1,1,172,0,1.080079," ","integrate(x^2*sin(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(\pi b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 2 \, \pi c \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} {\left(\pi b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - 2 \, \pi c \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - 2 \, {\left(2 \, c^{2} x - b c\right)} \cos\left(c x^{2} + b x + a\right)}{8 \, c^{3}}"," ",0,"1/8*(sqrt(2)*(pi*b^2*sin(-1/4*(b^2 - 4*a*c)/c) + 2*pi*c*cos(-1/4*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) + sqrt(2)*(pi*b^2*cos(-1/4*(b^2 - 4*a*c)/c) - 2*pi*c*sin(-1/4*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) - 2*(2*c^2*x - b*c)*cos(c*x^2 + b*x + a))/c^3","A",0
2,1,118,0,1.437945," ","integrate(x*sin(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi b \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} \pi b \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 2 \, c \cos\left(c x^{2} + b x + a\right)}{4 \, c^{2}}"," ",0,"-1/4*(sqrt(2)*pi*b*sqrt(c/pi)*cos(-1/4*(b^2 - 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) + sqrt(2)*pi*b*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c)*sin(-1/4*(b^2 - 4*a*c)/c) + 2*c*cos(c*x^2 + b*x + a))/c^2","A",0
3,1,102,0,0.945195," ","integrate(sin(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} \pi \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} \pi \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}{2 \, c}"," ",0,"1/2*(sqrt(2)*pi*sqrt(c/pi)*cos(-1/4*(b^2 - 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) + sqrt(2)*pi*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c)*sin(-1/4*(b^2 - 4*a*c)/c))/c","A",0
4,0,0,0,1.294358," ","integrate(sin(c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(c x^{2} + b x + a\right)}{x}, x\right)"," ",0,"integral(sin(c*x^2 + b*x + a)/x, x)","F",0
5,1,117,0,1.356490," ","integrate(-b*cos(c*x^2+b*x+a)/x+sin(c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{2} \pi x \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - \sqrt{2} \pi x \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - \sin\left(c x^{2} + b x + a\right)}{x}"," ",0,"(sqrt(2)*pi*x*sqrt(c/pi)*cos(-1/4*(b^2 - 4*a*c)/c)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) - sqrt(2)*pi*x*sqrt(c/pi)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c)*sin(-1/4*(b^2 - 4*a*c)/c) - sin(c*x^2 + b*x + a))/x","A",0
6,1,179,0,1.863501," ","integrate(x^2*sin(-c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(\pi b^{2} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - 2 \, \pi c \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - \sqrt{2} {\left(\pi b^{2} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + 2 \, \pi c \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + 2 \, {\left(2 \, c^{2} x + b c\right)} \cos\left(c x^{2} - b x - a\right)}{8 \, c^{3}}"," ",0,"1/8*(sqrt(2)*(pi*b^2*sin(1/4*(b^2 + 4*a*c)/c) - 2*pi*c*cos(1/4*(b^2 + 4*a*c)/c))*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c) - sqrt(2)*(pi*b^2*cos(1/4*(b^2 + 4*a*c)/c) + 2*pi*c*sin(1/4*(b^2 + 4*a*c)/c))*sqrt(c/pi)*fresnel_sin(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c) + 2*(2*c^2*x + b*c)*cos(c*x^2 - b*x - a))/c^3","A",0
7,1,126,0,1.399185," ","integrate(x*sin(-c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi b \sqrt{\frac{c}{\pi}} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - \sqrt{2} \pi b \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - 2 \, c \cos\left(c x^{2} - b x - a\right)}{4 \, c^{2}}"," ",0,"-1/4*(sqrt(2)*pi*b*sqrt(c/pi)*cos(1/4*(b^2 + 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c) - sqrt(2)*pi*b*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c)*sin(1/4*(b^2 + 4*a*c)/c) - 2*c*cos(c*x^2 - b*x - a))/c^2","A",0
8,1,107,0,1.607879," ","integrate(sin(-c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi \sqrt{\frac{c}{\pi}} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - \sqrt{2} \pi \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}{2 \, c}"," ",0,"-1/2*(sqrt(2)*pi*sqrt(c/pi)*cos(1/4*(b^2 + 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c) - sqrt(2)*pi*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c)*sin(1/4*(b^2 + 4*a*c)/c))/c","A",0
9,0,0,0,1.298844," ","integrate(sin(-c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sin\left(c x^{2} - b x - a\right)}{x}, x\right)"," ",0,"integral(-sin(c*x^2 - b*x - a)/x, x)","F",0
10,1,124,0,1.183743," ","integrate(-b*cos(-c*x^2+b*x+a)/x+sin(-c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi x \sqrt{\frac{c}{\pi}} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} \pi x \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - \sin\left(c x^{2} - b x - a\right)}{x}"," ",0,"-(sqrt(2)*pi*x*sqrt(c/pi)*cos(1/4*(b^2 + 4*a*c)/c)*fresnel_cos(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c) + sqrt(2)*pi*x*sqrt(c/pi)*fresnel_sin(1/2*sqrt(2)*(2*c*x - b)*sqrt(c/pi)/c)*sin(1/4*(b^2 + 4*a*c)/c) - sin(c*x^2 - b*x - a))/x","A",0
11,1,59,0,0.865016," ","integrate(x^2*sin(1/4+x+x^2),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(2 \, x - 1\right)} \cos\left(x^{2} + x + \frac{1}{4}\right) + \frac{1}{4} \, \sqrt{2} \sqrt{\pi} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, x + 1\right)}}{2 \, \sqrt{\pi}}\right) + \frac{1}{8} \, \sqrt{2} \sqrt{\pi} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, x + 1\right)}}{2 \, \sqrt{\pi}}\right)"," ",0,"-1/4*(2*x - 1)*cos(x^2 + x + 1/4) + 1/4*sqrt(2)*sqrt(pi)*fresnel_cos(1/2*sqrt(2)*(2*x + 1)/sqrt(pi)) + 1/8*sqrt(2)*sqrt(pi)*fresnel_sin(1/2*sqrt(2)*(2*x + 1)/sqrt(pi))","A",0
12,1,32,0,1.605639," ","integrate(x*sin(1/4+x+x^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \sqrt{\pi} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, x + 1\right)}}{2 \, \sqrt{\pi}}\right) - \frac{1}{2} \, \cos\left(x^{2} + x + \frac{1}{4}\right)"," ",0,"-1/4*sqrt(2)*sqrt(pi)*fresnel_sin(1/2*sqrt(2)*(2*x + 1)/sqrt(pi)) - 1/2*cos(x^2 + x + 1/4)","A",0
13,1,22,0,1.487478," ","integrate(sin(1/4+x+x^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \sqrt{\pi} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, x + 1\right)}}{2 \, \sqrt{\pi}}\right)"," ",0,"1/2*sqrt(2)*sqrt(pi)*fresnel_sin(1/2*sqrt(2)*(2*x + 1)/sqrt(pi))","A",0
14,0,0,0,1.287869," ","integrate(sin(1/4+x+x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(x^{2} + x + \frac{1}{4}\right)}{x}, x\right)"," ",0,"integral(sin(x^2 + x + 1/4)/x, x)","F",0
15,0,0,0,1.437163," ","integrate(sin(1/4+x+x^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(x^{2} + x + \frac{1}{4}\right)}{x^{2}}, x\right)"," ",0,"integral(sin(x^2 + x + 1/4)/x^2, x)","F",0
16,1,178,0,1.496048," ","integrate(x^2*sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{8 \, c^{3} x^{3} - 6 \, {\left(2 \, c^{2} x - b c\right)} \cos\left(c x^{2} + b x + a\right) \sin\left(c x^{2} + b x + a\right) - 3 \, {\left(\pi b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - \pi c \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) + 3 \, {\left(\pi b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \pi c \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right)}{48 \, c^{3}}"," ",0,"1/48*(8*c^3*x^3 - 6*(2*c^2*x - b*c)*cos(c*x^2 + b*x + a)*sin(c*x^2 + b*x + a) - 3*(pi*b^2*cos(-1/2*(b^2 - 4*a*c)/c) - pi*c*sin(-1/2*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) + 3*(pi*b^2*sin(-1/2*(b^2 - 4*a*c)/c) + pi*c*cos(-1/2*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c))/c^3","A",0
17,1,124,0,1.497555," ","integrate(x*sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{\pi b \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) - \pi b \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + 2 \, c^{2} x^{2} - 2 \, c \cos\left(c x^{2} + b x + a\right) \sin\left(c x^{2} + b x + a\right)}{8 \, c^{2}}"," ",0,"1/8*(pi*b*sqrt(c/pi)*cos(-1/2*(b^2 - 4*a*c)/c)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) - pi*b*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c)*sin(-1/2*(b^2 - 4*a*c)/c) + 2*c^2*x^2 - 2*c*cos(c*x^2 + b*x + a)*sin(c*x^2 + b*x + a))/c^2","A",0
18,1,93,0,0.765325," ","integrate(sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\pi \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) - \pi \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - 2 \, c x}{4 \, c}"," ",0,"-1/4*(pi*sqrt(c/pi)*cos(-1/2*(b^2 - 4*a*c)/c)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) - pi*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c)*sin(-1/2*(b^2 - 4*a*c)/c) - 2*c*x)/c","A",0
19,0,0,0,1.417796," ","integrate(sin(c*x^2+b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cos\left(c x^{2} + b x + a\right)^{2} - 1}{x}, x\right)"," ",0,"integral(-(cos(c*x^2 + b*x + a)^2 - 1)/x, x)","F",0
20,1,187,0,1.448375," ","integrate(x^2*sin(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{8 \, c^{3} x^{3} - 6 \, {\left(2 \, c^{2} x + b c\right)} \cos\left(c x^{2} - b x - a\right) \sin\left(c x^{2} - b x - a\right) - 3 \, {\left(\pi b^{2} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + \pi c \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) - 3 \, {\left(\pi b^{2} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - \pi c \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right)}{48 \, c^{3}}"," ",0,"1/48*(8*c^3*x^3 - 6*(2*c^2*x + b*c)*cos(c*x^2 - b*x - a)*sin(c*x^2 - b*x - a) - 3*(pi*b^2*cos(1/2*(b^2 + 4*a*c)/c) + pi*c*sin(1/2*(b^2 + 4*a*c)/c))*sqrt(c/pi)*fresnel_cos((2*c*x - b)*sqrt(c/pi)/c) - 3*(pi*b^2*sin(1/2*(b^2 + 4*a*c)/c) - pi*c*cos(1/2*(b^2 + 4*a*c)/c))*sqrt(c/pi)*fresnel_sin((2*c*x - b)*sqrt(c/pi)/c))/c^3","A",0
21,1,133,0,1.375562," ","integrate(x*sin(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\pi b \sqrt{\frac{c}{\pi}} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) + \pi b \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - 2 \, c^{2} x^{2} + 2 \, c \cos\left(c x^{2} - b x - a\right) \sin\left(c x^{2} - b x - a\right)}{8 \, c^{2}}"," ",0,"-1/8*(pi*b*sqrt(c/pi)*cos(1/2*(b^2 + 4*a*c)/c)*fresnel_cos((2*c*x - b)*sqrt(c/pi)/c) + pi*b*sqrt(c/pi)*fresnel_sin((2*c*x - b)*sqrt(c/pi)/c)*sin(1/2*(b^2 + 4*a*c)/c) - 2*c^2*x^2 + 2*c*cos(c*x^2 - b*x - a)*sin(c*x^2 - b*x - a))/c^2","A",0
22,1,96,0,1.254790," ","integrate(sin(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\pi \sqrt{\frac{c}{\pi}} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) + \pi \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - 2 \, c x}{4 \, c}"," ",0,"-1/4*(pi*sqrt(c/pi)*cos(1/2*(b^2 + 4*a*c)/c)*fresnel_cos((2*c*x - b)*sqrt(c/pi)/c) + pi*sqrt(c/pi)*fresnel_sin((2*c*x - b)*sqrt(c/pi)/c)*sin(1/2*(b^2 + 4*a*c)/c) - 2*c*x)/c","A",0
23,0,0,0,1.461626," ","integrate(sin(-c*x^2+b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cos\left(c x^{2} - b x - a\right)^{2} - 1}{x}, x\right)"," ",0,"integral(-(cos(c*x^2 - b*x - a)^2 - 1)/x, x)","F",0
24,1,57,0,1.209783," ","integrate(x^2*sin(1/4+x+x^2)^2,x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - \frac{1}{8} \, {\left(2 \, x - 1\right)} \cos\left(x^{2} + x + \frac{1}{4}\right) \sin\left(x^{2} + x + \frac{1}{4}\right) - \frac{1}{16} \, \sqrt{\pi} \operatorname{C}\left(\frac{2 \, x + 1}{\sqrt{\pi}}\right) + \frac{1}{16} \, \sqrt{\pi} \operatorname{S}\left(\frac{2 \, x + 1}{\sqrt{\pi}}\right)"," ",0,"1/6*x^3 - 1/8*(2*x - 1)*cos(x^2 + x + 1/4)*sin(x^2 + x + 1/4) - 1/16*sqrt(pi)*fresnel_cos((2*x + 1)/sqrt(pi)) + 1/16*sqrt(pi)*fresnel_sin((2*x + 1)/sqrt(pi))","A",0
25,1,37,0,1.386384," ","integrate(x*sin(1/4+x+x^2)^2,x, algorithm=""fricas"")","\frac{1}{4} \, x^{2} - \frac{1}{4} \, \cos\left(x^{2} + x + \frac{1}{4}\right) \sin\left(x^{2} + x + \frac{1}{4}\right) + \frac{1}{8} \, \sqrt{\pi} \operatorname{C}\left(\frac{2 \, x + 1}{\sqrt{\pi}}\right)"," ",0,"1/4*x^2 - 1/4*cos(x^2 + x + 1/4)*sin(x^2 + x + 1/4) + 1/8*sqrt(pi)*fresnel_cos((2*x + 1)/sqrt(pi))","A",0
26,1,19,0,1.428192," ","integrate(sin(1/4+x+x^2)^2,x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\pi} \operatorname{C}\left(\frac{2 \, x + 1}{\sqrt{\pi}}\right) + \frac{1}{2} \, x"," ",0,"-1/4*sqrt(pi)*fresnel_cos((2*x + 1)/sqrt(pi)) + 1/2*x","A",0
27,0,0,0,0.988227," ","integrate(sin(1/4+x+x^2)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cos\left(x^{2} + x + \frac{1}{4}\right)^{2} - 1}{x}, x\right)"," ",0,"integral(-(cos(x^2 + x + 1/4)^2 - 1)/x, x)","F",0
28,0,0,0,1.012589," ","integrate(sin(1/4+x+x^2)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cos\left(x^{2} + x + \frac{1}{4}\right)^{2} - 1}{x^{2}}, x\right)"," ",0,"integral(-(cos(x^2 + x + 1/4)^2 - 1)/x^2, x)","F",0
29,1,231,0,1.014272," ","integrate((e*x+d)^2*sin(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(2 \, \pi c e^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \pi {\left(4 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - \sqrt{2} {\left(2 \, \pi c e^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - \pi {\left(4 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) - 2 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cos\left(c x^{2} + b x + a\right)}{8 \, c^{3}}"," ",0,"1/8*(sqrt(2)*(2*pi*c*e^2*cos(-1/4*(b^2 - 4*a*c)/c) + pi*(4*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*sin(-1/4*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) - sqrt(2)*(2*pi*c*e^2*sin(-1/4*(b^2 - 4*a*c)/c) - pi*(4*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*cos(-1/4*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) - 2*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cos(c*x^2 + b*x + a))/c^3","A",0
30,1,135,0,0.968010," ","integrate((e*x+d)*sin(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} \pi {\left(2 \, c d - b e\right)} \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} \pi {\left(2 \, c d - b e\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - 2 \, c e \cos\left(c x^{2} + b x + a\right)}{4 \, c^{2}}"," ",0,"1/4*(sqrt(2)*pi*(2*c*d - b*e)*sqrt(c/pi)*cos(-1/4*(b^2 - 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) + sqrt(2)*pi*(2*c*d - b*e)*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c)*sin(-1/4*(b^2 - 4*a*c)/c) - 2*c*e*cos(c*x^2 + b*x + a))/c^2","A",0
31,1,102,0,1.300191," ","integrate(sin(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{2} \pi \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) \operatorname{S}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) + \sqrt{2} \pi \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{2 \, c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}{2 \, c}"," ",0,"1/2*(sqrt(2)*pi*sqrt(c/pi)*cos(-1/4*(b^2 - 4*a*c)/c)*fresnel_sin(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c) + sqrt(2)*pi*sqrt(c/pi)*fresnel_cos(1/2*sqrt(2)*(2*c*x + b)*sqrt(c/pi)/c)*sin(-1/4*(b^2 - 4*a*c)/c))/c","A",0
32,0,0,0,0.840644," ","integrate(sin(c*x^2+b*x+a)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(c x^{2} + b x + a\right)}{e x + d}, x\right)"," ",0,"integral(sin(c*x^2 + b*x + a)/(e*x + d), x)","F",0
33,1,257,0,1.249250," ","integrate((e*x+d)^2*sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{8 \, c^{3} e^{2} x^{3} + 24 \, c^{3} d e x^{2} + 24 \, c^{3} d^{2} x - 6 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cos\left(c x^{2} + b x + a\right) \sin\left(c x^{2} + b x + a\right) + 3 \, {\left(\pi c e^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - \pi {\left(4 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) + 3 \, {\left(\pi c e^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \pi {\left(4 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right)}{48 \, c^{3}}"," ",0,"1/48*(8*c^3*e^2*x^3 + 24*c^3*d*e*x^2 + 24*c^3*d^2*x - 6*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cos(c*x^2 + b*x + a)*sin(c*x^2 + b*x + a) + 3*(pi*c*e^2*sin(-1/2*(b^2 - 4*a*c)/c) - pi*(4*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*cos(-1/2*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) + 3*(pi*c*e^2*cos(-1/2*(b^2 - 4*a*c)/c) + pi*(4*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*sin(-1/2*(b^2 - 4*a*c)/c))*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c))/c^3","A",0
34,1,149,0,1.211491," ","integrate((e*x+d)*sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, c^{2} e x^{2} - \pi {\left(2 \, c d - b e\right)} \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) + \pi {\left(2 \, c d - b e\right)} \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + 4 \, c^{2} d x - 2 \, c e \cos\left(c x^{2} + b x + a\right) \sin\left(c x^{2} + b x + a\right)}{8 \, c^{2}}"," ",0,"1/8*(2*c^2*e*x^2 - pi*(2*c*d - b*e)*sqrt(c/pi)*cos(-1/2*(b^2 - 4*a*c)/c)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) + pi*(2*c*d - b*e)*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c)*sin(-1/2*(b^2 - 4*a*c)/c) + 4*c^2*d*x - 2*c*e*cos(c*x^2 + b*x + a)*sin(c*x^2 + b*x + a))/c^2","A",0
35,1,93,0,0.878845," ","integrate(sin(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\pi \sqrt{\frac{c}{\pi}} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) \operatorname{C}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) - \pi \sqrt{\frac{c}{\pi}} \operatorname{S}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{\frac{c}{\pi}}}{c}\right) \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - 2 \, c x}{4 \, c}"," ",0,"-1/4*(pi*sqrt(c/pi)*cos(-1/2*(b^2 - 4*a*c)/c)*fresnel_cos((2*c*x + b)*sqrt(c/pi)/c) - pi*sqrt(c/pi)*fresnel_sin((2*c*x + b)*sqrt(c/pi)/c)*sin(-1/2*(b^2 - 4*a*c)/c) - 2*c*x)/c","A",0
36,0,0,0,0.980890," ","integrate(sin(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\cos\left(c x^{2} + b x + a\right)^{2} - 1}{e x + d}, x\right)"," ",0,"integral(-(cos(c*x^2 + b*x + a)^2 - 1)/(e*x + d), x)","F",0
