1,1,123,104,0.030000," ","int(x^7*FresnelS(b*x),x)","\frac{\frac{\mathrm{S}\left(b x \right) b^{8} x^{8}}{8}+\frac{b^{7} x^{7} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{8 \pi}-\frac{7 \left(\frac{b^{5} x^{5} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{5 \left(-\frac{b^{3} x^{3} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{3 b x \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{3 \,\mathrm{S}\left(b x \right)}{\pi}}{\pi}\right)}{\pi}\right)}{8 \pi}}{b^{8}}"," ",0,"1/b^8*(1/8*FresnelS(b*x)*b^8*x^8+1/8/Pi*b^7*x^7*cos(1/2*b^2*Pi*x^2)-7/8/Pi*(1/Pi*b^5*x^5*sin(1/2*b^2*Pi*x^2)-5/Pi*(-1/Pi*b^3*x^3*cos(1/2*b^2*Pi*x^2)+3/Pi*(1/Pi*b*x*sin(1/2*b^2*Pi*x^2)-1/Pi*FresnelS(b*x)))))","A"
2,1,107,91,0.019000," ","int(x^6*FresnelS(b*x),x)","\frac{\frac{b^{7} x^{7} \mathrm{S}\left(b x \right)}{7}+\frac{b^{6} x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}-\frac{6 \left(\frac{b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{4 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{\pi}\right)}{7 \pi}}{b^{7}}"," ",0,"1/b^7*(1/7*b^7*x^7*FresnelS(b*x)+1/7/Pi*b^6*x^6*cos(1/2*b^2*Pi*x^2)-6/7/Pi*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))))","A"
3,1,96,83,0.020000," ","int(x^5*FresnelS(b*x),x)","\frac{\frac{b^{6} x^{6} \mathrm{S}\left(b x \right)}{6}+\frac{b^{5} x^{5} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 \pi}-\frac{5 \left(\frac{b^{3} x^{3} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{3 \left(-\frac{b x \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\FresnelC \left(b x \right)}{\pi}\right)}{\pi}\right)}{6 \pi}}{b^{6}}"," ",0,"1/b^6*(1/6*b^6*x^6*FresnelS(b*x)+1/6/Pi*b^5*x^5*cos(1/2*b^2*Pi*x^2)-5/6/Pi*(1/Pi*b^3*x^3*sin(1/2*b^2*Pi*x^2)-3/Pi*(-1/Pi*b*x*cos(1/2*b^2*Pi*x^2)+1/Pi*FresnelC(b*x))))","A"
4,1,80,70,0.019000," ","int(x^4*FresnelS(b*x),x)","\frac{\frac{b^{5} x^{5} \mathrm{S}\left(b x \right)}{5}+\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}-\frac{4 \left(\frac{b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{5 \pi}}{b^{5}}"," ",0,"1/b^5*(1/5*b^5*x^5*FresnelS(b*x)+1/5/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)-4/5/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2)))","A"
5,1,70,62,0.023000," ","int(x^3*FresnelS(b*x),x)","\frac{\frac{b^{4} x^{4} \mathrm{S}\left(b x \right)}{4}+\frac{b^{3} x^{3} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 \pi}-\frac{3 \left(\frac{b x \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{\mathrm{S}\left(b x \right)}{\pi}\right)}{4 \pi}}{b^{4}}"," ",0,"1/b^4*(1/4*b^4*x^4*FresnelS(b*x)+1/4/Pi*b^3*x^3*cos(1/2*b^2*Pi*x^2)-3/4/Pi*(1/Pi*b*x*sin(1/2*b^2*Pi*x^2)-1/Pi*FresnelS(b*x)))","A"
6,1,54,49,0.019000," ","int(x^2*FresnelS(b*x),x)","\frac{\frac{b^{3} x^{3} \mathrm{S}\left(b x \right)}{3}+\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi}-\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi^{2}}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelS(b*x)+1/3/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)-2/3/Pi^2*sin(1/2*b^2*Pi*x^2))","A"
7,1,44,41,0.022000," ","int(x*FresnelS(b*x),x)","\frac{\frac{b^{2} x^{2} \mathrm{S}\left(b x \right)}{2}+\frac{b x \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 \pi}-\frac{\FresnelC \left(b x \right)}{2 \pi}}{b^{2}}"," ",0,"1/b^2*(1/2*b^2*x^2*FresnelS(b*x)+1/2/Pi*b*x*cos(1/2*b^2*Pi*x^2)-1/2/Pi*FresnelC(b*x))","A"
8,1,27,24,0.017000," ","int(FresnelS(b*x),x)","\frac{b x \,\mathrm{S}\left(b x \right)+\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*(b*x*FresnelS(b*x)+1/Pi*cos(1/2*b^2*Pi*x^2))","A"
9,1,29,45,0.055000," ","int(FresnelS(b*x)/x,x)","\frac{\pi  \,x^{3} b^{3} \hypergeom \left(\left[\frac{3}{4}, \frac{3}{4}\right], \left[\frac{3}{2}, \frac{7}{4}, \frac{7}{4}\right], -\frac{x^{4} \pi^{2} b^{4}}{16}\right)}{18}"," ",0,"1/18*Pi*x^3*b^3*hypergeom([3/4,3/4],[3/2,7/4,7/4],-1/16*x^4*Pi^2*b^4)","A"
10,1,28,23,0.021000," ","int(FresnelS(b*x)/x^2,x)","b \left(-\frac{\mathrm{S}\left(b x \right)}{b x}+\frac{\Si \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2}\right)"," ",0,"b*(-FresnelS(b*x)/b/x+1/2*Si(1/2*b^2*Pi*x^2))","A"
11,1,43,36,0.022000," ","int(FresnelS(b*x)/x^3,x)","b^{2} \left(-\frac{\mathrm{S}\left(b x \right)}{2 b^{2} x^{2}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b x}+\frac{\pi  \FresnelC \left(b x \right)}{2}\right)"," ",0,"b^2*(-1/2*FresnelS(b*x)/b^2/x^2-1/2*sin(1/2*b^2*Pi*x^2)/b/x+1/2*Pi*FresnelC(b*x))","A"
12,1,49,42,0.019000," ","int(FresnelS(b*x)/x^4,x)","b^{3} \left(-\frac{\mathrm{S}\left(b x \right)}{3 b^{3} x^{3}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 b^{2} x^{2}}+\frac{\pi  \Ci \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{12}\right)"," ",0,"b^3*(-1/3*FresnelS(b*x)/b^3/x^3-1/6*sin(1/2*b^2*Pi*x^2)/b^2/x^2+1/12*Pi*Ci(1/2*b^2*Pi*x^2))","A"
13,1,65,57,0.020000," ","int(FresnelS(b*x)/x^5,x)","b^{4} \left(-\frac{\mathrm{S}\left(b x \right)}{4 b^{4} x^{4}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{12 b^{3} x^{3}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}-\pi  \,\mathrm{S}\left(b x \right)\right)}{12}\right)"," ",0,"b^4*(-1/4*FresnelS(b*x)/b^4/x^4-1/12*sin(1/2*b^2*Pi*x^2)/b^3/x^3+1/12*Pi*(-1/b/x*cos(1/2*b^2*Pi*x^2)-Pi*FresnelS(b*x)))","A"
14,1,71,63,0.022000," ","int(FresnelS(b*x)/x^6,x)","b^{5} \left(-\frac{\mathrm{S}\left(b x \right)}{5 b^{5} x^{5}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{20 b^{4} x^{4}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}-\frac{\pi  \Si \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{20}\right)"," ",0,"b^5*(-1/5*FresnelS(b*x)/b^5/x^5-1/20*sin(1/2*b^2*Pi*x^2)/b^4/x^4+1/20*Pi*(-1/2/b^2/x^2*cos(1/2*b^2*Pi*x^2)-1/4*Pi*Si(1/2*b^2*Pi*x^2)))","A"
15,1,86,78,0.020000," ","int(FresnelS(b*x)/x^7,x)","b^{6} \left(-\frac{\mathrm{S}\left(b x \right)}{6 b^{6} x^{6}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{30 b^{5} x^{5}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 b^{3} x^{3}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}+\pi  \FresnelC \left(b x \right)\right)}{3}\right)}{30}\right)"," ",0,"b^6*(-1/6*FresnelS(b*x)/b^6/x^6-1/30*sin(1/2*b^2*Pi*x^2)/b^5/x^5+1/30*Pi*(-1/3/b^3/x^3*cos(1/2*b^2*Pi*x^2)-1/3*Pi*(-sin(1/2*b^2*Pi*x^2)/b/x+Pi*FresnelC(b*x))))","A"
16,1,93,84,0.025000," ","int(FresnelS(b*x)/x^8,x)","b^{7} \left(-\frac{\mathrm{S}\left(b x \right)}{7 b^{7} x^{7}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{42 b^{6} x^{6}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 b^{4} x^{4}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}+\frac{\pi  \Ci \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{4}\right)}{42}\right)"," ",0,"b^7*(-1/7*FresnelS(b*x)/b^7/x^7-1/42*sin(1/2*b^2*Pi*x^2)/b^6/x^6+1/42*Pi*(-1/4/b^4/x^4*cos(1/2*b^2*Pi*x^2)-1/4*Pi*(-1/2*sin(1/2*b^2*Pi*x^2)/b^2/x^2+1/4*Pi*Ci(1/2*b^2*Pi*x^2))))","A"
17,1,109,99,0.021000," ","int(FresnelS(b*x)/x^9,x)","b^{8} \left(-\frac{\mathrm{S}\left(b x \right)}{8 b^{8} x^{8}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{56 b^{7} x^{7}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 b^{5} x^{5}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 b^{3} x^{3}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}-\pi  \,\mathrm{S}\left(b x \right)\right)}{3}\right)}{5}\right)}{56}\right)"," ",0,"b^8*(-1/8*FresnelS(b*x)/b^8/x^8-1/56*sin(1/2*b^2*Pi*x^2)/b^7/x^7+1/56*Pi*(-1/5/b^5/x^5*cos(1/2*b^2*Pi*x^2)-1/5*Pi*(-1/3*sin(1/2*b^2*Pi*x^2)/b^3/x^3+1/3*Pi*(-1/b/x*cos(1/2*b^2*Pi*x^2)-Pi*FresnelS(b*x)))))","A"
18,1,115,105,0.022000," ","int(FresnelS(b*x)/x^10,x)","b^{9} \left(-\frac{\mathrm{S}\left(b x \right)}{9 b^{9} x^{9}}-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{72 b^{8} x^{8}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 b^{6} x^{6}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 b^{4} x^{4}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}-\frac{\pi  \Si \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{4}\right)}{6}\right)}{72}\right)"," ",0,"b^9*(-1/9*FresnelS(b*x)/b^9/x^9-1/72*sin(1/2*b^2*Pi*x^2)/b^8/x^8+1/72*Pi*(-1/6/b^6/x^6*cos(1/2*b^2*Pi*x^2)-1/6*Pi*(-1/4*sin(1/2*b^2*Pi*x^2)/b^4/x^4+1/4*Pi*(-1/2/b^2/x^2*cos(1/2*b^2*Pi*x^2)-1/4*Pi*Si(1/2*b^2*Pi*x^2)))))","A"
19,1,400,270,0.030000," ","int((d*x+c)^3*FresnelS(b*x+a),x)","\frac{\frac{\mathrm{S}\left(b x +a \right) \left(\left(b x +a \right) d -a d +b c \right)^{4}}{4 b^{3} d}-\frac{-\frac{d^{4} \left(b x +a \right)^{3} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{3 d^{4} \left(\frac{\left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{\mathrm{S}\left(b x +a \right)}{\pi}\right)}{\pi}-\frac{\left(-4 a \,d^{4}+4 b c \,d^{3}\right) \left(b x +a \right)^{2} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 \left(-4 a \,d^{4}+4 b c \,d^{3}\right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}-\frac{\left(6 a^{2} d^{4}-12 a b c \,d^{3}+6 b^{2} c^{2} d^{2}\right) \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{\left(6 a^{2} d^{4}-12 a b c \,d^{3}+6 b^{2} c^{2} d^{2}\right) \FresnelC \left(b x +a \right)}{\pi}-\frac{\left(-4 a^{3} d^{4}+12 a^{2} b c \,d^{3}-12 a \,b^{2} c^{2} d^{2}+4 b^{3} c^{3} d \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+a^{4} d^{4} \mathrm{S}\left(b x +a \right)-4 a^{3} b c \,d^{3} \mathrm{S}\left(b x +a \right)+6 a^{2} b^{2} c^{2} d^{2} \mathrm{S}\left(b x +a \right)-4 a \,b^{3} c^{3} d \,\mathrm{S}\left(b x +a \right)+b^{4} c^{4} \mathrm{S}\left(b x +a \right)}{4 b^{3} d}}{b}"," ",0,"1/b*(1/4*FresnelS(b*x+a)*((b*x+a)*d-a*d+b*c)^4/b^3/d-1/4/b^3/d*(-d^4/Pi*(b*x+a)^3*cos(1/2*Pi*(b*x+a)^2)+3*d^4/Pi*(1/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-1/Pi*FresnelS(b*x+a))-(-4*a*d^4+4*b*c*d^3)/Pi*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)+2*(-4*a*d^4+4*b*c*d^3)/Pi^2*sin(1/2*Pi*(b*x+a)^2)-(6*a^2*d^4-12*a*b*c*d^3+6*b^2*c^2*d^2)/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+(6*a^2*d^4-12*a*b*c*d^3+6*b^2*c^2*d^2)/Pi*FresnelC(b*x+a)-(-4*a^3*d^4+12*a^2*b*c*d^3-12*a*b^2*c^2*d^2+4*b^3*c^3*d)/Pi*cos(1/2*Pi*(b*x+a)^2)+a^4*d^4*FresnelS(b*x+a)-4*a^3*b*c*d^3*FresnelS(b*x+a)+6*a^2*b^2*c^2*d^2*FresnelS(b*x+a)-4*a*b^3*c^3*d*FresnelS(b*x+a)+b^4*c^4*FresnelS(b*x+a)))","A"
20,1,251,177,0.025000," ","int((d*x+c)^2*FresnelS(b*x+a),x)","\frac{\frac{\mathrm{S}\left(b x +a \right) \left(\left(b x +a \right) d -a d +b c \right)^{3}}{3 b^{2} d}-\frac{-\frac{d^{3} \left(b x +a \right)^{2} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 d^{3} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}-\frac{\left(-3 a \,d^{3}+3 b c \,d^{2}\right) \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{\left(-3 a \,d^{3}+3 b c \,d^{2}\right) \FresnelC \left(b x +a \right)}{\pi}-\frac{\left(3 a^{2} d^{3}-6 a b c \,d^{2}+3 b^{2} c^{2} d \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-a^{3} d^{3} \mathrm{S}\left(b x +a \right)+3 a^{2} b c \,d^{2} \mathrm{S}\left(b x +a \right)-3 a \,b^{2} c^{2} d \,\mathrm{S}\left(b x +a \right)+b^{3} c^{3} \mathrm{S}\left(b x +a \right)}{3 b^{2} d}}{b}"," ",0,"1/b*(1/3*FresnelS(b*x+a)*((b*x+a)*d-a*d+b*c)^3/b^2/d-1/3/b^2/d*(-d^3/Pi*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)+2*d^3/Pi^2*sin(1/2*Pi*(b*x+a)^2)-(-3*a*d^3+3*b*c*d^2)/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+(-3*a*d^3+3*b*c*d^2)/Pi*FresnelC(b*x+a)-(3*a^2*d^3-6*a*b*c*d^2+3*b^2*c^2*d)/Pi*cos(1/2*Pi*(b*x+a)^2)-a^3*d^3*FresnelS(b*x+a)+3*a^2*b*c*d^2*FresnelS(b*x+a)-3*a*b^2*c^2*d*FresnelS(b*x+a)+b^3*c^3*FresnelS(b*x+a)))","A"
21,1,108,109,0.023000," ","int((d*x+c)*FresnelS(b*x+a),x)","\frac{\frac{\mathrm{S}\left(b x +a \right) \left(\frac{\left(b x +a \right)^{2} d}{2}-a d \left(b x +a \right)+b c \left(b x +a \right)\right)}{b}-\frac{-\frac{d \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{d \FresnelC \left(b x +a \right)}{\pi}-\frac{\left(-2 a d +2 b c \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{2 b}}{b}"," ",0,"1/b*(FresnelS(b*x+a)/b*(1/2*(b*x+a)^2*d-a*d*(b*x+a)+b*c*(b*x+a))-1/2/b*(-d/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+d/Pi*FresnelC(b*x+a)-(-2*a*d+2*b*c)/Pi*cos(1/2*Pi*(b*x+a)^2)))","A"
22,1,33,34,0.011000," ","int(FresnelS(b*x+a),x)","\frac{\left(b x +a \right) \mathrm{S}\left(b x +a \right)+\frac{\cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelS(b*x+a)+1/Pi*cos(1/2*Pi*(b*x+a)^2))","A"
23,0,0,16,0.101000," ","int(FresnelS(b*x+a)/(d*x+c),x)","\int \frac{\mathrm{S}\left(b x +a \right)}{d x +c}\, dx"," ",0,"int(FresnelS(b*x+a)/(d*x+c),x)","F"
24,0,0,16,0.092000," ","int(FresnelS(b*x+a)/(d*x+c)^2,x)","\int \frac{\mathrm{S}\left(b x +a \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(FresnelS(b*x+a)/(d*x+c)^2,x)","F"
25,1,189,203,0.024000," ","int(x^3*FresnelS(b*x+a),x)","\frac{\frac{\mathrm{S}\left(b x +a \right) b^{4} x^{4}}{4}+\frac{\left(b x +a \right)^{3} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{4 \pi}-\frac{3 \left(\frac{\left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{\mathrm{S}\left(b x +a \right)}{\pi}\right)}{4 \pi}-\frac{a \left(b x +a \right)^{2} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 a \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}+\frac{3 a^{2} \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{2 \pi}-\frac{3 a^{2} \FresnelC \left(b x +a \right)}{2 \pi}-\frac{a^{3} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{a^{4} \mathrm{S}\left(b x +a \right)}{4}}{b^{4}}"," ",0,"1/b^4*(1/4*FresnelS(b*x+a)*b^4*x^4+1/4/Pi*(b*x+a)^3*cos(1/2*Pi*(b*x+a)^2)-3/4/Pi*(1/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-1/Pi*FresnelS(b*x+a))-a/Pi*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)+2*a/Pi^2*sin(1/2*Pi*(b*x+a)^2)+3/2*a^2/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)-3/2*a^2/Pi*FresnelC(b*x+a)-a^3/Pi*cos(1/2*Pi*(b*x+a)^2)-1/4*a^4*FresnelS(b*x+a))","A"
26,1,121,131,0.023000," ","int(x^2*FresnelS(b*x+a),x)","\frac{\frac{b^{3} x^{3} \mathrm{S}\left(b x +a \right)}{3}+\frac{\left(b x +a \right)^{2} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{3 \pi}-\frac{2 \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{3 \pi^{2}}-\frac{a \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{a \FresnelC \left(b x +a \right)}{\pi}+\frac{a^{2} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{a^{3} \mathrm{S}\left(b x +a \right)}{3}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelS(b*x+a)+1/3/Pi*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)-2/3/Pi^2*sin(1/2*Pi*(b*x+a)^2)-a/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+a/Pi*FresnelC(b*x+a)+a^2/Pi*cos(1/2*Pi*(b*x+a)^2)+1/3*a^3*FresnelS(b*x+a))","A"
27,1,80,84,0.024000," ","int(x*FresnelS(b*x+a),x)","\frac{\mathrm{S}\left(b x +a \right) \left(\frac{\left(b x +a \right)^{2}}{2}-a \left(b x +a \right)\right)+\frac{\left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{2 \pi}-\frac{\FresnelC \left(b x +a \right)}{2 \pi}-\frac{a \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b^{2}}"," ",0,"1/b^2*(FresnelS(b*x+a)*(1/2*(b*x+a)^2-a*(b*x+a))+1/2/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)-1/2/Pi*FresnelC(b*x+a)-a/Pi*cos(1/2*Pi*(b*x+a)^2))","A"
28,1,33,34,0.000000," ","int(FresnelS(b*x+a),x)","\frac{\left(b x +a \right) \mathrm{S}\left(b x +a \right)+\frac{\cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelS(b*x+a)+1/Pi*cos(1/2*Pi*(b*x+a)^2))","A"
29,0,0,12,0.028000," ","int(FresnelS(b*x+a)/x,x)","\int \frac{\mathrm{S}\left(b x +a \right)}{x}\, dx"," ",0,"int(FresnelS(b*x+a)/x,x)","F"
30,0,0,12,0.060000," ","int(FresnelS(b*x+a)/x^2,x)","\int \frac{\mathrm{S}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(FresnelS(b*x+a)/x^2,x)","F"
31,0,0,223,0.020000," ","int(x^7*FresnelS(b*x)^2,x)","\int x^{7} \mathrm{S}\left(b x \right)^{2}\, dx"," ",0,"int(x^7*FresnelS(b*x)^2,x)","F"
32,1,324,205,0.094000," ","int(x^6*FresnelS(b*x)^2,x)","\frac{\frac{b^{7} x^{7} \mathrm{S}\left(b x \right)^{2}}{7}-2 \,\mathrm{S}\left(b x \right) \left(-\frac{b^{6} x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}+\frac{\frac{6 b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}-\frac{24 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{7 \pi}}{\pi}\right)+\frac{\frac{6}{35} \pi^{2} b^{5} x^{5}-\frac{48}{7} b x}{\pi^{4}}-\frac{6 \left(\frac{\pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{3 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)\right)}{7 \pi^{4}}-\frac{-\frac{\pi  \,b^{5} x^{5} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{5 \pi  \left(\frac{b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{3 \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2 \pi}\right)}{2}+\frac{12 b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}-\frac{6 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{\pi}}{7 \pi^{3}}}{b^{7}}"," ",0,"1/b^7*(1/7*b^7*x^7*FresnelS(b*x)^2-2*FresnelS(b*x)*(-1/7/Pi*b^6*x^6*cos(1/2*b^2*Pi*x^2)+6/7/Pi*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))))+6/7/Pi^4*(1/5*Pi^2*b^5*x^5-8*b*x)-6/7/Pi^4*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))-1/7/Pi^3*(-1/2*Pi*b^5*x^5*cos(b^2*Pi*x^2)+5/2*Pi*(1/2/Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))+12/Pi*b*x*cos(b^2*Pi*x^2)-6/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))","A"
33,0,0,227,0.021000," ","int(x^5*FresnelS(b*x)^2,x)","\int x^{5} \mathrm{S}\left(b x \right)^{2}\, dx"," ",0,"int(x^5*FresnelS(b*x)^2,x)","F"
34,1,208,151,0.061000," ","int(x^4*FresnelS(b*x)^2,x)","\frac{\frac{b^{5} x^{5} \mathrm{S}\left(b x \right)^{2}}{5}-2 \,\mathrm{S}\left(b x \right) \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi^{2}}}{\pi}\right)+\frac{4 b^{3} x^{3}}{15 \pi^{2}}-\frac{4 \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{5 \pi^{2}}-\frac{-\frac{\pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{3 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{5 \pi^{3}}}{b^{5}}"," ",0,"1/b^5*(1/5*b^5*x^5*FresnelS(b*x)^2-2*FresnelS(b*x)*(-1/5/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/5/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2)))+4/15/Pi^2*b^3*x^3-4/5/Pi^2*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-1/5/Pi^3*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2))))","A"
35,0,0,122,0.019000," ","int(x^3*FresnelS(b*x)^2,x)","\int x^{3} \mathrm{S}\left(b x \right)^{2}\, dx"," ",0,"int(x^3*FresnelS(b*x)^2,x)","F"
36,1,122,104,0.054000," ","int(x^2*FresnelS(b*x)^2,x)","\frac{\frac{b^{3} x^{3} \mathrm{S}\left(b x \right)^{2}}{3}-2 \,\mathrm{S}\left(b x \right) \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi^{2}}\right)+\frac{2 b x}{3 \pi^{2}}-\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{3 \pi^{2}}-\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}}{3 \pi}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelS(b*x)^2-2*FresnelS(b*x)*(-1/3/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/3/Pi^2*sin(1/2*b^2*Pi*x^2))+2/3/Pi^2*b*x-1/3/Pi^2*2^(1/2)*FresnelC(b*x*2^(1/2))-1/3/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))","A"
37,0,0,119,0.020000," ","int(x*FresnelS(b*x)^2,x)","\int x \mathrm{S}\left(b x \right)^{2}\, dx"," ",0,"int(x*FresnelS(b*x)^2,x)","F"
38,1,49,49,0.028000," ","int(FresnelS(b*x)^2,x)","\frac{b x \mathrm{S}\left(b x \right)^{2}+\frac{2 \,\mathrm{S}\left(b x \right) \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi}}{b}"," ",0,"1/b*(b*x*FresnelS(b*x)^2+2*FresnelS(b*x)/Pi*cos(1/2*b^2*Pi*x^2)-1/2/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))","A"
39,0,0,12,0.023000," ","int(FresnelS(b*x)^2/x,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x}\, dx"," ",0,"int(FresnelS(b*x)^2/x,x)","F"
40,0,0,35,0.019000," ","int(FresnelS(b*x)^2/x^2,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{2}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^2,x)","F"
41,0,0,34,0.021000," ","int(FresnelS(b*x)^2/x^3,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{3}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^3,x)","F"
42,0,0,99,0.020000," ","int(FresnelS(b*x)^2/x^4,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{4}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^4,x)","F"
43,0,0,109,0.023000," ","int(FresnelS(b*x)^2/x^5,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{5}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^5,x)","F"
44,0,0,144,0.023000," ","int(FresnelS(b*x)^2/x^6,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{6}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^6,x)","F"
45,0,0,143,0.022000," ","int(FresnelS(b*x)^2/x^7,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{7}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^7,x)","F"
46,0,0,200,0.021000," ","int(FresnelS(b*x)^2/x^8,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{8}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^8,x)","F"
47,0,0,210,0.029000," ","int(FresnelS(b*x)^2/x^9,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{9}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^9,x)","F"
48,0,0,245,0.021000," ","int(FresnelS(b*x)^2/x^10,x)","\int \frac{\mathrm{S}\left(b x \right)^{2}}{x^{10}}\, dx"," ",0,"int(FresnelS(b*x)^2/x^10,x)","F"
49,0,0,451,0.092000," ","int((d*x+c)^2*FresnelS(b*x+a)^2,x)","\int \left(d x +c \right)^{2} \mathrm{S}\left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)^2*FresnelS(b*x+a)^2,x)","F"
50,0,0,249,0.020000," ","int((d*x+c)*FresnelS(b*x+a)^2,x)","\int \left(d x +c \right) \mathrm{S}\left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)*FresnelS(b*x+a)^2,x)","F"
51,1,60,64,0.011000," ","int(FresnelS(b*x+a)^2,x)","\frac{\left(b x +a \right) \mathrm{S}\left(b x +a \right)^{2}+\frac{2 \,\mathrm{S}\left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{\sqrt{2}\, \mathrm{S}\left(\left(b x +a \right) \sqrt{2}\right)}{2 \pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelS(b*x+a)^2+2*FresnelS(b*x+a)/Pi*cos(1/2*Pi*(b*x+a)^2)-1/2/Pi*2^(1/2)*FresnelS((b*x+a)*2^(1/2)))","A"
52,0,0,18,0.091000," ","int(FresnelS(b*x+a)^2/(d*x+c),x)","\int \frac{\mathrm{S}\left(b x +a \right)^{2}}{d x +c}\, dx"," ",0,"int(FresnelS(b*x+a)^2/(d*x+c),x)","F"
53,0,0,18,0.087000," ","int(FresnelS(b*x+a)^2/(d*x+c)^2,x)","\int \frac{\mathrm{S}\left(b x +a \right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(FresnelS(b*x+a)^2/(d*x+c)^2,x)","F"
54,0,0,201,0.161000," ","int(x^2*FresnelS(d*(a+b*ln(c*x^n))),x)","\int x^{2} \mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*FresnelS(d*(a+b*ln(c*x^n))),x)","F"
55,0,0,203,0.121000," ","int(x*FresnelS(d*(a+b*ln(c*x^n))),x)","\int x \,\mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*FresnelS(d*(a+b*ln(c*x^n))),x)","F"
56,0,0,186,0.112000," ","int(FresnelS(d*(a+b*ln(c*x^n))),x)","\int \mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(FresnelS(d*(a+b*ln(c*x^n))),x)","F"
57,1,80,63,0.040000," ","int(FresnelS(d*(a+b*ln(c*x^n)))/x,x)","\frac{\ln \left(c \,x^{n}\right) \mathrm{S}\left(a d +b d \ln \left(c \,x^{n}\right)\right)}{n}+\frac{\mathrm{S}\left(a d +b d \ln \left(c \,x^{n}\right)\right) a}{n b}+\frac{\cos \left(\frac{\pi  \left(a d +b d \ln \left(c \,x^{n}\right)\right)^{2}}{2}\right)}{n b d \pi}"," ",0,"1/n*ln(c*x^n)*FresnelS(a*d+b*d*ln(c*x^n))+1/n/b*FresnelS(a*d+b*d*ln(c*x^n))*a+1/n/b/d/Pi*cos(1/2*Pi*(a*d+b*d*ln(c*x^n))^2)","A"
58,0,0,185,0.122000," ","int(FresnelS(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(FresnelS(d*(a+b*ln(c*x^n)))/x^2,x)","F"
59,0,0,200,0.129000," ","int(FresnelS(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(FresnelS(d*(a+b*ln(c*x^n)))/x^3,x)","F"
60,0,0,250,0.086000," ","int((e*x)^m*FresnelS(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \mathrm{S}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*FresnelS(d*(a+b*ln(c*x^n))),x)","F"
61,0,0,46,0.043000," ","int(exp(c+1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x)","\int {\mathrm e}^{c +\frac{i b^{2} \pi  \,x^{2}}{2}} \mathrm{S}\left(b x \right)\, dx"," ",0,"int(exp(c+1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
62,0,0,46,0.040000," ","int(exp(c-1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x)","\int {\mathrm e}^{c -\frac{i b^{2} \pi  \,x^{2}}{2}} \mathrm{S}\left(b x \right)\, dx"," ",0,"int(exp(c-1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
63,0,0,81,0.049000," ","int(FresnelS(b*x)*sin(c+1/2*b^2*Pi*x^2),x)","\int \mathrm{S}\left(b x \right) \sin \left(c +\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(FresnelS(b*x)*sin(c+1/2*b^2*Pi*x^2),x)","F"
64,0,0,81,0.054000," ","int(cos(c+1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int \cos \left(c +\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(cos(c+1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
65,1,12,11,0.007000," ","int(FresnelS(b*x)^2*sin(1/2*b^2*Pi*x^2),x)","\frac{\mathrm{S}\left(b x \right)^{3}}{3 b}"," ",0,"1/3*FresnelS(b*x)^3/b","A"
66,1,12,11,0.005000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\mathrm{S}\left(b x \right)^{2}}{2 b}"," ",0,"1/2*FresnelS(b*x)^2/b","A"
67,1,10,9,0.082000," ","int(sin(1/2*b^2*Pi*x^2)/FresnelS(b*x),x)","\frac{\ln \left(\mathrm{S}\left(b x \right)\right)}{b}"," ",0,"ln(FresnelS(b*x))/b","A"
68,1,12,11,0.006000," ","int(sin(1/2*b^2*Pi*x^2)/FresnelS(b*x)^2,x)","-\frac{1}{b \,\mathrm{S}\left(b x \right)}"," ",0,"-1/b/FresnelS(b*x)","A"
69,1,12,11,0.007000," ","int(sin(1/2*b^2*Pi*x^2)/FresnelS(b*x)^3,x)","-\frac{1}{2 b \mathrm{S}\left(b x \right)^{2}}"," ",0,"-1/2/b/FresnelS(b*x)^2","A"
70,1,18,17,0.006000," ","int(FresnelS(b*x)^n*sin(1/2*b^2*Pi*x^2),x)","\frac{\mathrm{S}\left(b x \right)^{1+n}}{b \left(1+n \right)}"," ",0,"FresnelS(b*x)^(1+n)/b/(1+n)","A"
71,0,0,212,0.019000," ","int(x^8*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{8} \mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^8*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
72,1,318,194,0.011000," ","int(x^7*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(-\frac{b^{6} x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{6 b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{24 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{\pi}}{\pi}\right)}{b^{7}}-\frac{\frac{\frac{3}{5} \pi^{2} b^{5} x^{5}-24 b x}{\pi^{4}}-\frac{3 \left(\frac{\pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{3 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)\right)}{\pi^{4}}-\frac{-\frac{\pi  \,b^{5} x^{5} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{5 \pi  \left(\frac{b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{3 \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2 \pi}\right)}{2}+\frac{12 b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}-\frac{6 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{\pi}}{2 \pi^{3}}}{b^{7}}}{b}"," ",0,"(FresnelS(b*x)/b^7*(-1/Pi*b^6*x^6*cos(1/2*b^2*Pi*x^2)+6/Pi*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))))-1/b^7*(3/Pi^4*(1/5*Pi^2*b^5*x^5-8*b*x)-3/Pi^4*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))-1/2/Pi^3*(-1/2*Pi*b^5*x^5*cos(b^2*Pi*x^2)+5/2*Pi*(1/2/Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))+12/Pi*b*x*cos(b^2*Pi*x^2)-6/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
73,0,0,216,0.017000," ","int(x^6*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{6} \mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^6*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
74,1,202,140,0.008000," ","int(x^5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}}{\pi}\right)}{b^{5}}-\frac{\frac{2 b^{3} x^{3}}{3 \pi^{2}}-\frac{2 \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{\pi^{2}}-\frac{-\frac{\pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{3 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi^{3}}}{b^{5}}}{b}"," ",0,"(FresnelS(b*x)/b^5*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2)))-1/b^5*(2/3/Pi^2*b^3*x^3-2/Pi^2*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-1/2/Pi^3*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
75,0,0,110,0.016000," ","int(x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{4} \mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
76,1,115,93,0.006000," ","int(x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{b^{3}}-\frac{\frac{b x}{\pi^{2}}-\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi^{2}}-\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}}{2 \pi}}{b^{3}}}{b}"," ",0,"(FresnelS(b*x)/b^3*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))-1/b^3*(1/Pi^2*b*x-1/2/Pi^2*2^(1/2)*FresnelC(b*x*2^(1/2))-1/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
77,0,0,115,0.014000," ","int(x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{2} \mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
78,1,46,41,0.007000," ","int(x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{\pi  b}+\frac{\mathrm{S}\left(b x \sqrt{2}\right) \sqrt{2}}{4 b \pi}}{b}"," ",0,"(-cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/Pi/b+1/4*FresnelS(b*x*2^(1/2))/b/Pi*2^(1/2))/b","A"
79,1,12,11,0.000000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\mathrm{S}\left(b x \right)^{2}}{2 b}"," ",0,"1/2*FresnelS(b*x)^2/b","A"
80,0,0,20,0.016000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x)","F"
81,0,0,20,0.015000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{2}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x)","F"
82,0,0,83,0.014000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{3}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x)","F"
83,0,0,93,0.016000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{4}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x)","F"
84,0,0,128,0.016000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{5}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x)","F"
85,0,0,127,0.016000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{6}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x)","F"
86,0,0,184,0.019000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{7}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x)","F"
87,0,0,194,0.016000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{8}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x)","F"
88,0,0,229,0.015000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{9}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x)","F"
89,0,0,228,0.020000," ","int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x)","\int \frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{10}}\, dx"," ",0,"int(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x)","F"
90,0,0,19,0.040000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)^n,x)","\int \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)^{n}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)^n,x)","F"
91,0,0,271,0.039000," ","int(x^8*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int x^{8} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(x^8*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
92,1,321,195,0.069000," ","int(x^7*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(\frac{b^{6} x^{6} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{6 \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}}{\pi}\right)}{\pi}\right)}{b^{7}}-\frac{\frac{\frac{1}{7} \pi^{2} b^{7} x^{7}-8 b^{3} x^{3}}{2 \pi^{3}}+\frac{-\frac{3 \pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{9 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-12 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{\pi^{4}}-\frac{\frac{\pi  \,b^{5} x^{5} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{5 \pi  \left(-\frac{b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\frac{3 b x \sin \left(b^{2} \pi  \,x^{2}\right)}{4 \pi}-\frac{3 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{8 \pi}}{\pi}\right)}{2}-\frac{12 b x \sin \left(b^{2} \pi  \,x^{2}\right)}{\pi}+\frac{6 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{\pi}}{2 \pi^{3}}}{b^{7}}}{b}"," ",0,"(FresnelS(b*x)/b^7*(1/Pi*b^6*x^6*sin(1/2*b^2*Pi*x^2)-6/Pi*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))))-1/b^7*(1/2/Pi^3*(1/7*Pi^2*b^7*x^7-8*b^3*x^3)+3/Pi^4*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2)))-1/2/Pi^3*(1/2*Pi*b^5*x^5*sin(b^2*Pi*x^2)-5/2*Pi*(-1/2/Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2/Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2))))-12/Pi*b*x*sin(b^2*Pi*x^2)+6/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
93,0,0,166,0.032000," ","int(x^6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(x^6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
94,1,212,148,0.053000," ","int(x^5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(\frac{b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{4 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{\pi}\right)}{b^{5}}-\frac{\frac{\frac{1}{5} \pi^{2} b^{5} x^{5}-8 b x}{2 \pi^{3}}+\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi}}{\pi^{2}}-\frac{\frac{\pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{3 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi^{3}}}{b^{5}}}{b}"," ",0,"(FresnelS(b*x)/b^5*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2)))-1/b^5*(1/2/Pi^3*(1/5*Pi^2*b^5*x^5-8*b*x)+2/Pi^2*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-1/2/Pi^3*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
95,0,0,169,0.032000," ","int(x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
96,1,119,94,0.051000," ","int(x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\frac{\frac{\mathrm{S}\left(b x \right) \left(\frac{b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{b^{3}}-\frac{\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi^{2}}+\frac{b^{3} x^{3}}{6 \pi}-\frac{\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}}{2 \pi}}{b^{3}}}{b}"," ",0,"(FresnelS(b*x)/b^3*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))-1/b^3*(1/2/Pi^2*2^(1/2)*FresnelS(b*x*2^(1/2))+1/6/Pi*b^3*x^3-1/2/Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
97,0,0,65,0.040000," ","int(x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
98,1,52,49,0.030000," ","int(x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\frac{\frac{\mathrm{S}\left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b \pi}-\frac{\frac{b x}{2}-\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4}}{b \pi}}{b}"," ",0,"(FresnelS(b*x)/b*sin(1/2*b^2*Pi*x^2)/Pi-1/b/Pi*(1/2*b*x-1/4*2^(1/2)*FresnelC(b*x*2^(1/2))))/b","A"
99,0,0,62,0.025000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","\int \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x)","F"
100,0,0,20,0.033000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x)","F"
101,0,0,42,0.034000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{2}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2,x)","F"
102,0,0,77,0.033000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{3}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3,x)","F"
103,0,0,76,0.037000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{4}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4,x)","F"
104,0,0,131,0.033000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{5}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5,x)","F"
105,0,0,141,0.030000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{6}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6,x)","F"
106,0,0,176,0.030000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^7,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{7}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^7,x)","F"
107,0,0,175,0.034000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^8,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{8}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^8,x)","F"
108,0,0,232,0.033000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^9,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{9}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^9,x)","F"
109,0,0,242,0.032000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^10,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \mathrm{S}\left(b x \right)}{x^{10}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^10,x)","F"
110,1,123,104,0.006000," ","int(x^7*FresnelC(b*x),x)","\frac{\frac{\FresnelC \left(b x \right) b^{8} x^{8}}{8}-\frac{b^{7} x^{7} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{8 \pi}+\frac{-\frac{7 b^{5} x^{5} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{8 \pi}+\frac{7 \left(\frac{5 b^{3} x^{3} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{15 \left(-\frac{b x \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\FresnelC \left(b x \right)}{\pi}\right)}{\pi}\right)}{8 \pi}}{\pi}}{b^{8}}"," ",0,"1/b^8*(1/8*FresnelC(b*x)*b^8*x^8-1/8/Pi*b^7*x^7*sin(1/2*b^2*Pi*x^2)+7/8/Pi*(-1/Pi*b^5*x^5*cos(1/2*b^2*Pi*x^2)+5/Pi*(1/Pi*b^3*x^3*sin(1/2*b^2*Pi*x^2)-3/Pi*(-1/Pi*b*x*cos(1/2*b^2*Pi*x^2)+1/Pi*FresnelC(b*x)))))","A"
111,1,107,91,0.005000," ","int(x^6*FresnelC(b*x),x)","\frac{\frac{b^{7} x^{7} \FresnelC \left(b x \right)}{7}-\frac{b^{6} x^{6} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}+\frac{-\frac{6 b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}+\frac{6 \left(\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{7 \pi}}{\pi}}{b^{7}}"," ",0,"1/b^7*(1/7*b^7*x^7*FresnelC(b*x)-1/7/Pi*b^6*x^6*sin(1/2*b^2*Pi*x^2)+6/7/Pi*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))))","A"
112,1,97,83,0.005000," ","int(x^5*FresnelC(b*x),x)","\frac{\frac{b^{6} x^{6} \FresnelC \left(b x \right)}{6}-\frac{b^{5} x^{5} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 \pi}+\frac{-\frac{5 b^{3} x^{3} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 \pi}+\frac{5 \left(\frac{3 b x \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{3 \,\mathrm{S}\left(b x \right)}{\pi}\right)}{6 \pi}}{\pi}}{b^{6}}"," ",0,"1/b^6*(1/6*b^6*x^6*FresnelC(b*x)-1/6/Pi*b^5*x^5*sin(1/2*b^2*Pi*x^2)+5/6/Pi*(-1/Pi*b^3*x^3*cos(1/2*b^2*Pi*x^2)+3/Pi*(1/Pi*b*x*sin(1/2*b^2*Pi*x^2)-1/Pi*FresnelS(b*x))))","A"
113,1,81,70,0.005000," ","int(x^4*FresnelC(b*x),x)","\frac{\frac{b^{5} x^{5} \FresnelC \left(b x \right)}{5}-\frac{b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}+\frac{-\frac{4 b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}+\frac{8 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi^{2}}}{\pi}}{b^{5}}"," ",0,"1/b^5*(1/5*b^5*x^5*FresnelC(b*x)-1/5/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)+4/5/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2)))","A"
114,1,70,62,0.007000," ","int(x^3*FresnelC(b*x),x)","\frac{\frac{b^{4} x^{4} \FresnelC \left(b x \right)}{4}-\frac{b^{3} x^{3} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 \pi}+\frac{-\frac{3 b x \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 \pi}+\frac{3 \FresnelC \left(b x \right)}{4 \pi}}{\pi}}{b^{4}}"," ",0,"1/b^4*(1/4*b^4*x^4*FresnelC(b*x)-1/4/Pi*b^3*x^3*sin(1/2*b^2*Pi*x^2)+3/4/Pi*(-1/Pi*b*x*cos(1/2*b^2*Pi*x^2)+1/Pi*FresnelC(b*x)))","A"
115,1,54,49,0.006000," ","int(x^2*FresnelC(b*x),x)","\frac{\frac{b^{3} x^{3} \FresnelC \left(b x \right)}{3}-\frac{b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi}-\frac{2 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi^{2}}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelC(b*x)-1/3/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)-2/3/Pi^2*cos(1/2*b^2*Pi*x^2))","A"
116,1,44,41,0.006000," ","int(x*FresnelC(b*x),x)","\frac{\frac{b^{2} x^{2} \FresnelC \left(b x \right)}{2}-\frac{b x \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 \pi}+\frac{\mathrm{S}\left(b x \right)}{2 \pi}}{b^{2}}"," ",0,"1/b^2*(1/2*b^2*x^2*FresnelC(b*x)-1/2/Pi*b*x*sin(1/2*b^2*Pi*x^2)+1/2/Pi*FresnelS(b*x))","A"
117,1,28,25,0.006000," ","int(FresnelC(b*x),x)","\frac{b x \FresnelC \left(b x \right)-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*(b*x*FresnelC(b*x)-sin(1/2*b^2*Pi*x^2)/Pi)","A"
118,1,23,43,0.042000," ","int(FresnelC(b*x)/x,x)","b x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{4}\right], \left[\frac{1}{2}, \frac{5}{4}, \frac{5}{4}\right], -\frac{x^{4} \pi^{2} b^{4}}{16}\right)"," ",0,"b*x*hypergeom([1/4,1/4],[1/2,5/4,5/4],-1/16*x^4*Pi^2*b^4)","A"
119,1,28,23,0.007000," ","int(FresnelC(b*x)/x^2,x)","b \left(-\frac{\FresnelC \left(b x \right)}{b x}+\frac{\Ci \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2}\right)"," ",0,"b*(-FresnelC(b*x)/b/x+1/2*Ci(1/2*b^2*Pi*x^2))","A"
120,1,43,36,0.006000," ","int(FresnelC(b*x)/x^3,x)","b^{2} \left(-\frac{\FresnelC \left(b x \right)}{2 b^{2} x^{2}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b x}-\frac{\pi  \,\mathrm{S}\left(b x \right)}{2}\right)"," ",0,"b^2*(-1/2*FresnelC(b*x)/b^2/x^2-1/2/b/x*cos(1/2*b^2*Pi*x^2)-1/2*Pi*FresnelS(b*x))","A"
121,1,49,42,0.005000," ","int(FresnelC(b*x)/x^4,x)","b^{3} \left(-\frac{\FresnelC \left(b x \right)}{3 b^{3} x^{3}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 b^{2} x^{2}}-\frac{\pi  \Si \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{12}\right)"," ",0,"b^3*(-1/3*FresnelC(b*x)/b^3/x^3-1/6/b^2/x^2*cos(1/2*b^2*Pi*x^2)-1/12*Pi*Si(1/2*b^2*Pi*x^2))","A"
122,1,64,57,0.005000," ","int(FresnelC(b*x)/x^5,x)","b^{4} \left(-\frac{\FresnelC \left(b x \right)}{4 b^{4} x^{4}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{12 b^{3} x^{3}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}+\pi  \FresnelC \left(b x \right)\right)}{12}\right)"," ",0,"b^4*(-1/4*FresnelC(b*x)/b^4/x^4-1/12/b^3/x^3*cos(1/2*b^2*Pi*x^2)-1/12*Pi*(-sin(1/2*b^2*Pi*x^2)/b/x+Pi*FresnelC(b*x)))","A"
123,1,71,63,0.008000," ","int(FresnelC(b*x)/x^6,x)","b^{5} \left(-\frac{\FresnelC \left(b x \right)}{5 b^{5} x^{5}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{20 b^{4} x^{4}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}+\frac{\pi  \Ci \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{20}\right)"," ",0,"b^5*(-1/5*FresnelC(b*x)/b^5/x^5-1/20/b^4/x^4*cos(1/2*b^2*Pi*x^2)-1/20*Pi*(-1/2*sin(1/2*b^2*Pi*x^2)/b^2/x^2+1/4*Pi*Ci(1/2*b^2*Pi*x^2)))","A"
124,1,87,78,0.005000," ","int(FresnelC(b*x)/x^7,x)","b^{6} \left(-\frac{\FresnelC \left(b x \right)}{6 b^{6} x^{6}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{30 b^{5} x^{5}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 b^{3} x^{3}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}-\pi  \,\mathrm{S}\left(b x \right)\right)}{3}\right)}{30}\right)"," ",0,"b^6*(-1/6*FresnelC(b*x)/b^6/x^6-1/30/b^5/x^5*cos(1/2*b^2*Pi*x^2)-1/30*Pi*(-1/3*sin(1/2*b^2*Pi*x^2)/b^3/x^3+1/3*Pi*(-1/b/x*cos(1/2*b^2*Pi*x^2)-Pi*FresnelS(b*x))))","A"
125,1,93,84,0.005000," ","int(FresnelC(b*x)/x^8,x)","b^{7} \left(-\frac{\FresnelC \left(b x \right)}{7 b^{7} x^{7}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{42 b^{6} x^{6}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 b^{4} x^{4}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}-\frac{\pi  \Si \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{4}\right)}{42}\right)"," ",0,"b^7*(-1/7*FresnelC(b*x)/b^7/x^7-1/42/b^6/x^6*cos(1/2*b^2*Pi*x^2)-1/42*Pi*(-1/4*sin(1/2*b^2*Pi*x^2)/b^4/x^4+1/4*Pi*(-1/2/b^2/x^2*cos(1/2*b^2*Pi*x^2)-1/4*Pi*Si(1/2*b^2*Pi*x^2))))","A"
126,1,108,99,0.004000," ","int(FresnelC(b*x)/x^9,x)","b^{8} \left(-\frac{\FresnelC \left(b x \right)}{8 b^{8} x^{8}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{56 b^{7} x^{7}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 b^{5} x^{5}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 b^{3} x^{3}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b x}+\pi  \FresnelC \left(b x \right)\right)}{3}\right)}{5}\right)}{56}\right)"," ",0,"b^8*(-1/8*FresnelC(b*x)/b^8/x^8-1/56/b^7/x^7*cos(1/2*b^2*Pi*x^2)-1/56*Pi*(-1/5*sin(1/2*b^2*Pi*x^2)/b^5/x^5+1/5*Pi*(-1/3/b^3/x^3*cos(1/2*b^2*Pi*x^2)-1/3*Pi*(-sin(1/2*b^2*Pi*x^2)/b/x+Pi*FresnelC(b*x)))))","A"
127,1,115,105,0.006000," ","int(FresnelC(b*x)/x^10,x)","b^{9} \left(-\frac{\FresnelC \left(b x \right)}{9 b^{9} x^{9}}-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{72 b^{8} x^{8}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{6 b^{6} x^{6}}+\frac{\pi  \left(-\frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4 b^{4} x^{4}}-\frac{\pi  \left(-\frac{\sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{2 b^{2} x^{2}}+\frac{\pi  \Ci \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{4}\right)}{4}\right)}{6}\right)}{72}\right)"," ",0,"b^9*(-1/9*FresnelC(b*x)/b^9/x^9-1/72*cos(1/2*b^2*Pi*x^2)/b^8/x^8-1/72*Pi*(-1/6*sin(1/2*b^2*Pi*x^2)/b^6/x^6+1/6*Pi*(-1/4/b^4/x^4*cos(1/2*b^2*Pi*x^2)-1/4*Pi*(-1/2*sin(1/2*b^2*Pi*x^2)/b^2/x^2+1/4*Pi*Ci(1/2*b^2*Pi*x^2)))))","A"
128,1,397,272,0.024000," ","int((d*x+c)^3*FresnelC(b*x+a),x)","\frac{\frac{\FresnelC \left(b x +a \right) \left(\left(b x +a \right) d -a d +b c \right)^{4}}{4 b^{3} d}-\frac{\frac{d^{4} \left(b x +a \right)^{3} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{3 d^{4} \left(-\frac{\left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{\FresnelC \left(b x +a \right)}{\pi}\right)}{\pi}+\frac{\left(-4 a \,d^{4}+4 b c \,d^{3}\right) \left(b x +a \right)^{2} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 \left(-4 a \,d^{4}+4 b c \,d^{3}\right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}+\frac{\left(6 a^{2} d^{4}-12 a b c \,d^{3}+6 b^{2} c^{2} d^{2}\right) \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{\left(6 a^{2} d^{4}-12 a b c \,d^{3}+6 b^{2} c^{2} d^{2}\right) \mathrm{S}\left(b x +a \right)}{\pi}+\frac{\left(-4 a^{3} d^{4}+12 a^{2} b c \,d^{3}-12 a \,b^{2} c^{2} d^{2}+4 b^{3} c^{3} d \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+a^{4} d^{4} \FresnelC \left(b x +a \right)-4 a^{3} b c \,d^{3} \FresnelC \left(b x +a \right)+6 a^{2} b^{2} c^{2} d^{2} \FresnelC \left(b x +a \right)-4 a \,b^{3} c^{3} d \FresnelC \left(b x +a \right)+b^{4} c^{4} \FresnelC \left(b x +a \right)}{4 b^{3} d}}{b}"," ",0,"1/b*(1/4*FresnelC(b*x+a)*((b*x+a)*d-a*d+b*c)^4/b^3/d-1/4/b^3/d*(d^4/Pi*(b*x+a)^3*sin(1/2*Pi*(b*x+a)^2)-3*d^4/Pi*(-1/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+1/Pi*FresnelC(b*x+a))+(-4*a*d^4+4*b*c*d^3)/Pi*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)+2*(-4*a*d^4+4*b*c*d^3)/Pi^2*cos(1/2*Pi*(b*x+a)^2)+(6*a^2*d^4-12*a*b*c*d^3+6*b^2*c^2*d^2)/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-(6*a^2*d^4-12*a*b*c*d^3+6*b^2*c^2*d^2)/Pi*FresnelS(b*x+a)+(-4*a^3*d^4+12*a^2*b*c*d^3-12*a*b^2*c^2*d^2+4*b^3*c^3*d)/Pi*sin(1/2*Pi*(b*x+a)^2)+a^4*d^4*FresnelC(b*x+a)-4*a^3*b*c*d^3*FresnelC(b*x+a)+6*a^2*b^2*c^2*d^2*FresnelC(b*x+a)-4*a*b^3*c^3*d*FresnelC(b*x+a)+b^4*c^4*FresnelC(b*x+a)))","A"
129,1,249,178,0.021000," ","int((d*x+c)^2*FresnelC(b*x+a),x)","\frac{\frac{\FresnelC \left(b x +a \right) \left(\left(b x +a \right) d -a d +b c \right)^{3}}{3 b^{2} d}-\frac{\frac{d^{3} \left(b x +a \right)^{2} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 d^{3} \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}+\frac{\left(-3 a \,d^{3}+3 b c \,d^{2}\right) \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{\left(-3 a \,d^{3}+3 b c \,d^{2}\right) \mathrm{S}\left(b x +a \right)}{\pi}+\frac{\left(3 a^{2} d^{3}-6 a b c \,d^{2}+3 b^{2} c^{2} d \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-a^{3} d^{3} \FresnelC \left(b x +a \right)+3 a^{2} b c \,d^{2} \FresnelC \left(b x +a \right)-3 a \,b^{2} c^{2} d \FresnelC \left(b x +a \right)+b^{3} c^{3} \FresnelC \left(b x +a \right)}{3 b^{2} d}}{b}"," ",0,"1/b*(1/3*FresnelC(b*x+a)*((b*x+a)*d-a*d+b*c)^3/b^2/d-1/3/b^2/d*(d^3/Pi*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)+2*d^3/Pi^2*cos(1/2*Pi*(b*x+a)^2)+(-3*a*d^3+3*b*c*d^2)/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-(-3*a*d^3+3*b*c*d^2)/Pi*FresnelS(b*x+a)+(3*a^2*d^3-6*a*b*c*d^2+3*b^2*c^2*d)/Pi*sin(1/2*Pi*(b*x+a)^2)-a^3*d^3*FresnelC(b*x+a)+3*a^2*b*c*d^2*FresnelC(b*x+a)-3*a*b^2*c^2*d*FresnelC(b*x+a)+b^3*c^3*FresnelC(b*x+a)))","A"
130,1,107,110,0.021000," ","int((d*x+c)*FresnelC(b*x+a),x)","\frac{\frac{\FresnelC \left(b x +a \right) \left(\frac{\left(b x +a \right)^{2} d}{2}-a d \left(b x +a \right)+b c \left(b x +a \right)\right)}{b}-\frac{\frac{d \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{d \,\mathrm{S}\left(b x +a \right)}{\pi}+\frac{\left(-2 a d +2 b c \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{2 b}}{b}"," ",0,"1/b*(FresnelC(b*x+a)/b*(1/2*(b*x+a)^2*d-a*d*(b*x+a)+b*c*(b*x+a))-1/2/b*(d/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-d/Pi*FresnelS(b*x+a)+(-2*a*d+2*b*c)/Pi*sin(1/2*Pi*(b*x+a)^2)))","A"
131,1,34,35,0.004000," ","int(FresnelC(b*x+a),x)","\frac{\left(b x +a \right) \FresnelC \left(b x +a \right)-\frac{\sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelC(b*x+a)-sin(1/2*Pi*(b*x+a)^2)/Pi)","A"
132,0,0,16,0.089000," ","int(FresnelC(b*x+a)/(d*x+c),x)","\int \frac{\FresnelC \left(b x +a \right)}{d x +c}\, dx"," ",0,"int(FresnelC(b*x+a)/(d*x+c),x)","F"
133,0,0,16,0.092000," ","int(FresnelC(b*x+a)/(d*x+c)^2,x)","\int \frac{\FresnelC \left(b x +a \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(FresnelC(b*x+a)/(d*x+c)^2,x)","F"
134,1,187,201,0.020000," ","int(x^3*FresnelC(b*x+a),x)","\frac{\frac{\FresnelC \left(b x +a \right) b^{4} x^{4}}{4}-\frac{\left(b x +a \right)^{3} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{4 \pi}+\frac{-\frac{3 \left(b x +a \right) \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{4 \pi}+\frac{3 \FresnelC \left(b x +a \right)}{4 \pi}}{\pi}+\frac{a \left(b x +a \right)^{2} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{2 a \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi^{2}}-\frac{3 a^{2} \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{2 \pi}+\frac{3 a^{2} \mathrm{S}\left(b x +a \right)}{2 \pi}+\frac{a^{3} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{a^{4} \FresnelC \left(b x +a \right)}{4}}{b^{4}}"," ",0,"1/b^4*(1/4*FresnelC(b*x+a)*b^4*x^4-1/4/Pi*(b*x+a)^3*sin(1/2*Pi*(b*x+a)^2)+3/4/Pi*(-1/Pi*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)+1/Pi*FresnelC(b*x+a))+a/Pi*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)+2*a/Pi^2*cos(1/2*Pi*(b*x+a)^2)-3/2*a^2/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)+3/2*a^2/Pi*FresnelS(b*x+a)+a^3/Pi*sin(1/2*Pi*(b*x+a)^2)-1/4*a^4*FresnelC(b*x+a))","A"
135,1,122,132,0.020000," ","int(x^2*FresnelC(b*x+a),x)","\frac{\frac{b^{3} x^{3} \FresnelC \left(b x +a \right)}{3}-\frac{\left(b x +a \right)^{2} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{3 \pi}-\frac{2 \cos \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{3 \pi^{2}}+\frac{a \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}-\frac{a \,\mathrm{S}\left(b x +a \right)}{\pi}-\frac{a^{2} \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{a^{3} \FresnelC \left(b x +a \right)}{3}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelC(b*x+a)-1/3/Pi*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)-2/3/Pi^2*cos(1/2*Pi*(b*x+a)^2)+a/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)-a/Pi*FresnelS(b*x+a)-a^2/Pi*sin(1/2*Pi*(b*x+a)^2)+1/3*a^3*FresnelC(b*x+a))","A"
136,1,79,83,0.020000," ","int(x*FresnelC(b*x+a),x)","\frac{\FresnelC \left(b x +a \right) \left(\frac{\left(b x +a \right)^{2}}{2}-a \left(b x +a \right)\right)-\frac{\left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{2 \pi}+\frac{\mathrm{S}\left(b x +a \right)}{2 \pi}+\frac{a \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b^{2}}"," ",0,"1/b^2*(FresnelC(b*x+a)*(1/2*(b*x+a)^2-a*(b*x+a))-1/2/Pi*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)+1/2/Pi*FresnelS(b*x+a)+a/Pi*sin(1/2*Pi*(b*x+a)^2))","A"
137,1,34,35,0.000000," ","int(FresnelC(b*x+a),x)","\frac{\left(b x +a \right) \FresnelC \left(b x +a \right)-\frac{\sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelC(b*x+a)-sin(1/2*Pi*(b*x+a)^2)/Pi)","A"
138,0,0,12,0.030000," ","int(FresnelC(b*x+a)/x,x)","\int \frac{\FresnelC \left(b x +a \right)}{x}\, dx"," ",0,"int(FresnelC(b*x+a)/x,x)","F"
139,0,0,12,0.060000," ","int(FresnelC(b*x+a)/x^2,x)","\int \frac{\FresnelC \left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(FresnelC(b*x+a)/x^2,x)","F"
140,0,0,223,0.023000," ","int(x^7*FresnelC(b*x)^2,x)","\int x^{7} \FresnelC \left(b x \right)^{2}\, dx"," ",0,"int(x^7*FresnelC(b*x)^2,x)","F"
141,1,324,205,0.062000," ","int(x^6*FresnelC(b*x)^2,x)","\frac{\frac{b^{7} x^{7} \FresnelC \left(b x \right)^{2}}{7}-2 \FresnelC \left(b x \right) \left(\frac{b^{6} x^{6} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{7 \pi}-\frac{6 \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}}{\pi}\right)}{7 \pi}\right)+\frac{\frac{6}{35} \pi^{2} b^{5} x^{5}-\frac{48}{7} b x}{\pi^{4}}+\frac{\frac{3 \pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{7}-\frac{9 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{7}-\frac{24 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{7}}{\pi^{4}}+\frac{-\frac{\pi  \,b^{5} x^{5} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{5 \pi  \left(\frac{b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{3 \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2 \pi}\right)}{2}+\frac{12 b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}-\frac{6 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{\pi}}{7 \pi^{3}}}{b^{7}}"," ",0,"1/b^7*(1/7*b^7*x^7*FresnelC(b*x)^2-2*FresnelC(b*x)*(1/7/Pi*b^6*x^6*sin(1/2*b^2*Pi*x^2)-6/7/Pi*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))))+6/7/Pi^4*(1/5*Pi^2*b^5*x^5-8*b*x)+6/7/Pi^4*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))+1/7/Pi^3*(-1/2*Pi*b^5*x^5*cos(b^2*Pi*x^2)+5/2*Pi*(1/2/Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))+12/Pi*b*x*cos(b^2*Pi*x^2)-6/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))","A"
142,0,0,227,0.010000," ","int(x^5*FresnelC(b*x)^2,x)","\int x^{5} \FresnelC \left(b x \right)^{2}\, dx"," ",0,"int(x^5*FresnelC(b*x)^2,x)","F"
143,1,209,151,0.054000," ","int(x^4*FresnelC(b*x)^2,x)","\frac{\frac{b^{5} x^{5} \FresnelC \left(b x \right)^{2}}{5}-2 \FresnelC \left(b x \right) \left(\frac{b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{5 \pi}-\frac{4 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{5 \pi}\right)+\frac{4 b^{3} x^{3}}{15 \pi^{2}}+\frac{\frac{2 b x \sin \left(b^{2} \pi  \,x^{2}\right)}{5 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{5 \pi}}{\pi^{2}}+\frac{-\frac{\pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{3 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{5 \pi^{3}}}{b^{5}}"," ",0,"1/b^5*(1/5*b^5*x^5*FresnelC(b*x)^2-2*FresnelC(b*x)*(1/5/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/5/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2)))+4/15/Pi^2*b^3*x^3+4/5/Pi^2*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))+1/5/Pi^3*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2))))","A"
144,0,0,122,0.012000," ","int(x^3*FresnelC(b*x)^2,x)","\int x^{3} \FresnelC \left(b x \right)^{2}\, dx"," ",0,"int(x^3*FresnelC(b*x)^2,x)","F"
145,1,122,104,0.052000," ","int(x^2*FresnelC(b*x)^2,x)","\frac{\frac{b^{3} x^{3} \FresnelC \left(b x \right)^{2}}{3}-2 \FresnelC \left(b x \right) \left(\frac{b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi}+\frac{2 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{3 \pi^{2}}\right)+\frac{2 b x}{3 \pi^{2}}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{3 \pi^{2}}+\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}}{3 \pi}}{b^{3}}"," ",0,"1/b^3*(1/3*b^3*x^3*FresnelC(b*x)^2-2*FresnelC(b*x)*(1/3/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/3/Pi^2*cos(1/2*b^2*Pi*x^2))+2/3/Pi^2*b*x+1/3/Pi^2*2^(1/2)*FresnelC(b*x*2^(1/2))+1/3/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))","A"
146,0,0,120,0.012000," ","int(x*FresnelC(b*x)^2,x)","\int x \FresnelC \left(b x \right)^{2}\, dx"," ",0,"int(x*FresnelC(b*x)^2,x)","F"
147,1,49,49,0.004000," ","int(FresnelC(b*x)^2,x)","\frac{b x \FresnelC \left(b x \right)^{2}-\frac{2 \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi}}{b}"," ",0,"1/b*(b*x*FresnelC(b*x)^2-2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/Pi+1/2/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))","A"
148,0,0,12,0.010000," ","int(FresnelC(b*x)^2/x,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x}\, dx"," ",0,"int(FresnelC(b*x)^2/x,x)","F"
149,0,0,35,0.012000," ","int(FresnelC(b*x)^2/x^2,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{2}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^2,x)","F"
150,0,0,34,0.010000," ","int(FresnelC(b*x)^2/x^3,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{3}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^3,x)","F"
151,0,0,99,0.012000," ","int(FresnelC(b*x)^2/x^4,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{4}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^4,x)","F"
152,0,0,109,0.013000," ","int(FresnelC(b*x)^2/x^5,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{5}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^5,x)","F"
153,0,0,144,0.010000," ","int(FresnelC(b*x)^2/x^6,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{6}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^6,x)","F"
154,0,0,143,0.012000," ","int(FresnelC(b*x)^2/x^7,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{7}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^7,x)","F"
155,0,0,200,0.012000," ","int(FresnelC(b*x)^2/x^8,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{8}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^8,x)","F"
156,0,0,210,0.010000," ","int(FresnelC(b*x)^2/x^9,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{9}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^9,x)","F"
157,0,0,245,0.012000," ","int(FresnelC(b*x)^2/x^10,x)","\int \frac{\FresnelC \left(b x \right)^{2}}{x^{10}}\, dx"," ",0,"int(FresnelC(b*x)^2/x^10,x)","F"
158,0,0,450,0.089000," ","int((d*x+c)^2*FresnelC(b*x+a)^2,x)","\int \left(d x +c \right)^{2} \FresnelC \left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)^2*FresnelC(b*x+a)^2,x)","F"
159,0,0,250,0.010000," ","int((d*x+c)*FresnelC(b*x+a)^2,x)","\int \left(d x +c \right) \FresnelC \left(b x +a \right)^{2}\, dx"," ",0,"int((d*x+c)*FresnelC(b*x+a)^2,x)","F"
160,1,60,64,0.002000," ","int(FresnelC(b*x+a)^2,x)","\frac{\left(b x +a \right) \FresnelC \left(b x +a \right)^{2}-\frac{2 \FresnelC \left(b x +a \right) \sin \left(\frac{\pi  \left(b x +a \right)^{2}}{2}\right)}{\pi}+\frac{\sqrt{2}\, \mathrm{S}\left(\left(b x +a \right) \sqrt{2}\right)}{2 \pi}}{b}"," ",0,"1/b*((b*x+a)*FresnelC(b*x+a)^2-2*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/Pi+1/2/Pi*2^(1/2)*FresnelS((b*x+a)*2^(1/2)))","A"
161,0,0,18,0.095000," ","int(FresnelC(b*x+a)^2/(d*x+c),x)","\int \frac{\FresnelC \left(b x +a \right)^{2}}{d x +c}\, dx"," ",0,"int(FresnelC(b*x+a)^2/(d*x+c),x)","F"
162,0,0,18,0.094000," ","int(FresnelC(b*x+a)^2/(d*x+c)^2,x)","\int \frac{\FresnelC \left(b x +a \right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(FresnelC(b*x+a)^2/(d*x+c)^2,x)","F"
163,0,0,201,0.138000," ","int(x^2*FresnelC(d*(a+b*ln(c*x^n))),x)","\int x^{2} \FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*FresnelC(d*(a+b*ln(c*x^n))),x)","F"
164,0,0,203,0.132000," ","int(x*FresnelC(d*(a+b*ln(c*x^n))),x)","\int x \FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*FresnelC(d*(a+b*ln(c*x^n))),x)","F"
165,0,0,186,0.125000," ","int(FresnelC(d*(a+b*ln(c*x^n))),x)","\int \FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(FresnelC(d*(a+b*ln(c*x^n))),x)","F"
166,1,81,64,0.017000," ","int(FresnelC(d*(a+b*ln(c*x^n)))/x,x)","\frac{\ln \left(c \,x^{n}\right) \FresnelC \left(a d +b d \ln \left(c \,x^{n}\right)\right)}{n}+\frac{\FresnelC \left(a d +b d \ln \left(c \,x^{n}\right)\right) a}{n b}-\frac{\sin \left(\frac{\pi  \left(a d +b d \ln \left(c \,x^{n}\right)\right)^{2}}{2}\right)}{n b d \pi}"," ",0,"1/n*ln(c*x^n)*FresnelC(a*d+b*d*ln(c*x^n))+1/n/b*FresnelC(a*d+b*d*ln(c*x^n))*a-1/n/b/d*sin(1/2*Pi*(a*d+b*d*ln(c*x^n))^2)/Pi","A"
167,0,0,185,0.148000," ","int(FresnelC(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(FresnelC(d*(a+b*ln(c*x^n)))/x^2,x)","F"
168,0,0,200,0.135000," ","int(FresnelC(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(FresnelC(d*(a+b*ln(c*x^n)))/x^3,x)","F"
169,0,0,250,0.062000," ","int((e*x)^m*FresnelC(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \FresnelC \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*FresnelC(d*(a+b*ln(c*x^n))),x)","F"
170,0,0,46,0.030000," ","int(exp(c+1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x)","\int {\mathrm e}^{c +\frac{i b^{2} \pi  \,x^{2}}{2}} \FresnelC \left(b x \right)\, dx"," ",0,"int(exp(c+1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
171,0,0,46,0.018000," ","int(exp(c-1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x)","\int {\mathrm e}^{c -\frac{i b^{2} \pi  \,x^{2}}{2}} \FresnelC \left(b x \right)\, dx"," ",0,"int(exp(c-1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
172,0,0,81,0.033000," ","int(FresnelC(b*x)*sin(c+1/2*b^2*Pi*x^2),x)","\int \FresnelC \left(b x \right) \sin \left(c +\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(FresnelC(b*x)*sin(c+1/2*b^2*Pi*x^2),x)","F"
173,0,0,81,0.036000," ","int(cos(c+1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\int \cos \left(c +\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)\, dx"," ",0,"int(cos(c+1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
174,1,12,11,0.017000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)^2,x)","\frac{\FresnelC \left(b x \right)^{3}}{3 b}"," ",0,"1/3*FresnelC(b*x)^3/b","A"
175,1,12,11,0.018000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\FresnelC \left(b x \right)^{2}}{2 b}"," ",0,"1/2*FresnelC(b*x)^2/b","A"
176,1,10,9,0.085000," ","int(cos(1/2*b^2*Pi*x^2)/FresnelC(b*x),x)","\frac{\ln \left(\FresnelC \left(b x \right)\right)}{b}"," ",0,"ln(FresnelC(b*x))/b","A"
177,1,12,11,0.017000," ","int(cos(1/2*b^2*Pi*x^2)/FresnelC(b*x)^2,x)","-\frac{1}{b \FresnelC \left(b x \right)}"," ",0,"-1/b/FresnelC(b*x)","A"
178,1,12,11,0.018000," ","int(cos(1/2*b^2*Pi*x^2)/FresnelC(b*x)^3,x)","-\frac{1}{2 b \FresnelC \left(b x \right)^{2}}"," ",0,"-1/2/b/FresnelC(b*x)^2","A"
179,1,18,17,0.017000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)^n,x)","\frac{\FresnelC \left(b x \right)^{1+n}}{b \left(1+n \right)}"," ",0,"FresnelC(b*x)^(1+n)/b/(1+n)","A"
180,0,0,211,0.028000," ","int(x^8*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\int x^{8} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)\, dx"," ",0,"int(x^8*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
181,1,317,193,0.018000," ","int(x^7*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\frac{\FresnelC \left(b x \right) \left(\frac{b^{6} x^{6} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{6 \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}}{\pi}\right)}{\pi}\right)}{b^{7}}-\frac{\frac{\frac{3}{5} \pi^{2} b^{5} x^{5}-24 b x}{\pi^{4}}+\frac{\frac{3 \pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{9 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-12 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{\pi^{4}}+\frac{-\frac{\pi  \,b^{5} x^{5} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{5 \pi  \left(\frac{b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{3 \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2 \pi}\right)}{2}+\frac{12 b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}-\frac{6 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{\pi}}{2 \pi^{3}}}{b^{7}}}{b}"," ",0,"(FresnelC(b*x)/b^7*(1/Pi*b^6*x^6*sin(1/2*b^2*Pi*x^2)-6/Pi*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))))-1/b^7*(3/Pi^4*(1/5*Pi^2*b^5*x^5-8*b*x)+3/Pi^4*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))+1/2/Pi^3*(-1/2*Pi*b^5*x^5*cos(b^2*Pi*x^2)+5/2*Pi*(1/2/Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2))))+12/Pi*b*x*cos(b^2*Pi*x^2)-6/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
182,0,0,215,0.025000," ","int(x^6*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\int x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)\, dx"," ",0,"int(x^6*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
183,1,202,139,0.024000," ","int(x^5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\frac{\FresnelC \left(b x \right) \left(\frac{b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{4 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{\pi}\right)}{b^{5}}-\frac{\frac{2 b^{3} x^{3}}{3 \pi^{2}}+\frac{\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{\pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi}}{\pi^{2}}+\frac{-\frac{\pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{3 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi^{3}}}{b^{5}}}{b}"," ",0,"(FresnelC(b*x)/b^5*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2)))-1/b^5*(2/3/Pi^2*b^3*x^3+2/Pi^2*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))+1/2/Pi^3*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
184,0,0,110,0.026000," ","int(x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\int x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)\, dx"," ",0,"int(x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
185,1,114,92,0.018000," ","int(x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\frac{\FresnelC \left(b x \right) \left(\frac{b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{b^{3}}-\frac{\frac{b x}{\pi^{2}}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi^{2}}+\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}}{2 \pi}}{b^{3}}}{b}"," ",0,"(FresnelC(b*x)/b^3*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2))-1/b^3*(1/Pi^2*b*x+1/2/Pi^2*2^(1/2)*FresnelC(b*x*2^(1/2))+1/2/Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
186,0,0,114,0.027000," ","int(x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\int x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)\, dx"," ",0,"int(x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","F"
187,1,45,40,0.017000," ","int(x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi  b}-\frac{\mathrm{S}\left(b x \sqrt{2}\right) \sqrt{2}}{4 b \pi}}{b}"," ",0,"(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/Pi/b-1/4*FresnelS(b*x*2^(1/2))/b/Pi*2^(1/2))/b","A"
188,1,12,11,0.000000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x)","\frac{\FresnelC \left(b x \right)^{2}}{2 b}"," ",0,"1/2*FresnelC(b*x)^2/b","A"
189,0,0,20,0.026000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x)","F"
190,0,0,20,0.026000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{2}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x)","F"
191,0,0,83,0.025000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{3}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3,x)","F"
192,0,0,93,0.025000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{4}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4,x)","F"
193,0,0,128,0.026000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{5}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5,x)","F"
194,0,0,127,0.023000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{6}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6,x)","F"
195,0,0,184,0.027000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{7}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7,x)","F"
196,0,0,194,0.029000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^8,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{8}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^8,x)","F"
197,0,0,229,0.028000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^9,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{9}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^9,x)","F"
198,0,0,228,0.026000," ","int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^10,x)","\int \frac{\cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right) \FresnelC \left(b x \right)}{x^{10}}\, dx"," ",0,"int(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^10,x)","F"
199,0,0,19,0.026000," ","int(FresnelC(b*x)^n*sin(1/2*b^2*Pi*x^2),x)","\int \FresnelC \left(b x \right)^{n} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(FresnelC(b*x)^n*sin(1/2*b^2*Pi*x^2),x)","F"
200,0,0,272,0.017000," ","int(x^8*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{8} \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^8*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
201,1,322,196,0.063000," ","int(x^7*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\FresnelC \left(b x \right) \left(-\frac{b^{6} x^{6} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{6 b^{4} x^{4} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}-\frac{24 \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{\pi}}{\pi}\right)}{b^{7}}-\frac{-\frac{\frac{1}{7} \pi^{2} b^{7} x^{7}-8 b^{3} x^{3}}{2 \pi^{3}}+\frac{-\frac{3 \pi  \,b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2}+\frac{9 \pi  \left(\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-12 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{\pi^{4}}-\frac{\frac{\pi  \,b^{5} x^{5} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{5 \pi  \left(-\frac{b^{3} x^{3} \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\frac{3 b x \sin \left(b^{2} \pi  \,x^{2}\right)}{4 \pi}-\frac{3 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{8 \pi}}{\pi}\right)}{2}-\frac{12 b x \sin \left(b^{2} \pi  \,x^{2}\right)}{\pi}+\frac{6 \sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{\pi}}{2 \pi^{3}}}{b^{7}}}{b}"," ",0,"(FresnelC(b*x)/b^7*(-1/Pi*b^6*x^6*cos(1/2*b^2*Pi*x^2)+6/Pi*(1/Pi*b^4*x^4*sin(1/2*b^2*Pi*x^2)-4/Pi*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))))-1/b^7*(-1/2/Pi^3*(1/7*Pi^2*b^7*x^7-8*b^3*x^3)+3/Pi^4*(-1/2*Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2*Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))-4*2^(1/2)*FresnelS(b*x*2^(1/2)))-1/2/Pi^3*(1/2*Pi*b^5*x^5*sin(b^2*Pi*x^2)-5/2*Pi*(-1/2/Pi*b^3*x^3*cos(b^2*Pi*x^2)+3/2/Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2))))-12/Pi*b*x*sin(b^2*Pi*x^2)+6/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
202,0,0,167,0.015000," ","int(x^6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{6} \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
203,1,212,149,0.054000," ","int(x^5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\FresnelC \left(b x \right) \left(-\frac{b^{4} x^{4} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{\frac{4 b^{2} x^{2} \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{8 \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}}{\pi}\right)}{b^{5}}-\frac{-\frac{\frac{1}{5} \pi^{2} b^{5} x^{5}-8 b x}{2 \pi^{3}}+\frac{-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{\pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi}}{\pi^{2}}-\frac{\frac{\pi  \,b^{3} x^{3} \sin \left(b^{2} \pi  \,x^{2}\right)}{2}-\frac{3 \pi  \left(-\frac{b x \cos \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4 \pi}\right)}{2}-4 \sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{2 \pi^{3}}}{b^{5}}}{b}"," ",0,"(FresnelC(b*x)/b^5*(-1/Pi*b^4*x^4*cos(1/2*b^2*Pi*x^2)+4/Pi*(1/Pi*b^2*x^2*sin(1/2*b^2*Pi*x^2)+2/Pi^2*cos(1/2*b^2*Pi*x^2)))-1/b^5*(-1/2/Pi^3*(1/5*Pi^2*b^5*x^5-8*b*x)+2/Pi^2*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-1/2/Pi^3*(1/2*Pi*b^3*x^3*sin(b^2*Pi*x^2)-3/2*Pi*(-1/2/Pi*b*x*cos(b^2*Pi*x^2)+1/4/Pi*2^(1/2)*FresnelC(b*x*2^(1/2)))-4*2^(1/2)*FresnelC(b*x*2^(1/2)))))/b","A"
204,0,0,170,0.020000," ","int(x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{4} \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
205,1,120,95,0.049000," ","int(x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{\frac{\FresnelC \left(b x \right) \left(-\frac{b^{2} x^{2} \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi}+\frac{2 \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{\pi^{2}}\right)}{b^{3}}-\frac{\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{2 \pi^{2}}-\frac{b^{3} x^{3}}{6 \pi}-\frac{\frac{b x \sin \left(b^{2} \pi  \,x^{2}\right)}{2 \pi}-\frac{\sqrt{2}\, \mathrm{S}\left(b x \sqrt{2}\right)}{4 \pi}}{2 \pi}}{b^{3}}}{b}"," ",0,"(FresnelC(b*x)/b^3*(-1/Pi*b^2*x^2*cos(1/2*b^2*Pi*x^2)+2/Pi^2*sin(1/2*b^2*Pi*x^2))-1/b^3*(1/2/Pi^2*2^(1/2)*FresnelS(b*x*2^(1/2))-1/6/Pi*b^3*x^3-1/2/Pi*(1/2/Pi*b*x*sin(b^2*Pi*x^2)-1/4/Pi*2^(1/2)*FresnelS(b*x*2^(1/2)))))/b","A"
206,0,0,66,0.017000," ","int(x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int x^{2} \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
207,1,52,50,0.023000," ","int(x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\frac{-\frac{\FresnelC \left(b x \right) \cos \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{b \pi}+\frac{\frac{b x}{2}+\frac{\sqrt{2}\, \FresnelC \left(b x \sqrt{2}\right)}{4}}{b \pi}}{b}"," ",0,"(-FresnelC(b*x)/b/Pi*cos(1/2*b^2*Pi*x^2)+1/b/Pi*(1/2*b*x+1/4*2^(1/2)*FresnelC(b*x*2^(1/2))))/b","A"
208,0,0,62,0.013000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","\int \FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x)","F"
209,0,0,20,0.014000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x)","F"
210,0,0,42,0.017000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{2}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x)","F"
211,0,0,77,0.018000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{3}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x)","F"
212,0,0,76,0.019000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{4}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x)","F"
213,0,0,131,0.023000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{5}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x)","F"
214,0,0,141,0.017000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{6}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x)","F"
215,0,0,176,0.016000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{7}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x)","F"
216,0,0,175,0.014000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{8}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x)","F"
217,0,0,232,0.016000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{9}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x)","F"
218,0,0,242,0.017000," ","int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x)","\int \frac{\FresnelC \left(b x \right) \sin \left(\frac{b^{2} \pi  \,x^{2}}{2}\right)}{x^{10}}\, dx"," ",0,"int(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x)","F"