1,1,72,61,0.069000," ","int(x^4*arcsin(a*x),x)","\frac{\frac{a^{5} x^{5} \arcsin \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*arcsin(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"
2,1,60,57,0.007000," ","int(x^3*arcsin(a*x),x)","\frac{\frac{a^{4} x^{4} \arcsin \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*arcsin(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"
3,1,52,44,0.005000," ","int(x^2*arcsin(a*x),x)","\frac{\frac{a^{3} x^{3} \arcsin \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*arcsin(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*arcsin(a*x),x)","\frac{\frac{a^{2} x^{2} \arcsin \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*arcsin(a*x)+1/4*a*x*(-a^2*x^2+1)^(1/2)-1/4*arcsin(a*x))","A"
5,1,25,23,0.003000," ","int(arcsin(a*x),x)","\frac{a x \arcsin \left(a x \right)+\sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arcsin(a*x)+(-a^2*x^2+1)^(1/2))","A"
6,1,111,65,0.395000," ","int(arcsin(a*x)/x,x)","-\frac{i \arcsin \left(a x \right)^{2}}{2}+\arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+\arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-i \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-i \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/2*I*arcsin(a*x)^2+arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-I*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))-I*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))","A"
7,1,31,26,0.005000," ","int(arcsin(a*x)/x^2,x)","a \left(-\frac{\arcsin \left(a x \right)}{a x}-\arctanh \left(\frac{1}{\sqrt{-a^{2} x^{2}+1}}\right)\right)"," ",0,"a*(-arcsin(a*x)/a/x-arctanh(1/(-a^2*x^2+1)^(1/2)))","A"
8,1,38,28,0.005000," ","int(arcsin(a*x)/x^3,x)","a^{2} \left(-\frac{\arcsin \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*arcsin(a*x)/a^2/x^2-1/2/a/x*(-a^2*x^2+1)^(1/2))","A"
9,1,53,46,0.004000," ","int(arcsin(a*x)/x^4,x)","a^{3} \left(-\frac{\arcsin \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*arcsin(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"
10,1,58,48,0.005000," ","int(arcsin(a*x)/x^5,x)","a^{4} \left(-\frac{\arcsin \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*arcsin(a*x)/a^4/x^4-1/12/a^3/x^3*(-a^2*x^2+1)^(1/2)-1/6/a/x*(-a^2*x^2+1)^(1/2))","A"
11,1,73,66,0.005000," ","int(arcsin(a*x)/x^6,x)","a^{5} \left(-\frac{\arcsin \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*arcsin(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"
12,1,76,100,0.191000," ","int(x^4*arcsin(a*x)^2,x)","\frac{\frac{a^{5} x^{5} \arcsin \left(a x \right)^{2}}{5}+\frac{2 \arcsin \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*a^5*x^5*arcsin(a*x)^2+2/75*arcsin(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"
13,1,93,82,0.141000," ","int(x^3*arcsin(a*x)^2,x)","\frac{\frac{a^{4} x^{4} \arcsin \left(a x \right)^{2}}{4}-\frac{\arcsin \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 \arcsin \left(a x \right)\right)}{16}+\frac{3 \arcsin \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*arcsin(a*x)^2-1/16*arcsin(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*arcsin(a*x))+3/32*arcsin(a*x)^2-1/32*a^4*x^4-3/32*a^2*x^2)","A"
14,1,59,68,0.122000," ","int(x^2*arcsin(a*x)^2,x)","\frac{\frac{a^{3} x^{3} \arcsin \left(a x \right)^{2}}{3}+\frac{2 \arcsin \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*arcsin(a*x)^2+2/9*arcsin(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"
15,1,65,50,0.041000," ","int(x*arcsin(a*x)^2,x)","\frac{\frac{\left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{2}}{2}+\frac{\arcsin \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)}{2}-\frac{\arcsin \left(a x \right)^{2}}{4}-\frac{a^{2} x^{2}}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2-1)*arcsin(a*x)^2+1/2*arcsin(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))-1/4*arcsin(a*x)^2-1/4*a^2*x^2)","A"
16,1,37,33,0.034000," ","int(arcsin(a*x)^2,x)","\frac{a x \arcsin \left(a x \right)^{2}-2 a x +2 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arcsin(a*x)^2-2*a*x+2*arcsin(a*x)*(-a^2*x^2+1)^(1/2))","A"
17,1,169,95,0.061000," ","int(arcsin(a*x)^2/x,x)","-\frac{i \arcsin \left(a x \right)^{3}}{3}+\arcsin \left(a x \right)^{2} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)-2 i \arcsin \left(a x \right) \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+2 \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+\arcsin \left(a x \right)^{2} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-2 i \arcsin \left(a x \right) \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+2 \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/3*I*arcsin(a*x)^3+arcsin(a*x)^2*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))-2*I*arcsin(a*x)*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+2*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+arcsin(a*x)^2*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-2*I*arcsin(a*x)*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+2*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))","A"
18,1,119,88,0.041000," ","int(arcsin(a*x)^2/x^2,x)","-\frac{\arcsin \left(a x \right)^{2}}{x}+2 a \arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-2 a \arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+2 i a \dilog \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)-2 i a \dilog \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-arcsin(a*x)^2/x+2*a*arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-2*a*arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+2*I*a*dilog(1+I*a*x+(-a^2*x^2+1)^(1/2))-2*I*a*dilog(1-I*a*x-(-a^2*x^2+1)^(1/2))","A"
19,1,43,40,0.043000," ","int(arcsin(a*x)^2/x^3,x)","-\frac{\arcsin \left(a x \right)^{2}}{2 x^{2}}-\frac{a \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{x}+a^{2} \ln \left(a x \right)"," ",0,"-1/2*arcsin(a*x)^2/x^2-a*arcsin(a*x)*(-a^2*x^2+1)^(1/2)/x+a^2*ln(a*x)","A"
20,1,157,124,0.322000," ","int(arcsin(a*x)^2/x^4,x)","-\frac{a \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3 x^{2}}-\frac{a^{2}}{3 x}-\frac{\arcsin \left(a x \right)^{2}}{3 x^{3}}-\frac{a^{3} \arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)}{3}+\frac{i a^{3} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)}{3}+\frac{a^{3} \arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)}{3}-\frac{i a^{3} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)}{3}"," ",0,"-1/3*a*arcsin(a*x)*(-a^2*x^2+1)^(1/2)/x^2-1/3*a^2/x-1/3*arcsin(a*x)^2/x^3-1/3*a^3*arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+1/3*I*a^3*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+1/3*a^3*arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-1/3*I*a^3*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))","A"
21,1,76,73,0.053000," ","int(arcsin(a*x)^2/x^5,x)","-\frac{\arcsin \left(a x \right)^{2}}{4 x^{4}}-\frac{a \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{6 x^{3}}-\frac{a^{2}}{12 x^{2}}-\frac{a^{3} \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3 x}+\frac{a^{4} \ln \left(a x \right)}{3}"," ",0,"-1/4*arcsin(a*x)^2/x^4-1/6*a*arcsin(a*x)*(-a^2*x^2+1)^(1/2)/x^3-1/12*a^2/x^2-1/3*a^3*arcsin(a*x)*(-a^2*x^2+1)^(1/2)/x+1/3*a^4*ln(a*x)","A"
22,1,159,169,0.081000," ","int(x^4*arcsin(a*x)^3,x)","\frac{\frac{a^{5} x^{5} \arcsin \left(a x \right)^{3}}{5}+\frac{\arcsin \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 \arcsin \left(a x \right)}{25}-\frac{6 a^{5} x^{5} \arcsin \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} \arcsin \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*arcsin(a*x)^3+1/25*arcsin(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*arcsin(a*x)-6/125*a^5*x^5*arcsin(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*arcsin(a*x)-8/225*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
23,1,154,141,0.088000," ","int(x^3*arcsin(a*x)^3,x)","\frac{\frac{a^{4} x^{4} \arcsin \left(a x \right)^{3}}{4}-\frac{3 \arcsin \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 \arcsin \left(a x \right)\right)}{32}-\frac{3 a^{4} x^{4} \arcsin \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{27 \arcsin \left(a x \right)}{256}-\frac{9 \left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)}{32}-\frac{9 a x \sqrt{-a^{2} x^{2}+1}}{64}+\frac{3 \arcsin \left(a x \right)^{3}}{16}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsin(a*x)^3-3/32*arcsin(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*arcsin(a*x))-3/32*a^4*x^4*arcsin(a*x)-3/256*a*x*(2*a^2*x^2+3)*(-a^2*x^2+1)^(1/2)-27/256*arcsin(a*x)-9/32*(a^2*x^2-1)*arcsin(a*x)-9/64*a*x*(-a^2*x^2+1)^(1/2)+3/16*arcsin(a*x)^3)","A"
24,1,106,114,0.062000," ","int(x^2*arcsin(a*x)^3,x)","\frac{\frac{a^{3} x^{3} \arcsin \left(a x \right)^{3}}{3}+\frac{\arcsin \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 \arcsin \left(a x \right)}{3}-\frac{2 a^{3} x^{3} \arcsin \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*arcsin(a*x)^3+1/3*arcsin(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*arcsin(a*x)-2/9*a^3*x^3*arcsin(a*x)-2/27*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
25,1,96,83,0.059000," ","int(x*arcsin(a*x)^3,x)","\frac{\frac{\left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{3}}{2}+\frac{3 \arcsin \left(a x \right)^{2} \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)}{4}-\frac{3 \left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)}{4}-\frac{3 a x \sqrt{-a^{2} x^{2}+1}}{8}-\frac{3 \arcsin \left(a x \right)}{8}-\frac{\arcsin \left(a x \right)^{3}}{2}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2-1)*arcsin(a*x)^3+3/4*arcsin(a*x)^2*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))-3/4*(a^2*x^2-1)*arcsin(a*x)-3/8*a*x*(-a^2*x^2+1)^(1/2)-3/8*arcsin(a*x)-1/2*arcsin(a*x)^3)","A"
26,1,57,56,0.040000," ","int(arcsin(a*x)^3,x)","\frac{a x \arcsin \left(a x \right)^{3}+3 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}-6 \sqrt{-a^{2} x^{2}+1}-6 a x \arcsin \left(a x \right)}{a}"," ",0,"1/a*(a*x*arcsin(a*x)^3+3*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)-6*(-a^2*x^2+1)^(1/2)-6*a*x*arcsin(a*x))","A"
27,1,229,126,0.065000," ","int(arcsin(a*x)^3/x,x)","-\frac{i \arcsin \left(a x \right)^{4}}{4}+\arcsin \left(a x \right)^{3} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)-3 i \arcsin \left(a x \right)^{2} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+6 \arcsin \left(a x \right) \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+6 i \polylog \left(4, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+\arcsin \left(a x \right)^{3} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-3 i \arcsin \left(a x \right)^{2} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+6 \arcsin \left(a x \right) \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)+6 i \polylog \left(4, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/4*I*arcsin(a*x)^4+arcsin(a*x)^3*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))-3*I*arcsin(a*x)^2*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+6*arcsin(a*x)*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+6*I*polylog(4,-I*a*x-(-a^2*x^2+1)^(1/2))+arcsin(a*x)^3*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-3*I*arcsin(a*x)^2*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+6*arcsin(a*x)*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))+6*I*polylog(4,I*a*x+(-a^2*x^2+1)^(1/2))","A"
28,1,179,146,0.113000," ","int(arcsin(a*x)^3/x^2,x)","-\frac{\arcsin \left(a x \right)^{3}}{x}-3 a \arcsin \left(a x \right)^{2} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+6 i a \arcsin \left(a x \right) \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-6 a \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+3 a \arcsin \left(a x \right)^{2} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-6 i a \arcsin \left(a x \right) \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+6 a \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-arcsin(a*x)^3/x-3*a*arcsin(a*x)^2*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+6*I*a*arcsin(a*x)*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))-6*a*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+3*a*arcsin(a*x)^2*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-6*I*a*arcsin(a*x)*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+6*a*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))","A"
29,1,163,110,0.143000," ","int(arcsin(a*x)^3/x^3,x)","-\frac{3 i a^{2} \arcsin \left(a x \right)^{2}}{2}-\frac{3 a \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{2 x}-\frac{\arcsin \left(a x \right)^{3}}{2 x^{2}}+3 a^{2} \arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+3 a^{2} \arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-3 i a^{2} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)-3 i a^{2} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-3/2*I*a^2*arcsin(a*x)^2-3/2*a*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)/x-1/2*arcsin(a*x)^3/x^2+3*a^2*arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+3*a^2*arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-3*I*a^2*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))-3*I*a^2*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))","A"
30,1,250,209,0.224000," ","int(arcsin(a*x)^3/x^4,x)","-\frac{a \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{2 x^{2}}-\frac{a^{2} \arcsin \left(a x \right)}{x}-\frac{\arcsin \left(a x \right)^{3}}{3 x^{3}}-\frac{a^{3} \arcsin \left(a x \right)^{2} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)}{2}+i a^{3} \arcsin \left(a x \right) \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-a^{3} \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+\frac{a^{3} \arcsin \left(a x \right)^{2} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)}{2}-i a^{3} \arcsin \left(a x \right) \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+a^{3} \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)-2 a^{3} \arctanh \left(i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/2*a*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)/x^2-a^2*arcsin(a*x)/x-1/3*arcsin(a*x)^3/x^3-1/2*a^3*arcsin(a*x)^2*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+I*a^3*arcsin(a*x)*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))-a^3*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+1/2*a^3*arcsin(a*x)^2*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-I*a^3*arcsin(a*x)*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+a^3*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))-2*a^3*arctanh(I*a*x+(-a^2*x^2+1)^(1/2))","A"
31,1,225,167,0.215000," ","int(arcsin(a*x)^3/x^5,x)","-\frac{i a^{4} \arcsin \left(a x \right)^{2}}{2}-\frac{a^{3} \arcsin \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 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}}{4 x^{3}}-\frac{a^{2} \arcsin \left(a x \right)}{4 x^{2}}-\frac{\arcsin \left(a x \right)^{3}}{4 x^{4}}+a^{4} \arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+a^{4} \arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-i a^{4} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)-i a^{4} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/2*I*a^4*arcsin(a*x)^2-1/2*a^3*arcsin(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*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)/x^3-1/4*a^2*arcsin(a*x)/x^2-1/4*arcsin(a*x)^3/x^4+a^4*arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+a^4*arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-I*a^4*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))-I*a^4*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))","A"
32,1,320,240,0.182000," ","int(x^5*arcsin(a*x)^4,x)","\frac{\frac{a^{6} x^{6} \arcsin \left(a x \right)^{4}}{6}-\frac{\arcsin \left(a x \right)^{3} \left(-8 \sqrt{-a^{2} x^{2}+1}\, a^{5} x^{5}-10 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}-15 a x \sqrt{-a^{2} x^{2}+1}+15 \arcsin \left(a x \right)\right)}{72}-\frac{\arcsin \left(a x \right)^{2} a^{6} x^{6}}{18}+\frac{\arcsin \left(a x \right) \left(-8 \sqrt{-a^{2} x^{2}+1}\, a^{5} x^{5}-10 a^{3} x^{3} \sqrt{-a^{2} x^{2}+1}-15 a x \sqrt{-a^{2} x^{2}+1}+15 \arcsin \left(a x \right)\right)}{432}+\frac{115 \arcsin \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} \arcsin \left(a x \right)^{2}}{48}+\frac{5 \arcsin \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 \arcsin \left(a x \right)\right)}{192}-\frac{5 \left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{2}}{16}-\frac{5 \arcsin \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)}{16}+\frac{5 \arcsin \left(a x \right)^{4}}{32}}{a^{6}}"," ",0,"1/a^6*(1/6*a^6*x^6*arcsin(a*x)^4-1/72*arcsin(a*x)^3*(-8*(-a^2*x^2+1)^(1/2)*a^5*x^5-10*a^3*x^3*(-a^2*x^2+1)^(1/2)-15*a*x*(-a^2*x^2+1)^(1/2)+15*arcsin(a*x))-1/18*arcsin(a*x)^2*a^6*x^6+1/432*arcsin(a*x)*(-8*(-a^2*x^2+1)^(1/2)*a^5*x^5-10*a^3*x^3*(-a^2*x^2+1)^(1/2)-15*a*x*(-a^2*x^2+1)^(1/2)+15*arcsin(a*x))+115/1152*arcsin(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*arcsin(a*x)^2+5/192*arcsin(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*arcsin(a*x))-5/16*(a^2*x^2-1)*arcsin(a*x)^2-5/16*arcsin(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))+5/32*arcsin(a*x)^4)","A"
33,1,197,212,0.081000," ","int(x^4*arcsin(a*x)^4,x)","\frac{\frac{a^{5} x^{5} \arcsin \left(a x \right)^{4}}{5}+\frac{4 \arcsin \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 \arcsin \left(a x \right)^{2}}{25}+\frac{16576 a x}{5625}-\frac{64 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{25}-\frac{12 a^{5} x^{5} \arcsin \left(a x \right)^{2}}{125}-\frac{8 \arcsin \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} \arcsin \left(a x \right)^{2}}{75}-\frac{32 \arcsin \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*arcsin(a*x)^4+4/75*arcsin(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*arcsin(a*x)^2+16576/5625*a*x-64/25*arcsin(a*x)*(-a^2*x^2+1)^(1/2)-12/125*a^5*x^5*arcsin(a*x)^2-8/625*arcsin(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*arcsin(a*x)^2-32/225*arcsin(a*x)*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2))","A"
34,1,209,168,0.092000," ","int(x^3*arcsin(a*x)^4,x)","\frac{\frac{a^{4} x^{4} \arcsin \left(a x \right)^{4}}{4}-\frac{\arcsin \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 \arcsin \left(a x \right)\right)}{8}-\frac{3 a^{4} x^{4} \arcsin \left(a x \right)^{2}}{16}+\frac{3 \arcsin \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 \arcsin \left(a x \right)\right)}{64}+\frac{27 \arcsin \left(a x \right)^{2}}{128}+\frac{3 a^{4} x^{4}}{128}+\frac{45 a^{2} x^{2}}{128}-\frac{9 \left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{2}}{16}-\frac{9 \arcsin \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)}{16}+\frac{9 \arcsin \left(a x \right)^{4}}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsin(a*x)^4-1/8*arcsin(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*arcsin(a*x))-3/16*a^4*x^4*arcsin(a*x)^2+3/64*arcsin(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*arcsin(a*x))+27/128*arcsin(a*x)^2+3/128*a^4*x^4+45/128*a^2*x^2-9/16*(a^2*x^2-1)*arcsin(a*x)^2-9/16*arcsin(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))+9/32*arcsin(a*x)^4)","A"
35,1,130,140,0.067000," ","int(x^2*arcsin(a*x)^4,x)","\frac{\frac{a^{3} x^{3} \arcsin \left(a x \right)^{4}}{3}+\frac{4 \arcsin \left(a x \right)^{3} \left(a^{2} x^{2}+2\right) \sqrt{-a^{2} x^{2}+1}}{9}-\frac{8 a x \arcsin \left(a x \right)^{2}}{3}+\frac{160 a x}{27}-\frac{16 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{3}-\frac{4 a^{3} x^{3} \arcsin \left(a x \right)^{2}}{9}-\frac{8 \arcsin \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*arcsin(a*x)^4+4/9*arcsin(a*x)^3*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)-8/3*a*x*arcsin(a*x)^2+160/27*a*x-16/3*arcsin(a*x)*(-a^2*x^2+1)^(1/2)-4/9*a^3*x^3*arcsin(a*x)^2-8/27*arcsin(a*x)*(a^2*x^2+2)*(-a^2*x^2+1)^(1/2)+8/81*a^3*x^3)","A"
36,1,117,95,0.059000," ","int(x*arcsin(a*x)^4,x)","\frac{\frac{\left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{4}}{2}+\arcsin \left(a x \right)^{3} \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)-\frac{3 \left(a^{2} x^{2}-1\right) \arcsin \left(a x \right)^{2}}{2}-\frac{3 \arcsin \left(a x \right) \left(a x \sqrt{-a^{2} x^{2}+1}+\arcsin \left(a x \right)\right)}{2}+\frac{3 \arcsin \left(a x \right)^{2}}{4}+\frac{3 a^{2} x^{2}}{4}-\frac{3 \arcsin \left(a x \right)^{4}}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2-1)*arcsin(a*x)^4+arcsin(a*x)^3*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))-3/2*(a^2*x^2-1)*arcsin(a*x)^2-3/2*arcsin(a*x)*(a*x*(-a^2*x^2+1)^(1/2)+arcsin(a*x))+3/4*arcsin(a*x)^2+3/4*a^2*x^2-3/4*arcsin(a*x)^4)","A"
37,1,67,65,0.041000," ","int(arcsin(a*x)^4,x)","\frac{a x \arcsin \left(a x \right)^{4}+4 \arcsin \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}-12 a x \arcsin \left(a x \right)^{2}+24 a x -24 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arcsin(a*x)^4+4*arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)-12*a*x*arcsin(a*x)^2+24*a*x-24*arcsin(a*x)*(-a^2*x^2+1)^(1/2))","A"
38,1,287,156,0.062000," ","int(arcsin(a*x)^4/x,x)","-\frac{i \arcsin \left(a x \right)^{5}}{5}+\arcsin \left(a x \right)^{4} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)-4 i \arcsin \left(a x \right)^{3} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+12 \arcsin \left(a x \right)^{2} \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+24 i \arcsin \left(a x \right) \polylog \left(4, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-24 \polylog \left(5, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+\arcsin \left(a x \right)^{4} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-4 i \arcsin \left(a x \right)^{3} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+12 \arcsin \left(a x \right)^{2} \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)+24 i \arcsin \left(a x \right) \polylog \left(4, i a x +\sqrt{-a^{2} x^{2}+1}\right)-24 \polylog \left(5, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-1/5*I*arcsin(a*x)^5+arcsin(a*x)^4*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))-4*I*arcsin(a*x)^3*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+12*arcsin(a*x)^2*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+24*I*arcsin(a*x)*polylog(4,-I*a*x-(-a^2*x^2+1)^(1/2))-24*polylog(5,-I*a*x-(-a^2*x^2+1)^(1/2))+arcsin(a*x)^4*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-4*I*arcsin(a*x)^3*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+12*arcsin(a*x)^2*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))+24*I*arcsin(a*x)*polylog(4,I*a*x+(-a^2*x^2+1)^(1/2))-24*polylog(5,I*a*x+(-a^2*x^2+1)^(1/2))","A"
39,1,241,208,0.114000," ","int(arcsin(a*x)^4/x^2,x)","-\frac{\arcsin \left(a x \right)^{4}}{x}-4 a \arcsin \left(a x \right)^{3} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+4 a \arcsin \left(a x \right)^{3} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-24 a \arcsin \left(a x \right) \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+24 a \arcsin \left(a x \right) \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)+12 i a \arcsin \left(a x \right)^{2} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-12 i a \arcsin \left(a x \right)^{2} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)-24 i a \polylog \left(4, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+24 i a \polylog \left(4, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-arcsin(a*x)^4/x-4*a*arcsin(a*x)^3*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+4*a*arcsin(a*x)^3*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-24*a*arcsin(a*x)*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+24*a*arcsin(a*x)*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))+12*I*a*arcsin(a*x)^2*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))-12*I*a*arcsin(a*x)^2*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))-24*I*a*polylog(4,-I*a*x-(-a^2*x^2+1)^(1/2))+24*I*a*polylog(4,I*a*x+(-a^2*x^2+1)^(1/2))","A"
40,1,227,143,0.161000," ","int(arcsin(a*x)^4/x^3,x)","-2 i a^{2} \arcsin \left(a x \right)^{3}-\frac{2 a \arcsin \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}}{x}-\frac{\arcsin \left(a x \right)^{4}}{2 x^{2}}+6 a^{2} \arcsin \left(a x \right)^{2} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)-12 i a^{2} \arcsin \left(a x \right) \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+12 a^{2} \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+6 a^{2} \arcsin \left(a x \right)^{2} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-12 i a^{2} \arcsin \left(a x \right) \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+12 a^{2} \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-2*I*a^2*arcsin(a*x)^3-2*a*arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)/x-1/2*arcsin(a*x)^4/x^2+6*a^2*arcsin(a*x)^2*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))-12*I*a^2*arcsin(a*x)*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+12*a^2*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))+6*a^2*arcsin(a*x)^2*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-12*I*a^2*arcsin(a*x)*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+12*a^2*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))","A"
41,1,409,342,0.225000," ","int(arcsin(a*x)^4/x^4,x)","-\frac{2 a \arcsin \left(a x \right)^{3} \sqrt{-a^{2} x^{2}+1}}{3 x^{2}}-\frac{2 a^{2} \arcsin \left(a x \right)^{2}}{x}-\frac{\arcsin \left(a x \right)^{4}}{3 x^{3}}-\frac{2 a^{3} \arcsin \left(a x \right)^{3} \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)}{3}+2 i a^{3} \arcsin \left(a x \right)^{2} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-4 a^{3} \arcsin \left(a x \right) \polylog \left(3, -i a x -\sqrt{-a^{2} x^{2}+1}\right)-4 i a^{3} \polylog \left(4, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+\frac{2 a^{3} \arcsin \left(a x \right)^{3} \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)}{3}-2 i a^{3} \arcsin \left(a x \right)^{2} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)+4 a^{3} \arcsin \left(a x \right) \polylog \left(3, i a x +\sqrt{-a^{2} x^{2}+1}\right)+4 i a^{3} \polylog \left(4, i a x +\sqrt{-a^{2} x^{2}+1}\right)-4 a^{3} \arcsin \left(a x \right) \ln \left(1+i a x +\sqrt{-a^{2} x^{2}+1}\right)+4 i a^{3} \polylog \left(2, -i a x -\sqrt{-a^{2} x^{2}+1}\right)+4 a^{3} \arcsin \left(a x \right) \ln \left(1-i a x -\sqrt{-a^{2} x^{2}+1}\right)-4 i a^{3} \polylog \left(2, i a x +\sqrt{-a^{2} x^{2}+1}\right)"," ",0,"-2/3*a*arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)/x^2-2*a^2*arcsin(a*x)^2/x-1/3*arcsin(a*x)^4/x^3-2/3*a^3*arcsin(a*x)^3*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+2*I*a^3*arcsin(a*x)^2*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))-4*a^3*arcsin(a*x)*polylog(3,-I*a*x-(-a^2*x^2+1)^(1/2))-4*I*a^3*polylog(4,-I*a*x-(-a^2*x^2+1)^(1/2))+2/3*a^3*arcsin(a*x)^3*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-2*I*a^3*arcsin(a*x)^2*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))+4*a^3*arcsin(a*x)*polylog(3,I*a*x+(-a^2*x^2+1)^(1/2))+4*I*a^3*polylog(4,I*a*x+(-a^2*x^2+1)^(1/2))-4*a^3*arcsin(a*x)*ln(1+I*a*x+(-a^2*x^2+1)^(1/2))+4*I*a^3*polylog(2,-I*a*x-(-a^2*x^2+1)^(1/2))+4*a^3*arcsin(a*x)*ln(1-I*a*x-(-a^2*x^2+1)^(1/2))-4*I*a^3*polylog(2,I*a*x+(-a^2*x^2+1)^(1/2))","A"
42,1,40,47,0.061000," ","int(x^6/arcsin(a*x),x)","\frac{\frac{5 \Ci \left(\arcsin \left(a x \right)\right)}{64}-\frac{9 \Ci \left(3 \arcsin \left(a x \right)\right)}{64}+\frac{5 \Ci \left(5 \arcsin \left(a x \right)\right)}{64}-\frac{\Ci \left(7 \arcsin \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(5/64*Ci(arcsin(a*x))-9/64*Ci(3*arcsin(a*x))+5/64*Ci(5*arcsin(a*x))-1/64*Ci(7*arcsin(a*x)))","A"
43,1,33,37,0.056000," ","int(x^5/arcsin(a*x),x)","\frac{\frac{5 \Si \left(2 \arcsin \left(a x \right)\right)}{32}-\frac{\Si \left(4 \arcsin \left(a x \right)\right)}{8}+\frac{\Si \left(6 \arcsin \left(a x \right)\right)}{32}}{a^{6}}"," ",0,"1/a^6*(5/32*Si(2*arcsin(a*x))-1/8*Si(4*arcsin(a*x))+1/32*Si(6*arcsin(a*x)))","A"
44,1,31,35,0.030000," ","int(x^4/arcsin(a*x),x)","\frac{\frac{\Ci \left(\arcsin \left(a x \right)\right)}{8}-\frac{3 \Ci \left(3 \arcsin \left(a x \right)\right)}{16}+\frac{\Ci \left(5 \arcsin \left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(1/8*Ci(arcsin(a*x))-3/16*Ci(3*arcsin(a*x))+1/16*Ci(5*arcsin(a*x)))","A"
45,1,24,25,0.030000," ","int(x^3/arcsin(a*x),x)","\frac{\frac{\Si \left(2 \arcsin \left(a x \right)\right)}{4}-\frac{\Si \left(4 \arcsin \left(a x \right)\right)}{8}}{a^{4}}"," ",0,"1/a^4*(1/4*Si(2*arcsin(a*x))-1/8*Si(4*arcsin(a*x)))","A"
46,1,22,23,0.030000," ","int(x^2/arcsin(a*x),x)","\frac{\frac{\Ci \left(\arcsin \left(a x \right)\right)}{4}-\frac{\Ci \left(3 \arcsin \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(1/4*Ci(arcsin(a*x))-1/4*Ci(3*arcsin(a*x)))","A"
47,1,13,12,0.043000," ","int(x/arcsin(a*x),x)","\frac{\Si \left(2 \arcsin \left(a x \right)\right)}{2 a^{2}}"," ",0,"1/2*Si(2*arcsin(a*x))/a^2","A"
48,1,10,9,0.023000," ","int(1/arcsin(a*x),x)","\frac{\Ci \left(\arcsin \left(a x \right)\right)}{a}"," ",0,"Ci(arcsin(a*x))/a","A"
49,0,0,12,0.145000," ","int(1/x/arcsin(a*x),x)","\int \frac{1}{x \arcsin \left(a x \right)}\, dx"," ",0,"int(1/x/arcsin(a*x),x)","F"
50,0,0,12,0.181000," ","int(1/x^2/arcsin(a*x),x)","\int \frac{1}{x^{2} \arcsin \left(a x \right)}\, dx"," ",0,"int(1/x^2/arcsin(a*x),x)","F"
51,1,105,73,0.066000," ","int(x^6/arcsin(a*x)^2,x)","\frac{-\frac{5 \sqrt{-a^{2} x^{2}+1}}{64 \arcsin \left(a x \right)}-\frac{5 \Si \left(\arcsin \left(a x \right)\right)}{64}+\frac{9 \cos \left(3 \arcsin \left(a x \right)\right)}{64 \arcsin \left(a x \right)}+\frac{27 \Si \left(3 \arcsin \left(a x \right)\right)}{64}-\frac{5 \cos \left(5 \arcsin \left(a x \right)\right)}{64 \arcsin \left(a x \right)}-\frac{25 \Si \left(5 \arcsin \left(a x \right)\right)}{64}+\frac{\cos \left(7 \arcsin \left(a x \right)\right)}{64 \arcsin \left(a x \right)}+\frac{7 \Si \left(7 \arcsin \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(-5/64/arcsin(a*x)*(-a^2*x^2+1)^(1/2)-5/64*Si(arcsin(a*x))+9/64/arcsin(a*x)*cos(3*arcsin(a*x))+27/64*Si(3*arcsin(a*x))-5/64/arcsin(a*x)*cos(5*arcsin(a*x))-25/64*Si(5*arcsin(a*x))+1/64/arcsin(a*x)*cos(7*arcsin(a*x))+7/64*Si(7*arcsin(a*x)))","A"
52,1,78,63,0.056000," ","int(x^5/arcsin(a*x)^2,x)","\frac{-\frac{5 \sin \left(2 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)}+\frac{5 \Ci \left(2 \arcsin \left(a x \right)\right)}{16}+\frac{\sin \left(4 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)}-\frac{\Ci \left(4 \arcsin \left(a x \right)\right)}{2}-\frac{\sin \left(6 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)}+\frac{3 \Ci \left(6 \arcsin \left(a x \right)\right)}{16}}{a^{6}}"," ",0,"1/a^6*(-5/32/arcsin(a*x)*sin(2*arcsin(a*x))+5/16*Ci(2*arcsin(a*x))+1/8/arcsin(a*x)*sin(4*arcsin(a*x))-1/2*Ci(4*arcsin(a*x))-1/32/arcsin(a*x)*sin(6*arcsin(a*x))+3/16*Ci(6*arcsin(a*x)))","A"
53,1,81,61,0.034000," ","int(x^4/arcsin(a*x)^2,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{8 \arcsin \left(a x \right)}-\frac{\Si \left(\arcsin \left(a x \right)\right)}{8}+\frac{3 \cos \left(3 \arcsin \left(a x \right)\right)}{16 \arcsin \left(a x \right)}+\frac{9 \Si \left(3 \arcsin \left(a x \right)\right)}{16}-\frac{\cos \left(5 \arcsin \left(a x \right)\right)}{16 \arcsin \left(a x \right)}-\frac{5 \Si \left(5 \arcsin \left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(-1/8/arcsin(a*x)*(-a^2*x^2+1)^(1/2)-1/8*Si(arcsin(a*x))+3/16/arcsin(a*x)*cos(3*arcsin(a*x))+9/16*Si(3*arcsin(a*x))-1/16/arcsin(a*x)*cos(5*arcsin(a*x))-5/16*Si(5*arcsin(a*x)))","A"
54,1,54,51,0.032000," ","int(x^3/arcsin(a*x)^2,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{4 \arcsin \left(a x \right)}+\frac{\Ci \left(2 \arcsin \left(a x \right)\right)}{2}+\frac{\sin \left(4 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)}-\frac{\Ci \left(4 \arcsin \left(a x \right)\right)}{2}}{a^{4}}"," ",0,"1/a^4*(-1/4/arcsin(a*x)*sin(2*arcsin(a*x))+1/2*Ci(2*arcsin(a*x))+1/8/arcsin(a*x)*sin(4*arcsin(a*x))-1/2*Ci(4*arcsin(a*x)))","A"
55,1,57,49,0.031000," ","int(x^2/arcsin(a*x)^2,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{4 \arcsin \left(a x \right)}-\frac{\Si \left(\arcsin \left(a x \right)\right)}{4}+\frac{\cos \left(3 \arcsin \left(a x \right)\right)}{4 \arcsin \left(a x \right)}+\frac{3 \Si \left(3 \arcsin \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(-1/4/arcsin(a*x)*(-a^2*x^2+1)^(1/2)-1/4*Si(arcsin(a*x))+1/4/arcsin(a*x)*cos(3*arcsin(a*x))+3/4*Si(3*arcsin(a*x)))","A"
56,1,28,36,0.038000," ","int(x/arcsin(a*x)^2,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{2 \arcsin \left(a x \right)}+\Ci \left(2 \arcsin \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/2/arcsin(a*x)*sin(2*arcsin(a*x))+Ci(2*arcsin(a*x)))","A"
57,1,33,34,0.025000," ","int(1/arcsin(a*x)^2,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{\arcsin \left(a x \right)}-\Si \left(\arcsin \left(a x \right)\right)}{a}"," ",0,"1/a*(-1/arcsin(a*x)*(-a^2*x^2+1)^(1/2)-Si(arcsin(a*x)))","A"
58,0,0,12,0.100000," ","int(1/x/arcsin(a*x)^2,x)","\int \frac{1}{x \arcsin \left(a x \right)^{2}}\, dx"," ",0,"int(1/x/arcsin(a*x)^2,x)","F"
59,0,0,12,0.162000," ","int(1/x^2/arcsin(a*x)^2,x)","\int \frac{1}{x^{2} \arcsin \left(a x \right)^{2}}\, dx"," ",0,"int(1/x^2/arcsin(a*x)^2,x)","F"
60,1,121,86,0.059000," ","int(x^4/arcsin(a*x)^3,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{16 \arcsin \left(a x \right)^{2}}+\frac{a x}{16 \arcsin \left(a x \right)}-\frac{\Ci \left(\arcsin \left(a x \right)\right)}{16}+\frac{3 \cos \left(3 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)^{2}}-\frac{9 \sin \left(3 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)}+\frac{27 \Ci \left(3 \arcsin \left(a x \right)\right)}{32}-\frac{\cos \left(5 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)^{2}}+\frac{5 \sin \left(5 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)}-\frac{25 \Ci \left(5 \arcsin \left(a x \right)\right)}{32}}{a^{5}}"," ",0,"1/a^5*(-1/16/arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+1/16*a*x/arcsin(a*x)-1/16*Ci(arcsin(a*x))+3/32/arcsin(a*x)^2*cos(3*arcsin(a*x))-9/32/arcsin(a*x)*sin(3*arcsin(a*x))+27/32*Ci(3*arcsin(a*x))-1/32/arcsin(a*x)^2*cos(5*arcsin(a*x))+5/32/arcsin(a*x)*sin(5*arcsin(a*x))-25/32*Ci(5*arcsin(a*x)))","A"
61,1,82,75,0.050000," ","int(x^3/arcsin(a*x)^3,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)^{2}}-\frac{\cos \left(2 \arcsin \left(a x \right)\right)}{4 \arcsin \left(a x \right)}-\frac{\Si \left(2 \arcsin \left(a x \right)\right)}{2}+\frac{\sin \left(4 \arcsin \left(a x \right)\right)}{16 \arcsin \left(a x \right)^{2}}+\frac{\cos \left(4 \arcsin \left(a x \right)\right)}{4 \arcsin \left(a x \right)}+\Si \left(4 \arcsin \left(a x \right)\right)}{a^{4}}"," ",0,"1/a^4*(-1/8/arcsin(a*x)^2*sin(2*arcsin(a*x))-1/4/arcsin(a*x)*cos(2*arcsin(a*x))-1/2*Si(2*arcsin(a*x))+1/16/arcsin(a*x)^2*sin(4*arcsin(a*x))+1/4/arcsin(a*x)*cos(4*arcsin(a*x))+Si(4*arcsin(a*x)))","A"
62,1,82,72,0.033000," ","int(x^2/arcsin(a*x)^3,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{8 \arcsin \left(a x \right)^{2}}+\frac{a x}{8 \arcsin \left(a x \right)}-\frac{\Ci \left(\arcsin \left(a x \right)\right)}{8}+\frac{\cos \left(3 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)^{2}}-\frac{3 \sin \left(3 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)}+\frac{9 \Ci \left(3 \arcsin \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(-1/8/arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+1/8*a*x/arcsin(a*x)-1/8*Ci(arcsin(a*x))+1/8/arcsin(a*x)^2*cos(3*arcsin(a*x))-3/8/arcsin(a*x)*sin(3*arcsin(a*x))+9/8*Ci(3*arcsin(a*x)))","A"
63,1,45,58,0.041000," ","int(x/arcsin(a*x)^3,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{4 \arcsin \left(a x \right)^{2}}-\frac{\cos \left(2 \arcsin \left(a x \right)\right)}{2 \arcsin \left(a x \right)}-\Si \left(2 \arcsin \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/4/arcsin(a*x)^2*sin(2*arcsin(a*x))-1/2/arcsin(a*x)*cos(2*arcsin(a*x))-Si(2*arcsin(a*x)))","A"
64,1,43,43,0.026000," ","int(1/arcsin(a*x)^3,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{2 \arcsin \left(a x \right)^{2}}+\frac{a x}{2 \arcsin \left(a x \right)}-\frac{\Ci \left(\arcsin \left(a x \right)\right)}{2}}{a}"," ",0,"1/a*(-1/2/arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+1/2*a*x/arcsin(a*x)-1/2*Ci(arcsin(a*x)))","A"
65,0,0,12,0.105000," ","int(1/x/arcsin(a*x)^3,x)","\int \frac{1}{x \arcsin \left(a x \right)^{3}}\, dx"," ",0,"int(1/x/arcsin(a*x)^3,x)","F"
66,0,0,12,0.170000," ","int(1/x^2/arcsin(a*x)^3,x)","\int \frac{1}{x^{2} \arcsin \left(a x \right)^{3}}\, dx"," ",0,"int(1/x^2/arcsin(a*x)^3,x)","F"
67,1,171,138,0.064000," ","int(x^4/arcsin(a*x)^4,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{24 \arcsin \left(a x \right)^{3}}+\frac{a x}{48 \arcsin \left(a x \right)^{2}}+\frac{\sqrt{-a^{2} x^{2}+1}}{48 \arcsin \left(a x \right)}+\frac{\Si \left(\arcsin \left(a x \right)\right)}{48}+\frac{\cos \left(3 \arcsin \left(a x \right)\right)}{16 \arcsin \left(a x \right)^{3}}-\frac{3 \sin \left(3 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)^{2}}-\frac{9 \cos \left(3 \arcsin \left(a x \right)\right)}{32 \arcsin \left(a x \right)}-\frac{27 \Si \left(3 \arcsin \left(a x \right)\right)}{32}-\frac{\cos \left(5 \arcsin \left(a x \right)\right)}{48 \arcsin \left(a x \right)^{3}}+\frac{5 \sin \left(5 \arcsin \left(a x \right)\right)}{96 \arcsin \left(a x \right)^{2}}+\frac{25 \cos \left(5 \arcsin \left(a x \right)\right)}{96 \arcsin \left(a x \right)}+\frac{125 \Si \left(5 \arcsin \left(a x \right)\right)}{96}}{a^{5}}"," ",0,"1/a^5*(-1/24/arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)+1/48*a*x/arcsin(a*x)^2+1/48/arcsin(a*x)*(-a^2*x^2+1)^(1/2)+1/48*Si(arcsin(a*x))+1/16/arcsin(a*x)^3*cos(3*arcsin(a*x))-3/32/arcsin(a*x)^2*sin(3*arcsin(a*x))-9/32/arcsin(a*x)*cos(3*arcsin(a*x))-27/32*Si(3*arcsin(a*x))-1/48/arcsin(a*x)^3*cos(5*arcsin(a*x))+5/96/arcsin(a*x)^2*sin(5*arcsin(a*x))+25/96/arcsin(a*x)*cos(5*arcsin(a*x))+125/96*Si(5*arcsin(a*x)))","A"
68,1,114,126,0.055000," ","int(x^3/arcsin(a*x)^4,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{12 \arcsin \left(a x \right)^{3}}-\frac{\cos \left(2 \arcsin \left(a x \right)\right)}{12 \arcsin \left(a x \right)^{2}}+\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{6 \arcsin \left(a x \right)}-\frac{\Ci \left(2 \arcsin \left(a x \right)\right)}{3}+\frac{\sin \left(4 \arcsin \left(a x \right)\right)}{24 \arcsin \left(a x \right)^{3}}+\frac{\cos \left(4 \arcsin \left(a x \right)\right)}{12 \arcsin \left(a x \right)^{2}}-\frac{\sin \left(4 \arcsin \left(a x \right)\right)}{3 \arcsin \left(a x \right)}+\frac{4 \Ci \left(4 \arcsin \left(a x \right)\right)}{3}}{a^{4}}"," ",0,"1/a^4*(-1/12/arcsin(a*x)^3*sin(2*arcsin(a*x))-1/12/arcsin(a*x)^2*cos(2*arcsin(a*x))+1/6/arcsin(a*x)*sin(2*arcsin(a*x))-1/3*Ci(2*arcsin(a*x))+1/24/arcsin(a*x)^3*sin(4*arcsin(a*x))+1/12/arcsin(a*x)^2*cos(4*arcsin(a*x))-1/3/arcsin(a*x)*sin(4*arcsin(a*x))+4/3*Ci(4*arcsin(a*x)))","A"
69,1,117,121,0.036000," ","int(x^2/arcsin(a*x)^4,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{12 \arcsin \left(a x \right)^{3}}+\frac{a x}{24 \arcsin \left(a x \right)^{2}}+\frac{\sqrt{-a^{2} x^{2}+1}}{24 \arcsin \left(a x \right)}+\frac{\Si \left(\arcsin \left(a x \right)\right)}{24}+\frac{\cos \left(3 \arcsin \left(a x \right)\right)}{12 \arcsin \left(a x \right)^{3}}-\frac{\sin \left(3 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)^{2}}-\frac{3 \cos \left(3 \arcsin \left(a x \right)\right)}{8 \arcsin \left(a x \right)}-\frac{9 \Si \left(3 \arcsin \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(-1/12/arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)+1/24*a*x/arcsin(a*x)^2+1/24/arcsin(a*x)*(-a^2*x^2+1)^(1/2)+1/24*Si(arcsin(a*x))+1/12/arcsin(a*x)^3*cos(3*arcsin(a*x))-1/8/arcsin(a*x)^2*sin(3*arcsin(a*x))-3/8/arcsin(a*x)*cos(3*arcsin(a*x))-9/8*Si(3*arcsin(a*x)))","A"
70,1,60,83,0.043000," ","int(x/arcsin(a*x)^4,x)","\frac{-\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{6 \arcsin \left(a x \right)^{3}}-\frac{\cos \left(2 \arcsin \left(a x \right)\right)}{6 \arcsin \left(a x \right)^{2}}+\frac{\sin \left(2 \arcsin \left(a x \right)\right)}{3 \arcsin \left(a x \right)}-\frac{2 \Ci \left(2 \arcsin \left(a x \right)\right)}{3}}{a^{2}}"," ",0,"1/a^2*(-1/6/arcsin(a*x)^3*sin(2*arcsin(a*x))-1/6/arcsin(a*x)^2*cos(2*arcsin(a*x))+1/3/arcsin(a*x)*sin(2*arcsin(a*x))-2/3*Ci(2*arcsin(a*x)))","A"
71,1,63,66,0.032000," ","int(1/arcsin(a*x)^4,x)","\frac{-\frac{\sqrt{-a^{2} x^{2}+1}}{3 \arcsin \left(a x \right)^{3}}+\frac{a x}{6 \arcsin \left(a x \right)^{2}}+\frac{\sqrt{-a^{2} x^{2}+1}}{6 \arcsin \left(a x \right)}+\frac{\Si \left(\arcsin \left(a x \right)\right)}{6}}{a}"," ",0,"1/a*(-1/3/arcsin(a*x)^3*(-a^2*x^2+1)^(1/2)+1/6*a*x/arcsin(a*x)^2+1/6/arcsin(a*x)*(-a^2*x^2+1)^(1/2)+1/6*Si(arcsin(a*x)))","A"
72,0,0,12,0.105000," ","int(1/x/arcsin(a*x)^4,x)","\int \frac{1}{x \arcsin \left(a x \right)^{4}}\, dx"," ",0,"int(1/x/arcsin(a*x)^4,x)","F"
73,0,0,12,0.169000," ","int(1/x^2/arcsin(a*x)^4,x)","\int \frac{1}{x^{2} \arcsin \left(a x \right)^{4}}\, dx"," ",0,"int(1/x^2/arcsin(a*x)^4,x)","F"
74,1,143,87,0.129000," ","int(x^4*arcsin(a*x)^(1/2),x)","-\frac{3 \sqrt{5}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-25 \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+150 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-300 a x \arcsin \left(a x \right)+150 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)-30 \arcsin \left(a x \right) \sin \left(5 \arcsin \left(a x \right)\right)}{2400 a^{5} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/2400/a^5/arcsin(a*x)^(1/2)*(3*5^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))-25*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+150*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))-300*a*x*arcsin(a*x)+150*arcsin(a*x)*sin(3*arcsin(a*x))-30*arcsin(a*x)*sin(5*arcsin(a*x)))","A"
75,1,90,69,0.083000," ","int(x^3*arcsin(a*x)^(1/2),x)","-\frac{\FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+16 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)-8 \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}-4 \arcsin \left(a x \right) \cos \left(4 \arcsin \left(a x \right)\right)}{128 a^{4} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/128/a^4/arcsin(a*x)^(1/2)*(FresnelC(2*2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+16*arcsin(a*x)*cos(2*arcsin(a*x))-8*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(1/2)*Pi^(1/2)-4*arcsin(a*x)*cos(4*arcsin(a*x)))","A"
76,1,96,62,0.076000," ","int(x^2*arcsin(a*x)^(1/2),x)","-\frac{-\sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+9 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-18 a x \arcsin \left(a x \right)+6 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)}{72 a^{3} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/72/a^3/arcsin(a*x)^(1/2)*(-3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+9*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))-18*a*x*arcsin(a*x)+6*arcsin(a*x)*sin(3*arcsin(a*x)))","A"
77,1,42,43,0.056000," ","int(x*arcsin(a*x)^(1/2),x)","\frac{-2 \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \cos \left(2 \arcsin \left(a x \right)\right)+\pi  \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)}{8 a^{2} \sqrt{\pi}}"," ",0,"1/8/a^2/Pi^(1/2)*(-2*arcsin(a*x)^(1/2)*Pi^(1/2)*cos(2*arcsin(a*x))+Pi*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2)))","A"
78,1,49,34,0.050000," ","int(arcsin(a*x)^(1/2),x)","\frac{-\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+2 a x \arcsin \left(a x \right)}{2 a \sqrt{\arcsin \left(a x \right)}}"," ",0,"1/2/a/arcsin(a*x)^(1/2)*(-2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+2*a*x*arcsin(a*x))","A"
79,0,0,12,0.124000," ","int(arcsin(a*x)^(1/2)/x,x)","\int \frac{\sqrt{\arcsin \left(a x \right)}}{x}\, dx"," ",0,"int(arcsin(a*x)^(1/2)/x,x)","F"
80,1,193,162,0.122000," ","int(x^4*arcsin(a*x)^(3/2),x)","-\frac{-3000 a x \arcsin \left(a x \right)^{2}-125 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+9 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{5}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+1500 \arcsin \left(a x \right)^{2} \sin \left(3 \arcsin \left(a x \right)\right)-300 \arcsin \left(a x \right)^{2} \sin \left(5 \arcsin \left(a x \right)\right)+2250 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+750 \arcsin \left(a x \right) \cos \left(3 \arcsin \left(a x \right)\right)-90 \arcsin \left(a x \right) \cos \left(5 \arcsin \left(a x \right)\right)-4500 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{24000 a^{5} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/24000/a^5/arcsin(a*x)^(1/2)*(-3000*a*x*arcsin(a*x)^2-125*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+9*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))*5^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+1500*arcsin(a*x)^2*sin(3*arcsin(a*x))-300*arcsin(a*x)^2*sin(5*arcsin(a*x))+2250*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+750*arcsin(a*x)*cos(3*arcsin(a*x))-90*arcsin(a*x)*cos(5*arcsin(a*x))-4500*arcsin(a*x)*(-a^2*x^2+1)^(1/2))","A"
81,1,121,119,0.089000," ","int(x^3*arcsin(a*x)^(3/2),x)","-\frac{128 \arcsin \left(a x \right)^{2} \cos \left(2 \arcsin \left(a x \right)\right)-32 \arcsin \left(a x \right)^{2} \cos \left(4 \arcsin \left(a x \right)\right)-3 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+12 \arcsin \left(a x \right) \sin \left(4 \arcsin \left(a x \right)\right)-96 \arcsin \left(a x \right) \sin \left(2 \arcsin \left(a x \right)\right)+48 \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)}{1024 a^{4} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/1024/a^4/arcsin(a*x)^(1/2)*(128*arcsin(a*x)^2*cos(2*arcsin(a*x))-32*arcsin(a*x)^2*cos(4*arcsin(a*x))-3*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2*2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+12*arcsin(a*x)*sin(4*arcsin(a*x))-96*arcsin(a*x)*sin(2*arcsin(a*x))+48*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2)))","A"
82,1,131,111,0.080000," ","int(x^2*arcsin(a*x)^(3/2),x)","-\frac{-36 a x \arcsin \left(a x \right)^{2}-\FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+12 \arcsin \left(a x \right)^{2} \sin \left(3 \arcsin \left(a x \right)\right)+27 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+6 \arcsin \left(a x \right) \cos \left(3 \arcsin \left(a x \right)\right)-54 \arcsin \left(a x \right) \sqrt{-a^{2} x^{2}+1}}{144 a^{3} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/144/a^3/arcsin(a*x)^(1/2)*(-36*a*x*arcsin(a*x)^2-FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+12*arcsin(a*x)^2*sin(3*arcsin(a*x))+27*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)+6*arcsin(a*x)*cos(3*arcsin(a*x))-54*arcsin(a*x)*(-a^2*x^2+1)^(1/2))","A"
83,1,64,67,0.076000," ","int(x*arcsin(a*x)^(3/2),x)","-\frac{8 \arcsin \left(a x \right)^{2} \cos \left(2 \arcsin \left(a x \right)\right)+3 \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-6 \arcsin \left(a x \right) \sin \left(2 \arcsin \left(a x \right)\right)}{32 a^{2} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/32/a^2*(8*arcsin(a*x)^2*cos(2*arcsin(a*x))+3*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2))-6*arcsin(a*x)*sin(2*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
84,1,72,57,0.053000," ","int(arcsin(a*x)^(3/2),x)","\frac{\sqrt{2}\, \left(2 \arcsin \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a +3 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}-3 \pi  \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{4 a \sqrt{\pi}}"," ",0,"1/4/a*2^(1/2)*(2*arcsin(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a+3*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)-3*Pi*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2)))/Pi^(1/2)","A"
85,0,0,12,0.118000," ","int(arcsin(a*x)^(3/2)/x,x)","\int \frac{\arcsin \left(a x \right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int(arcsin(a*x)^(3/2)/x,x)","F"
86,1,233,199,0.140000," ","int(x^4*arcsin(a*x)^(5/2),x)","-\frac{-18000 a x \arcsin \left(a x \right)^{3}+9000 \arcsin \left(a x \right)^{3} \sin \left(3 \arcsin \left(a x \right)\right)-1800 \arcsin \left(a x \right)^{3} \sin \left(5 \arcsin \left(a x \right)\right)-27 \sqrt{5}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+625 \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-45000 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+7500 \arcsin \left(a x \right)^{2} \cos \left(3 \arcsin \left(a x \right)\right)-900 \arcsin \left(a x \right)^{2} \cos \left(5 \arcsin \left(a x \right)\right)-33750 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+67500 a x \arcsin \left(a x \right)-3750 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)+270 \arcsin \left(a x \right) \sin \left(5 \arcsin \left(a x \right)\right)}{144000 a^{5} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/144000/a^5/arcsin(a*x)^(1/2)*(-18000*a*x*arcsin(a*x)^3+9000*arcsin(a*x)^3*sin(3*arcsin(a*x))-1800*arcsin(a*x)^3*sin(5*arcsin(a*x))-27*5^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))+625*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))-45000*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+7500*arcsin(a*x)^2*cos(3*arcsin(a*x))-900*arcsin(a*x)^2*cos(5*arcsin(a*x))-33750*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+67500*a*x*arcsin(a*x)-3750*arcsin(a*x)*sin(3*arcsin(a*x))+270*arcsin(a*x)*sin(5*arcsin(a*x)))","A"
87,1,154,155,0.095000," ","int(x^3*arcsin(a*x)^(5/2),x)","-\frac{1024 \arcsin \left(a x \right)^{\frac{5}{2}} \cos \left(2 \arcsin \left(a x \right)\right) \sqrt{\pi}-256 \arcsin \left(a x \right)^{\frac{5}{2}} \cos \left(4 \arcsin \left(a x \right)\right) \sqrt{\pi}-1280 \arcsin \left(a x \right)^{\frac{3}{2}} \sin \left(2 \arcsin \left(a x \right)\right) \sqrt{\pi}+160 \arcsin \left(a x \right)^{\frac{3}{2}} \sin \left(4 \arcsin \left(a x \right)\right) \sqrt{\pi}-15 \pi  \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}-960 \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \cos \left(2 \arcsin \left(a x \right)\right)+480 \pi  \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+60 \cos \left(4 \arcsin \left(a x \right)\right) \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}}{8192 a^{4} \sqrt{\pi}}"," ",0,"-1/8192/a^4/Pi^(1/2)*(1024*arcsin(a*x)^(5/2)*cos(2*arcsin(a*x))*Pi^(1/2)-256*arcsin(a*x)^(5/2)*cos(4*arcsin(a*x))*Pi^(1/2)-1280*arcsin(a*x)^(3/2)*sin(2*arcsin(a*x))*Pi^(1/2)+160*arcsin(a*x)^(3/2)*sin(4*arcsin(a*x))*Pi^(1/2)-15*Pi*FresnelC(2*2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)-960*arcsin(a*x)^(1/2)*Pi^(1/2)*cos(2*arcsin(a*x))+480*Pi*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))+60*cos(4*arcsin(a*x))*arcsin(a*x)^(1/2)*Pi^(1/2))","A"
88,1,156,134,0.091000," ","int(x^2*arcsin(a*x)^(5/2),x)","-\frac{-216 a x \arcsin \left(a x \right)^{3}+72 \arcsin \left(a x \right)^{3} \sin \left(3 \arcsin \left(a x \right)\right)+5 \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+60 \arcsin \left(a x \right)^{2} \cos \left(3 \arcsin \left(a x \right)\right)-540 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}-405 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+810 a x \arcsin \left(a x \right)-30 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)}{864 a^{3} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/864/a^3/arcsin(a*x)^(1/2)*(-216*a*x*arcsin(a*x)^3+72*arcsin(a*x)^3*sin(3*arcsin(a*x))+5*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+60*arcsin(a*x)^2*cos(3*arcsin(a*x))-540*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)-405*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+810*a*x*arcsin(a*x)-30*arcsin(a*x)*sin(3*arcsin(a*x)))","A"
89,1,79,89,0.067000," ","int(x*arcsin(a*x)^(5/2),x)","-\frac{32 \arcsin \left(a x \right)^{\frac{5}{2}} \cos \left(2 \arcsin \left(a x \right)\right) \sqrt{\pi}-40 \arcsin \left(a x \right)^{\frac{3}{2}} \sin \left(2 \arcsin \left(a x \right)\right) \sqrt{\pi}-30 \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \cos \left(2 \arcsin \left(a x \right)\right)+15 \pi  \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)}{128 a^{2} \sqrt{\pi}}"," ",0,"-1/128/a^2/Pi^(1/2)*(32*arcsin(a*x)^(5/2)*cos(2*arcsin(a*x))*Pi^(1/2)-40*arcsin(a*x)^(3/2)*sin(2*arcsin(a*x))*Pi^(1/2)-30*arcsin(a*x)^(1/2)*Pi^(1/2)*cos(2*arcsin(a*x))+15*Pi*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2)))","A"
90,1,88,66,0.061000," ","int(arcsin(a*x)^(5/2),x)","\frac{\sqrt{2}\, \left(4 \arcsin \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, x a +10 \arcsin \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}-15 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, x a +15 \pi  \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)\right)}{8 a \sqrt{\pi}}"," ",0,"1/8/a*2^(1/2)/Pi^(1/2)*(4*arcsin(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*x*a+10*arcsin(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)-15*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*x*a+15*Pi*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2)))","A"
91,0,0,12,0.115000," ","int(arcsin(a*x)^(5/2)/x,x)","\int \frac{\arcsin \left(a x \right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int(arcsin(a*x)^(5/2)/x,x)","F"
92,1,72,76,0.101000," ","int(x^4/arcsin(a*x)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \left(-5 \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+\sqrt{5}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+10 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \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)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+5^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))+10*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2)))","A"
93,1,44,47,0.066000," ","int(x^3/arcsin(a*x)^(1/2),x)","\frac{\sqrt{\pi}\, \left(-\sqrt{2}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+4 \,\mathrm{S}\left(\frac{2 \sqrt{\arcsin \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)*arcsin(a*x)^(1/2))+4*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2)))","A"
94,1,51,51,0.068000," ","int(x^2/arcsin(a*x)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \left(-\sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+3 \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \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)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+3*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2)))","A"
95,1,21,20,0.052000," ","int(x/arcsin(a*x)^(1/2),x)","\frac{\mathrm{S}\left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\pi}}{2 a^{2}}"," ",0,"1/2*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2))*Pi^(1/2)/a^2","A"
96,1,25,24,0.047000," ","int(1/arcsin(a*x)^(1/2),x)","\frac{\FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}}{a}"," ",0,"FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*Pi^(1/2)/a","A"
97,0,0,12,0.108000," ","int(1/x/arcsin(a*x)^(1/2),x)","\int \frac{1}{x \sqrt{\arcsin \left(a x \right)}}\, dx"," ",0,"int(1/x/arcsin(a*x)^(1/2),x)","F"
98,0,0,12,0.213000," ","int(1/x^2/arcsin(a*x)^(1/2),x)","\int \frac{1}{x^{2} \sqrt{\arcsin \left(a x \right)}}\, dx"," ",0,"int(1/x^2/arcsin(a*x)^(1/2),x)","F"
99,1,184,127,0.142000," ","int(x^6/arcsin(a*x)^(3/2),x)","-\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{7}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{7}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}+5 \sqrt{5}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-9 \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+5 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+5 \sqrt{-a^{2} x^{2}+1}-9 \cos \left(3 \arcsin \left(a x \right)\right)+5 \cos \left(5 \arcsin \left(a x \right)\right)-\cos \left(7 \arcsin \left(a x \right)\right)}{32 a^{7} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/32/a^7*(-2^(1/2)*Pi^(1/2)*7^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*7^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(1/2)+5*5^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))-9*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))+5*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+5*(-a^2*x^2+1)^(1/2)-9*cos(3*arcsin(a*x))+5*cos(5*arcsin(a*x))-cos(7*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
100,1,121,99,0.112000," ","int(x^5/arcsin(a*x)^(3/2),x)","-\frac{8 \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}-2 \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{6}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}-10 \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+5 \sin \left(2 \arcsin \left(a x \right)\right)-4 \sin \left(4 \arcsin \left(a x \right)\right)+\sin \left(6 \arcsin \left(a x \right)\right)}{16 a^{6} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/16/a^6*(8*FresnelC(2*2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)-2*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*6^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(1/2)-10*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(1/2)*Pi^(1/2)+5*sin(2*arcsin(a*x))-4*sin(4*arcsin(a*x))+sin(6*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
101,1,141,102,0.079000," ","int(x^4/arcsin(a*x)^(3/2),x)","\frac{3 \sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-\sqrt{5}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-2 \sqrt{-a^{2} x^{2}+1}+3 \cos \left(3 \arcsin \left(a x \right)\right)-\cos \left(5 \arcsin \left(a x \right)\right)}{8 a^{5} \sqrt{\arcsin \left(a x \right)}}"," ",0,"1/8/a^5*(3*3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))-5^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))-2*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))-2*(-a^2*x^2+1)^(1/2)+3*cos(3*arcsin(a*x))-cos(5*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
102,1,83,72,0.063000," ","int(x^3/arcsin(a*x)^(3/2),x)","-\frac{2 \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}-4 \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+2 \sin \left(2 \arcsin \left(a x \right)\right)-\sin \left(4 \arcsin \left(a x \right)\right)}{4 a^{4} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/4/a^4/arcsin(a*x)^(1/2)*(2*FresnelC(2*2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)-4*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(1/2)*Pi^(1/2)+2*sin(2*arcsin(a*x))-sin(4*arcsin(a*x)))","A"
103,1,95,77,0.065000," ","int(x^2/arcsin(a*x)^(3/2),x)","\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-\sqrt{-a^{2} x^{2}+1}+\cos \left(3 \arcsin \left(a x \right)\right)}{2 a^{3} \sqrt{\arcsin \left(a x \right)}}"," ",0,"1/2/a^3*(3^(1/2)*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))-2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))-(-a^2*x^2+1)^(1/2)+cos(3*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
104,1,43,45,0.052000," ","int(x/arcsin(a*x)^(3/2),x)","-\frac{-2 \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}+\sin \left(2 \arcsin \left(a x \right)\right)}{a^{2} \sqrt{\arcsin \left(a x \right)}}"," ",0,"-1/a^2*(-2*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(1/2)*Pi^(1/2)+sin(2*arcsin(a*x)))/arcsin(a*x)^(1/2)","A"
105,1,65,49,0.055000," ","int(1/arcsin(a*x)^(3/2),x)","-\frac{\sqrt{2}\, \left(2 \arcsin \left(a x \right) \pi  \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{a \sqrt{\pi}\, \arcsin \left(a x \right)}"," ",0,"-1/a*2^(1/2)/Pi^(1/2)*(2*arcsin(a*x)*Pi*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))/arcsin(a*x)","A"
106,0,0,12,0.109000," ","int(1/x/arcsin(a*x)^(3/2),x)","\int \frac{1}{x \arcsin \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/arcsin(a*x)^(3/2),x)","F"
107,1,173,127,0.117000," ","int(x^4/arcsin(a*x)^(5/2),x)","-\frac{10 \sqrt{2}\, \sqrt{\pi}\, \sqrt{5}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}-18 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}+4 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}-4 a x \arcsin \left(a x \right)+18 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)-10 \arcsin \left(a x \right) \sin \left(5 \arcsin \left(a x \right)\right)+2 \sqrt{-a^{2} x^{2}+1}-3 \cos \left(3 \arcsin \left(a x \right)\right)+\cos \left(5 \arcsin \left(a x \right)\right)}{24 a^{5} \arcsin \left(a x \right)^{\frac{3}{2}}}"," ",0,"-1/24/a^5*(10*2^(1/2)*Pi^(1/2)*5^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)-18*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)+4*2^(1/2)*Pi^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)-4*a*x*arcsin(a*x)+18*arcsin(a*x)*sin(3*arcsin(a*x))-10*arcsin(a*x)*sin(5*arcsin(a*x))+2*(-a^2*x^2+1)^(1/2)-3*cos(3*arcsin(a*x))+cos(5*arcsin(a*x)))/arcsin(a*x)^(3/2)","A"
108,1,109,98,0.081000," ","int(x^3/arcsin(a*x)^(5/2),x)","-\frac{-16 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}+16 \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}+8 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)-8 \arcsin \left(a x \right) \cos \left(4 \arcsin \left(a x \right)\right)+2 \sin \left(2 \arcsin \left(a x \right)\right)-\sin \left(4 \arcsin \left(a x \right)\right)}{12 a^{4} \arcsin \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)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)+16*Pi^(1/2)*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(3/2)+8*arcsin(a*x)*cos(2*arcsin(a*x))-8*arcsin(a*x)*cos(4*arcsin(a*x))+2*sin(2*arcsin(a*x))-sin(4*arcsin(a*x)))/arcsin(a*x)^(3/2)","A"
109,1,117,99,0.069000," ","int(x^2/arcsin(a*x)^(5/2),x)","-\frac{-6 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}+2 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}-2 a x \arcsin \left(a x \right)+6 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)+\sqrt{-a^{2} x^{2}+1}-\cos \left(3 \arcsin \left(a x \right)\right)}{6 a^{3} \arcsin \left(a x \right)^{\frac{3}{2}}}"," ",0,"-1/6/a^3*(-6*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)+2*2^(1/2)*Pi^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(3/2)-2*a*x*arcsin(a*x)+6*arcsin(a*x)*sin(3*arcsin(a*x))+(-a^2*x^2+1)^(1/2)-cos(3*arcsin(a*x)))/arcsin(a*x)^(3/2)","A"
110,1,56,67,0.057000," ","int(x/arcsin(a*x)^(5/2),x)","-\frac{8 \sqrt{\pi}\, \mathrm{S}\left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{3}{2}}+4 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)+\sin \left(2 \arcsin \left(a x \right)\right)}{3 a^{2} \arcsin \left(a x \right)^{\frac{3}{2}}}"," ",0,"-1/3/a^2*(8*Pi^(1/2)*FresnelS(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(3/2)+4*arcsin(a*x)*cos(2*arcsin(a*x))+sin(2*arcsin(a*x)))/arcsin(a*x)^(3/2)","A"
111,1,83,58,0.059000," ","int(1/arcsin(a*x)^(5/2),x)","-\frac{\sqrt{2}\, \left(4 \arcsin \left(a x \right)^{2} \pi  \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)-2 \arcsin \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a +\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{3 a \sqrt{\pi}\, \arcsin \left(a x \right)^{2}}"," ",0,"-1/3/a*2^(1/2)/Pi^(1/2)*(4*arcsin(a*x)^2*Pi*FresnelC(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))-2*arcsin(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a+2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))/arcsin(a*x)^2","A"
112,0,0,12,0.099000," ","int(1/x/arcsin(a*x)^(5/2),x)","\int \frac{1}{x \arcsin \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/arcsin(a*x)^(5/2),x)","F"
113,1,225,179,0.126000," ","int(x^4/arcsin(a*x)^(7/2),x)","-\frac{108 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}-100 \sqrt{2}\, \sqrt{\pi}\, \sqrt{5}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{5}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}-8 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}-8 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+108 \arcsin \left(a x \right)^{2} \cos \left(3 \arcsin \left(a x \right)\right)-100 \arcsin \left(a x \right)^{2} \cos \left(5 \arcsin \left(a x \right)\right)-4 a x \arcsin \left(a x \right)+18 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)-10 \arcsin \left(a x \right) \sin \left(5 \arcsin \left(a x \right)\right)+6 \sqrt{-a^{2} x^{2}+1}-9 \cos \left(3 \arcsin \left(a x \right)\right)+3 \cos \left(5 \arcsin \left(a x \right)\right)}{120 a^{5} \arcsin \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/120/a^5*(108*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)-100*2^(1/2)*Pi^(1/2)*5^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*5^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)-8*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)-8*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+108*arcsin(a*x)^2*cos(3*arcsin(a*x))-100*arcsin(a*x)^2*cos(5*arcsin(a*x))-4*a*x*arcsin(a*x)+18*arcsin(a*x)*sin(3*arcsin(a*x))-10*arcsin(a*x)*sin(5*arcsin(a*x))+6*(-a^2*x^2+1)^(1/2)-9*cos(3*arcsin(a*x))+3*cos(5*arcsin(a*x)))/arcsin(a*x)^(5/2)","A"
114,1,139,148,0.090000," ","int(x^3/arcsin(a*x)^(7/2),x)","-\frac{-128 \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}+64 \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}+64 \sin \left(4 \arcsin \left(a x \right)\right) \arcsin \left(a x \right)^{2}-32 \sin \left(2 \arcsin \left(a x \right)\right) \arcsin \left(a x \right)^{2}-8 \arcsin \left(a x \right) \cos \left(4 \arcsin \left(a x \right)\right)+8 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)-3 \sin \left(4 \arcsin \left(a x \right)\right)+6 \sin \left(2 \arcsin \left(a x \right)\right)}{60 a^{4} \arcsin \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)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)+64*Pi^(1/2)*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(5/2)+64*sin(4*arcsin(a*x))*arcsin(a*x)^2-32*sin(2*arcsin(a*x))*arcsin(a*x)^2-8*arcsin(a*x)*cos(4*arcsin(a*x))+8*arcsin(a*x)*cos(2*arcsin(a*x))-3*sin(4*arcsin(a*x))+6*sin(2*arcsin(a*x)))/arcsin(a*x)^(5/2)","A"
115,1,154,149,0.082000," ","int(x^2/arcsin(a*x)^(7/2),x)","-\frac{36 \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}-4 \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}-4 \arcsin \left(a x \right)^{2} \sqrt{-a^{2} x^{2}+1}+36 \arcsin \left(a x \right)^{2} \cos \left(3 \arcsin \left(a x \right)\right)-2 a x \arcsin \left(a x \right)+6 \arcsin \left(a x \right) \sin \left(3 \arcsin \left(a x \right)\right)+3 \sqrt{-a^{2} x^{2}+1}-3 \cos \left(3 \arcsin \left(a x \right)\right)}{30 a^{3} \arcsin \left(a x \right)^{\frac{5}{2}}}"," ",0,"-1/30/a^3*(36*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)-4*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))*arcsin(a*x)^(5/2)-4*arcsin(a*x)^2*(-a^2*x^2+1)^(1/2)+36*arcsin(a*x)^2*cos(3*arcsin(a*x))-2*a*x*arcsin(a*x)+6*arcsin(a*x)*sin(3*arcsin(a*x))+3*(-a^2*x^2+1)^(1/2)-3*cos(3*arcsin(a*x)))/arcsin(a*x)^(5/2)","A"
116,1,73,91,0.059000," ","int(x/arcsin(a*x)^(7/2),x)","\frac{-32 \sqrt{\pi}\, \FresnelC \left(\frac{2 \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right) \arcsin \left(a x \right)^{\frac{5}{2}}+16 \sin \left(2 \arcsin \left(a x \right)\right) \arcsin \left(a x \right)^{2}-4 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)-3 \sin \left(2 \arcsin \left(a x \right)\right)}{15 a^{2} \arcsin \left(a x \right)^{\frac{5}{2}}}"," ",0,"1/15/a^2*(-32*Pi^(1/2)*FresnelC(2*arcsin(a*x)^(1/2)/Pi^(1/2))*arcsin(a*x)^(5/2)+16*sin(2*arcsin(a*x))*arcsin(a*x)^2-4*arcsin(a*x)*cos(2*arcsin(a*x))-3*sin(2*arcsin(a*x)))/arcsin(a*x)^(5/2)","A"
117,1,110,81,0.062000," ","int(1/arcsin(a*x)^(7/2),x)","\frac{\sqrt{2}\, \left(8 \arcsin \left(a x \right)^{3} \pi  \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arcsin \left(a x \right)}}{\sqrt{\pi}}\right)+4 \arcsin \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}+2 \arcsin \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x a -3 \sqrt{2}\, \sqrt{\arcsin \left(a x \right)}\, \sqrt{\pi}\, \sqrt{-a^{2} x^{2}+1}\right)}{15 a \sqrt{\pi}\, \arcsin \left(a x \right)^{3}}"," ",0,"1/15/a*2^(1/2)/Pi^(1/2)/arcsin(a*x)^3*(8*arcsin(a*x)^3*Pi*FresnelS(2^(1/2)/Pi^(1/2)*arcsin(a*x)^(1/2))+4*arcsin(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2)+2*arcsin(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x*a-3*2^(1/2)*arcsin(a*x)^(1/2)*Pi^(1/2)*(-a^2*x^2+1)^(1/2))","A"
118,0,0,12,0.100000," ","int(1/x/arcsin(a*x)^(7/2),x)","\int \frac{1}{x \arcsin \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/x/arcsin(a*x)^(7/2),x)","F"
119,0,0,62,1.172000," ","int((b*x)^m*arcsin(a*x)^4,x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)^{4}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^4,x)","F"
120,0,0,62,0.810000," ","int((b*x)^m*arcsin(a*x)^3,x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)^{3}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^3,x)","F"
121,0,0,132,0.768000," ","int((b*x)^m*arcsin(a*x)^2,x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)^{2}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^2,x)","F"
122,0,0,65,0.797000," ","int((b*x)^m*arcsin(a*x),x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)\, dx"," ",0,"int((b*x)^m*arcsin(a*x),x)","F"
123,0,0,14,0.653000," ","int((b*x)^m/arcsin(a*x),x)","\int \frac{\left(b x \right)^{m}}{\arcsin \left(a x \right)}\, dx"," ",0,"int((b*x)^m/arcsin(a*x),x)","F"
124,0,0,14,0.700000," ","int((b*x)^m/arcsin(a*x)^2,x)","\int \frac{\left(b x \right)^{m}}{\arcsin \left(a x \right)^{2}}\, dx"," ",0,"int((b*x)^m/arcsin(a*x)^2,x)","F"
125,0,0,14,0.106000," ","int((b*x)^m*arcsin(a*x)^(3/2),x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^(3/2),x)","F"
126,0,0,14,0.091000," ","int((b*x)^m*arcsin(a*x)^(1/2),x)","\int \left(b x \right)^{m} \sqrt{\arcsin \left(a x \right)}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^(1/2),x)","F"
127,0,0,14,0.090000," ","int((b*x)^m/arcsin(a*x)^(1/2),x)","\int \frac{\left(b x \right)^{m}}{\sqrt{\arcsin \left(a x \right)}}\, dx"," ",0,"int((b*x)^m/arcsin(a*x)^(1/2),x)","F"
128,0,0,14,0.088000," ","int((b*x)^m/arcsin(a*x)^(3/2),x)","\int \frac{\left(b x \right)^{m}}{\arcsin \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x)^m/arcsin(a*x)^(3/2),x)","F"
129,0,0,14,0.984000," ","int((b*x)^m*arcsin(a*x)^n,x)","\int \left(b x \right)^{m} \arcsin \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^m*arcsin(a*x)^n,x)","F"
130,0,0,163,0.256000," ","int(x^3*arcsin(a*x)^n,x)","\int x^{3} \arcsin \left(a x \right)^{n}\, dx"," ",0,"int(x^3*arcsin(a*x)^n,x)","F"
131,0,0,151,0.229000," ","int(x^2*arcsin(a*x)^n,x)","\int x^{2} \arcsin \left(a x \right)^{n}\, dx"," ",0,"int(x^2*arcsin(a*x)^n,x)","F"
132,1,138,81,0.166000," ","int(x*arcsin(a*x)^n,x)","\frac{\sqrt{\pi}\, \left(\frac{2 \arcsin \left(a x \right)^{1+n} \sin \left(2 \arcsin \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right)}-\frac{2^{\frac{1}{2}-n} \sqrt{\arcsin \left(a x \right)}\, \LommelS1 \left(n +\frac{3}{2}, \frac{3}{2}, 2 \arcsin \left(a x \right)\right) \sin \left(2 \arcsin \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 \arcsin \left(a x \right) \cos \left(2 \arcsin \left(a x \right)\right)-\sin \left(2 \arcsin \left(a x \right)\right)\right) \LommelS1 \left(n +\frac{1}{2}, \frac{1}{2}, 2 \arcsin \left(a x \right)\right)}{\sqrt{\pi}\, \left(2+n \right) \sqrt{\arcsin \left(a x \right)}}\right)}{4 a^{2}}"," ",0,"1/4*Pi^(1/2)/a^2*(2/Pi^(1/2)/(2+n)*arcsin(a*x)^(1+n)*sin(2*arcsin(a*x))-2^(1/2-n)/Pi^(1/2)/(2+n)*arcsin(a*x)^(1/2)*LommelS1(n+3/2,3/2,2*arcsin(a*x))*sin(2*arcsin(a*x))-3*2^(-3/2-n)/Pi^(1/2)/(2+n)/arcsin(a*x)^(1/2)*(4/3+2/3*n)*(2*arcsin(a*x)*cos(2*arcsin(a*x))-sin(2*arcsin(a*x)))*LommelS1(n+1/2,1/2,2*arcsin(a*x)))","C"
133,1,240,69,0.114000," ","int(arcsin(a*x)^n,x)","\frac{2^{n} \sqrt{\pi}\, \left(\frac{2^{-1-n} \arcsin \left(a x \right)^{n} \left(6+2 n \right) a x}{\sqrt{\pi}\, \left(1+n \right) \left(3+n \right)}+\frac{\arcsin \left(a x \right)^{n} 2^{-n} \sqrt{-a^{2} x^{2}+1}\, \left(a^{2} x^{2} \arcsin \left(a x \right)-\arcsin \left(a x \right)+a x \sqrt{-a^{2} x^{2}+1}\right)}{\sqrt{\pi}\, \left(1+n \right) \left(a^{2} x^{2}-1\right)}+\frac{2^{-n} \sqrt{\arcsin \left(a x \right)}\, n \LommelS1 \left(n +\frac{1}{2}, \frac{3}{2}, \arcsin \left(a x \right)\right) a x}{\sqrt{\pi}\, \left(1+n \right)}-\frac{2^{-n} \sqrt{-a^{2} x^{2}+1}\, \left(a^{2} x^{2} \arcsin \left(a x \right)-\arcsin \left(a x \right)+a x \sqrt{-a^{2} x^{2}+1}\right) \LommelS1 \left(n +\frac{3}{2}, \frac{1}{2}, \arcsin \left(a x \right)\right)}{\sqrt{\pi}\, \left(1+n \right) \sqrt{\arcsin \left(a x \right)}\, \left(a^{2} x^{2}-1\right)}\right)}{a}"," ",0,"2^n*Pi^(1/2)/a*(2^(-1-n)/Pi^(1/2)/(1+n)*arcsin(a*x)^n*(6+2*n)/(3+n)*a*x+1/Pi^(1/2)/(1+n)*arcsin(a*x)^n*2^(-n)*(-a^2*x^2+1)^(1/2)/(a^2*x^2-1)*(a^2*x^2*arcsin(a*x)-arcsin(a*x)+a*x*(-a^2*x^2+1)^(1/2))+2^(-n)/Pi^(1/2)/(1+n)*arcsin(a*x)^(1/2)*n*LommelS1(n+1/2,3/2,arcsin(a*x))*a*x-2^(-n)/Pi^(1/2)/(1+n)/arcsin(a*x)^(1/2)*(-a^2*x^2+1)^(1/2)/(a^2*x^2-1)*(a^2*x^2*arcsin(a*x)-arcsin(a*x)+a*x*(-a^2*x^2+1)^(1/2))*LommelS1(n+3/2,1/2,arcsin(a*x)))","C"
134,0,0,12,0.145000," ","int(arcsin(a*x)^n/x,x)","\int \frac{\arcsin \left(a x \right)^{n}}{x}\, dx"," ",0,"int(arcsin(a*x)^n/x,x)","F"
135,0,0,12,0.120000," ","int(arcsin(a*x)^n/x^2,x)","\int \frac{\arcsin \left(a x \right)^{n}}{x^{2}}\, dx"," ",0,"int(arcsin(a*x)^n/x^2,x)","F"
136,0,0,14,0.127000," ","int((b*x)^(3/2)*arcsin(a*x)^n,x)","\int \left(b x \right)^{\frac{3}{2}} \arcsin \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^(3/2)*arcsin(a*x)^n,x)","F"
137,0,0,14,0.107000," ","int((b*x)^(1/2)*arcsin(a*x)^n,x)","\int \sqrt{b x}\, \arcsin \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^(1/2)*arcsin(a*x)^n,x)","F"
138,0,0,14,0.104000," ","int(arcsin(a*x)^n/(b*x)^(1/2),x)","\int \frac{\arcsin \left(a x \right)^{n}}{\sqrt{b x}}\, dx"," ",0,"int(arcsin(a*x)^n/(b*x)^(1/2),x)","F"
139,0,0,14,0.097000," ","int(arcsin(a*x)^n/(b*x)^(3/2),x)","\int \frac{\arcsin \left(a x \right)^{n}}{\left(b x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(arcsin(a*x)^n/(b*x)^(3/2),x)","F"
140,1,72,64,0.008000," ","int(x^3*(a+b*arcsin(c*x)),x)","\frac{\frac{c^{4} x^{4} a}{4}+b \left(\frac{c^{4} x^{4} \arcsin \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*arcsin(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"
141,1,64,50,0.005000," ","int(x^2*(a+b*arcsin(c*x)),x)","\frac{\frac{c^{3} x^{3} a}{3}+b \left(\frac{c^{3} x^{3} \arcsin \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*arcsin(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"
142,1,52,43,0.007000," ","int(x*(a+b*arcsin(c*x)),x)","\frac{\frac{c^{2} x^{2} a}{2}+b \left(\frac{c^{2} x^{2} \arcsin \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*arcsin(c*x)+1/4*c*x*(-c^2*x^2+1)^(1/2)-1/4*arcsin(c*x)))","A"
143,1,30,28,0.003000," ","int(a+b*arcsin(c*x),x)","a x +\frac{b \left(c x \arcsin \left(c x \right)+\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"a*x+b/c*(c*x*arcsin(c*x)+(-c^2*x^2+1)^(1/2))","A"
144,1,122,77,0.049000," ","int((a+b*arcsin(c*x))/x,x)","a \ln \left(c x \right)-\frac{i b \arcsin \left(c x \right)^{2}}{2}+b \arcsin \left(c x \right) \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+b \arcsin \left(c x \right) \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-i b \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)-i b \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)"," ",0,"a*ln(c*x)-1/2*I*b*arcsin(c*x)^2+b*arcsin(c*x)*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+b*arcsin(c*x)*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-I*b*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))-I*b*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))","A"
145,1,43,33,0.004000," ","int((a+b*arcsin(c*x))/x^2,x)","c \left(-\frac{a}{c x}+b \left(-\frac{\arcsin \left(c x \right)}{c x}-\arctanh \left(\frac{1}{\sqrt{-c^{2} x^{2}+1}}\right)\right)\right)"," ",0,"c*(-a/c/x+b*(-1/c/x*arcsin(c*x)-arctanh(1/(-c^2*x^2+1)^(1/2))))","A"
146,1,50,36,0.006000," ","int((a+b*arcsin(c*x))/x^3,x)","c^{2} \left(-\frac{a}{2 c^{2} x^{2}}+b \left(-\frac{\arcsin \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*arcsin(c*x)/c^2/x^2-1/2/c/x*(-c^2*x^2+1)^(1/2)))","A"
147,1,65,55,0.005000," ","int((a+b*arcsin(c*x))/x^4,x)","c^{3} \left(-\frac{a}{3 c^{3} x^{3}}+b \left(-\frac{\arcsin \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*arcsin(c*x)/c^3/x^3-1/6/c^2/x^2*(-c^2*x^2+1)^(1/2)-1/6*arctanh(1/(-c^2*x^2+1)^(1/2))))","A"
148,1,126,88,0.034000," ","int(x^2*(a+b*arcsin(c*x))^2,x)","\frac{\frac{a^{2} c^{3} x^{3}}{3}+b^{2} \left(\frac{c^{3} x^{3} \arcsin \left(c x \right)^{2}}{3}+\frac{2 \arcsin \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} \arcsin \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*a^2*c^3*x^3+b^2*(1/3*c^3*x^3*arcsin(c*x)^2+2/9*arcsin(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*arcsin(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"
149,1,120,66,0.035000," ","int(x*(a+b*arcsin(c*x))^2,x)","\frac{\frac{a^{2} c^{2} x^{2}}{2}+b^{2} \left(\frac{\left(c^{2} x^{2}-1\right) \arcsin \left(c x \right)^{2}}{2}+\frac{\arcsin \left(c x \right) \left(c x \sqrt{-c^{2} x^{2}+1}+\arcsin \left(c x \right)\right)}{2}-\frac{\arcsin \left(c x \right)^{2}}{4}-\frac{c^{2} x^{2}}{4}\right)+2 a b \left(\frac{c^{2} x^{2} \arcsin \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*a^2*c^2*x^2+b^2*(1/2*(c^2*x^2-1)*arcsin(c*x)^2+1/2*arcsin(c*x)*(c*x*(-c^2*x^2+1)^(1/2)+arcsin(c*x))-1/4*arcsin(c*x)^2-1/4*c^2*x^2)+2*a*b*(1/2*c^2*x^2*arcsin(c*x)+1/4*c*x*(-c^2*x^2+1)^(1/2)-1/4*arcsin(c*x)))","A"
150,1,72,45,0.038000," ","int((a+b*arcsin(c*x))^2,x)","\frac{c x \,a^{2}+b^{2} \left(c x \arcsin \left(c x \right)^{2}-2 c x +2 \arcsin \left(c x \right) \sqrt{-c^{2} x^{2}+1}\right)+2 a b \left(c x \arcsin \left(c x \right)+\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"1/c*(c*x*a^2+b^2*(c*x*arcsin(c*x)^2-2*c*x+2*arcsin(c*x)*(-c^2*x^2+1)^(1/2))+2*a*b*(c*x*arcsin(c*x)+(-c^2*x^2+1)^(1/2)))","A"
151,1,319,114,0.046000," ","int((a+b*arcsin(c*x))^2/x,x)","a^{2} \ln \left(c x \right)-\frac{i b^{2} \arcsin \left(c x \right)^{3}}{3}+b^{2} \arcsin \left(c x \right)^{2} \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)-2 i b^{2} \arcsin \left(c x \right) \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+2 b^{2} \polylog \left(3, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+b^{2} \arcsin \left(c x \right)^{2} \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-2 i b^{2} \arcsin \left(c x \right) \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)+2 b^{2} \polylog \left(3, i c x +\sqrt{-c^{2} x^{2}+1}\right)-i a b \arcsin \left(c x \right)^{2}-2 i a b \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)-2 i a b \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+2 a b \arcsin \left(c x \right) \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)+2 a b \arcsin \left(c x \right) \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)"," ",0,"a^2*ln(c*x)-1/3*I*b^2*arcsin(c*x)^3+b^2*arcsin(c*x)^2*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))-2*I*b^2*arcsin(c*x)*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))+2*b^2*polylog(3,-I*c*x-(-c^2*x^2+1)^(1/2))+b^2*arcsin(c*x)^2*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-2*I*b^2*arcsin(c*x)*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))+2*b^2*polylog(3,I*c*x+(-c^2*x^2+1)^(1/2))-I*a*b*arcsin(c*x)^2-2*I*a*b*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))-2*I*a*b*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))+2*a*b*arcsin(c*x)*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))+2*a*b*arcsin(c*x)*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))","B"
152,1,171,103,0.028000," ","int((a+b*arcsin(c*x))^2/x^2,x)","-\frac{a^{2}}{x}-\frac{b^{2} \arcsin \left(c x \right)^{2}}{x}+2 c \,b^{2} \arcsin \left(c x \right) \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-2 c \,b^{2} \arcsin \left(c x \right) \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+2 i c \,b^{2} \dilog \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)-2 i c \,b^{2} \dilog \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-\frac{2 a b \arcsin \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*arcsin(c*x)^2+2*c*b^2*arcsin(c*x)*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-2*c*b^2*arcsin(c*x)*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+2*I*c*b^2*dilog(1+I*c*x+(-c^2*x^2+1)^(1/2))-2*I*c*b^2*dilog(1-I*c*x-(-c^2*x^2+1)^(1/2))-2*a*b/x*arcsin(c*x)-2*c*a*b*arctanh(1/(-c^2*x^2+1)^(1/2))","A"
153,1,235,154,0.034000," ","int(x^2*(a+b*arcsin(c*x))^3,x)","\frac{\frac{a^{3} c^{3} x^{3}}{3}+b^{3} \left(\frac{c^{3} x^{3} \arcsin \left(c x \right)^{3}}{3}+\frac{\arcsin \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 \arcsin \left(c x \right)}{3}-\frac{2 c^{3} x^{3} \arcsin \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{c^{3} x^{3} \arcsin \left(c x \right)^{2}}{3}+\frac{2 \arcsin \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} \arcsin \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*a^3*c^3*x^3+b^3*(1/3*c^3*x^3*arcsin(c*x)^3+1/3*arcsin(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*arcsin(c*x)-2/9*c^3*x^3*arcsin(c*x)-2/27*(c^2*x^2+2)*(-c^2*x^2+1)^(1/2))+3*a*b^2*(1/3*c^3*x^3*arcsin(c*x)^2+2/9*arcsin(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*arcsin(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"
154,1,219,109,0.039000," ","int(x*(a+b*arcsin(c*x))^3,x)","\frac{\frac{c^{2} x^{2} a^{3}}{2}+b^{3} \left(\frac{\left(c^{2} x^{2}-1\right) \arcsin \left(c x \right)^{3}}{2}+\frac{3 \arcsin \left(c x \right)^{2} \left(c x \sqrt{-c^{2} x^{2}+1}+\arcsin \left(c x \right)\right)}{4}-\frac{3 \left(c^{2} x^{2}-1\right) \arcsin \left(c x \right)}{4}-\frac{3 c x \sqrt{-c^{2} x^{2}+1}}{8}-\frac{3 \arcsin \left(c x \right)}{8}-\frac{\arcsin \left(c x \right)^{3}}{2}\right)+3 a \,b^{2} \left(\frac{\left(c^{2} x^{2}-1\right) \arcsin \left(c x \right)^{2}}{2}+\frac{\arcsin \left(c x \right) \left(c x \sqrt{-c^{2} x^{2}+1}+\arcsin \left(c x \right)\right)}{2}-\frac{\arcsin \left(c x \right)^{2}}{4}-\frac{c^{2} x^{2}}{4}\right)+3 a^{2} b \left(\frac{c^{2} x^{2} \arcsin \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^2-1)*arcsin(c*x)^3+3/4*arcsin(c*x)^2*(c*x*(-c^2*x^2+1)^(1/2)+arcsin(c*x))-3/4*(c^2*x^2-1)*arcsin(c*x)-3/8*c*x*(-c^2*x^2+1)^(1/2)-3/8*arcsin(c*x)-1/2*arcsin(c*x)^3)+3*a*b^2*(1/2*(c^2*x^2-1)*arcsin(c*x)^2+1/2*arcsin(c*x)*(c*x*(-c^2*x^2+1)^(1/2)+arcsin(c*x))-1/4*arcsin(c*x)^2-1/4*c^2*x^2)+3*a^2*b*(1/2*c^2*x^2*arcsin(c*x)+1/4*c*x*(-c^2*x^2+1)^(1/2)-1/4*arcsin(c*x)))","A"
155,1,132,78,0.040000," ","int((a+b*arcsin(c*x))^3,x)","\frac{c x \,a^{3}+b^{3} \left(c x \arcsin \left(c x \right)^{3}+3 \arcsin \left(c x \right)^{2} \sqrt{-c^{2} x^{2}+1}-6 \sqrt{-c^{2} x^{2}+1}-6 c x \arcsin \left(c x \right)\right)+3 a \,b^{2} \left(c x \arcsin \left(c x \right)^{2}-2 c x +2 \arcsin \left(c x \right) \sqrt{-c^{2} x^{2}+1}\right)+3 a^{2} b \left(c x \arcsin \left(c x \right)+\sqrt{-c^{2} x^{2}+1}\right)}{c}"," ",0,"1/c*(c*x*a^3+b^3*(c*x*arcsin(c*x)^3+3*arcsin(c*x)^2*(-c^2*x^2+1)^(1/2)-6*(-c^2*x^2+1)^(1/2)-6*c*x*arcsin(c*x))+3*a*b^2*(c*x*arcsin(c*x)^2-2*c*x+2*arcsin(c*x)*(-c^2*x^2+1)^(1/2))+3*a^2*b*(c*x*arcsin(c*x)+(-c^2*x^2+1)^(1/2)))","A"
156,1,592,152,0.032000," ","int((a+b*arcsin(c*x))^3/x,x)","a^{3} \ln \left(c x \right)-6 i a \,b^{2} \arcsin \left(c x \right) \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)+b^{3} \arcsin \left(c x \right)^{3} \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)-3 i a^{2} b \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+6 b^{3} \arcsin \left(c x \right) \polylog \left(3, -i c x -\sqrt{-c^{2} x^{2}+1}\right)-3 i b^{3} \arcsin \left(c x \right)^{2} \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+b^{3} \arcsin \left(c x \right)^{3} \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)+6 i b^{3} \polylog \left(4, i c x +\sqrt{-c^{2} x^{2}+1}\right)+6 b^{3} \arcsin \left(c x \right) \polylog \left(3, i c x +\sqrt{-c^{2} x^{2}+1}\right)-3 i b^{3} \arcsin \left(c x \right)^{2} \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)-\frac{i b^{3} \arcsin \left(c x \right)^{4}}{4}-i a \,b^{2} \arcsin \left(c x \right)^{3}+3 a \,b^{2} \arcsin \left(c x \right)^{2} \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-6 i a \,b^{2} \arcsin \left(c x \right) \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+3 a \,b^{2} \arcsin \left(c x \right)^{2} \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+6 a \,b^{2} \polylog \left(3, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+6 a \,b^{2} \polylog \left(3, i c x +\sqrt{-c^{2} x^{2}+1}\right)-3 i a^{2} b \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)+3 a^{2} b \arcsin \left(c x \right) \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+3 a^{2} b \arcsin \left(c x \right) \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)+6 i b^{3} \polylog \left(4, -i c x -\sqrt{-c^{2} x^{2}+1}\right)-\frac{3 i a^{2} b \arcsin \left(c x \right)^{2}}{2}"," ",0,"a^3*ln(c*x)+6*I*b^3*polylog(4,-I*c*x-(-c^2*x^2+1)^(1/2))+b^3*arcsin(c*x)^3*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))-6*I*a*b^2*arcsin(c*x)*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))+6*b^3*arcsin(c*x)*polylog(3,-I*c*x-(-c^2*x^2+1)^(1/2))-6*I*a*b^2*arcsin(c*x)*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))+b^3*arcsin(c*x)^3*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-1/4*I*b^3*arcsin(c*x)^4+6*b^3*arcsin(c*x)*polylog(3,I*c*x+(-c^2*x^2+1)^(1/2))-3*I*a^2*b*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))-I*a*b^2*arcsin(c*x)^3-3*I*b^3*arcsin(c*x)^2*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))+3*a*b^2*arcsin(c*x)^2*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-3*I*b^3*arcsin(c*x)^2*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))+3*a*b^2*arcsin(c*x)^2*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+6*a*b^2*polylog(3,-I*c*x-(-c^2*x^2+1)^(1/2))+6*a*b^2*polylog(3,I*c*x+(-c^2*x^2+1)^(1/2))+6*I*b^3*polylog(4,I*c*x+(-c^2*x^2+1)^(1/2))+3*a^2*b*arcsin(c*x)*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+3*a^2*b*arcsin(c*x)*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-3/2*I*a^2*b*arcsin(c*x)^2-3*I*a^2*b*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))","B"
157,1,378,175,0.102000," ","int((a+b*arcsin(c*x))^3/x^2,x)","-\frac{a^{3}}{x}-\frac{b^{3} \arcsin \left(c x \right)^{3}}{x}-3 c \,b^{3} \arcsin \left(c x \right)^{2} \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+6 i c \,b^{3} \arcsin \left(c x \right) \polylog \left(2, -i c x -\sqrt{-c^{2} x^{2}+1}\right)-6 b^{3} c \polylog \left(3, -i c x -\sqrt{-c^{2} x^{2}+1}\right)+3 c \,b^{3} \arcsin \left(c x \right)^{2} \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-6 i c \,b^{3} \arcsin \left(c x \right) \polylog \left(2, i c x +\sqrt{-c^{2} x^{2}+1}\right)+6 b^{3} c \polylog \left(3, i c x +\sqrt{-c^{2} x^{2}+1}\right)-\frac{3 a \,b^{2} \arcsin \left(c x \right)^{2}}{x}+6 c a \,b^{2} \arcsin \left(c x \right) \ln \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-6 c a \,b^{2} \arcsin \left(c x \right) \ln \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)+6 i c a \,b^{2} \dilog \left(1+i c x +\sqrt{-c^{2} x^{2}+1}\right)-6 i c a \,b^{2} \dilog \left(1-i c x -\sqrt{-c^{2} x^{2}+1}\right)-\frac{3 a^{2} b \arcsin \left(c x \right)}{x}-3 c \,a^{2} b \arctanh \left(\frac{1}{\sqrt{-c^{2} x^{2}+1}}\right)"," ",0,"-a^3/x-b^3/x*arcsin(c*x)^3-3*c*b^3*arcsin(c*x)^2*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+6*I*c*b^3*arcsin(c*x)*polylog(2,-I*c*x-(-c^2*x^2+1)^(1/2))-6*b^3*c*polylog(3,-I*c*x-(-c^2*x^2+1)^(1/2))+3*c*b^3*arcsin(c*x)^2*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-6*I*c*b^3*arcsin(c*x)*polylog(2,I*c*x+(-c^2*x^2+1)^(1/2))+6*b^3*c*polylog(3,I*c*x+(-c^2*x^2+1)^(1/2))-3*a*b^2/x*arcsin(c*x)^2+6*c*a*b^2*arcsin(c*x)*ln(1-I*c*x-(-c^2*x^2+1)^(1/2))-6*c*a*b^2*arcsin(c*x)*ln(1+I*c*x+(-c^2*x^2+1)^(1/2))+6*I*c*a*b^2*dilog(1+I*c*x+(-c^2*x^2+1)^(1/2))-6*I*c*a*b^2*dilog(1-I*c*x-(-c^2*x^2+1)^(1/2))-3*a^2*b/x*arcsin(c*x)-3*c*a^2*b*arctanh(1/(-c^2*x^2+1)^(1/2))","B"
158,1,102,113,0.033000," ","int(x^2/(a+b*arcsin(c*x)),x)","\frac{\frac{\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{4 b}+\frac{\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{4 b}-\frac{\Si \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right)}{4 b}-\frac{\Ci \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right)}{4 b}}{c^{3}}"," ",0,"1/c^3*(1/4*Si(arcsin(c*x)+a/b)*sin(a/b)/b+1/4*Ci(arcsin(c*x)+a/b)*cos(a/b)/b-1/4*Si(3*arcsin(c*x)+3*a/b)*sin(3*a/b)/b-1/4*Ci(3*arcsin(c*x)+3*a/b)*cos(3*a/b)/b)","A"
159,1,58,59,0.034000," ","int(x/(a+b*arcsin(c*x)),x)","\frac{\frac{\Si \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right)}{2 b}-\frac{\Ci \left(2 \arcsin \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*arcsin(c*x)+2*a/b)*cos(2*a/b)/b-1/2*Ci(2*arcsin(c*x)+2*a/b)*sin(2*a/b)/b)","A"
160,1,48,53,0.037000," ","int(1/(a+b*arcsin(c*x)),x)","\frac{\frac{\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{b}+\frac{\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)}{b}}{c}"," ",0,"1/c*(Si(arcsin(c*x)+a/b)*sin(a/b)/b+Ci(arcsin(c*x)+a/b)*cos(a/b)/b)","A"
161,0,0,16,0.214000," ","int(1/x/(a+b*arcsin(c*x)),x)","\int \frac{1}{x \left(a +b \arcsin \left(c x \right)\right)}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x)),x)","F"
162,0,0,16,0.345000," ","int(1/x^2/(a+b*arcsin(c*x)),x)","\int \frac{1}{x^{2} \left(a +b \arcsin \left(c x \right)\right)}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x)),x)","F"
163,1,149,146,0.037000," ","int(x^2/(a+b*arcsin(c*x))^2,x)","\frac{-\frac{\sqrt{-c^{2} x^{2}+1}}{4 \left(a +b \arcsin \left(c x \right)\right) b}-\frac{\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)-\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{4 b^{2}}+\frac{\cos \left(3 \arcsin \left(c x \right)\right)}{4 \left(a +b \arcsin \left(c x \right)\right) b}+\frac{\frac{3 \Si \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right)}{4}-\frac{3 \Ci \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right)}{4}}{b^{2}}}{c^{3}}"," ",0,"1/c^3*(-1/4*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))/b-1/4*(Si(arcsin(c*x)+a/b)*cos(a/b)-Ci(arcsin(c*x)+a/b)*sin(a/b))/b^2+1/4*cos(3*arcsin(c*x))/(a+b*arcsin(c*x))/b+3/4*(Si(3*arcsin(c*x)+3*a/b)*cos(3*a/b)-Ci(3*arcsin(c*x)+3*a/b)*sin(3*a/b))/b^2)","A"
164,1,77,88,0.030000," ","int(x/(a+b*arcsin(c*x))^2,x)","\frac{-\frac{\sin \left(2 \arcsin \left(c x \right)\right)}{2 \left(a +b \arcsin \left(c x \right)\right) b}+\frac{\Si \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right)+\Ci \left(2 \arcsin \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*arcsin(c*x))/(a+b*arcsin(c*x))/b+(Si(2*arcsin(c*x)+2*a/b)*sin(2*a/b)+Ci(2*arcsin(c*x)+2*a/b)*cos(2*a/b))/b^2)","A"
165,1,76,84,0.042000," ","int(1/(a+b*arcsin(c*x))^2,x)","\frac{-\frac{\sqrt{-c^{2} x^{2}+1}}{\left(a +b \arcsin \left(c x \right)\right) b}-\frac{\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right)-\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right)}{b^{2}}}{c}"," ",0,"1/c*(-(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))/b-(Si(arcsin(c*x)+a/b)*cos(a/b)-Ci(arcsin(c*x)+a/b)*sin(a/b))/b^2)","A"
166,0,0,16,0.228000," ","int(1/x/(a+b*arcsin(c*x))^2,x)","\int \frac{1}{x \left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x))^2,x)","F"
167,0,0,16,0.447000," ","int(1/x^2/(a+b*arcsin(c*x))^2,x)","\int \frac{1}{x^{2} \left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x))^2,x)","F"
168,1,290,183,0.045000," ","int(x^2/(a+b*arcsin(c*x))^3,x)","\frac{-\frac{\sqrt{-c^{2} x^{2}+1}}{8 \left(a +b \arcsin \left(c x \right)\right)^{2} b}-\frac{\arcsin \left(c x \right) \Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) b +\arcsin \left(c x \right) \Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) b +\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) a +\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) a -x b c}{8 \left(a +b \arcsin \left(c x \right)\right) b^{3}}+\frac{\cos \left(3 \arcsin \left(c x \right)\right)}{8 \left(a +b \arcsin \left(c x \right)\right)^{2} b}+\frac{\frac{9 \arcsin \left(c x \right) \Si \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right) b}{8}+\frac{9 \arcsin \left(c x \right) \Ci \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right) b}{8}+\frac{9 \Si \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \sin \left(\frac{3 a}{b}\right) a}{8}+\frac{9 \Ci \left(3 \arcsin \left(c x \right)+\frac{3 a}{b}\right) \cos \left(\frac{3 a}{b}\right) a}{8}-\frac{3 \sin \left(3 \arcsin \left(c x \right)\right) b}{8}}{\left(a +b \arcsin \left(c x \right)\right) b^{3}}}{c^{3}}"," ",0,"1/c^3*(-1/8*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2/b-1/8*(arcsin(c*x)*Si(arcsin(c*x)+a/b)*sin(a/b)*b+arcsin(c*x)*Ci(arcsin(c*x)+a/b)*cos(a/b)*b+Si(arcsin(c*x)+a/b)*sin(a/b)*a+Ci(arcsin(c*x)+a/b)*cos(a/b)*a-x*b*c)/(a+b*arcsin(c*x))/b^3+1/8*cos(3*arcsin(c*x))/(a+b*arcsin(c*x))^2/b+3/8*(3*arcsin(c*x)*Si(3*arcsin(c*x)+3*a/b)*sin(3*a/b)*b+3*arcsin(c*x)*Ci(3*arcsin(c*x)+3*a/b)*cos(3*a/b)*b+3*Si(3*arcsin(c*x)+3*a/b)*sin(3*a/b)*a+3*Ci(3*arcsin(c*x)+3*a/b)*cos(3*a/b)*a-sin(3*arcsin(c*x))*b)/(a+b*arcsin(c*x))/b^3)","A"
169,1,157,124,0.033000," ","int(x/(a+b*arcsin(c*x))^3,x)","\frac{-\frac{\sin \left(2 \arcsin \left(c x \right)\right)}{4 \left(a +b \arcsin \left(c x \right)\right)^{2} b}-\frac{2 \Si \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right) \arcsin \left(c x \right) b -2 \Ci \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right) \arcsin \left(c x \right) b +2 \Si \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \cos \left(\frac{2 a}{b}\right) a -2 \Ci \left(2 \arcsin \left(c x \right)+\frac{2 a}{b}\right) \sin \left(\frac{2 a}{b}\right) a +\cos \left(2 \arcsin \left(c x \right)\right) b}{2 \left(a +b \arcsin \left(c x \right)\right) b^{3}}}{c^{2}}"," ",0,"1/c^2*(-1/4*sin(2*arcsin(c*x))/(a+b*arcsin(c*x))^2/b-1/2*(2*Si(2*arcsin(c*x)+2*a/b)*cos(2*a/b)*arcsin(c*x)*b-2*Ci(2*arcsin(c*x)+2*a/b)*sin(2*a/b)*arcsin(c*x)*b+2*Si(2*arcsin(c*x)+2*a/b)*cos(2*a/b)*a-2*Ci(2*arcsin(c*x)+2*a/b)*sin(2*a/b)*a+cos(2*arcsin(c*x))*b)/(a+b*arcsin(c*x))/b^3)","A"
170,1,138,101,0.043000," ","int(1/(a+b*arcsin(c*x))^3,x)","\frac{-\frac{\sqrt{-c^{2} x^{2}+1}}{2 \left(a +b \arcsin \left(c x \right)\right)^{2} b}-\frac{\arcsin \left(c x \right) \Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) b +\arcsin \left(c x \right) \Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) b +\Si \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \sin \left(\frac{a}{b}\right) a +\Ci \left(\arcsin \left(c x \right)+\frac{a}{b}\right) \cos \left(\frac{a}{b}\right) a -x b c}{2 \left(a +b \arcsin \left(c x \right)\right) b^{3}}}{c}"," ",0,"1/c*(-1/2*(-c^2*x^2+1)^(1/2)/(a+b*arcsin(c*x))^2/b-1/2*(arcsin(c*x)*Si(arcsin(c*x)+a/b)*sin(a/b)*b+arcsin(c*x)*Ci(arcsin(c*x)+a/b)*cos(a/b)*b+Si(arcsin(c*x)+a/b)*sin(a/b)*a+Ci(arcsin(c*x)+a/b)*cos(a/b)*a-x*b*c)/(a+b*arcsin(c*x))/b^3)","A"
171,0,0,16,0.352000," ","int(1/x/(a+b*arcsin(c*x))^3,x)","\int \frac{1}{x \left(a +b \arcsin \left(c x \right)\right)^{3}}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x))^3,x)","F"
172,0,0,16,0.613000," ","int(1/x^2/(a+b*arcsin(c*x))^3,x)","\int \frac{1}{x^{2} \left(a +b \arcsin \left(c x \right)\right)^{3}}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x))^3,x)","F"
173,1,356,182,0.147000," ","int(x^2*(a+b*arcsin(c*x))^(1/2),x)","\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \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 \arcsin \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \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 \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \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 \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +18 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b +18 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a -6 \arcsin \left(c x \right) \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b -6 \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a}{72 c^{3} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"1/72/c^3/(a+b*arcsin(c*x))^(1/2)*(3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-3^(1/2)*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-9*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+9*2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+18*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b+18*sin((a+b*arcsin(c*x))/b-a/b)*a-6*arcsin(c*x)*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*b-6*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a)","A"
174,1,173,105,0.080000," ","int(x*(a+b*arcsin(c*x))^(1/2),x)","-\frac{-\cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, b -\sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, b +2 \arcsin \left(c x \right) \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b +2 \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a}{8 c^{2} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/8/c^2/(a+b*arcsin(c*x))^(1/2)*(-cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*b-sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*b+2*arcsin(c*x)*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*b+2*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a)","A"
175,1,178,95,0.069000," ","int((a+b*arcsin(c*x))^(1/2),x)","\frac{-\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +2 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b +2 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a}{2 c \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"1/2/c/(a+b*arcsin(c*x))^(1/2)*(-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+2*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b+2*sin((a+b*arcsin(c*x))/b-a/b)*a)","A"
176,0,0,16,0.140000," ","int((a+b*arcsin(c*x))^(1/2)/x,x)","\int \frac{\sqrt{a +b \arcsin \left(c x \right)}}{x}\, dx"," ",0,"int((a+b*arcsin(c*x))^(1/2)/x,x)","F"
177,0,0,16,0.269000," ","int((a+b*arcsin(c*x))^(1/2)/x^2,x)","\int \frac{\sqrt{a +b \arcsin \left(c x \right)}}{x^{2}}\, dx"," ",0,"int((a+b*arcsin(c*x))^(1/2)/x^2,x)","F"
178,1,542,241,0.170000," ","int(x^2*(a+b*arcsin(c*x))^(3/2),x)","-\frac{-\sqrt{\pi}\, \sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{2}-\sqrt{\pi}\, \sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{2}+27 \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \cos \left(\frac{a}{b}\right) \sqrt{\frac{1}{b}}\, b^{2}+27 \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{2}+12 \arcsin \left(c x \right)^{2} \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{2}-36 \arcsin \left(c x \right)^{2} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}-54 \arcsin \left(c x \right) \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+24 \arcsin \left(c x \right) \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a b +6 \arcsin \left(c x \right) \cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{2}-72 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a b -54 \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a b +12 \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2}+6 \cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a b -36 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2}}{144 c^{3} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/144/c^3*(-Pi^(1/2)*2^(1/2)*3^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^2-Pi^(1/2)*2^(1/2)*3^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^2+27*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*cos(a/b)*(1/b)^(1/2)*b^2+27*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^2+12*arcsin(c*x)^2*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*b^2-36*arcsin(c*x)^2*sin((a+b*arcsin(c*x))/b-a/b)*b^2-54*arcsin(c*x)*cos((a+b*arcsin(c*x))/b-a/b)*b^2+24*arcsin(c*x)*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a*b+6*arcsin(c*x)*cos(3*(a+b*arcsin(c*x))/b-3*a/b)*b^2-72*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*a*b-54*cos((a+b*arcsin(c*x))/b-a/b)*a*b+12*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a^2+6*cos(3*(a+b*arcsin(c*x))/b-3*a/b)*a*b-36*sin((a+b*arcsin(c*x))/b-a/b)*a^2)/(a+b*arcsin(c*x))^(1/2)","B"
179,1,267,134,0.095000," ","int(x*(a+b*arcsin(c*x))^(3/2),x)","-\frac{-3 \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, b^{2}+3 \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\pi}\, b^{2}+8 \arcsin \left(c x \right)^{2} \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{2}-6 \arcsin \left(c x \right) \sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{2}+16 \arcsin \left(c x \right) \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a b -6 \sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a b +8 \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2}}{32 c^{2} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/32/c^2*(-3*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*Pi^(1/2)*b^2+3*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*Pi^(1/2)*b^2+8*arcsin(c*x)^2*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*b^2-6*arcsin(c*x)*sin(2*(a+b*arcsin(c*x))/b-2*a/b)*b^2+16*arcsin(c*x)*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a*b-6*sin(2*(a+b*arcsin(c*x))/b-2*a/b)*a*b+8*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a^2)/(a+b*arcsin(c*x))^(1/2)","A"
180,1,270,123,0.089000," ","int((a+b*arcsin(c*x))^(3/2),x)","\frac{-3 \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \cos \left(\frac{a}{b}\right) \sqrt{\frac{1}{b}}\, b^{2}-3 \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{2}+4 \arcsin \left(c x \right)^{2} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+8 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a b +6 \arcsin \left(c x \right) \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{2}+4 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2}+6 \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a b}{4 c \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"1/4/c/(a+b*arcsin(c*x))^(1/2)*(-3*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*cos(a/b)*(1/b)^(1/2)*b^2-3*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^2+4*arcsin(c*x)^2*sin((a+b*arcsin(c*x))/b-a/b)*b^2+8*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*a*b+6*arcsin(c*x)*cos((a+b*arcsin(c*x))/b-a/b)*b^2+4*sin((a+b*arcsin(c*x))/b-a/b)*a^2+6*cos((a+b*arcsin(c*x))/b-a/b)*a*b)","B"
181,0,0,16,0.159000," ","int((a+b*arcsin(c*x))^(3/2)/x,x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int((a+b*arcsin(c*x))^(3/2)/x,x)","F"
182,0,0,16,0.282000," ","int((a+b*arcsin(c*x))^(3/2)/x^2,x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int((a+b*arcsin(c*x))^(3/2)/x^2,x)","F"
183,1,792,278,0.191000," ","int(x^2*(a+b*arcsin(c*x))^(5/2),x)","\frac{-5 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}+5 \sqrt{3}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}+405 \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}-405 \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}+216 \arcsin \left(c x \right)^{3} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}-72 \arcsin \left(c x \right)^{3} \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}+648 \arcsin \left(c x \right)^{2} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+540 \arcsin \left(c x \right)^{2} \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}-216 \arcsin \left(c x \right)^{2} \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}-60 \arcsin \left(c x \right)^{2} \cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}+648 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b -810 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+1080 \arcsin \left(c x \right) \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}-216 \arcsin \left(c x \right) \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2} b +30 \arcsin \left(c x \right) \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b^{3}-120 \arcsin \left(c x \right) \cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}+216 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{3}-810 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+540 \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b -72 \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{3}+30 \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a \,b^{2}-60 \cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a^{2} b}{864 c^{3} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"1/864/c^3/(a+b*arcsin(c*x))^(1/2)*(-5*3^(1/2)*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3+5*3^(1/2)*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3+405*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3-405*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3+216*arcsin(c*x)^3*sin((a+b*arcsin(c*x))/b-a/b)*b^3-72*arcsin(c*x)^3*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*b^3+648*arcsin(c*x)^2*sin((a+b*arcsin(c*x))/b-a/b)*a*b^2+540*arcsin(c*x)^2*cos((a+b*arcsin(c*x))/b-a/b)*b^3-216*arcsin(c*x)^2*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a*b^2-60*arcsin(c*x)^2*cos(3*(a+b*arcsin(c*x))/b-3*a/b)*b^3+648*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*a^2*b-810*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b^3+1080*arcsin(c*x)*cos((a+b*arcsin(c*x))/b-a/b)*a*b^2-216*arcsin(c*x)*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a^2*b+30*arcsin(c*x)*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*b^3-120*arcsin(c*x)*cos(3*(a+b*arcsin(c*x))/b-3*a/b)*a*b^2+216*sin((a+b*arcsin(c*x))/b-a/b)*a^3-810*sin((a+b*arcsin(c*x))/b-a/b)*a*b^2+540*cos((a+b*arcsin(c*x))/b-a/b)*a^2*b-72*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a^3+30*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a*b^2-60*cos(3*(a+b*arcsin(c*x))/b-3*a/b)*a^2*b)","B"
184,1,394,170,0.111000," ","int(x*(a+b*arcsin(c*x))^(5/2),x)","-\frac{15 \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b^{3}+15 \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b^{3}+32 \arcsin \left(c x \right)^{3} \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}+96 \arcsin \left(c x \right)^{2} \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}-40 \arcsin \left(c x \right)^{2} \sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}+96 \arcsin \left(c x \right) \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2} b -30 \arcsin \left(c x \right) \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b^{3}-80 \arcsin \left(c x \right) \sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}+32 \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{3}-30 \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a \,b^{2}-40 \sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a^{2} b}{128 c^{2} \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/128/c^2*(15*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b^3+15*Pi^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b^3+32*arcsin(c*x)^3*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*b^3+96*arcsin(c*x)^2*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a*b^2-40*arcsin(c*x)^2*sin(2*(a+b*arcsin(c*x))/b-2*a/b)*b^3+96*arcsin(c*x)*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a^2*b-30*arcsin(c*x)*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*b^3-80*arcsin(c*x)*sin(2*(a+b*arcsin(c*x))/b-2*a/b)*a*b^2+32*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a^3-30*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a*b^2-40*sin(2*(a+b*arcsin(c*x))/b-2*a/b)*a^2*b)/(a+b*arcsin(c*x))^(1/2)","B"
185,1,393,139,0.105000," ","int((a+b*arcsin(c*x))^(5/2),x)","\frac{15 \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}-15 \sqrt{2}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) \sqrt{\frac{1}{b}}\, b^{3}+8 \arcsin \left(c x \right)^{3} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+24 \arcsin \left(c x \right)^{2} \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+20 \arcsin \left(c x \right)^{2} \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+24 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b -30 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b^{3}+40 \arcsin \left(c x \right) \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+8 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{3}-30 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a \,b^{2}+20 \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a^{2} b}{8 c \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"1/8/c/(a+b*arcsin(c*x))^(1/2)*(15*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3-15*2^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*(1/b)^(1/2)*b^3+8*arcsin(c*x)^3*sin((a+b*arcsin(c*x))/b-a/b)*b^3+24*arcsin(c*x)^2*sin((a+b*arcsin(c*x))/b-a/b)*a*b^2+20*arcsin(c*x)^2*cos((a+b*arcsin(c*x))/b-a/b)*b^3+24*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*a^2*b-30*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b^3+40*arcsin(c*x)*cos((a+b*arcsin(c*x))/b-a/b)*a*b^2+8*sin((a+b*arcsin(c*x))/b-a/b)*a^3-30*sin((a+b*arcsin(c*x))/b-a/b)*a*b^2+20*cos((a+b*arcsin(c*x))/b-a/b)*a^2*b)","B"
186,0,0,16,0.146000," ","int((a+b*arcsin(c*x))^(5/2)/x,x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int((a+b*arcsin(c*x))^(5/2)/x,x)","F"
187,0,0,16,0.280000," ","int((a+b*arcsin(c*x))^(5/2)/x^2,x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"int((a+b*arcsin(c*x))^(5/2)/x^2,x)","F"
188,1,168,167,0.112000," ","int(x^2/(a+b*arcsin(c*x))^(1/2),x)","\frac{\sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \left(-\sqrt{3}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sqrt{3}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+3 \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+3 \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{12 c^{3}}"," ",0,"1/12/c^3*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(-3^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)-3^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+3*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+3*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b))","A"
189,1,80,75,0.056000," ","int(x/(a+b*arcsin(c*x))^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \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)*(sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)-cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b))/c^2","A"
190,1,83,81,0.042000," ","int(1/(a+b*arcsin(c*x))^(1/2),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \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)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b))/c","A"
191,0,0,16,0.132000," ","int(1/x/(a+b*arcsin(c*x))^(1/2),x)","\int \frac{1}{x \sqrt{a +b \arcsin \left(c x \right)}}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x))^(1/2),x)","F"
192,0,0,16,0.244000," ","int(1/x^2/(a+b*arcsin(c*x))^(1/2),x)","\int \frac{1}{x^{2} \sqrt{a +b \arcsin \left(c x \right)}}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x))^(1/2),x)","F"
193,1,295,200,0.118000," ","int(x^2/(a+b*arcsin(c*x))^(3/2),x)","-\frac{-\sqrt{3}\, \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\sqrt{3}\, \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right)-\cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right)}{2 c^{3} b \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/2/c^3/b/(a+b*arcsin(c*x))^(1/2)*(-3^(1/2)*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+3^(1/2)*(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)-(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+cos((a+b*arcsin(c*x))/b-a/b)-cos(3*(a+b*arcsin(c*x))/b-3*a/b))","A"
194,1,143,106,0.073000," ","int(x/(a+b*arcsin(c*x))^(3/2),x)","-\frac{-2 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-2 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right)}{c^{2} b \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-1/c^2/b/(a+b*arcsin(c*x))^(1/2)*(-2*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)-2*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+sin(2*(a+b*arcsin(c*x))/b-2*a/b))","A"
195,1,149,113,0.072000," ","int(1/(a+b*arcsin(c*x))^(3/2),x)","-\frac{2 \left(\sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)+\cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right)\right)}{c b \sqrt{a +b \arcsin \left(c x \right)}}"," ",0,"-2/c/b*((1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)-(1/b)^(1/2)*Pi^(1/2)*2^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)+cos((a+b*arcsin(c*x))/b-a/b))/(a+b*arcsin(c*x))^(1/2)","A"
196,0,0,16,0.118000," ","int(1/x/(a+b*arcsin(c*x))^(3/2),x)","\int \frac{1}{x \left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x))^(3/2),x)","F"
197,0,0,16,0.270000," ","int(1/x^2/(a+b*arcsin(c*x))^(3/2),x)","\int \frac{1}{x^{2} \left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x))^(3/2),x)","F"
198,1,660,235,0.153000," ","int(x^2/(a+b*arcsin(c*x))^(5/2),x)","\frac{6 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sqrt{3}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +6 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sqrt{3}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -2 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -2 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +6 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sqrt{3}\, \cos \left(\frac{3 a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a +6 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sqrt{3}\, \sin \left(\frac{3 a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a -2 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a -2 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a +2 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b -6 \arcsin \left(c x \right) \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b -\cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b +2 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a +\cos \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) b -6 \sin \left(\frac{3 a +3 b \arcsin \left(c x \right)}{b}-\frac{3 a}{b}\right) a}{6 c^{3} b^{2} \left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"1/6/c^3/b^2*(6*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*3^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+6*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*3^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-2*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-2*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+6*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*3^(1/2)*cos(3*a/b)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a+6*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*3^(1/2)*sin(3*a/b)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a-2*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a-2*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a+2*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b-6*arcsin(c*x)*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*b-cos((a+b*arcsin(c*x))/b-a/b)*b+2*sin((a+b*arcsin(c*x))/b-a/b)*a+cos(3*(a+b*arcsin(c*x))/b-3*a/b)*b-6*sin(3*(a+b*arcsin(c*x))/b-3*a/b)*a)/(a+b*arcsin(c*x))^(3/2)","B"
199,1,311,142,0.090000," ","int(x/(a+b*arcsin(c*x))^(5/2),x)","-\frac{8 \arcsin \left(c x \right) \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b -8 \arcsin \left(c x \right) \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b +8 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{2 a}{b}\right) \mathrm{S}\left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a -8 \sqrt{\frac{1}{b}}\, \sqrt{\pi}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{2 a}{b}\right) \FresnelC \left(\frac{2 \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a +4 \arcsin \left(c x \right) \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b +\sin \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) b +4 \cos \left(\frac{2 a +2 b \arcsin \left(c x \right)}{b}-\frac{2 a}{b}\right) a}{3 c^{2} b^{2} \left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"-1/3/c^2/b^2*(8*arcsin(c*x)*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-8*arcsin(c*x)*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b+8*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(2*a/b)*FresnelS(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a-8*(1/b)^(1/2)*Pi^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(2*a/b)*FresnelC(2/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a+4*arcsin(c*x)*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*b+sin(2*(a+b*arcsin(c*x))/b-2*a/b)*b+4*cos(2*(a+b*arcsin(c*x))/b-2*a/b)*a)/(a+b*arcsin(c*x))^(3/2)","B"
200,1,325,129,0.090000," ","int(1/(a+b*arcsin(c*x))^(5/2),x)","\frac{-\frac{4 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b}{3}-\frac{4 \arcsin \left(c x \right) \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) b}{3}-\frac{4 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \cos \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a}{3}-\frac{4 \sqrt{\pi}\, \sqrt{2}\, \sqrt{\frac{1}{b}}\, \sqrt{a +b \arcsin \left(c x \right)}\, \sin \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arcsin \left(c x \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right) a}{3}+\frac{4 \arcsin \left(c x \right) \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b}{3}-\frac{2 \cos \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) b}{3}+\frac{4 \sin \left(\frac{a +b \arcsin \left(c x \right)}{b}-\frac{a}{b}\right) a}{3}}{c \,b^{2} \left(a +b \arcsin \left(c x \right)\right)^{\frac{3}{2}}}"," ",0,"2/3/c/b^2*(-2*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-2*arcsin(c*x)*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*b-2*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*cos(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a-2*Pi^(1/2)*2^(1/2)*(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)*sin(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arcsin(c*x))^(1/2)/b)*a+2*arcsin(c*x)*sin((a+b*arcsin(c*x))/b-a/b)*b-cos((a+b*arcsin(c*x))/b-a/b)*b+2*sin((a+b*arcsin(c*x))/b-a/b)*a)/(a+b*arcsin(c*x))^(3/2)","B"
201,0,0,16,0.118000," ","int(1/x/(a+b*arcsin(c*x))^(5/2),x)","\int \frac{1}{x \left(a +b \arcsin \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/(a+b*arcsin(c*x))^(5/2),x)","F"
202,0,0,16,0.271000," ","int(1/x^2/(a+b*arcsin(c*x))^(5/2),x)","\int \frac{1}{x^{2} \left(a +b \arcsin \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x^2/(a+b*arcsin(c*x))^(5/2),x)","F"
203,1,144,92,0.045000," ","int((d*x)^(5/2)*(a+b*arcsin(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}} \arcsin \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)*arcsin(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"
204,1,138,90,0.011000," ","int((d*x)^(3/2)*(a+b*arcsin(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}} \arcsin \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)*arcsin(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"
205,1,119,66,0.011000," ","int((d*x)^(1/2)*(a+b*arcsin(c*x)),x)","\frac{\frac{2 \left(d x \right)^{\frac{3}{2}} a}{3}+2 b \left(\frac{\left(d x \right)^{\frac{3}{2}} \arcsin \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)*arcsin(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*arcsin(c*x))/(d*x)^(1/2),x)","\frac{2 a \sqrt{d x}+2 b \left(\sqrt{d x}\, \arcsin \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)*arcsin(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"
207,1,85,43,0.011000," ","int((a+b*arcsin(c*x))/(d*x)^(3/2),x)","\frac{-\frac{2 a}{\sqrt{d x}}+2 b \left(-\frac{\arcsin \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*(-a/(d*x)^(1/2)+b*(-1/(d*x)^(1/2)*arcsin(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"
208,1,129,91,0.014000," ","int((a+b*arcsin(c*x))/(d*x)^(5/2),x)","\frac{-\frac{2 a}{3 \left(d x \right)^{\frac{3}{2}}}+2 b \left(-\frac{\arcsin \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)*arcsin(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"
209,0,0,85,0.180000," ","int((d*x)^(5/2)*(a+b*arcsin(c*x))^2,x)","\int \left(d x \right)^{\frac{5}{2}} \left(a +b \arcsin \left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^(5/2)*(a+b*arcsin(c*x))^2,x)","F"
210,0,0,85,0.171000," ","int((d*x)^(3/2)*(a+b*arcsin(c*x))^2,x)","\int \left(d x \right)^{\frac{3}{2}} \left(a +b \arcsin \left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^(3/2)*(a+b*arcsin(c*x))^2,x)","F"
211,0,0,85,0.174000," ","int((d*x)^(1/2)*(a+b*arcsin(c*x))^2,x)","\int \sqrt{d x}\, \left(a +b \arcsin \left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^(1/2)*(a+b*arcsin(c*x))^2,x)","F"
212,-2,0,85,180.000000," ","int((a+b*arcsin(c*x))^2/(d*x)^(1/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{2}}{\sqrt{d x}}\, dx"," ",0,"int((a+b*arcsin(c*x))^2/(d*x)^(1/2),x)","F"
213,0,0,85,0.184000," ","int((a+b*arcsin(c*x))^2/(d*x)^(3/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{2}}{\left(d x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*arcsin(c*x))^2/(d*x)^(3/2),x)","F"
214,0,0,85,0.175000," ","int((a+b*arcsin(c*x))^2/(d*x)^(5/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{2}}{\left(d x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*arcsin(c*x))^2/(d*x)^(5/2),x)","F"
215,0,0,58,0.180000," ","int((d*x)^(3/2)*(a+b*arcsin(c*x))^3,x)","\int \left(d x \right)^{\frac{3}{2}} \left(a +b \arcsin \left(c x \right)\right)^{3}\, dx"," ",0,"int((d*x)^(3/2)*(a+b*arcsin(c*x))^3,x)","F"
216,0,0,58,0.172000," ","int((d*x)^(1/2)*(a+b*arcsin(c*x))^3,x)","\int \sqrt{d x}\, \left(a +b \arcsin \left(c x \right)\right)^{3}\, dx"," ",0,"int((d*x)^(1/2)*(a+b*arcsin(c*x))^3,x)","F"
217,-2,0,58,180.000000," ","int((a+b*arcsin(c*x))^3/(d*x)^(1/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{3}}{\sqrt{d x}}\, dx"," ",0,"int((a+b*arcsin(c*x))^3/(d*x)^(1/2),x)","F"
218,0,0,58,0.178000," ","int((a+b*arcsin(c*x))^3/(d*x)^(3/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{3}}{\left(d x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*arcsin(c*x))^3/(d*x)^(3/2),x)","F"
219,0,0,58,0.178000," ","int((a+b*arcsin(c*x))^3/(d*x)^(5/2),x)","\int \frac{\left(a +b \arcsin \left(c x \right)\right)^{3}}{\left(d x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*arcsin(c*x))^3/(d*x)^(5/2),x)","F"
220,0,0,18,0.116000," ","int((d*x)^(3/2)/(a+b*arcsin(c*x)),x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{a +b \arcsin \left(c x \right)}\, dx"," ",0,"int((d*x)^(3/2)/(a+b*arcsin(c*x)),x)","F"
221,0,0,18,0.122000," ","int((d*x)^(1/2)/(a+b*arcsin(c*x)),x)","\int \frac{\sqrt{d x}}{a +b \arcsin \left(c x \right)}\, dx"," ",0,"int((d*x)^(1/2)/(a+b*arcsin(c*x)),x)","F"
222,0,0,18,0.126000," ","int(1/(d*x)^(1/2)/(a+b*arcsin(c*x)),x)","\int \frac{1}{\sqrt{d x}\, \left(a +b \arcsin \left(c x \right)\right)}\, dx"," ",0,"int(1/(d*x)^(1/2)/(a+b*arcsin(c*x)),x)","F"
223,0,0,18,0.122000," ","int(1/(d*x)^(3/2)/(a+b*arcsin(c*x)),x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(a +b \arcsin \left(c x \right)\right)}\, dx"," ",0,"int(1/(d*x)^(3/2)/(a+b*arcsin(c*x)),x)","F"
224,0,0,18,0.122000," ","int((d*x)^(3/2)/(a+b*arcsin(c*x))^2,x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{\left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int((d*x)^(3/2)/(a+b*arcsin(c*x))^2,x)","F"
225,0,0,18,0.122000," ","int((d*x)^(1/2)/(a+b*arcsin(c*x))^2,x)","\int \frac{\sqrt{d x}}{\left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int((d*x)^(1/2)/(a+b*arcsin(c*x))^2,x)","F"
226,0,0,18,0.132000," ","int(1/(d*x)^(1/2)/(a+b*arcsin(c*x))^2,x)","\int \frac{1}{\sqrt{d x}\, \left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x)^(1/2)/(a+b*arcsin(c*x))^2,x)","F"
227,0,0,18,0.125000," ","int(1/(d*x)^(3/2)/(a+b*arcsin(c*x))^2,x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(a +b \arcsin \left(c x \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x)^(3/2)/(a+b*arcsin(c*x))^2,x)","F"