lst:=[[x^7*FresnelS(b*x),x,6,-35/8*x^3*cos(1/2*b^2*Pi*x^2)/b^5/Pi^3+1/8*x^7*cos(1/2*b^2*Pi*x^2)/b/Pi-105/8*FresnelS(b*x)/b^8/Pi^4+1/8*x^8*FresnelS(b*x)+105/8*x*sin(1/2*b^2*Pi*x^2)/b^7/Pi^4-7/8*x^5*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x^6*FresnelS(b*x),x,6,-24/7*x^2*cos(1/2*b^2*Pi*x^2)/b^5/Pi^3+1/7*x^6*cos(1/2*b^2*Pi*x^2)/b/Pi+1/7*x^7*FresnelS(b*x)+48/7*sin(1/2*b^2*Pi*x^2)/b^7/Pi^4-6/7*x^4*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x^5*FresnelS(b*x),x,5,-5/2*x*cos(1/2*b^2*Pi*x^2)/b^5/Pi^3+1/6*x^5*cos(1/2*b^2*Pi*x^2)/b/Pi+5/2*FresnelC(b*x)/b^6/Pi^3+1/6*x^6*FresnelS(b*x)-5/6*x^3*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x^4*FresnelS(b*x),x,5,-8/5*cos(1/2*b^2*Pi*x^2)/b^5/Pi^3+1/5*x^4*cos(1/2*b^2*Pi*x^2)/b/Pi+1/5*x^5*FresnelS(b*x)-4/5*x^2*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x^3*FresnelS(b*x),x,4,1/4*x^3*cos(1/2*b^2*Pi*x^2)/b/Pi+3/4*FresnelS(b*x)/b^4/Pi^2+1/4*x^4*FresnelS(b*x)-3/4*x*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x^2*FresnelS(b*x),x,4,1/3*x^2*cos(1/2*b^2*Pi*x^2)/b/Pi+1/3*x^3*FresnelS(b*x)-2/3*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x*FresnelS(b*x),x,3,1/2*x*cos(1/2*b^2*Pi*x^2)/b/Pi-1/2*FresnelC(b*x)/b^2/Pi+1/2*x^2*FresnelS(b*x),1],
[FresnelS(b*x),x,1,cos(1/2*b^2*Pi*x^2)/b/Pi+x*FresnelS(b*x),1],
[FresnelS(b*x)/x,x,3,1/2*I*b*x*hypergeom([1/2, 1/2],[3/2, 3/2],-1/2*I*b^2*Pi*x^2)-1/2*I*b*x*hypergeom([1/2, 1/2],[3/2, 3/2],1/2*I*b^2*Pi*x^2),1],
[FresnelS(b*x)/x^2,x,2,-FresnelS(b*x)/x+1/2*b*Si(1/2*b^2*Pi*x^2),1],
[FresnelS(b*x)/x^3,x,3,1/2*b^2*Pi*FresnelC(b*x)-1/2*FresnelS(b*x)/x^2-1/2*b*sin(1/2*b^2*Pi*x^2)/x,1],
[FresnelS(b*x)/x^4,x,4,1/12*b^3*Pi*Ci(1/2*b^2*Pi*x^2)-1/3*FresnelS(b*x)/x^3-1/6*b*sin(1/2*b^2*Pi*x^2)/x^2,1],
[FresnelS(b*x)/x^5,x,4,-1/12*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x-1/12*b^4*Pi^2*FresnelS(b*x)-1/4*FresnelS(b*x)/x^4-1/12*b*sin(1/2*b^2*Pi*x^2)/x^3,1],
[FresnelS(b*x)/x^6,x,5,-1/40*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x^2-1/5*FresnelS(b*x)/x^5-1/20*b*sin(1/2*b^2*Pi*x^2)/x^4-1/80*b^5*Pi^2*Si(1/2*b^2*Pi*x^2),1],
[FresnelS(b*x)/x^7,x,5,-1/90*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x^3-1/90*b^6*Pi^3*FresnelC(b*x)-1/6*FresnelS(b*x)/x^6-1/30*b*sin(1/2*b^2*Pi*x^2)/x^5+1/90*b^5*Pi^2*sin(1/2*b^2*Pi*x^2)/x,1],
[FresnelS(b*x)/x^8,x,6,-1/168*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x^4-1/672*b^7*Pi^3*Ci(1/2*b^2*Pi*x^2)-1/7*FresnelS(b*x)/x^7-1/42*b*sin(1/2*b^2*Pi*x^2)/x^6+1/336*b^5*Pi^2*sin(1/2*b^2*Pi*x^2)/x^2,1],
[FresnelS(b*x)/x^9,x,6,-1/280*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x^5+1/840*b^7*Pi^3*cos(1/2*b^2*Pi*x^2)/x+1/840*b^8*Pi^4*FresnelS(b*x)-1/8*FresnelS(b*x)/x^8-1/56*b*sin(1/2*b^2*Pi*x^2)/x^7+1/840*b^5*Pi^2*sin(1/2*b^2*Pi*x^2)/x^3,1],
[FresnelS(b*x)/x^10,x,7,-1/432*b^3*Pi*cos(1/2*b^2*Pi*x^2)/x^6+1/3456*b^7*Pi^3*cos(1/2*b^2*Pi*x^2)/x^2-1/9*FresnelS(b*x)/x^9-1/72*b*sin(1/2*b^2*Pi*x^2)/x^8+1/1728*b^5*Pi^2*sin(1/2*b^2*Pi*x^2)/x^4+1/6912*b^9*Pi^4*Si(1/2*b^2*Pi*x^2),1],
[(d*x+c)^3*FresnelS(b*x+a),x,14,(-a*d+b*c)^3*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi+3/2*d*(-a*d+b*c)^2*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi+d^2*(-a*d+b*c)*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi+1/4*d^3*(b*x+a)^3*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi-3/2*d*(-a*d+b*c)^2*FresnelC(b*x+a)/b^4/Pi-1/4*(-a*d+b*c)^4*FresnelS(b*x+a)/b^4/d+3/4*d^3*FresnelS(b*x+a)/b^4/Pi^2+1/4*(d*x+c)^4*FresnelS(b*x+a)/d-2*d^2*(-a*d+b*c)*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-3/4*d^3*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi^2,1],
[(d*x+c)^2*FresnelS(b*x+a),x,11,(-a*d+b*c)^2*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi+d*(-a*d+b*c)*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi+1/3*d^2*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi-d*(-a*d+b*c)*FresnelC(b*x+a)/b^3/Pi-1/3*(-a*d+b*c)^3*FresnelS(b*x+a)/b^3/d+1/3*(d*x+c)^3*FresnelS(b*x+a)/d-2/3*d^2*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi^2,1],
[(d*x+c)*FresnelS(b*x+a),x,8,(-a*d+b*c)*cos(1/2*Pi*(b*x+a)^2)/b^2/Pi+1/2*d*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^2/Pi-1/2*d*FresnelC(b*x+a)/b^2/Pi-1/2*(-a*d+b*c)^2*FresnelS(b*x+a)/b^2/d+1/2*(d*x+c)^2*FresnelS(b*x+a)/d,1],
[FresnelS(b*x+a),x,1,cos(1/2*Pi*(b*x+a)^2)/b/Pi+(b*x+a)*FresnelS(b*x+a)/b,1],
[FresnelS(b*x+a)/(d*x+c),x,0,Defer(Int)(FresnelS(b*x+a)/(d*x+c),x),0],
[FresnelS(b*x+a)/(d*x+c)^2,x,0,Defer(Int)(FresnelS(b*x+a)/(d*x+c)^2,x),0],
[x^3*FresnelS(b*x+a),x,14,-a^3*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi+3/2*a^2*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi-a*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi+1/4*(b*x+a)^3*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi-3/2*a^2*FresnelC(b*x+a)/b^4/Pi-1/4*a^4*FresnelS(b*x+a)/b^4+3/4*FresnelS(b*x+a)/b^4/Pi^2+1/4*x^4*FresnelS(b*x+a)+2*a*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-3/4*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi^2,1],
[x^2*FresnelS(b*x+a),x,11,a^2*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi-a*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi+1/3*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi+a*FresnelC(b*x+a)/b^3/Pi+1/3*a^3*FresnelS(b*x+a)/b^3+1/3*x^3*FresnelS(b*x+a)-2/3*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi^2,1],
[x*FresnelS(b*x+a),x,8,-a*cos(1/2*Pi*(b*x+a)^2)/b^2/Pi+1/2*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^2/Pi-1/2*FresnelC(b*x+a)/b^2/Pi-1/2*a^2*FresnelS(b*x+a)/b^2+1/2*x^2*FresnelS(b*x+a),1],
[FresnelS(b*x+a),x,1,cos(1/2*Pi*(b*x+a)^2)/b/Pi+(b*x+a)*FresnelS(b*x+a)/b,1],
[FresnelS(b*x+a)/x,x,0,Defer(Int)(FresnelS(b*x+a)/x,x),0],
[FresnelS(b*x+a)/x^2,x,0,Defer(Int)(FresnelS(b*x+a)/x^2,x),0],
[x^7*FresnelS(b*x)^2,x,23,-105/16*x^2/b^6/Pi^4+7/48*x^6/b^2/Pi^2-55/16*x^2*cos(b^2*Pi*x^2)/b^6/Pi^4+1/16*x^6*cos(b^2*Pi*x^2)/b^2/Pi^2-35/4*x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^5/Pi^3+1/4*x^7*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi-105/8*FresnelS(b*x)^2/b^8/Pi^4+1/8*x^8*FresnelS(b*x)^2+105/4*x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^7/Pi^4-7/4*x^5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2+10*sin(b^2*Pi*x^2)/b^8/Pi^5-5/8*x^4*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^6*FresnelS(b*x)^2,x,19,-48/7*x/b^6/Pi^4+6/35*x^5/b^2/Pi^2-21/8*x*cos(b^2*Pi*x^2)/b^6/Pi^4+1/14*x^5*cos(b^2*Pi*x^2)/b^2/Pi^2+531/56*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^7/Pi^4-48/7*x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^5/Pi^3+2/7*x^6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+1/7*x^7*FresnelS(b*x)^2+96/7*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^7/Pi^4-12/7*x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2-17/28*x^3*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^5*FresnelS(b*x)^2,x,16,5/24*x^4/b^2/Pi^2-11/6*cos(b^2*Pi*x^2)/b^6/Pi^4+1/12*x^4*cos(b^2*Pi*x^2)/b^2/Pi^2-5*x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^5/Pi^3+1/3*x^5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+5/2*FresnelC(b*x)*FresnelS(b*x)/b^6/Pi^3+1/6*x^6*FresnelS(b*x)^2-5/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^4/Pi^3+5/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^4/Pi^3-5/3*x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2-7/12*x^2*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^4*FresnelS(b*x)^2,x,12,4/15*x^3/b^2/Pi^2+1/10*x^3*cos(b^2*Pi*x^2)/b^2/Pi^2-16/5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^5/Pi^3+2/5*x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+1/5*x^5*FresnelS(b*x)^2+43/20*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^5/Pi^3-8/5*x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2-11/20*x*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^3*FresnelS(b*x)^2,x,10,3/8*x^2/b^2/Pi^2+1/8*x^2*cos(b^2*Pi*x^2)/b^2/Pi^2+1/2*x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+3/4*FresnelS(b*x)^2/b^4/Pi^2+1/4*x^4*FresnelS(b*x)^2-3/2*x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2-1/2*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^2*FresnelS(b*x)^2,x,8,2/3*x/b^2/Pi^2+1/6*x*cos(b^2*Pi*x^2)/b^2/Pi^2-5/6*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^3/Pi^2+2/3*x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+1/3*x^3*FresnelS(b*x)^2-4/3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^3/Pi^2,1],
[x*FresnelS(b*x)^2,x,5,1/4*cos(b^2*Pi*x^2)/b^2/Pi^2+x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi-1/2*FresnelC(b*x)*FresnelS(b*x)/b^2/Pi+1/2*x^2*FresnelS(b*x)^2+1/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/Pi-1/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/Pi,1],
[FresnelS(b*x)^2,x,4,2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b/Pi+x*FresnelS(b*x)^2-FresnelS(sqrt(2)*b*x)/sqrt(2)/b/Pi,1],
[FresnelS(b*x)^2/x,x,0,Defer(Int)(FresnelS(b*x)^2/x,x),0],
[FresnelS(b*x)^2/x^2,x,1,-FresnelS(b*x)^2/x+2*b*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelS(b*x)^2/x^3,x,1,-1/2*FresnelS(b*x)^2/x^2+b*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[FresnelS(b*x)^2/x^4,x,4,-1/6*b^2/x+1/6*b^2*cos(b^2*Pi*x^2)/x-1/3*FresnelS(b*x)^2/x^3+1/3*b^3*Pi*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/3*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+1/3*b^3*Pi*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[FresnelS(b*x)^2/x^5,x,9,-1/24*b^2/x^2+1/24*b^2*cos(b^2*Pi*x^2)/x^2-1/6*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x-1/12*b^4*Pi^2*FresnelS(b*x)^2-1/4*FresnelS(b*x)^2/x^4-1/6*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3+1/12*b^4*Pi*Si(b^2*Pi*x^2),1],
[FresnelS(b*x)^2/x^6,x,8,-1/60*b^2/x^3+1/60*b^2*cos(b^2*Pi*x^2)/x^3+7/60*b^5*Pi^2*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/20*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2-1/5*FresnelS(b*x)^2/x^5-1/10*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-7/120*b^4*Pi*sin(b^2*Pi*x^2)/x-1/20*b^5*Pi^2*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelS(b*x)^2/x^7,x,10,-1/120*b^2/x^4+1/120*b^2*cos(b^2*Pi*x^2)/x^4+1/72*b^6*Pi^2*Ci(b^2*Pi*x^2)-1/45*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3-1/6*FresnelS(b*x)^2/x^6-1/15*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/72*b^4*Pi*sin(b^2*Pi*x^2)/x^2-1/45*b^5*Pi^2*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[FresnelS(b*x)^2/x^8,x,13,-1/210*b^2/x^5+1/336*b^6*Pi^2/x+1/210*b^2*cos(b^2*Pi*x^2)/x^5-67/5040*b^6*Pi^2*cos(b^2*Pi*x^2)/x-1/84*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4-1/7*FresnelS(b*x)^2/x^7-1/72*b^7*Pi^3*FresnelS(sqrt(2)*b*x)/sqrt(2)-2/315*sqrt(2)*b^7*Pi^3*FresnelS(sqrt(2)*b*x)-1/21*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6+1/168*b^5*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-13/2520*b^4*Pi*sin(b^2*Pi*x^2)/x^3-1/168*b^7*Pi^3*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[FresnelS(b*x)^2/x^9,x,20,-1/336*b^2/x^6+1/1680*b^6*Pi^2/x^2+1/336*b^2*cos(b^2*Pi*x^2)/x^6-1/336*b^6*Pi^2*cos(b^2*Pi*x^2)/x^2-1/140*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5+1/420*b^7*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x+1/840*b^8*Pi^4*FresnelS(b*x)^2-1/8*FresnelS(b*x)^2/x^8-1/28*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7+1/420*b^5*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/420*b^4*Pi*sin(b^2*Pi*x^2)/x^4-1/280*b^8*Pi^3*Si(b^2*Pi*x^2),1],
[FresnelS(b*x)^2/x^10,x,19,-1/504*b^2/x^7+1/5184*b^6*Pi^2/x^3+1/504*b^2*cos(b^2*Pi*x^2)/x^7-187/181440*b^6*Pi^2*cos(b^2*Pi*x^2)/x^3-853/181440*b^9*Pi^4*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/216*b^3*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6+1/1728*b^7*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2-1/9*FresnelS(b*x)^2/x^9-1/36*b*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^8+1/864*b^5*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-19/15120*b^4*Pi*sin(b^2*Pi*x^2)/x^5+853/362880*b^8*Pi^3*sin(b^2*Pi*x^2)/x+1/1728*b^9*Pi^4*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[(d*x+c)^2*FresnelS(b*x+a)^2,x,18,2/3*d^2*x/b^2/Pi^2+1/2*d*(-a*d+b*c)*cos(Pi*(b*x+a)^2)/b^3/Pi^2+1/6*d^2*(b*x+a)*cos(Pi*(b*x+a)^2)/b^3/Pi^2-5/6*d^2*FresnelC(sqrt(2)*(b*x+a))/sqrt(2)/b^3/Pi^2+2*(-a*d+b*c)^2*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b^3/Pi+2*d*(-a*d+b*c)*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b^3/Pi+2/3*d^2*(b*x+a)^2*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b^3/Pi-d*(-a*d+b*c)*FresnelC(b*x+a)*FresnelS(b*x+a)/b^3/Pi+(-a*d+b*c)^2*(b*x+a)*FresnelS(b*x+a)^2/b^3+d*(-a*d+b*c)*(b*x+a)^2*FresnelS(b*x+a)^2/b^3+1/3*d^2*(b*x+a)^3*FresnelS(b*x+a)^2/b^3-(-a*d+b*c)^2*FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b^3/Pi+1/4*I*d*(-a*d+b*c)*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],-1/2*I*Pi*(b*x+a)^2)/b^3/Pi-1/4*I*d*(-a*d+b*c)*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],1/2*I*Pi*(b*x+a)^2)/b^3/Pi-4/3*d^2*FresnelS(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi^2,1],
[(d*x+c)*FresnelS(b*x+a)^2,x,10,1/4*d*cos(Pi*(b*x+a)^2)/b^2/Pi^2+2*(-a*d+b*c)*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b^2/Pi+d*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b^2/Pi-1/2*d*FresnelC(b*x+a)*FresnelS(b*x+a)/b^2/Pi+(-a*d+b*c)*(b*x+a)*FresnelS(b*x+a)^2/b^2+1/2*d*(b*x+a)^2*FresnelS(b*x+a)^2/b^2-(-a*d+b*c)*FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b^2/Pi+1/8*I*d*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],-1/2*I*Pi*(b*x+a)^2)/b^2/Pi-1/8*I*d*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],1/2*I*Pi*(b*x+a)^2)/b^2/Pi,1],
[FresnelS(b*x+a)^2,x,4,2*cos(1/2*Pi*(b*x+a)^2)*FresnelS(b*x+a)/b/Pi+(b*x+a)*FresnelS(b*x+a)^2/b-FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b/Pi,1],
[FresnelS(b*x+a)^2/(d*x+c),x,0,Defer(Int)(FresnelS(b*x+a)^2/(d*x+c),x),0],
[FresnelS(b*x+a)^2/(d*x+c)^2,x,0,Defer(Int)(FresnelS(b*x+a)^2/(d*x+c)^2,x),0],
[x^2*FresnelS(d*(a+b*ln(c*x^n))),x,10,(1/12-1/12*I)*exp(-3*a/b/n+9/2*I/b^2/d^2/n^2/Pi)*x^3*erf((1/2+1/2*I)*(3/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(3/n))+(1/12-1/12*I)*exp(-3*a/b/n-9/2*I/b^2/d^2/n^2/Pi)*x^3*erfi((1/2+1/2*I)*(3/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(3/n))+1/3*x^3*FresnelS(d*(a+b*ln(c*x^n))),1],
[x*FresnelS(d*(a+b*ln(c*x^n))),x,10,(1/8-1/8*I)*exp((2*I-2*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*x^2*erf((1/2+1/2*I)*(2/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(2/n))+(1/8-1/8*I)*x^2*erfi((1/2+1/2*I)*(2/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(2*(I+a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/((c*x^n)^(2/n))+1/2*x^2*FresnelS(d*(a+b*ln(c*x^n))),1],
[FresnelS(d*(a+b*ln(c*x^n))),x,10,(1/4-1/4*I)*x*erf((1/2+1/2*I)*(1/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(1/2*(2*a*b*n-I/d^2/Pi)/b^2/n^2)/((c*x^n)^(1/n))+(1/4-1/4*I)*x*erfi((1/2+1/2*I)*(1/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(1/2*(2*a*b*n+I/d^2/Pi)/b^2/n^2)/((c*x^n)^(1/n))+x*FresnelS(d*(a+b*ln(c*x^n))),1],
[FresnelS(d*(a+b*ln(c*x^n)))/x,x,3,cos(1/2*d^2*Pi*(a+b*ln(c*x^n))^2)/b/d/n/Pi+FresnelS(d*(a+b*ln(c*x^n)))*(a+b*ln(c*x^n))/b/n,1],
[FresnelS(d*(a+b*ln(c*x^n)))/x^2,x,10,(1/4-1/4*I)*exp(1/2*(2*a*b*n+I/d^2/Pi)/b^2/n^2)*(c*x^n)^(1/n)*erf((1/2+1/2*I)*(1/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x+(1/4-1/4*I)*exp(1/2*(2*a*b*n-I/d^2/Pi)/b^2/n^2)*(c*x^n)^(1/n)*erfi((1/2+1/2*I)*(1/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x-FresnelS(d*(a+b*ln(c*x^n)))/x,1],
[FresnelS(d*(a+b*ln(c*x^n)))/x^3,x,10,(1/8-1/8*I)*exp((2*I+2*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*(c*x^n)^(2/n)*erf((1/2+1/2*I)*(2/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x^2+(1/8-1/8*I)*(c*x^n)^(2/n)*erfi((1/2+1/2*I)*(2/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(2*(I-a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/x^2-1/2*FresnelS(d*(a+b*ln(c*x^n)))/x^2,1],
[(e*x)^m*FresnelS(d*(a+b*ln(c*x^n))),x,10,(1/4-1/4*I)*exp(1/2*I*(1+m)*(1+m+2*I*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*x*(e*x)^m*erf((1/2+1/2*I)*(1+m+I*a*b*d^2*n*Pi+I*b^2*d^2*n*Pi*ln(c*x^n))/b/d/n/sqrt(Pi))/(1+m)/((c*x^n)^((1+m)/n))+(1/4-1/4*I)*x*(e*x)^m*erfi((1/2+1/2*I)*(1+m-I*a*b*d^2*n*Pi-I*b^2*d^2*n*Pi*ln(c*x^n))/b/d/n/sqrt(Pi))/exp(1/2*I*(1+m)*(1+m-2*I*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/(1+m)/((c*x^n)^((1+m)/n))+(e*x)^(1+m)*FresnelS(d*(a+b*ln(c*x^n)))/e/(1+m),1],
[exp(c+1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x,4,-1/8*exp(c)*erfi((1/2+1/2*I)*b*sqrt(Pi)*x)^2/b+1/4*I*b*exp(c)*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2),1],
[exp(c-1/2*I*b^2*Pi*x^2)*FresnelS(b*x),x,4,1/8*exp(c)*erf((1/2+1/2*I)*b*sqrt(Pi)*x)^2/b-1/4*I*b*exp(c)*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2),1],
[FresnelS(b*x)*sin(c+1/2*b^2*Pi*x^2),x,4,1/2*cos(c)*FresnelS(b*x)^2/b+1/2*FresnelC(b*x)*FresnelS(b*x)*sin(c)/b-1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)*sin(c)+1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)*sin(c),1],
[cos(c+1/2*b^2*Pi*x^2)*FresnelS(b*x),x,4,1/2*cos(c)*FresnelC(b*x)*FresnelS(b*x)/b-1/8*I*b*x^2*cos(c)*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)+1/8*I*b*x^2*cos(c)*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)-1/2*FresnelS(b*x)^2*sin(c)/b,1],
[FresnelS(b*x)^2*sin(1/2*b^2*Pi*x^2),x,2,1/3*FresnelS(b*x)^3/b,1],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,2,1/2*FresnelS(b*x)^2/b,1],
[sin(1/2*b^2*Pi*x^2)/FresnelS(b*x),x,2,ln(FresnelS(b*x))/b,1],
[sin(1/2*b^2*Pi*x^2)/FresnelS(b*x)^2,x,2,-1/b/FresnelS(b*x),1],
[sin(1/2*b^2*Pi*x^2)/FresnelS(b*x)^3,x,2,-1/2/b/FresnelS(b*x)^2,1],
[FresnelS(b*x)^n*sin(1/2*b^2*Pi*x^2),x,2,FresnelS(b*x)^(1+n)/b/(1+n),1],
[x^8*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,22,105/4*x^2/b^7/Pi^4-7/12*x^6/b^3/Pi^2+55/4*x^2*cos(b^2*Pi*x^2)/b^7/Pi^4-1/4*x^6*cos(b^2*Pi*x^2)/b^3/Pi^2+35*x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^6/Pi^3-x^7*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi+105/2*FresnelS(b*x)^2/b^9/Pi^4-105*x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^8/Pi^4+7*x^5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2-40*sin(b^2*Pi*x^2)/b^9/Pi^5+5/2*x^4*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^7*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,18,24*x/b^7/Pi^4-3/5*x^5/b^3/Pi^2+147/16*x*cos(b^2*Pi*x^2)/b^7/Pi^4-1/4*x^5*cos(b^2*Pi*x^2)/b^3/Pi^2-531/16*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^8/Pi^4+24*x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^6/Pi^3-x^6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi-48*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^8/Pi^4+6*x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+17/8*x^3*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^6*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,15,-5/8*x^4/b^3/Pi^2+11/2*cos(b^2*Pi*x^2)/b^7/Pi^4-1/4*x^4*cos(b^2*Pi*x^2)/b^3/Pi^2+15*x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^6/Pi^3-x^5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi-15/2*FresnelC(b*x)*FresnelS(b*x)/b^7/Pi^3+15/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^5/Pi^3-15/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^5/Pi^3+5*x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+7/4*x^2*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,11,-2/3*x^3/b^3/Pi^2-1/4*x^3*cos(b^2*Pi*x^2)/b^3/Pi^2+8*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^6/Pi^3-x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi-43/8*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^6/Pi^3+4*x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+11/8*x*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,9,-3/4*x^2/b^3/Pi^2-1/4*x^2*cos(b^2*Pi*x^2)/b^3/Pi^2-x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi-3/2*FresnelS(b*x)^2/b^5/Pi^2+3*x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,7,-x/b^3/Pi^2-1/4*x*cos(b^2*Pi*x^2)/b^3/Pi^2+5/4*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^4/Pi^2-x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi+2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2,1],
[x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,4,-1/4*cos(b^2*Pi*x^2)/b^3/Pi^2-x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi+1/2*FresnelC(b*x)*FresnelS(b*x)/b^3/Pi-1/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b/Pi+1/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b/Pi,1],
[x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,2,-cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^2/Pi+1/2*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^2/Pi,1],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2),x,2,1/2*FresnelS(b*x)^2/b,1],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x,0,Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x,0,Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x,3,-1/4*b/x+1/4*b*cos(b^2*Pi*x^2)/x+1/2*b^2*Pi*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+1/2*b^2*Pi*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x,8,-1/12*b/x^2+1/12*b*cos(b^2*Pi*x^2)/x^2-1/3*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x-1/6*b^3*Pi^2*FresnelS(b*x)^2-1/3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3+1/6*b^3*Pi*Si(b^2*Pi*x^2),1],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x,7,-1/24*b/x^3+1/24*b*cos(b^2*Pi*x^2)/x^3+7/24*b^4*Pi^2*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/8*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2-1/4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-7/48*b^3*Pi*sin(b^2*Pi*x^2)/x-1/8*b^4*Pi^2*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x,9,-1/40*b/x^4+1/40*b*cos(b^2*Pi*x^2)/x^4+1/24*b^5*Pi^2*Ci(b^2*Pi*x^2)-1/15*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3-1/5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/24*b^3*Pi*sin(b^2*Pi*x^2)/x^2-1/15*b^4*Pi^2*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x,12,-1/60*b/x^5+1/96*b^5*Pi^2/x+1/60*b*cos(b^2*Pi*x^2)/x^5-67/1440*b^5*Pi^2*cos(b^2*Pi*x^2)/x-1/24*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4-7/144*b^6*Pi^3*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/45*sqrt(2)*b^6*Pi^3*FresnelS(sqrt(2)*b*x)-1/6*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6+1/48*b^4*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-13/720*b^3*Pi*sin(b^2*Pi*x^2)/x^3-1/48*b^6*Pi^3*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x,19,-1/84*b/x^6+1/420*b^5*Pi^2/x^2+1/84*b*cos(b^2*Pi*x^2)/x^6-1/84*b^5*Pi^2*cos(b^2*Pi*x^2)/x^2-1/35*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5+1/105*b^6*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x+1/210*b^7*Pi^4*FresnelS(b*x)^2-1/7*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7+1/105*b^4*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/105*b^3*Pi*sin(b^2*Pi*x^2)/x^4-1/70*b^7*Pi^3*Si(b^2*Pi*x^2),1],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x,18,-1/112*b/x^7+1/1152*b^5*Pi^2/x^3+1/112*b*cos(b^2*Pi*x^2)/x^7-187/40320*b^5*Pi^2*cos(b^2*Pi*x^2)/x^3-853/40320*b^8*Pi^4*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/48*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6+1/384*b^6*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2-1/8*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^8+1/192*b^4*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-19/3360*b^3*Pi*sin(b^2*Pi*x^2)/x^5+853/80640*b^7*Pi^3*sin(b^2*Pi*x^2)/x+1/384*b^8*Pi^4*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x,22,-1/144*b/x^8+1/2520*b^5*Pi^2/x^4+1/144*b*cos(b^2*Pi*x^2)/x^8-67/30240*b^5*Pi^2*cos(b^2*Pi*x^2)/x^4-5/2016*b^9*Pi^4*Ci(b^2*Pi*x^2)-1/63*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^7+1/945*b^6*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3-1/9*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^9+1/315*b^4*Pi^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-11/3024*b^3*Pi*sin(b^2*Pi*x^2)/x^6+5/2016*b^7*Pi^3*sin(b^2*Pi*x^2)/x^2+1/945*b^8*Pi^4*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)^n,x,0,Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)^n,x),0],
[x^8*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,23,35/8*x^4/b^5/Pi^3-1/16*x^8/b/Pi-40*cos(b^2*Pi*x^2)/b^9/Pi^5+5/2*x^4*cos(b^2*Pi*x^2)/b^5/Pi^3-105*x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^8/Pi^4+7*x^5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2+105/2*FresnelC(b*x)*FresnelS(b*x)/b^9/Pi^4-105/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^7/Pi^4+105/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^7/Pi^4-35*x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^7*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-55/4*x^2*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^6*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^7*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,18,4*x^3/b^5/Pi^3-1/14*x^7/b/Pi+17/8*x^3*cos(b^2*Pi*x^2)/b^5/Pi^3-48*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^8/Pi^4+6*x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2+531/16*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^8/Pi^4-24*x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^6*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-147/16*x*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^5*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,16,15/4*x^2/b^5/Pi^3-1/12*x^6/b/Pi+7/4*x^2*cos(b^2*Pi*x^2)/b^5/Pi^3+5*x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2+15/2*FresnelS(b*x)^2/b^7/Pi^3-15*x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^5*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-11/2*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^4*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,13,4*x/b^5/Pi^3-1/10*x^5/b/Pi+11/8*x*cos(b^2*Pi*x^2)/b^5/Pi^3-43/8*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^6/Pi^3+4*x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2-8*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^4*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi+1/4*x^3*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,10,-1/8*x^4/b/Pi+cos(b^2*Pi*x^2)/b^5/Pi^3+3*x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2-3/2*FresnelC(b*x)*FresnelS(b*x)/b^5/Pi^2+3/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^3/Pi^2-3/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^3/Pi^2+x^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi+1/4*x^2*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,7,-1/6*x^3/b/Pi+2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/b^4/Pi^2-5/4*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^4/Pi^2+x^2*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi+1/4*x*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,5,-1/4*x^2/b/Pi-1/2*FresnelS(b*x)^2/b^3/Pi+x*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi+1/4*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,4,-1/2*x/b/Pi+1/2*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^2/Pi+FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi,1],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x),x,1,1/2*FresnelC(b*x)*FresnelS(b*x)/b-1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)+1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2),1],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x,0,Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2,x,4,-cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x-1/2*b*Pi*FresnelS(b*x)^2+1/4*b*Si(b^2*Pi*x^2),1],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3,x,3,1/2*b^2*Pi*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2-1/4*b*sin(b^2*Pi*x^2)/x-1/2*b^2*Pi*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4,x,4,1/12*b^3*Pi*Ci(b^2*Pi*x^2)-1/3*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3-1/12*b*sin(b^2*Pi*x^2)/x^2-1/3*b^2*Pi*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5,x,7,1/16*b^3*Pi/x-7/48*b^3*Pi*cos(b^2*Pi*x^2)/x-1/4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4-7/24*b^4*Pi^2*FresnelS(sqrt(2)*b*x)/sqrt(2)+1/8*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-1/24*b*sin(b^2*Pi*x^2)/x^3-1/8*b^4*Pi^2*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6,x,13,1/60*b^3*Pi/x^2-1/24*b^3*Pi*cos(b^2*Pi*x^2)/x^2-1/5*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5+1/15*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x+1/30*b^5*Pi^3*FresnelS(b*x)^2+1/15*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/40*b*sin(b^2*Pi*x^2)/x^4-7/120*b^5*Pi^2*Si(b^2*Pi*x^2),1],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^7,x,12,1/144*b^3*Pi/x^3-13/720*b^3*Pi*cos(b^2*Pi*x^2)/x^3-7/144*b^6*Pi^3*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/45*sqrt(2)*b^6*Pi^3*FresnelC(sqrt(2)*b*x)-1/6*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^6+1/48*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^2+1/24*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-1/60*b*sin(b^2*Pi*x^2)/x^5+67/1440*b^5*Pi^2*sin(b^2*Pi*x^2)/x+1/48*b^6*Pi^3*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^8,x,15,1/280*b^3*Pi/x^4-1/105*b^3*Pi*cos(b^2*Pi*x^2)/x^4-1/84*b^7*Pi^3*Ci(b^2*Pi*x^2)-1/7*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^7+1/105*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^3+1/35*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/84*b*sin(b^2*Pi*x^2)/x^6+1/84*b^5*Pi^2*sin(b^2*Pi*x^2)/x^2+1/105*b^6*Pi^3*Defer(Int)(FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^9,x,18,1/480*b^3*Pi/x^5-1/768*b^7*Pi^3/x-19/3360*b^3*Pi*cos(b^2*Pi*x^2)/x^5+853/80640*b^7*Pi^3*cos(b^2*Pi*x^2)/x-1/8*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^8+1/192*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^4+853/40320*b^8*Pi^4*FresnelS(sqrt(2)*b*x)/sqrt(2)+1/48*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^6-1/384*b^6*Pi^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-1/112*b*sin(b^2*Pi*x^2)/x^7+187/40320*b^5*Pi^2*sin(b^2*Pi*x^2)/x^3+1/384*b^8*Pi^4*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^10,x,26,1/756*b^3*Pi/x^6-1/3780*b^7*Pi^3/x^2-11/3024*b^3*Pi*cos(b^2*Pi*x^2)/x^6+5/2016*b^7*Pi^3*cos(b^2*Pi*x^2)/x^2-1/9*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^9+1/315*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x^5-1/945*b^8*Pi^4*cos(1/2*b^2*Pi*x^2)*FresnelS(b*x)/x-1/1890*b^9*Pi^5*FresnelS(b*x)^2+1/63*b^2*Pi*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^7-1/945*b^6*Pi^3*FresnelS(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/144*b*sin(b^2*Pi*x^2)/x^8+67/30240*b^5*Pi^2*sin(b^2*Pi*x^2)/x^4+83/30240*b^9*Pi^4*Si(b^2*Pi*x^2),1],
[x^7*FresnelC(b*x),x,6,105/8*x*cos(1/2*b^2*Pi*x^2)/b^7/Pi^4-7/8*x^5*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2-105/8*FresnelC(b*x)/b^8/Pi^4+1/8*x^8*FresnelC(b*x)+35/8*x^3*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/8*x^7*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x^6*FresnelC(b*x),x,6,48/7*cos(1/2*b^2*Pi*x^2)/b^7/Pi^4-6/7*x^4*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2+1/7*x^7*FresnelC(b*x)+24/7*x^2*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/7*x^6*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x^5*FresnelC(b*x),x,5,-5/6*x^3*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2+1/6*x^6*FresnelC(b*x)-5/2*FresnelS(b*x)/b^6/Pi^3+5/2*x*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/6*x^5*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x^4*FresnelC(b*x),x,5,-4/5*x^2*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2+1/5*x^5*FresnelC(b*x)+8/5*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/5*x^4*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x^3*FresnelC(b*x),x,4,-3/4*x*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2+3/4*FresnelC(b*x)/b^4/Pi^2+1/4*x^4*FresnelC(b*x)-1/4*x^3*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x^2*FresnelC(b*x),x,4,-2/3*cos(1/2*b^2*Pi*x^2)/b^3/Pi^2+1/3*x^3*FresnelC(b*x)-1/3*x^2*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x*FresnelC(b*x),x,3,1/2*x^2*FresnelC(b*x)+1/2*FresnelS(b*x)/b^2/Pi-1/2*x*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[FresnelC(b*x),x,1,x*FresnelC(b*x)-sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[FresnelC(b*x)/x,x,3,1/2*b*x*hypergeom([1/2, 1/2],[3/2, 3/2],-1/2*I*b^2*Pi*x^2)+1/2*b*x*hypergeom([1/2, 1/2],[3/2, 3/2],1/2*I*b^2*Pi*x^2),1],
[FresnelC(b*x)/x^2,x,2,1/2*b*Ci(1/2*b^2*Pi*x^2)-FresnelC(b*x)/x,1],
[FresnelC(b*x)/x^3,x,3,-1/2*b*cos(1/2*b^2*Pi*x^2)/x-1/2*FresnelC(b*x)/x^2-1/2*b^2*Pi*FresnelS(b*x),1],
[FresnelC(b*x)/x^4,x,4,-1/6*b*cos(1/2*b^2*Pi*x^2)/x^2-1/3*FresnelC(b*x)/x^3-1/12*b^3*Pi*Si(1/2*b^2*Pi*x^2),1],
[FresnelC(b*x)/x^5,x,4,-1/12*b*cos(1/2*b^2*Pi*x^2)/x^3-1/12*b^4*Pi^2*FresnelC(b*x)-1/4*FresnelC(b*x)/x^4+1/12*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x,1],
[FresnelC(b*x)/x^6,x,5,-1/20*b*cos(1/2*b^2*Pi*x^2)/x^4-1/80*b^5*Pi^2*Ci(1/2*b^2*Pi*x^2)-1/5*FresnelC(b*x)/x^5+1/40*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x^2,1],
[FresnelC(b*x)/x^7,x,5,-1/30*b*cos(1/2*b^2*Pi*x^2)/x^5+1/90*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)/x-1/6*FresnelC(b*x)/x^6+1/90*b^6*Pi^3*FresnelS(b*x)+1/90*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x^3,1],
[FresnelC(b*x)/x^8,x,6,-1/42*b*cos(1/2*b^2*Pi*x^2)/x^6+1/336*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)/x^2-1/7*FresnelC(b*x)/x^7+1/168*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x^4+1/672*b^7*Pi^3*Si(1/2*b^2*Pi*x^2),1],
[FresnelC(b*x)/x^9,x,6,-1/56*b*cos(1/2*b^2*Pi*x^2)/x^7+1/840*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)/x^3+1/840*b^8*Pi^4*FresnelC(b*x)-1/8*FresnelC(b*x)/x^8+1/280*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x^5-1/840*b^7*Pi^3*sin(1/2*b^2*Pi*x^2)/x,1],
[FresnelC(b*x)/x^10,x,7,-1/72*b*cos(1/2*b^2*Pi*x^2)/x^8+1/1728*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)/x^4+1/6912*b^9*Pi^4*Ci(1/2*b^2*Pi*x^2)-1/9*FresnelC(b*x)/x^9+1/432*b^3*Pi*sin(1/2*b^2*Pi*x^2)/x^6-1/3456*b^7*Pi^3*sin(1/2*b^2*Pi*x^2)/x^2,1],
[(d*x+c)^3*FresnelC(b*x+a),x,14,-2*d^2*(-a*d+b*c)*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-3/4*d^3*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-1/4*(-a*d+b*c)^4*FresnelC(b*x+a)/b^4/d+3/4*d^3*FresnelC(b*x+a)/b^4/Pi^2+1/4*(d*x+c)^4*FresnelC(b*x+a)/d+3/2*d*(-a*d+b*c)^2*FresnelS(b*x+a)/b^4/Pi-(-a*d+b*c)^3*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi-3/2*d*(-a*d+b*c)^2*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi-d^2*(-a*d+b*c)*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi-1/4*d^3*(b*x+a)^3*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi,1],
[(d*x+c)^2*FresnelC(b*x+a),x,11,-2/3*d^2*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi^2-1/3*(-a*d+b*c)^3*FresnelC(b*x+a)/b^3/d+1/3*(d*x+c)^3*FresnelC(b*x+a)/d+d*(-a*d+b*c)*FresnelS(b*x+a)/b^3/Pi-(-a*d+b*c)^2*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi-d*(-a*d+b*c)*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi-1/3*d^2*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi,1],
[(d*x+c)*FresnelC(b*x+a),x,8,-1/2*(-a*d+b*c)^2*FresnelC(b*x+a)/b^2/d+1/2*(d*x+c)^2*FresnelC(b*x+a)/d+1/2*d*FresnelS(b*x+a)/b^2/Pi-(-a*d+b*c)*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi-1/2*d*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi,1],
[FresnelC(b*x+a),x,1,(b*x+a)*FresnelC(b*x+a)/b-sin(1/2*Pi*(b*x+a)^2)/b/Pi,1],
[FresnelC(b*x+a)/(d*x+c),x,0,Defer(Int)(FresnelC(b*x+a)/(d*x+c),x),0],
[FresnelC(b*x+a)/(d*x+c)^2,x,0,Defer(Int)(FresnelC(b*x+a)/(d*x+c)^2,x),0],
[x^3*FresnelC(b*x+a),x,14,2*a*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-3/4*(b*x+a)*cos(1/2*Pi*(b*x+a)^2)/b^4/Pi^2-1/4*a^4*FresnelC(b*x+a)/b^4+3/4*FresnelC(b*x+a)/b^4/Pi^2+1/4*x^4*FresnelC(b*x+a)+3/2*a^2*FresnelS(b*x+a)/b^4/Pi+a^3*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi-3/2*a^2*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi+a*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi-1/4*(b*x+a)^3*sin(1/2*Pi*(b*x+a)^2)/b^4/Pi,1],
[x^2*FresnelC(b*x+a),x,11,-2/3*cos(1/2*Pi*(b*x+a)^2)/b^3/Pi^2+1/3*a^3*FresnelC(b*x+a)/b^3+1/3*x^3*FresnelC(b*x+a)-a*FresnelS(b*x+a)/b^3/Pi-a^2*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi+a*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi-1/3*(b*x+a)^2*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi,1],
[x*FresnelC(b*x+a),x,8,-1/2*a^2*FresnelC(b*x+a)/b^2+1/2*x^2*FresnelC(b*x+a)+1/2*FresnelS(b*x+a)/b^2/Pi+a*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi-1/2*(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi,1],
[FresnelC(b*x+a),x,1,(b*x+a)*FresnelC(b*x+a)/b-sin(1/2*Pi*(b*x+a)^2)/b/Pi,1],
[FresnelC(b*x+a)/x,x,0,Defer(Int)(FresnelC(b*x+a)/x,x),0],
[FresnelC(b*x+a)/x^2,x,0,Defer(Int)(FresnelC(b*x+a)/x^2,x),0],
[x^7*FresnelC(b*x)^2,x,23,-105/16*x^2/b^6/Pi^4+7/48*x^6/b^2/Pi^2+55/16*x^2*cos(b^2*Pi*x^2)/b^6/Pi^4-1/16*x^6*cos(b^2*Pi*x^2)/b^2/Pi^2+105/4*x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^7/Pi^4-7/4*x^5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2-105/8*FresnelC(b*x)^2/b^8/Pi^4+1/8*x^8*FresnelC(b*x)^2+35/4*x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/4*x^7*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi-10*sin(b^2*Pi*x^2)/b^8/Pi^5+5/8*x^4*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^6*FresnelC(b*x)^2,x,19,-48/7*x/b^6/Pi^4+6/35*x^5/b^2/Pi^2+21/8*x*cos(b^2*Pi*x^2)/b^6/Pi^4-1/14*x^5*cos(b^2*Pi*x^2)/b^2/Pi^2+96/7*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^7/Pi^4-12/7*x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2+1/7*x^7*FresnelC(b*x)^2-531/56*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^7/Pi^4+48/7*x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-2/7*x^6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi+17/28*x^3*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^5*FresnelC(b*x)^2,x,16,5/24*x^4/b^2/Pi^2+11/6*cos(b^2*Pi*x^2)/b^6/Pi^4-1/12*x^4*cos(b^2*Pi*x^2)/b^2/Pi^2-5/3*x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2+1/6*x^6*FresnelC(b*x)^2-5/2*FresnelC(b*x)*FresnelS(b*x)/b^6/Pi^3-5/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^4/Pi^3+5/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^4/Pi^3+5*x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-1/3*x^5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi+7/12*x^2*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^4*FresnelC(b*x)^2,x,12,4/15*x^3/b^2/Pi^2-1/10*x^3*cos(b^2*Pi*x^2)/b^2/Pi^2-8/5*x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2+1/5*x^5*FresnelC(b*x)^2-43/20*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^5/Pi^3+16/5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^5/Pi^3-2/5*x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi+11/20*x*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^3*FresnelC(b*x)^2,x,10,3/8*x^2/b^2/Pi^2-1/8*x^2*cos(b^2*Pi*x^2)/b^2/Pi^2-3/2*x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2+3/4*FresnelC(b*x)^2/b^4/Pi^2+1/4*x^4*FresnelC(b*x)^2-1/2*x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi+1/2*sin(b^2*Pi*x^2)/b^4/Pi^3,1],
[x^2*FresnelC(b*x)^2,x,8,2/3*x/b^2/Pi^2-1/6*x*cos(b^2*Pi*x^2)/b^2/Pi^2-4/3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^3/Pi^2+1/3*x^3*FresnelC(b*x)^2+5/6*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^3/Pi^2-2/3*x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[x*FresnelC(b*x)^2,x,5,-1/4*cos(b^2*Pi*x^2)/b^2/Pi^2+1/2*x^2*FresnelC(b*x)^2+1/2*FresnelC(b*x)*FresnelS(b*x)/b^2/Pi+1/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/Pi-1/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/Pi-x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[FresnelC(b*x)^2,x,4,x*FresnelC(b*x)^2+FresnelS(sqrt(2)*b*x)/sqrt(2)/b/Pi-2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b/Pi,1],
[FresnelC(b*x)^2/x,x,0,Defer(Int)(FresnelC(b*x)^2/x,x),0],
[FresnelC(b*x)^2/x^2,x,1,-FresnelC(b*x)^2/x+2*b*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[FresnelC(b*x)^2/x^3,x,1,-1/2*FresnelC(b*x)^2/x^2+b*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[FresnelC(b*x)^2/x^4,x,4,-1/6*b^2/x-1/6*b^2*cos(b^2*Pi*x^2)/x-1/3*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2-1/3*FresnelC(b*x)^2/x^3-1/3*b^3*Pi*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/3*b^3*Pi*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelC(b*x)^2/x^5,x,9,-1/24*b^2/x^2-1/24*b^2*cos(b^2*Pi*x^2)/x^2-1/6*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3-1/12*b^4*Pi^2*FresnelC(b*x)^2-1/4*FresnelC(b*x)^2/x^4+1/6*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x-1/12*b^4*Pi*Si(b^2*Pi*x^2),1],
[FresnelC(b*x)^2/x^6,x,8,-1/60*b^2/x^3-1/60*b^2*cos(b^2*Pi*x^2)/x^3-1/10*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4-1/5*FresnelC(b*x)^2/x^5-7/60*b^5*Pi^2*FresnelC(sqrt(2)*b*x)/sqrt(2)+1/20*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+7/120*b^4*Pi*sin(b^2*Pi*x^2)/x-1/20*b^5*Pi^2*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[FresnelC(b*x)^2/x^7,x,10,-1/120*b^2/x^4-1/120*b^2*cos(b^2*Pi*x^2)/x^4-1/72*b^6*Pi^2*Ci(b^2*Pi*x^2)-1/15*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5-1/6*FresnelC(b*x)^2/x^6+1/45*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3+1/72*b^4*Pi*sin(b^2*Pi*x^2)/x^2-1/45*b^5*Pi^2*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[FresnelC(b*x)^2/x^8,x,13,-1/210*b^2/x^5+1/336*b^6*Pi^2/x-1/210*b^2*cos(b^2*Pi*x^2)/x^5+67/5040*b^6*Pi^2*cos(b^2*Pi*x^2)/x-1/21*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6+1/168*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2-1/7*FresnelC(b*x)^2/x^7+1/72*b^7*Pi^3*FresnelS(sqrt(2)*b*x)/sqrt(2)+2/315*sqrt(2)*b^7*Pi^3*FresnelS(sqrt(2)*b*x)+1/84*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4+13/2520*b^4*Pi*sin(b^2*Pi*x^2)/x^3+1/168*b^7*Pi^3*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelC(b*x)^2/x^9,x,20,-1/336*b^2/x^6+1/1680*b^6*Pi^2/x^2-1/336*b^2*cos(b^2*Pi*x^2)/x^6+1/336*b^6*Pi^2*cos(b^2*Pi*x^2)/x^2-1/28*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7+1/420*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3+1/840*b^8*Pi^4*FresnelC(b*x)^2-1/8*FresnelC(b*x)^2/x^8+1/140*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/420*b^7*Pi^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x+1/420*b^4*Pi*sin(b^2*Pi*x^2)/x^4+1/280*b^8*Pi^3*Si(b^2*Pi*x^2),1],
[FresnelC(b*x)^2/x^10,x,19,-1/504*b^2/x^7+1/5184*b^6*Pi^2/x^3-1/504*b^2*cos(b^2*Pi*x^2)/x^7+187/181440*b^6*Pi^2*cos(b^2*Pi*x^2)/x^3-1/36*b*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^8+1/864*b^5*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4-1/9*FresnelC(b*x)^2/x^9+853/181440*b^9*Pi^4*FresnelC(sqrt(2)*b*x)/sqrt(2)+1/216*b^3*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6-1/1728*b^7*Pi^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+19/15120*b^4*Pi*sin(b^2*Pi*x^2)/x^5-853/362880*b^8*Pi^3*sin(b^2*Pi*x^2)/x+1/1728*b^9*Pi^4*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[(d*x+c)^2*FresnelC(b*x+a)^2,x,18,2/3*d^2*x/b^2/Pi^2-1/2*d*(-a*d+b*c)*cos(Pi*(b*x+a)^2)/b^3/Pi^2-1/6*d^2*(b*x+a)*cos(Pi*(b*x+a)^2)/b^3/Pi^2-4/3*d^2*cos(1/2*Pi*(b*x+a)^2)*FresnelC(b*x+a)/b^3/Pi^2+(-a*d+b*c)^2*(b*x+a)*FresnelC(b*x+a)^2/b^3+d*(-a*d+b*c)*(b*x+a)^2*FresnelC(b*x+a)^2/b^3+1/3*d^2*(b*x+a)^3*FresnelC(b*x+a)^2/b^3+5/6*d^2*FresnelC(sqrt(2)*(b*x+a))/sqrt(2)/b^3/Pi^2+d*(-a*d+b*c)*FresnelC(b*x+a)*FresnelS(b*x+a)/b^3/Pi+(-a*d+b*c)^2*FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b^3/Pi+1/4*I*d*(-a*d+b*c)*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],-1/2*I*Pi*(b*x+a)^2)/b^3/Pi-1/4*I*d*(-a*d+b*c)*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],1/2*I*Pi*(b*x+a)^2)/b^3/Pi-2*(-a*d+b*c)^2*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi-2*d*(-a*d+b*c)*(b*x+a)*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi-2/3*d^2*(b*x+a)^2*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^3/Pi,1],
[(d*x+c)*FresnelC(b*x+a)^2,x,10,-1/4*d*cos(Pi*(b*x+a)^2)/b^2/Pi^2+(-a*d+b*c)*(b*x+a)*FresnelC(b*x+a)^2/b^2+1/2*d*(b*x+a)^2*FresnelC(b*x+a)^2/b^2+1/2*d*FresnelC(b*x+a)*FresnelS(b*x+a)/b^2/Pi+(-a*d+b*c)*FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b^2/Pi+1/8*I*d*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],-1/2*I*Pi*(b*x+a)^2)/b^2/Pi-1/8*I*d*(b*x+a)^2*hypergeom([1, 1],[3/2, 2],1/2*I*Pi*(b*x+a)^2)/b^2/Pi-2*(-a*d+b*c)*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi-d*(b*x+a)*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b^2/Pi,1],
[FresnelC(b*x+a)^2,x,4,(b*x+a)*FresnelC(b*x+a)^2/b+FresnelS(sqrt(2)*(b*x+a))/sqrt(2)/b/Pi-2*FresnelC(b*x+a)*sin(1/2*Pi*(b*x+a)^2)/b/Pi,1],
[FresnelC(b*x+a)^2/(d*x+c),x,0,Defer(Int)(FresnelC(b*x+a)^2/(d*x+c),x),0],
[FresnelC(b*x+a)^2/(d*x+c)^2,x,0,Defer(Int)(FresnelC(b*x+a)^2/(d*x+c)^2,x),0],
[x^2*FresnelC(d*(a+b*ln(c*x^n))),x,10,(1/12+1/12*I)*exp(-3*a/b/n+9/2*I/b^2/d^2/n^2/Pi)*x^3*erf((1/2+1/2*I)*(3/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(3/n))-(1/12+1/12*I)*exp(-3*a/b/n-9/2*I/b^2/d^2/n^2/Pi)*x^3*erfi((1/2+1/2*I)*(3/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(3/n))+1/3*x^3*FresnelC(d*(a+b*ln(c*x^n))),1],
[x*FresnelC(d*(a+b*ln(c*x^n))),x,10,(1/8+1/8*I)*exp((2*I-2*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*x^2*erf((1/2+1/2*I)*(2/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/((c*x^n)^(2/n))-(1/8+1/8*I)*x^2*erfi((1/2+1/2*I)*(2/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(2*(I+a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/((c*x^n)^(2/n))+1/2*x^2*FresnelC(d*(a+b*ln(c*x^n))),1],
[FresnelC(d*(a+b*ln(c*x^n))),x,10,(1/4+1/4*I)*x*erf((1/2+1/2*I)*(1/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(1/2*(2*a*b*n-I/d^2/Pi)/b^2/n^2)/((c*x^n)^(1/n))-(1/4+1/4*I)*x*erfi((1/2+1/2*I)*(1/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(1/2*(2*a*b*n+I/d^2/Pi)/b^2/n^2)/((c*x^n)^(1/n))+x*FresnelC(d*(a+b*ln(c*x^n))),1],
[FresnelC(d*(a+b*ln(c*x^n)))/x,x,3,FresnelC(d*(a+b*ln(c*x^n)))*(a+b*ln(c*x^n))/b/n-sin(1/2*d^2*Pi*(a+b*ln(c*x^n))^2)/b/d/n/Pi,1],
[FresnelC(d*(a+b*ln(c*x^n)))/x^2,x,10,(1/4+1/4*I)*exp(1/2*(2*a*b*n+I/d^2/Pi)/b^2/n^2)*(c*x^n)^(1/n)*erf((1/2+1/2*I)*(1/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x-(1/4+1/4*I)*exp(1/2*(2*a*b*n-I/d^2/Pi)/b^2/n^2)*(c*x^n)^(1/n)*erfi((1/2+1/2*I)*(1/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x-FresnelC(d*(a+b*ln(c*x^n)))/x,1],
[FresnelC(d*(a+b*ln(c*x^n)))/x^3,x,10,(1/8+1/8*I)*exp((2*I+2*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*(c*x^n)^(2/n)*erf((1/2+1/2*I)*(2/n-I*a*b*d^2*Pi-I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/x^2-(1/8+1/8*I)*(c*x^n)^(2/n)*erfi((1/2+1/2*I)*(2/n+I*a*b*d^2*Pi+I*b^2*d^2*Pi*ln(c*x^n))/b/d/sqrt(Pi))/exp(2*(I-a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/x^2-1/2*FresnelC(d*(a+b*ln(c*x^n)))/x^2,1],
[(e*x)^m*FresnelC(d*(a+b*ln(c*x^n))),x,10,(1/4+1/4*I)*exp(1/2*I*(1+m)*(1+m+2*I*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)*x*(e*x)^m*erf((1/2+1/2*I)*(1+m+I*a*b*d^2*n*Pi+I*b^2*d^2*n*Pi*ln(c*x^n))/b/d/n/sqrt(Pi))/(1+m)/((c*x^n)^((1+m)/n))-(1/4+1/4*I)*x*(e*x)^m*erfi((1/2+1/2*I)*(1+m-I*a*b*d^2*n*Pi-I*b^2*d^2*n*Pi*ln(c*x^n))/b/d/n/sqrt(Pi))/exp(1/2*I*(1+m)*(1+m-2*I*a*b*d^2*n*Pi)/b^2/d^2/n^2/Pi)/(1+m)/((c*x^n)^((1+m)/n))+(e*x)^(1+m)*FresnelC(d*(a+b*ln(c*x^n)))/e/(1+m),1],
[exp(c+1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x,4,-1/8*I*exp(c)*erfi((1/2+1/2*I)*b*sqrt(Pi)*x)^2/b+1/4*b*exp(c)*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2),1],
[exp(c-1/2*I*b^2*Pi*x^2)*FresnelC(b*x),x,4,-1/8*I*exp(c)*erf((1/2+1/2*I)*b*sqrt(Pi)*x)^2/b+1/4*b*exp(c)*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2),1],
[FresnelC(b*x)*sin(c+1/2*b^2*Pi*x^2),x,4,1/2*cos(c)*FresnelC(b*x)*FresnelS(b*x)/b+1/8*I*b*x^2*cos(c)*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)-1/8*I*b*x^2*cos(c)*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)+1/2*FresnelC(b*x)^2*sin(c)/b,1],
[cos(c+1/2*b^2*Pi*x^2)*FresnelC(b*x),x,4,1/2*cos(c)*FresnelC(b*x)^2/b-1/2*FresnelC(b*x)*FresnelS(b*x)*sin(c)/b-1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)*sin(c)+1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)*sin(c),1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)^2,x,2,1/3*FresnelC(b*x)^3/b,1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,2,1/2*FresnelC(b*x)^2/b,1],
[cos(1/2*b^2*Pi*x^2)/FresnelC(b*x),x,2,ln(FresnelC(b*x))/b,1],
[cos(1/2*b^2*Pi*x^2)/FresnelC(b*x)^2,x,2,-1/b/FresnelC(b*x),1],
[cos(1/2*b^2*Pi*x^2)/FresnelC(b*x)^3,x,2,-1/2/b/FresnelC(b*x)^2,1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)^n,x,2,FresnelC(b*x)^(1+n)/b/(1+n),1],
[x^8*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,22,105/4*x^2/b^7/Pi^4-7/12*x^6/b^3/Pi^2-55/4*x^2*cos(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^6*cos(b^2*Pi*x^2)/b^3/Pi^2-105*x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^8/Pi^4+7*x^5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2+105/2*FresnelC(b*x)^2/b^9/Pi^4-35*x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^7*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi+40*sin(b^2*Pi*x^2)/b^9/Pi^5-5/2*x^4*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^7*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,18,24*x/b^7/Pi^4-3/5*x^5/b^3/Pi^2-147/16*x*cos(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^5*cos(b^2*Pi*x^2)/b^3/Pi^2-48*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^8/Pi^4+6*x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2+531/16*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^8/Pi^4-24*x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-17/8*x^3*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^6*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,15,-5/8*x^4/b^3/Pi^2-11/2*cos(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^4*cos(b^2*Pi*x^2)/b^3/Pi^2+5*x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2+15/2*FresnelC(b*x)*FresnelS(b*x)/b^7/Pi^3+15/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^5/Pi^3-15/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^5/Pi^3-15*x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-7/4*x^2*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,11,-2/3*x^3/b^3/Pi^2+1/4*x^3*cos(b^2*Pi*x^2)/b^3/Pi^2+4*x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2+43/8*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^6/Pi^3-8*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^6/Pi^3+x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-11/8*x*sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,9,-3/4*x^2/b^3/Pi^2+1/4*x^2*cos(b^2*Pi*x^2)/b^3/Pi^2+3*x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2-3/2*FresnelC(b*x)^2/b^5/Pi^2+x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi-sin(b^2*Pi*x^2)/b^5/Pi^3,1],
[x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,7,-x/b^3/Pi^2+1/4*x*cos(b^2*Pi*x^2)/b^3/Pi^2+2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^4/Pi^2-5/4*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^4/Pi^2+x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi,1],
[x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,4,1/4*cos(b^2*Pi*x^2)/b^3/Pi^2-1/2*FresnelC(b*x)*FresnelS(b*x)/b^3/Pi-1/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b/Pi+1/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b/Pi+x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi,1],
[x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,2,-1/2*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^2/Pi+FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^2/Pi,1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x),x,2,1/2*FresnelC(b*x)^2/b,1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x,0,Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x,0,Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3,x,3,-1/4*b/x-1/4*b*cos(b^2*Pi*x^2)/x-1/2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2-1/2*b^2*Pi*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/2*b^2*Pi*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4,x,8,-1/12*b/x^2-1/12*b*cos(b^2*Pi*x^2)/x^2-1/3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3-1/6*b^3*Pi^2*FresnelC(b*x)^2+1/3*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x-1/6*b^3*Pi*Si(b^2*Pi*x^2),1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5,x,7,-1/24*b/x^3-1/24*b*cos(b^2*Pi*x^2)/x^3-1/4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4-7/24*b^4*Pi^2*FresnelC(sqrt(2)*b*x)/sqrt(2)+1/8*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+7/48*b^3*Pi*sin(b^2*Pi*x^2)/x-1/8*b^4*Pi^2*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6,x,9,-1/40*b/x^4-1/40*b*cos(b^2*Pi*x^2)/x^4-1/24*b^5*Pi^2*Ci(b^2*Pi*x^2)-1/5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5+1/15*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3+1/24*b^3*Pi*sin(b^2*Pi*x^2)/x^2-1/15*b^4*Pi^2*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7,x,12,-1/60*b/x^5+1/96*b^5*Pi^2/x-1/60*b*cos(b^2*Pi*x^2)/x^5+67/1440*b^5*Pi^2*cos(b^2*Pi*x^2)/x-1/6*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6+1/48*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2+7/144*b^6*Pi^3*FresnelS(sqrt(2)*b*x)/sqrt(2)+1/45*sqrt(2)*b^6*Pi^3*FresnelS(sqrt(2)*b*x)+1/24*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4+13/720*b^3*Pi*sin(b^2*Pi*x^2)/x^3+1/48*b^6*Pi^3*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^8,x,19,-1/84*b/x^6+1/420*b^5*Pi^2/x^2-1/84*b*cos(b^2*Pi*x^2)/x^6+1/84*b^5*Pi^2*cos(b^2*Pi*x^2)/x^2-1/7*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7+1/105*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3+1/210*b^7*Pi^4*FresnelC(b*x)^2+1/35*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/105*b^6*Pi^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x+1/105*b^3*Pi*sin(b^2*Pi*x^2)/x^4+1/70*b^7*Pi^3*Si(b^2*Pi*x^2),1],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^9,x,18,-1/112*b/x^7+1/1152*b^5*Pi^2/x^3-1/112*b*cos(b^2*Pi*x^2)/x^7+187/40320*b^5*Pi^2*cos(b^2*Pi*x^2)/x^3-1/8*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^8+1/192*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4+853/40320*b^8*Pi^4*FresnelC(sqrt(2)*b*x)/sqrt(2)+1/48*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6-1/384*b^6*Pi^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2+19/3360*b^3*Pi*sin(b^2*Pi*x^2)/x^5-853/80640*b^7*Pi^3*sin(b^2*Pi*x^2)/x+1/384*b^8*Pi^4*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^10,x,22,-1/144*b/x^8+1/2520*b^5*Pi^2/x^4-1/144*b*cos(b^2*Pi*x^2)/x^8+67/30240*b^5*Pi^2*cos(b^2*Pi*x^2)/x^4+5/2016*b^9*Pi^4*Ci(b^2*Pi*x^2)-1/9*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^9+1/315*b^4*Pi^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5+1/63*b^2*Pi*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^7-1/945*b^6*Pi^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3+11/3024*b^3*Pi*sin(b^2*Pi*x^2)/x^6-5/2016*b^7*Pi^3*sin(b^2*Pi*x^2)/x^2+1/945*b^8*Pi^4*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[FresnelC(b*x)^n*sin(1/2*b^2*Pi*x^2),x,0,Defer(Int)(FresnelC(b*x)^n*sin(1/2*b^2*Pi*x^2),x),0],
[x^8*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,23,-35/8*x^4/b^5/Pi^3+1/16*x^8/b/Pi-40*cos(b^2*Pi*x^2)/b^9/Pi^5+5/2*x^4*cos(b^2*Pi*x^2)/b^5/Pi^3+35*x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^6/Pi^3-x^7*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi+105/2*FresnelC(b*x)*FresnelS(b*x)/b^9/Pi^4+105/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^7/Pi^4-105/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^7/Pi^4-105*x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^8/Pi^4+7*x^5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2-55/4*x^2*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^6*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^7*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,18,-4*x^3/b^5/Pi^3+1/14*x^7/b/Pi+17/8*x^3*cos(b^2*Pi*x^2)/b^5/Pi^3+24*x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^6/Pi^3-x^6*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi+531/16*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^8/Pi^4-48*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^8/Pi^4+6*x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2-147/16*x*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^5*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,16,-15/4*x^2/b^5/Pi^3+1/12*x^6/b/Pi+7/4*x^2*cos(b^2*Pi*x^2)/b^5/Pi^3+15*x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^6/Pi^3-x^5*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi-15/2*FresnelC(b*x)^2/b^7/Pi^3+5*x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2-11/2*sin(b^2*Pi*x^2)/b^7/Pi^4+1/4*x^4*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,13,-4*x/b^5/Pi^3+1/10*x^5/b/Pi+11/8*x*cos(b^2*Pi*x^2)/b^5/Pi^3+8*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^6/Pi^3-x^4*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi-43/8*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^6/Pi^3+4*x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+1/4*x^3*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,10,1/8*x^4/b/Pi+cos(b^2*Pi*x^2)/b^5/Pi^3-x^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi-3/2*FresnelC(b*x)*FresnelS(b*x)/b^5/Pi^2-3/8*I*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)/b^3/Pi^2+3/8*I*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2)/b^3/Pi^2+3*x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+1/4*x^2*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,7,1/6*x^3/b/Pi-x^2*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi-5/4*FresnelS(sqrt(2)*b*x)/sqrt(2)/b^4/Pi^2+2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/b^4/Pi^2+1/4*x*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,5,1/4*x^2/b/Pi-x*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi+1/2*FresnelC(b*x)^2/b^3/Pi+1/4*sin(b^2*Pi*x^2)/b^3/Pi^2,1],
[x*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,4,1/2*x/b/Pi-cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/b^2/Pi+1/2*FresnelC(sqrt(2)*b*x)/sqrt(2)/b^2/Pi,1],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2),x,1,1/2*FresnelC(b*x)*FresnelS(b*x)/b+1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],-1/2*I*b^2*Pi*x^2)-1/8*I*b*x^2*hypergeom([1, 1],[3/2, 2],1/2*I*b^2*Pi*x^2),1],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x,0,Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2,x,4,1/2*b*Pi*FresnelC(b*x)^2-FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x+1/4*b*Si(b^2*Pi*x^2),1],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3,x,3,1/2*b^2*Pi*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-1/4*b*sin(b^2*Pi*x^2)/x+1/2*b^2*Pi*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4,x,4,1/12*b^3*Pi*Ci(b^2*Pi*x^2)-1/3*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/12*b*sin(b^2*Pi*x^2)/x^2+1/3*b^2*Pi*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5,x,7,-1/16*b^3*Pi/x-7/48*b^3*Pi*cos(b^2*Pi*x^2)/x-1/8*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2-7/24*b^4*Pi^2*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-1/24*b*sin(b^2*Pi*x^2)/x^3-1/8*b^4*Pi^2*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6,x,13,-1/60*b^3*Pi/x^2-1/24*b^3*Pi*cos(b^2*Pi*x^2)/x^2-1/15*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3-1/30*b^5*Pi^3*FresnelC(b*x)^2-1/5*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5+1/15*b^4*Pi^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x-1/40*b*sin(b^2*Pi*x^2)/x^4-7/120*b^5*Pi^2*Si(b^2*Pi*x^2),1],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^7,x,12,-1/144*b^3*Pi/x^3-13/720*b^3*Pi*cos(b^2*Pi*x^2)/x^3-1/24*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^4-7/144*b^6*Pi^3*FresnelC(sqrt(2)*b*x)/sqrt(2)-1/45*sqrt(2)*b^6*Pi^3*FresnelC(sqrt(2)*b*x)-1/6*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^6+1/48*b^4*Pi^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^2-1/60*b*sin(b^2*Pi*x^2)/x^5+67/1440*b^5*Pi^2*sin(b^2*Pi*x^2)/x-1/48*b^6*Pi^3*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^8,x,15,-1/280*b^3*Pi/x^4-1/105*b^3*Pi*cos(b^2*Pi*x^2)/x^4-1/84*b^7*Pi^3*Ci(b^2*Pi*x^2)-1/35*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^5-1/7*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^7+1/105*b^4*Pi^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^3-1/84*b*sin(b^2*Pi*x^2)/x^6+1/84*b^5*Pi^2*sin(b^2*Pi*x^2)/x^2-1/105*b^6*Pi^3*Defer(Int)(cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^9,x,18,-1/480*b^3*Pi/x^5+1/768*b^7*Pi^3/x-19/3360*b^3*Pi*cos(b^2*Pi*x^2)/x^5+853/80640*b^7*Pi^3*cos(b^2*Pi*x^2)/x-1/48*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^6+1/384*b^6*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^2+853/40320*b^8*Pi^4*FresnelS(sqrt(2)*b*x)/sqrt(2)-1/8*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^8+1/192*b^4*Pi^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^4-1/112*b*sin(b^2*Pi*x^2)/x^7+187/40320*b^5*Pi^2*sin(b^2*Pi*x^2)/x^3+1/384*b^8*Pi^4*Defer(Int)(FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x,x),0],
[FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^10,x,26,-1/756*b^3*Pi/x^6+1/3780*b^7*Pi^3/x^2-11/3024*b^3*Pi*cos(b^2*Pi*x^2)/x^6+5/2016*b^7*Pi^3*cos(b^2*Pi*x^2)/x^2-1/63*b^2*Pi*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^7+1/945*b^6*Pi^3*cos(1/2*b^2*Pi*x^2)*FresnelC(b*x)/x^3+1/1890*b^9*Pi^5*FresnelC(b*x)^2-1/9*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^9+1/315*b^4*Pi^2*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x^5-1/945*b^8*Pi^4*FresnelC(b*x)*sin(1/2*b^2*Pi*x^2)/x-1/144*b*sin(b^2*Pi*x^2)/x^8+67/30240*b^5*Pi^2*sin(b^2*Pi*x^2)/x^4+83/30240*b^9*Pi^4*Si(b^2*Pi*x^2),1]]: