1,1,204,201,0.025000," ","int(x^2*sin(c*x^2+b*x+a),x)","-\frac{x \cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{b \left(-\frac{\cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{2 c}+\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}"," ",0,"-1/2*x*cos(c*x^2+b*x+a)/c-1/2*b/c*(-1/2*cos(c*x^2+b*x+a)/c-1/4*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))))+1/4/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))+sin((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
2,1,100,99,0.023000," ","int(x*sin(c*x^2+b*x+a),x)","-\frac{\cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}"," ",0,"-1/2*cos(c*x^2+b*x+a)/c-1/4*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
3,1,82,81,0.025000," ","int(sin(c*x^2+b*x+a),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 \sqrt{c}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/c^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
4,0,0,17,0.122000," ","int(sin(c*x^2+b*x+a)/x,x)","\int \frac{\sin \left(c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(sin(c*x^2+b*x+a)/x,x)","F"
5,0,0,96,0.541000," ","int(-b*cos(c*x^2+b*x+a)/x+sin(c*x^2+b*x+a)/x^2,x)","\int -\frac{b \cos \left(c \,x^{2}+b x +a \right)}{x}+\frac{\sin \left(c \,x^{2}+b x +a \right)}{x^{2}}\, dx"," ",0,"int(-b*cos(c*x^2+b*x+a)/x+sin(c*x^2+b*x+a)/x^2,x)","F"
6,1,202,203,0.026000," ","int(x^2*sin(-c*x^2+b*x+a),x)","\frac{x \cos \left(-c \,x^{2}+b x +a \right)}{2 c}-\frac{b \left(-\frac{\cos \left(-c \,x^{2}+b x +a \right)}{2 c}+\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{2 c}-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}"," ",0,"1/2*x*cos(-c*x^2+b*x+a)/c-1/2*b/c*(-1/2*cos(-c*x^2+b*x+a)/c+1/4*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2+c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b))-sin((1/4*b^2+c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b))))-1/4/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2+c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b))+sin((1/4*b^2+c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b)))","A"
7,1,99,100,0.028000," ","int(x*sin(-c*x^2+b*x+a),x)","\frac{\cos \left(-c \,x^{2}+b x +a \right)}{2 c}-\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}"," ",0,"1/2*cos(-c*x^2+b*x+a)/c-1/4*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2+c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b))-sin((1/4*b^2+c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b)))","A"
8,1,80,81,0.026000," ","int(sin(-c*x^2+b*x+a),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}+c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x -\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 \sqrt{c}}"," ",0,"-1/2*2^(1/2)*Pi^(1/2)/c^(1/2)*(cos((1/4*b^2+c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b))-sin((1/4*b^2+c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x-1/2*b)))","A"
9,0,0,18,0.115000," ","int(sin(-c*x^2+b*x+a)/x,x)","\int \frac{\sin \left(-c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(sin(-c*x^2+b*x+a)/x,x)","F"
10,0,0,96,0.620000," ","int(-b*cos(-c*x^2+b*x+a)/x+sin(-c*x^2+b*x+a)/x^2,x)","\int -\frac{b \cos \left(-c \,x^{2}+b x +a \right)}{x}+\frac{\sin \left(-c \,x^{2}+b x +a \right)}{x^{2}}\, dx"," ",0,"int(-b*cos(-c*x^2+b*x+a)/x+sin(-c*x^2+b*x+a)/x^2,x)","F"
11,1,59,64,0.023000," ","int(x^2*sin(1/4+x+x^2),x)","-\frac{x \cos \left(\frac{1}{4}+x +x^{2}\right)}{2}+\frac{\cos \left(\frac{1}{4}+x +x^{2}\right)}{4}+\frac{\sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(x +\frac{1}{2}\right)}{\sqrt{\pi}}\right)}{8}+\frac{\sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(x +\frac{1}{2}\right)}{\sqrt{\pi}}\right)}{4}"," ",0,"-1/2*x*cos(1/4+x+x^2)+1/4*cos(1/4+x+x^2)+1/8*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*(x+1/2))+1/4*2^(1/2)*Pi^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*(x+1/2))","A"
12,1,30,32,0.025000," ","int(x*sin(1/4+x+x^2),x)","-\frac{\cos \left(\frac{1}{4}+x +x^{2}\right)}{2}-\frac{\sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(x +\frac{1}{2}\right)}{\sqrt{\pi}}\right)}{4}"," ",0,"-1/2*cos(1/4+x+x^2)-1/4*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*(x+1/2))","A"
13,1,20,22,0.022000," ","int(sin(1/4+x+x^2),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(x +\frac{1}{2}\right)}{\sqrt{\pi}}\right)}{2}"," ",0,"1/2*2^(1/2)*Pi^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)*(x+1/2))","A"
14,0,0,13,0.139000," ","int(sin(1/4+x+x^2)/x,x)","\int \frac{\sin \left(\frac{1}{4}+x +x^{2}\right)}{x}\, dx"," ",0,"int(sin(1/4+x+x^2)/x,x)","F"
15,0,0,47,0.145000," ","int(sin(1/4+x+x^2)/x^2,x)","\int \frac{\sin \left(\frac{1}{4}+x +x^{2}\right)}{x^{2}}\, dx"," ",0,"int(sin(1/4+x+x^2)/x^2,x)","F"
16,1,191,194,0.076000," ","int(x^2*sin(c*x^2+b*x+a)^2,x)","\frac{x^{3}}{6}-\frac{x \sin \left(2 c \,x^{2}+2 b x +2 a \right)}{8 c}+\frac{b \left(\frac{\sin \left(2 c \,x^{2}+2 b x +2 a \right)}{4 c}-\frac{b \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{4 c}+\frac{\sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)-\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{16 c^{\frac{3}{2}}}"," ",0,"1/6*x^3-1/8*x*sin(2*c*x^2+2*b*x+2*a)/c+1/4*b/c*(1/4*sin(2*c*x^2+2*b*x+2*a)/c-1/4*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2))))+1/16/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2))-sin(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2)))","A"
17,1,95,98,0.060000," ","int(x*sin(c*x^2+b*x+a)^2,x)","\frac{x^{2}}{4}-\frac{\sin \left(2 c \,x^{2}+2 b x +2 a \right)}{8 c}+\frac{b \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{8 c^{\frac{3}{2}}}"," ",0,"1/4*x^2-1/8*sin(2*c*x^2+2*b*x+2*a)/c+1/8*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))","A"
18,1,72,74,0.060000," ","int(sin(c*x^2+b*x+a)^2,x)","\frac{x}{2}-\frac{\sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 \sqrt{c}}"," ",0,"1/2*x-1/4*Pi^(1/2)/c^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))","A"
19,0,0,28,0.285000," ","int(sin(c*x^2+b*x+a)^2/x,x)","\int \frac{\sin^{2}\left(c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(sin(c*x^2+b*x+a)^2/x,x)","F"
20,1,199,194,0.073000," ","int(x^2*sin(-c*x^2+b*x+a)^2,x)","\frac{x^{3}}{6}+\frac{x \sin \left(-2 c \,x^{2}+2 b x +2 a \right)}{8 c}-\frac{b \left(-\frac{\sin \left(-2 c \,x^{2}+2 b x +2 a \right)}{4 c}+\frac{b \sqrt{\pi}\, \left(\cos \left(\frac{4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{4 c}+\frac{\sqrt{\pi}\, \left(\cos \left(\frac{4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{16 c^{\frac{3}{2}}}"," ",0,"1/6*x^3+1/8*x*sin(-2*c*x^2+2*b*x+2*a)/c-1/4*b/c*(-1/4*sin(-2*c*x^2+2*b*x+2*a)/c+1/4*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(4*a*c+b^2)/c)*FresnelC(1/Pi^(1/2)/c^(1/2)*(2*c*x-b))+sin(1/2*(4*a*c+b^2)/c)*FresnelS(1/Pi^(1/2)/c^(1/2)*(2*c*x-b))))+1/16/c^(3/2)*Pi^(1/2)*(cos(1/2*(4*a*c+b^2)/c)*FresnelS(1/Pi^(1/2)/c^(1/2)*(2*c*x-b))-sin(1/2*(4*a*c+b^2)/c)*FresnelC(1/Pi^(1/2)/c^(1/2)*(2*c*x-b)))","A"
21,1,99,98,0.059000," ","int(x*sin(-c*x^2+b*x+a)^2,x)","\frac{x^{2}}{4}+\frac{\sin \left(-2 c \,x^{2}+2 b x +2 a \right)}{8 c}-\frac{b \sqrt{\pi}\, \left(\cos \left(\frac{4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{8 c^{\frac{3}{2}}}"," ",0,"1/4*x^2+1/8*sin(-2*c*x^2+2*b*x+2*a)/c-1/8*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(4*a*c+b^2)/c)*FresnelC(1/Pi^(1/2)/c^(1/2)*(2*c*x-b))+sin(1/2*(4*a*c+b^2)/c)*FresnelS(1/Pi^(1/2)/c^(1/2)*(2*c*x-b)))","A"
22,1,76,74,0.060000," ","int(sin(-c*x^2+b*x+a)^2,x)","\frac{x}{2}-\frac{\sqrt{\pi}\, \left(\cos \left(\frac{4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x -b}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 \sqrt{c}}"," ",0,"1/2*x-1/4*Pi^(1/2)/c^(1/2)*(cos(1/2*(4*a*c+b^2)/c)*FresnelC(1/Pi^(1/2)/c^(1/2)*(2*c*x-b))+sin(1/2*(4*a*c+b^2)/c)*FresnelS(1/Pi^(1/2)/c^(1/2)*(2*c*x-b)))","A"
23,0,0,28,0.286000," ","int(sin(-c*x^2+b*x+a)^2/x,x)","\int \frac{\sin^{2}\left(-c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(sin(-c*x^2+b*x+a)^2/x,x)","F"
24,1,64,63,0.072000," ","int(x^2*sin(1/4+x+x^2)^2,x)","\frac{x^{3}}{6}+\frac{\sin \left(\frac{1}{2}+2 x +2 x^{2}\right)}{16}-\frac{x \sin \left(\frac{1}{2}+2 x +2 x^{2}\right)}{8}-\frac{\FresnelC \left(\frac{1+2 x}{\sqrt{\pi}}\right) \sqrt{\pi}}{16}+\frac{\mathrm{S}\left(\frac{1+2 x}{\sqrt{\pi}}\right) \sqrt{\pi}}{16}"," ",0,"1/6*x^3+1/16*sin(1/2+2*x+2*x^2)-1/8*x*sin(1/2+2*x+2*x^2)-1/16*FresnelC((1+2*x)/Pi^(1/2))*Pi^(1/2)+1/16*FresnelS((1+2*x)/Pi^(1/2))*Pi^(1/2)","A"
25,1,35,34,0.058000," ","int(x*sin(1/4+x+x^2)^2,x)","\frac{x^{2}}{4}-\frac{\sin \left(\frac{1}{2}+2 x +2 x^{2}\right)}{8}+\frac{\FresnelC \left(\frac{1+2 x}{\sqrt{\pi}}\right) \sqrt{\pi}}{8}"," ",0,"1/4*x^2-1/8*sin(1/2+2*x+2*x^2)+1/8*FresnelC((1+2*x)/Pi^(1/2))*Pi^(1/2)","A"
26,1,20,19,0.056000," ","int(sin(1/4+x+x^2)^2,x)","\frac{x}{2}-\frac{\FresnelC \left(\frac{1+2 x}{\sqrt{\pi}}\right) \sqrt{\pi}}{4}"," ",0,"1/2*x-1/4*FresnelC((1+2*x)/Pi^(1/2))*Pi^(1/2)","A"
27,0,0,24,0.270000," ","int(sin(1/4+x+x^2)^2/x,x)","\int \frac{\sin^{2}\left(\frac{1}{4}+x +x^{2}\right)}{x}\, dx"," ",0,"int(sin(1/4+x+x^2)^2/x,x)","F"
28,0,0,53,0.328000," ","int(sin(1/4+x+x^2)^2/x^2,x)","\int \frac{\sin^{2}\left(\frac{1}{4}+x +x^{2}\right)}{x^{2}}\, dx"," ",0,"int(sin(1/4+x+x^2)^2/x^2,x)","F"
29,1,399,237,0.029000," ","int((e*x+d)^2*sin(c*x^2+b*x+a),x)","-\frac{e^{2} x \cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{e^{2} b \left(-\frac{\cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{2 c}+\frac{e^{2} \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)+\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}-\frac{d e \cos \left(c \,x^{2}+b x +a \right)}{c}-\frac{d e b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 c^{\frac{3}{2}}}+\frac{\sqrt{2}\, \sqrt{\pi}\, d^{2} \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 \sqrt{c}}"," ",0,"-1/2*e^2/c*x*cos(c*x^2+b*x+a)-1/2*e^2*b/c*(-1/2*cos(c*x^2+b*x+a)/c-1/4*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))))+1/4*e^2/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))+sin((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))-d*e/c*cos(c*x^2+b*x+a)-1/2*d*e*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))+1/2*2^(1/2)*Pi^(1/2)/c^(1/2)*d^2*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
30,1,184,116,0.025000," ","int((e*x+d)*sin(c*x^2+b*x+a),x)","-\frac{e \cos \left(c \,x^{2}+b x +a \right)}{2 c}-\frac{e b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{4 c^{\frac{3}{2}}}+\frac{\sqrt{2}\, \sqrt{\pi}\, d \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 \sqrt{c}}"," ",0,"-1/2*e*cos(c*x^2+b*x+a)/c-1/4*e*b/c^(3/2)*2^(1/2)*Pi^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))+1/2*2^(1/2)*Pi^(1/2)/c^(1/2)*d*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
31,1,82,81,0.023000," ","int(sin(c*x^2+b*x+a),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)-\sin \left(\frac{\frac{b^{2}}{4}-c a}{c}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(c x +\frac{b}{2}\right)}{\sqrt{\pi}\, \sqrt{c}}\right)\right)}{2 \sqrt{c}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/c^(1/2)*(cos((1/4*b^2-c*a)/c)*FresnelS(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b))-sin((1/4*b^2-c*a)/c)*FresnelC(2^(1/2)/Pi^(1/2)/c^(1/2)*(c*x+1/2*b)))","A"
32,0,0,21,0.209000," ","int(sin(c*x^2+b*x+a)/(e*x+d),x)","\int \frac{\sin \left(c \,x^{2}+b x +a \right)}{e x +d}\, dx"," ",0,"int(sin(c*x^2+b*x+a)/(e*x+d),x)","F"
33,1,378,237,0.074000," ","int((e*x+d)^2*sin(c*x^2+b*x+a)^2,x)","-\frac{e^{2} x \sin \left(2 c \,x^{2}+2 b x +2 a \right)}{8 c}+\frac{e^{2} b \left(\frac{\sin \left(2 c \,x^{2}+2 b x +2 a \right)}{4 c}-\frac{b \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 c^{\frac{3}{2}}}\right)}{4 c}+\frac{e^{2} \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)-\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{16 c^{\frac{3}{2}}}-\frac{d e \sin \left(2 c \,x^{2}+2 b x +2 a \right)}{4 c}+\frac{d e b \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 c^{\frac{3}{2}}}-\frac{\sqrt{\pi}\, d^{2} \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 \sqrt{c}}+\frac{x^{2} d e}{2}+\frac{d^{2} x}{2}+\frac{x^{3} e^{2}}{6}"," ",0,"-1/8*e^2/c*x*sin(2*c*x^2+2*b*x+2*a)+1/4*e^2*b/c*(1/4*sin(2*c*x^2+2*b*x+2*a)/c-1/4*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2))))+1/16*e^2/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2))-sin(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2)))-1/4*d*e/c*sin(2*c*x^2+2*b*x+2*a)+1/4*d*e*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))-1/4*Pi^(1/2)/c^(1/2)*d^2*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))+1/2*x^2*d*e+1/2*d^2*x+1/6*x^3*e^2","A"
34,1,170,122,0.060000," ","int((e*x+d)*sin(c*x^2+b*x+a)^2,x)","-\frac{e \sin \left(2 c \,x^{2}+2 b x +2 a \right)}{8 c}+\frac{e b \sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{8 c^{\frac{3}{2}}}-\frac{\sqrt{\pi}\, d \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 \sqrt{c}}+\frac{d x}{2}+\frac{e \,x^{2}}{4}"," ",0,"-1/8*e*sin(2*c*x^2+2*b*x+2*a)/c+1/8*e*b/c^(3/2)*Pi^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))-1/4*Pi^(1/2)/c^(1/2)*d*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))+1/2*d*x+1/4*e*x^2","A"
35,1,72,74,0.055000," ","int(sin(c*x^2+b*x+a)^2,x)","\frac{x}{2}-\frac{\sqrt{\pi}\, \left(\cos \left(\frac{-4 c a +b^{2}}{2 c}\right) \FresnelC \left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)+\sin \left(\frac{-4 c a +b^{2}}{2 c}\right) \mathrm{S}\left(\frac{2 c x +b}{\sqrt{c}\, \sqrt{\pi}}\right)\right)}{4 \sqrt{c}}"," ",0,"1/2*x-1/4*Pi^(1/2)/c^(1/2)*(cos(1/2*(-4*a*c+b^2)/c)*FresnelC((2*c*x+b)/c^(1/2)/Pi^(1/2))+sin(1/2*(-4*a*c+b^2)/c)*FresnelS((2*c*x+b)/c^(1/2)/Pi^(1/2)))","A"
36,0,0,39,0.419000," ","int(sin(c*x^2+b*x+a)^2/(e*x+d),x)","\int \frac{\sin^{2}\left(c \,x^{2}+b x +a \right)}{e x +d}\, dx"," ",0,"int(sin(c*x^2+b*x+a)^2/(e*x+d),x)","F"