1,1,27,0,0.568703," ","integrate(x^3*cos(b*x^2+a),x, algorithm=""fricas"")","\frac{b x^{2} \sin\left(b x^{2} + a\right) + \cos\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2*sin(b*x^2 + a) + cos(b*x^2 + a))/b^2","A",0
2,1,72,0,0.638659," ","integrate(x^2*cos(b*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) + \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) - 2 \, b x \sin\left(b x^{2} + a\right)}{4 \, b^{2}}"," ",0,"-1/4*(sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x*sqrt(b/pi)) + sqrt(2)*pi*sqrt(b/pi)*fresnel_cos(sqrt(2)*x*sqrt(b/pi))*sin(a) - 2*b*x*sin(b*x^2 + a))/b^2","A",0
3,1,13,0,0.854847," ","integrate(x*cos(b*x^2+a),x, algorithm=""fricas"")","\frac{\sin\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*sin(b*x^2 + a)/b","A",0
4,1,61,0,0.821577," ","integrate(cos(b*x^2+a),x, algorithm=""fricas"")","\frac{\sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) - \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right)}{2 \, b}"," ",0,"1/2*(sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*x*sqrt(b/pi)) - sqrt(2)*pi*sqrt(b/pi)*fresnel_sin(sqrt(2)*x*sqrt(b/pi))*sin(a))/b","A",0
5,1,29,0,0.881890," ","integrate(cos(b*x^2+a)/x,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(\operatorname{Ci}\left(b x^{2}\right) + \operatorname{Ci}\left(-b x^{2}\right)\right)} \cos\left(a\right) - \frac{1}{2} \, \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right)"," ",0,"1/4*(cos_integral(b*x^2) + cos_integral(-b*x^2))*cos(a) - 1/2*sin(a)*sin_integral(b*x^2)","A",0
6,1,70,0,0.871854," ","integrate(cos(b*x^2+a)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) + \sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) + \cos\left(b x^{2} + a\right)}{x}"," ",0,"-(sqrt(2)*pi*x*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x*sqrt(b/pi)) + sqrt(2)*pi*x*sqrt(b/pi)*fresnel_cos(sqrt(2)*x*sqrt(b/pi))*sin(a) + cos(b*x^2 + a))/x","A",0
7,1,57,0,0.929623," ","integrate(cos(b*x^2+a)/x^3,x, algorithm=""fricas"")","-\frac{2 \, b x^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) + {\left(b x^{2} \operatorname{Ci}\left(b x^{2}\right) + b x^{2} \operatorname{Ci}\left(-b x^{2}\right)\right)} \sin\left(a\right) + 2 \, \cos\left(b x^{2} + a\right)}{4 \, x^{2}}"," ",0,"-1/4*(2*b*x^2*cos(a)*sin_integral(b*x^2) + (b*x^2*cos_integral(b*x^2) + b*x^2*cos_integral(-b*x^2))*sin(a) + 2*cos(b*x^2 + a))/x^2","A",0
8,1,45,0,0.940339," ","integrate(x^3*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{4} + 2 \, b x^{2} \cos\left(b x^{2} + a\right) \sin\left(b x^{2} + a\right) + \cos\left(b x^{2} + a\right)^{2}}{8 \, b^{2}}"," ",0,"1/8*(b^2*x^4 + 2*b*x^2*cos(b*x^2 + a)*sin(b*x^2 + a) + cos(b*x^2 + a)^2)/b^2","A",0
9,1,84,0,0.750127," ","integrate(x^2*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{8 \, b^{2} x^{3} + 12 \, b x \cos\left(b x^{2} + a\right) \sin\left(b x^{2} + a\right) - 3 \, \pi \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{S}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) - 3 \, \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right)}{48 \, b^{2}}"," ",0,"1/48*(8*b^2*x^3 + 12*b*x*cos(b*x^2 + a)*sin(b*x^2 + a) - 3*pi*sqrt(b/pi)*cos(2*a)*fresnel_sin(2*x*sqrt(b/pi)) - 3*pi*sqrt(b/pi)*fresnel_cos(2*x*sqrt(b/pi))*sin(2*a))/b^2","A",0
10,1,28,0,1.325834," ","integrate(x*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b x^{2} + \cos\left(b x^{2} + a\right) \sin\left(b x^{2} + a\right)}{4 \, b}"," ",0,"1/4*(b*x^2 + cos(b*x^2 + a)*sin(b*x^2 + a))/b","A",0
11,1,59,0,0.950352," ","integrate(cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{\pi \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{C}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) - \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) + 2 \, b x}{4 \, b}"," ",0,"1/4*(pi*sqrt(b/pi)*cos(2*a)*fresnel_cos(2*x*sqrt(b/pi)) - pi*sqrt(b/pi)*fresnel_sin(2*x*sqrt(b/pi))*sin(2*a) + 2*b*x)/b","A",0
12,1,39,0,0.897823," ","integrate(cos(b*x^2+a)^2/x,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(\operatorname{Ci}\left(2 \, b x^{2}\right) + \operatorname{Ci}\left(-2 \, b x^{2}\right)\right)} \cos\left(2 \, a\right) - \frac{1}{4} \, \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{2}\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/8*(cos_integral(2*b*x^2) + cos_integral(-2*b*x^2))*cos(2*a) - 1/4*sin(2*a)*sin_integral(2*b*x^2) + 1/2*log(x)","A",0
13,1,66,0,0.888650," ","integrate(cos(b*x^2+a)^2/x^2,x, algorithm=""fricas"")","-\frac{\pi x \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{S}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) + \pi x \sqrt{\frac{b}{\pi}} \operatorname{C}\left(2 \, x \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) + \cos\left(b x^{2} + a\right)^{2}}{x}"," ",0,"-(pi*x*sqrt(b/pi)*cos(2*a)*fresnel_sin(2*x*sqrt(b/pi)) + pi*x*sqrt(b/pi)*fresnel_cos(2*x*sqrt(b/pi))*sin(2*a) + cos(b*x^2 + a)^2)/x","A",0
14,1,65,0,0.671188," ","integrate(cos(b*x^2+a)^2/x^3,x, algorithm=""fricas"")","-\frac{2 \, b x^{2} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{2}\right) + 2 \, \cos\left(b x^{2} + a\right)^{2} + {\left(b x^{2} \operatorname{Ci}\left(2 \, b x^{2}\right) + b x^{2} \operatorname{Ci}\left(-2 \, b x^{2}\right)\right)} \sin\left(2 \, a\right)}{4 \, x^{2}}"," ",0,"-1/4*(2*b*x^2*cos(2*a)*sin_integral(2*b*x^2) + 2*cos(b*x^2 + a)^2 + (b*x^2*cos_integral(2*b*x^2) + b*x^2*cos_integral(-2*b*x^2))*sin(2*a))/x^2","A",0
15,1,58,0,0.865132," ","integrate(x^3*cos(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{\cos\left(b x^{2} + a\right)^{3} + 3 \, {\left(b x^{2} \cos\left(b x^{2} + a\right)^{2} + 2 \, b x^{2}\right)} \sin\left(b x^{2} + a\right) + 6 \, \cos\left(b x^{2} + a\right)}{18 \, b^{2}}"," ",0,"1/18*(cos(b*x^2 + a)^3 + 3*(b*x^2*cos(b*x^2 + a)^2 + 2*b*x^2)*sin(b*x^2 + a) + 6*cos(b*x^2 + a))/b^2","A",0
16,1,148,0,0.660827," ","integrate(x^2*cos(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{\sqrt{6} \pi \sqrt{\frac{b}{\pi}} \cos\left(3 \, a\right) \operatorname{S}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) + 27 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) + \sqrt{6} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) \sin\left(3 \, a\right) + 27 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) - 24 \, {\left(b x \cos\left(b x^{2} + a\right)^{2} + 2 \, b x\right)} \sin\left(b x^{2} + a\right)}{144 \, b^{2}}"," ",0,"-1/144*(sqrt(6)*pi*sqrt(b/pi)*cos(3*a)*fresnel_sin(sqrt(6)*x*sqrt(b/pi)) + 27*sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x*sqrt(b/pi)) + sqrt(6)*pi*sqrt(b/pi)*fresnel_cos(sqrt(6)*x*sqrt(b/pi))*sin(3*a) + 27*sqrt(2)*pi*sqrt(b/pi)*fresnel_cos(sqrt(2)*x*sqrt(b/pi))*sin(a) - 24*(b*x*cos(b*x^2 + a)^2 + 2*b*x)*sin(b*x^2 + a))/b^2","A",0
17,1,25,0,0.717348," ","integrate(x*cos(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{{\left(\cos\left(b x^{2} + a\right)^{2} + 2\right)} \sin\left(b x^{2} + a\right)}{6 \, b}"," ",0,"1/6*(cos(b*x^2 + a)^2 + 2)*sin(b*x^2 + a)/b","A",0
18,1,121,0,1.371965," ","integrate(cos(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{\sqrt{6} \pi \sqrt{\frac{b}{\pi}} \cos\left(3 \, a\right) \operatorname{C}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) + 9 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) - \sqrt{6} \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) \sin\left(3 \, a\right) - 9 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right)}{24 \, b}"," ",0,"1/24*(sqrt(6)*pi*sqrt(b/pi)*cos(3*a)*fresnel_cos(sqrt(6)*x*sqrt(b/pi)) + 9*sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*x*sqrt(b/pi)) - sqrt(6)*pi*sqrt(b/pi)*fresnel_sin(sqrt(6)*x*sqrt(b/pi))*sin(3*a) - 9*sqrt(2)*pi*sqrt(b/pi)*fresnel_sin(sqrt(2)*x*sqrt(b/pi))*sin(a))/b","A",0
19,1,63,0,1.524016," ","integrate(cos(b*x^2+a)^3/x,x, algorithm=""fricas"")","\frac{1}{16} \, {\left(\operatorname{Ci}\left(3 \, b x^{2}\right) + \operatorname{Ci}\left(-3 \, b x^{2}\right)\right)} \cos\left(3 \, a\right) + \frac{3}{16} \, {\left(\operatorname{Ci}\left(b x^{2}\right) + \operatorname{Ci}\left(-b x^{2}\right)\right)} \cos\left(a\right) - \frac{1}{8} \, \sin\left(3 \, a\right) \operatorname{Si}\left(3 \, b x^{2}\right) - \frac{3}{8} \, \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right)"," ",0,"1/16*(cos_integral(3*b*x^2) + cos_integral(-3*b*x^2))*cos(3*a) + 3/16*(cos_integral(b*x^2) + cos_integral(-b*x^2))*cos(a) - 1/8*sin(3*a)*sin_integral(3*b*x^2) - 3/8*sin(a)*sin_integral(b*x^2)","A",0
20,1,136,0,0.861357," ","integrate(cos(b*x^2+a)^3/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{6} \pi x \sqrt{\frac{b}{\pi}} \cos\left(3 \, a\right) \operatorname{S}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) + 3 \, \sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) + \sqrt{6} \pi x \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{6} x \sqrt{\frac{b}{\pi}}\right) \sin\left(3 \, a\right) + 3 \, \sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) + 4 \, \cos\left(b x^{2} + a\right)^{3}}{4 \, x}"," ",0,"-1/4*(sqrt(6)*pi*x*sqrt(b/pi)*cos(3*a)*fresnel_sin(sqrt(6)*x*sqrt(b/pi)) + 3*sqrt(2)*pi*x*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x*sqrt(b/pi)) + sqrt(6)*pi*x*sqrt(b/pi)*fresnel_cos(sqrt(6)*x*sqrt(b/pi))*sin(3*a) + 3*sqrt(2)*pi*x*sqrt(b/pi)*fresnel_cos(sqrt(2)*x*sqrt(b/pi))*sin(a) + 4*cos(b*x^2 + a)^3)/x","A",0
21,1,108,0,0.682145," ","integrate(cos(b*x^2+a)^3/x^3,x, algorithm=""fricas"")","-\frac{6 \, b x^{2} \cos\left(3 \, a\right) \operatorname{Si}\left(3 \, b x^{2}\right) + 6 \, b x^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) + 8 \, \cos\left(b x^{2} + a\right)^{3} + 3 \, {\left(b x^{2} \operatorname{Ci}\left(3 \, b x^{2}\right) + b x^{2} \operatorname{Ci}\left(-3 \, b x^{2}\right)\right)} \sin\left(3 \, a\right) + 3 \, {\left(b x^{2} \operatorname{Ci}\left(b x^{2}\right) + b x^{2} \operatorname{Ci}\left(-b x^{2}\right)\right)} \sin\left(a\right)}{16 \, x^{2}}"," ",0,"-1/16*(6*b*x^2*cos(3*a)*sin_integral(3*b*x^2) + 6*b*x^2*cos(a)*sin_integral(b*x^2) + 8*cos(b*x^2 + a)^3 + 3*(b*x^2*cos_integral(3*b*x^2) + b*x^2*cos_integral(-3*b*x^2))*sin(3*a) + 3*(b*x^2*cos_integral(b*x^2) + b*x^2*cos_integral(-b*x^2))*sin(a))/x^2","A",0
22,1,51,0,0.937310," ","integrate(x*cos(b*x^2+a)^7,x, algorithm=""fricas"")","\frac{{\left(5 \, \cos\left(b x^{2} + a\right)^{6} + 6 \, \cos\left(b x^{2} + a\right)^{4} + 8 \, \cos\left(b x^{2} + a\right)^{2} + 16\right)} \sin\left(b x^{2} + a\right)}{70 \, b}"," ",0,"1/70*(5*cos(b*x^2 + a)^6 + 6*cos(b*x^2 + a)^4 + 8*cos(b*x^2 + a)^2 + 16)*sin(b*x^2 + a)/b","A",0
23,1,58,0,0.880120," ","integrate(x^(5/2)*cos(b*x^2+a),x, algorithm=""fricas"")","\frac{8 \, b x^{\frac{3}{2}} \sin\left(b x^{2} + a\right) + 3 \, \left(i \, b\right)^{\frac{1}{4}} e^{\left(-i \, a\right)} \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + 3 \, \left(-i \, b\right)^{\frac{1}{4}} e^{\left(i \, a\right)} \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)}{16 \, b^{2}}"," ",0,"1/16*(8*b*x^(3/2)*sin(b*x^2 + a) + 3*(I*b)^(1/4)*e^(-I*a)*gamma(3/4, I*b*x^2) + 3*(-I*b)^(1/4)*e^(I*a)*gamma(3/4, -I*b*x^2))/b^2","A",0
24,1,56,0,0.603199," ","integrate(x^(3/2)*cos(b*x^2+a),x, algorithm=""fricas"")","\frac{\left(i \, b\right)^{\frac{3}{4}} e^{\left(-i \, a\right)} \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \left(-i \, b\right)^{\frac{3}{4}} e^{\left(i \, a\right)} \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right) + 8 \, b \sqrt{x} \sin\left(b x^{2} + a\right)}{16 \, b^{2}}"," ",0,"1/16*((I*b)^(3/4)*e^(-I*a)*gamma(1/4, I*b*x^2) + (-I*b)^(3/4)*e^(I*a)*gamma(1/4, -I*b*x^2) + 8*b*sqrt(x)*sin(b*x^2 + a))/b^2","A",0
25,1,44,0,0.988009," ","integrate(x^(1/2)*cos(b*x^2+a),x, algorithm=""fricas"")","\frac{i \, \left(i \, b\right)^{\frac{1}{4}} e^{\left(-i \, a\right)} \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) - i \, \left(-i \, b\right)^{\frac{1}{4}} e^{\left(i \, a\right)} \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)}{4 \, b}"," ",0,"1/4*(I*(I*b)^(1/4)*e^(-I*a)*gamma(3/4, I*b*x^2) - I*(-I*b)^(1/4)*e^(I*a)*gamma(3/4, -I*b*x^2))/b","A",0
26,1,44,0,0.952969," ","integrate(cos(b*x^2+a)/x^(1/2),x, algorithm=""fricas"")","\frac{i \, \left(i \, b\right)^{\frac{3}{4}} e^{\left(-i \, a\right)} \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) - i \, \left(-i \, b\right)^{\frac{3}{4}} e^{\left(i \, a\right)} \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)}{4 \, b}"," ",0,"1/4*(I*(I*b)^(3/4)*e^(-I*a)*gamma(1/4, I*b*x^2) - I*(-I*b)^(3/4)*e^(I*a)*gamma(1/4, -I*b*x^2))/b","A",0
27,1,56,0,0.796342," ","integrate(cos(b*x^2+a)/x^(3/2),x, algorithm=""fricas"")","\frac{\left(i \, b\right)^{\frac{1}{4}} x e^{\left(-i \, a\right)} \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + \left(-i \, b\right)^{\frac{1}{4}} x e^{\left(i \, a\right)} \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right) - 2 \, \sqrt{x} \cos\left(b x^{2} + a\right)}{x}"," ",0,"((I*b)^(1/4)*x*e^(-I*a)*gamma(3/4, I*b*x^2) + (-I*b)^(1/4)*x*e^(I*a)*gamma(3/4, -I*b*x^2) - 2*sqrt(x)*cos(b*x^2 + a))/x","A",0
28,1,61,0,0.914784," ","integrate(cos(b*x^2+a)/x^(5/2),x, algorithm=""fricas"")","\frac{\left(i \, b\right)^{\frac{3}{4}} x^{2} e^{\left(-i \, a\right)} \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \left(-i \, b\right)^{\frac{3}{4}} x^{2} e^{\left(i \, a\right)} \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right) - 2 \, \sqrt{x} \cos\left(b x^{2} + a\right)}{3 \, x^{2}}"," ",0,"1/3*((I*b)^(3/4)*x^2*e^(-I*a)*gamma(1/4, I*b*x^2) + (-I*b)^(3/4)*x^2*e^(I*a)*gamma(1/4, -I*b*x^2) - 2*sqrt(x)*cos(b*x^2 + a))/x^2","A",0
29,1,78,0,1.054307," ","integrate(x^(5/2)*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{21 \, \left(2 i \, b\right)^{\frac{1}{4}} e^{\left(-2 i \, a\right)} \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + 21 \, \left(-2 i \, b\right)^{\frac{1}{4}} e^{\left(2 i \, a\right)} \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right) + 32 \, {\left(4 \, b^{2} x^{3} + 7 \, b x \cos\left(b x^{2} + a\right) \sin\left(b x^{2} + a\right)\right)} \sqrt{x}}{896 \, b^{2}}"," ",0,"1/896*(21*(2*I*b)^(1/4)*e^(-2*I*a)*gamma(3/4, 2*I*b*x^2) + 21*(-2*I*b)^(1/4)*e^(2*I*a)*gamma(3/4, -2*I*b*x^2) + 32*(4*b^2*x^3 + 7*b*x*cos(b*x^2 + a)*sin(b*x^2 + a))*sqrt(x))/b^2","A",0
30,1,77,0,0.871716," ","integrate(x^(3/2)*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{5 \, \left(2 i \, b\right)^{\frac{3}{4}} e^{\left(-2 i \, a\right)} \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + 5 \, \left(-2 i \, b\right)^{\frac{3}{4}} e^{\left(2 i \, a\right)} \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right) + 32 \, {\left(4 \, b^{2} x^{2} + 5 \, b \cos\left(b x^{2} + a\right) \sin\left(b x^{2} + a\right)\right)} \sqrt{x}}{640 \, b^{2}}"," ",0,"1/640*(5*(2*I*b)^(3/4)*e^(-2*I*a)*gamma(1/4, 2*I*b*x^2) + 5*(-2*I*b)^(3/4)*e^(2*I*a)*gamma(1/4, -2*I*b*x^2) + 32*(4*b^2*x^2 + 5*b*cos(b*x^2 + a)*sin(b*x^2 + a))*sqrt(x))/b^2","A",0
31,1,50,0,0.727437," ","integrate(x^(1/2)*cos(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{16 \, b x^{\frac{3}{2}} + 3 i \, \left(2 i \, b\right)^{\frac{1}{4}} e^{\left(-2 i \, a\right)} \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) - 3 i \, \left(-2 i \, b\right)^{\frac{1}{4}} e^{\left(2 i \, a\right)} \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)}{48 \, b}"," ",0,"1/48*(16*b*x^(3/2) + 3*I*(2*I*b)^(1/4)*e^(-2*I*a)*gamma(3/4, 2*I*b*x^2) - 3*I*(-2*I*b)^(1/4)*e^(2*I*a)*gamma(3/4, -2*I*b*x^2))/b","A",0
32,1,50,0,0.892077," ","integrate(cos(b*x^2+a)^2/x^(1/2),x, algorithm=""fricas"")","\frac{i \, \left(2 i \, b\right)^{\frac{3}{4}} e^{\left(-2 i \, a\right)} \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) - i \, \left(-2 i \, b\right)^{\frac{3}{4}} e^{\left(2 i \, a\right)} \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right) + 16 \, b \sqrt{x}}{16 \, b}"," ",0,"1/16*(I*(2*I*b)^(3/4)*e^(-2*I*a)*gamma(1/4, 2*I*b*x^2) - I*(-2*I*b)^(3/4)*e^(2*I*a)*gamma(1/4, -2*I*b*x^2) + 16*b*sqrt(x))/b","A",0
33,1,59,0,0.975365," ","integrate(cos(b*x^2+a)^2/x^(3/2),x, algorithm=""fricas"")","\frac{\left(2 i \, b\right)^{\frac{1}{4}} x e^{\left(-2 i \, a\right)} \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + \left(-2 i \, b\right)^{\frac{1}{4}} x e^{\left(2 i \, a\right)} \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right) - 4 \, \sqrt{x} \cos\left(b x^{2} + a\right)^{2}}{2 \, x}"," ",0,"1/2*((2*I*b)^(1/4)*x*e^(-2*I*a)*gamma(3/4, 2*I*b*x^2) + (-2*I*b)^(1/4)*x*e^(2*I*a)*gamma(3/4, -2*I*b*x^2) - 4*sqrt(x)*cos(b*x^2 + a)^2)/x","A",0
34,1,63,0,0.659362," ","integrate(cos(b*x^2+a)^2/x^(5/2),x, algorithm=""fricas"")","\frac{\left(2 i \, b\right)^{\frac{3}{4}} x^{2} e^{\left(-2 i \, a\right)} \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + \left(-2 i \, b\right)^{\frac{3}{4}} x^{2} e^{\left(2 i \, a\right)} \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right) - 4 \, \sqrt{x} \cos\left(b x^{2} + a\right)^{2}}{6 \, x^{2}}"," ",0,"1/6*((2*I*b)^(3/4)*x^2*e^(-2*I*a)*gamma(1/4, 2*I*b*x^2) + (-2*I*b)^(3/4)*x^2*e^(2*I*a)*gamma(1/4, -2*I*b*x^2) - 4*sqrt(x)*cos(b*x^2 + a)^2)/x^2","A",0
35,1,45,0,1.152745," ","integrate(cos(a+b/x),x, algorithm=""fricas"")","b \cos\left(a\right) \operatorname{Si}\left(\frac{b}{x}\right) + x \cos\left(\frac{a x + b}{x}\right) + \frac{1}{2} \, {\left(b \operatorname{Ci}\left(\frac{b}{x}\right) + b \operatorname{Ci}\left(-\frac{b}{x}\right)\right)} \sin\left(a\right)"," ",0,"b*cos(a)*sin_integral(b/x) + x*cos((a*x + b)/x) + 1/2*(b*cos_integral(b/x) + b*cos_integral(-b/x))*sin(a)","A",0
36,1,28,0,1.433063," ","integrate(cos(a+b/x)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(\operatorname{Ci}\left(\frac{b}{x}\right) + \operatorname{Ci}\left(-\frac{b}{x}\right)\right)} \cos\left(a\right) + \sin\left(a\right) \operatorname{Si}\left(\frac{b}{x}\right)"," ",0,"-1/2*(cos_integral(b/x) + cos_integral(-b/x))*cos(a) + sin(a)*sin_integral(b/x)","A",0
37,1,15,0,0.925033," ","integrate(cos(a+b/x)/x^2,x, algorithm=""fricas"")","-\frac{\sin\left(\frac{a x + b}{x}\right)}{b}"," ",0,"-sin((a*x + b)/x)/b","A",0
38,1,33,0,0.745500," ","integrate(cos(a+b/x)/x^3,x, algorithm=""fricas"")","-\frac{x \cos\left(\frac{a x + b}{x}\right) + b \sin\left(\frac{a x + b}{x}\right)}{b^{2} x}"," ",0,"-(x*cos((a*x + b)/x) + b*sin((a*x + b)/x))/(b^2*x)","A",0
39,1,43,0,0.713239," ","integrate(cos(a+b/x)/x^4,x, algorithm=""fricas"")","-\frac{2 \, b x \cos\left(\frac{a x + b}{x}\right) + {\left(b^{2} - 2 \, x^{2}\right)} \sin\left(\frac{a x + b}{x}\right)}{b^{3} x^{2}}"," ",0,"-(2*b*x*cos((a*x + b)/x) + (b^2 - 2*x^2)*sin((a*x + b)/x))/(b^3*x^2)","A",0
40,1,73,0,0.801558," ","integrate(cos(a+b/x^2),x, algorithm=""fricas"")","\sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) + \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) \sin\left(a\right) + x \cos\left(\frac{a x^{2} + b}{x^{2}}\right)"," ",0,"sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*sqrt(b/pi)/x) + sqrt(2)*pi*sqrt(b/pi)*fresnel_cos(sqrt(2)*sqrt(b/pi)/x)*sin(a) + x*cos((a*x^2 + b)/x^2)","A",0
41,1,29,0,0.568025," ","integrate(cos(a+b/x^2)/x,x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(\operatorname{Ci}\left(\frac{b}{x^{2}}\right) + \operatorname{Ci}\left(-\frac{b}{x^{2}}\right)\right)} \cos\left(a\right) + \frac{1}{2} \, \sin\left(a\right) \operatorname{Si}\left(\frac{b}{x^{2}}\right)"," ",0,"-1/4*(cos_integral(b/x^2) + cos_integral(-b/x^2))*cos(a) + 1/2*sin(a)*sin_integral(b/x^2)","A",0
42,1,65,0,0.694241," ","integrate(cos(a+b/x^2)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) - \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) \sin\left(a\right)}{2 \, b}"," ",0,"-1/2*(sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*sqrt(b/pi)/x) - sqrt(2)*pi*sqrt(b/pi)*fresnel_sin(sqrt(2)*sqrt(b/pi)/x)*sin(a))/b","A",0
43,1,17,0,0.992602," ","integrate(cos(a+b/x^2)/x^3,x, algorithm=""fricas"")","-\frac{\sin\left(\frac{a x^{2} + b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*sin((a*x^2 + b)/x^2)/b","A",0
44,1,84,0,0.679827," ","integrate(cos(a+b/x^2)/x^4,x, algorithm=""fricas"")","\frac{\sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) + \sqrt{2} \pi x \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} \sqrt{\frac{b}{\pi}}}{x}\right) \sin\left(a\right) - 2 \, b \sin\left(\frac{a x^{2} + b}{x^{2}}\right)}{4 \, b^{2} x}"," ",0,"1/4*(sqrt(2)*pi*x*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*sqrt(b/pi)/x) + sqrt(2)*pi*x*sqrt(b/pi)*fresnel_cos(sqrt(2)*sqrt(b/pi)/x)*sin(a) - 2*b*sin((a*x^2 + b)/x^2))/(b^2*x)","A",0
45,1,13,0,0.533553," ","integrate(cos(x^(1/2))^2/x^(1/2),x, algorithm=""fricas"")","\cos\left(\sqrt{x}\right) \sin\left(\sqrt{x}\right) + \sqrt{x}"," ",0,"cos(sqrt(x))*sin(sqrt(x)) + sqrt(x)","A",0
46,1,6,0,0.777617," ","integrate(cos(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","2 \, \sin\left(\sqrt{x}\right)"," ",0,"2*sin(sqrt(x))","A",0
47,1,16,0,0.622833," ","integrate(cos(x^(1/2)),x, algorithm=""fricas"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
48,1,24,0,1.261389," ","integrate(cos(x^(1/2))^2,x, algorithm=""fricas"")","\sqrt{x} \cos\left(\sqrt{x}\right) \sin\left(\sqrt{x}\right) + \frac{1}{2} \, \cos\left(\sqrt{x}\right)^{2} + \frac{1}{2} \, x"," ",0,"sqrt(x)*cos(sqrt(x))*sin(sqrt(x)) + 1/2*cos(sqrt(x))^2 + 1/2*x","A",0
49,1,145,0,0.597126," ","integrate(x^(3/2)*cos(a+b*x^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left(135135 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) + 135135 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) + 52 \, {\left(16 \, b^{6} x^{\frac{11}{6}} - 396 \, b^{4} x^{\frac{7}{6}} + 3465 \, b^{2} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) - 2 \, {\left(2288 \, b^{5} x^{\frac{3}{2}} - 36036 \, b^{3} x^{\frac{5}{6}} - {\left(64 \, b^{7} x^{2} - 135135 \, b\right)} x^{\frac{1}{6}}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{128 \, b^{8}}"," ",0,"3/128*(135135*sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi)) + 135135*sqrt(2)*pi*sqrt(b/pi)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) + 52*(16*b^6*x^(11/6) - 396*b^4*x^(7/6) + 3465*b^2*sqrt(x))*cos(b*x^(1/3) + a) - 2*(2288*b^5*x^(3/2) - 36036*b^3*x^(5/6) - (64*b^7*x^2 - 135135*b)*x^(1/6))*sin(b*x^(1/3) + a))/b^8","A",0
50,1,118,0,0.767873," ","integrate(x^(1/2)*cos(a+b*x^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left(105 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 105 \, \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) + 14 \, {\left(4 \, b^{3} x^{\frac{5}{6}} - 15 \, b x^{\frac{1}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) + 4 \, {\left(4 \, b^{4} x^{\frac{7}{6}} - 35 \, b^{2} \sqrt{x}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{16 \, b^{5}}"," ",0,"3/16*(105*sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi)) - 105*sqrt(2)*pi*sqrt(b/pi)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) + 14*(4*b^3*x^(5/6) - 15*b*x^(1/6))*cos(b*x^(1/3) + a) + 4*(4*b^4*x^(7/6) - 35*b^2*sqrt(x))*sin(b*x^(1/3) + a))/b^5","A",0
51,1,78,0,0.894198," ","integrate(cos(a+b*x^(1/3))/x^(1/2),x, algorithm=""fricas"")","-\frac{3 \, {\left(\sqrt{2} \pi \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) + \sqrt{2} \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) - 2 \, b x^{\frac{1}{6}} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{2 \, b^{2}}"," ",0,"-3/2*(sqrt(2)*pi*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi)) + sqrt(2)*pi*sqrt(b/pi)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) - 2*b*x^(1/6)*sin(b*x^(1/3) + a))/b^2","A",0
52,1,96,0,1.262293," ","integrate(cos(a+b*x^(1/3))/x^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \sqrt{2} \pi b x \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 2 \, \sqrt{2} \pi b x \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) - 2 \, b x^{\frac{5}{6}} \sin\left(b x^{\frac{1}{3}} + a\right) + \sqrt{x} \cos\left(b x^{\frac{1}{3}} + a\right)\right)}}{x}"," ",0,"-2*(2*sqrt(2)*pi*b*x*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi)) - 2*sqrt(2)*pi*b*x*sqrt(b/pi)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) - 2*b*x^(5/6)*sin(b*x^(1/3) + a) + sqrt(x)*cos(b*x^(1/3) + a))/x","A",0
53,1,134,0,0.808681," ","integrate(cos(a+b*x^(1/3))/x^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, \sqrt{2} \pi b^{4} x^{2} \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) + 16 \, \sqrt{2} \pi b^{4} x^{2} \sqrt{\frac{b}{\pi}} \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) + {\left(16 \, b^{4} x^{\frac{11}{6}} - 12 \, b^{2} x^{\frac{7}{6}} + 105 \, \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) + 2 \, {\left(4 \, b^{3} x^{\frac{3}{2}} - 15 \, b x^{\frac{5}{6}}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{315 \, x^{2}}"," ",0,"-2/315*(16*sqrt(2)*pi*b^4*x^2*sqrt(b/pi)*cos(a)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi)) + 16*sqrt(2)*pi*b^4*x^2*sqrt(b/pi)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) + (16*b^4*x^(11/6) - 12*b^2*x^(7/6) + 105*sqrt(x))*cos(b*x^(1/3) + a) + 2*(4*b^3*x^(3/2) - 15*b*x^(5/6))*sin(b*x^(1/3) + a))/x^2","A",0
54,1,164,0,0.650163," ","integrate(cos(a+b*x^(1/3))/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(128 \, \sqrt{2} \pi b^{7} x^{3} \sqrt{\frac{b}{\pi}} \cos\left(a\right) \operatorname{C}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 128 \, \sqrt{2} \pi b^{7} x^{3} \sqrt{\frac{b}{\pi}} \operatorname{S}\left(\sqrt{2} x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(a\right) - {\left(240 \, b^{4} x^{\frac{11}{6}} - 3780 \, b^{2} x^{\frac{7}{6}} - {\left(64 \, b^{6} x^{2} - 135135\right)} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) + 2 \, {\left(48 \, b^{5} x^{\frac{13}{6}} - 420 \, b^{3} x^{\frac{3}{2}} - {\left(64 \, b^{7} x^{2} - 10395 \, b\right)} x^{\frac{5}{6}}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{675675 \, x^{3}}"," ",0,"2/675675*(128*sqrt(2)*pi*b^7*x^3*sqrt(b/pi)*cos(a)*fresnel_cos(sqrt(2)*x^(1/6)*sqrt(b/pi)) - 128*sqrt(2)*pi*b^7*x^3*sqrt(b/pi)*fresnel_sin(sqrt(2)*x^(1/6)*sqrt(b/pi))*sin(a) - (240*b^4*x^(11/6) - 3780*b^2*x^(7/6) - (64*b^6*x^2 - 135135)*sqrt(x))*cos(b*x^(1/3) + a) + 2*(48*b^5*x^(13/6) - 420*b^3*x^(3/2) - (64*b^7*x^2 - 10395*b)*x^(5/6))*sin(b*x^(1/3) + a))/x^3","A",0
55,1,184,0,0.978853," ","integrate(x^(3/2)*cos(a+b*x^(1/3))^2,x, algorithm=""fricas"")","-\frac{399360 \, b^{6} x^{\frac{11}{6}} - 2471040 \, b^{4} x^{\frac{7}{6}} - 2027025 \, \pi \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 2027025 \, \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) - 3120 \, {\left(256 \, b^{6} x^{\frac{11}{6}} - 1584 \, b^{4} x^{\frac{7}{6}} + 3465 \, b^{2} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right)^{2} + 60 \, {\left(36608 \, b^{5} x^{\frac{3}{2}} - 144144 \, b^{3} x^{\frac{5}{6}} - {\left(4096 \, b^{7} x^{2} - 135135 \, b\right)} x^{\frac{1}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right) - 8 \, {\left(4096 \, b^{8} x^{2} - 675675 \, b^{2}\right)} \sqrt{x}}{163840 \, b^{8}}"," ",0,"-1/163840*(399360*b^6*x^(11/6) - 2471040*b^4*x^(7/6) - 2027025*pi*sqrt(b/pi)*cos(2*a)*fresnel_sin(2*x^(1/6)*sqrt(b/pi)) - 2027025*pi*sqrt(b/pi)*fresnel_cos(2*x^(1/6)*sqrt(b/pi))*sin(2*a) - 3120*(256*b^6*x^(11/6) - 1584*b^4*x^(7/6) + 3465*b^2*sqrt(x))*cos(b*x^(1/3) + a)^2 + 60*(36608*b^5*x^(3/2) - 144144*b^3*x^(5/6) - (4096*b^7*x^2 - 135135*b)*x^(1/6))*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a) - 8*(4096*b^8*x^2 - 675675*b^2)*sqrt(x))/b^8","A",0
56,1,144,0,0.732383," ","integrate(x^(1/2)*cos(a+b*x^(1/3))^2,x, algorithm=""fricas"")","\frac{512 \, b^{5} x^{\frac{3}{2}} - 2016 \, b^{3} x^{\frac{5}{6}} + 945 \, \pi \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 945 \, \pi \sqrt{\frac{b}{\pi}} \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) + 252 \, {\left(16 \, b^{3} x^{\frac{5}{6}} - 15 \, b x^{\frac{1}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right)^{2} + 144 \, {\left(16 \, b^{4} x^{\frac{7}{6}} - 35 \, b^{2} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right) + 1890 \, b x^{\frac{1}{6}}}{1536 \, b^{5}}"," ",0,"1/1536*(512*b^5*x^(3/2) - 2016*b^3*x^(5/6) + 945*pi*sqrt(b/pi)*cos(2*a)*fresnel_cos(2*x^(1/6)*sqrt(b/pi)) - 945*pi*sqrt(b/pi)*fresnel_sin(2*x^(1/6)*sqrt(b/pi))*sin(2*a) + 252*(16*b^3*x^(5/6) - 15*b*x^(1/6))*cos(b*x^(1/3) + a)^2 + 144*(16*b^4*x^(7/6) - 35*b^2*sqrt(x))*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a) + 1890*b*x^(1/6))/b^5","A",0
57,1,90,0,1.469213," ","integrate(cos(a+b*x^(1/3))^2/x^(1/2),x, algorithm=""fricas"")","-\frac{3 \, \pi \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) + 3 \, \pi \sqrt{\frac{b}{\pi}} \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) - 12 \, b x^{\frac{1}{6}} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right) - 8 \, b^{2} \sqrt{x}}{8 \, b^{2}}"," ",0,"-1/8*(3*pi*sqrt(b/pi)*cos(2*a)*fresnel_sin(2*x^(1/6)*sqrt(b/pi)) + 3*pi*sqrt(b/pi)*fresnel_cos(2*x^(1/6)*sqrt(b/pi))*sin(2*a) - 12*b*x^(1/6)*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a) - 8*b^2*sqrt(x))/b^2","A",0
58,1,100,0,0.871699," ","integrate(cos(a+b*x^(1/3))^2/x^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, \pi b x \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 4 \, \pi b x \sqrt{\frac{b}{\pi}} \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) - 4 \, b x^{\frac{5}{6}} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right) + \sqrt{x} \cos\left(b x^{\frac{1}{3}} + a\right)^{2}\right)}}{x}"," ",0,"-2*(4*pi*b*x*sqrt(b/pi)*cos(2*a)*fresnel_cos(2*x^(1/6)*sqrt(b/pi)) - 4*pi*b*x*sqrt(b/pi)*fresnel_sin(2*x^(1/6)*sqrt(b/pi))*sin(2*a) - 4*b*x^(5/6)*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a) + sqrt(x)*cos(b*x^(1/3) + a)^2)/x","A",0
59,1,154,0,0.856019," ","integrate(cos(a+b*x^(1/3))^2/x^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(256 \, \pi b^{4} x^{2} \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) + 256 \, \pi b^{4} x^{2} \sqrt{\frac{b}{\pi}} \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) - 128 \, b^{4} x^{\frac{11}{6}} + 24 \, b^{2} x^{\frac{7}{6}} + {\left(256 \, b^{4} x^{\frac{11}{6}} - 48 \, b^{2} x^{\frac{7}{6}} + 105 \, \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right)^{2} + 4 \, {\left(16 \, b^{3} x^{\frac{3}{2}} - 15 \, b x^{\frac{5}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{315 \, x^{2}}"," ",0,"-2/315*(256*pi*b^4*x^2*sqrt(b/pi)*cos(2*a)*fresnel_sin(2*x^(1/6)*sqrt(b/pi)) + 256*pi*b^4*x^2*sqrt(b/pi)*fresnel_cos(2*x^(1/6)*sqrt(b/pi))*sin(2*a) - 128*b^4*x^(11/6) + 24*b^2*x^(7/6) + (256*b^4*x^(11/6) - 48*b^2*x^(7/6) + 105*sqrt(x))*cos(b*x^(1/3) + a)^2 + 4*(16*b^3*x^(3/2) - 15*b*x^(5/6))*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a))/x^2","A",0
60,1,192,0,1.236760," ","integrate(cos(a+b*x^(1/3))^2/x^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16384 \, \pi b^{7} x^{3} \sqrt{\frac{b}{\pi}} \cos\left(2 \, a\right) \operatorname{C}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) - 16384 \, \pi b^{7} x^{3} \sqrt{\frac{b}{\pi}} \operatorname{S}\left(2 \, x^{\frac{1}{6}} \sqrt{\frac{b}{\pi}}\right) \sin\left(2 \, a\right) - 2048 \, b^{6} x^{\frac{5}{2}} + 1920 \, b^{4} x^{\frac{11}{6}} - 7560 \, b^{2} x^{\frac{7}{6}} - {\left(3840 \, b^{4} x^{\frac{11}{6}} - 15120 \, b^{2} x^{\frac{7}{6}} - {\left(4096 \, b^{6} x^{2} - 135135\right)} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right)^{2} + 4 \, {\left(768 \, b^{5} x^{\frac{13}{6}} - 1680 \, b^{3} x^{\frac{3}{2}} - {\left(4096 \, b^{7} x^{2} - 10395 \, b\right)} x^{\frac{5}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{675675 \, x^{3}}"," ",0,"2/675675*(16384*pi*b^7*x^3*sqrt(b/pi)*cos(2*a)*fresnel_cos(2*x^(1/6)*sqrt(b/pi)) - 16384*pi*b^7*x^3*sqrt(b/pi)*fresnel_sin(2*x^(1/6)*sqrt(b/pi))*sin(2*a) - 2048*b^6*x^(5/2) + 1920*b^4*x^(11/6) - 7560*b^2*x^(7/6) - (3840*b^4*x^(11/6) - 15120*b^2*x^(7/6) - (4096*b^6*x^2 - 135135)*sqrt(x))*cos(b*x^(1/3) + a)^2 + 4*(768*b^5*x^(13/6) - 1680*b^3*x^(3/2) - (4096*b^7*x^2 - 10395*b)*x^(5/6))*cos(b*x^(1/3) + a)*sin(b*x^(1/3) + a))/x^3","A",0
61,1,48,0,1.042462," ","integrate(cos(x^(1/3))^3,x, algorithm=""fricas"")","\frac{2}{3} \, x^{\frac{1}{3}} \cos\left(x^{\frac{1}{3}}\right)^{3} + \frac{1}{9} \, {\left({\left(9 \, x^{\frac{2}{3}} - 2\right)} \cos\left(x^{\frac{1}{3}}\right)^{2} + 18 \, x^{\frac{2}{3}} - 40\right)} \sin\left(x^{\frac{1}{3}}\right) + 4 \, x^{\frac{1}{3}} \cos\left(x^{\frac{1}{3}}\right)"," ",0,"2/3*x^(1/3)*cos(x^(1/3))^3 + 1/9*((9*x^(2/3) - 2)*cos(x^(1/3))^2 + 18*x^(2/3) - 40)*sin(x^(1/3)) + 4*x^(1/3)*cos(x^(1/3))","A",0
62,1,6,0,0.976618," ","integrate(cos(x^(1/6))/x^(5/6),x, algorithm=""fricas"")","6 \, \sin\left(x^{\frac{1}{6}}\right)"," ",0,"6*sin(x^(1/6))","A",0
63,0,0,0,0.657045," ","integrate((e*x)^m*(b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \left(b \cos\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^m*(b*cos(d*x^n + c))^p, x)","F",0
64,0,0,0,1.536868," ","integrate((e*x)^m*(a+b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^m*(b*cos(d*x^n + c) + a)^p, x)","F",0
65,0,0,0,1.701571," ","integrate((e*x)^(-1+n)*(b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
66,0,0,0,0.934951," ","integrate((e*x)^(-1+2*n)*(b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
67,0,0,0,0.909686," ","integrate((e*x)^(-1+n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
68,0,0,0,1.003826," ","integrate((e*x)^(-1+2*n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
69,1,35,0,1.311094," ","integrate(cos(a+b*x^n)/x,x, algorithm=""fricas"")","\frac{\cos\left(a\right) \operatorname{Ci}\left(b x^{n}\right) + \cos\left(a\right) \operatorname{Ci}\left(-b x^{n}\right) - 2 \, \sin\left(a\right) \operatorname{Si}\left(b x^{n}\right)}{2 \, n}"," ",0,"1/2*(cos(a)*cos_integral(b*x^n) + cos(a)*cos_integral(-b*x^n) - 2*sin(a)*sin_integral(b*x^n))/n","A",0
70,1,48,0,0.651919," ","integrate(cos(a+b*x^n)^2/x,x, algorithm=""fricas"")","\frac{\cos\left(2 \, a\right) \operatorname{Ci}\left(2 \, b x^{n}\right) + \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, b x^{n}\right) + 2 \, n \log\left(x\right) - 2 \, \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{n}\right)}{4 \, n}"," ",0,"1/4*(cos(2*a)*cos_integral(2*b*x^n) + cos(2*a)*cos_integral(-2*b*x^n) + 2*n*log(x) - 2*sin(2*a)*sin_integral(2*b*x^n))/n","A",0
71,1,74,0,0.820115," ","integrate(cos(a+b*x^n)^3/x,x, algorithm=""fricas"")","\frac{\cos\left(3 \, a\right) \operatorname{Ci}\left(3 \, b x^{n}\right) + 3 \, \cos\left(a\right) \operatorname{Ci}\left(b x^{n}\right) + 3 \, \cos\left(a\right) \operatorname{Ci}\left(-b x^{n}\right) + \cos\left(3 \, a\right) \operatorname{Ci}\left(-3 \, b x^{n}\right) - 2 \, \sin\left(3 \, a\right) \operatorname{Si}\left(3 \, b x^{n}\right) - 6 \, \sin\left(a\right) \operatorname{Si}\left(b x^{n}\right)}{8 \, n}"," ",0,"1/8*(cos(3*a)*cos_integral(3*b*x^n) + 3*cos(a)*cos_integral(b*x^n) + 3*cos(a)*cos_integral(-b*x^n) + cos(3*a)*cos_integral(-3*b*x^n) - 2*sin(3*a)*sin_integral(3*b*x^n) - 6*sin(a)*sin_integral(b*x^n))/n","A",0
72,1,87,0,0.900001," ","integrate(cos(a+b*x^n)^4/x,x, algorithm=""fricas"")","\frac{\cos\left(4 \, a\right) \operatorname{Ci}\left(4 \, b x^{n}\right) + 4 \, \cos\left(2 \, a\right) \operatorname{Ci}\left(2 \, b x^{n}\right) + 4 \, \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, b x^{n}\right) + \cos\left(4 \, a\right) \operatorname{Ci}\left(-4 \, b x^{n}\right) + 6 \, n \log\left(x\right) - 2 \, \sin\left(4 \, a\right) \operatorname{Si}\left(4 \, b x^{n}\right) - 8 \, \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{n}\right)}{16 \, n}"," ",0,"1/16*(cos(4*a)*cos_integral(4*b*x^n) + 4*cos(2*a)*cos_integral(2*b*x^n) + 4*cos(2*a)*cos_integral(-2*b*x^n) + cos(4*a)*cos_integral(-4*b*x^n) + 6*n*log(x) - 2*sin(4*a)*sin_integral(4*b*x^n) - 8*sin(2*a)*sin_integral(2*b*x^n))/n","A",0
73,0,0,0,1.136090," ","integrate(cos(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x^{n} + a\right), x\right)"," ",0,"integral(cos(b*x^n + a), x)","F",0
74,0,0,0,0.933784," ","integrate(cos(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(cos(b*x^n + a)^2, x)","F",0
75,0,0,0,0.814687," ","integrate(cos(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(cos(b*x^n + a)^3, x)","F",0
76,0,0,0,0.992967," ","integrate(x^m*cos(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cos\left(b x^{n} + a\right), x\right)"," ",0,"integral(x^m*cos(b*x^n + a), x)","F",0
77,0,0,0,0.941648," ","integrate(x^m*cos(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cos\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(x^m*cos(b*x^n + a)^2, x)","F",0
78,0,0,0,0.680900," ","integrate(x^m*cos(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cos\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(x^m*cos(b*x^n + a)^3, x)","F",0
79,1,62,0,0.838012," ","integrate(x^(-1-n)*cos(a+b*x^n),x, algorithm=""fricas"")","-\frac{b x^{n} \operatorname{Ci}\left(b x^{n}\right) \sin\left(a\right) + b x^{n} \operatorname{Ci}\left(-b x^{n}\right) \sin\left(a\right) + 2 \, b x^{n} \cos\left(a\right) \operatorname{Si}\left(b x^{n}\right) + 2 \, \cos\left(b x^{n} + a\right)}{2 \, n x^{n}}"," ",0,"-1/2*(b*x^n*cos_integral(b*x^n)*sin(a) + b*x^n*cos_integral(-b*x^n)*sin(a) + 2*b*x^n*cos(a)*sin_integral(b*x^n) + 2*cos(b*x^n + a))/(n*x^n)","A",0
80,1,72,0,0.961902," ","integrate(x^(-1-n)*cos(a+b*x^n)^2,x, algorithm=""fricas"")","-\frac{b x^{n} \operatorname{Ci}\left(2 \, b x^{n}\right) \sin\left(2 \, a\right) + b x^{n} \operatorname{Ci}\left(-2 \, b x^{n}\right) \sin\left(2 \, a\right) + 2 \, b x^{n} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{n}\right) + 2 \, \cos\left(b x^{n} + a\right)^{2}}{2 \, n x^{n}}"," ",0,"-1/2*(b*x^n*cos_integral(2*b*x^n)*sin(2*a) + b*x^n*cos_integral(-2*b*x^n)*sin(2*a) + 2*b*x^n*cos(2*a)*sin_integral(2*b*x^n) + 2*cos(b*x^n + a)^2)/(n*x^n)","A",0
81,1,117,0,1.037513," ","integrate(x^(-1-n)*cos(a+b*x^n)^3,x, algorithm=""fricas"")","-\frac{3 \, b x^{n} \operatorname{Ci}\left(3 \, b x^{n}\right) \sin\left(3 \, a\right) + 3 \, b x^{n} \operatorname{Ci}\left(-3 \, b x^{n}\right) \sin\left(3 \, a\right) + 3 \, b x^{n} \operatorname{Ci}\left(b x^{n}\right) \sin\left(a\right) + 3 \, b x^{n} \operatorname{Ci}\left(-b x^{n}\right) \sin\left(a\right) + 6 \, b x^{n} \cos\left(3 \, a\right) \operatorname{Si}\left(3 \, b x^{n}\right) + 6 \, b x^{n} \cos\left(a\right) \operatorname{Si}\left(b x^{n}\right) + 8 \, \cos\left(b x^{n} + a\right)^{3}}{8 \, n x^{n}}"," ",0,"-1/8*(3*b*x^n*cos_integral(3*b*x^n)*sin(3*a) + 3*b*x^n*cos_integral(-3*b*x^n)*sin(3*a) + 3*b*x^n*cos_integral(b*x^n)*sin(a) + 3*b*x^n*cos_integral(-b*x^n)*sin(a) + 6*b*x^n*cos(3*a)*sin_integral(3*b*x^n) + 6*b*x^n*cos(a)*sin_integral(b*x^n) + 8*cos(b*x^n + a)^3)/(n*x^n)","A",0
82,1,90,0,0.923386," ","integrate(x^(-1-2*n)*cos(a+b*x^n),x, algorithm=""fricas"")","-\frac{b^{2} x^{2 \, n} \cos\left(a\right) \operatorname{Ci}\left(b x^{n}\right) + b^{2} x^{2 \, n} \cos\left(a\right) \operatorname{Ci}\left(-b x^{n}\right) - 2 \, b^{2} x^{2 \, n} \sin\left(a\right) \operatorname{Si}\left(b x^{n}\right) - 2 \, b x^{n} \sin\left(b x^{n} + a\right) + 2 \, \cos\left(b x^{n} + a\right)}{4 \, n x^{2 \, n}}"," ",0,"-1/4*(b^2*x^(2*n)*cos(a)*cos_integral(b*x^n) + b^2*x^(2*n)*cos(a)*cos_integral(-b*x^n) - 2*b^2*x^(2*n)*sin(a)*sin_integral(b*x^n) - 2*b*x^n*sin(b*x^n + a) + 2*cos(b*x^n + a))/(n*x^(2*n))","A",0
83,1,106,0,0.702004," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^2,x, algorithm=""fricas"")","-\frac{b^{2} x^{2 \, n} \cos\left(2 \, a\right) \operatorname{Ci}\left(2 \, b x^{n}\right) + b^{2} x^{2 \, n} \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, b x^{n}\right) - 2 \, b^{2} x^{2 \, n} \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, b x^{n}\right) - 2 \, b x^{n} \cos\left(b x^{n} + a\right) \sin\left(b x^{n} + a\right) + \cos\left(b x^{n} + a\right)^{2}}{2 \, n x^{2 \, n}}"," ",0,"-1/2*(b^2*x^(2*n)*cos(2*a)*cos_integral(2*b*x^n) + b^2*x^(2*n)*cos(2*a)*cos_integral(-2*b*x^n) - 2*b^2*x^(2*n)*sin(2*a)*sin_integral(2*b*x^n) - 2*b*x^n*cos(b*x^n + a)*sin(b*x^n + a) + cos(b*x^n + a)^2)/(n*x^(2*n))","A",0
84,1,167,0,0.924392," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^3,x, algorithm=""fricas"")","-\frac{9 \, b^{2} x^{2 \, n} \cos\left(3 \, a\right) \operatorname{Ci}\left(3 \, b x^{n}\right) + 3 \, b^{2} x^{2 \, n} \cos\left(a\right) \operatorname{Ci}\left(b x^{n}\right) + 3 \, b^{2} x^{2 \, n} \cos\left(a\right) \operatorname{Ci}\left(-b x^{n}\right) + 9 \, b^{2} x^{2 \, n} \cos\left(3 \, a\right) \operatorname{Ci}\left(-3 \, b x^{n}\right) - 24 \, b x^{n} \cos\left(b x^{n} + a\right)^{2} \sin\left(b x^{n} + a\right) - 18 \, b^{2} x^{2 \, n} \sin\left(3 \, a\right) \operatorname{Si}\left(3 \, b x^{n}\right) - 6 \, b^{2} x^{2 \, n} \sin\left(a\right) \operatorname{Si}\left(b x^{n}\right) + 8 \, \cos\left(b x^{n} + a\right)^{3}}{16 \, n x^{2 \, n}}"," ",0,"-1/16*(9*b^2*x^(2*n)*cos(3*a)*cos_integral(3*b*x^n) + 3*b^2*x^(2*n)*cos(a)*cos_integral(b*x^n) + 3*b^2*x^(2*n)*cos(a)*cos_integral(-b*x^n) + 9*b^2*x^(2*n)*cos(3*a)*cos_integral(-3*b*x^n) - 24*b*x^n*cos(b*x^n + a)^2*sin(b*x^n + a) - 18*b^2*x^(2*n)*sin(3*a)*sin_integral(3*b*x^n) - 6*b^2*x^(2*n)*sin(a)*sin_integral(b*x^n) + 8*cos(b*x^n + a)^3)/(n*x^(2*n))","A",0
85,1,112,0,0.815449," ","integrate(x^2*cos((b*x+a)^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2} \pi a^{2} \sqrt{\frac{b^{2}}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(b x + a\right)} \sqrt{\frac{b^{2}}{\pi}}}{b}\right) - \sqrt{2} \pi \sqrt{\frac{b^{2}}{\pi}} \operatorname{S}\left(\frac{\sqrt{2} {\left(b x + a\right)} \sqrt{\frac{b^{2}}{\pi}}}{b}\right) + 2 \, {\left(b^{2} x - a b\right)} \sin\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{4 \, b^{4}}"," ",0,"1/4*(2*sqrt(2)*pi*a^2*sqrt(b^2/pi)*fresnel_cos(sqrt(2)*(b*x + a)*sqrt(b^2/pi)/b) - sqrt(2)*pi*sqrt(b^2/pi)*fresnel_sin(sqrt(2)*(b*x + a)*sqrt(b^2/pi)/b) + 2*(b^2*x - a*b)*sin(b^2*x^2 + 2*a*b*x + a^2))/b^4","A",0
86,1,63,0,0.990155," ","integrate(x*cos((b*x+a)^2),x, algorithm=""fricas"")","-\frac{\sqrt{2} \pi a \sqrt{\frac{b^{2}}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(b x + a\right)} \sqrt{\frac{b^{2}}{\pi}}}{b}\right) - b \sin\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{2 \, b^{3}}"," ",0,"-1/2*(sqrt(2)*pi*a*sqrt(b^2/pi)*fresnel_cos(sqrt(2)*(b*x + a)*sqrt(b^2/pi)/b) - b*sin(b^2*x^2 + 2*a*b*x + a^2))/b^3","A",0
87,1,40,0,0.950964," ","integrate(cos((b*x+a)^2),x, algorithm=""fricas"")","\frac{\sqrt{2} \pi \sqrt{\frac{b^{2}}{\pi}} \operatorname{C}\left(\frac{\sqrt{2} {\left(b x + a\right)} \sqrt{\frac{b^{2}}{\pi}}}{b}\right)}{2 \, b^{2}}"," ",0,"1/2*sqrt(2)*pi*sqrt(b^2/pi)*fresnel_cos(sqrt(2)*(b*x + a)*sqrt(b^2/pi)/b)/b^2","A",0
88,0,0,0,0.921001," ","integrate(cos((b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x}, x\right)"," ",0,"integral(cos(b^2*x^2 + 2*a*b*x + a^2)/x, x)","F",0
89,0,0,0,0.654990," ","integrate(cos((b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x^{2}}, x\right)"," ",0,"integral(cos(b^2*x^2 + 2*a*b*x + a^2)/x^2, x)","F",0
90,1,103,0,1.749603," ","integrate(x^2*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(b^{5} d^{2} x^{2} - 20 \, b^{3} d x - 8 \, b^{3} c + 120 \, b\right)} \sqrt{d x + c} \sin\left(\sqrt{d x + c} b + a\right) + {\left(5 \, b^{4} d^{2} x^{2} - 48 \, b^{2} c + 4 \, {\left(b^{4} c - 15 \, b^{2}\right)} d x + 120\right)} \cos\left(\sqrt{d x + c} b + a\right)\right)}}{b^{6} d^{3}}"," ",0,"2*((b^5*d^2*x^2 - 20*b^3*d*x - 8*b^3*c + 120*b)*sqrt(d*x + c)*sin(sqrt(d*x + c)*b + a) + (5*b^4*d^2*x^2 - 48*b^2*c + 4*(b^4*c - 15*b^2)*d*x + 120)*cos(sqrt(d*x + c)*b + a))/(b^6*d^3)","A",0
91,1,67,0,0.795875," ","integrate(x*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(b^{3} d x - 6 \, b\right)} \sqrt{d x + c} \sin\left(\sqrt{d x + c} b + a\right) + {\left(3 \, b^{2} d x + 2 \, b^{2} c - 6\right)} \cos\left(\sqrt{d x + c} b + a\right)\right)}}{b^{4} d^{2}}"," ",0,"2*((b^3*d*x - 6*b)*sqrt(d*x + c)*sin(sqrt(d*x + c)*b + a) + (3*b^2*d*x + 2*b^2*c - 6)*cos(sqrt(d*x + c)*b + a))/(b^4*d^2)","A",0
92,1,42,0,0.916177," ","integrate(cos(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{d x + c} b \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)}}{b^{2} d}"," ",0,"2*(sqrt(d*x + c)*b*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))/(b^2*d)","A",0
93,1,149,0,0.923611," ","integrate(cos(a+b*(d*x+c)^(1/2))/x,x, algorithm=""fricas"")","\frac{1}{2} \, {\rm Ei}\left(i \, \sqrt{d x + c} b - \sqrt{-b^{2} c}\right) e^{\left(i \, a + \sqrt{-b^{2} c}\right)} + \frac{1}{2} \, {\rm Ei}\left(i \, \sqrt{d x + c} b + \sqrt{-b^{2} c}\right) e^{\left(i \, a - \sqrt{-b^{2} c}\right)} + \frac{1}{2} \, {\rm Ei}\left(-i \, \sqrt{d x + c} b - \sqrt{-b^{2} c}\right) e^{\left(-i \, a + \sqrt{-b^{2} c}\right)} + \frac{1}{2} \, {\rm Ei}\left(-i \, \sqrt{d x + c} b + \sqrt{-b^{2} c}\right) e^{\left(-i \, a - \sqrt{-b^{2} c}\right)}"," ",0,"1/2*Ei(I*sqrt(d*x + c)*b - sqrt(-b^2*c))*e^(I*a + sqrt(-b^2*c)) + 1/2*Ei(I*sqrt(d*x + c)*b + sqrt(-b^2*c))*e^(I*a - sqrt(-b^2*c)) + 1/2*Ei(-I*sqrt(d*x + c)*b - sqrt(-b^2*c))*e^(-I*a + sqrt(-b^2*c)) + 1/2*Ei(-I*sqrt(d*x + c)*b + sqrt(-b^2*c))*e^(-I*a - sqrt(-b^2*c))","C",0
94,1,210,0,0.975398," ","integrate(cos(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""fricas"")","\frac{\sqrt{-b^{2} c} d x {\rm Ei}\left(i \, \sqrt{d x + c} b - \sqrt{-b^{2} c}\right) e^{\left(i \, a + \sqrt{-b^{2} c}\right)} - \sqrt{-b^{2} c} d x {\rm Ei}\left(i \, \sqrt{d x + c} b + \sqrt{-b^{2} c}\right) e^{\left(i \, a - \sqrt{-b^{2} c}\right)} + \sqrt{-b^{2} c} d x {\rm Ei}\left(-i \, \sqrt{d x + c} b - \sqrt{-b^{2} c}\right) e^{\left(-i \, a + \sqrt{-b^{2} c}\right)} - \sqrt{-b^{2} c} d x {\rm Ei}\left(-i \, \sqrt{d x + c} b + \sqrt{-b^{2} c}\right) e^{\left(-i \, a - \sqrt{-b^{2} c}\right)} - 4 \, c \cos\left(\sqrt{d x + c} b + a\right)}{4 \, c x}"," ",0,"1/4*(sqrt(-b^2*c)*d*x*Ei(I*sqrt(d*x + c)*b - sqrt(-b^2*c))*e^(I*a + sqrt(-b^2*c)) - sqrt(-b^2*c)*d*x*Ei(I*sqrt(d*x + c)*b + sqrt(-b^2*c))*e^(I*a - sqrt(-b^2*c)) + sqrt(-b^2*c)*d*x*Ei(-I*sqrt(d*x + c)*b - sqrt(-b^2*c))*e^(-I*a + sqrt(-b^2*c)) - sqrt(-b^2*c)*d*x*Ei(-I*sqrt(d*x + c)*b + sqrt(-b^2*c))*e^(-I*a - sqrt(-b^2*c)) - 4*c*cos(sqrt(d*x + c)*b + a))/(c*x)","C",0
95,1,182,0,0.951068," ","integrate(x^2*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, {\left(3360 \, b^{3} d x + 3240 \, b^{3} c - 12 \, {\left(14 \, b^{5} d x + 9 \, b^{5} c\right)} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(4 \, b^{7} d^{2} x^{2} + 3 \, b^{7} c d x - 20160 \, b\right)} {\left(d x + c\right)}^{\frac{1}{3}}\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left(56 \, b^{6} d^{2} x^{2} + 72 \, b^{6} c d x + 18 \, b^{6} c^{2} - {\left(b^{8} d^{2} x^{2} - 20160 \, b^{2}\right)} {\left(d x + c\right)}^{\frac{2}{3}} - 240 \, {\left(7 \, b^{4} d x + 6 \, b^{4} c\right)} {\left(d x + c\right)}^{\frac{1}{3}} - 40320\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{9} d^{3}}"," ",0,"3*(2*(3360*b^3*d*x + 3240*b^3*c - 12*(14*b^5*d*x + 9*b^5*c)*(d*x + c)^(2/3) + (4*b^7*d^2*x^2 + 3*b^7*c*d*x - 20160*b)*(d*x + c)^(1/3))*cos((d*x + c)^(1/3)*b + a) - (56*b^6*d^2*x^2 + 72*b^6*c*d*x + 18*b^6*c^2 - (b^8*d^2*x^2 - 20160*b^2)*(d*x + c)^(2/3) - 240*(7*b^4*d*x + 6*b^4*c)*(d*x + c)^(1/3) - 40320)*sin((d*x + c)^(1/3)*b + a))/(b^9*d^3)","A",0
96,1,110,0,0.772599," ","integrate(x*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","-\frac{3 \, {\left({\left(60 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} - {\left(5 \, b^{4} d x + 3 \, b^{4} c\right)} {\left(d x + c\right)}^{\frac{1}{3}} - 120\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{5} d x - 20 \, b^{3} d x - 18 \, b^{3} c + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{6} d^{2}}"," ",0,"-3*((60*(d*x + c)^(2/3)*b^2 - (5*b^4*d*x + 3*b^4*c)*(d*x + c)^(1/3) - 120)*cos((d*x + c)^(1/3)*b + a) - ((d*x + c)^(2/3)*b^5*d*x - 20*b^3*d*x - 18*b^3*c + 120*(d*x + c)^(1/3)*b)*sin((d*x + c)^(1/3)*b + a))/(b^6*d^2)","A",0
97,1,57,0,1.093157," ","integrate(cos(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} b \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{3} d}"," ",0,"3*(2*(d*x + c)^(1/3)*b*cos((d*x + c)^(1/3)*b + a) + ((d*x + c)^(2/3)*b^2 - 2)*sin((d*x + c)^(1/3)*b + a))/(b^3*d)","A",0
98,1,287,0,1.089263," ","integrate(cos(a+b*(d*x+c)^(1/3))/x,x, algorithm=""fricas"")","\frac{1}{2} \, {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} + i \, a\right)} + \frac{1}{2} \, {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - i \, a\right)} + \frac{1}{2} \, {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + i \, a\right)} + \frac{1}{2} \, {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - i \, a\right)} + \frac{1}{2} \, {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \left(i \, b^{3} c\right)^{\frac{1}{3}}\right) e^{\left(i \, a - \left(i \, b^{3} c\right)^{\frac{1}{3}}\right)} + \frac{1}{2} \, {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \left(-i \, b^{3} c\right)^{\frac{1}{3}}\right) e^{\left(-i \, a - \left(-i \, b^{3} c\right)^{\frac{1}{3}}\right)}"," ",0,"1/2*Ei(I*(d*x + c)^(1/3)*b + 1/2*(I*b^3*c)^(1/3)*(-I*sqrt(3) - 1))*e^(1/2*(I*b^3*c)^(1/3)*(I*sqrt(3) + 1) + I*a) + 1/2*Ei(-I*(d*x + c)^(1/3)*b + 1/2*(-I*b^3*c)^(1/3)*(-I*sqrt(3) - 1))*e^(1/2*(-I*b^3*c)^(1/3)*(I*sqrt(3) + 1) - I*a) + 1/2*Ei(I*(d*x + c)^(1/3)*b + 1/2*(I*b^3*c)^(1/3)*(I*sqrt(3) - 1))*e^(1/2*(I*b^3*c)^(1/3)*(-I*sqrt(3) + 1) + I*a) + 1/2*Ei(-I*(d*x + c)^(1/3)*b + 1/2*(-I*b^3*c)^(1/3)*(I*sqrt(3) - 1))*e^(1/2*(-I*b^3*c)^(1/3)*(-I*sqrt(3) + 1) - I*a) + 1/2*Ei(I*(d*x + c)^(1/3)*b + (I*b^3*c)^(1/3))*e^(I*a - (I*b^3*c)^(1/3)) + 1/2*Ei(-I*(d*x + c)^(1/3)*b + (-I*b^3*c)^(1/3))*e^(-I*a - (-I*b^3*c)^(1/3))","C",0
99,1,406,0,0.790620," ","integrate(cos(a+b*(d*x+c)^(1/3))/x^2,x, algorithm=""fricas"")","-\frac{2 \, \left(i \, b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \left(i \, b^{3} c\right)^{\frac{1}{3}}\right) e^{\left(i \, a - \left(i \, b^{3} c\right)^{\frac{1}{3}}\right)} + 2 \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \left(-i \, b^{3} c\right)^{\frac{1}{3}}\right) e^{\left(-i \, a - \left(-i \, b^{3} c\right)^{\frac{1}{3}}\right)} - \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} d x + d x\right)} {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} + i \, a\right)} - \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} d x + d x\right)} {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} + 1\right)} - i \, a\right)} - \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} d x + d x\right)} {\rm Ei}\left(i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} + i \, a\right)} - \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} d x + d x\right)} {\rm Ei}\left(-i \, {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(i \, \sqrt{3} - 1\right)}\right) e^{\left(\frac{1}{2} \, \left(-i \, b^{3} c\right)^{\frac{1}{3}} {\left(-i \, \sqrt{3} + 1\right)} - i \, a\right)} + 12 \, c \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{12 \, c x}"," ",0,"-1/12*(2*(I*b^3*c)^(1/3)*d*x*Ei(I*(d*x + c)^(1/3)*b + (I*b^3*c)^(1/3))*e^(I*a - (I*b^3*c)^(1/3)) + 2*(-I*b^3*c)^(1/3)*d*x*Ei(-I*(d*x + c)^(1/3)*b + (-I*b^3*c)^(1/3))*e^(-I*a - (-I*b^3*c)^(1/3)) - (I*b^3*c)^(1/3)*(I*sqrt(3)*d*x + d*x)*Ei(I*(d*x + c)^(1/3)*b + 1/2*(I*b^3*c)^(1/3)*(-I*sqrt(3) - 1))*e^(1/2*(I*b^3*c)^(1/3)*(I*sqrt(3) + 1) + I*a) - (-I*b^3*c)^(1/3)*(I*sqrt(3)*d*x + d*x)*Ei(-I*(d*x + c)^(1/3)*b + 1/2*(-I*b^3*c)^(1/3)*(-I*sqrt(3) - 1))*e^(1/2*(-I*b^3*c)^(1/3)*(I*sqrt(3) + 1) - I*a) - (I*b^3*c)^(1/3)*(-I*sqrt(3)*d*x + d*x)*Ei(I*(d*x + c)^(1/3)*b + 1/2*(I*b^3*c)^(1/3)*(I*sqrt(3) - 1))*e^(1/2*(I*b^3*c)^(1/3)*(-I*sqrt(3) + 1) + I*a) - (-I*b^3*c)^(1/3)*(-I*sqrt(3)*d*x + d*x)*Ei(-I*(d*x + c)^(1/3)*b + 1/2*(-I*b^3*c)^(1/3)*(I*sqrt(3) - 1))*e^(1/2*(-I*b^3*c)^(1/3)*(-I*sqrt(3) + 1) - I*a) + 12*c*cos((d*x + c)^(1/3)*b + a))/(c*x)","C",0
