{4} - 2 \, a^{2} + 1\right)} {\left({\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 4 \, a {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 4\right)}^{3}} + \frac{3 \, {\left(b x + a + 1\right)} b^{4} - a b^{4} - 3 \, b^{4}}{b^{3} x^{3}}}{6 \, b}"," ",0,"-1/6*(6*a*b^4*arctan(1/2*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*a)/sqrt(-a^2 + 1))/((a^4 - 2*a^2 + 1)*sqrt(-a^2 + 1)) - 4*(12*a^4*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 - 16*a^5*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 3*a*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^10 + 6*a^2*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 - 56*a^3*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 + 48*a^4*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 + 12*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 - 48*a*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 + 192*a^2*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 96*a^3*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 144*a*b^4*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 32*a^2*b^4 + 64*b^4)/((a^4 - 2*a^2 + 1)*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 4*a*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 4)^3) + (3*(b*x + a + 1)*b^4 - a*b^4 - 3*b^4)/(b^3*x^3))/b","B",0
283,1,817,0,1.000755," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(4 \, a^{2} b^{5} + b^{5}\right)} \arctan\left(\frac{{\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 2 \, a}{2 \, \sqrt{-a^{2} + 1}}\right)}{{\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} \sqrt{-a^{2} + 1}} + \frac{2 \, {\left(128 \, a^{6} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{10} + 12 \, a^{2} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{14} - 128 \, a^{7} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} - 168 \, a^{3} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{12} + 448 \, a^{4} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{10} + 3 \, b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{14} - 1216 \, a^{5} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} - 42 \, a b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{12} + 512 \, a^{6} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} + 768 \, a^{2} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{10} - 2544 \, a^{3} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} + 5632 \, a^{4} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 84 \, b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{10} - 1536 \, a^{5} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 312 \, a b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{8} + 1920 \, a^{2} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 7552 \, a^{3} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} + 1024 \, a^{4} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 336 \, b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{6} - 992 \, a b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} + 5888 \, a^{2} b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 256 \, a^{3} b^{5} - 192 \, b^{5} {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} - 1664 \, a b^{5}\right)}}{{\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} {\left({\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{4} - 4 \, a {\left(\sqrt{b x + a + 1} - \sqrt{b x + a - 1}\right)}^{2} + 4\right)}^{4}} - \frac{4 \, {\left(b x + a + 1\right)} b^{5} - a b^{5} - 4 \, b^{5}}{b^{4} x^{4}}}{12 \, b}"," ",0,"1/12*(3*(4*a^2*b^5 + b^5)*arctan(1/2*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 2*a)/sqrt(-a^2 + 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*sqrt(-a^2 + 1)) + 2*(128*a^6*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^10 + 12*a^2*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^14 - 128*a^7*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 - 168*a^3*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^12 + 448*a^4*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^10 + 3*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^14 - 1216*a^5*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 - 42*a*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^12 + 512*a^6*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 + 768*a^2*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^10 - 2544*a^3*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 + 5632*a^4*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 84*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^10 - 1536*a^5*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 312*a*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^8 + 1920*a^2*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 7552*a^3*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 + 1024*a^4*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 336*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^6 - 992*a*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 + 5888*a^2*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 256*a^3*b^5 - 192*b^5*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 - 1664*a*b^5)/((a^6 - 3*a^4 + 3*a^2 - 1)*((sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^4 - 4*a*(sqrt(b*x + a + 1) - sqrt(b*x + a - 1))^2 + 4)^4) - (4*(b*x + a + 1)*b^5 - a*b^5 - 4*b^5)/(b^4*x^4))/b","B",0
284,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2)*x^3,x, algorithm=""giac"")","\int x^{3} e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}\,{d x}"," ",0,"integrate(x^3*e^(arccosh(b*x + a)^2), x)","F",0
285,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2)*x^2,x, algorithm=""giac"")","\int x^{2} e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}\,{d x}"," ",0,"integrate(x^2*e^(arccosh(b*x + a)^2), x)","F",0
286,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2)*x,x, algorithm=""giac"")","\int x e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}\,{d x}"," ",0,"integrate(x*e^(arccosh(b*x + a)^2), x)","F",0
287,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2),x, algorithm=""giac"")","\int e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}\,{d x}"," ",0,"integrate(e^(arccosh(b*x + a)^2), x)","F",0
288,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2)/x,x, algorithm=""giac"")","\int \frac{e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}}{x}\,{d x}"," ",0,"integrate(e^(arccosh(b*x + a)^2)/x, x)","F",0
289,0,0,0,0.000000," ","integrate(exp(arccosh(b*x+a)^2)/x^2,x, algorithm=""giac"")","\int \frac{e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}}{x^{2}}\,{d x}"," ",0,"integrate(e^(arccosh(b*x + a)^2)/x^2, x)","F",0
290,0,0,0,0.000000," ","integrate(arccosh(b*x+a)/(a*d/b+d*x),x, algorithm=""giac"")","\int \frac{\operatorname{arcosh}\left(b x + a\right)}{d x + \frac{a d}{b}}\,{d x}"," ",0,"integrate(arccosh(b*x + a)/(d*x + a*d/b), x)","F",0
291,0,0,0,0.000000," ","integrate(x/arccosh(x)/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{x + 1} \sqrt{x - 1} \operatorname{arcosh}\left(x\right)}\,{d x}"," ",0,"integrate(x/(sqrt(x + 1)*sqrt(x - 1)*arccosh(x)), x)","F",0
292,1,106,0,0.191905," ","integrate(x^3*arccosh(b*x^4+a),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(b x^{4} + a + \sqrt{{\left(b x^{4} + a\right)}^{2} - 1}\right) - \frac{1}{4} \, b {\left(\frac{a \log\left({\left| -a b - {\left(x^{4} {\left| b \right|} - \sqrt{b^{2} x^{8} + 2 \, a b x^{4} + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b {\left| b \right|}} + \frac{\sqrt{b^{2} x^{8} + 2 \, a b x^{4} + a^{2} - 1}}{b^{2}}\right)}"," ",0,"1/4*x^4*log(b*x^4 + a + sqrt((b*x^4 + a)^2 - 1)) - 1/4*b*(a*log(abs(-a*b - (x^4*abs(b) - sqrt(b^2*x^8 + 2*a*b*x^4 + a^2 - 1))*abs(b)))/(b*abs(b)) + sqrt(b^2*x^8 + 2*a*b*x^4 + a^2 - 1)/b^2)","B",0
293,1,124,0,0.731854," ","integrate(x^(-1+n)*arccosh(a+b*x^n),x, algorithm=""giac"")","-\frac{b {\left(\frac{a \log\left({\left| -a b - {\left(x^{n} {\left| b \right|} - \sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} - 1}\right)} {\left| b \right|} \right|}\right)}{b {\left| b \right|}} + \frac{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} - 1}}{b^{2}}\right)} - x^{n} \log\left(b x^{n} + a + \sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2} - 1}\right)}{n}"," ",0,"-(b*(a*log(abs(-a*b - (x^n*abs(b) - sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2 - 1))*abs(b)))/(b*abs(b)) + sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2 - 1)/b^2) - x^n*log(b*x^n + a + sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2 - 1)))/n","B",0
294,1,119,0,13.041461," ","integrate(arccosh(c/(b*x+a)),x, algorithm=""giac"")","\frac{c \arcsin\left(-\frac{b x + a}{c}\right) \mathrm{sgn}\left(b\right) \mathrm{sgn}\left(c\right)}{{\left| b \right|}} + x \log\left(\sqrt{\frac{c}{b x + a} + 1} \sqrt{\frac{c}{b x + a} - 1} + \frac{c}{b x + a}\right) - \frac{a \log\left(\frac{{\left| -2 \, b c - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + c^{2}} {\left| b \right|} \right|}}{{\left| -2 \, b^{2} x - 2 \, a b \right|}}\right)}{{\left| b \right|}}"," ",0,"c*arcsin(-(b*x + a)/c)*sgn(b)*sgn(c)/abs(b) + x*log(sqrt(c/(b*x + a) + 1)*sqrt(c/(b*x + a) - 1) + c/(b*x + a)) - a*log(abs(-2*b*c - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + c^2)*abs(b))/abs(-2*b^2*x - 2*a*b))/abs(b)","B",0
295,-1,0,0,0.000000," ","integrate(arccosh((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,-1,0,0,0.000000," ","integrate(1/arccosh((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
