1,1,72,61,0.006000," ","int(x^4*arccos(a*x),x)","\frac{\frac{a^{5} x^{5} \arccos \left(a x \right)}{5}-\frac{a^{4} x^{4} \sqrt{-a^{2} x^{2}+1}}{25}-\frac{4 a^{2} x^{2} \sqrt{-a^{2} x^{2}+1}}{75}-\frac{8 \sqrt{-a^{2} x^{2}+1}}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccos(a*x)-1/25*a^4*x^4*(-a^2*x^2+1)^(1/2)-4/75*a^2*x^2*(-a^2*x^2+1)^(1/2)-8/75*(-a^2*x^2+1)^(1/2))","A"
2,1,60,57,0.005000," ","int(x^3*arccos(a*x),x)","\frac{\frac{a^{4} x^{4} \arccos \left(a x \right)}{4}-\frac{a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}}{16}-\frac{3 a x \sqrt{-a^{2} x^{2}+1}}{32}+\frac{3 \arcsin \left(a x \right)}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccos(a*x)-1/16*a^3*x^3*(-a^2*x^2+1)^(1/2)-3/32*a*x*(-a^2*x^2+1)^(1/2)+3/32*arcsin(a*x))","A"
3,1,52,44,0.004000," ","int(x^2*arccos(a*x),x)","\frac{\frac{a^{3} x^{3} \arccos \left(a x \right)}{3}-\frac{a^{2} x^{2} \sqrt{-a^{2} x^{2}+1}}{9}-\frac{2 \sqrt{-a^{2} x^{2}+1}}{9}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccos(a*x)-1/9*a^2*x^2*(-a^2*x^2+1)^(1/2)-2/9*(-a^2*x^2+1)^(1/2))","A"
4,1,40,37,0.005000," ","int(x*arccos(a*x),x)","\frac{\frac{a^{2} x^{2} \arccos \left(a x \right)}{2}-\frac{a x \sqrt{-a^{2} x^{2}+1}}{4}+\frac{\arcsin \left(a x \right)}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccos(a*x)-1/4*a*x*(-a^2*x^2+1)^(1/2)+1/4*arcsin(a*x))","A"
5,1,27,24,0.003000," ","int(arccos(a*x),x)","\frac{a x \arccos \left(a x \right)-\sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arccos(a*x)-(-a^2*x^2+1)^(1/2))","A"
6,1,68,67,0.093000," ","int(arccos(a*x)/x,x)","-\frac{i \arccos \left(a x \right)^{2}}{2}+\arccos \left(a x \right) \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-\frac{i \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}"," ",0,"-1/2*I*arccos(a*x)^2+arccos(a*x)*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-1/2*I*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)","A"
7,1,29,25,0.009000," ","int(arccos(a*x)/x^2,x)","a \left(-\frac{\arccos \left(a x \right)}{a x}+\arctanh \left(\frac{1}{\sqrt{-a^{2} x^{2}+1}}\right)\right)"," ",0,"a*(-arccos(a*x)/a/x+arctanh(1/(-a^2*x^2+1)^(1/2)))","A"
8,1,38,28,0.004000," ","int(arccos(a*x)/x^3,x)","a^{2} \left(-\frac{\arccos \left(a x \right)}{2 a^{2} x^{2}}+\frac{\sqrt{-a^{2} x^{2}+1}}{2 a x}\right)"," ",0,"a^2*(-1/2*arccos(a*x)/a^2/x^2+1/2*(-a^2*x^2+1)^(1/2)/a/x)","A"
9,1,53,46,0.004000," ","int(arccos(a*x)/x^4,x)","a^{3} \left(-\frac{\arccos \left(a x \right)}{3 a^{3} x^{3}}+\frac{\sqrt{-a^{2} x^{2}+1}}{6 a^{2} x^{2}}+\frac{\arctanh \left(\frac{1}{\sqrt{-a^{2} x^{2}+1}}\right)}{6}\right)"," ",0,"a^3*(-1/3*arccos(a*x)/a^3/x^3+1/6/a^2/x^2*(-a^2*x^2+1)^(1/2)+1/6*arctanh(1/(-a^2*x^2+1)^(1/2)))","A"
10,1,58,48,0.006000," ","int(arccos(a*x)/x^5,x)","a^{4} \left(-\frac{\arccos \left(a x \right)}{4 a^{4} x^{4}}+\frac{\sqrt{-a^{2} x^{2}+1}}{12 a^{3} x^{3}}+\frac{\sqrt{-a^{2} x^{2}+1}}{6 a x}\right)"," ",0,"a^4*(-1/4*arccos(a*x)/a^4/x^4+1/12/a^3/x^3*(-a^2*x^2+1)^(1/2)+1/6*(-a^2*x^2+1)^(1/2)/a/x)","A"
11,1,73,66,0.005000," ","int(arccos(a*x)/x^6,x)","a^{5} \left(-\frac{\arccos \left(a x \right)}{5 a^{5} x^{5}}+\frac{\sqrt{-a^{2} x^{2}+1}}{20 a^{4} x^{4}}+\frac{3 \sqrt{-a^{2} x^{2}+1}}{40 a^{2} x^{2}}+\frac{3 \arctanh \left(\frac{1}{\sqrt{-a^{2} x^{2}+1}}\right)}{40}\right)"," ",0,"a^5*(-1/5*arccos(a*x)/a^5/x^5+1/20/a^4/x^4*(-a^2*x^2+1)^(1/2)+3/40/a^2/x^2*(-a^2*x^2+1)^(1/2)+3/40*arctanh(1/(-a^2*x^2+1)^(1/2)))","A"
12,1,76,100,0.056000," ","int(x^4*arccos(a*x)^2,x)","\frac{\frac{\arccos \left(a x \right)^{2} a^{5} x^{5}}{5}-\frac{2 \arccos \left(a x \right) \left(3 a^{4} x^{4}+4 a^{2} x^{2}+8\right) \sqrt{-a^{2} x^{2}+1}}{75}-\frac{2 a^{5} x^{5}}{125}-\frac{8 a^{3} x^{3}}{225}-\frac{16 a x}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*arccos(a*x)^2*a^5*x^5-2/75*arccos(a*x)*(3*a^4*x^4+4*a^2*x^2+8)*(-a^2*x^2+1)^(1/2)-2/125*a^5*x^5-8/225*a^3*x^3-16/75*a*x)","A"
13,1,93,82,0.062000," ","int(x^3*arccos(a*x)^2,x)","\frac{\frac{a^{4} x^{4} \arccos \left(a x \right)^{2}}{4}-\frac{\arccos \left(a x \right) \left(2 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+3 a x \sqrt{-a^{2} x^{2}+1}+3 \arccos \left(a x \right)\right)}{16}+\frac{3 \arccos \left(a x \right)^{2}}{32}-\frac{a^{4} x^{4}}{32}-\frac{3 a^{2} x^{2}}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccos(a*x)^2-1/16*arccos(a*x)*(2*a^3*x^3*(-a^2*x^2+1)^(1/2)+3*a*x*(-a^2*x^2+1)^(1/2)+3*arccos(a*x))+3/32*arccos(a*x)^2-1/32*a^4*x^4-3/32*a^2*x^2)","A"
14,1,59,68,0.050000," ","int(x^2*arccos(a*x)^2,x)","\frac{\frac{a^{3} x^{3} \arccos \left(a x \right)^{2}}{3}-\frac{2 \arccos \left(a x \right) \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{9}-\frac{2 a^{3} x^{3}}{27}-\frac{4 a x}{9}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccos(a*x)^2-2/9*arccos(a*x)*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)-2/27*a^3*x^3-4/9*a*x)","A"
15,1,63,50,0.056000," ","int(x*arccos(a*x)^2,x)","\frac{\frac{a^{2} x^{2} \arccos \left(a x \right)^{2}}{2}-\frac{\arccos \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)}{2}+\frac{\arccos \left(a x \right)^{2}}{4}-\frac{a^{2} x^{2}}{4}+\frac{1}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccos(a*x)^2-1/2*arccos(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))+1/4*arccos(a*x)^2-1/4*a^2*x^2+1/4)","A"
16,1,37,33,0.071000," ","int(arccos(a*x)^2,x)","\frac{a x \arccos \left(a x \right)^{2}-2 a x -2 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arccos(a*x)^2-2*a*x-2*arccos(a*x)*(-a^2*x^2+1)^(1/2))","A"
17,1,101,100,0.109000," ","int(arccos(a*x)^2/x,x)","-\frac{i \arccos \left(a x \right)^{3}}{3}+\arccos \left(a x \right)^{2} \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-i \arccos \left(a x \right) \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)+\frac{\polylog \left(3, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}"," ",0,"-1/3*I*arccos(a*x)^3+arccos(a*x)^2*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-I*arccos(a*x)*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+1/2*polylog(3,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)","A"
18,1,135,96,0.110000," ","int(arccos(a*x)^2/x^2,x)","-\frac{\arccos \left(a x \right)^{2}}{x}-2 a \arccos \left(a x \right) \ln \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+2 a \arccos \left(a x \right) \ln \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+2 i a \dilog \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-2 i a \dilog \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)"," ",0,"-arccos(a*x)^2/x-2*a*arccos(a*x)*ln(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))+2*a*arccos(a*x)*ln(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))+2*I*a*dilog(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))-2*I*a*dilog(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))","A"
19,1,42,39,0.115000," ","int(arccos(a*x)^2/x^3,x)","-\frac{\arccos \left(a x \right)^{2}}{2 x^{2}}+\frac{a \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{x}+a^{2} \ln \left(a x \right)"," ",0,"-1/2*arccos(a*x)^2/x^2+a*arccos(a*x)*(-a^2*x^2+1)^(1/2)/x+a^2*ln(a*x)","A"
20,1,173,132,0.493000," ","int(arccos(a*x)^2/x^4,x)","\frac{a \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3 x^{2}}-\frac{a^{2}}{3 x}-\frac{\arccos \left(a x \right)^{2}}{3 x^{3}}-\frac{a^{3} \arccos \left(a x \right) \ln \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}+\frac{a^{3} \arccos \left(a x \right) \ln \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}+\frac{i a^{3} \dilog \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}-\frac{i a^{3} \dilog \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}"," ",0,"1/3*a*arccos(a*x)*(-a^2*x^2+1)^(1/2)/x^2-1/3*a^2/x-1/3*arccos(a*x)^2/x^3-1/3*a^3*arccos(a*x)*ln(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))+1/3*a^3*arccos(a*x)*ln(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))+1/3*I*a^3*dilog(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))-1/3*I*a^3*dilog(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))","A"
21,1,76,73,0.109000," ","int(arccos(a*x)^2/x^5,x)","-\frac{\arccos \left(a x \right)^{2}}{4 x^{4}}+\frac{a \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{6 x^{3}}-\frac{a^{2}}{12 x^{2}}+\frac{a^{3} \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3 x}+\frac{a^{4} \ln \left(a x \right)}{3}"," ",0,"-1/4*arccos(a*x)^2/x^4+1/6*a*arccos(a*x)*(-a^2*x^2+1)^(1/2)/x^3-1/12*a^2/x^2+1/3*a^3*arccos(a*x)*(-a^2*x^2+1)^(1/2)/x+1/3*a^4*ln(a*x)","A"
22,1,159,169,0.050000," ","int(x^4*arccos(a*x)^3,x)","\frac{\frac{a^{5} x^{5} \arccos \left(a x \right)^{3}}{5}-\frac{\arccos \left(a x \right)^{2} \left(3 a^{4} x^{4}+4 a^{2} x^{2}+8\right) \sqrt{-a^{2} x^{2}+1}}{25}+\frac{16 \sqrt{-a^{2} x^{2}+1}}{25}-\frac{16 a x \arccos \left(a x \right)}{25}-\frac{6 a^{5} x^{5} \arccos \left(a x \right)}{125}+\frac{2 \left(3 a^{4} x^{4}+4 a^{2} x^{2}+8\right) \sqrt{-a^{2} x^{2}+1}}{625}-\frac{8 a^{3} x^{3} \arccos \left(a x \right)}{75}+\frac{8 \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{225}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccos(a*x)^3-1/25*arccos(a*x)^2*(3*a^4*x^4+4*a^2*x^2+8)*(-a^2*x^2+1)^(1/2)+16/25*(-a^2*x^2+1)^(1/2)-16/25*a*x*arccos(a*x)-6/125*a^5*x^5*arccos(a*x)+2/625*(3*a^4*x^4+4*a^2*x^2+8)*(-a^2*x^2+1)^(1/2)-8/75*a^3*x^3*arccos(a*x)+8/225*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
23,1,151,141,0.080000," ","int(x^3*arccos(a*x)^3,x)","\frac{\frac{a^{4} x^{4} \arccos \left(a x \right)^{3}}{4}-\frac{3 \arccos \left(a x \right)^{2} \left(2 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+3 a x \sqrt{-a^{2} x^{2}+1}+3 \arccos \left(a x \right)\right)}{32}-\frac{3 a^{4} x^{4} \arccos \left(a x \right)}{32}+\frac{3 a x \left(2 a^{2} x^{2}+3\right) \sqrt{-a^{2} x^{2}+1}}{256}+\frac{45 \arccos \left(a x \right)}{256}-\frac{9 a^{2} x^{2} \arccos \left(a x \right)}{32}+\frac{9 a x \sqrt{-a^{2} x^{2}+1}}{64}+\frac{3 \arccos \left(a x \right)^{3}}{16}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccos(a*x)^3-3/32*arccos(a*x)^2*(2*a^3*x^3*(-a^2*x^2+1)^(1/2)+3*a*x*(-a^2*x^2+1)^(1/2)+3*arccos(a*x))-3/32*a^4*x^4*arccos(a*x)+3/256*a*x*(2*a^2*x^2+3)*(-a^2*x^2+1)^(1/2)+45/256*arccos(a*x)-9/32*a^2*x^2*arccos(a*x)+9/64*a*x*(-a^2*x^2+1)^(1/2)+3/16*arccos(a*x)^3)","A"
24,1,106,114,0.042000," ","int(x^2*arccos(a*x)^3,x)","\frac{\frac{a^{3} x^{3} \arccos \left(a x \right)^{3}}{3}-\frac{\arccos \left(a x \right)^{2} \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{3}+\frac{4 \sqrt{-a^{2} x^{2}+1}}{3}-\frac{4 a x \arccos \left(a x \right)}{3}-\frac{2 a^{3} x^{3} \arccos \left(a x \right)}{9}+\frac{2 \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{27}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccos(a*x)^3-1/3*arccos(a*x)^2*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)+4/3*(-a^2*x^2+1)^(1/2)-4/3*a*x*arccos(a*x)-2/9*a^3*x^3*arccos(a*x)+2/27*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
25,1,90,83,0.074000," ","int(x*arccos(a*x)^3,x)","\frac{\frac{a^{2} x^{2} \arccos \left(a x \right)^{3}}{2}-\frac{3 \arccos \left(a x \right)^{2} \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)}{4}-\frac{3 a^{2} x^{2} \arccos \left(a x \right)}{4}+\frac{3 a x \sqrt{-a^{2} x^{2}+1}}{8}+\frac{3 \arccos \left(a x \right)}{8}+\frac{\arccos \left(a x \right)^{3}}{2}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccos(a*x)^3-3/4*arccos(a*x)^2*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))-3/4*a^2*x^2*arccos(a*x)+3/8*a*x*(-a^2*x^2+1)^(1/2)+3/8*arccos(a*x)+1/2*arccos(a*x)^3)","A"
26,1,57,56,0.070000," ","int(arccos(a*x)^3,x)","\frac{a x \arccos \left(a x \right)^{3}-3 \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+6 \sqrt{-a^{2} x^{2}+1}-6 a x \arccos \left(a x \right)}{a}"," ",0,"1/a*(a*x*arccos(a*x)^3-3*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+6*(-a^2*x^2+1)^(1/2)-6*a*x*arccos(a*x))","A"
27,1,135,134,0.128000," ","int(arccos(a*x)^3/x,x)","-\frac{i \arccos \left(a x \right)^{4}}{4}+\arccos \left(a x \right)^{3} \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-\frac{3 i \arccos \left(a x \right)^{2} \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}+\frac{3 \arccos \left(a x \right) \polylog \left(3, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}+\frac{3 i \polylog \left(4, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{4}"," ",0,"-1/4*I*arccos(a*x)^4+arccos(a*x)^3*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-3/2*I*arccos(a*x)^2*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3/2*arccos(a*x)*polylog(3,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3/4*I*polylog(4,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)","A"
28,0,0,160,0.365000," ","int(arccos(a*x)^3/x^2,x)","\int \frac{\arccos \left(a x \right)^{3}}{x^{2}}\, dx"," ",0,"int(arccos(a*x)^3/x^2,x)","F"
29,1,113,112,0.342000," ","int(arccos(a*x)^3/x^3,x)","-\frac{3 i a^{2} \arccos \left(a x \right)^{2}}{2}-\frac{\arccos \left(a x \right)^{3}}{2 x^{2}}+3 a^{2} \arccos \left(a x \right) \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-\frac{3 i a^{2} \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}+\frac{3 a \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{2 x}"," ",0,"-3/2*I*a^2*arccos(a*x)^2-1/2*arccos(a*x)^3/x^2+3*a^2*arccos(a*x)*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-3/2*I*a^2*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3/2*a*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)/x","A"
30,1,272,222,0.425000," ","int(arccos(a*x)^3/x^4,x)","\frac{a \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{2 x^{2}}-\frac{a^{2} \arccos \left(a x \right)}{x}-\frac{\arccos \left(a x \right)^{3}}{3 x^{3}}+\frac{a^{3} \arccos \left(a x \right)^{2} \ln \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{2}-i a^{3} \arccos \left(a x \right) \polylog \left(2, i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+a^{3} \polylog \left(3, i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-\frac{a^{3} \arccos \left(a x \right)^{2} \ln \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{2}+i a^{3} \arccos \left(a x \right) \polylog \left(2, -i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-a^{3} \polylog \left(3, -i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-2 i a^{3} \arctan \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)"," ",0,"1/2*a*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)/x^2-a^2*arccos(a*x)/x-1/3*arccos(a*x)^3/x^3+1/2*a^3*arccos(a*x)^2*ln(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-I*a^3*arccos(a*x)*polylog(2,I*(I*(-a^2*x^2+1)^(1/2)+a*x))+a^3*polylog(3,I*(I*(-a^2*x^2+1)^(1/2)+a*x))-1/2*a^3*arccos(a*x)^2*ln(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))+I*a^3*arccos(a*x)*polylog(2,-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-a^3*polylog(3,-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-2*I*a^3*arctan(I*(-a^2*x^2+1)^(1/2)+a*x)","A"
31,1,176,169,0.449000," ","int(arccos(a*x)^3/x^5,x)","-\frac{i a^{4} \arccos \left(a x \right)^{2}}{2}+\frac{a^{3} \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{2 x}+\frac{i a^{4}}{4}+\frac{a^{3} \sqrt{-a^{2} x^{2}+1}}{4 x}+\frac{a \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{4 x^{3}}-\frac{a^{2} \arccos \left(a x \right)}{4 x^{2}}-\frac{\arccos \left(a x \right)^{3}}{4 x^{4}}+a^{4} \arccos \left(a x \right) \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-\frac{i a^{4} \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}"," ",0,"-1/2*I*a^4*arccos(a*x)^2+1/2*a^3*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)/x+1/4*I*a^4+1/4*a^3*(-a^2*x^2+1)^(1/2)/x+1/4*a*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)/x^3-1/4*a^2*arccos(a*x)/x^2-1/4*arccos(a*x)^3/x^4+a^4*arccos(a*x)*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-1/2*I*a^4*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)","A"
32,1,318,240,0.160000," ","int(x^5*arccos(a*x)^4,x)","\frac{\frac{a^{6} x^{6} \arccos \left(a x \right)^{4}}{6}-\frac{\arccos \left(a x \right)^{3} \left(8 a^{5} x^{5} \sqrt{-a^{2} x^{2}+1}+10 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+15 a x \sqrt{-a^{2} x^{2}+1}+15 \arccos \left(a x \right)\right)}{72}-\frac{\arccos \left(a x \right)^{2} a^{6} x^{6}}{18}+\frac{\arccos \left(a x \right) \left(8 a^{5} x^{5} \sqrt{-a^{2} x^{2}+1}+10 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+15 a x \sqrt{-a^{2} x^{2}+1}+15 \arccos \left(a x \right)\right)}{432}-\frac{245 \arccos \left(a x \right)^{2}}{1152}+\frac{a^{6} x^{6}}{324}+\frac{65 a^{4} x^{4}}{3456}+\frac{245 a^{2} x^{2}}{1152}-\frac{5 a^{4} x^{4} \arccos \left(a x \right)^{2}}{48}+\frac{5 \arccos \left(a x \right) \left(2 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+3 a x \sqrt{-a^{2} x^{2}+1}+3 \arccos \left(a x \right)\right)}{192}-\frac{5 a^{2} x^{2} \arccos \left(a x \right)^{2}}{16}+\frac{5 \arccos \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)}{16}-\frac{5}{32}+\frac{5 \arccos \left(a x \right)^{4}}{32}}{a^{6}}"," ",0,"1/a^6*(1/6*a^6*x^6*arccos(a*x)^4-1/72*arccos(a*x)^3*(8*a^5*x^5*(-a^2*x^2+1)^(1/2)+10*a^3*x^3*(-a^2*x^2+1)^(1/2)+15*a*x*(-a^2*x^2+1)^(1/2)+15*arccos(a*x))-1/18*arccos(a*x)^2*a^6*x^6+1/432*arccos(a*x)*(8*a^5*x^5*(-a^2*x^2+1)^(1/2)+10*a^3*x^3*(-a^2*x^2+1)^(1/2)+15*a*x*(-a^2*x^2+1)^(1/2)+15*arccos(a*x))-245/1152*arccos(a*x)^2+1/324*a^6*x^6+65/3456*a^4*x^4+245/1152*a^2*x^2-5/48*a^4*x^4*arccos(a*x)^2+5/192*arccos(a*x)*(2*a^3*x^3*(-a^2*x^2+1)^(1/2)+3*a*x*(-a^2*x^2+1)^(1/2)+3*arccos(a*x))-5/16*a^2*x^2*arccos(a*x)^2+5/16*arccos(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))-5/32+5/32*arccos(a*x)^4)","A"
33,1,197,212,0.049000," ","int(x^4*arccos(a*x)^4,x)","\frac{\frac{a^{5} x^{5} \arccos \left(a x \right)^{4}}{5}-\frac{4 \arccos \left(a x \right)^{3} \left(3 a^{4} x^{4}+4 a^{2} x^{2}+8\right) \sqrt{-a^{2} x^{2}+1}}{75}-\frac{32 a x \arccos \left(a x \right)^{2}}{25}+\frac{16576 a x}{5625}+\frac{64 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{25}-\frac{12 \arccos \left(a x \right)^{2} a^{5} x^{5}}{125}+\frac{8 \arccos \left(a x \right) \left(3 a^{4} x^{4}+4 a^{2} x^{2}+8\right) \sqrt{-a^{2} x^{2}+1}}{625}+\frac{24 a^{5} x^{5}}{3125}+\frac{1088 a^{3} x^{3}}{16875}-\frac{16 a^{3} x^{3} \arccos \left(a x \right)^{2}}{75}+\frac{32 \arccos \left(a x \right) \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{225}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccos(a*x)^4-4/75*arccos(a*x)^3*(3*a^4*x^4+4*a^2*x^2+8)*(-a^2*x^2+1)^(1/2)-32/25*a*x*arccos(a*x)^2+16576/5625*a*x+64/25*arccos(a*x)*(-a^2*x^2+1)^(1/2)-12/125*arccos(a*x)^2*a^5*x^5+8/625*arccos(a*x)*(3*a^4*x^4+4*a^2*x^2+8)*(-a^2*x^2+1)^(1/2)+24/3125*a^5*x^5+1088/16875*a^3*x^3-16/75*a^3*x^3*arccos(a*x)^2+32/225*arccos(a*x)*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
34,1,207,168,0.069000," ","int(x^3*arccos(a*x)^4,x)","\frac{\frac{a^{4} x^{4} \arccos \left(a x \right)^{4}}{4}-\frac{\arccos \left(a x \right)^{3} \left(2 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+3 a x \sqrt{-a^{2} x^{2}+1}+3 \arccos \left(a x \right)\right)}{8}-\frac{3 a^{4} x^{4} \arccos \left(a x \right)^{2}}{16}+\frac{3 \arccos \left(a x \right) \left(2 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}+3 a x \sqrt{-a^{2} x^{2}+1}+3 \arccos \left(a x \right)\right)}{64}-\frac{45 \arccos \left(a x \right)^{2}}{128}+\frac{3 a^{4} x^{4}}{128}+\frac{45 a^{2} x^{2}}{128}-\frac{9 a^{2} x^{2} \arccos \left(a x \right)^{2}}{16}+\frac{9 \arccos \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)}{16}-\frac{9}{32}+\frac{9 \arccos \left(a x \right)^{4}}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccos(a*x)^4-1/8*arccos(a*x)^3*(2*a^3*x^3*(-a^2*x^2+1)^(1/2)+3*a*x*(-a^2*x^2+1)^(1/2)+3*arccos(a*x))-3/16*a^4*x^4*arccos(a*x)^2+3/64*arccos(a*x)*(2*a^3*x^3*(-a^2*x^2+1)^(1/2)+3*a*x*(-a^2*x^2+1)^(1/2)+3*arccos(a*x))-45/128*arccos(a*x)^2+3/128*a^4*x^4+45/128*a^2*x^2-9/16*a^2*x^2*arccos(a*x)^2+9/16*arccos(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))-9/32+9/32*arccos(a*x)^4)","A"
35,1,130,140,0.046000," ","int(x^2*arccos(a*x)^4,x)","\frac{\frac{a^{3} x^{3} \arccos \left(a x \right)^{4}}{3}-\frac{4 \arccos \left(a x \right)^{3} \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{9}-\frac{8 a x \arccos \left(a x \right)^{2}}{3}+\frac{160 a x}{27}+\frac{16 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3}-\frac{4 a^{3} x^{3} \arccos \left(a x \right)^{2}}{9}+\frac{8 \arccos \left(a x \right) \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{27}+\frac{8 a^{3} x^{3}}{81}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccos(a*x)^4-4/9*arccos(a*x)^3*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)-8/3*a*x*arccos(a*x)^2+160/27*a*x+16/3*arccos(a*x)*(-a^2*x^2+1)^(1/2)-4/9*a^3*x^3*arccos(a*x)^2+8/27*arccos(a*x)*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)+8/81*a^3*x^3)","A"
36,1,113,96,0.060000," ","int(x*arccos(a*x)^4,x)","\frac{\frac{a^{2} x^{2} \arccos \left(a x \right)^{4}}{2}-\arccos \left(a x \right)^{3} \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)-\frac{3 a^{2} x^{2} \arccos \left(a x \right)^{2}}{2}+\frac{3 \arccos \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arccos \left(a x \right)\right)}{2}-\frac{3 \arccos \left(a x \right)^{2}}{4}+\frac{3 a^{2} x^{2}}{4}-\frac{3}{4}+\frac{3 \arccos \left(a x \right)^{4}}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccos(a*x)^4-arccos(a*x)^3*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))-3/2*a^2*x^2*arccos(a*x)^2+3/2*arccos(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arccos(a*x))-3/4*arccos(a*x)^2+3/4*a^2*x^2-3/4+3/4*arccos(a*x)^4)","A"
37,1,67,65,0.074000," ","int(arccos(a*x)^4,x)","\frac{a x \arccos \left(a x \right)^{4}-4 \arccos \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}-12 a x \arccos \left(a x \right)^{2}+24 a x +24 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arccos(a*x)^4-4*arccos(a*x)^3*(-a^2*x^2+1)^(1/2)-12*a*x*arccos(a*x)^2+24*a*x+24*arccos(a*x)*(-a^2*x^2+1)^(1/2))","A"
38,1,168,167,0.123000," ","int(arccos(a*x)^4/x,x)","-\frac{i \arccos \left(a x \right)^{5}}{5}+\arccos \left(a x \right)^{4} \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-2 i \arccos \left(a x \right)^{3} \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)+3 \arccos \left(a x \right)^{2} \polylog \left(3, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)+3 i \arccos \left(a x \right) \polylog \left(4, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-\frac{3 \polylog \left(5, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)}{2}"," ",0,"-1/5*I*arccos(a*x)^5+arccos(a*x)^4*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-2*I*arccos(a*x)^3*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3*arccos(a*x)^2*polylog(3,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3*I*arccos(a*x)*polylog(4,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-3/2*polylog(5,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)","A"
39,0,0,228,0.347000," ","int(arccos(a*x)^4/x^2,x)","\int \frac{\arccos \left(a x \right)^{4}}{x^{2}}\, dx"," ",0,"int(arccos(a*x)^4/x^2,x)","F"
40,1,149,148,0.341000," ","int(arccos(a*x)^4/x^3,x)","-2 i a^{2} \arccos \left(a x \right)^{3}-\frac{\arccos \left(a x \right)^{4}}{2 x^{2}}+6 a^{2} \arccos \left(a x \right)^{2} \ln \left(1+\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)-6 i a^{2} \arccos \left(a x \right) \polylog \left(2, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)+3 a^{2} \polylog \left(3, -\left(i \sqrt{-a^{2} x^{2}+1}+a x \right)^{2}\right)+\frac{2 a \arccos \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}}{x}"," ",0,"-2*I*a^2*arccos(a*x)^3-1/2*arccos(a*x)^4/x^2+6*a^2*arccos(a*x)^2*ln(1+(I*(-a^2*x^2+1)^(1/2)+a*x)^2)-6*I*a^2*arccos(a*x)*polylog(2,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+3*a^2*polylog(3,-(I*(-a^2*x^2+1)^(1/2)+a*x)^2)+2*a*arccos(a*x)^3*(-a^2*x^2+1)^(1/2)/x","A"
41,1,451,370,0.427000," ","int(arccos(a*x)^4/x^4,x)","\frac{2 a \arccos \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}}{3 x^{2}}-\frac{2 a^{2} \arccos \left(a x \right)^{2}}{x}-\frac{\arccos \left(a x \right)^{4}}{3 x^{3}}+\frac{2 a^{3} \arccos \left(a x \right)^{3} \ln \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}-2 i a^{3} \arccos \left(a x \right)^{2} \polylog \left(2, i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+4 a^{3} \arccos \left(a x \right) \polylog \left(3, i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+4 i a^{3} \polylog \left(4, i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-\frac{2 a^{3} \arccos \left(a x \right)^{3} \ln \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)}{3}+2 i a^{3} \arccos \left(a x \right)^{2} \polylog \left(2, -i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-4 a^{3} \arccos \left(a x \right) \polylog \left(3, -i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-4 i a^{3} \polylog \left(4, -i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-4 a^{3} \arccos \left(a x \right) \ln \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+4 a^{3} \arccos \left(a x \right) \ln \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)+4 i a^{3} \dilog \left(1+i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)-4 i a^{3} \dilog \left(1-i \left(i \sqrt{-a^{2} x^{2}+1}+a x \right)\right)"," ",0,"2/3*a*arccos(a*x)^3*(-a^2*x^2+1)^(1/2)/x^2-2*a^2*arccos(a*x)^2/x-1/3*arccos(a*x)^4/x^3+2/3*a^3*arccos(a*x)^3*ln(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-2*I*a^3*arccos(a*x)^2*polylog(2,I*(I*(-a^2*x^2+1)^(1/2)+a*x))+4*a^3*arccos(a*x)*polylog(3,I*(I*(-a^2*x^2+1)^(1/2)+a*x))+4*I*a^3*polylog(4,I*(I*(-a^2*x^2+1)^(1/2)+a*x))-2/3*a^3*arccos(a*x)^3*ln(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))+2*I*a^3*arccos(a*x)^2*polylog(2,-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-4*a^3*arccos(a*x)*polylog(3,-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-4*I*a^3*polylog(4,-I*(I*(-a^2*x^2+1)^(1/2)+a*x))-4*a^3*arccos(a*x)*ln(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))+4*a^3*arccos(a*x)*ln(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))+4*I*a^3*dilog(1+I*(I*(-a^2*x^2+1)^(1/2)+a*x))-4*I*a^3*dilog(1-I*(I*(-a^2*x^2+1)^(1/2)+a*x))","A"
42,1,40,47,0.165000," ","int(x^6/arccos(a*x),x)","\frac{-\frac{9 \Si \left(3 \arccos \left(a x \right)\right)}{64}-\frac{5 \Si \left(5 \arccos \left(a x \right)\right)}{64}-\frac{\Si \left(7 \arccos \left(a x \right)\right)}{64}-\frac{5 \Si \left(\arccos \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(-9/64*Si(3*arccos(a*x))-5/64*Si(5*arccos(a*x))-1/64*Si(7*arccos(a*x))-5/64*Si(arccos(a*x)))","A"
43,1,33,37,0.147000," ","int(x^5/arccos(a*x),x)","\frac{-\frac{5 \Si \left(2 \arccos \left(a x \right)\right)}{32}-\frac{\Si \left(4 \arccos \left(a x \right)\right)}{8}-\frac{\Si \left(6 \arccos \left(a x \right)\right)}{32}}{a^{6}}"," ",0,"1/a^6*(-5/32*Si(2*arccos(a*x))-1/8*Si(4*arccos(a*x))-1/32*Si(6*arccos(a*x)))","A"
44,1,31,35,0.040000," ","int(x^4/arccos(a*x),x)","\frac{-\frac{3 \Si \left(3 \arccos \left(a x \right)\right)}{16}-\frac{\Si \left(5 \arccos \left(a x \right)\right)}{16}-\frac{\Si \left(\arccos \left(a x \right)\right)}{8}}{a^{5}}"," ",0,"1/a^5*(-3/16*Si(3*arccos(a*x))-1/16*Si(5*arccos(a*x))-1/8*Si(arccos(a*x)))","A"
45,1,24,25,0.039000," ","int(x^3/arccos(a*x),x)","\frac{-\frac{\Si \left(2 \arccos \left(a x \right)\right)}{4}-\frac{\Si \left(4 \arccos \left(a x \right)\right)}{8}}{a^{4}}"," ",0,"1/a^4*(-1/4*Si(2*arccos(a*x))-1/8*Si(4*arccos(a*x)))","A"
46,1,22,23,0.038000," ","int(x^2/arccos(a*x),x)","\frac{-\frac{\Si \left(3 \arccos \left(a x \right)\right)}{4}-\frac{\Si \left(\arccos \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(-1/4*Si(3*arccos(a*x))-1/4*Si(arccos(a*x)))","A"
47,1,13,12,0.038000," ","int(x/arccos(a*x),x)","-\frac{\Si \left(2 \arccos \left(a x \right)\right)}{2 a^{2}}"," ",0,"-1/2*Si(2*arccos(a*x))/a^2","A"
48,1,11,10,0.032000," ","int(1/arccos(a*x),x)","-\frac{\Si \left(\arccos \left(a x \right)\right)}{a}"," ",0,"-Si(arccos(a*x))/a","A"
49,0,0,12,0.194000," ","int(1/x/arccos(a*x),x)","\int \frac{1}{x \arccos \left(a x \right)}\, dx"," ",0,"int(1/x/arccos(a*x),x)","F"
50,0,0,12,0.327000," ","int(1/x^2/arccos(a*x),x)","\int \frac{1}{x^{2} \arccos \left(a x \right)}\, dx"," ",0,"int(1/x^2/arccos(a*x),x)","F"
51,1,105,72,0.209000," ","int(x^6/arccos(a*x)^2,x)","\frac{\frac{9 \sin \left(3 \arccos \left(a x \right)\right)}{64 \arccos \left(a x \right)}-\frac{27 \Ci \left(3 \arccos \left(a x \right)\right)}{64}+\frac{5 \sin \left(5 \arccos \left(a x \right)\right)}{64 \arccos \left(a x \right)}-\frac{25 \Ci \left(5 \arccos \left(a x \right)\right)}{64}+\frac{\sin \left(7 \arccos \left(a x \right)\right)}{64 \arccos \left(a x \right)}-\frac{7 \Ci \left(7 \arccos \left(a x \right)\right)}{64}+\frac{5 \sqrt{-a^{2} x^{2}+1}}{64 \arccos \left(a x \right)}-\frac{5 \Ci \left(\arccos \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(9/64/arccos(a*x)*sin(3*arccos(a*x))-27/64*Ci(3*arccos(a*x))+5/64/arccos(a*x)*sin(5*arccos(a*x))-25/64*Ci(5*arccos(a*x))+1/64/arccos(a*x)*sin(7*arccos(a*x))-7/64*Ci(7*arccos(a*x))+5/64/arccos(a*x)*(-a^2*x^2+1)^(1/2)-5/64*Ci(arccos(a*x)))","A"
52,1,78,62,0.152000," ","int(x^5/arccos(a*x)^2,x)","\frac{\frac{5 \sin \left(2 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)}-\frac{5 \Ci \left(2 \arccos \left(a x \right)\right)}{16}+\frac{\sin \left(4 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)}-\frac{\Ci \left(4 \arccos \left(a x \right)\right)}{2}+\frac{\sin \left(6 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)}-\frac{3 \Ci \left(6 \arccos \left(a x \right)\right)}{16}}{a^{6}}"," ",0,"1/a^6*(5/32/arccos(a*x)*sin(2*arccos(a*x))-5/16*Ci(2*arccos(a*x))+1/8/arccos(a*x)*sin(4*arccos(a*x))-1/2*Ci(4*arccos(a*x))+1/32/arccos(a*x)*sin(6*arccos(a*x))-3/16*Ci(6*arccos(a*x)))","A"
53,1,81,60,0.046000," ","int(x^4/arccos(a*x)^2,x)","\frac{\frac{3 \sin \left(3 \arccos \left(a x \right)\right)}{16 \arccos \left(a x \right)}-\frac{9 \Ci \left(3 \arccos \left(a x \right)\right)}{16}+\frac{\sin \left(5 \arccos \left(a x \right)\right)}{16 \arccos \left(a x \right)}-\frac{5 \Ci \left(5 \arccos \left(a x \right)\right)}{16}+\frac{\sqrt{-a^{2} x^{2}+1}}{8 \arccos \left(a x \right)}-\frac{\Ci \left(\arccos \left(a x \right)\right)}{8}}{a^{5}}"," ",0,"1/a^5*(3/16/arccos(a*x)*sin(3*arccos(a*x))-9/16*Ci(3*arccos(a*x))+1/16/arccos(a*x)*sin(5*arccos(a*x))-5/16*Ci(5*arccos(a*x))+1/8/arccos(a*x)*(-a^2*x^2+1)^(1/2)-1/8*Ci(arccos(a*x)))","A"
54,1,54,50,0.042000," ","int(x^3/arccos(a*x)^2,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{4 \arccos \left(a x \right)}-\frac{\Ci \left(2 \arccos \left(a x \right)\right)}{2}+\frac{\sin \left(4 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)}-\frac{\Ci \left(4 \arccos \left(a x \right)\right)}{2}}{a^{4}}"," ",0,"1/a^4*(1/4/arccos(a*x)*sin(2*arccos(a*x))-1/2*Ci(2*arccos(a*x))+1/8/arccos(a*x)*sin(4*arccos(a*x))-1/2*Ci(4*arccos(a*x)))","A"
55,1,57,48,0.042000," ","int(x^2/arccos(a*x)^2,x)","\frac{\frac{\sin \left(3 \arccos \left(a x \right)\right)}{4 \arccos \left(a x \right)}-\frac{3 \Ci \left(3 \arccos \left(a x \right)\right)}{4}+\frac{\sqrt{-a^{2} x^{2}+1}}{4 \arccos \left(a x \right)}-\frac{\Ci \left(\arccos \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(1/4/arccos(a*x)*sin(3*arccos(a*x))-3/4*Ci(3*arccos(a*x))+1/4/arccos(a*x)*(-a^2*x^2+1)^(1/2)-1/4*Ci(arccos(a*x)))","A"
56,1,30,36,0.034000," ","int(x/arccos(a*x)^2,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{2 \arccos \left(a x \right)}-\Ci \left(2 \arccos \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(1/2/arccos(a*x)*sin(2*arccos(a*x))-Ci(2*arccos(a*x)))","A"
57,1,32,33,0.036000," ","int(1/arccos(a*x)^2,x)","\frac{\frac{\sqrt{-a^{2} x^{2}+1}}{\arccos \left(a x \right)}-\Ci \left(\arccos \left(a x \right)\right)}{a}"," ",0,"1/a*(1/arccos(a*x)*(-a^2*x^2+1)^(1/2)-Ci(arccos(a*x)))","A"
58,0,0,12,0.194000," ","int(1/x/arccos(a*x)^2,x)","\int \frac{1}{x \arccos \left(a x \right)^{2}}\, dx"," ",0,"int(1/x/arccos(a*x)^2,x)","F"
59,0,0,12,0.334000," ","int(1/x^2/arccos(a*x)^2,x)","\int \frac{1}{x^{2} \arccos \left(a x \right)^{2}}\, dx"," ",0,"int(1/x^2/arccos(a*x)^2,x)","F"
60,1,121,86,0.133000," ","int(x^4/arccos(a*x)^3,x)","\frac{\frac{3 \sin \left(3 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)^{2}}+\frac{9 \cos \left(3 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)}+\frac{27 \Si \left(3 \arccos \left(a x \right)\right)}{32}+\frac{\sin \left(5 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)^{2}}+\frac{5 \cos \left(5 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)}+\frac{25 \Si \left(5 \arccos \left(a x \right)\right)}{32}+\frac{\sqrt{-a^{2} x^{2}+1}}{16 \arccos \left(a x \right)^{2}}+\frac{a x}{16 \arccos \left(a x \right)}+\frac{\Si \left(\arccos \left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(3/32/arccos(a*x)^2*sin(3*arccos(a*x))+9/32/arccos(a*x)*cos(3*arccos(a*x))+27/32*Si(3*arccos(a*x))+1/32/arccos(a*x)^2*sin(5*arccos(a*x))+5/32/arccos(a*x)*cos(5*arccos(a*x))+25/32*Si(5*arccos(a*x))+1/16/arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+1/16*a*x/arccos(a*x)+1/16*Si(arccos(a*x)))","A"
61,1,82,75,0.108000," ","int(x^3/arccos(a*x)^3,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)^{2}}+\frac{\cos \left(2 \arccos \left(a x \right)\right)}{4 \arccos \left(a x \right)}+\frac{\Si \left(2 \arccos \left(a x \right)\right)}{2}+\frac{\sin \left(4 \arccos \left(a x \right)\right)}{16 \arccos \left(a x \right)^{2}}+\frac{\cos \left(4 \arccos \left(a x \right)\right)}{4 \arccos \left(a x \right)}+\Si \left(4 \arccos \left(a x \right)\right)}{a^{4}}"," ",0,"1/a^4*(1/8/arccos(a*x)^2*sin(2*arccos(a*x))+1/4/arccos(a*x)*cos(2*arccos(a*x))+1/2*Si(2*arccos(a*x))+1/16*sin(4*arccos(a*x))/arccos(a*x)^2+1/4/arccos(a*x)*cos(4*arccos(a*x))+Si(4*arccos(a*x)))","A"
62,1,82,72,0.040000," ","int(x^2/arccos(a*x)^3,x)","\frac{\frac{\sin \left(3 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)^{2}}+\frac{3 \cos \left(3 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)}+\frac{9 \Si \left(3 \arccos \left(a x \right)\right)}{8}+\frac{\sqrt{-a^{2} x^{2}+1}}{8 \arccos \left(a x \right)^{2}}+\frac{a x}{8 \arccos \left(a x \right)}+\frac{\Si \left(\arccos \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(1/8/arccos(a*x)^2*sin(3*arccos(a*x))+3/8/arccos(a*x)*cos(3*arccos(a*x))+9/8*Si(3*arccos(a*x))+1/8/arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+1/8*a*x/arccos(a*x)+1/8*Si(arccos(a*x)))","A"
63,1,43,57,0.038000," ","int(x/arccos(a*x)^3,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{4 \arccos \left(a x \right)^{2}}+\frac{\cos \left(2 \arccos \left(a x \right)\right)}{2 \arccos \left(a x \right)}+\Si \left(2 \arccos \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(1/4/arccos(a*x)^2*sin(2*arccos(a*x))+1/2/arccos(a*x)*cos(2*arccos(a*x))+Si(2*arccos(a*x)))","A"
64,1,43,43,0.041000," ","int(1/arccos(a*x)^3,x)","\frac{\frac{\sqrt{-a^{2} x^{2}+1}}{2 \arccos \left(a x \right)^{2}}+\frac{a x}{2 \arccos \left(a x \right)}+\frac{\Si \left(\arccos \left(a x \right)\right)}{2}}{a}"," ",0,"1/a*(1/2/arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+1/2*a*x/arccos(a*x)+1/2*Si(arccos(a*x)))","A"
65,0,0,12,0.210000," ","int(1/x/arccos(a*x)^3,x)","\int \frac{1}{x \arccos \left(a x \right)^{3}}\, dx"," ",0,"int(1/x/arccos(a*x)^3,x)","F"
66,0,0,12,0.327000," ","int(1/x^2/arccos(a*x)^3,x)","\int \frac{1}{x^{2} \arccos \left(a x \right)^{3}}\, dx"," ",0,"int(1/x^2/arccos(a*x)^3,x)","F"
67,1,171,138,0.143000," ","int(x^4/arccos(a*x)^4,x)","\frac{\frac{\sqrt{-a^{2} x^{2}+1}}{24 \arccos \left(a x \right)^{3}}+\frac{a x}{48 \arccos \left(a x \right)^{2}}-\frac{\sqrt{-a^{2} x^{2}+1}}{48 \arccos \left(a x \right)}+\frac{\Ci \left(\arccos \left(a x \right)\right)}{48}+\frac{\sin \left(3 \arccos \left(a x \right)\right)}{16 \arccos \left(a x \right)^{3}}+\frac{3 \cos \left(3 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)^{2}}-\frac{9 \sin \left(3 \arccos \left(a x \right)\right)}{32 \arccos \left(a x \right)}+\frac{27 \Ci \left(3 \arccos \left(a x \right)\right)}{32}+\frac{\sin \left(5 \arccos \left(a x \right)\right)}{48 \arccos \left(a x \right)^{3}}+\frac{5 \cos \left(5 \arccos \left(a x \right)\right)}{96 \arccos \left(a x \right)^{2}}-\frac{25 \sin \left(5 \arccos \left(a x \right)\right)}{96 \arccos \left(a x \right)}+\frac{125 \Ci \left(5 \arccos \left(a x \right)\right)}{96}}{a^{5}}"," ",0,"1/a^5*(1/24/arccos(a*x)^3*(-a^2*x^2+1)^(1/2)+1/48*a*x/arccos(a*x)^2-1/48/arccos(a*x)*(-a^2*x^2+1)^(1/2)+1/48*Ci(arccos(a*x))+1/16/arccos(a*x)^3*sin(3*arccos(a*x))+3/32/arccos(a*x)^2*cos(3*arccos(a*x))-9/32/arccos(a*x)*sin(3*arccos(a*x))+27/32*Ci(3*arccos(a*x))+1/48/arccos(a*x)^3*sin(5*arccos(a*x))+5/96/arccos(a*x)^2*cos(5*arccos(a*x))-25/96/arccos(a*x)*sin(5*arccos(a*x))+125/96*Ci(5*arccos(a*x)))","A"
68,1,114,125,0.122000," ","int(x^3/arccos(a*x)^4,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{12 \arccos \left(a x \right)^{3}}+\frac{\cos \left(2 \arccos \left(a x \right)\right)}{12 \arccos \left(a x \right)^{2}}-\frac{\sin \left(2 \arccos \left(a x \right)\right)}{6 \arccos \left(a x \right)}+\frac{\Ci \left(2 \arccos \left(a x \right)\right)}{3}+\frac{\sin \left(4 \arccos \left(a x \right)\right)}{24 \arccos \left(a x \right)^{3}}+\frac{\cos \left(4 \arccos \left(a x \right)\right)}{12 \arccos \left(a x \right)^{2}}-\frac{\sin \left(4 \arccos \left(a x \right)\right)}{3 \arccos \left(a x \right)}+\frac{4 \Ci \left(4 \arccos \left(a x \right)\right)}{3}}{a^{4}}"," ",0,"1/a^4*(1/12/arccos(a*x)^3*sin(2*arccos(a*x))+1/12/arccos(a*x)^2*cos(2*arccos(a*x))-1/6/arccos(a*x)*sin(2*arccos(a*x))+1/3*Ci(2*arccos(a*x))+1/24/arccos(a*x)^3*sin(4*arccos(a*x))+1/12/arccos(a*x)^2*cos(4*arccos(a*x))-1/3/arccos(a*x)*sin(4*arccos(a*x))+4/3*Ci(4*arccos(a*x)))","A"
69,1,117,121,0.044000," ","int(x^2/arccos(a*x)^4,x)","\frac{\frac{\sqrt{-a^{2} x^{2}+1}}{12 \arccos \left(a x \right)^{3}}+\frac{a x}{24 \arccos \left(a x \right)^{2}}-\frac{\sqrt{-a^{2} x^{2}+1}}{24 \arccos \left(a x \right)}+\frac{\Ci \left(\arccos \left(a x \right)\right)}{24}+\frac{\sin \left(3 \arccos \left(a x \right)\right)}{12 \arccos \left(a x \right)^{3}}+\frac{\cos \left(3 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)^{2}}-\frac{3 \sin \left(3 \arccos \left(a x \right)\right)}{8 \arccos \left(a x \right)}+\frac{9 \Ci \left(3 \arccos \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(1/12/arccos(a*x)^3*(-a^2*x^2+1)^(1/2)+1/24*a*x/arccos(a*x)^2-1/24/arccos(a*x)*(-a^2*x^2+1)^(1/2)+1/24*Ci(arccos(a*x))+1/12/arccos(a*x)^3*sin(3*arccos(a*x))+1/8/arccos(a*x)^2*cos(3*arccos(a*x))-3/8/arccos(a*x)*sin(3*arccos(a*x))+9/8*Ci(3*arccos(a*x)))","A"
70,1,60,83,0.037000," ","int(x/arccos(a*x)^4,x)","\frac{\frac{\sin \left(2 \arccos \left(a x \right)\right)}{6 \arccos \left(a x \right)^{3}}+\frac{\cos \left(2 \arccos \left(a x \right)\right)}{6 \arccos \left(a x \right)^{2}}-\frac{\sin \left(2 \arccos \left(a x \right)\right)}{3 \arccos \left(a x \right)}+\frac{2 \Ci \left(2 \arccos \left(a x \right)\right)}{3}}{a^{2}}"," ",0,"1/a^2*(1/6/arccos(a*x)^3*sin(2*arccos(a*x))+1/6/arccos(a*x)^2*cos(2*arccos(a*x))-1/3/arccos(a*x)*sin(2*arccos(a*x))+2/3*Ci(2*arccos(a*x)))","A"
71,1,63,66,0.036000," ","int(1/arccos(a*x)^4,x)","\frac{\frac{\sqrt{-a^{2} x^{2}+1}}{3 \arccos \left(a x \right)^{3}}+\frac{a x}{6 \arccos \left(a x \right)^{2}}-\frac{\sqrt{-a^{2} x^{2}+1}}{6 \arccos \left(a x \right)}+\frac{\Ci \left(\arccos \left(a x \right)\right)}{6}}{a}"," ",0,"1/a*(1/3/arccos(a*x)^3*(-a^2*x^2+1)^(1/2)+1/6*a*x/arccos(a*x)^2-1/6/arccos(a*x)*(-a^2*x^2+1)^(1/2)+1/6*Ci(arccos(a*x)))","A"
72,0,0,12,0.207000," ","int(1/x/arccos(a*x)^4,x)","\int \frac{1}{x \arccos \left(a x \right)^{4}}\, dx"," ",0,"int(1/x/arccos(a*x)^4,x)","F"
73,0,0,12,0.347000," ","int(1/x^2/arccos(a*x)^4,x)","\int \frac{1}{x^{2} \arccos \left(a x \right)^{4}}\, dx"," ",0,"int(1/x^2/arccos(a*x)^4,x)","F"
74,1,143,87,0.307000," ","int(x^4*arccos(a*x)^(1/2),x)","\frac{-3 \sqrt{5}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-25 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-150 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+300 a x \arccos \left(a x \right)+150 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)+30 \arccos \left(a x \right) \cos \left(5 \arccos \left(a x \right)\right)}{2400 a^{5} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/2400/a^5/arccos(a*x)^(1/2)*(-3*5^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))-25*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))-150*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+300*a*x*arccos(a*x)+150*arccos(a*x)*cos(3*arccos(a*x))+30*arccos(a*x)*cos(5*arccos(a*x)))","A"
75,1,91,69,0.250000," ","int(x^3*arccos(a*x)^(1/2),x)","\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-8 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+16 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)+4 \arccos \left(a x \right) \cos \left(4 \arccos \left(a x \right)\right)}{128 a^{4} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/128/a^4/arccos(a*x)^(1/2)*(-2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-8*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))+16*arccos(a*x)*cos(2*arccos(a*x))+4*arccos(a*x)*cos(4*arccos(a*x)))","A"
76,1,96,62,0.201000," ","int(x^2*arccos(a*x)^(1/2),x)","\frac{-\sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-9 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+18 a x \arccos \left(a x \right)+6 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)}{72 a^{3} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/72/a^3/arccos(a*x)^(1/2)*(-3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))-9*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+18*a*x*arccos(a*x)+6*arccos(a*x)*cos(3*arccos(a*x)))","A"
77,1,42,43,0.164000," ","int(x*arccos(a*x)^(1/2),x)","-\frac{-2 \cos \left(2 \arccos \left(a x \right)\right) \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+\pi  \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)}{8 a^{2} \sqrt{\pi}}"," ",0,"-1/8/a^2/Pi^(1/2)*(-2*cos(2*arccos(a*x))*Pi^(1/2)*arccos(a*x)^(1/2)+Pi*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2)))","A"
78,1,49,34,0.146000," ","int(arccos(a*x)^(1/2),x)","\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+2 a x \arccos \left(a x \right)}{2 a \sqrt{\arccos \left(a x \right)}}"," ",0,"1/2/a/arccos(a*x)^(1/2)*(-2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+2*a*x*arccos(a*x))","A"
79,0,0,12,0.219000," ","int(arccos(a*x)^(1/2)/x,x)","\int \frac{\sqrt{\arccos \left(a x \right)}}{x}\, dx"," ",0,"int(arccos(a*x)^(1/2)/x,x)","F"
80,1,193,162,0.286000," ","int(x^4*arccos(a*x)^(3/2),x)","\frac{9 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{5}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+125 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+3000 a x \arccos \left(a x \right)^{2}+2250 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+300 \arccos \left(a x \right)^{2} \cos \left(5 \arccos \left(a x \right)\right)+1500 \arccos \left(a x \right)^{2} \cos \left(3 \arccos \left(a x \right)\right)-4500 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}-750 \arccos \left(a x \right) \sin \left(3 \arccos \left(a x \right)\right)-90 \arccos \left(a x \right) \sin \left(5 \arccos \left(a x \right)\right)}{24000 a^{5} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/24000/a^5*(9*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))*5^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)+125*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)+3000*a*x*arccos(a*x)^2+2250*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)+300*arccos(a*x)^2*cos(5*arccos(a*x))+1500*arccos(a*x)^2*cos(3*arccos(a*x))-4500*arccos(a*x)*(-a^2*x^2+1)^(1/2)-750*arccos(a*x)*sin(3*arccos(a*x))-90*arccos(a*x)*sin(5*arccos(a*x)))/arccos(a*x)^(1/2)","A"
81,1,121,119,0.248000," ","int(x^3*arccos(a*x)^(3/2),x)","\frac{3 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+128 \arccos \left(a x \right)^{2} \cos \left(2 \arccos \left(a x \right)\right)+32 \arccos \left(a x \right)^{2} \cos \left(4 \arccos \left(a x \right)\right)+48 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-96 \arccos \left(a x \right) \sin \left(2 \arccos \left(a x \right)\right)-12 \arccos \left(a x \right) \sin \left(4 \arccos \left(a x \right)\right)}{1024 a^{4} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/1024/a^4*(3*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelS(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+128*arccos(a*x)^2*cos(2*arccos(a*x))+32*arccos(a*x)^2*cos(4*arccos(a*x))+48*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2))-96*arccos(a*x)*sin(2*arccos(a*x))-12*arccos(a*x)*sin(4*arccos(a*x)))/arccos(a*x)^(1/2)","A"
82,1,130,111,0.235000," ","int(x^2*arccos(a*x)^(3/2),x)","\frac{\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+36 a x \arccos \left(a x \right)^{2}+27 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+12 \arccos \left(a x \right)^{2} \cos \left(3 \arccos \left(a x \right)\right)-54 \arccos \left(a x \right) \sqrt{-a^{2} x^{2}+1}-6 \arccos \left(a x \right) \sin \left(3 \arccos \left(a x \right)\right)}{144 a^{3} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/144/a^3*(FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)+36*a*x*arccos(a*x)^2+27*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)+12*arccos(a*x)^2*cos(3*arccos(a*x))-54*arccos(a*x)*(-a^2*x^2+1)^(1/2)-6*arccos(a*x)*sin(3*arccos(a*x)))/arccos(a*x)^(1/2)","A"
83,1,64,67,0.173000," ","int(x*arccos(a*x)^(3/2),x)","\frac{8 \arccos \left(a x \right)^{2} \cos \left(2 \arccos \left(a x \right)\right)+3 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-6 \arccos \left(a x \right) \sin \left(2 \arccos \left(a x \right)\right)}{32 a^{2} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/32/a^2*(8*arccos(a*x)^2*cos(2*arccos(a*x))+3*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2))-6*arccos(a*x)*sin(2*arccos(a*x)))/arccos(a*x)^(1/2)","A"
84,1,72,57,0.131000," ","int(arccos(a*x)^(3/2),x)","\frac{\sqrt{2}\, \left(2 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a -3 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}+3 \pi  \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{4 a \sqrt{\pi}}"," ",0,"1/4/a*2^(1/2)/Pi^(1/2)*(2*arccos(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a-3*2^(1/2)*arccos(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)+3*Pi*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2)))","A"
85,0,0,12,0.229000," ","int(arccos(a*x)^(3/2)/x,x)","\int \frac{\arccos \left(a x \right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int(arccos(a*x)^(3/2)/x,x)","F"
86,1,233,199,0.299000," ","int(x^4*arccos(a*x)^(5/2),x)","\frac{27 \sqrt{5}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+18000 a x \arccos \left(a x \right)^{3}+625 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+9000 \arccos \left(a x \right)^{3} \cos \left(3 \arccos \left(a x \right)\right)+1800 \arccos \left(a x \right)^{3} \cos \left(5 \arccos \left(a x \right)\right)+33750 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-45000 \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}-7500 \arccos \left(a x \right)^{2} \sin \left(3 \arccos \left(a x \right)\right)-900 \arccos \left(a x \right)^{2} \sin \left(5 \arccos \left(a x \right)\right)-67500 a x \arccos \left(a x \right)-3750 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)-270 \arccos \left(a x \right) \cos \left(5 \arccos \left(a x \right)\right)}{144000 a^{5} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/144000/a^5*(27*5^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))+18000*a*x*arccos(a*x)^3+625*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+9000*arccos(a*x)^3*cos(3*arccos(a*x))+1800*arccos(a*x)^3*cos(5*arccos(a*x))+33750*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-45000*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)-7500*arccos(a*x)^2*sin(3*arccos(a*x))-900*arccos(a*x)^2*sin(5*arccos(a*x))-67500*a*x*arccos(a*x)-3750*arccos(a*x)*cos(3*arccos(a*x))-270*arccos(a*x)*cos(5*arccos(a*x)))/arccos(a*x)^(1/2)","A"
87,1,154,155,0.264000," ","int(x^3*arccos(a*x)^(5/2),x)","\frac{1024 \arccos \left(a x \right)^{\frac{5}{2}} \sqrt{\pi}\, \cos \left(2 \arccos \left(a x \right)\right)+256 \arccos \left(a x \right)^{\frac{5}{2}} \sqrt{\pi}\, \cos \left(4 \arccos \left(a x \right)\right)-1280 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, \sin \left(2 \arccos \left(a x \right)\right)-160 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, \sin \left(4 \arccos \left(a x \right)\right)+15 \pi  \sqrt{2}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+480 \pi  \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-960 \cos \left(2 \arccos \left(a x \right)\right) \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}-60 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \cos \left(4 \arccos \left(a x \right)\right)}{8192 a^{4} \sqrt{\pi}}"," ",0,"1/8192/a^4/Pi^(1/2)*(1024*arccos(a*x)^(5/2)*Pi^(1/2)*cos(2*arccos(a*x))+256*arccos(a*x)^(5/2)*Pi^(1/2)*cos(4*arccos(a*x))-1280*arccos(a*x)^(3/2)*Pi^(1/2)*sin(2*arccos(a*x))-160*arccos(a*x)^(3/2)*Pi^(1/2)*sin(4*arccos(a*x))+15*Pi*2^(1/2)*FresnelC(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+480*Pi*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))-960*cos(2*arccos(a*x))*Pi^(1/2)*arccos(a*x)^(1/2)-60*Pi^(1/2)*arccos(a*x)^(1/2)*cos(4*arccos(a*x)))","A"
88,1,156,134,0.235000," ","int(x^2*arccos(a*x)^(5/2),x)","\frac{216 a x \arccos \left(a x \right)^{3}+5 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+72 \arccos \left(a x \right)^{3} \cos \left(3 \arccos \left(a x \right)\right)+405 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-540 \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}-60 \arccos \left(a x \right)^{2} \sin \left(3 \arccos \left(a x \right)\right)-810 a x \arccos \left(a x \right)-30 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)}{864 a^{3} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/864/a^3*(216*a*x*arccos(a*x)^3+5*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+72*arccos(a*x)^3*cos(3*arccos(a*x))+405*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-540*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)-60*arccos(a*x)^2*sin(3*arccos(a*x))-810*a*x*arccos(a*x)-30*arccos(a*x)*cos(3*arccos(a*x)))/arccos(a*x)^(1/2)","A"
89,1,79,89,0.176000," ","int(x*arccos(a*x)^(5/2),x)","\frac{32 \arccos \left(a x \right)^{\frac{5}{2}} \sqrt{\pi}\, \cos \left(2 \arccos \left(a x \right)\right)-40 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, \sin \left(2 \arccos \left(a x \right)\right)-30 \cos \left(2 \arccos \left(a x \right)\right) \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}+15 \pi  \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)}{128 a^{2} \sqrt{\pi}}"," ",0,"1/128/a^2/Pi^(1/2)*(32*arccos(a*x)^(5/2)*Pi^(1/2)*cos(2*arccos(a*x))-40*arccos(a*x)^(3/2)*Pi^(1/2)*sin(2*arccos(a*x))-30*cos(2*arccos(a*x))*Pi^(1/2)*arccos(a*x)^(1/2)+15*Pi*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2)))","A"
90,1,88,66,0.139000," ","int(arccos(a*x)^(5/2),x)","\frac{\sqrt{2}\, \left(4 \arccos \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, x a -10 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}-15 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}\, \sqrt{\pi}\, x a +15 \pi  \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{8 a \sqrt{\pi}}"," ",0,"1/8/a*2^(1/2)/Pi^(1/2)*(4*arccos(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*x*a-10*arccos(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)-15*2^(1/2)*arccos(a*x)^(1/2)*Pi^(1/2)*x*a+15*Pi*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2)))","A"
91,0,0,12,0.202000," ","int(arccos(a*x)^(5/2)/x,x)","\int \frac{\arccos \left(a x \right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int(arccos(a*x)^(5/2)/x,x)","F"
92,1,72,76,0.196000," ","int(x^4/arccos(a*x)^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(5 \sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+\sqrt{5}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+10 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{80 a^{5}}"," ",0,"-1/80/a^5*2^(1/2)*Pi^(1/2)*(5*3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+5^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))+10*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2)))","A"
93,1,43,47,0.192000," ","int(x^3/arccos(a*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \left(\sqrt{2}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+4 \,\mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{16 a^{4}}"," ",0,"-1/16/a^4*Pi^(1/2)*(2^(1/2)*FresnelS(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+4*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2)))","A"
94,1,50,51,0.170000," ","int(x^2/arccos(a*x)^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+3 \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{12 a^{3}}"," ",0,"-1/12/a^3*2^(1/2)*Pi^(1/2)*(3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+3*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2)))","A"
95,1,21,20,0.115000," ","int(x/arccos(a*x)^(1/2),x)","-\frac{\mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\pi}}{2 a^{2}}"," ",0,"-1/2*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2))*Pi^(1/2)/a^2","A"
96,1,26,25,0.060000," ","int(1/arccos(a*x)^(1/2),x)","-\frac{\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}}{a}"," ",0,"-FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*2^(1/2)*Pi^(1/2)/a","A"
97,0,0,12,0.177000," ","int(1/x/arccos(a*x)^(1/2),x)","\int \frac{1}{x \sqrt{\arccos \left(a x \right)}}\, dx"," ",0,"int(1/x/arccos(a*x)^(1/2),x)","F"
98,0,0,12,0.482000," ","int(1/x^2/arccos(a*x)^(1/2),x)","\int \frac{1}{x^{2} \sqrt{\arccos \left(a x \right)}}\, dx"," ",0,"int(1/x^2/arccos(a*x)^(1/2),x)","F"
99,1,182,127,0.329000," ","int(x^6/arccos(a*x)^(3/2),x)","\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{7}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{7}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arccos \left(a x \right)}-5 \sqrt{5}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-9 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-5 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+5 \sqrt{-a^{2} x^{2}+1}+\sin \left(7 \arccos \left(a x \right)\right)+9 \sin \left(3 \arccos \left(a x \right)\right)+5 \sin \left(5 \arccos \left(a x \right)\right)}{32 a^{7} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/32/a^7/arccos(a*x)^(1/2)*(-2^(1/2)*Pi^(1/2)*7^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*7^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(1/2)-5*5^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))-9*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))-5*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+5*(-a^2*x^2+1)^(1/2)+sin(7*arccos(a*x))+9*sin(3*arccos(a*x))+5*sin(5*arccos(a*x)))","A"
100,1,121,99,0.260000," ","int(x^5/arccos(a*x)^(3/2),x)","\frac{-2 \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{6}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arccos \left(a x \right)}-8 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-10 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+5 \sin \left(2 \arccos \left(a x \right)\right)+4 \sin \left(4 \arccos \left(a x \right)\right)+\sin \left(6 \arccos \left(a x \right)\right)}{16 a^{6} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/16/a^6/arccos(a*x)^(1/2)*(-2*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*6^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(1/2)-8*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-10*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))+5*sin(2*arccos(a*x))+4*sin(4*arccos(a*x))+sin(6*arccos(a*x)))","A"
101,1,140,102,0.185000," ","int(x^4/arccos(a*x)^(3/2),x)","-\frac{\sqrt{5}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+3 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+2 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-2 \sqrt{-a^{2} x^{2}+1}-3 \sin \left(3 \arccos \left(a x \right)\right)-\sin \left(5 \arccos \left(a x \right)\right)}{8 a^{5} \sqrt{\arccos \left(a x \right)}}"," ",0,"-1/8/a^5*(5^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))+3*3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+2*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-2*(-a^2*x^2+1)^(1/2)-3*sin(3*arccos(a*x))-sin(5*arccos(a*x)))/arccos(a*x)^(1/2)","A"
102,1,81,73,0.200000," ","int(x^3/arccos(a*x)^(3/2),x)","\frac{-2 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-4 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+2 \sin \left(2 \arccos \left(a x \right)\right)+\sin \left(4 \arccos \left(a x \right)\right)}{4 a^{4} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/4/a^4/arccos(a*x)^(1/2)*(-2*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-4*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))+2*sin(2*arccos(a*x))+sin(4*arccos(a*x)))","A"
103,1,96,77,0.154000," ","int(x^2/arccos(a*x)^(3/2),x)","-\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+\sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-\sqrt{-a^{2} x^{2}+1}-\sin \left(3 \arccos \left(a x \right)\right)}{2 a^{3} \sqrt{\arccos \left(a x \right)}}"," ",0,"-1/2/a^3*(3^(1/2)*2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))+2^(1/2)*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-(-a^2*x^2+1)^(1/2)-sin(3*arccos(a*x)))/arccos(a*x)^(1/2)","A"
104,1,42,45,0.151000," ","int(x/arccos(a*x)^(3/2),x)","\frac{-2 \sqrt{\pi}\, \sqrt{\arccos \left(a x \right)}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+\sin \left(2 \arccos \left(a x \right)\right)}{a^{2} \sqrt{\arccos \left(a x \right)}}"," ",0,"1/a^2/arccos(a*x)^(1/2)*(-2*Pi^(1/2)*arccos(a*x)^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))+sin(2*arccos(a*x)))","A"
105,1,66,49,0.132000," ","int(1/arccos(a*x)^(3/2),x)","-\frac{\sqrt{2}\, \left(2 \arccos \left(a x \right) \pi  \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-\sqrt{2}\, \sqrt{\arccos \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{a \sqrt{\pi}\, \arccos \left(a x \right)}"," ",0,"-1/a*2^(1/2)/Pi^(1/2)/arccos(a*x)*(2*arccos(a*x)*Pi*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-2^(1/2)*arccos(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))","A"
106,0,0,12,0.199000," ","int(1/x/arccos(a*x)^(3/2),x)","\int \frac{1}{x \arccos \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/arccos(a*x)^(3/2),x)","F"
107,1,173,127,0.241000," ","int(x^4/arccos(a*x)^(5/2),x)","\frac{10 \sqrt{2}\, \sqrt{\pi}\, \sqrt{5}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+18 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+4 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+4 a x \arccos \left(a x \right)+18 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)+10 \arccos \left(a x \right) \cos \left(5 \arccos \left(a x \right)\right)+2 \sqrt{-a^{2} x^{2}+1}+3 \sin \left(3 \arccos \left(a x \right)\right)+\sin \left(5 \arccos \left(a x \right)\right)}{24 a^{5} \arccos \left(a x \right)^{\frac{3}{2}}}"," ",0,"1/24/a^5*(10*2^(1/2)*Pi^(1/2)*5^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+18*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+4*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+4*a*x*arccos(a*x)+18*arccos(a*x)*cos(3*arccos(a*x))+10*arccos(a*x)*cos(5*arccos(a*x))+2*(-a^2*x^2+1)^(1/2)+3*sin(3*arccos(a*x))+sin(5*arccos(a*x)))/arccos(a*x)^(3/2)","A"
108,1,107,98,0.217000," ","int(x^3/arccos(a*x)^(5/2),x)","\frac{16 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+16 \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+8 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)+8 \arccos \left(a x \right) \cos \left(4 \arccos \left(a x \right)\right)+2 \sin \left(2 \arccos \left(a x \right)\right)+\sin \left(4 \arccos \left(a x \right)\right)}{12 a^{4} \arccos \left(a x \right)^{\frac{3}{2}}}"," ",0,"1/12/a^4*(16*2^(1/2)*Pi^(1/2)*FresnelS(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+16*Pi^(1/2)*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2))*arccos(a*x)^(3/2)+8*arccos(a*x)*cos(2*arccos(a*x))+8*arccos(a*x)*cos(4*arccos(a*x))+2*sin(2*arccos(a*x))+sin(4*arccos(a*x)))/arccos(a*x)^(3/2)","A"
109,1,115,99,0.177000," ","int(x^2/arccos(a*x)^(5/2),x)","\frac{6 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+2 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+2 a x \arccos \left(a x \right)+6 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)+\sqrt{-a^{2} x^{2}+1}+\sin \left(3 \arccos \left(a x \right)\right)}{6 a^{3} \arccos \left(a x \right)^{\frac{3}{2}}}"," ",0,"1/6/a^3*(6*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+2*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(3/2)+2*a*x*arccos(a*x)+6*arccos(a*x)*cos(3*arccos(a*x))+(-a^2*x^2+1)^(1/2)+sin(3*arccos(a*x)))/arccos(a*x)^(3/2)","A"
110,1,56,67,0.145000," ","int(x/arccos(a*x)^(5/2),x)","\frac{8 \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{3}{2}}+4 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)+\sin \left(2 \arccos \left(a x \right)\right)}{3 a^{2} \arccos \left(a x \right)^{\frac{3}{2}}}"," ",0,"1/3/a^2*(8*Pi^(1/2)*FresnelS(2*arccos(a*x)^(1/2)/Pi^(1/2))*arccos(a*x)^(3/2)+4*arccos(a*x)*cos(2*arccos(a*x))+sin(2*arccos(a*x)))/arccos(a*x)^(3/2)","A"
111,1,83,58,0.174000," ","int(1/arccos(a*x)^(5/2),x)","\frac{\sqrt{2}\, \left(4 \pi  \arccos \left(a x \right)^{2} \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)+2 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a +\sqrt{2}\, \sqrt{\arccos \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{3 a \sqrt{\pi}\, \arccos \left(a x \right)^{2}}"," ",0,"1/3/a*2^(1/2)/Pi^(1/2)*(4*Pi*arccos(a*x)^2*FresnelS(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))+2*arccos(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a+2^(1/2)*arccos(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))/arccos(a*x)^2","A"
112,0,0,12,0.201000," ","int(1/x/arccos(a*x)^(5/2),x)","\int \frac{1}{x \arccos \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/arccos(a*x)^(5/2),x)","F"
113,1,225,179,0.248000," ","int(x^4/arccos(a*x)^(7/2),x)","-\frac{-100 \sqrt{2}\, \sqrt{\pi}\, \sqrt{5}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}-108 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}-8 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}+8 \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+108 \arccos \left(a x \right)^{2} \sin \left(3 \arccos \left(a x \right)\right)+100 \arccos \left(a x \right)^{2} \sin \left(5 \arccos \left(a x \right)\right)-4 a x \arccos \left(a x \right)-18 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)-10 \arccos \left(a x \right) \cos \left(5 \arccos \left(a x \right)\right)-6 \sqrt{-a^{2} x^{2}+1}-9 \sin \left(3 \arccos \left(a x \right)\right)-3 \sin \left(5 \arccos \left(a x \right)\right)}{120 a^{5} \arccos \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/120/a^5*(-100*2^(1/2)*Pi^(1/2)*5^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)-108*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)-8*2^(1/2)*Pi^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)+8*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+108*arccos(a*x)^2*sin(3*arccos(a*x))+100*arccos(a*x)^2*sin(5*arccos(a*x))-4*a*x*arccos(a*x)-18*arccos(a*x)*cos(3*arccos(a*x))-10*arccos(a*x)*cos(5*arccos(a*x))-6*(-a^2*x^2+1)^(1/2)-9*sin(3*arccos(a*x))-3*sin(5*arccos(a*x)))/arccos(a*x)^(5/2)","A"
114,1,139,148,0.203000," ","int(x^3/arccos(a*x)^(7/2),x)","-\frac{-128 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}-64 \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}+32 \sin \left(2 \arccos \left(a x \right)\right) \arccos \left(a x \right)^{2}+64 \sin \left(4 \arccos \left(a x \right)\right) \arccos \left(a x \right)^{2}-8 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)-8 \arccos \left(a x \right) \cos \left(4 \arccos \left(a x \right)\right)-6 \sin \left(2 \arccos \left(a x \right)\right)-3 \sin \left(4 \arccos \left(a x \right)\right)}{60 a^{4} \arccos \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/60/a^4*(-128*2^(1/2)*Pi^(1/2)*FresnelC(2*2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)-64*Pi^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))*arccos(a*x)^(5/2)+32*sin(2*arccos(a*x))*arccos(a*x)^2+64*sin(4*arccos(a*x))*arccos(a*x)^2-8*arccos(a*x)*cos(2*arccos(a*x))-8*arccos(a*x)*cos(4*arccos(a*x))-6*sin(2*arccos(a*x))-3*sin(4*arccos(a*x)))/arccos(a*x)^(5/2)","A"
115,1,154,149,0.185000," ","int(x^2/arccos(a*x)^(7/2),x)","-\frac{-36 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}-4 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}+4 \arccos \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+36 \arccos \left(a x \right)^{2} \sin \left(3 \arccos \left(a x \right)\right)-2 a x \arccos \left(a x \right)-6 \arccos \left(a x \right) \cos \left(3 \arccos \left(a x \right)\right)-3 \sqrt{-a^{2} x^{2}+1}-3 \sin \left(3 \arccos \left(a x \right)\right)}{30 a^{3} \arccos \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/30/a^3*(-36*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)-4*2^(1/2)*Pi^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))*arccos(a*x)^(5/2)+4*arccos(a*x)^2*(-a^2*x^2+1)^(1/2)+36*arccos(a*x)^2*sin(3*arccos(a*x))-2*a*x*arccos(a*x)-6*arccos(a*x)*cos(3*arccos(a*x))-3*(-a^2*x^2+1)^(1/2)-3*sin(3*arccos(a*x)))/arccos(a*x)^(5/2)","A"
116,1,73,91,0.161000," ","int(x/arccos(a*x)^(7/2),x)","-\frac{-32 \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right) \arccos \left(a x \right)^{\frac{5}{2}}+16 \sin \left(2 \arccos \left(a x \right)\right) \arccos \left(a x \right)^{2}-4 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)-3 \sin \left(2 \arccos \left(a x \right)\right)}{15 a^{2} \arccos \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/15/a^2*(-32*Pi^(1/2)*FresnelC(2*arccos(a*x)^(1/2)/Pi^(1/2))*arccos(a*x)^(5/2)+16*sin(2*arccos(a*x))*arccos(a*x)^2-4*arccos(a*x)*cos(2*arccos(a*x))-3*sin(2*arccos(a*x)))/arccos(a*x)^(5/2)","A"
117,1,110,81,0.162000," ","int(1/arccos(a*x)^(7/2),x)","\frac{\sqrt{2}\, \left(8 \pi  \arccos \left(a x \right)^{3} \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(a x \right)}}{\sqrt{\pi}}\right)-4 \arccos \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}+2 \arccos \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a +3 \sqrt{2}\, \sqrt{\arccos \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{15 a \sqrt{\pi}\, \arccos \left(a x \right)^{3}}"," ",0,"1/15/a*2^(1/2)/Pi^(1/2)*(8*Pi*arccos(a*x)^3*FresnelC(2^(1/2)/Pi^(1/2)*arccos(a*x)^(1/2))-4*arccos(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)+2*arccos(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a+3*2^(1/2)*arccos(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))/arccos(a*x)^3","A"
118,0,0,12,0.206000," ","int(1/x/arccos(a*x)^(7/2),x)","\int \frac{1}{x \arccos \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/x/arccos(a*x)^(7/2),x)","F"
119,0,0,62,1.119000," ","int((b*x)^m*arccos(a*x)^4,x)","\int \left(b x \right)^{m} \arccos \left(a x \right)^{4}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^4,x)","F"
120,0,0,62,0.841000," ","int((b*x)^m*arccos(a*x)^3,x)","\int \left(b x \right)^{m} \arccos \left(a x \right)^{3}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^3,x)","F"
121,0,0,132,1.484000," ","int((b*x)^m*arccos(a*x)^2,x)","\int \left(b x \right)^{m} \arccos \left(a x \right)^{2}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^2,x)","F"
122,0,0,64,1.595000," ","int((b*x)^m*arccos(a*x),x)","\int \left(b x \right)^{m} \arccos \left(a x \right)\, dx"," ",0,"int((b*x)^m*arccos(a*x),x)","F"
123,0,0,14,0.824000," ","int((b*x)^m/arccos(a*x),x)","\int \frac{\left(b x \right)^{m}}{\arccos \left(a x \right)}\, dx"," ",0,"int((b*x)^m/arccos(a*x),x)","F"
124,0,0,14,1.046000," ","int((b*x)^m/arccos(a*x)^2,x)","\int \frac{\left(b x \right)^{m}}{\arccos \left(a x \right)^{2}}\, dx"," ",0,"int((b*x)^m/arccos(a*x)^2,x)","F"
125,0,0,14,0.169000," ","int((b*x)^m*arccos(a*x)^(3/2),x)","\int \left(b x \right)^{m} \arccos \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^(3/2),x)","F"
126,0,0,14,0.140000," ","int((b*x)^m*arccos(a*x)^(1/2),x)","\int \left(b x \right)^{m} \sqrt{\arccos \left(a x \right)}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^(1/2),x)","F"
127,0,0,14,0.161000," ","int((b*x)^m/arccos(a*x)^(1/2),x)","\int \frac{\left(b x \right)^{m}}{\sqrt{\arccos \left(a x \right)}}\, dx"," ",0,"int((b*x)^m/arccos(a*x)^(1/2),x)","F"
128,0,0,14,0.138000," ","int((b*x)^m/arccos(a*x)^(3/2),x)","\int \frac{\left(b x \right)^{m}}{\arccos \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x)^m/arccos(a*x)^(3/2),x)","F"
129,0,0,14,1.234000," ","int((b*x)^m*arccos(a*x)^n,x)","\int \left(b x \right)^{m} \arccos \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^m*arccos(a*x)^n,x)","F"
130,1,287,161,0.546000," ","int(x^3*arccos(a*x)^n,x)","-\frac{\sqrt{\pi}\, \left(\frac{2 \arccos \left(a x \right)^{1+n} \sin \left(2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{2^{\frac{1}{2}-n} \sqrt{\arccos \left(a x \right)}\, \LommelS1 \left(n +\frac{3}{2}, \frac{3}{2}, 2 \arccos \left(a x \right)\right) \sin \left(2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{3 \,2^{-\frac{3}{2}-n} \left(\frac{4}{3}+\frac{2 n}{3}\right) \left(2 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)-\sin \left(2 \arccos \left(a x \right)\right)\right) \LommelS1 \left(n +\frac{1}{2}, \frac{1}{2}, 2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right) \sqrt{\arccos \left(a x \right)}}\right)}{8 a^{4}}-\frac{2^{-5-n} \sqrt{\pi}\, \left(\frac{2^{2+n} \arccos \left(a x \right)^{1+n} \sin \left(4 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{2^{1-n} \sqrt{\arccos \left(a x \right)}\, \LommelS1 \left(n +\frac{3}{2}, \frac{3}{2}, 4 \arccos \left(a x \right)\right) \sin \left(4 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{3 \,2^{-2-n} \left(\frac{4}{3}+\frac{2 n}{3}\right) \left(4 \arccos \left(a x \right) \cos \left(4 \arccos \left(a x \right)\right)-\sin \left(4 \arccos \left(a x \right)\right)\right) \LommelS1 \left(n +\frac{1}{2}, \frac{1}{2}, 4 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right) \sqrt{\arccos \left(a x \right)}}\right)}{a^{4}}"," ",0,"-1/8*Pi^(1/2)/a^4*(2/Pi^(1/2)/(2+n)*arccos(a*x)^(1+n)*sin(2*arccos(a*x))-2^(1/2-n)/Pi^(1/2)/(2+n)*arccos(a*x)^(1/2)*LommelS1(n+3/2,3/2,2*arccos(a*x))*sin(2*arccos(a*x))-3*2^(-3/2-n)/Pi^(1/2)/(2+n)/arccos(a*x)^(1/2)*(4/3+2/3*n)*(2*arccos(a*x)*cos(2*arccos(a*x))-sin(2*arccos(a*x)))*LommelS1(n+1/2,1/2,2*arccos(a*x)))-2^(-5-n)*Pi^(1/2)/a^4*(2^(2+n)/Pi^(1/2)/(2+n)*arccos(a*x)^(1+n)*sin(4*arccos(a*x))-2^(1-n)/Pi^(1/2)/(2+n)*arccos(a*x)^(1/2)*LommelS1(n+3/2,3/2,4*arccos(a*x))*sin(4*arccos(a*x))-3*2^(-2-n)/Pi^(1/2)/(2+n)/arccos(a*x)^(1/2)*(4/3+2/3*n)*(4*arccos(a*x)*cos(4*arccos(a*x))-sin(4*arccos(a*x)))*LommelS1(n+1/2,1/2,4*arccos(a*x)))","C"
131,0,0,147,0.319000," ","int(x^2*arccos(a*x)^n,x)","\int x^{2} \arccos \left(a x \right)^{n}\, dx"," ",0,"int(x^2*arccos(a*x)^n,x)","F"
132,1,138,79,0.154000," ","int(x*arccos(a*x)^n,x)","-\frac{\sqrt{\pi}\, \left(\frac{2 \arccos \left(a x \right)^{1+n} \sin \left(2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{2^{\frac{1}{2}-n} \sqrt{\arccos \left(a x \right)}\, \LommelS1 \left(n +\frac{3}{2}, \frac{3}{2}, 2 \arccos \left(a x \right)\right) \sin \left(2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{3 \,2^{-\frac{3}{2}-n} \left(\frac{4}{3}+\frac{2 n}{3}\right) \left(2 \arccos \left(a x \right) \cos \left(2 \arccos \left(a x \right)\right)-\sin \left(2 \arccos \left(a x \right)\right)\right) \LommelS1 \left(n +\frac{1}{2}, \frac{1}{2}, 2 \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right) \sqrt{\arccos \left(a x \right)}}\right)}{4 a^{2}}"," ",0,"-1/4*Pi^(1/2)/a^2*(2/Pi^(1/2)/(2+n)*arccos(a*x)^(1+n)*sin(2*arccos(a*x))-2^(1/2-n)/Pi^(1/2)/(2+n)*arccos(a*x)^(1/2)*LommelS1(n+3/2,3/2,2*arccos(a*x))*sin(2*arccos(a*x))-3*2^(-3/2-n)/Pi^(1/2)/(2+n)/arccos(a*x)^(1/2)*(4/3+2/3*n)*(2*arccos(a*x)*cos(2*arccos(a*x))-sin(2*arccos(a*x)))*LommelS1(n+1/2,1/2,2*arccos(a*x)))","C"
133,1,148,67,0.116000," ","int(arccos(a*x)^n,x)","-\frac{2^{n} \sqrt{\pi}\, \left(\frac{\arccos \left(a x \right)^{1+n} 2^{-n} \sqrt{-a^{2} x^{2}+1}}{\sqrt{\pi}\, \left(2+n \right)}-\frac{2^{-n} \sqrt{\arccos \left(a x \right)}\, \LommelS1 \left(n +\frac{3}{2}, \frac{3}{2}, \arccos \left(a x \right)\right) \sqrt{-a^{2} x^{2}+1}}{\sqrt{\pi}\, \left(2+n \right)}-\frac{3 \,2^{-1-n} \left(\frac{4}{3}+\frac{2 n}{3}\right) \left(a x \arccos \left(a x \right)-\sqrt{-a^{2} x^{2}+1}\right) \LommelS1 \left(n +\frac{1}{2}, \frac{1}{2}, \arccos \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right) \sqrt{\arccos \left(a x \right)}}\right)}{a}"," ",0,"-2^n*Pi^(1/2)/a*(1/Pi^(1/2)/(2+n)*arccos(a*x)^(1+n)*2^(-n)*(-a^2*x^2+1)^(1/2)-2^(-n)/Pi^(1/2)/(2+n)*arccos(a*x)^(1/2)*LommelS1(n+3/2,3/2,arccos(a*x))*(-a^2*x^2+1)^(1/2)-3*2^(-1-n)/Pi^(1/2)/(2+n)/arccos(a*x)^(1/2)*(4/3+2/3*n)*(a*x*arccos(a*x)-(-a^2*x^2+1)^(1/2))*LommelS1(n+1/2,1/2,arccos(a*x)))","C"
134,0,0,12,0.234000," ","int(arccos(a*x)^n/x,x)","\int \frac{\arccos \left(a x \right)^{n}}{x}\, dx"," ",0,"int(arccos(a*x)^n/x,x)","F"
135,0,0,12,0.261000," ","int(arccos(a*x)^n/x^2,x)","\int \frac{\arccos \left(a x \right)^{n}}{x^{2}}\, dx"," ",0,"int(arccos(a*x)^n/x^2,x)","F"
136,0,0,14,0.197000," ","int((b*x)^(3/2)*arccos(a*x)^n,x)","\int \left(b x \right)^{\frac{3}{2}} \arccos \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^(3/2)*arccos(a*x)^n,x)","F"
137,0,0,14,0.181000," ","int(arccos(a*x)^n*(b*x)^(1/2),x)","\int \arccos \left(a x \right)^{n} \sqrt{b x}\, dx"," ",0,"int(arccos(a*x)^n*(b*x)^(1/2),x)","F"
138,0,0,14,0.181000," ","int(arccos(a*x)^n/(b*x)^(1/2),x)","\int \frac{\arccos \left(a x \right)^{n}}{\sqrt{b x}}\, dx"," ",0,"int(arccos(a*x)^n/(b*x)^(1/2),x)","F"
139,0,0,14,0.194000," ","int(arccos(a*x)^n/(b*x)^(3/2),x)","\int \frac{\arccos \left(a x \right)^{n}}{\left(b x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(arccos(a*x)^n/(b*x)^(3/2),x)","F"
140,1,72,64,0.023000," ","int(x^3*(a+b*arccos(c*x)),x)","\frac{\frac{c^{4} x^{4} a}{4}+b \left(\frac{c^{4} x^{4} \arccos \left(c x \right)}{4}-\frac{c^{3} x^{3} \sqrt{-c^{2} x^{2}+1}}{16}-\frac{3 c x \sqrt{-c^{2} x^{2}+1}}{32}+\frac{3 \arcsin \left(c x \right)}{32}\right)}{c^{4}}"," ",0,"1/c^4*(1/4*c^4*x^4*a+b*(1/4*c^4*x^4*arccos(c*x)-1/16*c^3*x^3*(-c^2*x^2+1)^(1/2)-3/32*c*x*(-c^2*x^2+1)^(1/2)+3/32*arcsin(c*x)))","A"
141,1,64,50,0.007000," ","int(x^2*(a+b*arccos(c*x)),x)","\frac{\frac{c^{3} x^{3} a}{3}+b \left(\frac{c^{3} x^{3} \arccos \left(c x \right)}{3}-\frac{c^{2} x^{2} \sqrt{-c^{2} x^{2}+1}}{9}-\frac{2 \sqrt{-c^{2} x^{2}+1}}{9}\right)}{c^{3}}"," ",0,"1/c^3*(1/3*c^3*x^3*a+b*(1/3*c^3*x^3*arccos(c*x)-1/9*c^2*x^2*(-c^2*x^2+1)^(1/2)-2/9*(-c^2*x^2+1)^(1/2)))","A"
142,1,52,43,0.006000," ","int(x*(a+b*arccos(c*x)),x)","\frac{\frac{c^{2} x^{2} a}{2}+b \left(\frac{c^{2} x^{2} \arccos \left(c x \right)}{2}-\frac{c x \sqrt{-c^{2} x^{2}+1}}{4}+\frac{\arcsin \left(c x \right)}{4}\right)}{c^{2}}"," ",0,"1/c^2*(1/2*c^2*x^2*a+b*(1/2*c^2*x^2*arccos(c*x)-1/4*c*x*(-c^2*x^2+1)^(1/2)+1/4*arcsin(c*x)))","A"
143,1,32,29,0.003000," ","int(a+b*arccos(c*x),x)","a x +\frac{b \left(c x \arccos \left(c x \right)-\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"a*x+b/c*(c*x*arccos(c*x)-(-c^2*x^2+1)^(1/2))","A"
144,1,77,79,0.039000," ","int((a+b*arccos(c*x))/x,x)","a \ln \left(c x \right)-\frac{i b \arccos \left(c x \right)^{2}}{2}+b \arccos \left(c x \right) \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)-\frac{i b \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}"," ",0,"a*ln(c*x)-1/2*I*b*arccos(c*x)^2+b*arccos(c*x)*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)-1/2*I*b*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)","A"
145,1,41,32,0.005000," ","int((a+b*arccos(c*x))/x^2,x)","c \left(-\frac{a}{c x}+b \left(-\frac{\arccos \left(c x \right)}{c x}+\arctanh \left(\frac{1}{\sqrt{-c^{2} x^{2}+1}}\right)\right)\right)"," ",0,"c*(-1/c/x*a+b*(-1/c/x*arccos(c*x)+arctanh(1/(-c^2*x^2+1)^(1/2))))","A"
146,1,50,36,0.006000," ","int((a+b*arccos(c*x))/x^3,x)","c^{2} \left(-\frac{a}{2 c^{2} x^{2}}+b \left(-\frac{\arccos \left(c x \right)}{2 c^{2} x^{2}}+\frac{\sqrt{-c^{2} x^{2}+1}}{2 c x}\right)\right)"," ",0,"c^2*(-1/2*a/c^2/x^2+b*(-1/2/c^2/x^2*arccos(c*x)+1/2/c/x*(-c^2*x^2+1)^(1/2)))","A"
147,1,65,55,0.005000," ","int((a+b*arccos(c*x))/x^4,x)","c^{3} \left(-\frac{a}{3 c^{3} x^{3}}+b \left(-\frac{\arccos \left(c x \right)}{3 c^{3} x^{3}}+\frac{\sqrt{-c^{2} x^{2}+1}}{6 c^{2} x^{2}}+\frac{\arctanh \left(\frac{1}{\sqrt{-c^{2} x^{2}+1}}\right)}{6}\right)\right)"," ",0,"c^3*(-1/3*a/c^3/x^3+b*(-1/3/c^3/x^3*arccos(c*x)+1/6/c^2/x^2*(-c^2*x^2+1)^(1/2)+1/6*arctanh(1/(-c^2*x^2+1)^(1/2))))","A"
148,1,126,88,0.054000," ","int(x^2*(a+b*arccos(c*x))^2,x)","\frac{\frac{c^{3} x^{3} a^{2}}{3}+b^{2} \left(\frac{\arccos \left(c x \right)^{2} c^{3} x^{3}}{3}-\frac{2 \arccos \left(c x \right) \left(c^{2} x^{2}+2\right) \sqrt{-c^{2} x^{2}+1}}{9}-\frac{2 c^{3} x^{3}}{27}-\frac{4 c x}{9}\right)+2 a b \left(\frac{c^{3} x^{3} \arccos \left(c x \right)}{3}-\frac{c^{2} x^{2} \sqrt{-c^{2} x^{2}+1}}{9}-\frac{2 \sqrt{-c^{2} x^{2}+1}}{9}\right)}{c^{3}}"," ",0,"1/c^3*(1/3*c^3*x^3*a^2+b^2*(1/3*arccos(c*x)^2*c^3*x^3-2/9*arccos(c*x)*(c^2*x^2+2)*(-c^2*x^2+1)^(1/2)-2/27*c^3*x^3-4/9*c*x)+2*a*b*(1/3*c^3*x^3*arccos(c*x)-1/9*c^2*x^2*(-c^2*x^2+1)^(1/2)-2/9*(-c^2*x^2+1)^(1/2)))","A"
149,1,118,66,0.062000," ","int(x*(a+b*arccos(c*x))^2,x)","\frac{\frac{c^{2} x^{2} a^{2}}{2}+b^{2} \left(\frac{c^{2} x^{2} \arccos \left(c x \right)^{2}}{2}-\frac{\arccos \left(c x \right) \left(c x \sqrt{-c^{2} x^{2}+1}+\arccos \left(c x \right)\right)}{2}+\frac{\arccos \left(c x \right)^{2}}{4}-\frac{c^{2} x^{2}}{4}+\frac{1}{4}\right)+2 a b \left(\frac{c^{2} x^{2} \arccos \left(c x \right)}{2}-\frac{c x \sqrt{-c^{2} x^{2}+1}}{4}+\frac{\arcsin \left(c x \right)}{4}\right)}{c^{2}}"," ",0,"1/c^2*(1/2*c^2*x^2*a^2+b^2*(1/2*c^2*x^2*arccos(c*x)^2-1/2*arccos(c*x)*(c*x*(-c^2*x^2+1)^(1/2)+arccos(c*x))+1/4*arccos(c*x)^2-1/4*c^2*x^2+1/4)+2*a*b*(1/2*c^2*x^2*arccos(c*x)-1/4*c*x*(-c^2*x^2+1)^(1/2)+1/4*arcsin(c*x)))","A"
150,1,74,45,0.057000," ","int((a+b*arccos(c*x))^2,x)","\frac{c x \,a^{2}+b^{2} \left(c x \arccos \left(c x \right)^{2}-2 c x -2 \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\right)+2 a b \left(c x \arccos \left(c x \right)-\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"1/c*(c*x*a^2+b^2*(c*x*arccos(c*x)^2-2*c*x-2*arccos(c*x)*(-c^2*x^2+1)^(1/2))+2*a*b*(c*x*arccos(c*x)-(-c^2*x^2+1)^(1/2)))","A"
151,1,194,119,0.094000," ","int((a+b*arccos(c*x))^2/x,x)","a^{2} \ln \left(c x \right)-\frac{i b^{2} \arccos \left(c x \right)^{3}}{3}+b^{2} \arccos \left(c x \right)^{2} \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)-i b^{2} \arccos \left(c x \right) \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)+\frac{b^{2} \polylog \left(3, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}-i a b \arccos \left(c x \right)^{2}-i a b \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)+2 a b \arccos \left(c x \right) \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)"," ",0,"a^2*ln(c*x)-1/3*I*b^2*arccos(c*x)^3+b^2*arccos(c*x)^2*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)-I*b^2*arccos(c*x)*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)+1/2*b^2*polylog(3,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)-I*a*b*arccos(c*x)^2-I*a*b*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)+2*a*b*arccos(c*x)*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)","A"
152,1,187,111,0.110000," ","int((a+b*arccos(c*x))^2/x^2,x)","-\frac{a^{2}}{x}-\frac{b^{2} \arccos \left(c x \right)^{2}}{x}-2 c \,b^{2} \arccos \left(c x \right) \ln \left(1+i \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)\right)+2 c \,b^{2} \arccos \left(c x \right) \ln \left(1-i \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)\right)+2 i c \,b^{2} \dilog \left(1+i \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)\right)-2 i c \,b^{2} \dilog \left(1-i \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)\right)-\frac{2 a b \arccos \left(c x \right)}{x}+2 c a b \arctanh \left(\frac{1}{\sqrt{-c^{2} x^{2}+1}}\right)"," ",0,"-a^2/x-b^2/x*arccos(c*x)^2-2*c*b^2*arccos(c*x)*ln(1+I*(c*x+I*(-c^2*x^2+1)^(1/2)))+2*c*b^2*arccos(c*x)*ln(1-I*(c*x+I*(-c^2*x^2+1)^(1/2)))+2*I*c*b^2*dilog(1+I*(c*x+I*(-c^2*x^2+1)^(1/2)))-2*I*c*b^2*dilog(1-I*(c*x+I*(-c^2*x^2+1)^(1/2)))-2*a*b/x*arccos(c*x)+2*c*a*b*arctanh(1/(-c^2*x^2+1)^(1/2))","A"
153,1,235,154,0.053000," ","int(x^2*(a+b*arccos(c*x))^3,x)","\frac{\frac{c^{3} x^{3} a^{3}}{3}+b^{3} \left(\frac{\arccos \left(c x \right)^{3} c^{3} x^{3}}{3}-\frac{\arccos \left(c x \right)^{2} \left(c^{2} x^{2}+2\right) \sqrt{-c^{2} x^{2}+1}}{3}+\frac{4 \sqrt{-c^{2} x^{2}+1}}{3}-\frac{4 c x \arccos \left(c x \right)}{3}-\frac{2 c^{3} x^{3} \arccos \left(c x \right)}{9}+\frac{2 \left(c^{2} x^{2}+2\right) \sqrt{-c^{2} x^{2}+1}}{27}\right)+3 a \,b^{2} \left(\frac{\arccos \left(c x \right)^{2} c^{3} x^{3}}{3}-\frac{2 \arccos \left(c x \right) \left(c^{2} x^{2}+2\right) \sqrt{-c^{2} x^{2}+1}}{9}-\frac{2 c^{3} x^{3}}{27}-\frac{4 c x}{9}\right)+3 a^{2} b \left(\frac{c^{3} x^{3} \arccos \left(c x \right)}{3}-\frac{c^{2} x^{2} \sqrt{-c^{2} x^{2}+1}}{9}-\frac{2 \sqrt{-c^{2} x^{2}+1}}{9}\right)}{c^{3}}"," ",0,"1/c^3*(1/3*c^3*x^3*a^3+b^3*(1/3*arccos(c*x)^3*c^3*x^3-1/3*arccos(c*x)^2*(c^2*x^2+2)*(-c^2*x^2+1)^(1/2)+4/3*(-c^2*x^2+1)^(1/2)-4/3*c*x*arccos(c*x)-2/9*c^3*x^3*arccos(c*x)+2/27*(c^2*x^2+2)*(-c^2*x^2+1)^(1/2))+3*a*b^2*(1/3*arccos(c*x)^2*c^3*x^3-2/9*arccos(c*x)*(c^2*x^2+2)*(-c^2*x^2+1)^(1/2)-2/27*c^3*x^3-4/9*c*x)+3*a^2*b*(1/3*c^3*x^3*arccos(c*x)-1/9*c^2*x^2*(-c^2*x^2+1)^(1/2)-2/9*(-c^2*x^2+1)^(1/2)))","A"
154,1,211,109,0.063000," ","int(x*(a+b*arccos(c*x))^3,x)","\frac{\frac{c^{2} x^{2} a^{3}}{2}+b^{3} \left(\frac{c^{2} x^{2} \arccos \left(c x \right)^{3}}{2}-\frac{3 \arccos \left(c x \right)^{2} \left(c x \sqrt{-c^{2} x^{2}+1}+\arccos \left(c x \right)\right)}{4}-\frac{3 c^{2} x^{2} \arccos \left(c x \right)}{4}+\frac{3 c x \sqrt{-c^{2} x^{2}+1}}{8}+\frac{3 \arccos \left(c x \right)}{8}+\frac{\arccos \left(c x \right)^{3}}{2}\right)+3 a \,b^{2} \left(\frac{c^{2} x^{2} \arccos \left(c x \right)^{2}}{2}-\frac{\arccos \left(c x \right) \left(c x \sqrt{-c^{2} x^{2}+1}+\arccos \left(c x \right)\right)}{2}+\frac{\arccos \left(c x \right)^{2}}{4}-\frac{c^{2} x^{2}}{4}+\frac{1}{4}\right)+3 a^{2} b \left(\frac{c^{2} x^{2} \arccos \left(c x \right)}{2}-\frac{c x \sqrt{-c^{2} x^{2}+1}}{4}+\frac{\arcsin \left(c x \right)}{4}\right)}{c^{2}}"," ",0,"1/c^2*(1/2*c^2*x^2*a^3+b^3*(1/2*c^2*x^2*arccos(c*x)^3-3/4*arccos(c*x)^2*(c*x*(-c^2*x^2+1)^(1/2)+arccos(c*x))-3/4*c^2*x^2*arccos(c*x)+3/8*c*x*(-c^2*x^2+1)^(1/2)+3/8*arccos(c*x)+1/2*arccos(c*x)^3)+3*a*b^2*(1/2*c^2*x^2*arccos(c*x)^2-1/2*arccos(c*x)*(c*x*(-c^2*x^2+1)^(1/2)+arccos(c*x))+1/4*arccos(c*x)^2-1/4*c^2*x^2+1/4)+3*a^2*b*(1/2*c^2*x^2*arccos(c*x)-1/4*c*x*(-c^2*x^2+1)^(1/2)+1/4*arcsin(c*x)))","A"
155,1,134,78,0.075000," ","int((a+b*arccos(c*x))^3,x)","\frac{c x \,a^{3}+b^{3} \left(c x \arccos \left(c x \right)^{3}-3 \arccos \left(c x \right)^{2} \sqrt{-c^{2} x^{2}+1}+6 \sqrt{-c^{2} x^{2}+1}-6 c x \arccos \left(c x \right)\right)+3 a \,b^{2} \left(c x \arccos \left(c x \right)^{2}-2 c x -2 \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\right)+3 a^{2} b \left(c x \arccos \left(c x \right)-\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"1/c*(c*x*a^3+b^3*(c*x*arccos(c*x)^3-3*arccos(c*x)^2*(-c^2*x^2+1)^(1/2)+6*(-c^2*x^2+1)^(1/2)-6*c*x*arccos(c*x))+3*a*b^2*(c*x*arccos(c*x)^2-2*c*x-2*arccos(c*x)*(-c^2*x^2+1)^(1/2))+3*a^2*b*(c*x*arccos(c*x)-(-c^2*x^2+1)^(1/2)))","A"
156,1,353,160,0.100000," ","int((a+b*arccos(c*x))^3/x,x)","a^{3} \ln \left(c x \right)-\frac{i b^{3} \arccos \left(c x \right)^{4}}{4}+b^{3} \arccos \left(c x \right)^{3} \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)-\frac{3 i b^{3} \arccos \left(c x \right)^{2} \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}+\frac{3 b^{3} \arccos \left(c x \right) \polylog \left(3, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}+\frac{3 i b^{3} \polylog \left(4, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{4}-i a \,b^{2} \arccos \left(c x \right)^{3}+3 a \,b^{2} \arccos \left(c x \right)^{2} \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)-3 i a \,b^{2} \arccos \left(c x \right) \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)+\frac{3 a \,b^{2} \polylog \left(3, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}-\frac{3 i a^{2} b \arccos \left(c x \right)^{2}}{2}+3 a^{2} b \arccos \left(c x \right) \ln \left(1+\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)-\frac{3 i a^{2} b \polylog \left(2, -\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2}\right)}{2}"," ",0,"a^3*ln(c*x)-1/4*I*b^3*arccos(c*x)^4+b^3*arccos(c*x)^3*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)-3/2*I*b^3*arccos(c*x)^2*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)+3/2*b^3*arccos(c*x)*polylog(3,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)+3/4*I*b^3*polylog(4,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)-I*a*b^2*arccos(c*x)^3+3*a*b^2*arccos(c*x)^2*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)-3*I*a*b^2*arccos(c*x)*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)+3/2*a*b^2*polylog(3,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)-3/2*I*a^2*b*arccos(c*x)^2+3*a^2*b*arccos(c*x)*ln(1+(c*x+I*(-c^2*x^2+1)^(1/2))^2)-3/2*I*a^2*b*polylog(2,-(c*x+I*(-c^2*x^2+1)^(1/2))^2)","B"
157,0,0,189,0.254000," ","int((a+b*arccos(c*x))^3/x^2,x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{3}}{x^{2}}\, dx"," ",0,"int((a+b*arccos(c*x))^3/x^2,x)","F"
158,1,102,113,0.044000," ","int(x^2/(a+b*arccos(c*x)),x)","\frac{-\frac{\Si \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right)}{4 b}+\frac{\Ci \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right)}{4 b}-\frac{\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{4 b}+\frac{\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{4 b}}{c^{3}}"," ",0,"1/c^3*(-1/4*Si(3*arccos(c*x)+3*a/b)*cos(3*a/b)/b+1/4*Ci(3*arccos(c*x)+3*a/b)*sin(3*a/b)/b-1/4*Si(arccos(c*x)+a/b)*cos(a/b)/b+1/4*Ci(arccos(c*x)+a/b)*sin(a/b)/b)","A"
159,1,58,59,0.047000," ","int(x/(a+b*arccos(c*x)),x)","\frac{-\frac{\Si \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right)}{2 b}+\frac{\Ci \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right)}{2 b}}{c^{2}}"," ",0,"1/c^2*(-1/2*Si(2*arccos(c*x)+2*a/b)*cos(2*a/b)/b+1/2*Ci(2*arccos(c*x)+2*a/b)*sin(2*a/b)/b)","A"
160,1,49,54,0.070000," ","int(1/(a+b*arccos(c*x)),x)","\frac{-\frac{\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{b}+\frac{\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{b}}{c}"," ",0,"1/c*(-Si(arccos(c*x)+a/b)*cos(a/b)/b+Ci(arccos(c*x)+a/b)*sin(a/b)/b)","A"
161,0,0,16,0.441000," ","int(1/x/(a+b*arccos(c*x)),x)","\int \frac{1}{x \left(a +b \arccos \left(c x \right)\right)}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x)),x)","F"
162,0,0,16,0.309000," ","int(1/x^2/(a+b*arccos(c*x)),x)","\int \frac{1}{x^{2} \left(a +b \arccos \left(c x \right)\right)}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x)),x)","F"
163,1,147,145,0.053000," ","int(x^2/(a+b*arccos(c*x))^2,x)","\frac{\frac{\sin \left(3 \arccos \left(c x \right)\right)}{4 \left(a +b \arccos \left(c x \right)\right) b}-\frac{3 \left(\Si \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right)+\Ci \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right)\right)}{4 b^{2}}+\frac{\sqrt{-c^{2} x^{2}+1}}{4 \left(a +b \arccos \left(c x \right)\right) b}-\frac{\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)+\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{4 b^{2}}}{c^{3}}"," ",0,"1/c^3*(1/4*sin(3*arccos(c*x))/(a+b*arccos(c*x))/b-3/4*(Si(3*arccos(c*x)+3*a/b)*sin(3*a/b)+Ci(3*arccos(c*x)+3*a/b)*cos(3*a/b))/b^2+1/4*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))/b-1/4*(Si(arccos(c*x)+a/b)*sin(a/b)+Ci(arccos(c*x)+a/b)*cos(a/b))/b^2)","A"
164,1,78,89,0.041000," ","int(x/(a+b*arccos(c*x))^2,x)","\frac{\frac{\sin \left(2 \arccos \left(c x \right)\right)}{2 \left(a +b \arccos \left(c x \right)\right) b}-\frac{\Si \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right)+\Ci \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right)}{b^{2}}}{c^{2}}"," ",0,"1/c^2*(1/2*sin(2*arccos(c*x))/(a+b*arccos(c*x))/b-(Si(2*arccos(c*x)+2*a/b)*sin(2*a/b)+Ci(2*arccos(c*x)+2*a/b)*cos(2*a/b))/b^2)","A"
165,1,74,84,0.075000," ","int(1/(a+b*arccos(c*x))^2,x)","\frac{\frac{\sqrt{-c^{2} x^{2}+1}}{\left(a +b \arccos \left(c x \right)\right) b}-\frac{\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)+\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{b^{2}}}{c}"," ",0,"1/c*((-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))/b-(Si(arccos(c*x)+a/b)*sin(a/b)+Ci(arccos(c*x)+a/b)*cos(a/b))/b^2)","A"
166,0,0,16,0.441000," ","int(1/x/(a+b*arccos(c*x))^2,x)","\int \frac{1}{x \left(a +b \arccos \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x))^2,x)","F"
167,0,0,16,0.352000," ","int(1/x^2/(a+b*arccos(c*x))^2,x)","\int \frac{1}{x^{2} \left(a +b \arccos \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x))^2,x)","F"
168,1,290,183,0.049000," ","int(x^2/(a+b*arccos(c*x))^3,x)","\frac{\frac{\sin \left(3 \arccos \left(c x \right)\right)}{8 \left(a +b \arccos \left(c x \right)\right)^{2} b}+\frac{\frac{9 \arccos \left(c x \right) \Si \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right) b}{8}-\frac{9 \arccos \left(c x \right) \Ci \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right) b}{8}+\frac{9 \Si \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right) a}{8}-\frac{9 \Ci \left(3 \arccos \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right) a}{8}+\frac{3 \cos \left(3 \arccos \left(c x \right)\right) b}{8}}{\left(a +b \arccos \left(c x \right)\right) b^{3}}+\frac{\sqrt{-c^{2} x^{2}+1}}{8 \left(a +b \arccos \left(c x \right)\right)^{2} b}+\frac{\arccos \left(c x \right) \Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) b -\arccos \left(c x \right) \Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) b +\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) a -\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) a +x b c}{8 \left(a +b \arccos \left(c x \right)\right) b^{3}}}{c^{3}}"," ",0,"1/c^3*(1/8*sin(3*arccos(c*x))/(a+b*arccos(c*x))^2/b+3/8*(3*arccos(c*x)*Si(3*arccos(c*x)+3*a/b)*cos(3*a/b)*b-3*arccos(c*x)*Ci(3*arccos(c*x)+3*a/b)*sin(3*a/b)*b+3*Si(3*arccos(c*x)+3*a/b)*cos(3*a/b)*a-3*Ci(3*arccos(c*x)+3*a/b)*sin(3*a/b)*a+cos(3*arccos(c*x))*b)/(a+b*arccos(c*x))/b^3+1/8*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^2/b+1/8*(arccos(c*x)*Si(arccos(c*x)+a/b)*cos(a/b)*b-arccos(c*x)*Ci(arccos(c*x)+a/b)*sin(a/b)*b+Si(arccos(c*x)+a/b)*cos(a/b)*a-Ci(arccos(c*x)+a/b)*sin(a/b)*a+x*b*c)/(a+b*arccos(c*x))/b^3)","A"
169,1,157,124,0.041000," ","int(x/(a+b*arccos(c*x))^3,x)","\frac{\frac{\sin \left(2 \arccos \left(c x \right)\right)}{4 \left(a +b \arccos \left(c x \right)\right)^{2} b}+\frac{2 \arccos \left(c x \right) \Si \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right) b -2 \arccos \left(c x \right) \Ci \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right) b +2 \Si \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right) a -2 \Ci \left(2 \arccos \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right) a +\cos \left(2 \arccos \left(c x \right)\right) b}{2 \left(a +b \arccos \left(c x \right)\right) b^{3}}}{c^{2}}"," ",0,"1/c^2*(1/4*sin(2*arccos(c*x))/(a+b*arccos(c*x))^2/b+1/2*(2*arccos(c*x)*Si(2*arccos(c*x)+2*a/b)*cos(2*a/b)*b-2*arccos(c*x)*Ci(2*arccos(c*x)+2*a/b)*sin(2*a/b)*b+2*Si(2*arccos(c*x)+2*a/b)*cos(2*a/b)*a-2*Ci(2*arccos(c*x)+2*a/b)*sin(2*a/b)*a+cos(2*arccos(c*x))*b)/(a+b*arccos(c*x))/b^3)","A"
170,1,139,101,0.081000," ","int(1/(a+b*arccos(c*x))^3,x)","\frac{\frac{\sqrt{-c^{2} x^{2}+1}}{2 \left(a +b \arccos \left(c x \right)\right)^{2} b}+\frac{\arccos \left(c x \right) \Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) b -\arccos \left(c x \right) \Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) b +\Si \left(\arccos \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) a -\Ci \left(\arccos \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) a +x b c}{2 \left(a +b \arccos \left(c x \right)\right) b^{3}}}{c}"," ",0,"1/c*(1/2*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^2/b+1/2*(arccos(c*x)*Si(arccos(c*x)+a/b)*cos(a/b)*b-arccos(c*x)*Ci(arccos(c*x)+a/b)*sin(a/b)*b+Si(arccos(c*x)+a/b)*cos(a/b)*a-Ci(arccos(c*x)+a/b)*sin(a/b)*a+x*b*c)/(a+b*arccos(c*x))/b^3)","A"
171,0,0,16,0.585000," ","int(1/x/(a+b*arccos(c*x))^3,x)","\int \frac{1}{x \left(a +b \arccos \left(c x \right)\right)^{3}}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x))^3,x)","F"
172,0,0,16,0.934000," ","int(1/x^2/(a+b*arccos(c*x))^3,x)","\int \frac{1}{x^{2} \left(a +b \arccos \left(c x \right)\right)^{3}}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x))^3,x)","F"
173,1,357,182,0.379000," ","int(x^2*(a+b*arccos(c*x))^(1/2),x)","\frac{-\sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -\sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -9 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \cos \left(\frac{a}{b}\right) b -9 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sin \left(\frac{a}{b}\right) b +6 \arccos \left(c x \right) \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b +6 \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a +18 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b +18 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a}{72 c^{3} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/72/c^3/(a+b*arccos(c*x))^(1/2)*(-3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b-3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b-9*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*cos(a/b)*b-9*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*sin(a/b)*b+6*arccos(c*x)*cos(3*(a+b*arccos(c*x))/b-3*a/b)*b+6*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a+18*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b+18*cos((a+b*arccos(c*x))/b-a/b)*a)","A"
174,1,173,105,0.272000," ","int(x*(a+b*arccos(c*x))^(1/2),x)","\frac{-\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +2 \arccos \left(c x \right) \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b +2 \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a}{8 c^{2} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/8/c^2/(a+b*arccos(c*x))^(1/2)*(-Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b-Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b+2*arccos(c*x)*cos(2*(a+b*arccos(c*x))/b-2*a/b)*b+2*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a)","A"
175,1,179,95,0.209000," ","int((a+b*arccos(c*x))^(1/2),x)","\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \cos \left(\frac{a}{b}\right) b -\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sin \left(\frac{a}{b}\right) b +2 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b +2 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a}{2 c \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/2/c/(a+b*arccos(c*x))^(1/2)*(-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*cos(a/b)*b-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*sin(a/b)*b+2*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b+2*cos((a+b*arccos(c*x))/b-a/b)*a)","A"
176,0,0,16,0.293000," ","int((a+b*arccos(c*x))^(1/2)/x,x)","\int \frac{\sqrt{a +b \arccos \left(c x \right)}}{x}\, dx"," ",0,"int((a+b*arccos(c*x))^(1/2)/x,x)","F"
177,0,0,16,0.632000," ","int((a+b*arccos(c*x))^(1/2)/x^2,x)","\int \frac{\sqrt{a +b \arccos \left(c x \right)}}{x^{2}}\, dx"," ",0,"int((a+b*arccos(c*x))^(1/2)/x^2,x)","F"
178,1,541,241,0.372000," ","int(x^2*(a+b*arccos(c*x))^(3/2),x)","\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}-\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}+27 \sqrt{2}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}-27 \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}+36 \arccos \left(c x \right)^{2} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+12 \arccos \left(c x \right)^{2} \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{2}+72 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a b -54 \arccos \left(c x \right) \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+24 \arccos \left(c x \right) \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a b -6 \arccos \left(c x \right) \sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{2}+36 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2}-54 \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a b +12 \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2}-6 \sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a b}{144 c^{3} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/144/c^3*(3^(1/2)*2^(1/2)*(1/b)^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2-3^(1/2)*2^(1/2)*(1/b)^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2+27*2^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2-27*2^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2+36*arccos(c*x)^2*cos((a+b*arccos(c*x))/b-a/b)*b^2+12*arccos(c*x)^2*cos(3*(a+b*arccos(c*x))/b-3*a/b)*b^2+72*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*a*b-54*arccos(c*x)*sin((a+b*arccos(c*x))/b-a/b)*b^2+24*arccos(c*x)*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a*b-6*arccos(c*x)*sin(3*(a+b*arccos(c*x))/b-3*a/b)*b^2+36*cos((a+b*arccos(c*x))/b-a/b)*a^2-54*sin((a+b*arccos(c*x))/b-a/b)*a*b+12*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a^2-6*sin(3*(a+b*arccos(c*x))/b-3*a/b)*a*b)/(a+b*arccos(c*x))^(1/2)","B"
179,1,267,134,0.246000," ","int(x*(a+b*arccos(c*x))^(3/2),x)","\frac{3 \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b^{2}-3 \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b^{2}+8 \arccos \left(c x \right)^{2} \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{2}+16 \arccos \left(c x \right) \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a b -6 \arccos \left(c x \right) \sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{2}+8 \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2}-6 \sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a b}{32 c^{2} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/32/c^2*(3*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b^2-3*Pi^(1/2)*(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*b^2+8*arccos(c*x)^2*cos(2*(a+b*arccos(c*x))/b-2*a/b)*b^2+16*arccos(c*x)*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a*b-6*arccos(c*x)*sin(2*(a+b*arccos(c*x))/b-2*a/b)*b^2+8*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a^2-6*sin(2*(a+b*arccos(c*x))/b-2*a/b)*a*b)/(a+b*arccos(c*x))^(1/2)","A"
180,1,270,123,0.220000," ","int((a+b*arccos(c*x))^(3/2),x)","\frac{3 \sqrt{2}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}-3 \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, b^{2}+4 \arccos \left(c x \right)^{2} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+8 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a b -6 \arccos \left(c x \right) \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+4 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2}-6 \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a b}{4 c \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/4/c*(3*2^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2-3*2^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*b^2+4*arccos(c*x)^2*cos((a+b*arccos(c*x))/b-a/b)*b^2+8*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*a*b-6*arccos(c*x)*sin((a+b*arccos(c*x))/b-a/b)*b^2+4*cos((a+b*arccos(c*x))/b-a/b)*a^2-6*sin((a+b*arccos(c*x))/b-a/b)*a*b)/(a+b*arccos(c*x))^(1/2)","B"
181,0,0,16,0.293000," ","int((a+b*arccos(c*x))^(3/2)/x,x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int((a+b*arccos(c*x))^(3/2)/x,x)","F"
182,0,0,16,0.636000," ","int((a+b*arccos(c*x))^(3/2)/x^2,x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int((a+b*arccos(c*x))^(3/2)/x^2,x)","F"
183,1,792,278,0.405000," ","int(x^2*(a+b*arccos(c*x))^(5/2),x)","\frac{5 \sqrt{3}\, \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+5 \sqrt{3}\, \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+405 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+405 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+216 \arccos \left(c x \right)^{3} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+72 \arccos \left(c x \right)^{3} \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}+648 \arccos \left(c x \right)^{2} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}-540 \arccos \left(c x \right)^{2} \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+216 \arccos \left(c x \right)^{2} \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}-60 \arccos \left(c x \right)^{2} \sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}+648 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b -810 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}-1080 \arccos \left(c x \right) \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+216 \arccos \left(c x \right) \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2} b -30 \arccos \left(c x \right) \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}-120 \arccos \left(c x \right) \sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}+216 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{3}-810 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}-540 \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b +72 \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{3}-30 \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}-60 \sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2} b}{864 c^{3} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/864/c^3*(5*3^(1/2)*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+5*3^(1/2)*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+405*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+405*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+216*arccos(c*x)^3*cos((a+b*arccos(c*x))/b-a/b)*b^3+72*arccos(c*x)^3*cos(3*(a+b*arccos(c*x))/b-3*a/b)*b^3+648*arccos(c*x)^2*cos((a+b*arccos(c*x))/b-a/b)*a*b^2-540*arccos(c*x)^2*sin((a+b*arccos(c*x))/b-a/b)*b^3+216*arccos(c*x)^2*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a*b^2-60*arccos(c*x)^2*sin(3*(a+b*arccos(c*x))/b-3*a/b)*b^3+648*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*a^2*b-810*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b^3-1080*arccos(c*x)*sin((a+b*arccos(c*x))/b-a/b)*a*b^2+216*arccos(c*x)*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a^2*b-30*arccos(c*x)*cos(3*(a+b*arccos(c*x))/b-3*a/b)*b^3-120*arccos(c*x)*sin(3*(a+b*arccos(c*x))/b-3*a/b)*a*b^2+216*cos((a+b*arccos(c*x))/b-a/b)*a^3-810*cos((a+b*arccos(c*x))/b-a/b)*a*b^2-540*sin((a+b*arccos(c*x))/b-a/b)*a^2*b+72*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a^3-30*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a*b^2-60*sin(3*(a+b*arccos(c*x))/b-3*a/b)*a^2*b)/(a+b*arccos(c*x))^(1/2)","B"
184,1,394,170,0.283000," ","int(x*(a+b*arccos(c*x))^(5/2),x)","\frac{15 \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b^{3}+15 \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b^{3}+32 \arccos \left(c x \right)^{3} \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}+96 \arccos \left(c x \right)^{2} \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}-40 \arccos \left(c x \right)^{2} \sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}+96 \arccos \left(c x \right) \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2} b -30 \arccos \left(c x \right) \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}-80 \arccos \left(c x \right) \sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}+32 \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{3}-30 \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}-40 \sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2} b}{128 c^{2} \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/128/c^2*(15*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(1/b)^(1/2)*b^3+15*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*Pi^(1/2)*(1/b)^(1/2)*b^3+32*arccos(c*x)^3*cos(2*(a+b*arccos(c*x))/b-2*a/b)*b^3+96*arccos(c*x)^2*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a*b^2-40*arccos(c*x)^2*sin(2*(a+b*arccos(c*x))/b-2*a/b)*b^3+96*arccos(c*x)*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a^2*b-30*arccos(c*x)*cos(2*(a+b*arccos(c*x))/b-2*a/b)*b^3-80*arccos(c*x)*sin(2*(a+b*arccos(c*x))/b-2*a/b)*a*b^2+32*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a^3-30*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a*b^2-40*sin(2*(a+b*arccos(c*x))/b-2*a/b)*a^2*b)/(a+b*arccos(c*x))^(1/2)","B"
185,1,393,139,0.234000," ","int((a+b*arccos(c*x))^(5/2),x)","\frac{15 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+15 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b^{3}+8 \arccos \left(c x \right)^{3} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+24 \arccos \left(c x \right)^{2} \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}-20 \arccos \left(c x \right)^{2} \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+24 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b -30 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}-40 \arccos \left(c x \right) \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+8 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{3}-30 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}-20 \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b}{8 c \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/8/c*(15*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+15*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b^3+8*arccos(c*x)^3*cos((a+b*arccos(c*x))/b-a/b)*b^3+24*arccos(c*x)^2*cos((a+b*arccos(c*x))/b-a/b)*a*b^2-20*arccos(c*x)^2*sin((a+b*arccos(c*x))/b-a/b)*b^3+24*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*a^2*b-30*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b^3-40*arccos(c*x)*sin((a+b*arccos(c*x))/b-a/b)*a*b^2+8*cos((a+b*arccos(c*x))/b-a/b)*a^3-30*cos((a+b*arccos(c*x))/b-a/b)*a*b^2-20*sin((a+b*arccos(c*x))/b-a/b)*a^2*b)/(a+b*arccos(c*x))^(1/2)","B"
186,0,0,16,0.308000," ","int((a+b*arccos(c*x))^(5/2)/x,x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int((a+b*arccos(c*x))^(5/2)/x,x)","F"
187,0,0,16,0.626000," ","int((a+b*arccos(c*x))^(5/2)/x^2,x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"int((a+b*arccos(c*x))^(5/2)/x^2,x)","F"
188,1,167,167,0.273000," ","int(x^2/(a+b*arccos(c*x))^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\sqrt{3}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sqrt{3}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+3 \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-3 \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{12 c^{3}}"," ",0,"-1/12/c^3*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(3^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)-3^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)+3*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)-3*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b))","A"
189,1,80,75,0.107000," ","int(x/(a+b*arccos(c*x))^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{2 c^{2}}"," ",0,"-1/2*Pi^(1/2)*(1/b)^(1/2)*(cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)-sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b))/c^2","A"
190,1,85,82,0.091000," ","int(1/(a+b*arccos(c*x))^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{c}"," ",0,"-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)-sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b))/c","A"
191,0,0,16,0.273000," ","int(1/x/(a+b*arccos(c*x))^(1/2),x)","\int \frac{1}{x \sqrt{a +b \arccos \left(c x \right)}}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x))^(1/2),x)","F"
192,0,0,16,0.598000," ","int(1/x^2/(a+b*arccos(c*x))^(1/2),x)","\int \frac{1}{x^{2} \sqrt{a +b \arccos \left(c x \right)}}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x))^(1/2),x)","F"
193,1,295,200,0.266000," ","int(x^2/(a+b*arccos(c*x))^(3/2),x)","\frac{-\sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}-\sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}-\sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}-\sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}+\sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right)+\sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right)}{2 c^{3} b \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/2/c^3/b/(a+b*arccos(c*x))^(1/2)*(-3^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)-3^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)-(a+b*arccos(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)-(a+b*arccos(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)+sin((a+b*arccos(c*x))/b-a/b)+sin(3*(a+b*arccos(c*x))/b-3*a/b))","A"
194,1,142,106,0.183000," ","int(x/(a+b*arccos(c*x))^(3/2),x)","\frac{-2 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-2 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right)}{c^{2} b \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"1/c^2/b/(a+b*arccos(c*x))^(1/2)*(-2*(1/b)^(1/2)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)-2*(1/b)^(1/2)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)+sin(2*(a+b*arccos(c*x))/b-2*a/b))","A"
195,1,150,113,0.192000," ","int(1/(a+b*arccos(c*x))^(3/2),x)","-\frac{2 \left(\sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}+\sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}-\sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right)\right)}{c b \sqrt{a +b \arccos \left(c x \right)}}"," ",0,"-2/c/b*((a+b*arccos(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)+(a+b*arccos(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)-sin((a+b*arccos(c*x))/b-a/b))/(a+b*arccos(c*x))^(1/2)","A"
196,0,0,16,0.236000," ","int(1/x/(a+b*arccos(c*x))^(3/2),x)","\int \frac{1}{x \left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x))^(3/2),x)","F"
197,0,0,16,0.638000," ","int(1/x^2/(a+b*arccos(c*x))^(3/2),x)","\int \frac{1}{x^{2} \left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x))^(3/2),x)","F"
198,1,659,236,0.328000," ","int(x^2/(a+b*arccos(c*x))^(5/2),x)","\frac{6 \arccos \left(c x \right) \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b -6 \arccos \left(c x \right) \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b +2 \arccos \left(c x \right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b -2 \arccos \left(c x \right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b +6 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a -6 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a +2 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a -2 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a +2 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b +6 \arccos \left(c x \right) \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b +\sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b +2 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a +\sin \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) b +6 \cos \left(\frac{3 a +3 b \arccos \left(c x \right)}{b}-\frac{3 a}{b}\right) a}{6 c^{3} b^{2} \left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"1/6/c^3/b^2*(6*arccos(c*x)*3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b-6*arccos(c*x)*3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b+2*arccos(c*x)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b-2*arccos(c*x)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b+6*3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a-6*3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a+2*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a-2*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a+2*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b+6*arccos(c*x)*cos(3*(a+b*arccos(c*x))/b-3*a/b)*b+sin((a+b*arccos(c*x))/b-a/b)*b+2*cos((a+b*arccos(c*x))/b-a/b)*a+sin(3*(a+b*arccos(c*x))/b-3*a/b)*b+6*cos(3*(a+b*arccos(c*x))/b-3*a/b)*a)/(a+b*arccos(c*x))^(3/2)","B"
199,1,311,142,0.218000," ","int(x/(a+b*arccos(c*x))^(5/2),x)","\frac{8 \arccos \left(c x \right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b -8 \arccos \left(c x \right) \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b +8 \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, a -8 \sqrt{\pi}\, \sqrt{a +b \arccos \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, a +4 \arccos \left(c x \right) \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b +\sin \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) b +4 \cos \left(\frac{2 a +2 b \arccos \left(c x \right)}{b}-\frac{2 a}{b}\right) a}{3 c^{2} b^{2} \left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"1/3/c^2/b^2*(8*arccos(c*x)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(1/b)^(1/2)*b-8*arccos(c*x)*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(1/b)^(1/2)*b+8*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(1/b)^(1/2)*a-8*Pi^(1/2)*(a+b*arccos(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(1/b)^(1/2)*a+4*arccos(c*x)*cos(2*(a+b*arccos(c*x))/b-2*a/b)*b+sin(2*(a+b*arccos(c*x))/b-2*a/b)*b+4*cos(2*(a+b*arccos(c*x))/b-2*a/b)*a)/(a+b*arccos(c*x))^(3/2)","B"
200,1,324,129,0.230000," ","int(1/(a+b*arccos(c*x))^(5/2),x)","\frac{\frac{4 \arccos \left(c x \right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b}{3}-\frac{4 \arccos \left(c x \right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, b}{3}+\frac{4 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a}{3}-\frac{4 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{a +b \arccos \left(c x \right)}\, a}{3}+\frac{4 \arccos \left(c x \right) \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b}{3}+\frac{2 \sin \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) b}{3}+\frac{4 \cos \left(\frac{a +b \arccos \left(c x \right)}{b}-\frac{a}{b}\right) a}{3}}{c \,b^{2} \left(a +b \arccos \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"2/3/c/b^2*(2*arccos(c*x)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b-2*arccos(c*x)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*b+2*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a-2*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(c*x))^(1/2)/b)*(a+b*arccos(c*x))^(1/2)*a+2*arccos(c*x)*cos((a+b*arccos(c*x))/b-a/b)*b+sin((a+b*arccos(c*x))/b-a/b)*b+2*cos((a+b*arccos(c*x))/b-a/b)*a)/(a+b*arccos(c*x))^(3/2)","B"
201,0,0,16,0.236000," ","int(1/x/(a+b*arccos(c*x))^(5/2),x)","\int \frac{1}{x \left(a +b \arccos \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/(a+b*arccos(c*x))^(5/2),x)","F"
202,0,0,16,0.616000," ","int(1/x^2/(a+b*arccos(c*x))^(5/2),x)","\int \frac{1}{x^{2} \left(a +b \arccos \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x^2/(a+b*arccos(c*x))^(5/2),x)","F"
203,1,144,92,0.026000," ","int((d*x)^(5/2)*(a+b*arccos(c*x)),x)","\frac{\frac{2 \left(d x \right)^{\frac{7}{2}} a}{7}+2 b \left(\frac{\left(d x \right)^{\frac{7}{2}} \arccos \left(c x \right)}{7}+\frac{2 c \left(-\frac{d^{2} \left(d x \right)^{\frac{5}{2}} \sqrt{-c^{2} x^{2}+1}}{7 c^{2}}-\frac{5 d^{4} \sqrt{d x}\, \sqrt{-c^{2} x^{2}+1}}{21 c^{4}}+\frac{5 d^{4} \sqrt{-c x +1}\, \sqrt{c x +1}\, \EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)}{21 c^{4} \sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{7 d}\right)}{d}"," ",0,"2/d*(1/7*(d*x)^(7/2)*a+b*(1/7*(d*x)^(7/2)*arccos(c*x)+2/7*c/d*(-1/7/c^2*d^2*(d*x)^(5/2)*(-c^2*x^2+1)^(1/2)-5/21/c^4*d^4*(d*x)^(1/2)*(-c^2*x^2+1)^(1/2)+5/21/c^4*d^4/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*EllipticF((d*x)^(1/2)*(c/d)^(1/2),I))))","A"
204,1,138,90,0.015000," ","int((d*x)^(3/2)*(a+b*arccos(c*x)),x)","\frac{\frac{2 \left(d x \right)^{\frac{5}{2}} a}{5}+2 b \left(\frac{\left(d x \right)^{\frac{5}{2}} \arccos \left(c x \right)}{5}+\frac{2 c \left(-\frac{d^{2} \left(d x \right)^{\frac{3}{2}} \sqrt{-c^{2} x^{2}+1}}{5 c^{2}}-\frac{3 d^{3} \sqrt{-c x +1}\, \sqrt{c x +1}\, \left(\EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)-\EllipticE \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)\right)}{5 c^{3} \sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{5 d}\right)}{d}"," ",0,"2/d*(1/5*(d*x)^(5/2)*a+b*(1/5*(d*x)^(5/2)*arccos(c*x)+2/5*c/d*(-1/5/c^2*d^2*(d*x)^(3/2)*(-c^2*x^2+1)^(1/2)-3/5/c^3*d^3/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*(EllipticF((d*x)^(1/2)*(c/d)^(1/2),I)-EllipticE((d*x)^(1/2)*(c/d)^(1/2),I)))))","A"
205,1,119,66,0.008000," ","int((a+b*arccos(c*x))*(d*x)^(1/2),x)","\frac{\frac{2 \left(d x \right)^{\frac{3}{2}} a}{3}+2 b \left(\frac{\left(d x \right)^{\frac{3}{2}} \arccos \left(c x \right)}{3}+\frac{2 c \left(-\frac{d^{2} \sqrt{d x}\, \sqrt{-c^{2} x^{2}+1}}{3 c^{2}}+\frac{d^{2} \sqrt{-c x +1}\, \sqrt{c x +1}\, \EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)}{3 c^{2} \sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{3 d}\right)}{d}"," ",0,"2/d*(1/3*(d*x)^(3/2)*a+b*(1/3*(d*x)^(3/2)*arccos(c*x)+2/3*c/d*(-1/3/c^2*d^2*(d*x)^(1/2)*(-c^2*x^2+1)^(1/2)+1/3/c^2*d^2/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*EllipticF((d*x)^(1/2)*(c/d)^(1/2),I))))","A"
206,1,98,67,0.010000," ","int((a+b*arccos(c*x))/(d*x)^(1/2),x)","\frac{2 a \sqrt{d x}+2 b \left(\sqrt{d x}\, \arccos \left(c x \right)-\frac{2 \sqrt{-c x +1}\, \sqrt{c x +1}\, \left(\EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)-\EllipticE \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)\right)}{\sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{d}"," ",0,"2/d*(a*(d*x)^(1/2)+b*((d*x)^(1/2)*arccos(c*x)-2/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*(EllipticF((d*x)^(1/2)*(c/d)^(1/2),I)-EllipticE((d*x)^(1/2)*(c/d)^(1/2),I))))","A"
207,1,85,43,0.010000," ","int((a+b*arccos(c*x))/(d*x)^(3/2),x)","\frac{-\frac{2 a}{\sqrt{d x}}+2 b \left(-\frac{\arccos \left(c x \right)}{\sqrt{d x}}-\frac{2 c \sqrt{-c x +1}\, \sqrt{c x +1}\, \EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)}{d \sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{d}"," ",0,"2/d*(-1/(d*x)^(1/2)*a+b*(-1/(d*x)^(1/2)*arccos(c*x)-2*c/d/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*EllipticF((d*x)^(1/2)*(c/d)^(1/2),I)))","A"
208,1,129,91,0.007000," ","int((a+b*arccos(c*x))/(d*x)^(5/2),x)","\frac{-\frac{2 a}{3 \left(d x \right)^{\frac{3}{2}}}+2 b \left(-\frac{\arccos \left(c x \right)}{3 \left(d x \right)^{\frac{3}{2}}}-\frac{2 c \left(-\frac{\sqrt{-c^{2} x^{2}+1}}{\sqrt{d x}}+\frac{c \sqrt{-c x +1}\, \sqrt{c x +1}\, \left(\EllipticF \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)-\EllipticE \left(\sqrt{d x}\, \sqrt{\frac{c}{d}}, i\right)\right)}{d \sqrt{\frac{c}{d}}\, \sqrt{-c^{2} x^{2}+1}}\right)}{3 d}\right)}{d}"," ",0,"2/d*(-1/3*a/(d*x)^(3/2)+b*(-1/3/(d*x)^(3/2)*arccos(c*x)-2/3*c/d*(-(-c^2*x^2+1)^(1/2)/(d*x)^(1/2)+c/d/(c/d)^(1/2)*(-c*x+1)^(1/2)*(c*x+1)^(1/2)/(-c^2*x^2+1)^(1/2)*(EllipticF((d*x)^(1/2)*(c/d)^(1/2),I)-EllipticE((d*x)^(1/2)*(c/d)^(1/2),I)))))","A"
209,0,0,85,0.371000," ","int((d*x)^(5/2)*(a+b*arccos(c*x))^2,x)","\int \left(d x \right)^{\frac{5}{2}} \left(a +b \arccos \left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^(5/2)*(a+b*arccos(c*x))^2,x)","F"
210,0,0,85,0.338000," ","int((d*x)^(3/2)*(a+b*arccos(c*x))^2,x)","\int \left(d x \right)^{\frac{3}{2}} \left(a +b \arccos \left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^(3/2)*(a+b*arccos(c*x))^2,x)","F"
211,0,0,85,0.347000," ","int((a+b*arccos(c*x))^2*(d*x)^(1/2),x)","\int \left(a +b \arccos \left(c x \right)\right)^{2} \sqrt{d x}\, dx"," ",0,"int((a+b*arccos(c*x))^2*(d*x)^(1/2),x)","F"
212,-2,0,85,180.000000," ","int((a+b*arccos(c*x))^2/(d*x)^(1/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{2}}{\sqrt{d x}}\, dx"," ",0,"int((a+b*arccos(c*x))^2/(d*x)^(1/2),x)","F"
213,0,0,85,0.359000," ","int((a+b*arccos(c*x))^2/(d*x)^(3/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{2}}{\left(d x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*arccos(c*x))^2/(d*x)^(3/2),x)","F"
214,0,0,85,0.389000," ","int((a+b*arccos(c*x))^2/(d*x)^(5/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{2}}{\left(d x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*arccos(c*x))^2/(d*x)^(5/2),x)","F"
215,0,0,58,0.344000," ","int((d*x)^(3/2)*(a+b*arccos(c*x))^3,x)","\int \left(d x \right)^{\frac{3}{2}} \left(a +b \arccos \left(c x \right)\right)^{3}\, dx"," ",0,"int((d*x)^(3/2)*(a+b*arccos(c*x))^3,x)","F"
216,0,0,58,0.372000," ","int((a+b*arccos(c*x))^3*(d*x)^(1/2),x)","\int \left(a +b \arccos \left(c x \right)\right)^{3} \sqrt{d x}\, dx"," ",0,"int((a+b*arccos(c*x))^3*(d*x)^(1/2),x)","F"
217,-2,0,58,180.000000," ","int((a+b*arccos(c*x))^3/(d*x)^(1/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{3}}{\sqrt{d x}}\, dx"," ",0,"int((a+b*arccos(c*x))^3/(d*x)^(1/2),x)","F"
218,0,0,58,0.366000," ","int((a+b*arccos(c*x))^3/(d*x)^(3/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{3}}{\left(d x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*arccos(c*x))^3/(d*x)^(3/2),x)","F"
219,0,0,58,0.374000," ","int((a+b*arccos(c*x))^3/(d*x)^(5/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{3}}{\left(d x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*arccos(c*x))^3/(d*x)^(5/2),x)","F"
220,0,0,18,0.244000," ","int((d*x)^(3/2)/(a+b*arccos(c*x)),x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{a +b \arccos \left(c x \right)}\, dx"," ",0,"int((d*x)^(3/2)/(a+b*arccos(c*x)),x)","F"
221,0,0,18,0.264000," ","int((d*x)^(1/2)/(a+b*arccos(c*x)),x)","\int \frac{\sqrt{d x}}{a +b \arccos \left(c x \right)}\, dx"," ",0,"int((d*x)^(1/2)/(a+b*arccos(c*x)),x)","F"
222,0,0,18,0.276000," ","int(1/(a+b*arccos(c*x))/(d*x)^(1/2),x)","\int \frac{1}{\left(a +b \arccos \left(c x \right)\right) \sqrt{d x}}\, dx"," ",0,"int(1/(a+b*arccos(c*x))/(d*x)^(1/2),x)","F"
223,0,0,18,0.244000," ","int(1/(d*x)^(3/2)/(a+b*arccos(c*x)),x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(a +b \arccos \left(c x \right)\right)}\, dx"," ",0,"int(1/(d*x)^(3/2)/(a+b*arccos(c*x)),x)","F"
224,0,0,18,0.244000," ","int((d*x)^(3/2)/(a+b*arccos(c*x))^2,x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{\left(a +b \arccos \left(c x \right)\right)^{2}}\, dx"," ",0,"int((d*x)^(3/2)/(a+b*arccos(c*x))^2,x)","F"
225,0,0,18,0.253000," ","int((d*x)^(1/2)/(a+b*arccos(c*x))^2,x)","\int \frac{\sqrt{d x}}{\left(a +b \arccos \left(c x \right)\right)^{2}}\, dx"," ",0,"int((d*x)^(1/2)/(a+b*arccos(c*x))^2,x)","F"
226,0,0,18,0.266000," ","int(1/(a+b*arccos(c*x))^2/(d*x)^(1/2),x)","\int \frac{1}{\left(a +b \arccos \left(c x \right)\right)^{2} \sqrt{d x}}\, dx"," ",0,"int(1/(a+b*arccos(c*x))^2/(d*x)^(1/2),x)","F"
227,0,0,18,0.253000," ","int(1/(d*x)^(3/2)/(a+b*arccos(c*x))^2,x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(a +b \arccos \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x)^(3/2)/(a+b*arccos(c*x))^2,x)","F"