1,1,67,0,2.540321," ","integrate(x^4*arccos(a*x),x, algorithm=""giac"")","\frac{1}{5} \, x^{5} \arccos\left(a x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} x^{4}}{25 \, a} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{75 \, a^{3}} - \frac{8 \, \sqrt{-a^{2} x^{2} + 1}}{75 \, a^{5}}"," ",0,"1/5*x^5*arccos(a*x) - 1/25*sqrt(-a^2*x^2 + 1)*x^4/a - 4/75*sqrt(-a^2*x^2 + 1)*x^2/a^3 - 8/75*sqrt(-a^2*x^2 + 1)/a^5","A",0
2,1,57,0,0.952255," ","integrate(x^3*arccos(a*x),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \arccos\left(a x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} x^{3}}{16 \, a} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x}{32 \, a^{3}} - \frac{3 \, \arccos\left(a x\right)}{32 \, a^{4}}"," ",0,"1/4*x^4*arccos(a*x) - 1/16*sqrt(-a^2*x^2 + 1)*x^3/a - 3/32*sqrt(-a^2*x^2 + 1)*x/a^3 - 3/32*arccos(a*x)/a^4","A",0
3,1,47,0,0.998286," ","integrate(x^2*arccos(a*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(a x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{9 \, a} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{9 \, a^{3}}"," ",0,"1/3*x^3*arccos(a*x) - 1/9*sqrt(-a^2*x^2 + 1)*x^2/a - 2/9*sqrt(-a^2*x^2 + 1)/a^3","A",0
4,1,37,0,3.967088," ","integrate(x*arccos(a*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arccos\left(a x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} x}{4 \, a} - \frac{\arccos\left(a x\right)}{4 \, a^{2}}"," ",0,"1/2*x^2*arccos(a*x) - 1/4*sqrt(-a^2*x^2 + 1)*x/a - 1/4*arccos(a*x)/a^2","A",0
5,1,26,0,0.965787," ","integrate(arccos(a*x),x, algorithm=""giac"")","\frac{a x \arccos\left(a x\right) - \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"(a*x*arccos(a*x) - sqrt(-a^2*x^2 + 1))/a","A",0
6,0,0,0,0.000000," ","integrate(arccos(a*x)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)}{x}\,{d x}"," ",0,"integrate(arccos(a*x)/x, x)","F",0
7,1,48,0,0.196917," ","integrate(arccos(a*x)/x^2,x, algorithm=""giac"")","\frac{1}{2} \, a {\left(\log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right)\right)} - \frac{\arccos\left(a x\right)}{x}"," ",0,"1/2*a*(log(sqrt(-a^2*x^2 + 1) + 1) - log(-sqrt(-a^2*x^2 + 1) + 1)) - arccos(a*x)/x","A",0
8,1,68,0,0.179162," ","integrate(arccos(a*x)/x^3,x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{a^{4} x}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{x {\left| a \right|}}\right)} a - \frac{\arccos\left(a x\right)}{2 \, x^{2}}"," ",0,"-1/4*(a^4*x/((sqrt(-a^2*x^2 + 1)*abs(a) + a)*abs(a)) - (sqrt(-a^2*x^2 + 1)*abs(a) + a)/(x*abs(a)))*a - 1/2*arccos(a*x)/x^2","B",0
9,1,77,0,0.205698," ","integrate(arccos(a*x)/x^4,x, algorithm=""giac"")","\frac{a^{4} \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - a^{4} \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right) + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} a^{2}}{x^{2}}}{12 \, a} - \frac{\arccos\left(a x\right)}{3 \, x^{3}}"," ",0,"1/12*(a^4*log(sqrt(-a^2*x^2 + 1) + 1) - a^4*log(-sqrt(-a^2*x^2 + 1) + 1) + 2*sqrt(-a^2*x^2 + 1)*a^2/x^2)/a - 1/3*arccos(a*x)/x^3","A",0
10,1,130,0,2.126369," ","integrate(arccos(a*x)/x^5,x, algorithm=""giac"")","-\frac{1}{96} \, {\left(\frac{{\left(a^{4} + \frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2}}{x^{2}}\right)} a^{6} x^{3}}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3} {\left| a \right|}} - \frac{\frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a^{4}}{x} + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3}}{x^{3}}}{a^{2} {\left| a \right|}}\right)} a - \frac{\arccos\left(a x\right)}{4 \, x^{4}}"," ",0,"-1/96*((a^4 + 9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)^2/x^2)*a^6*x^3/((sqrt(-a^2*x^2 + 1)*abs(a) + a)^3*abs(a)) - (9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a^4/x + (sqrt(-a^2*x^2 + 1)*abs(a) + a)^3/x^3)/(a^2*abs(a)))*a - 1/4*arccos(a*x)/x^4","B",0
11,1,101,0,1.959099," ","integrate(arccos(a*x)/x^6,x, algorithm=""giac"")","\frac{3 \, a^{6} \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - 3 \, a^{6} \log\left(-\sqrt{-a^{2} x^{2} + 1} + 1\right) - \frac{2 \, {\left(3 \, {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} a^{6} - 5 \, \sqrt{-a^{2} x^{2} + 1} a^{6}\right)}}{a^{4} x^{4}}}{80 \, a} - \frac{\arccos\left(a x\right)}{5 \, x^{5}}"," ",0,"1/80*(3*a^6*log(sqrt(-a^2*x^2 + 1) + 1) - 3*a^6*log(-sqrt(-a^2*x^2 + 1) + 1) - 2*(3*(-a^2*x^2 + 1)^(3/2)*a^6 - 5*sqrt(-a^2*x^2 + 1)*a^6)/(a^4*x^4))/a - 1/5*arccos(a*x)/x^5","A",0
12,1,100,0,3.945274," ","integrate(x^4*arccos(a*x)^2,x, algorithm=""giac"")","\frac{1}{5} \, x^{5} \arccos\left(a x\right)^{2} - \frac{2}{125} \, x^{5} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1} x^{4} \arccos\left(a x\right)}{25 \, a} - \frac{8 \, x^{3}}{225 \, a^{2}} - \frac{8 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)}{75 \, a^{3}} - \frac{16 \, x}{75 \, a^{4}} - \frac{16 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{75 \, a^{5}}"," ",0,"1/5*x^5*arccos(a*x)^2 - 2/125*x^5 - 2/25*sqrt(-a^2*x^2 + 1)*x^4*arccos(a*x)/a - 8/225*x^3/a^2 - 8/75*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)/a^3 - 16/75*x/a^4 - 16/75*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a^5","A",0
13,1,87,0,5.965247," ","integrate(x^3*arccos(a*x)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \arccos\left(a x\right)^{2} - \frac{1}{32} \, x^{4} - \frac{\sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)}{8 \, a} - \frac{3 \, x^{2}}{32 \, a^{2}} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)}{16 \, a^{3}} - \frac{3 \, \arccos\left(a x\right)^{2}}{32 \, a^{4}} + \frac{15}{256 \, a^{4}}"," ",0,"1/4*x^4*arccos(a*x)^2 - 1/32*x^4 - 1/8*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)/a - 3/32*x^2/a^2 - 3/16*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)/a^3 - 3/32*arccos(a*x)^2/a^4 + 15/256/a^4","A",0
14,1,68,0,0.193316," ","integrate(x^2*arccos(a*x)^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(a x\right)^{2} - \frac{2}{27} \, x^{3} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)}{9 \, a} - \frac{4 \, x}{9 \, a^{2}} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{9 \, a^{3}}"," ",0,"1/3*x^3*arccos(a*x)^2 - 2/27*x^3 - 2/9*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)/a - 4/9*x/a^2 - 4/9*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a^3","A",0
15,1,55,0,0.186847," ","integrate(x*arccos(a*x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arccos\left(a x\right)^{2} - \frac{1}{4} \, x^{2} - \frac{\sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)}{2 \, a} - \frac{\arccos\left(a x\right)^{2}}{4 \, a^{2}} + \frac{1}{8 \, a^{2}}"," ",0,"1/2*x^2*arccos(a*x)^2 - 1/4*x^2 - 1/2*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)/a - 1/4*arccos(a*x)^2/a^2 + 1/8/a^2","A",0
16,1,33,0,0.193638," ","integrate(arccos(a*x)^2,x, algorithm=""giac"")","x \arccos\left(a x\right)^{2} - 2 \, x - \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{a}"," ",0,"x*arccos(a*x)^2 - 2*x - 2*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a","A",0
17,0,0,0,0.000000," ","integrate(arccos(a*x)^2/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{2}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^2/x, x)","F",0
18,0,0,0,0.000000," ","integrate(arccos(a*x)^2/x^2,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(arccos(a*x)^2/x^2, x)","F",0
19,1,82,0,0.250813," ","integrate(arccos(a*x)^2/x^3,x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(\frac{a^{4} x}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} {\left| a \right|}} - \frac{\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a}{x {\left| a \right|}}\right)} \arccos\left(a x\right) - 2 \, a \log\left({\left| x \right|}\right)\right)} a - \frac{\arccos\left(a x\right)^{2}}{2 \, x^{2}}"," ",0,"-1/2*((a^4*x/((sqrt(-a^2*x^2 + 1)*abs(a) + a)*abs(a)) - (sqrt(-a^2*x^2 + 1)*abs(a) + a)/(x*abs(a)))*arccos(a*x) - 2*a*log(abs(x)))*a - 1/2*arccos(a*x)^2/x^2","B",0
20,0,0,0,0.000000," ","integrate(arccos(a*x)^2/x^4,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{2}}{x^{4}}\,{d x}"," ",0,"integrate(arccos(a*x)^2/x^4, x)","F",0
21,1,185,0,3.352964," ","integrate(arccos(a*x)^2/x^5,x, algorithm=""giac"")","-\frac{1}{48} \, {\left({\left(\frac{{\left(a^{4} + \frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{2}}{x^{2}}\right)} a^{6} x^{3}}{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3} {\left| a \right|}} - \frac{\frac{9 \, {\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)} a^{4}}{x} + \frac{{\left(\sqrt{-a^{2} x^{2} + 1} {\left| a \right|} + a\right)}^{3}}{x^{3}}}{a^{2} {\left| a \right|}}\right)} \arccos\left(a x\right) - \frac{4 \, {\left(2 \, a^{4} \log\left(a^{2} x^{2}\right) - \frac{2 \, {\left(a^{2} x^{2} - 1\right)} a^{4} + 3 \, a^{4}}{a^{2} x^{2}}\right)}}{a}\right)} a - \frac{\arccos\left(a x\right)^{2}}{4 \, x^{4}}"," ",0,"-1/48*(((a^4 + 9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)^2/x^2)*a^6*x^3/((sqrt(-a^2*x^2 + 1)*abs(a) + a)^3*abs(a)) - (9*(sqrt(-a^2*x^2 + 1)*abs(a) + a)*a^4/x + (sqrt(-a^2*x^2 + 1)*abs(a) + a)^3/x^3)/(a^2*abs(a)))*arccos(a*x) - 4*(2*a^4*log(a^2*x^2) - (2*(a^2*x^2 - 1)*a^4 + 3*a^4)/(a^2*x^2))/a)*a - 1/4*arccos(a*x)^2/x^4","B",0
22,1,175,0,0.213921," ","integrate(x^4*arccos(a*x)^3,x, algorithm=""giac"")","\frac{1}{5} \, x^{5} \arccos\left(a x\right)^{3} - \frac{6}{125} \, x^{5} \arccos\left(a x\right) - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{4} \arccos\left(a x\right)^{2}}{25 \, a} + \frac{6 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{625 \, a} - \frac{8 \, x^{3} \arccos\left(a x\right)}{75 \, a^{2}} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)^{2}}{25 \, a^{3}} + \frac{272 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{5625 \, a^{3}} - \frac{16 \, x \arccos\left(a x\right)}{25 \, a^{4}} - \frac{8 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{2}}{25 \, a^{5}} + \frac{4144 \, \sqrt{-a^{2} x^{2} + 1}}{5625 \, a^{5}}"," ",0,"1/5*x^5*arccos(a*x)^3 - 6/125*x^5*arccos(a*x) - 3/25*sqrt(-a^2*x^2 + 1)*x^4*arccos(a*x)^2/a + 6/625*sqrt(-a^2*x^2 + 1)*x^4/a - 8/75*x^3*arccos(a*x)/a^2 - 4/25*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)^2/a^3 + 272/5625*sqrt(-a^2*x^2 + 1)*x^2/a^3 - 16/25*x*arccos(a*x)/a^4 - 8/25*sqrt(-a^2*x^2 + 1)*arccos(a*x)^2/a^5 + 4144/5625*sqrt(-a^2*x^2 + 1)/a^5","A",0
23,1,141,0,0.212686," ","integrate(x^3*arccos(a*x)^3,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \arccos\left(a x\right)^{3} - \frac{3}{32} \, x^{4} \arccos\left(a x\right) - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)^{2}}{16 \, a} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{3}}{128 \, a} - \frac{9 \, x^{2} \arccos\left(a x\right)}{32 \, a^{2}} - \frac{9 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)^{2}}{32 \, a^{3}} - \frac{3 \, \arccos\left(a x\right)^{3}}{32 \, a^{4}} + \frac{45 \, \sqrt{-a^{2} x^{2} + 1} x}{256 \, a^{3}} + \frac{45 \, \arccos\left(a x\right)}{256 \, a^{4}}"," ",0,"1/4*x^4*arccos(a*x)^3 - 3/32*x^4*arccos(a*x) - 3/16*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)^2/a + 3/128*sqrt(-a^2*x^2 + 1)*x^3/a - 9/32*x^2*arccos(a*x)/a^2 - 9/32*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)^2/a^3 - 3/32*arccos(a*x)^3/a^4 + 45/256*sqrt(-a^2*x^2 + 1)*x/a^3 + 45/256*arccos(a*x)/a^4","A",0
24,1,117,0,0.194679," ","integrate(x^2*arccos(a*x)^3,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(a x\right)^{3} - \frac{2}{9} \, x^{3} \arccos\left(a x\right) - \frac{\sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)^{2}}{3 \, a} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{27 \, a} - \frac{4 \, x \arccos\left(a x\right)}{3 \, a^{2}} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{2}}{3 \, a^{3}} + \frac{40 \, \sqrt{-a^{2} x^{2} + 1}}{27 \, a^{3}}"," ",0,"1/3*x^3*arccos(a*x)^3 - 2/9*x^3*arccos(a*x) - 1/3*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)^2/a + 2/27*sqrt(-a^2*x^2 + 1)*x^2/a - 4/3*x*arccos(a*x)/a^2 - 2/3*sqrt(-a^2*x^2 + 1)*arccos(a*x)^2/a^3 + 40/27*sqrt(-a^2*x^2 + 1)/a^3","A",0
25,1,83,0,0.209729," ","integrate(x*arccos(a*x)^3,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arccos\left(a x\right)^{3} - \frac{3}{4} \, x^{2} \arccos\left(a x\right) - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)^{2}}{4 \, a} - \frac{\arccos\left(a x\right)^{3}}{4 \, a^{2}} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x}{8 \, a} + \frac{3 \, \arccos\left(a x\right)}{8 \, a^{2}}"," ",0,"1/2*x^2*arccos(a*x)^3 - 3/4*x^2*arccos(a*x) - 3/4*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)^2/a - 1/4*arccos(a*x)^3/a^2 + 3/8*sqrt(-a^2*x^2 + 1)*x/a + 3/8*arccos(a*x)/a^2","A",0
26,1,56,0,0.180173," ","integrate(arccos(a*x)^3,x, algorithm=""giac"")","x \arccos\left(a x\right)^{3} - 6 \, x \arccos\left(a x\right) - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{2}}{a} + \frac{6 \, \sqrt{-a^{2} x^{2} + 1}}{a}"," ",0,"x*arccos(a*x)^3 - 6*x*arccos(a*x) - 3*sqrt(-a^2*x^2 + 1)*arccos(a*x)^2/a + 6*sqrt(-a^2*x^2 + 1)/a","A",0
27,0,0,0,0.000000," ","integrate(arccos(a*x)^3/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{3}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^3/x, x)","F",0
28,0,0,0,0.000000," ","integrate(arccos(a*x)^3/x^2,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(arccos(a*x)^3/x^2, x)","F",0
29,0,0,0,0.000000," ","integrate(arccos(a*x)^3/x^3,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(arccos(a*x)^3/x^3, x)","F",0
30,0,0,0,0.000000," ","integrate(arccos(a*x)^3/x^4,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{3}}{x^{4}}\,{d x}"," ",0,"integrate(arccos(a*x)^3/x^4, x)","F",0
31,-2,0,0,0.000000," ","integrate(arccos(a*x)^3/x^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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
32,1,245,0,0.196369," ","integrate(x^5*arccos(a*x)^4,x, algorithm=""giac"")","\frac{1}{6} \, x^{6} \arccos\left(a x\right)^{4} - \frac{1}{18} \, x^{6} \arccos\left(a x\right)^{2} - \frac{\sqrt{-a^{2} x^{2} + 1} x^{5} \arccos\left(a x\right)^{3}}{9 \, a} + \frac{1}{324} \, x^{6} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{5} \arccos\left(a x\right)}{54 \, a} - \frac{5 \, x^{4} \arccos\left(a x\right)^{2}}{48 \, a^{2}} - \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)^{3}}{36 \, a^{3}} + \frac{65 \, x^{4}}{3456 \, a^{2}} + \frac{65 \, \sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)}{864 \, a^{3}} - \frac{5 \, x^{2} \arccos\left(a x\right)^{2}}{16 \, a^{4}} - \frac{5 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)^{3}}{24 \, a^{5}} + \frac{245 \, x^{2}}{1152 \, a^{4}} - \frac{5 \, \arccos\left(a x\right)^{4}}{96 \, a^{6}} + \frac{245 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)}{576 \, a^{5}} + \frac{245 \, \arccos\left(a x\right)^{2}}{1152 \, a^{6}} - \frac{9485}{82944 \, a^{6}}"," ",0,"1/6*x^6*arccos(a*x)^4 - 1/18*x^6*arccos(a*x)^2 - 1/9*sqrt(-a^2*x^2 + 1)*x^5*arccos(a*x)^3/a + 1/324*x^6 + 1/54*sqrt(-a^2*x^2 + 1)*x^5*arccos(a*x)/a - 5/48*x^4*arccos(a*x)^2/a^2 - 5/36*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)^3/a^3 + 65/3456*x^4/a^2 + 65/864*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)/a^3 - 5/16*x^2*arccos(a*x)^2/a^4 - 5/24*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)^3/a^5 + 245/1152*x^2/a^4 - 5/96*arccos(a*x)^4/a^6 + 245/576*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)/a^5 + 245/1152*arccos(a*x)^2/a^6 - 9485/82944/a^6","A",0
33,1,212,0,3.292078," ","integrate(x^4*arccos(a*x)^4,x, algorithm=""giac"")","\frac{1}{5} \, x^{5} \arccos\left(a x\right)^{4} - \frac{12}{125} \, x^{5} \arccos\left(a x\right)^{2} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{4} \arccos\left(a x\right)^{3}}{25 \, a} + \frac{24}{3125} \, x^{5} + \frac{24 \, \sqrt{-a^{2} x^{2} + 1} x^{4} \arccos\left(a x\right)}{625 \, a} - \frac{16 \, x^{3} \arccos\left(a x\right)^{2}}{75 \, a^{2}} - \frac{16 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)^{3}}{75 \, a^{3}} + \frac{1088 \, x^{3}}{16875 \, a^{2}} + \frac{1088 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)}{5625 \, a^{3}} - \frac{32 \, x \arccos\left(a x\right)^{2}}{25 \, a^{4}} - \frac{32 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{3}}{75 \, a^{5}} + \frac{16576 \, x}{5625 \, a^{4}} + \frac{16576 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{5625 \, a^{5}}"," ",0,"1/5*x^5*arccos(a*x)^4 - 12/125*x^5*arccos(a*x)^2 - 4/25*sqrt(-a^2*x^2 + 1)*x^4*arccos(a*x)^3/a + 24/3125*x^5 + 24/625*sqrt(-a^2*x^2 + 1)*x^4*arccos(a*x)/a - 16/75*x^3*arccos(a*x)^2/a^2 - 16/75*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)^3/a^3 + 1088/16875*x^3/a^2 + 1088/5625*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)/a^3 - 32/25*x*arccos(a*x)^2/a^4 - 32/75*sqrt(-a^2*x^2 + 1)*arccos(a*x)^3/a^5 + 16576/5625*x/a^4 + 16576/5625*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a^5","A",0
34,1,173,0,0.198898," ","integrate(x^3*arccos(a*x)^4,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \arccos\left(a x\right)^{4} - \frac{3}{16} \, x^{4} \arccos\left(a x\right)^{2} - \frac{\sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)^{3}}{4 \, a} + \frac{3}{128} \, x^{4} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{3} \arccos\left(a x\right)}{32 \, a} - \frac{9 \, x^{2} \arccos\left(a x\right)^{2}}{16 \, a^{2}} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)^{3}}{8 \, a^{3}} + \frac{45 \, x^{2}}{128 \, a^{2}} - \frac{3 \, \arccos\left(a x\right)^{4}}{32 \, a^{4}} + \frac{45 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)}{64 \, a^{3}} + \frac{45 \, \arccos\left(a x\right)^{2}}{128 \, a^{4}} - \frac{189}{1024 \, a^{4}}"," ",0,"1/4*x^4*arccos(a*x)^4 - 3/16*x^4*arccos(a*x)^2 - 1/4*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)^3/a + 3/128*x^4 + 3/32*sqrt(-a^2*x^2 + 1)*x^3*arccos(a*x)/a - 9/16*x^2*arccos(a*x)^2/a^2 - 3/8*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)^3/a^3 + 45/128*x^2/a^2 - 3/32*arccos(a*x)^4/a^4 + 45/64*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)/a^3 + 45/128*arccos(a*x)^2/a^4 - 189/1024/a^4","A",0
35,1,140,0,0.195883," ","integrate(x^2*arccos(a*x)^4,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(a x\right)^{4} - \frac{4}{9} \, x^{3} \arccos\left(a x\right)^{2} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)^{3}}{9 \, a} + \frac{8}{81} \, x^{3} + \frac{8 \, \sqrt{-a^{2} x^{2} + 1} x^{2} \arccos\left(a x\right)}{27 \, a} - \frac{8 \, x \arccos\left(a x\right)^{2}}{3 \, a^{2}} - \frac{8 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{3}}{9 \, a^{3}} + \frac{160 \, x}{27 \, a^{2}} + \frac{160 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{27 \, a^{3}}"," ",0,"1/3*x^3*arccos(a*x)^4 - 4/9*x^3*arccos(a*x)^2 - 4/9*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)^3/a + 8/81*x^3 + 8/27*sqrt(-a^2*x^2 + 1)*x^2*arccos(a*x)/a - 8/3*x*arccos(a*x)^2/a^2 - 8/9*sqrt(-a^2*x^2 + 1)*arccos(a*x)^3/a^3 + 160/27*x/a^2 + 160/27*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a^3","A",0
36,1,101,0,0.190393," ","integrate(x*arccos(a*x)^4,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arccos\left(a x\right)^{4} - \frac{3}{2} \, x^{2} \arccos\left(a x\right)^{2} - \frac{\sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)^{3}}{a} + \frac{3}{4} \, x^{2} - \frac{\arccos\left(a x\right)^{4}}{4 \, a^{2}} + \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x \arccos\left(a x\right)}{2 \, a} + \frac{3 \, \arccos\left(a x\right)^{2}}{4 \, a^{2}} - \frac{3}{8 \, a^{2}}"," ",0,"1/2*x^2*arccos(a*x)^4 - 3/2*x^2*arccos(a*x)^2 - sqrt(-a^2*x^2 + 1)*x*arccos(a*x)^3/a + 3/4*x^2 - 1/4*arccos(a*x)^4/a^2 + 3/2*sqrt(-a^2*x^2 + 1)*x*arccos(a*x)/a + 3/4*arccos(a*x)^2/a^2 - 3/8/a^2","A",0
37,1,65,0,0.179789," ","integrate(arccos(a*x)^4,x, algorithm=""giac"")","x \arccos\left(a x\right)^{4} - 12 \, x \arccos\left(a x\right)^{2} - \frac{4 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)^{3}}{a} + 24 \, x + \frac{24 \, \sqrt{-a^{2} x^{2} + 1} \arccos\left(a x\right)}{a}"," ",0,"x*arccos(a*x)^4 - 12*x*arccos(a*x)^2 - 4*sqrt(-a^2*x^2 + 1)*arccos(a*x)^3/a + 24*x + 24*sqrt(-a^2*x^2 + 1)*arccos(a*x)/a","A",0
38,0,0,0,0.000000," ","integrate(arccos(a*x)^4/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{4}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^4/x, x)","F",0
39,0,0,0,0.000000," ","integrate(arccos(a*x)^4/x^2,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{4}}{x^{2}}\,{d x}"," ",0,"integrate(arccos(a*x)^4/x^2, x)","F",0
40,0,0,0,0.000000," ","integrate(arccos(a*x)^4/x^3,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{4}}{x^{3}}\,{d x}"," ",0,"integrate(arccos(a*x)^4/x^3, x)","F",0
41,0,0,0,0.000000," ","integrate(arccos(a*x)^4/x^4,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{4}}{x^{4}}\,{d x}"," ",0,"integrate(arccos(a*x)^4/x^4, x)","F",0
42,1,47,0,2.975299," ","integrate(x^6/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(7 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{5 \, \operatorname{Si}\left(5 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{9 \, \operatorname{Si}\left(3 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{5 \, \operatorname{Si}\left(\arccos\left(a x\right)\right)}{64 \, a^{7}}"," ",0,"-1/64*sin_integral(7*arccos(a*x))/a^7 - 5/64*sin_integral(5*arccos(a*x))/a^7 - 9/64*sin_integral(3*arccos(a*x))/a^7 - 5/64*sin_integral(arccos(a*x))/a^7","A",0
43,1,37,0,0.172736," ","integrate(x^5/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(6 \, \arccos\left(a x\right)\right)}{32 \, a^{6}} - \frac{\operatorname{Si}\left(4 \, \arccos\left(a x\right)\right)}{8 \, a^{6}} - \frac{5 \, \operatorname{Si}\left(2 \, \arccos\left(a x\right)\right)}{32 \, a^{6}}"," ",0,"-1/32*sin_integral(6*arccos(a*x))/a^6 - 1/8*sin_integral(4*arccos(a*x))/a^6 - 5/32*sin_integral(2*arccos(a*x))/a^6","A",0
44,1,35,0,2.814368," ","integrate(x^4/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(5 \, \arccos\left(a x\right)\right)}{16 \, a^{5}} - \frac{3 \, \operatorname{Si}\left(3 \, \arccos\left(a x\right)\right)}{16 \, a^{5}} - \frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{8 \, a^{5}}"," ",0,"-1/16*sin_integral(5*arccos(a*x))/a^5 - 3/16*sin_integral(3*arccos(a*x))/a^5 - 1/8*sin_integral(arccos(a*x))/a^5","A",0
45,1,25,0,1.974750," ","integrate(x^3/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(4 \, \arccos\left(a x\right)\right)}{8 \, a^{4}} - \frac{\operatorname{Si}\left(2 \, \arccos\left(a x\right)\right)}{4 \, a^{4}}"," ",0,"-1/8*sin_integral(4*arccos(a*x))/a^4 - 1/4*sin_integral(2*arccos(a*x))/a^4","A",0
46,1,23,0,1.929445," ","integrate(x^2/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(3 \, \arccos\left(a x\right)\right)}{4 \, a^{3}} - \frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{4 \, a^{3}}"," ",0,"-1/4*sin_integral(3*arccos(a*x))/a^3 - 1/4*sin_integral(arccos(a*x))/a^3","A",0
47,1,12,0,1.020753," ","integrate(x/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(2 \, \arccos\left(a x\right)\right)}{2 \, a^{2}}"," ",0,"-1/2*sin_integral(2*arccos(a*x))/a^2","A",0
48,1,10,0,0.978496," ","integrate(1/arccos(a*x),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{a}"," ",0,"-sin_integral(arccos(a*x))/a","A",0
49,0,0,0,0.000000," ","integrate(1/x/arccos(a*x),x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x^2/arccos(a*x),x, algorithm=""giac"")","\int \frac{1}{x^{2} \arccos\left(a x\right)}\,{d x}"," ",0,"integrate(1/(x^2*arccos(a*x)), x)","F",0
51,1,72,0,0.185592," ","integrate(x^6/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x^{6}}{a \arccos\left(a x\right)} - \frac{7 \, \operatorname{Ci}\left(7 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{25 \, \operatorname{Ci}\left(5 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{27 \, \operatorname{Ci}\left(3 \, \arccos\left(a x\right)\right)}{64 \, a^{7}} - \frac{5 \, \operatorname{Ci}\left(\arccos\left(a x\right)\right)}{64 \, a^{7}}"," ",0,"sqrt(-a^2*x^2 + 1)*x^6/(a*arccos(a*x)) - 7/64*cos_integral(7*arccos(a*x))/a^7 - 25/64*cos_integral(5*arccos(a*x))/a^7 - 27/64*cos_integral(3*arccos(a*x))/a^7 - 5/64*cos_integral(arccos(a*x))/a^7","A",0
52,1,62,0,0.189012," ","integrate(x^5/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x^{5}}{a \arccos\left(a x\right)} - \frac{3 \, \operatorname{Ci}\left(6 \, \arccos\left(a x\right)\right)}{16 \, a^{6}} - \frac{\operatorname{Ci}\left(4 \, \arccos\left(a x\right)\right)}{2 \, a^{6}} - \frac{5 \, \operatorname{Ci}\left(2 \, \arccos\left(a x\right)\right)}{16 \, a^{6}}"," ",0,"sqrt(-a^2*x^2 + 1)*x^5/(a*arccos(a*x)) - 3/16*cos_integral(6*arccos(a*x))/a^6 - 1/2*cos_integral(4*arccos(a*x))/a^6 - 5/16*cos_integral(2*arccos(a*x))/a^6","A",0
53,1,60,0,2.525023," ","integrate(x^4/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x^{4}}{a \arccos\left(a x\right)} - \frac{5 \, \operatorname{Ci}\left(5 \, \arccos\left(a x\right)\right)}{16 \, a^{5}} - \frac{9 \, \operatorname{Ci}\left(3 \, \arccos\left(a x\right)\right)}{16 \, a^{5}} - \frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{8 \, a^{5}}"," ",0,"sqrt(-a^2*x^2 + 1)*x^4/(a*arccos(a*x)) - 5/16*cos_integral(5*arccos(a*x))/a^5 - 9/16*cos_integral(3*arccos(a*x))/a^5 - 1/8*cos_integral(arccos(a*x))/a^5","A",0
54,1,50,0,0.186109," ","integrate(x^3/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x^{3}}{a \arccos\left(a x\right)} - \frac{\operatorname{Ci}\left(4 \, \arccos\left(a x\right)\right)}{2 \, a^{4}} - \frac{\operatorname{Ci}\left(2 \, \arccos\left(a x\right)\right)}{2 \, a^{4}}"," ",0,"sqrt(-a^2*x^2 + 1)*x^3/(a*arccos(a*x)) - 1/2*cos_integral(4*arccos(a*x))/a^4 - 1/2*cos_integral(2*arccos(a*x))/a^4","A",0
55,1,48,0,2.806302," ","integrate(x^2/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{a \arccos\left(a x\right)} - \frac{3 \, \operatorname{Ci}\left(3 \, \arccos\left(a x\right)\right)}{4 \, a^{3}} - \frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{4 \, a^{3}}"," ",0,"sqrt(-a^2*x^2 + 1)*x^2/(a*arccos(a*x)) - 3/4*cos_integral(3*arccos(a*x))/a^3 - 1/4*cos_integral(arccos(a*x))/a^3","A",0
56,1,36,0,0.180610," ","integrate(x/arccos(a*x)^2,x, algorithm=""giac"")","\frac{\sqrt{-a^{2} x^{2} + 1} x}{a \arccos\left(a x\right)} - \frac{\operatorname{Ci}\left(2 \, \arccos\left(a x\right)\right)}{a^{2}}"," ",0,"sqrt(-a^2*x^2 + 1)*x/(a*arccos(a*x)) - cos_integral(2*arccos(a*x))/a^2","A",0
57,1,33,0,1.715004," ","integrate(1/arccos(a*x)^2,x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{a} + \frac{\sqrt{-a^{2} x^{2} + 1}}{a \arccos\left(a x\right)}"," ",0,"-cos_integral(arccos(a*x))/a + sqrt(-a^2*x^2 + 1)/(a*arccos(a*x))","A",0
58,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^2,x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^2), x)","F",0
59,0,0,0,0.000000," ","integrate(1/x^2/arccos(a*x)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arccos\left(a x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*arccos(a*x)^2), x)","F",0
60,1,86,0,0.254016," ","integrate(x^4/arccos(a*x)^3,x, algorithm=""giac"")","\frac{5 \, x^{5}}{2 \, \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{4}}{2 \, a \arccos\left(a x\right)^{2}} - \frac{2 \, x^{3}}{a^{2} \arccos\left(a x\right)} + \frac{25 \, \operatorname{Si}\left(5 \, \arccos\left(a x\right)\right)}{32 \, a^{5}} + \frac{27 \, \operatorname{Si}\left(3 \, \arccos\left(a x\right)\right)}{32 \, a^{5}} + \frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{16 \, a^{5}}"," ",0,"5/2*x^5/arccos(a*x) + 1/2*sqrt(-a^2*x^2 + 1)*x^4/(a*arccos(a*x)^2) - 2*x^3/(a^2*arccos(a*x)) + 25/32*sin_integral(5*arccos(a*x))/a^5 + 27/32*sin_integral(3*arccos(a*x))/a^5 + 1/16*sin_integral(arccos(a*x))/a^5","A",0
61,1,75,0,0.233604," ","integrate(x^3/arccos(a*x)^3,x, algorithm=""giac"")","\frac{2 \, x^{4}}{\arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{3}}{2 \, a \arccos\left(a x\right)^{2}} - \frac{3 \, x^{2}}{2 \, a^{2} \arccos\left(a x\right)} + \frac{\operatorname{Si}\left(4 \, \arccos\left(a x\right)\right)}{a^{4}} + \frac{\operatorname{Si}\left(2 \, \arccos\left(a x\right)\right)}{2 \, a^{4}}"," ",0,"2*x^4/arccos(a*x) + 1/2*sqrt(-a^2*x^2 + 1)*x^3/(a*arccos(a*x)^2) - 3/2*x^2/(a^2*arccos(a*x)) + sin_integral(4*arccos(a*x))/a^4 + 1/2*sin_integral(2*arccos(a*x))/a^4","A",0
62,1,72,0,0.234309," ","integrate(x^2/arccos(a*x)^3,x, algorithm=""giac"")","\frac{3 \, x^{3}}{2 \, \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{2 \, a \arccos\left(a x\right)^{2}} - \frac{x}{a^{2} \arccos\left(a x\right)} + \frac{9 \, \operatorname{Si}\left(3 \, \arccos\left(a x\right)\right)}{8 \, a^{3}} + \frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{8 \, a^{3}}"," ",0,"3/2*x^3/arccos(a*x) + 1/2*sqrt(-a^2*x^2 + 1)*x^2/(a*arccos(a*x)^2) - x/(a^2*arccos(a*x)) + 9/8*sin_integral(3*arccos(a*x))/a^3 + 1/8*sin_integral(arccos(a*x))/a^3","A",0
63,1,57,0,0.379047," ","integrate(x/arccos(a*x)^3,x, algorithm=""giac"")","\frac{x^{2}}{\arccos\left(a x\right)} + \frac{\operatorname{Si}\left(2 \, \arccos\left(a x\right)\right)}{a^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1} x}{2 \, a \arccos\left(a x\right)^{2}} - \frac{1}{2 \, a^{2} \arccos\left(a x\right)}"," ",0,"x^2/arccos(a*x) + sin_integral(2*arccos(a*x))/a^2 + 1/2*sqrt(-a^2*x^2 + 1)*x/(a*arccos(a*x)^2) - 1/2/(a^2*arccos(a*x))","A",0
64,1,43,0,0.227193," ","integrate(1/arccos(a*x)^3,x, algorithm=""giac"")","\frac{x}{2 \, \arccos\left(a x\right)} + \frac{\operatorname{Si}\left(\arccos\left(a x\right)\right)}{2 \, a} + \frac{\sqrt{-a^{2} x^{2} + 1}}{2 \, a \arccos\left(a x\right)^{2}}"," ",0,"1/2*x/arccos(a*x) + 1/2*sin_integral(arccos(a*x))/a + 1/2*sqrt(-a^2*x^2 + 1)/(a*arccos(a*x)^2)","A",0
65,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^3,x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^3), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x^2/arccos(a*x)^3,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arccos\left(a x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^2*arccos(a*x)^3), x)","F",0
67,1,138,0,0.219247," ","integrate(x^4/arccos(a*x)^4,x, algorithm=""giac"")","\frac{5 \, x^{5}}{6 \, \arccos\left(a x\right)^{2}} - \frac{25 \, \sqrt{-a^{2} x^{2} + 1} x^{4}}{6 \, a \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{4}}{3 \, a \arccos\left(a x\right)^{3}} - \frac{2 \, x^{3}}{3 \, a^{2} \arccos\left(a x\right)^{2}} + \frac{2 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{a^{3} \arccos\left(a x\right)} + \frac{125 \, \operatorname{Ci}\left(5 \, \arccos\left(a x\right)\right)}{96 \, a^{5}} + \frac{27 \, \operatorname{Ci}\left(3 \, \arccos\left(a x\right)\right)}{32 \, a^{5}} + \frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{48 \, a^{5}}"," ",0,"5/6*x^5/arccos(a*x)^2 - 25/6*sqrt(-a^2*x^2 + 1)*x^4/(a*arccos(a*x)) + 1/3*sqrt(-a^2*x^2 + 1)*x^4/(a*arccos(a*x)^3) - 2/3*x^3/(a^2*arccos(a*x)^2) + 2*sqrt(-a^2*x^2 + 1)*x^2/(a^3*arccos(a*x)) + 125/96*cos_integral(5*arccos(a*x))/a^5 + 27/32*cos_integral(3*arccos(a*x))/a^5 + 1/48*cos_integral(arccos(a*x))/a^5","A",0
68,1,125,0,0.384671," ","integrate(x^3/arccos(a*x)^4,x, algorithm=""giac"")","\frac{2 \, x^{4}}{3 \, \arccos\left(a x\right)^{2}} - \frac{8 \, \sqrt{-a^{2} x^{2} + 1} x^{3}}{3 \, a \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{3}}{3 \, a \arccos\left(a x\right)^{3}} - \frac{x^{2}}{2 \, a^{2} \arccos\left(a x\right)^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1} x}{a^{3} \arccos\left(a x\right)} + \frac{4 \, \operatorname{Ci}\left(4 \, \arccos\left(a x\right)\right)}{3 \, a^{4}} + \frac{\operatorname{Ci}\left(2 \, \arccos\left(a x\right)\right)}{3 \, a^{4}}"," ",0,"2/3*x^4/arccos(a*x)^2 - 8/3*sqrt(-a^2*x^2 + 1)*x^3/(a*arccos(a*x)) + 1/3*sqrt(-a^2*x^2 + 1)*x^3/(a*arccos(a*x)^3) - 1/2*x^2/(a^2*arccos(a*x)^2) + sqrt(-a^2*x^2 + 1)*x/(a^3*arccos(a*x)) + 4/3*cos_integral(4*arccos(a*x))/a^4 + 1/3*cos_integral(2*arccos(a*x))/a^4","A",0
69,1,121,0,0.186580," ","integrate(x^2/arccos(a*x)^4,x, algorithm=""giac"")","\frac{x^{3}}{2 \, \arccos\left(a x\right)^{2}} - \frac{3 \, \sqrt{-a^{2} x^{2} + 1} x^{2}}{2 \, a \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{3 \, a \arccos\left(a x\right)^{3}} + \frac{9 \, \operatorname{Ci}\left(3 \, \arccos\left(a x\right)\right)}{8 \, a^{3}} + \frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{24 \, a^{3}} - \frac{x}{3 \, a^{2} \arccos\left(a x\right)^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a^{3} \arccos\left(a x\right)}"," ",0,"1/2*x^3/arccos(a*x)^2 - 3/2*sqrt(-a^2*x^2 + 1)*x^2/(a*arccos(a*x)) + 1/3*sqrt(-a^2*x^2 + 1)*x^2/(a*arccos(a*x)^3) + 9/8*cos_integral(3*arccos(a*x))/a^3 + 1/24*cos_integral(arccos(a*x))/a^3 - 1/3*x/(a^2*arccos(a*x)^2) + 1/3*sqrt(-a^2*x^2 + 1)/(a^3*arccos(a*x))","A",0
70,1,83,0,0.572683," ","integrate(x/arccos(a*x)^4,x, algorithm=""giac"")","\frac{x^{2}}{3 \, \arccos\left(a x\right)^{2}} - \frac{2 \, \sqrt{-a^{2} x^{2} + 1} x}{3 \, a \arccos\left(a x\right)} + \frac{2 \, \operatorname{Ci}\left(2 \, \arccos\left(a x\right)\right)}{3 \, a^{2}} + \frac{\sqrt{-a^{2} x^{2} + 1} x}{3 \, a \arccos\left(a x\right)^{3}} - \frac{1}{6 \, a^{2} \arccos\left(a x\right)^{2}}"," ",0,"1/3*x^2/arccos(a*x)^2 - 2/3*sqrt(-a^2*x^2 + 1)*x/(a*arccos(a*x)) + 2/3*cos_integral(2*arccos(a*x))/a^2 + 1/3*sqrt(-a^2*x^2 + 1)*x/(a*arccos(a*x)^3) - 1/6/(a^2*arccos(a*x)^2)","A",0
71,1,66,0,0.190121," ","integrate(1/arccos(a*x)^4,x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(\arccos\left(a x\right)\right)}{6 \, a} + \frac{x}{6 \, \arccos\left(a x\right)^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1}}{6 \, a \arccos\left(a x\right)} + \frac{\sqrt{-a^{2} x^{2} + 1}}{3 \, a \arccos\left(a x\right)^{3}}"," ",0,"1/6*cos_integral(arccos(a*x))/a + 1/6*x/arccos(a*x)^2 - 1/6*sqrt(-a^2*x^2 + 1)/(a*arccos(a*x)) + 1/3*sqrt(-a^2*x^2 + 1)/(a*arccos(a*x)^3)","A",0
72,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^4,x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{4}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^4), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x^2/arccos(a*x)^4,x, algorithm=""giac"")","\int \frac{1}{x^{2} \arccos\left(a x\right)^{4}}\,{d x}"," ",0,"integrate(1/(x^2*arccos(a*x)^4), x)","F",0
74,1,315,0,0.535696," ","integrate(x^4*arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{10} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{10} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{1600 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{192 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{16 \, a^{5}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{16 \, a^{5}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} - \frac{\sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{10} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{1600 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{192 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{5} {\left(i - 1\right)}}"," ",0,"1/1600*sqrt(10)*sqrt(pi)*i*erf(sqrt(10)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/192*sqrt(6)*sqrt(pi)*i*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/32*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/160*sqrt(arccos(a*x))*e^(5*i*arccos(a*x))/a^5 + 1/32*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^5 + 1/16*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^5 + 1/16*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^5 + 1/32*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^5 + 1/160*sqrt(arccos(a*x))*e^(-5*i*arccos(a*x))/a^5 - 1/1600*sqrt(10)*sqrt(pi)*erf(-sqrt(10)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/192*sqrt(6)*sqrt(pi)*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/32*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1))","B",0
75,1,189,0,0.874781," ","integrate(x^3*arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{2} {\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{256 \, a^{4} {\left(i - 1\right)}} + \frac{\sqrt{\pi} i \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{32 \, a^{4} {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} {\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{256 \, a^{4} {\left(i - 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{32 \, a^{4} {\left(i - 1\right)}}"," ",0,"1/256*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 1/32*sqrt(pi)*i*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 1/64*sqrt(arccos(a*x))*e^(4*i*arccos(a*x))/a^4 + 1/16*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^4 + 1/16*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^4 + 1/64*sqrt(arccos(a*x))*e^(-4*i*arccos(a*x))/a^4 - 1/256*sqrt(2)*sqrt(pi)*erf(sqrt(2)*(i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 1/32*sqrt(pi)*erf((i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1))","B",0
76,1,210,0,0.279984," ","integrate(x^2*arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{144 \, a^{3} {\left(i - 1\right)}} + \frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a^{3} {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{8 \, a^{3}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{8 \, a^{3}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{144 \, a^{3} {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a^{3} {\left(i - 1\right)}}"," ",0,"1/144*sqrt(6)*sqrt(pi)*i*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 1/16*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 1/24*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^3 + 1/8*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^3 + 1/8*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^3 + 1/24*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^3 - 1/144*sqrt(6)*sqrt(pi)*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 1/16*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1))","B",0
77,1,89,0,1.568738," ","integrate(x*arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{16 \, a^{2} {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} - \frac{\sqrt{\pi} \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{16 \, a^{2} {\left(i - 1\right)}}"," ",0,"1/16*sqrt(pi)*i*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^2*(i - 1)) + 1/8*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^2 + 1/8*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^2 - 1/16*sqrt(pi)*erf((i - 1)*sqrt(arccos(a*x)))/(a^2*(i - 1))","B",0
78,1,105,0,0.215017," ","integrate(arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{4 \, a {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{2 \, a} + \frac{\sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{2 \, a} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{4 \, a {\left(i - 1\right)}}"," ",0,"1/4*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1)) + 1/2*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a + 1/2*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a - 1/4*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1))","B",0
79,0,0,0,0.000000," ","integrate(arccos(a*x)^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{\arccos\left(a x\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(arccos(a*x))/x, x)","F",0
80,1,434,0,0.503557," ","integrate(x^4*arccos(a*x)^(3/2),x, algorithm=""giac"")","\frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{1600 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} + \frac{i \sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{64 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{16 \, a^{5}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{16 \, a^{5}} - \frac{i \sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{64 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{1600 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} - \frac{3 \, \sqrt{10} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{10} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16000 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{384 \, a^{5} {\left(i - 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{64 \, a^{5} {\left(i - 1\right)}} + \frac{3 \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{10} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16000 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{384 \, a^{5} {\left(i - 1\right)}} + \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{64 \, a^{5} {\left(i - 1\right)}}"," ",0,"3/1600*i*sqrt(arccos(a*x))*e^(5*i*arccos(a*x))/a^5 + 1/160*arccos(a*x)^(3/2)*e^(5*i*arccos(a*x))/a^5 + 1/64*i*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^5 + 1/32*arccos(a*x)^(3/2)*e^(3*i*arccos(a*x))/a^5 + 3/32*i*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^5 + 1/16*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a^5 - 3/32*i*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^5 + 1/16*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a^5 - 1/64*i*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^5 + 1/32*arccos(a*x)^(3/2)*e^(-3*i*arccos(a*x))/a^5 - 3/1600*i*sqrt(arccos(a*x))*e^(-5*i*arccos(a*x))/a^5 + 1/160*arccos(a*x)^(3/2)*e^(-5*i*arccos(a*x))/a^5 - 3/16000*sqrt(10)*sqrt(pi)*i*erf(-sqrt(10)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/384*sqrt(6)*sqrt(pi)*i*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 3/64*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 3/16000*sqrt(10)*sqrt(pi)*erf(sqrt(10)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/384*sqrt(6)*sqrt(pi)*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 3/64*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1))","B",0
81,1,269,0,0.318363," ","integrate(x^3*arccos(a*x)^(3/2),x, algorithm=""giac"")","\frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{512 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{512 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} - \frac{3 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\sqrt{2} {\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{2048 \, a^{4} {\left(i - 1\right)}} - \frac{3 \, \sqrt{\pi} i \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{128 \, a^{4} {\left(i - 1\right)}} + \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\sqrt{2} {\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{2048 \, a^{4} {\left(i - 1\right)}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{128 \, a^{4} {\left(i - 1\right)}}"," ",0,"3/512*i*sqrt(arccos(a*x))*e^(4*i*arccos(a*x))/a^4 + 1/64*arccos(a*x)^(3/2)*e^(4*i*arccos(a*x))/a^4 + 3/64*i*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^4 + 1/16*arccos(a*x)^(3/2)*e^(2*i*arccos(a*x))/a^4 - 3/64*i*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^4 + 1/16*arccos(a*x)^(3/2)*e^(-2*i*arccos(a*x))/a^4 - 3/512*i*sqrt(arccos(a*x))*e^(-4*i*arccos(a*x))/a^4 + 1/64*arccos(a*x)^(3/2)*e^(-4*i*arccos(a*x))/a^4 - 3/2048*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*(i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 3/128*sqrt(pi)*i*erf((i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 3/2048*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 3/128*sqrt(pi)*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1))","B",0
82,1,289,0,0.313995," ","integrate(x^2*arccos(a*x)^(3/2),x, algorithm=""giac"")","\frac{i \sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{48 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} + \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{16 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{8 \, a^{3}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{16 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{8 \, a^{3}} - \frac{i \sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{48 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} - \frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{288 \, a^{3} {\left(i - 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{3} {\left(i - 1\right)}} + \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{288 \, a^{3} {\left(i - 1\right)}} + \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{3} {\left(i - 1\right)}}"," ",0,"1/48*i*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^3 + 1/24*arccos(a*x)^(3/2)*e^(3*i*arccos(a*x))/a^3 + 3/16*i*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^3 + 1/8*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a^3 - 3/16*i*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^3 + 1/8*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a^3 - 1/48*i*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^3 + 1/24*arccos(a*x)^(3/2)*e^(-3*i*arccos(a*x))/a^3 - 1/288*sqrt(6)*sqrt(pi)*i*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 3/32*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 1/288*sqrt(6)*sqrt(pi)*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 3/32*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1))","B",0
83,1,129,0,1.115135," ","integrate(x*arccos(a*x)^(3/2),x, algorithm=""giac"")","\frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{32 \, a^{2}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{32 \, a^{2}} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} - \frac{3 \, \sqrt{\pi} i \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{64 \, a^{2} {\left(i - 1\right)}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{64 \, a^{2} {\left(i - 1\right)}}"," ",0,"3/32*i*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^2 + 1/8*arccos(a*x)^(3/2)*e^(2*i*arccos(a*x))/a^2 - 3/32*i*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^2 + 1/8*arccos(a*x)^(3/2)*e^(-2*i*arccos(a*x))/a^2 - 3/64*sqrt(pi)*i*erf((i - 1)*sqrt(arccos(a*x)))/(a^2*(i - 1)) + 3/64*sqrt(pi)*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^2*(i - 1))","A",0
84,1,144,0,0.327202," ","integrate(arccos(a*x)^(3/2),x, algorithm=""giac"")","\frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{4 \, a} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{2 \, a} - \frac{3 \, i \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{4 \, a} + \frac{\arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{2 \, a} - \frac{3 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{8 \, a {\left(i - 1\right)}} + \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{8 \, a {\left(i - 1\right)}}"," ",0,"3/4*i*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a + 1/2*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a - 3/4*i*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a + 1/2*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a - 3/8*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1)) + 3/8*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1))","B",0
85,0,0,0,0.000000," ","integrate(arccos(a*x)^(3/2)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^(3/2)/x, x)","F",0
86,1,547,0,0.350267," ","integrate(x^4*arccos(a*x)^(5/2),x, algorithm=""giac"")","\frac{i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{320 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} + \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{192 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{16 \, a^{5}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{32 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{16 \, a^{5}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{192 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{32 \, a^{5}} - \frac{i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{320 \, a^{5}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{160 \, a^{5}} - \frac{3 \, \sqrt{10} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{10} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32000 \, a^{5} {\left(i - 1\right)}} - \frac{5 \, \sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{2304 \, a^{5} {\left(i - 1\right)}} - \frac{15 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{128 \, a^{5} {\left(i - 1\right)}} - \frac{3 \, \sqrt{\arccos\left(a x\right)} e^{\left(5 \, i \arccos\left(a x\right)\right)}}{3200 \, a^{5}} - \frac{5 \, \sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{384 \, a^{5}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{64 \, a^{5}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{64 \, a^{5}} - \frac{5 \, \sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{384 \, a^{5}} - \frac{3 \, \sqrt{\arccos\left(a x\right)} e^{\left(-5 \, i \arccos\left(a x\right)\right)}}{3200 \, a^{5}} + \frac{3 \, \sqrt{10} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{10} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32000 \, a^{5} {\left(i - 1\right)}} + \frac{5 \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{2304 \, a^{5} {\left(i - 1\right)}} + \frac{15 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{128 \, a^{5} {\left(i - 1\right)}}"," ",0,"1/320*i*arccos(a*x)^(3/2)*e^(5*i*arccos(a*x))/a^5 + 1/160*arccos(a*x)^(5/2)*e^(5*i*arccos(a*x))/a^5 + 5/192*i*arccos(a*x)^(3/2)*e^(3*i*arccos(a*x))/a^5 + 1/32*arccos(a*x)^(5/2)*e^(3*i*arccos(a*x))/a^5 + 5/32*i*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a^5 + 1/16*arccos(a*x)^(5/2)*e^(i*arccos(a*x))/a^5 - 5/32*i*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a^5 + 1/16*arccos(a*x)^(5/2)*e^(-i*arccos(a*x))/a^5 - 5/192*i*arccos(a*x)^(3/2)*e^(-3*i*arccos(a*x))/a^5 + 1/32*arccos(a*x)^(5/2)*e^(-3*i*arccos(a*x))/a^5 - 1/320*i*arccos(a*x)^(3/2)*e^(-5*i*arccos(a*x))/a^5 + 1/160*arccos(a*x)^(5/2)*e^(-5*i*arccos(a*x))/a^5 - 3/32000*sqrt(10)*sqrt(pi)*i*erf(sqrt(10)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 5/2304*sqrt(6)*sqrt(pi)*i*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 15/128*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 3/3200*sqrt(arccos(a*x))*e^(5*i*arccos(a*x))/a^5 - 5/384*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^5 - 15/64*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^5 - 15/64*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^5 - 5/384*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^5 - 3/3200*sqrt(arccos(a*x))*e^(-5*i*arccos(a*x))/a^5 + 3/32000*sqrt(10)*sqrt(pi)*erf(-sqrt(10)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 5/2304*sqrt(6)*sqrt(pi)*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 15/128*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1))","B",0
87,1,345,0,2.579668," ","integrate(x^3*arccos(a*x)^(5/2),x, algorithm=""giac"")","\frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{512 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{16 \, a^{4}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{512 \, a^{4}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{64 \, a^{4}} - \frac{15 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{2} {\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{16384 \, a^{4} {\left(i - 1\right)}} - \frac{15 \, \sqrt{\pi} i \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{512 \, a^{4} {\left(i - 1\right)}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(4 \, i \arccos\left(a x\right)\right)}}{4096 \, a^{4}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{256 \, a^{4}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{256 \, a^{4}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-4 \, i \arccos\left(a x\right)\right)}}{4096 \, a^{4}} + \frac{15 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} {\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{16384 \, a^{4} {\left(i - 1\right)}} + \frac{15 \, \sqrt{\pi} \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{512 \, a^{4} {\left(i - 1\right)}}"," ",0,"5/512*i*arccos(a*x)^(3/2)*e^(4*i*arccos(a*x))/a^4 + 1/64*arccos(a*x)^(5/2)*e^(4*i*arccos(a*x))/a^4 + 5/64*i*arccos(a*x)^(3/2)*e^(2*i*arccos(a*x))/a^4 + 1/16*arccos(a*x)^(5/2)*e^(2*i*arccos(a*x))/a^4 - 5/64*i*arccos(a*x)^(3/2)*e^(-2*i*arccos(a*x))/a^4 + 1/16*arccos(a*x)^(5/2)*e^(-2*i*arccos(a*x))/a^4 - 5/512*i*arccos(a*x)^(3/2)*e^(-4*i*arccos(a*x))/a^4 + 1/64*arccos(a*x)^(5/2)*e^(-4*i*arccos(a*x))/a^4 - 15/16384*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 15/512*sqrt(pi)*i*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 15/4096*sqrt(arccos(a*x))*e^(4*i*arccos(a*x))/a^4 - 15/256*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^4 - 15/256*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^4 - 15/4096*sqrt(arccos(a*x))*e^(-4*i*arccos(a*x))/a^4 + 15/16384*sqrt(2)*sqrt(pi)*erf(sqrt(2)*(i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 15/512*sqrt(pi)*erf((i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1))","B",0
88,1,364,0,2.965085," ","integrate(x^2*arccos(a*x)^(5/2),x, algorithm=""giac"")","\frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{144 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} + \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{16 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{8 \, a^{3}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{16 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{8 \, a^{3}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{144 \, a^{3}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{24 \, a^{3}} - \frac{5 \, \sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{1728 \, a^{3} {\left(i - 1\right)}} - \frac{15 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{64 \, a^{3} {\left(i - 1\right)}} - \frac{5 \, \sqrt{\arccos\left(a x\right)} e^{\left(3 \, i \arccos\left(a x\right)\right)}}{288 \, a^{3}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{32 \, a^{3}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{32 \, a^{3}} - \frac{5 \, \sqrt{\arccos\left(a x\right)} e^{\left(-3 \, i \arccos\left(a x\right)\right)}}{288 \, a^{3}} + \frac{5 \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{1728 \, a^{3} {\left(i - 1\right)}} + \frac{15 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{64 \, a^{3} {\left(i - 1\right)}}"," ",0,"5/144*i*arccos(a*x)^(3/2)*e^(3*i*arccos(a*x))/a^3 + 1/24*arccos(a*x)^(5/2)*e^(3*i*arccos(a*x))/a^3 + 5/16*i*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a^3 + 1/8*arccos(a*x)^(5/2)*e^(i*arccos(a*x))/a^3 - 5/16*i*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a^3 + 1/8*arccos(a*x)^(5/2)*e^(-i*arccos(a*x))/a^3 - 5/144*i*arccos(a*x)^(3/2)*e^(-3*i*arccos(a*x))/a^3 + 1/24*arccos(a*x)^(5/2)*e^(-3*i*arccos(a*x))/a^3 - 5/1728*sqrt(6)*sqrt(pi)*i*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 15/64*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 5/288*sqrt(arccos(a*x))*e^(3*i*arccos(a*x))/a^3 - 15/32*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a^3 - 15/32*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a^3 - 5/288*sqrt(arccos(a*x))*e^(-3*i*arccos(a*x))/a^3 + 5/1728*sqrt(6)*sqrt(pi)*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 15/64*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1))","B",0
89,1,167,0,0.253043," ","integrate(x*arccos(a*x)^(5/2),x, algorithm=""giac"")","\frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{32 \, a^{2}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{32 \, a^{2}} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{8 \, a^{2}} - \frac{15 \, \sqrt{\pi} i \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{256 \, a^{2} {\left(i - 1\right)}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(2 \, i \arccos\left(a x\right)\right)}}{128 \, a^{2}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-2 \, i \arccos\left(a x\right)\right)}}{128 \, a^{2}} + \frac{15 \, \sqrt{\pi} \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{256 \, a^{2} {\left(i - 1\right)}}"," ",0,"5/32*i*arccos(a*x)^(3/2)*e^(2*i*arccos(a*x))/a^2 + 1/8*arccos(a*x)^(5/2)*e^(2*i*arccos(a*x))/a^2 - 5/32*i*arccos(a*x)^(3/2)*e^(-2*i*arccos(a*x))/a^2 + 1/8*arccos(a*x)^(5/2)*e^(-2*i*arccos(a*x))/a^2 - 15/256*sqrt(pi)*i*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^2*(i - 1)) - 15/128*sqrt(arccos(a*x))*e^(2*i*arccos(a*x))/a^2 - 15/128*sqrt(arccos(a*x))*e^(-2*i*arccos(a*x))/a^2 + 15/256*sqrt(pi)*erf((i - 1)*sqrt(arccos(a*x)))/(a^2*(i - 1))","A",0
90,1,181,0,2.681540," ","integrate(arccos(a*x)^(5/2),x, algorithm=""giac"")","\frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{4 \, a} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(i \arccos\left(a x\right)\right)}}{2 \, a} - \frac{5 \, i \arccos\left(a x\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{4 \, a} + \frac{\arccos\left(a x\right)^{\frac{5}{2}} e^{\left(-i \arccos\left(a x\right)\right)}}{2 \, a} - \frac{15 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a {\left(i - 1\right)}} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(i \arccos\left(a x\right)\right)}}{8 \, a} - \frac{15 \, \sqrt{\arccos\left(a x\right)} e^{\left(-i \arccos\left(a x\right)\right)}}{8 \, a} + \frac{15 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a {\left(i - 1\right)}}"," ",0,"5/4*i*arccos(a*x)^(3/2)*e^(i*arccos(a*x))/a + 1/2*arccos(a*x)^(5/2)*e^(i*arccos(a*x))/a - 5/4*i*arccos(a*x)^(3/2)*e^(-i*arccos(a*x))/a + 1/2*arccos(a*x)^(5/2)*e^(-i*arccos(a*x))/a - 15/16*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1)) - 15/8*sqrt(arccos(a*x))*e^(i*arccos(a*x))/a - 15/8*sqrt(arccos(a*x))*e^(-i*arccos(a*x))/a + 15/16*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1))","B",0
91,0,0,0,0.000000," ","integrate(arccos(a*x)^(5/2)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^(5/2)/x, x)","F",0
92,1,202,0,0.381676," ","integrate(x^4/arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{10} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{10} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{160 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{5} {\left(i - 1\right)}} + \frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{10} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{10} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{160 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{32 \, a^{5} {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{16 \, a^{5} {\left(i - 1\right)}}"," ",0,"1/160*sqrt(10)*sqrt(pi)*i*erf(-sqrt(10)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/32*sqrt(6)*sqrt(pi)*i*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) + 1/16*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/160*sqrt(10)*sqrt(pi)*erf(sqrt(10)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/32*sqrt(6)*sqrt(pi)*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1)) - 1/16*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^5*(i - 1))","B",0
93,1,113,0,3.604144," ","integrate(x^3/arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\sqrt{2} {\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{32 \, a^{4} {\left(i - 1\right)}} + \frac{\sqrt{\pi} i \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{8 \, a^{4} {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\sqrt{2} {\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{32 \, a^{4} {\left(i - 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{8 \, a^{4} {\left(i - 1\right)}}"," ",0,"1/32*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*(i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) + 1/8*sqrt(pi)*i*erf((i - 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 1/32*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1)) - 1/8*sqrt(pi)*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^4*(i - 1))","B",0
94,1,135,0,0.341779," ","integrate(x^2/arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{6} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{6} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{24 \, a^{3} {\left(i - 1\right)}} + \frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{8 \, a^{3} {\left(i - 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{24 \, a^{3} {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{8 \, a^{3} {\left(i - 1\right)}}"," ",0,"1/24*sqrt(6)*sqrt(pi)*i*erf(-sqrt(6)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) + 1/8*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 1/24*sqrt(6)*sqrt(pi)*erf(sqrt(6)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1)) - 1/8*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a^3*(i - 1))","B",0
95,1,51,0,2.589586," ","integrate(x/arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left({\left(i - 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{4 \, a^{2} {\left(i - 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-{\left(i + 1\right)} \sqrt{\arccos\left(a x\right)}\right)}{4 \, a^{2} {\left(i - 1\right)}}"," ",0,"1/4*sqrt(pi)*i*erf((i - 1)*sqrt(arccos(a*x)))/(a^2*(i - 1)) - 1/4*sqrt(pi)*erf(-(i + 1)*sqrt(arccos(a*x)))/(a^2*(i - 1))","B",0
96,1,68,0,3.159264," ","integrate(1/arccos(a*x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{2 \, a {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(a x\right)}}{i - 1}\right)}{2 \, a {\left(i - 1\right)}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1)) - 1/2*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(a*x))/(i - 1))/(a*(i - 1))","B",0
97,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\arccos\left(a x\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(arccos(a*x))), x)","F",0
98,0,0,0,0.000000," ","integrate(1/x^2/arccos(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x^{2} \sqrt{\arccos\left(a x\right)}}\,{d x}"," ",0,"integrate(1/(x^2*sqrt(arccos(a*x))), x)","F",0
99,0,0,0,0.000000," ","integrate(x^6/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{6}}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/arccos(a*x)^(3/2), x)","F",0
100,-2,0,0,0.000000," ","integrate(x^5/arccos(a*x)^(3/2),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
101,0,0,0,0.000000," ","integrate(x^4/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/arccos(a*x)^(3/2), x)","F",0
102,-2,0,0,0.000000," ","integrate(x^3/arccos(a*x)^(3/2),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
103,0,0,0,0.000000," ","integrate(x^2/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/arccos(a*x)^(3/2), x)","F",0
104,0,0,0,0.000000," ","integrate(x/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{x}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/arccos(a*x)^(3/2), x)","F",0
105,0,0,0,0.000000," ","integrate(1/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arccos(a*x)^(-3/2), x)","F",0
106,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^(3/2)), x)","F",0
107,0,0,0,0.000000," ","integrate(x^4/arccos(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arccos\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^4/arccos(a*x)^(5/2), x)","F",0
108,-2,0,0,0.000000," ","integrate(x^3/arccos(a*x)^(5/2),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
109,0,0,0,0.000000," ","integrate(x^2/arccos(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arccos\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/arccos(a*x)^(5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(x/arccos(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{x}{\arccos\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/arccos(a*x)^(5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(1/arccos(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\arccos\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arccos(a*x)^(-5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^(5/2)), x)","F",0
113,0,0,0,0.000000," ","integrate(x^4/arccos(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\arccos\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x^4/arccos(a*x)^(7/2), x)","F",0
114,-2,0,0,0.000000," ","integrate(x^3/arccos(a*x)^(7/2),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
115,0,0,0,0.000000," ","integrate(x^2/arccos(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\arccos\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x^2/arccos(a*x)^(7/2), x)","F",0
116,0,0,0,0.000000," ","integrate(x/arccos(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{x}{\arccos\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x/arccos(a*x)^(7/2), x)","F",0
117,0,0,0,0.000000," ","integrate(1/arccos(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\arccos\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arccos(a*x)^(-7/2), x)","F",0
118,0,0,0,0.000000," ","integrate(1/x/arccos(a*x)^(7/2),x, algorithm=""giac"")","\int \frac{1}{x \arccos\left(a x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(x*arccos(a*x)^(7/2)), x)","F",0
119,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^4,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)^{4}\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x)^4, x)","F",0
120,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^3,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)^{3}\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x)^3, x)","F",0
121,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^2,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)^{2}\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x)^2, x)","F",0
122,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x),x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x), x)","F",0
123,0,0,0,0.000000," ","integrate((b*x)^m/arccos(a*x),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\arccos\left(a x\right)}\,{d x}"," ",0,"integrate((b*x)^m/arccos(a*x), x)","F",0
124,0,0,0,0.000000," ","integrate((b*x)^m/arccos(a*x)^2,x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\arccos\left(a x\right)^{2}}\,{d x}"," ",0,"integrate((b*x)^m/arccos(a*x)^2, x)","F",0
125,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x)^(3/2), x)","F",0
126,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^(1/2),x, algorithm=""giac"")","\int \left(b x\right)^{m} \sqrt{\arccos\left(a x\right)}\,{d x}"," ",0,"integrate((b*x)^m*sqrt(arccos(a*x)), x)","F",0
127,0,0,0,0.000000," ","integrate((b*x)^m/arccos(a*x)^(1/2),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\sqrt{\arccos\left(a x\right)}}\,{d x}"," ",0,"integrate((b*x)^m/sqrt(arccos(a*x)), x)","F",0
128,0,0,0,0.000000," ","integrate((b*x)^m/arccos(a*x)^(3/2),x, algorithm=""giac"")","\int \frac{\left(b x\right)^{m}}{\arccos\left(a x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x)^m/arccos(a*x)^(3/2), x)","F",0
129,0,0,0,0.000000," ","integrate((b*x)^m*arccos(a*x)^n,x, algorithm=""giac"")","\int \left(b x\right)^{m} \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate((b*x)^m*arccos(a*x)^n, x)","F",0
130,0,0,0,0.000000," ","integrate(x^3*arccos(a*x)^n,x, algorithm=""giac"")","\int x^{3} \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x^3*arccos(a*x)^n, x)","F",0
131,0,0,0,0.000000," ","integrate(x^2*arccos(a*x)^n,x, algorithm=""giac"")","\int x^{2} \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x^2*arccos(a*x)^n, x)","F",0
132,0,0,0,0.000000," ","integrate(x*arccos(a*x)^n,x, algorithm=""giac"")","\int x \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate(x*arccos(a*x)^n, x)","F",0
133,0,0,0,0.000000," ","integrate(arccos(a*x)^n,x, algorithm=""giac"")","\int \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate(arccos(a*x)^n, x)","F",0
134,0,0,0,0.000000," ","integrate(arccos(a*x)^n/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{n}}{x}\,{d x}"," ",0,"integrate(arccos(a*x)^n/x, x)","F",0
135,0,0,0,0.000000," ","integrate(arccos(a*x)^n/x^2,x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{n}}{x^{2}}\,{d x}"," ",0,"integrate(arccos(a*x)^n/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate((b*x)^(3/2)*arccos(a*x)^n,x, algorithm=""giac"")","\int \left(b x\right)^{\frac{3}{2}} \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate((b*x)^(3/2)*arccos(a*x)^n, x)","F",0
137,0,0,0,0.000000," ","integrate(arccos(a*x)^n*(b*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{b x} \arccos\left(a x\right)^{n}\,{d x}"," ",0,"integrate(sqrt(b*x)*arccos(a*x)^n, x)","F",0
138,0,0,0,0.000000," ","integrate(arccos(a*x)^n/(b*x)^(1/2),x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{n}}{\sqrt{b x}}\,{d x}"," ",0,"integrate(arccos(a*x)^n/sqrt(b*x), x)","F",0
139,0,0,0,0.000000," ","integrate(arccos(a*x)^n/(b*x)^(3/2),x, algorithm=""giac"")","\int \frac{\arccos\left(a x\right)^{n}}{\left(b x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arccos(a*x)^n/(b*x)^(3/2), x)","F",0
140,1,67,0,0.171758," ","integrate(x^3*(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} \arccos\left(c x\right) + \frac{1}{4} \, a x^{4} - \frac{\sqrt{-c^{2} x^{2} + 1} b x^{3}}{16 \, c} - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b x}{32 \, c^{3}} - \frac{3 \, b \arccos\left(c x\right)}{32 \, c^{4}}"," ",0,"1/4*b*x^4*arccos(c*x) + 1/4*a*x^4 - 1/16*sqrt(-c^2*x^2 + 1)*b*x^3/c - 3/32*sqrt(-c^2*x^2 + 1)*b*x/c^3 - 3/32*b*arccos(c*x)/c^4","A",0
141,1,56,0,0.149534," ","integrate(x^2*(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} \arccos\left(c x\right) + \frac{1}{3} \, a x^{3} - \frac{\sqrt{-c^{2} x^{2} + 1} b x^{2}}{9 \, c} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b}{9 \, c^{3}}"," ",0,"1/3*b*x^3*arccos(c*x) + 1/3*a*x^3 - 1/9*sqrt(-c^2*x^2 + 1)*b*x^2/c - 2/9*sqrt(-c^2*x^2 + 1)*b/c^3","A",0
142,1,46,0,0.197015," ","integrate(x*(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \arccos\left(c x\right) + \frac{1}{2} \, a x^{2} - \frac{\sqrt{-c^{2} x^{2} + 1} b x}{4 \, c} - \frac{b \arccos\left(c x\right)}{4 \, c^{2}}"," ",0,"1/2*b*x^2*arccos(c*x) + 1/2*a*x^2 - 1/4*sqrt(-c^2*x^2 + 1)*b*x/c - 1/4*b*arccos(c*x)/c^2","A",0
143,1,31,0,0.182822," ","integrate(a+b*arccos(c*x),x, algorithm=""giac"")","a x + \frac{{\left(c x \arccos\left(c x\right) - \sqrt{-c^{2} x^{2} + 1}\right)} b}{c}"," ",0,"a*x + (c*x*arccos(c*x) - sqrt(-c^2*x^2 + 1))*b/c","A",0
144,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))/x,x, algorithm=""giac"")","\int \frac{b \arccos\left(c x\right) + a}{x}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)/x, x)","F",0
145,1,347,0,0.460452," ","integrate((a+b*arccos(c*x))/x^2,x, algorithm=""giac"")","-\frac{b c \arccos\left(c x\right)}{\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1} + \frac{b c \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1} - \frac{b c \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1} - \frac{a c}{\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1} + \frac{{\left(c^{2} x^{2} - 1\right)} b c \arccos\left(c x\right)}{{\left(c x + 1\right)}^{2} {\left(\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b c \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{{\left(c x + 1\right)}^{2} {\left(\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)} b c \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{{\left(c x + 1\right)}^{2} {\left(\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} a c}{{\left(c x + 1\right)}^{2} {\left(\frac{c^{2} x^{2} - 1}{{\left(c x + 1\right)}^{2}} + 1\right)}}"," ",0,"-b*c*arccos(c*x)/((c^2*x^2 - 1)/(c*x + 1)^2 + 1) + b*c*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/((c^2*x^2 - 1)/(c*x + 1)^2 + 1) - b*c*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/((c^2*x^2 - 1)/(c*x + 1)^2 + 1) - a*c/((c^2*x^2 - 1)/(c*x + 1)^2 + 1) + (c^2*x^2 - 1)*b*c*arccos(c*x)/((c*x + 1)^2*((c^2*x^2 - 1)/(c*x + 1)^2 + 1)) + (c^2*x^2 - 1)*b*c*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/((c*x + 1)^2*((c^2*x^2 - 1)/(c*x + 1)^2 + 1)) - (c^2*x^2 - 1)*b*c*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/((c*x + 1)^2*((c^2*x^2 - 1)/(c*x + 1)^2 + 1)) + (c^2*x^2 - 1)*a*c/((c*x + 1)^2*((c^2*x^2 - 1)/(c*x + 1)^2 + 1))","B",0
146,1,492,0,0.162137," ","integrate((a+b*arccos(c*x))/x^3,x, algorithm=""giac"")","-\frac{b c^{2} \arccos\left(c x\right)}{2 \, {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} - \frac{a c^{2}}{2 \, {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b c^{2} \arccos\left(c x\right)}{{\left(c x + 1\right)}^{2} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} + \frac{\sqrt{-c^{2} x^{2} + 1} b c^{2}}{{\left(c x + 1\right)} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} a c^{2}}{{\left(c x + 1\right)}^{2} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c^{2} \arccos\left(c x\right)}{2 \, {\left(c x + 1\right)}^{4} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} - \frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}} b c^{2}}{{\left(c x + 1\right)}^{3} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} a c^{2}}{2 \, {\left(c x + 1\right)}^{4} {\left(\frac{2 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + 1\right)}}"," ",0,"-1/2*b*c^2*arccos(c*x)/(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1) - 1/2*a*c^2/(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1) + (c^2*x^2 - 1)*b*c^2*arccos(c*x)/((c*x + 1)^2*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1)) + sqrt(-c^2*x^2 + 1)*b*c^2/((c*x + 1)*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1)) + (c^2*x^2 - 1)*a*c^2/((c*x + 1)^2*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1)) - 1/2*(c^2*x^2 - 1)^2*b*c^2*arccos(c*x)/((c*x + 1)^4*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1)) - (-c^2*x^2 + 1)^(3/2)*b*c^2/((c*x + 1)^3*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1)) - 1/2*(c^2*x^2 - 1)^2*a*c^2/((c*x + 1)^4*(2*(c^2*x^2 - 1)/(c*x + 1)^2 + (c^2*x^2 - 1)^2/(c*x + 1)^4 + 1))","B",0
147,1,1634,0,1.667670," ","integrate((a+b*arccos(c*x))/x^4,x, algorithm=""giac"")","-\frac{b c^{3} \arccos\left(c x\right)}{3 \, {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{b c^{3} \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{6 \, {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{b c^{3} \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{6 \, {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{a c^{3}}{3 \, {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b c^{3} \arccos\left(c x\right)}{{\left(c x + 1\right)}^{2} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} b c^{3} \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{2 \, {\left(c x + 1\right)}^{2} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)} b c^{3} \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{2 \, {\left(c x + 1\right)}^{2} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{\sqrt{-c^{2} x^{2} + 1} b c^{3}}{3 \, {\left(c x + 1\right)} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)} a c^{3}}{{\left(c x + 1\right)}^{2} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c^{3} \arccos\left(c x\right)}{{\left(c x + 1\right)}^{4} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c^{3} \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{2 \, {\left(c x + 1\right)}^{4} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} b c^{3} \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{2 \, {\left(c x + 1\right)}^{4} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} a c^{3}}{{\left(c x + 1\right)}^{4} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c^{3} \arccos\left(c x\right)}{3 \, {\left(c x + 1\right)}^{6} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c^{3} \log\left({\left| c x + \sqrt{-c^{2} x^{2} + 1} + 1 \right|}\right)}{6 \, {\left(c x + 1\right)}^{6} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{3} b c^{3} \log\left({\left| -c x + \sqrt{-c^{2} x^{2} + 1} - 1 \right|}\right)}{6 \, {\left(c x + 1\right)}^{6} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} - \frac{{\left(c^{2} x^{2} - 1\right)}^{2} \sqrt{-c^{2} x^{2} + 1} b c^{3}}{3 \, {\left(c x + 1\right)}^{5} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3} a c^{3}}{3 \, {\left(c x + 1\right)}^{6} {\left(\frac{3 \, {\left(c^{2} x^{2} - 1\right)}}{{\left(c x + 1\right)}^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 1\right)}^{2}}{{\left(c x + 1\right)}^{4}} + \frac{{\left(c^{2} x^{2} - 1\right)}^{3}}{{\left(c x + 1\right)}^{6}} + 1\right)}}"," ",0,"-1/3*b*c^3*arccos(c*x)/(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1) + 1/6*b*c^3*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1) - 1/6*b*c^3*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1) - 1/3*a*c^3/(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1) + (c^2*x^2 - 1)*b*c^3*arccos(c*x)/((c*x + 1)^2*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/2*(c^2*x^2 - 1)*b*c^3*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/((c*x + 1)^2*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - 1/2*(c^2*x^2 - 1)*b*c^3*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/((c*x + 1)^2*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/3*sqrt(-c^2*x^2 + 1)*b*c^3/((c*x + 1)*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + (c^2*x^2 - 1)*a*c^3/((c*x + 1)^2*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - (c^2*x^2 - 1)^2*b*c^3*arccos(c*x)/((c*x + 1)^4*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/2*(c^2*x^2 - 1)^2*b*c^3*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/((c*x + 1)^4*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - 1/2*(c^2*x^2 - 1)^2*b*c^3*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/((c*x + 1)^4*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - (c^2*x^2 - 1)^2*a*c^3/((c*x + 1)^4*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/3*(c^2*x^2 - 1)^3*b*c^3*arccos(c*x)/((c*x + 1)^6*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/6*(c^2*x^2 - 1)^3*b*c^3*log(abs(c*x + sqrt(-c^2*x^2 + 1) + 1))/((c*x + 1)^6*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - 1/6*(c^2*x^2 - 1)^3*b*c^3*log(abs(-c*x + sqrt(-c^2*x^2 + 1) - 1))/((c*x + 1)^6*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) - 1/3*(c^2*x^2 - 1)^2*sqrt(-c^2*x^2 + 1)*b*c^3/((c*x + 1)^5*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1)) + 1/3*(c^2*x^2 - 1)^3*a*c^3/((c*x + 1)^6*(3*(c^2*x^2 - 1)/(c*x + 1)^2 + 3*(c^2*x^2 - 1)^2/(c*x + 1)^4 + (c^2*x^2 - 1)^3/(c*x + 1)^6 + 1))","B",0
148,1,143,0,2.244892," ","integrate(x^2*(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} x^{3} \arccos\left(c x\right)^{2} + \frac{2}{3} \, a b x^{3} \arccos\left(c x\right) + \frac{1}{3} \, a^{2} x^{3} - \frac{2}{27} \, b^{2} x^{3} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} x^{2} \arccos\left(c x\right)}{9 \, c} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b x^{2}}{9 \, c} - \frac{4 \, b^{2} x}{9 \, c^{2}} - \frac{4 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arccos\left(c x\right)}{9 \, c^{3}} - \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b}{9 \, c^{3}}"," ",0,"1/3*b^2*x^3*arccos(c*x)^2 + 2/3*a*b*x^3*arccos(c*x) + 1/3*a^2*x^3 - 2/27*b^2*x^3 - 2/9*sqrt(-c^2*x^2 + 1)*b^2*x^2*arccos(c*x)/c - 2/9*sqrt(-c^2*x^2 + 1)*a*b*x^2/c - 4/9*b^2*x/c^2 - 4/9*sqrt(-c^2*x^2 + 1)*b^2*arccos(c*x)/c^3 - 4/9*sqrt(-c^2*x^2 + 1)*a*b/c^3","A",0
149,1,119,0,2.040213," ","integrate(x*(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} x^{2} \arccos\left(c x\right)^{2} + a b x^{2} \arccos\left(c x\right) + \frac{1}{2} \, a^{2} x^{2} - \frac{1}{4} \, b^{2} x^{2} - \frac{\sqrt{-c^{2} x^{2} + 1} b^{2} x \arccos\left(c x\right)}{2 \, c} - \frac{\sqrt{-c^{2} x^{2} + 1} a b x}{2 \, c} - \frac{b^{2} \arccos\left(c x\right)^{2}}{4 \, c^{2}} - \frac{a b \arccos\left(c x\right)}{2 \, c^{2}} + \frac{b^{2}}{8 \, c^{2}}"," ",0,"1/2*b^2*x^2*arccos(c*x)^2 + a*b*x^2*arccos(c*x) + 1/2*a^2*x^2 - 1/4*b^2*x^2 - 1/2*sqrt(-c^2*x^2 + 1)*b^2*x*arccos(c*x)/c - 1/2*sqrt(-c^2*x^2 + 1)*a*b*x/c - 1/4*b^2*arccos(c*x)^2/c^2 - 1/2*a*b*arccos(c*x)/c^2 + 1/8*b^2/c^2","A",0
150,1,75,0,0.190381," ","integrate((a+b*arccos(c*x))^2,x, algorithm=""giac"")","b^{2} x \arccos\left(c x\right)^{2} + 2 \, a b x \arccos\left(c x\right) + a^{2} x - 2 \, b^{2} x - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{2} \arccos\left(c x\right)}{c} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b}{c}"," ",0,"b^2*x*arccos(c*x)^2 + 2*a*b*x*arccos(c*x) + a^2*x - 2*b^2*x - 2*sqrt(-c^2*x^2 + 1)*b^2*arccos(c*x)/c - 2*sqrt(-c^2*x^2 + 1)*a*b/c","A",0
151,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2/x, x)","F",0
152,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2/x^2, x)","F",0
153,1,289,0,3.982054," ","integrate(x^2*(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\frac{1}{3} \, b^{3} x^{3} \arccos\left(c x\right)^{3} + a b^{2} x^{3} \arccos\left(c x\right)^{2} + a^{2} b x^{3} \arccos\left(c x\right) - \frac{2}{9} \, b^{3} x^{3} \arccos\left(c x\right) - \frac{\sqrt{-c^{2} x^{2} + 1} b^{3} x^{2} \arccos\left(c x\right)^{2}}{3 \, c} + \frac{1}{3} \, a^{3} x^{3} - \frac{2}{9} \, a b^{2} x^{3} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} x^{2} \arccos\left(c x\right)}{3 \, c} - \frac{\sqrt{-c^{2} x^{2} + 1} a^{2} b x^{2}}{3 \, c} + \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{3} x^{2}}{27 \, c} - \frac{4 \, b^{3} x \arccos\left(c x\right)}{3 \, c^{2}} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} b^{3} \arccos\left(c x\right)^{2}}{3 \, c^{3}} - \frac{4 \, a b^{2} x}{3 \, c^{2}} - \frac{4 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} \arccos\left(c x\right)}{3 \, c^{3}} - \frac{2 \, \sqrt{-c^{2} x^{2} + 1} a^{2} b}{3 \, c^{3}} + \frac{40 \, \sqrt{-c^{2} x^{2} + 1} b^{3}}{27 \, c^{3}}"," ",0,"1/3*b^3*x^3*arccos(c*x)^3 + a*b^2*x^3*arccos(c*x)^2 + a^2*b*x^3*arccos(c*x) - 2/9*b^3*x^3*arccos(c*x) - 1/3*sqrt(-c^2*x^2 + 1)*b^3*x^2*arccos(c*x)^2/c + 1/3*a^3*x^3 - 2/9*a*b^2*x^3 - 2/3*sqrt(-c^2*x^2 + 1)*a*b^2*x^2*arccos(c*x)/c - 1/3*sqrt(-c^2*x^2 + 1)*a^2*b*x^2/c + 2/27*sqrt(-c^2*x^2 + 1)*b^3*x^2/c - 4/3*b^3*x*arccos(c*x)/c^2 - 2/3*sqrt(-c^2*x^2 + 1)*b^3*arccos(c*x)^2/c^3 - 4/3*a*b^2*x/c^2 - 4/3*sqrt(-c^2*x^2 + 1)*a*b^2*arccos(c*x)/c^3 - 2/3*sqrt(-c^2*x^2 + 1)*a^2*b/c^3 + 40/27*sqrt(-c^2*x^2 + 1)*b^3/c^3","A",0
154,1,231,0,0.216950," ","integrate(x*(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} x^{2} \arccos\left(c x\right)^{3} + \frac{3}{2} \, a b^{2} x^{2} \arccos\left(c x\right)^{2} + \frac{3}{2} \, a^{2} b x^{2} \arccos\left(c x\right) - \frac{3}{4} \, b^{3} x^{2} \arccos\left(c x\right) - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} x \arccos\left(c x\right)^{2}}{4 \, c} + \frac{1}{2} \, a^{3} x^{2} - \frac{3}{4} \, a b^{2} x^{2} - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} x \arccos\left(c x\right)}{2 \, c} - \frac{b^{3} \arccos\left(c x\right)^{3}}{4 \, c^{2}} - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a^{2} b x}{4 \, c} + \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} x}{8 \, c} - \frac{3 \, a b^{2} \arccos\left(c x\right)^{2}}{4 \, c^{2}} - \frac{3 \, a^{2} b \arccos\left(c x\right)}{4 \, c^{2}} + \frac{3 \, b^{3} \arccos\left(c x\right)}{8 \, c^{2}} + \frac{3 \, a b^{2}}{8 \, c^{2}}"," ",0,"1/2*b^3*x^2*arccos(c*x)^3 + 3/2*a*b^2*x^2*arccos(c*x)^2 + 3/2*a^2*b*x^2*arccos(c*x) - 3/4*b^3*x^2*arccos(c*x) - 3/4*sqrt(-c^2*x^2 + 1)*b^3*x*arccos(c*x)^2/c + 1/2*a^3*x^2 - 3/4*a*b^2*x^2 - 3/2*sqrt(-c^2*x^2 + 1)*a*b^2*x*arccos(c*x)/c - 1/4*b^3*arccos(c*x)^3/c^2 - 3/4*sqrt(-c^2*x^2 + 1)*a^2*b*x/c + 3/8*sqrt(-c^2*x^2 + 1)*b^3*x/c - 3/4*a*b^2*arccos(c*x)^2/c^2 - 3/4*a^2*b*arccos(c*x)/c^2 + 3/8*b^3*arccos(c*x)/c^2 + 3/8*a*b^2/c^2","B",0
155,1,150,0,0.188904," ","integrate((a+b*arccos(c*x))^3,x, algorithm=""giac"")","b^{3} x \arccos\left(c x\right)^{3} + 3 \, a b^{2} x \arccos\left(c x\right)^{2} + 3 \, a^{2} b x \arccos\left(c x\right) - 6 \, b^{3} x \arccos\left(c x\right) - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} b^{3} \arccos\left(c x\right)^{2}}{c} + a^{3} x - 6 \, a b^{2} x - \frac{6 \, \sqrt{-c^{2} x^{2} + 1} a b^{2} \arccos\left(c x\right)}{c} - \frac{3 \, \sqrt{-c^{2} x^{2} + 1} a^{2} b}{c} + \frac{6 \, \sqrt{-c^{2} x^{2} + 1} b^{3}}{c}"," ",0,"b^3*x*arccos(c*x)^3 + 3*a*b^2*x*arccos(c*x)^2 + 3*a^2*b*x*arccos(c*x) - 6*b^3*x*arccos(c*x) - 3*sqrt(-c^2*x^2 + 1)*b^3*arccos(c*x)^2/c + a^3*x - 6*a*b^2*x - 6*sqrt(-c^2*x^2 + 1)*a*b^2*arccos(c*x)/c - 3*sqrt(-c^2*x^2 + 1)*a^2*b/c + 6*sqrt(-c^2*x^2 + 1)*b^3/c","A",0
156,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^3/x, x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^3/x^2, x)","F",0
158,1,172,0,0.202447," ","integrate(x^2/(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{3}} - \frac{\cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b c^{3}} - \frac{\operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{3}} + \frac{\operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, b c^{3}} + \frac{3 \, \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, b c^{3}} - \frac{\cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, b c^{3}}"," ",0,"cos(a/b)^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b*c^3) - cos(a/b)^3*sin_integral(3*a/b + 3*arccos(c*x))/(b*c^3) - 1/4*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b*c^3) + 1/4*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b*c^3) + 3/4*cos(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b*c^3) - 1/4*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b*c^3)","A",0
159,1,86,0,0.192506," ","integrate(x/(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{\cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c^{2}} - \frac{\cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b c^{2}} + \frac{\operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{2 \, b c^{2}}"," ",0,"cos(a/b)*cos_integral(2*a/b + 2*arccos(c*x))*sin(a/b)/(b*c^2) - cos(a/b)^2*sin_integral(2*a/b + 2*arccos(c*x))/(b*c^2) + 1/2*sin_integral(2*a/b + 2*arccos(c*x))/(b*c^2)","A",0
160,1,50,0,0.179769," ","integrate(1/(a+b*arccos(c*x)),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b c} - \frac{\cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b c}"," ",0,"cos_integral(a/b + arccos(c*x))*sin(a/b)/(b*c) - cos(a/b)*sin_integral(a/b + arccos(c*x))/(b*c)","A",0
161,-2,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Not invertible Error: Bad Argument Value","F(-2)",0
162,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)*x^2), x)","F",0
163,1,615,0,0.226641," ","integrate(x^2/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","-\frac{3 \, b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}} - \frac{3 \, b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b c^{2} x^{2}}{b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}} - \frac{3 \, a \cos\left(\frac{a}{b}\right)^{3} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}} - \frac{3 \, a \cos\left(\frac{a}{b}\right)^{2} \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}} + \frac{9 \, b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{3 \, b \arccos\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{b \arccos\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{9 \, a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} + \frac{3 \, a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}} - \frac{a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, {\left(b^{3} c^{3} \arccos\left(c x\right) + a b^{2} c^{3}\right)}}"," ",0,"-3*b*arccos(c*x)*cos(a/b)^3*cos_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 3*b*arccos(c*x)*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) + sqrt(-c^2*x^2 + 1)*b*c^2*x^2/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 3*a*cos(a/b)^3*cos_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 3*a*cos(a/b)^2*sin(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) + 9/4*b*arccos(c*x)*cos(a/b)*cos_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 1/4*b*arccos(c*x)*cos(a/b)*cos_integral(a/b + arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) + 3/4*b*arccos(c*x)*sin(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 1/4*b*arccos(c*x)*sin(a/b)*sin_integral(a/b + arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) + 9/4*a*cos(a/b)*cos_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 1/4*a*cos(a/b)*cos_integral(a/b + arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) + 3/4*a*sin(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3) - 1/4*a*sin(a/b)*sin_integral(a/b + arccos(c*x))/(b^3*c^3*arccos(c*x) + a*b^2*c^3)","B",0
164,1,323,0,0.224952," ","integrate(x/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","-\frac{2 \, b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} - \frac{2 \, b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} - \frac{2 \, a \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} - \frac{2 \, a \cos\left(\frac{a}{b}\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b c x}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} + \frac{b \arccos\left(c x\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}} + \frac{a \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{3} c^{2} \arccos\left(c x\right) + a b^{2} c^{2}}"," ",0,"-2*b*arccos(c*x)*cos(a/b)^2*cos_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2) - 2*b*arccos(c*x)*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2) - 2*a*cos(a/b)^2*cos_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2) - 2*a*cos(a/b)*sin(a/b)*sin_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2) + sqrt(-c^2*x^2 + 1)*b*c*x/(b^3*c^2*arccos(c*x) + a*b^2*c^2) + b*arccos(c*x)*cos_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2) + a*cos_integral(2*a/b + 2*arccos(c*x))/(b^3*c^2*arccos(c*x) + a*b^2*c^2)","B",0
165,1,193,0,0.190808," ","integrate(1/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","-\frac{b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b^{3} c \arccos\left(c x\right) + a b^{2} c} - \frac{b \arccos\left(c x\right) \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b^{3} c \arccos\left(c x\right) + a b^{2} c} - \frac{a \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b^{3} c \arccos\left(c x\right) + a b^{2} c} - \frac{a \sin\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b^{3} c \arccos\left(c x\right) + a b^{2} c} + \frac{\sqrt{-c^{2} x^{2} + 1} b}{b^{3} c \arccos\left(c x\right) + a b^{2} c}"," ",0,"-b*arccos(c*x)*cos(a/b)*cos_integral(a/b + arccos(c*x))/(b^3*c*arccos(c*x) + a*b^2*c) - b*arccos(c*x)*sin(a/b)*sin_integral(a/b + arccos(c*x))/(b^3*c*arccos(c*x) + a*b^2*c) - a*cos(a/b)*cos_integral(a/b + arccos(c*x))/(b^3*c*arccos(c*x) + a*b^2*c) - a*sin(a/b)*sin_integral(a/b + arccos(c*x))/(b^3*c*arccos(c*x) + a*b^2*c) + sqrt(-c^2*x^2 + 1)*b/(b^3*c*arccos(c*x) + a*b^2*c)","B",0
166,0,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^2*x), x)","F",0
167,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^2*x^2), x)","F",0
168,1,1479,0,1.144187," ","integrate(x^2/(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\frac{3 \, b^{2} c^{3} x^{3} \arccos\left(c x\right)}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{3 \, a b c^{3} x^{3}}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{9 \, a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{\sqrt{-c^{2} x^{2} + 1} b^{2} c^{2} x^{2}}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, b^{2} \arccos\left(c x\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{9 \, a^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{b^{2} \arccos\left(c x\right)^{2} \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{9 \, a^{2} \cos\left(\frac{a}{b}\right)^{3} \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{2 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{b^{2} c x \arccos\left(c x\right)}{b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{9 \, a b \arccos\left(c x\right) \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a b \arccos\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{4 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{4 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a b c x}{b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}} + \frac{9 \, a^{2} \operatorname{Ci}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{a^{2} \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} - \frac{27 \, a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{3 \, a}{b} + 3 \, \arccos\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}} + \frac{a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{8 \, {\left(b^{5} c^{3} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{3} \arccos\left(c x\right) + a^{2} b^{3} c^{3}\right)}}"," ",0,"3/2*b^2*c^3*x^3*arccos(c*x)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 3/2*a*b*c^3*x^3/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 9/2*b^2*arccos(c*x)^2*cos(a/b)^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9/2*b^2*arccos(c*x)^2*cos(a/b)^3*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 9*a*b*arccos(c*x)*cos(a/b)^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9*a*b*arccos(c*x)*cos(a/b)^3*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 1/2*sqrt(-c^2*x^2 + 1)*b^2*c^2*x^2/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9/8*b^2*arccos(c*x)^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 9/2*a^2*cos(a/b)^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 1/8*b^2*arccos(c*x)^2*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 27/8*b^2*arccos(c*x)^2*cos(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9/2*a^2*cos(a/b)^3*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 1/8*b^2*arccos(c*x)^2*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - b^2*c*x*arccos(c*x)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9/4*a*b*arccos(c*x)*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 1/4*a*b*arccos(c*x)*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 27/4*a*b*arccos(c*x)*cos(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 1/4*a*b*arccos(c*x)*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - a*b*c*x/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 9/8*a^2*cos_integral(3*a/b + 3*arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 1/8*a^2*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) - 27/8*a^2*cos(a/b)*sin_integral(3*a/b + 3*arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3) + 1/8*a^2*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c^3*arccos(c*x)^2 + 2*a*b^4*c^3*arccos(c*x) + a^2*b^3*c^3)","B",0
169,1,860,0,1.769693," ","integrate(x/(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\frac{b^{2} c^{2} x^{2} \arccos\left(c x\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{2 \, b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{2 \, b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{a b c^{2} x^{2}}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{4 \, a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{4 \, a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{2 \, a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Ci}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{b^{2} \arccos\left(c x\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{2 \, a^{2} \cos\left(\frac{a}{b}\right)^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} + \frac{\sqrt{-c^{2} x^{2} + 1} b^{2} c x}{2 \, {\left(b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}\right)}} - \frac{2 \, a b \arccos\left(c x\right) \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{b^{2} \arccos\left(c x\right)}{2 \, {\left(b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}\right)}} - \frac{a^{2} \operatorname{Si}\left(\frac{2 \, a}{b} + 2 \, \arccos\left(c x\right)\right)}{b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}} - \frac{a b}{2 \, {\left(b^{5} c^{2} \arccos\left(c x\right)^{2} + 2 \, a b^{4} c^{2} \arccos\left(c x\right) + a^{2} b^{3} c^{2}\right)}}"," ",0,"b^2*c^2*x^2*arccos(c*x)/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 2*b^2*arccos(c*x)^2*cos(a/b)*cos_integral(2*a/b + 2*arccos(c*x))*sin(a/b)/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) + 2*b^2*arccos(c*x)^2*cos(a/b)^2*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) + a*b*c^2*x^2/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 4*a*b*arccos(c*x)*cos(a/b)*cos_integral(2*a/b + 2*arccos(c*x))*sin(a/b)/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) + 4*a*b*arccos(c*x)*cos(a/b)^2*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 2*a^2*cos(a/b)*cos_integral(2*a/b + 2*arccos(c*x))*sin(a/b)/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - b^2*arccos(c*x)^2*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) + 2*a^2*cos(a/b)^2*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) + 1/2*sqrt(-c^2*x^2 + 1)*b^2*c*x/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 2*a*b*arccos(c*x)*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 1/2*b^2*arccos(c*x)/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - a^2*sin_integral(2*a/b + 2*arccos(c*x))/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2) - 1/2*a*b/(b^5*c^2*arccos(c*x)^2 + 2*a*b^4*c^2*arccos(c*x) + a^2*b^3*c^2)","B",0
170,1,481,0,1.887157," ","integrate(1/(a+b*arccos(c*x))^3,x, algorithm=""giac"")","-\frac{b^{2} \arccos\left(c x\right)^{2} \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} + \frac{b^{2} \arccos\left(c x\right)^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} + \frac{b^{2} c x \arccos\left(c x\right)}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{a b \arccos\left(c x\right) \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c} + \frac{a b \arccos\left(c x\right) \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c} + \frac{a b c x}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} - \frac{a^{2} \operatorname{Ci}\left(\frac{a}{b} + \arccos\left(c x\right)\right) \sin\left(\frac{a}{b}\right)}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} + \frac{a^{2} \cos\left(\frac{a}{b}\right) \operatorname{Si}\left(\frac{a}{b} + \arccos\left(c x\right)\right)}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}} + \frac{\sqrt{-c^{2} x^{2} + 1} b^{2}}{2 \, {\left(b^{5} c \arccos\left(c x\right)^{2} + 2 \, a b^{4} c \arccos\left(c x\right) + a^{2} b^{3} c\right)}}"," ",0,"-1/2*b^2*arccos(c*x)^2*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + 1/2*b^2*arccos(c*x)^2*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + 1/2*b^2*c*x*arccos(c*x)/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) - a*b*arccos(c*x)*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + a*b*arccos(c*x)*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + 1/2*a*b*c*x/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) - 1/2*a^2*cos_integral(a/b + arccos(c*x))*sin(a/b)/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + 1/2*a^2*cos(a/b)*sin_integral(a/b + arccos(c*x))/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c) + 1/2*sqrt(-c^2*x^2 + 1)*b^2/(b^5*c*arccos(c*x)^2 + 2*a*b^4*c*arccos(c*x) + a^2*b^3*c)","B",0
171,0,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{3} x}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^3*x), x)","F",0
172,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^3*x^2), x)","F",0
173,1,1095,0,4.433082," ","integrate(x^2*(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} a b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a \sqrt{b} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} + \sqrt{6} b\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a \sqrt{b} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} - \sqrt{6} b\right)} c^{3}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{3}{2}} i}{{\left| b \right|}} + \sqrt{6} \sqrt{b}\right)} c^{3}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{3}{2}} i}{{\left| b \right|}} - \sqrt{6} \sqrt{b}\right)} c^{3}} + \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{24 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} + \sqrt{6} b\right)} c^{3}} - \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{24 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} - \sqrt{6} b\right)} c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*a*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/8*sqrt(2)*sqrt(pi)*a*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a*sqrt(b)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^2*i/abs(b) + sqrt(6)*b)*c^3) + 1/16*sqrt(2)*sqrt(pi)*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/16*sqrt(2)*sqrt(pi)*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a*sqrt(b)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^2*i/abs(b) - sqrt(6)*b)*c^3) + 1/4*sqrt(pi)*a*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(3/2)*i/abs(b) + sqrt(6)*sqrt(b))*c^3) + 1/4*sqrt(pi)*a*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(3/2)*i/abs(b) - sqrt(6)*sqrt(b))*c^3) + 1/24*sqrt(pi)*b^(3/2)*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^2*i/abs(b) + sqrt(6)*b)*c^3) - 1/24*sqrt(pi)*b^(3/2)*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^2*i/abs(b) - sqrt(6)*b)*c^3) + 1/24*sqrt(b*arccos(c*x) + a)*e^(3*i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*e^(i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*e^(-i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*e^(-3*i*arccos(c*x))/c^3","B",0
174,1,469,0,1.154462," ","integrate(x*(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} a \sqrt{b} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} - \frac{\sqrt{\pi} a \sqrt{b} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{{\left| b \right|}} - b\right)} c^{2}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{\frac{3}{2}} i}{{\left| b \right|}} - \sqrt{b}\right)} c^{2}} + \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, \sqrt{b} c^{2} {\left(\frac{b i}{{\left| b \right|}} + 1\right)}} - \frac{\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{{\left| b \right|}} - b\right)} c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}}"," ",0,"-1/4*sqrt(pi)*a*sqrt(b)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) - 1/4*sqrt(pi)*a*sqrt(b)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^2*i/abs(b) - b)*c^2) + 1/4*sqrt(pi)*a*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(3/2)*i/abs(b) - sqrt(b))*c^2) + 1/16*sqrt(pi)*b^(3/2)*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) + 1/4*sqrt(pi)*a*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/(sqrt(b)*c^2*(b*i/abs(b) + 1)) - 1/16*sqrt(pi)*b^(3/2)*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^2*i/abs(b) - b)*c^2) + 1/8*sqrt(b*arccos(c*x) + a)*e^(2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*e^(-2*i*arccos(c*x))/c^2","B",0
175,1,546,0,0.790970," ","integrate((a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} a b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(i \arccos\left(c x\right)\right)}}{2 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} e^{\left(-i \arccos\left(c x\right)\right)}}{2 \, c}"," ",0,"-1/2*sqrt(2)*sqrt(pi)*a*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 1/2*sqrt(2)*sqrt(pi)*a*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + 1/4*sqrt(2)*sqrt(pi)*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 1/4*sqrt(2)*sqrt(pi)*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + sqrt(pi)*a*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*c) + sqrt(pi)*a*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*c) + 1/2*sqrt(b*arccos(c*x) + a)*e^(i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*e^(-i*arccos(c*x))/c","B",0
176,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{b \arccos\left(c x\right) + a}}{x}\,{d x}"," ",0,"integrate(sqrt(b*arccos(c*x) + a)/x, x)","F",0
177,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{b \arccos\left(c x\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*arccos(c*x) + a)/x^2, x)","F",0
178,1,2037,0,3.441205," ","integrate(x^2*(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} + \sqrt{6} b^{2}\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{32 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{32 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} - \sqrt{6} b^{2}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} + \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} - \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} - \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{12 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} + \sqrt{6} b^{2}\right)} c^{3}} - \frac{\sqrt{\pi} b^{\frac{5}{2}} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{48 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} + \sqrt{6} b\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{12 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} - \sqrt{6} b^{2}\right)} c^{3}} - \frac{\sqrt{\pi} b^{\frac{5}{2}} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{48 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} - \sqrt{6} b\right)} c^{3}} - \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{12 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} + \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{12 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} - \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b i e^{\left(3 \, i \arccos\left(c x\right)\right)}}{48 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} + \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(-i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{\sqrt{b \arccos\left(c x\right) + a} b i e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{48 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*a^2*b^2*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 1/8*sqrt(2)*sqrt(pi)*a^2*b^2*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b^(3/2)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^3*i/abs(b) + sqrt(6)*b^2)*c^3) + 1/8*sqrt(2)*sqrt(pi)*a*b^3*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 3/32*sqrt(2)*sqrt(pi)*b^3*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 1/8*sqrt(2)*sqrt(pi)*a*b^3*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c^3) - 3/32*sqrt(2)*sqrt(pi)*b^3*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b^(3/2)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^3*i/abs(b) - sqrt(6)*b^2)*c^3) + 1/4*sqrt(pi)*a^2*b*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) + sqrt(6)*b^(3/2))*c^3) + 1/4*sqrt(pi)*a^2*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^2*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) - sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^2*b*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) - sqrt(6)*b^(3/2))*c^3) + 1/12*sqrt(pi)*a*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^3*i/abs(b) + sqrt(6)*b^2)*c^3) - 1/48*sqrt(pi)*b^(5/2)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^2*i/abs(b) + sqrt(6)*b)*c^3) - 1/8*sqrt(2)*sqrt(pi)*a*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 1/8*sqrt(2)*sqrt(pi)*a*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) - 1/12*sqrt(pi)*a*b^(5/2)*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^3*i/abs(b) - sqrt(6)*b^2)*c^3) - 1/48*sqrt(pi)*b^(5/2)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^2*i/abs(b) - sqrt(6)*b)*c^3) - 1/12*sqrt(pi)*a*b^2*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) + sqrt(6)*b^(3/2))*c^3) + 1/12*sqrt(pi)*a*b^2*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) - sqrt(6)*b^(3/2))*c^3) + 1/48*sqrt(b*arccos(c*x) + a)*b*i*e^(3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(3*i*arccos(c*x))/c^3 + 3/16*sqrt(b*arccos(c*x) + a)*b*i*e^(i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(i*arccos(c*x))/c^3 - 3/16*sqrt(b*arccos(c*x) + a)*b*i*e^(-i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(-i*arccos(c*x))/c^3 - 1/48*sqrt(b*arccos(c*x) + a)*b*i*e^(-3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(-3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*a*e^(3*i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*a*e^(i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*a*e^(-i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*a*e^(-3*i*arccos(c*x))/c^3","B",0
179,1,884,0,5.415966," ","integrate(x*(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{3} i}{{\left| b \right|}} + b^{2}\right)} c^{2}} - \frac{\sqrt{\pi} a^{2} b^{\frac{3}{2}} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{3} i}{{\left| b \right|}} - b^{2}\right)} c^{2}} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} - b^{\frac{3}{2}}\right)} c^{2}} + \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{{\left| b \right|}} + b^{2}\right)} c^{2}} + \frac{\sqrt{\pi} a^{2} \sqrt{b} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} - \frac{3 \, \sqrt{\pi} b^{\frac{5}{2}} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{{\left| b \right|}} - b^{2}\right)} c^{2}} - \frac{3 \, \sqrt{\pi} b^{\frac{5}{2}} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{{\left| b \right|}} - b\right)} c^{2}} - \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} + b^{\frac{3}{2}}\right)} c^{2}} + \frac{\sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} - b^{\frac{3}{2}}\right)} c^{2}} + \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} - \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}}"," ",0,"-1/4*sqrt(pi)*a^2*b^(3/2)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^3*i/abs(b) + b^2)*c^2) - 1/4*sqrt(pi)*a^2*b^(3/2)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^3*i/abs(b) - b^2)*c^2) + 1/4*sqrt(pi)*a^2*b*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(5/2)*i/abs(b) - b^(3/2))*c^2) + 1/8*sqrt(pi)*a*b^(5/2)*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^3*i/abs(b) + b^2)*c^2) + 1/4*sqrt(pi)*a^2*sqrt(b)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) - 3/64*sqrt(pi)*b^(5/2)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) - 1/8*sqrt(pi)*a*b^(5/2)*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^3*i/abs(b) - b^2)*c^2) - 3/64*sqrt(pi)*b^(5/2)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^2*i/abs(b) - b)*c^2) - 1/8*sqrt(pi)*a*b^2*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^(5/2)*i/abs(b) + b^(3/2))*c^2) + 1/8*sqrt(pi)*a*b^2*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(5/2)*i/abs(b) - b^(3/2))*c^2) + 3/32*sqrt(b*arccos(c*x) + a)*b*i*e^(2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(2*i*arccos(c*x))/c^2 - 3/32*sqrt(b*arccos(c*x) + a)*b*i*e^(-2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(-2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*a*e^(2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*a*e^(-2*i*arccos(c*x))/c^2","B",0
180,1,1022,0,3.976151," ","integrate((a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} a^{2} b^{2} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} a b^{3} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{3 \, \sqrt{2} \sqrt{\pi} b^{3} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a^{2} b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} - \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{2} \sqrt{\pi} a b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{2 \, c} - \frac{3 \, \sqrt{b \arccos\left(c x\right) + a} b i e^{\left(-i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} b \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{2 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(i \arccos\left(c x\right)\right)}}{2 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a e^{\left(-i \arccos\left(c x\right)\right)}}{2 \, c}"," ",0,"-1/2*sqrt(2)*sqrt(pi)*a^2*b^2*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 1/2*sqrt(2)*sqrt(pi)*a^2*b^2*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c) + 1/2*sqrt(2)*sqrt(pi)*a*b^3*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 3/8*sqrt(2)*sqrt(pi)*b^3*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 1/2*sqrt(2)*sqrt(pi)*a*b^3*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c) - 3/8*sqrt(2)*sqrt(pi)*b^3*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + sqrt(pi)*a^2*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) + sqrt(pi)*a^2*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) - sqrt(2)*b*sqrt(abs(b)))*c) - 1/2*sqrt(2)*sqrt(pi)*a*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 1/2*sqrt(2)*sqrt(pi)*a*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + 3/4*sqrt(b*arccos(c*x) + a)*b*i*e^(i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(i*arccos(c*x))/c - 3/4*sqrt(b*arccos(c*x) + a)*b*i*e^(-i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*b*arccos(c*x)*e^(-i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*a*e^(i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*a*e^(-i*arccos(c*x))/c","B",0
181,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(3/2)/x,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(3/2)/x, x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(3/2)/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(3/2)/x^2, x)","F",0
183,1,2760,0,5.424358," ","integrate(x^2*(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{4} i}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{4} i}{\sqrt{{\left| b \right|}}} - b^{3} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} + \sqrt{6} b^{2}\right)} c^{3}} + \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} - \sqrt{6} b^{2}\right)} c^{3}} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} + \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{3} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{16 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} + \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} - \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} - \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a b^{3} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{16 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} - \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} + \sqrt{6} b^{2}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{16 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} + \sqrt{6} b\right)} c^{3}} - \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{15 \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{8 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{15 \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c^{3}} - \frac{\sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{3} i}{{\left| b \right|}} - \sqrt{6} b^{2}\right)} c^{3}} - \frac{\sqrt{\pi} a b^{\frac{5}{2}} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{16 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} - \sqrt{6} b\right)} c^{3}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(3 \, i \arccos\left(c x\right)\right)}}{144 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{144 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} - \frac{\sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} + \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} + \frac{\sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{5}{2}} i}{{\left| b \right|}} - \sqrt{6} b^{\frac{3}{2}}\right)} c^{3}} - \frac{5 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{288 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} + \sqrt{6} b\right)} c^{3}} + \frac{5 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{288 \, {\left(\frac{\sqrt{6} b^{2} i}{{\left| b \right|}} - \sqrt{6} b\right)} c^{3}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(3 \, i \arccos\left(c x\right)\right)}}{144 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(3 \, i \arccos\left(c x\right)\right)}}{12 \, c^{3}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{4 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(-i \arccos\left(c x\right)\right)}}{16 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{4 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{144 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{12 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(3 \, i \arccos\left(c x\right)\right)}}{288 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(i \arccos\left(c x\right)\right)}}{32 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c^{3}} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{32 \, c^{3}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{24 \, c^{3}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(-3 \, i \arccos\left(c x\right)\right)}}{288 \, c^{3}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*a^3*b^3*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^4*i/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c^3) - 1/8*sqrt(2)*sqrt(pi)*a^3*b^3*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^4*i/sqrt(abs(b)) - b^3*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^3*b^(3/2)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^3*i/abs(b) + sqrt(6)*b^2)*c^3) + 3/8*sqrt(2)*sqrt(pi)*a^2*b^3*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c^3) - 3/8*sqrt(2)*sqrt(pi)*a^2*b^3*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^3*b^(3/2)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^3*i/abs(b) - sqrt(6)*b^2)*c^3) + 1/4*sqrt(pi)*a^3*b*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) + sqrt(6)*b^(3/2))*c^3) + 1/16*sqrt(pi)*a*b^3*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) + sqrt(6)*b^(3/2))*c^3) + 1/4*sqrt(pi)*a^3*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^3*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) - sqrt(2)*b*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*a^3*b*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) - sqrt(6)*b^(3/2))*c^3) + 1/16*sqrt(pi)*a*b^3*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) - sqrt(6)*b^(3/2))*c^3) + 1/4*sqrt(pi)*a^2*b^(5/2)*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^3*i/abs(b) + sqrt(6)*b^2)*c^3) - 1/16*sqrt(pi)*a*b^(5/2)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^2*i/abs(b) + sqrt(6)*b)*c^3) - 3/8*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) - 15/64*sqrt(2)*sqrt(pi)*b^4*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c^3) + 3/8*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) + 15/64*sqrt(2)*sqrt(pi)*b^4*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c^3) - 1/4*sqrt(pi)*a^2*b^(5/2)*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^3*i/abs(b) - sqrt(6)*b^2)*c^3) - 1/16*sqrt(pi)*a*b^(5/2)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^2*i/abs(b) - sqrt(6)*b)*c^3) + 5/144*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(3*i*arccos(c*x))/c^3 + 5/16*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(i*arccos(c*x))/c^3 - 5/16*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(-i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(-i*arccos(c*x))/c^3 - 5/144*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(-3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(-3*i*arccos(c*x))/c^3 - 1/4*sqrt(pi)*a^2*b^2*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) + sqrt(6)*b^(3/2))*c^3) + 1/4*sqrt(pi)*a^2*b^2*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(5/2)*i/abs(b) - sqrt(6)*b^(3/2))*c^3) - 5/288*sqrt(pi)*b^(7/2)*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^2*i/abs(b) + sqrt(6)*b)*c^3) + 5/288*sqrt(pi)*b^(7/2)*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^2*i/abs(b) - sqrt(6)*b)*c^3) + 5/144*sqrt(b*arccos(c*x) + a)*a*b*i*e^(3*i*arccos(c*x))/c^3 + 1/12*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(3*i*arccos(c*x))/c^3 + 5/16*sqrt(b*arccos(c*x) + a)*a*b*i*e^(i*arccos(c*x))/c^3 + 1/4*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(i*arccos(c*x))/c^3 - 5/16*sqrt(b*arccos(c*x) + a)*a*b*i*e^(-i*arccos(c*x))/c^3 + 1/4*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(-i*arccos(c*x))/c^3 - 5/144*sqrt(b*arccos(c*x) + a)*a*b*i*e^(-3*i*arccos(c*x))/c^3 + 1/12*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(-3*i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*a^2*e^(3*i*arccos(c*x))/c^3 - 5/288*sqrt(b*arccos(c*x) + a)*b^2*e^(3*i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*a^2*e^(i*arccos(c*x))/c^3 - 15/32*sqrt(b*arccos(c*x) + a)*b^2*e^(i*arccos(c*x))/c^3 + 1/8*sqrt(b*arccos(c*x) + a)*a^2*e^(-i*arccos(c*x))/c^3 - 15/32*sqrt(b*arccos(c*x) + a)*b^2*e^(-i*arccos(c*x))/c^3 + 1/24*sqrt(b*arccos(c*x) + a)*a^2*e^(-3*i*arccos(c*x))/c^3 - 5/288*sqrt(b*arccos(c*x) + a)*b^2*e^(-3*i*arccos(c*x))/c^3","B",0
184,1,1366,0,5.507373," ","integrate(x*(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{3} i}{{\left| b \right|}} + b^{2}\right)} c^{2}} - \frac{\sqrt{\pi} a^{3} b^{\frac{3}{2}} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{3} i}{{\left| b \right|}} - b^{2}\right)} c^{2}} + \frac{9 \, \sqrt{\pi} a b^{3} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} + b^{\frac{3}{2}}\right)} c^{2}} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} - b^{\frac{3}{2}}\right)} c^{2}} + \frac{9 \, \sqrt{\pi} a b^{3} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} - b^{\frac{3}{2}}\right)} c^{2}} + \frac{3 \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{{\left| b \right|}} + b^{2}\right)} c^{2}} + \frac{\sqrt{\pi} a^{3} \sqrt{b} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} - \frac{9 \, \sqrt{\pi} a b^{\frac{5}{2}} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} - \frac{3 \, \sqrt{\pi} a^{2} b^{\frac{5}{2}} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{3} i}{{\left| b \right|}} - b^{2}\right)} c^{2}} - \frac{9 \, \sqrt{\pi} a b^{\frac{5}{2}} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{64 \, {\left(\frac{b^{2} i}{{\left| b \right|}} - b\right)} c^{2}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} - \frac{3 \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} + b^{\frac{3}{2}}\right)} c^{2}} + \frac{3 \, \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{8 \, {\left(\frac{b^{\frac{5}{2}} i}{{\left| b \right|}} - b^{\frac{3}{2}}\right)} c^{2}} - \frac{15 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{256 \, {\left(\frac{b^{2} i}{{\left| b \right|}} + b\right)} c^{2}} + \frac{15 \, \sqrt{\pi} b^{\frac{7}{2}} \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{256 \, {\left(\frac{b^{2} i}{{\left| b \right|}} - b\right)} c^{2}} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(2 \, i \arccos\left(c x\right)\right)}}{4 \, c^{2}} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{32 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{4 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(2 \, i \arccos\left(c x\right)\right)}}{128 \, c^{2}} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{8 \, c^{2}} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(-2 \, i \arccos\left(c x\right)\right)}}{128 \, c^{2}}"," ",0,"-1/4*sqrt(pi)*a^3*b^(3/2)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^3*i/abs(b) + b^2)*c^2) - 1/4*sqrt(pi)*a^3*b^(3/2)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^3*i/abs(b) - b^2)*c^2) + 9/64*sqrt(pi)*a*b^3*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^(5/2)*i/abs(b) + b^(3/2))*c^2) + 1/4*sqrt(pi)*a^3*b*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(5/2)*i/abs(b) - b^(3/2))*c^2) + 9/64*sqrt(pi)*a*b^3*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(5/2)*i/abs(b) - b^(3/2))*c^2) + 3/8*sqrt(pi)*a^2*b^(5/2)*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^3*i/abs(b) + b^2)*c^2) + 1/4*sqrt(pi)*a^3*sqrt(b)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) - 9/64*sqrt(pi)*a*b^(5/2)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) - 3/8*sqrt(pi)*a^2*b^(5/2)*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^3*i/abs(b) - b^2)*c^2) - 9/64*sqrt(pi)*a*b^(5/2)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^2*i/abs(b) - b)*c^2) + 5/32*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(2*i*arccos(c*x))/c^2 - 5/32*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(-2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(-2*i*arccos(c*x))/c^2 - 3/8*sqrt(pi)*a^2*b^2*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^(5/2)*i/abs(b) + b^(3/2))*c^2) + 3/8*sqrt(pi)*a^2*b^2*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(5/2)*i/abs(b) - b^(3/2))*c^2) - 15/256*sqrt(pi)*b^(7/2)*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/((b^2*i/abs(b) + b)*c^2) + 15/256*sqrt(pi)*b^(7/2)*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^2*i/abs(b) - b)*c^2) + 5/32*sqrt(b*arccos(c*x) + a)*a*b*i*e^(2*i*arccos(c*x))/c^2 + 1/4*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(2*i*arccos(c*x))/c^2 - 5/32*sqrt(b*arccos(c*x) + a)*a*b*i*e^(-2*i*arccos(c*x))/c^2 + 1/4*sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(-2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*a^2*e^(2*i*arccos(c*x))/c^2 - 15/128*sqrt(b*arccos(c*x) + a)*b^2*e^(2*i*arccos(c*x))/c^2 + 1/8*sqrt(b*arccos(c*x) + a)*a^2*e^(-2*i*arccos(c*x))/c^2 - 15/128*sqrt(b*arccos(c*x) + a)*b^2*e^(-2*i*arccos(c*x))/c^2","B",0
185,1,1209,0,6.930003," ","integrate((a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{4} i}{\sqrt{{\left| b \right|}}} + b^{3} \sqrt{{\left| b \right|}}\right)} c} - \frac{\sqrt{2} \sqrt{\pi} a^{3} b^{3} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{4} i}{\sqrt{{\left| b \right|}}} - b^{3} \sqrt{{\left| b \right|}}\right)} c} + \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} + b^{2} \sqrt{{\left| b \right|}}\right)} c} - \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{3} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{3} i}{\sqrt{{\left| b \right|}}} - b^{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} + \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} a^{3} b i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b^{2} i}{\sqrt{{\left| b \right|}}} - \sqrt{2} b \sqrt{{\left| b \right|}}\right)} c} - \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} - \frac{15 \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} + b \sqrt{{\left| b \right|}}\right)} c} + \frac{3 \, \sqrt{2} \sqrt{\pi} a^{2} b^{2} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{2 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{15 \, \sqrt{2} \sqrt{\pi} b^{4} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{16 \, {\left(\frac{b^{2} i}{\sqrt{{\left| b \right|}}} - b \sqrt{{\left| b \right|}}\right)} c} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(i \arccos\left(c x\right)\right)}}{2 \, c} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} i \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} b^{2} \arccos\left(c x\right)^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{2 \, c} + \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(i \arccos\left(c x\right)\right)}}{c} - \frac{5 \, \sqrt{b \arccos\left(c x\right) + a} a b i e^{\left(-i \arccos\left(c x\right)\right)}}{4 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a b \arccos\left(c x\right) e^{\left(-i \arccos\left(c x\right)\right)}}{c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(i \arccos\left(c x\right)\right)}}{2 \, c} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(i \arccos\left(c x\right)\right)}}{8 \, c} + \frac{\sqrt{b \arccos\left(c x\right) + a} a^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{2 \, c} - \frac{15 \, \sqrt{b \arccos\left(c x\right) + a} b^{2} e^{\left(-i \arccos\left(c x\right)\right)}}{8 \, c}"," ",0,"-1/2*sqrt(2)*sqrt(pi)*a^3*b^3*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^4*i/sqrt(abs(b)) + b^3*sqrt(abs(b)))*c) - 1/2*sqrt(2)*sqrt(pi)*a^3*b^3*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^4*i/sqrt(abs(b)) - b^3*sqrt(abs(b)))*c) + 3/2*sqrt(2)*sqrt(pi)*a^2*b^3*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^3*i/sqrt(abs(b)) + b^2*sqrt(abs(b)))*c) - 3/2*sqrt(2)*sqrt(pi)*a^2*b^3*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^3*i/sqrt(abs(b)) - b^2*sqrt(abs(b)))*c) + sqrt(pi)*a^3*b*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) + sqrt(2)*b*sqrt(abs(b)))*c) + sqrt(pi)*a^3*b*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b^2*i/sqrt(abs(b)) - sqrt(2)*b*sqrt(abs(b)))*c) - 3/2*sqrt(2)*sqrt(pi)*a^2*b^2*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) - 15/16*sqrt(2)*sqrt(pi)*b^4*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((b^2*i/sqrt(abs(b)) + b*sqrt(abs(b)))*c) + 3/2*sqrt(2)*sqrt(pi)*a^2*b^2*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + 15/16*sqrt(2)*sqrt(pi)*b^4*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((b^2*i/sqrt(abs(b)) - b*sqrt(abs(b)))*c) + 5/4*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(i*arccos(c*x))/c - 5/4*sqrt(b*arccos(c*x) + a)*b^2*i*arccos(c*x)*e^(-i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*b^2*arccos(c*x)^2*e^(-i*arccos(c*x))/c + 5/4*sqrt(b*arccos(c*x) + a)*a*b*i*e^(i*arccos(c*x))/c + sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(i*arccos(c*x))/c - 5/4*sqrt(b*arccos(c*x) + a)*a*b*i*e^(-i*arccos(c*x))/c + sqrt(b*arccos(c*x) + a)*a*b*arccos(c*x)*e^(-i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*a^2*e^(i*arccos(c*x))/c - 15/8*sqrt(b*arccos(c*x) + a)*b^2*e^(i*arccos(c*x))/c + 1/2*sqrt(b*arccos(c*x) + a)*a^2*e^(-i*arccos(c*x))/c - 15/8*sqrt(b*arccos(c*x) + a)*b^2*e^(-i*arccos(c*x))/c","B",0
186,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(5/2)/x,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(5/2)/x, x)","F",0
187,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^(5/2)/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(5/2)/x^2, x)","F",0
188,1,330,0,1.446750," ","integrate(x^2/(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{3}{2}} i}{{\left| b \right|}} + \sqrt{6} \sqrt{b}\right)} c^{3}} + \frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} c^{3}} + \frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{2 \, {\left| b \right|}} - \frac{\sqrt{6} \sqrt{b \arccos\left(c x\right) + a}}{2 \, \sqrt{b}}\right) e^{\left(-\frac{3 \, a i}{b}\right)}}{4 \, {\left(\frac{\sqrt{6} b^{\frac{3}{2}} i}{{\left| b \right|}} - \sqrt{6} \sqrt{b}\right)} c^{3}}"," ",0,"1/4*sqrt(pi)*i*erf(-1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(3*a*i/b)/((sqrt(6)*b^(3/2)*i/abs(b) + sqrt(6)*sqrt(b))*c^3) + 1/4*sqrt(pi)*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*c^3) + 1/4*sqrt(pi)*i*erf(1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - 1/2*sqrt(6)*sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-3*a*i/b)/((sqrt(6)*b^(3/2)*i/abs(b) - sqrt(6)*sqrt(b))*c^3)","A",0
189,1,139,0,1.278670," ","integrate(x/(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(-\frac{2 \, a i}{b}\right)}}{4 \, {\left(\frac{b^{\frac{3}{2}} i}{{\left| b \right|}} - \sqrt{b}\right)} c^{2}} + \frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{b \arccos\left(c x\right) + a} \sqrt{b} i}{{\left| b \right|}} - \frac{\sqrt{b \arccos\left(c x\right) + a}}{\sqrt{b}}\right) e^{\left(\frac{2 \, a i}{b}\right)}}{4 \, \sqrt{b} c^{2} {\left(\frac{b i}{{\left| b \right|}} + 1\right)}}"," ",0,"1/4*sqrt(pi)*i*erf(sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(-2*a*i/b)/((b^(3/2)*i/abs(b) - sqrt(b))*c^2) + 1/4*sqrt(pi)*i*erf(-sqrt(b*arccos(c*x) + a)*sqrt(b)*i/abs(b) - sqrt(b*arccos(c*x) + a)/sqrt(b))*e^(2*a*i/b)/(sqrt(b)*c^2*(b*i/abs(b) + 1))","A",0
190,1,163,0,1.213171," ","integrate(1/(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} c} + \frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(c x\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} c}"," ",0,"sqrt(pi)*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*c) + sqrt(pi)*i*erf(1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(c*x) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*c)","A",0
191,0,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \arccos\left(c x\right) + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*arccos(c*x) + a)*x), x)","F",0
192,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \arccos\left(c x\right) + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*arccos(c*x) + a)*x^2), x)","F",0
193,0,0,0,0.000000," ","integrate(x^2/(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*arccos(c*x) + a)^(3/2), x)","F",0
194,0,0,0,0.000000," ","integrate(x/(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(b*arccos(c*x) + a)^(3/2), x)","F",0
195,0,0,0,0.000000," ","integrate(1/(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(-3/2), x)","F",0
196,-2,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x))^(3/2),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
197,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^(3/2)*x^2), x)","F",0
198,0,0,0,0.000000," ","integrate(x^2/(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*arccos(c*x) + a)^(5/2), x)","F",0
199,0,0,0,0.000000," ","integrate(x/(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","\int \frac{x}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/(b*arccos(c*x) + a)^(5/2), x)","F",0
200,0,0,0,0.000000," ","integrate(1/(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^(-5/2), x)","F",0
201,-2,0,0,0.000000," ","integrate(1/x/(a+b*arccos(c*x))^(5/2),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
202,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccos(c*x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(c x\right) + a\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccos(c*x) + a)^(5/2)*x^2), x)","F",0
203,0,0,0,0.000000," ","integrate((d*x)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \left(d x\right)^{\frac{5}{2}} {\left(b \arccos\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((d*x)^(5/2)*(b*arccos(c*x) + a), x)","F",0
204,0,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \left(d x\right)^{\frac{3}{2}} {\left(b \arccos\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate((d*x)^(3/2)*(b*arccos(c*x) + a), x)","F",0
205,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))*(d*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{d x} {\left(b \arccos\left(c x\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(d*x)*(b*arccos(c*x) + a), x)","F",0
206,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{b \arccos\left(c x\right) + a}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)/sqrt(d*x), x)","F",0
207,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{b \arccos\left(c x\right) + a}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)/(d*x)^(3/2), x)","F",0
208,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{b \arccos\left(c x\right) + a}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)/(d*x)^(5/2), x)","F",0
209,-2,0,0,0.000000," ","integrate((d*x)^(5/2)*(a+b*arccos(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
210,-2,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arccos(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
211,-2,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2*(d*x)^(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
212,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2}}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2/sqrt(d*x), x)","F",0
213,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2}}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2/(d*x)^(3/2), x)","F",0
214,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2}}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2/(d*x)^(5/2), x)","F",0
215,-2,0,0,0.000000," ","integrate((d*x)^(3/2)*(a+b*arccos(c*x))^3,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
216,-2,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3*(d*x)^(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
217,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{3}}{\sqrt{d x}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^3/sqrt(d*x), x)","F",0
218,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{3}}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^3/(d*x)^(3/2), x)","F",0
219,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^3/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{3}}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^3/(d*x)^(5/2), x)","F",0
220,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{b \arccos\left(c x\right) + a}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*arccos(c*x) + a), x)","F",0
221,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \frac{\sqrt{d x}}{b \arccos\left(c x\right) + a}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*arccos(c*x) + a), x)","F",0
222,0,0,0,0.000000," ","integrate(1/(a+b*arccos(c*x))/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x} {\left(b \arccos\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*arccos(c*x) + a)), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*arccos(c*x)),x, algorithm=""giac"")","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} {\left(b \arccos\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x)^(3/2)*(b*arccos(c*x) + a)), x)","F",0
224,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{{\left(b \arccos\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*arccos(c*x) + a)^2, x)","F",0
225,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{d x}}{{\left(b \arccos\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*arccos(c*x) + a)^2, x)","F",0
226,0,0,0,0.000000," ","integrate(1/(a+b*arccos(c*x))^2/(d*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x} {\left(b \arccos\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*arccos(c*x) + a)^2), x)","F",0
227,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*arccos(c*x))^2,x, algorithm=""giac"")","\int \frac{1}{\left(d x\right)^{\frac{3}{2}} {\left(b \arccos\left(c x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x)^(3/2)*(b*arccos(c*x) + a)^2), x)","F",0
