1,1,27,0,0.376179," ","integrate(x^3*cos(b*x^2+a),x, algorithm=""giac"")","\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
2,1,135,0,0.540075," ","integrate(x^2*cos(b*x^2+a),x, algorithm=""giac"")","-\frac{i \, x e^{\left(i \, b x^{2} + i \, a\right)}}{4 \, b} + \frac{i \, x e^{\left(-i \, b x^{2} - i \, a\right)}}{4 \, b} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{8 \, b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{8 \, b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}}"," ",0,"-1/4*I*x*e^(I*b*x^2 + I*a)/b + 1/4*I*x*e^(-I*b*x^2 - I*a)/b - 1/8*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + 1/8*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b)))","C",0
3,1,13,0,0.380274," ","integrate(x*cos(b*x^2+a),x, algorithm=""giac"")","\frac{\sin\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*sin(b*x^2 + a)/b","A",0
4,1,95,0,0.393785," ","integrate(cos(b*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{4 \, {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{4 \, {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}}"," ",0,"-1/4*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/((-I*b/abs(b) + 1)*sqrt(abs(b))) - 1/4*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/((I*b/abs(b) + 1)*sqrt(abs(b)))","C",0
5,1,21,0,0.417633," ","integrate(cos(b*x^2+a)/x,x, algorithm=""giac"")","\frac{1}{2} \, \cos\left(a\right) \operatorname{Ci}\left(b x^{2}\right) - \frac{1}{2} \, \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right)"," ",0,"1/2*cos(a)*cos_integral(b*x^2) - 1/2*sin(a)*sin_integral(b*x^2)","A",0
6,0,0,0,0.000000," ","integrate(cos(b*x^2+a)/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)/x^2, x)","F",0
7,1,87,0,0.487306," ","integrate(cos(b*x^2+a)/x^3,x, algorithm=""giac"")","-\frac{{\left(b x^{2} + a\right)} b^{2} \operatorname{Ci}\left(b x^{2}\right) \sin\left(a\right) - a b^{2} \operatorname{Ci}\left(b x^{2}\right) \sin\left(a\right) + {\left(b x^{2} + a\right)} b^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) - a b^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) + b^{2} \cos\left(b x^{2} + a\right)}{2 \, b^{2} x^{2}}"," ",0,"-1/2*((b*x^2 + a)*b^2*cos_integral(b*x^2)*sin(a) - a*b^2*cos_integral(b*x^2)*sin(a) + (b*x^2 + a)*b^2*cos(a)*sin_integral(b*x^2) - a*b^2*cos(a)*sin_integral(b*x^2) + b^2*cos(b*x^2 + a))/(b^2*x^2)","B",0
8,1,55,0,0.429434," ","integrate(x^3*cos(b*x^2+a)^2,x, algorithm=""giac"")","\frac{2 \, b x^{2} \sin\left(2 \, b x^{2} + 2 \, a\right) + 2 \, {\left(b x^{2} + a\right)}^{2} - 4 \, {\left(b x^{2} + a\right)} a + \cos\left(2 \, b x^{2} + 2 \, a\right)}{16 \, b^{2}}"," ",0,"1/16*(2*b*x^2*sin(2*b*x^2 + 2*a) + 2*(b*x^2 + a)^2 - 4*(b*x^2 + a)*a + cos(2*b*x^2 + 2*a))/b^2","A",0
9,1,118,0,0.823742," ","integrate(x^2*cos(b*x^2+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{i \, x e^{\left(2 i \, b x^{2} + 2 i \, a\right)}}{16 \, b} + \frac{i \, x e^{\left(-2 i \, b x^{2} - 2 i \, a\right)}}{16 \, b} - \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(2 i \, a\right)}}{32 \, b^{\frac{3}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} + \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-2 i \, a\right)}}{32 \, b^{\frac{3}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/6*x^3 - 1/16*I*x*e^(2*I*b*x^2 + 2*I*a)/b + 1/16*I*x*e^(-2*I*b*x^2 - 2*I*a)/b - 1/32*I*sqrt(pi)*erf(-sqrt(b)*x*(-I*b/abs(b) + 1))*e^(2*I*a)/(b^(3/2)*(-I*b/abs(b) + 1)) + 1/32*I*sqrt(pi)*erf(-sqrt(b)*x*(I*b/abs(b) + 1))*e^(-2*I*a)/(b^(3/2)*(I*b/abs(b) + 1))","C",0
10,1,26,0,0.399764," ","integrate(x*cos(b*x^2+a)^2,x, algorithm=""giac"")","\frac{2 \, b x^{2} + 2 \, a + \sin\left(2 \, b x^{2} + 2 \, a\right)}{8 \, b}"," ",0,"1/8*(2*b*x^2 + 2*a + sin(2*b*x^2 + 2*a))/b","A",0
11,1,82,0,0.315358," ","integrate(cos(b*x^2+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(2 i \, a\right)}}{8 \, \sqrt{b} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-2 i \, a\right)}}{8 \, \sqrt{b} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/2*x - 1/8*sqrt(pi)*erf(-sqrt(b)*x*(-I*b/abs(b) + 1))*e^(2*I*a)/(sqrt(b)*(-I*b/abs(b) + 1)) - 1/8*sqrt(pi)*erf(-sqrt(b)*x*(I*b/abs(b) + 1))*e^(-2*I*a)/(sqrt(b)*(I*b/abs(b) + 1))","C",0
12,1,35,0,0.410013," ","integrate(cos(b*x^2+a)^2/x,x, algorithm=""giac"")","\frac{1}{4} \, \cos\left(2 \, a\right) \operatorname{Ci}\left(2 \, b x^{2}\right) + \frac{1}{4} \, \sin\left(2 \, a\right) \operatorname{Si}\left(-2 \, b x^{2}\right) + \frac{1}{4} \, \log\left(b x^{2}\right)"," ",0,"1/4*cos(2*a)*cos_integral(2*b*x^2) + 1/4*sin(2*a)*sin_integral(-2*b*x^2) + 1/4*log(b*x^2)","A",0
13,0,0,0,0.000000," ","integrate(cos(b*x^2+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)^2/x^2, x)","F",0
14,1,107,0,0.397909," ","integrate(cos(b*x^2+a)^2/x^3,x, algorithm=""giac"")","-\frac{2 \, {\left(b x^{2} + a\right)} b^{2} \operatorname{Ci}\left(2 \, b x^{2}\right) \sin\left(2 \, a\right) - 2 \, a b^{2} \operatorname{Ci}\left(2 \, b x^{2}\right) \sin\left(2 \, a\right) - 2 \, {\left(b x^{2} + a\right)} b^{2} \cos\left(2 \, a\right) \operatorname{Si}\left(-2 \, b x^{2}\right) + 2 \, a b^{2} \cos\left(2 \, a\right) \operatorname{Si}\left(-2 \, b x^{2}\right) + b^{2} \cos\left(2 \, b x^{2} + 2 \, a\right) + b^{2}}{4 \, b^{2} x^{2}}"," ",0,"-1/4*(2*(b*x^2 + a)*b^2*cos_integral(2*b*x^2)*sin(2*a) - 2*a*b^2*cos_integral(2*b*x^2)*sin(2*a) - 2*(b*x^2 + a)*b^2*cos(2*a)*sin_integral(-2*b*x^2) + 2*a*b^2*cos(2*a)*sin_integral(-2*b*x^2) + b^2*cos(2*b*x^2 + 2*a) + b^2)/(b^2*x^2)","B",0
15,1,58,0,0.365544," ","integrate(x^3*cos(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, b x^{2} \sin\left(3 \, b x^{2} + 3 \, a\right) + 27 \, b x^{2} \sin\left(b x^{2} + a\right) + \cos\left(3 \, b x^{2} + 3 \, a\right) + 27 \, \cos\left(b x^{2} + a\right)}{72 \, b^{2}}"," ",0,"1/72*(3*b*x^2*sin(3*b*x^2 + 3*a) + 27*b*x^2*sin(b*x^2 + a) + cos(3*b*x^2 + 3*a) + 27*cos(b*x^2 + a))/b^2","A",0
16,1,259,0,0.521832," ","integrate(x^2*cos(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{i \, x e^{\left(3 i \, b x^{2} + 3 i \, a\right)}}{48 \, b} - \frac{3 i \, x e^{\left(i \, b x^{2} + i \, a\right)}}{16 \, b} + \frac{3 i \, x e^{\left(-i \, b x^{2} - i \, a\right)}}{16 \, b} + \frac{i \, x e^{\left(-3 i \, b x^{2} - 3 i \, a\right)}}{48 \, b} - \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(3 i \, a\right)}}{288 \, b^{\frac{3}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{32 \, b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{32 \, b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-3 i \, a\right)}}{288 \, b^{\frac{3}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"-1/48*I*x*e^(3*I*b*x^2 + 3*I*a)/b - 3/16*I*x*e^(I*b*x^2 + I*a)/b + 3/16*I*x*e^(-I*b*x^2 - I*a)/b + 1/48*I*x*e^(-3*I*b*x^2 - 3*I*a)/b - 1/288*I*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(-I*b/abs(b) + 1))*e^(3*I*a)/(b^(3/2)*(-I*b/abs(b) + 1)) - 3/32*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + 3/32*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 1/288*I*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(I*b/abs(b) + 1))*e^(-3*I*a)/(b^(3/2)*(I*b/abs(b) + 1))","C",0
17,1,26,0,0.368904," ","integrate(x*cos(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{\sin\left(b x^{2} + a\right)^{3} - 3 \, \sin\left(b x^{2} + a\right)}{6 \, b}"," ",0,"-1/6*(sin(b*x^2 + a)^3 - 3*sin(b*x^2 + a))/b","A",0
18,1,185,0,0.599706," ","integrate(cos(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(3 i \, a\right)}}{48 \, \sqrt{b} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{16 \, {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{16 \, {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-3 i \, a\right)}}{48 \, \sqrt{b} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"-1/48*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(-I*b/abs(b) + 1))*e^(3*I*a)/(sqrt(b)*(-I*b/abs(b) + 1)) - 3/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/((-I*b/abs(b) + 1)*sqrt(abs(b))) - 3/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/((I*b/abs(b) + 1)*sqrt(abs(b))) - 1/48*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(I*b/abs(b) + 1))*e^(-3*I*a)/(sqrt(b)*(I*b/abs(b) + 1))","C",0
19,1,47,0,0.608213," ","integrate(cos(b*x^2+a)^3/x,x, algorithm=""giac"")","\frac{1}{8} \, \cos\left(3 \, a\right) \operatorname{Ci}\left(3 \, b x^{2}\right) + \frac{3}{8} \, \cos\left(a\right) \operatorname{Ci}\left(b x^{2}\right) - \frac{3}{8} \, \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right) + \frac{1}{8} \, \sin\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right)"," ",0,"1/8*cos(3*a)*cos_integral(3*b*x^2) + 3/8*cos(a)*cos_integral(b*x^2) - 3/8*sin(a)*sin_integral(b*x^2) + 1/8*sin(3*a)*sin_integral(-3*b*x^2)","A",0
20,0,0,0,0.000000," ","integrate(cos(b*x^2+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)^3/x^2, x)","F",0
21,1,185,0,0.463272," ","integrate(cos(b*x^2+a)^3/x^3,x, algorithm=""giac"")","-\frac{3 \, {\left(b x^{2} + a\right)} b^{2} \operatorname{Ci}\left(3 \, b x^{2}\right) \sin\left(3 \, a\right) - 3 \, a b^{2} \operatorname{Ci}\left(3 \, b x^{2}\right) \sin\left(3 \, a\right) + 3 \, {\left(b x^{2} + a\right)} b^{2} \operatorname{Ci}\left(b x^{2}\right) \sin\left(a\right) - 3 \, a b^{2} \operatorname{Ci}\left(b x^{2}\right) \sin\left(a\right) + 3 \, {\left(b x^{2} + a\right)} b^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) - 3 \, a b^{2} \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) - 3 \, {\left(b x^{2} + a\right)} b^{2} \cos\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right) + 3 \, a b^{2} \cos\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right) + b^{2} \cos\left(3 \, b x^{2} + 3 \, a\right) + 3 \, b^{2} \cos\left(b x^{2} + a\right)}{8 \, b^{2} x^{2}}"," ",0,"-1/8*(3*(b*x^2 + a)*b^2*cos_integral(3*b*x^2)*sin(3*a) - 3*a*b^2*cos_integral(3*b*x^2)*sin(3*a) + 3*(b*x^2 + a)*b^2*cos_integral(b*x^2)*sin(a) - 3*a*b^2*cos_integral(b*x^2)*sin(a) + 3*(b*x^2 + a)*b^2*cos(a)*sin_integral(b*x^2) - 3*a*b^2*cos(a)*sin_integral(b*x^2) - 3*(b*x^2 + a)*b^2*cos(3*a)*sin_integral(-3*b*x^2) + 3*a*b^2*cos(3*a)*sin_integral(-3*b*x^2) + b^2*cos(3*b*x^2 + 3*a) + 3*b^2*cos(b*x^2 + a))/(b^2*x^2)","B",0
22,1,52,0,0.372992," ","integrate(x*cos(b*x^2+a)^7,x, algorithm=""giac"")","-\frac{5 \, \sin\left(b x^{2} + a\right)^{7} - 21 \, \sin\left(b x^{2} + a\right)^{5} + 35 \, \sin\left(b x^{2} + a\right)^{3} - 35 \, \sin\left(b x^{2} + a\right)}{70 \, b}"," ",0,"-1/70*(5*sin(b*x^2 + a)^7 - 21*sin(b*x^2 + a)^5 + 35*sin(b*x^2 + a)^3 - 35*sin(b*x^2 + a))/b","A",0
23,0,0,0,0.000000," ","integrate(x^(5/2)*cos(b*x^2+a),x, algorithm=""giac"")","\int x^{\frac{5}{2}} \cos\left(b x^{2} + a\right)\,{d x}"," ",0,"integrate(x^(5/2)*cos(b*x^2 + a), x)","F",0
24,0,0,0,0.000000," ","integrate(x^(3/2)*cos(b*x^2+a),x, algorithm=""giac"")","\int x^{\frac{3}{2}} \cos\left(b x^{2} + a\right)\,{d x}"," ",0,"integrate(x^(3/2)*cos(b*x^2 + a), x)","F",0
25,0,0,0,0.000000," ","integrate(x^(1/2)*cos(b*x^2+a),x, algorithm=""giac"")","\int \sqrt{x} \cos\left(b x^{2} + a\right)\,{d x}"," ",0,"integrate(sqrt(x)*cos(b*x^2 + a), x)","F",0
26,0,0,0,0.000000," ","integrate(cos(b*x^2+a)/x^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)}{\sqrt{x}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)/sqrt(x), x)","F",0
27,0,0,0,0.000000," ","integrate(cos(b*x^2+a)/x^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)/x^(3/2), x)","F",0
28,0,0,0,0.000000," ","integrate(cos(b*x^2+a)/x^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)/x^(5/2), x)","F",0
29,0,0,0,0.000000," ","integrate(x^(5/2)*cos(b*x^2+a)^2,x, algorithm=""giac"")","\int x^{\frac{5}{2}} \cos\left(b x^{2} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(5/2)*cos(b*x^2 + a)^2, x)","F",0
30,0,0,0,0.000000," ","integrate(x^(3/2)*cos(b*x^2+a)^2,x, algorithm=""giac"")","\int x^{\frac{3}{2}} \cos\left(b x^{2} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(3/2)*cos(b*x^2 + a)^2, x)","F",0
31,0,0,0,0.000000," ","integrate(x^(1/2)*cos(b*x^2+a)^2,x, algorithm=""giac"")","\int \sqrt{x} \cos\left(b x^{2} + a\right)^{2}\,{d x}"," ",0,"integrate(sqrt(x)*cos(b*x^2 + a)^2, x)","F",0
32,0,0,0,0.000000," ","integrate(cos(b*x^2+a)^2/x^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)^{2}}{\sqrt{x}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)^2/sqrt(x), x)","F",0
33,0,0,0,0.000000," ","integrate(cos(b*x^2+a)^2/x^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)^{2}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)^2/x^(3/2), x)","F",0
34,0,0,0,0.000000," ","integrate(cos(b*x^2+a)^2/x^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{2} + a\right)^{2}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^2 + a)^2/x^(5/2), x)","F",0
35,1,132,0,0.344808," ","integrate(cos(a+b/x),x, algorithm=""giac"")","\frac{a b^{2} \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right) - a b^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right) - \frac{{\left(a x + b\right)} b^{2} \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right)}{x} + \frac{{\left(a x + b\right)} b^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x} - b^{2} \cos\left(\frac{a x + b}{x}\right)}{{\left(a - \frac{a x + b}{x}\right)} b}"," ",0,"(a*b^2*cos_integral(-a + (a*x + b)/x)*sin(a) - a*b^2*cos(a)*sin_integral(a - (a*x + b)/x) - (a*x + b)*b^2*cos_integral(-a + (a*x + b)/x)*sin(a)/x + (a*x + b)*b^2*cos(a)*sin_integral(a - (a*x + b)/x)/x - b^2*cos((a*x + b)/x))/((a - (a*x + b)/x)*b)","B",0
36,1,41,0,0.413391," ","integrate(cos(a+b/x)/x,x, algorithm=""giac"")","-\frac{b \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) + b \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{b}"," ",0,"-(b*cos(a)*cos_integral(-a + (a*x + b)/x) + b*sin(a)*sin_integral(a - (a*x + b)/x))/b","B",0
37,1,15,0,0.355999," ","integrate(cos(a+b/x)/x^2,x, algorithm=""giac"")","-\frac{\sin\left(\frac{a x + b}{x}\right)}{b}"," ",0,"-sin((a*x + b)/x)/b","A",0
38,1,49,0,0.392514," ","integrate(cos(a+b/x)/x^3,x, algorithm=""giac"")","\frac{a \sin\left(\frac{a x + b}{x}\right) - \frac{{\left(a x + b\right)} \sin\left(\frac{a x + b}{x}\right)}{x} - \cos\left(\frac{a x + b}{x}\right)}{b^{2}}"," ",0,"(a*sin((a*x + b)/x) - (a*x + b)*sin((a*x + b)/x)/x - cos((a*x + b)/x))/b^2","A",0
39,1,107,0,0.428442," ","integrate(cos(a+b/x)/x^4,x, algorithm=""giac"")","-\frac{a^{2} \sin\left(\frac{a x + b}{x}\right) - 2 \, a \cos\left(\frac{a x + b}{x}\right) - \frac{2 \, {\left(a x + b\right)} a \sin\left(\frac{a x + b}{x}\right)}{x} + \frac{2 \, {\left(a x + b\right)} \cos\left(\frac{a x + b}{x}\right)}{x} + \frac{{\left(a x + b\right)}^{2} \sin\left(\frac{a x + b}{x}\right)}{x^{2}} - 2 \, \sin\left(\frac{a x + b}{x}\right)}{b^{3}}"," ",0,"-(a^2*sin((a*x + b)/x) - 2*a*cos((a*x + b)/x) - 2*(a*x + b)*a*sin((a*x + b)/x)/x + 2*(a*x + b)*cos((a*x + b)/x)/x + (a*x + b)^2*sin((a*x + b)/x)/x^2 - 2*sin((a*x + b)/x))/b^3","B",0
40,0,0,0,0.000000," ","integrate(cos(a+b/x^2),x, algorithm=""giac"")","\int \cos\left(a + \frac{b}{x^{2}}\right)\,{d x}"," ",0,"integrate(cos(a + b/x^2), x)","F",0
41,0,0,0,0.000000," ","integrate(cos(a+b/x^2)/x,x, algorithm=""giac"")","\int \frac{\cos\left(a + \frac{b}{x^{2}}\right)}{x}\,{d x}"," ",0,"integrate(cos(a + b/x^2)/x, x)","F",0
42,0,0,0,0.000000," ","integrate(cos(a+b/x^2)/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(a + \frac{b}{x^{2}}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(a + b/x^2)/x^2, x)","F",0
43,0,0,0,0.000000," ","integrate(cos(a+b/x^2)/x^3,x, algorithm=""giac"")","\int \frac{\cos\left(a + \frac{b}{x^{2}}\right)}{x^{3}}\,{d x}"," ",0,"integrate(cos(a + b/x^2)/x^3, x)","F",0
44,0,0,0,0.000000," ","integrate(cos(a+b/x^2)/x^4,x, algorithm=""giac"")","\int \frac{\cos\left(a + \frac{b}{x^{2}}\right)}{x^{4}}\,{d x}"," ",0,"integrate(cos(a + b/x^2)/x^4, x)","F",0
45,1,12,0,0.379259," ","integrate(cos(x^(1/2))^2/x^(1/2),x, algorithm=""giac"")","\sqrt{x} + \frac{1}{2} \, \sin\left(2 \, \sqrt{x}\right)"," ",0,"sqrt(x) + 1/2*sin(2*sqrt(x))","A",0
46,1,6,0,0.381773," ","integrate(cos(x^(1/2))/x^(1/2),x, algorithm=""giac"")","2 \, \sin\left(\sqrt{x}\right)"," ",0,"2*sin(sqrt(x))","A",0
47,1,16,0,0.488886," ","integrate(cos(x^(1/2)),x, algorithm=""giac"")","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
48,1,23,0,0.406328," ","integrate(cos(x^(1/2))^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x} \sin\left(2 \, \sqrt{x}\right) + \frac{1}{2} \, x + \frac{1}{4} \, \cos\left(2 \, \sqrt{x}\right)"," ",0,"1/2*sqrt(x)*sin(2*sqrt(x)) + 1/2*x + 1/4*cos(2*sqrt(x))","A",0
49,1,241,0,2.210019," ","integrate(x^(3/2)*cos(a+b*x^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(64 i \, b^{6} x^{\frac{13}{6}} - 416 \, b^{5} x^{\frac{11}{6}} - 2288 i \, b^{4} x^{\frac{3}{2}} + 10296 \, b^{3} x^{\frac{7}{6}} + 36036 i \, b^{2} x^{\frac{5}{6}} - 90090 \, b \sqrt{x} - 135135 i \, x^{\frac{1}{6}}\right)} e^{\left(i \, b x^{\frac{1}{3}} + i \, a\right)}}{128 \, b^{7}} - \frac{3 \, {\left(-64 i \, b^{6} x^{\frac{13}{6}} - 416 \, b^{5} x^{\frac{11}{6}} + 2288 i \, b^{4} x^{\frac{3}{2}} + 10296 \, b^{3} x^{\frac{7}{6}} - 36036 i \, b^{2} x^{\frac{5}{6}} - 90090 \, b \sqrt{x} + 135135 i \, x^{\frac{1}{6}}\right)} e^{\left(-i \, b x^{\frac{1}{3}} - i \, a\right)}}{128 \, b^{7}} + \frac{405405 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{256 \, b^{7} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{405405 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{256 \, b^{7} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}}"," ",0,"-3/128*(64*I*b^6*x^(13/6) - 416*b^5*x^(11/6) - 2288*I*b^4*x^(3/2) + 10296*b^3*x^(7/6) + 36036*I*b^2*x^(5/6) - 90090*b*sqrt(x) - 135135*I*x^(1/6))*e^(I*b*x^(1/3) + I*a)/b^7 - 3/128*(-64*I*b^6*x^(13/6) - 416*b^5*x^(11/6) + 2288*I*b^4*x^(3/2) + 10296*b^3*x^(7/6) - 36036*I*b^2*x^(5/6) - 90090*b*sqrt(x) + 135135*I*x^(1/6))*e^(-I*b*x^(1/3) - I*a)/b^7 + 405405/256*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b^7*(-I*b/abs(b) + 1)*sqrt(abs(b))) - 405405/256*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b^7*(I*b/abs(b) + 1)*sqrt(abs(b)))","C",0
50,1,193,0,0.496280," ","integrate(x^(1/2)*cos(a+b*x^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(8 i \, b^{3} x^{\frac{7}{6}} - 28 \, b^{2} x^{\frac{5}{6}} - 70 i \, b \sqrt{x} + 105 \, x^{\frac{1}{6}}\right)} e^{\left(i \, b x^{\frac{1}{3}} + i \, a\right)}}{16 \, b^{4}} - \frac{3 \, {\left(-8 i \, b^{3} x^{\frac{7}{6}} - 28 \, b^{2} x^{\frac{5}{6}} + 70 i \, b \sqrt{x} + 105 \, x^{\frac{1}{6}}\right)} e^{\left(-i \, b x^{\frac{1}{3}} - i \, a\right)}}{16 \, b^{4}} - \frac{315 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{32 \, b^{4} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{315 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{32 \, b^{4} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}}"," ",0,"-3/16*(8*I*b^3*x^(7/6) - 28*b^2*x^(5/6) - 70*I*b*sqrt(x) + 105*x^(1/6))*e^(I*b*x^(1/3) + I*a)/b^4 - 3/16*(-8*I*b^3*x^(7/6) - 28*b^2*x^(5/6) + 70*I*b*sqrt(x) + 105*x^(1/6))*e^(-I*b*x^(1/3) - I*a)/b^4 - 315/32*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b^4*(-I*b/abs(b) + 1)*sqrt(abs(b))) - 315/32*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b^4*(I*b/abs(b) + 1)*sqrt(abs(b)))","C",0
51,1,143,0,0.516973," ","integrate(cos(a+b*x^(1/3))/x^(1/2),x, algorithm=""giac"")","-\frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{4 \, b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{4 \, b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{3 i \, x^{\frac{1}{6}} e^{\left(i \, b x^{\frac{1}{3}} + i \, a\right)}}{2 \, b} + \frac{3 i \, x^{\frac{1}{6}} e^{\left(-i \, b x^{\frac{1}{3}} - i \, a\right)}}{2 \, b}"," ",0,"-3/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + 3/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x^(1/6)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) - 3/2*I*x^(1/6)*e^(I*b*x^(1/3) + I*a)/b + 3/2*I*x^(1/6)*e^(-I*b*x^(1/3) - I*a)/b","C",0
52,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))/x^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)/x^(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))/x^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)/x^(5/2), x)","F",0
54,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))/x^(7/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)/x^(7/2), x)","F",0
55,1,224,0,1.249310," ","integrate(x^(3/2)*cos(a+b*x^(1/3))^2,x, algorithm=""giac"")","\frac{1}{5} \, x^{\frac{5}{2}} - \frac{3 \, {\left(4096 i \, b^{6} x^{\frac{13}{6}} - 13312 \, b^{5} x^{\frac{11}{6}} - 36608 i \, b^{4} x^{\frac{3}{2}} + 82368 \, b^{3} x^{\frac{7}{6}} + 144144 i \, b^{2} x^{\frac{5}{6}} - 180180 \, b \sqrt{x} - 135135 i \, x^{\frac{1}{6}}\right)} e^{\left(2 i \, b x^{\frac{1}{3}} + 2 i \, a\right)}}{32768 \, b^{7}} - \frac{3 \, {\left(-4096 i \, b^{6} x^{\frac{13}{6}} - 13312 \, b^{5} x^{\frac{11}{6}} + 36608 i \, b^{4} x^{\frac{3}{2}} + 82368 \, b^{3} x^{\frac{7}{6}} - 144144 i \, b^{2} x^{\frac{5}{6}} - 180180 \, b \sqrt{x} + 135135 i \, x^{\frac{1}{6}}\right)} e^{\left(-2 i \, b x^{\frac{1}{3}} - 2 i \, a\right)}}{32768 \, b^{7}} + \frac{405405 i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(2 i \, a\right)}}{65536 \, b^{\frac{15}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{405405 i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-2 i \, a\right)}}{65536 \, b^{\frac{15}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/5*x^(5/2) - 3/32768*(4096*I*b^6*x^(13/6) - 13312*b^5*x^(11/6) - 36608*I*b^4*x^(3/2) + 82368*b^3*x^(7/6) + 144144*I*b^2*x^(5/6) - 180180*b*sqrt(x) - 135135*I*x^(1/6))*e^(2*I*b*x^(1/3) + 2*I*a)/b^7 - 3/32768*(-4096*I*b^6*x^(13/6) - 13312*b^5*x^(11/6) + 36608*I*b^4*x^(3/2) + 82368*b^3*x^(7/6) - 144144*I*b^2*x^(5/6) - 180180*b*sqrt(x) + 135135*I*x^(1/6))*e^(-2*I*b*x^(1/3) - 2*I*a)/b^7 + 405405/65536*I*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(-I*b/abs(b) + 1))*e^(2*I*a)/(b^(15/2)*(-I*b/abs(b) + 1)) - 405405/65536*I*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(I*b/abs(b) + 1))*e^(-2*I*a)/(b^(15/2)*(I*b/abs(b) + 1))","C",0
56,1,176,0,0.451380," ","integrate(x^(1/2)*cos(a+b*x^(1/3))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{\frac{3}{2}} - \frac{3 \, {\left(64 i \, b^{3} x^{\frac{7}{6}} - 112 \, b^{2} x^{\frac{5}{6}} - 140 i \, b \sqrt{x} + 105 \, x^{\frac{1}{6}}\right)} e^{\left(2 i \, b x^{\frac{1}{3}} + 2 i \, a\right)}}{512 \, b^{4}} - \frac{3 \, {\left(-64 i \, b^{3} x^{\frac{7}{6}} - 112 \, b^{2} x^{\frac{5}{6}} + 140 i \, b \sqrt{x} + 105 \, x^{\frac{1}{6}}\right)} e^{\left(-2 i \, b x^{\frac{1}{3}} - 2 i \, a\right)}}{512 \, b^{4}} - \frac{315 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(2 i \, a\right)}}{1024 \, b^{\frac{9}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{315 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-2 i \, a\right)}}{1024 \, b^{\frac{9}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/3*x^(3/2) - 3/512*(64*I*b^3*x^(7/6) - 112*b^2*x^(5/6) - 140*I*b*sqrt(x) + 105*x^(1/6))*e^(2*I*b*x^(1/3) + 2*I*a)/b^4 - 3/512*(-64*I*b^3*x^(7/6) - 112*b^2*x^(5/6) + 140*I*b*sqrt(x) + 105*x^(1/6))*e^(-2*I*b*x^(1/3) - 2*I*a)/b^4 - 315/1024*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(-I*b/abs(b) + 1))*e^(2*I*a)/(b^(9/2)*(-I*b/abs(b) + 1)) - 315/1024*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(I*b/abs(b) + 1))*e^(-2*I*a)/(b^(9/2)*(I*b/abs(b) + 1))","C",0
57,1,124,0,0.532424," ","integrate(cos(a+b*x^(1/3))^2/x^(1/2),x, algorithm=""giac"")","\sqrt{x} - \frac{3 i \, x^{\frac{1}{6}} e^{\left(2 i \, b x^{\frac{1}{3}} + 2 i \, a\right)}}{8 \, b} + \frac{3 i \, x^{\frac{1}{6}} e^{\left(-2 i \, b x^{\frac{1}{3}} - 2 i \, a\right)}}{8 \, b} - \frac{3 i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(2 i \, a\right)}}{16 \, b^{\frac{3}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} + \frac{3 i \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} x^{\frac{1}{6}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-2 i \, a\right)}}{16 \, b^{\frac{3}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"sqrt(x) - 3/8*I*x^(1/6)*e^(2*I*b*x^(1/3) + 2*I*a)/b + 3/8*I*x^(1/6)*e^(-2*I*b*x^(1/3) - 2*I*a)/b - 3/16*I*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(-I*b/abs(b) + 1))*e^(2*I*a)/(b^(3/2)*(-I*b/abs(b) + 1)) + 3/16*I*sqrt(pi)*erf(-sqrt(b)*x^(1/6)*(I*b/abs(b) + 1))*e^(-2*I*a)/(b^(3/2)*(I*b/abs(b) + 1))","C",0
58,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))^2/x^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)^{2}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)^2/x^(3/2), x)","F",0
59,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))^2/x^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)^{2}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)^2/x^(5/2), x)","F",0
60,0,0,0,0.000000," ","integrate(cos(a+b*x^(1/3))^2/x^(7/2),x, algorithm=""giac"")","\int \frac{\cos\left(b x^{\frac{1}{3}} + a\right)^{2}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cos(b*x^(1/3) + a)^2/x^(7/2), x)","F",0
61,1,47,0,0.386336," ","integrate(cos(x^(1/3))^3,x, algorithm=""giac"")","\frac{1}{36} \, {\left(9 \, x^{\frac{2}{3}} - 2\right)} \sin\left(3 \, x^{\frac{1}{3}}\right) + \frac{9}{4} \, {\left(x^{\frac{2}{3}} - 2\right)} \sin\left(x^{\frac{1}{3}}\right) + \frac{1}{6} \, x^{\frac{1}{3}} \cos\left(3 \, x^{\frac{1}{3}}\right) + \frac{9}{2} \, x^{\frac{1}{3}} \cos\left(x^{\frac{1}{3}}\right)"," ",0,"1/36*(9*x^(2/3) - 2)*sin(3*x^(1/3)) + 9/4*(x^(2/3) - 2)*sin(x^(1/3)) + 1/6*x^(1/3)*cos(3*x^(1/3)) + 9/2*x^(1/3)*cos(x^(1/3))","A",0
62,1,6,0,0.356710," ","integrate(cos(x^(1/6))/x^(5/6),x, algorithm=""giac"")","6 \, \sin\left(x^{\frac{1}{6}}\right)"," ",0,"6*sin(x^(1/6))","A",0
63,0,0,0,0.000000," ","integrate((e*x)^m*(b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cos(d*x^n + c))^p, x)","F",0
64,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cos(d*x^n + c) + a)^p, x)","F",0
65,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
66,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{2 \, n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
67,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
68,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{2 \, n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
69,0,0,0,0.000000," ","integrate(cos(a+b*x^n)/x,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{n} + a\right)}{x}\,{d x}"," ",0,"integrate(cos(b*x^n + a)/x, x)","F",0
70,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^2/x,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{n} + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^2/x, x)","F",0
71,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^3/x,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{n} + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^3/x, x)","F",0
72,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^4/x,x, algorithm=""giac"")","\int \frac{\cos\left(b x^{n} + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^4/x, x)","F",0
73,0,0,0,0.000000," ","integrate(cos(a+b*x^n),x, algorithm=""giac"")","\int \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(cos(b*x^n + a), x)","F",0
74,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^2,x, algorithm=""giac"")","\int \cos\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^2, x)","F",0
75,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^3,x, algorithm=""giac"")","\int \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^3, x)","F",0
76,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n),x, algorithm=""giac"")","\int x^{m} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^m*cos(b*x^n + a), x)","F",0
77,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{m} \cos\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cos(b*x^n + a)^2, x)","F",0
78,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{m} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cos(b*x^n + a)^3, x)","F",0
79,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n),x, algorithm=""giac"")","\int x^{-n - 1} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-n - 1)*cos(b*x^n + a), x)","F",0
80,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{-n - 1} \cos\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(-n - 1)*cos(b*x^n + a)^2, x)","F",0
81,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{-n - 1} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-n - 1)*cos(b*x^n + a)^3, x)","F",0
82,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n),x, algorithm=""giac"")","\int x^{-2 \, n - 1} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-2*n - 1)*cos(b*x^n + a), x)","F",0
83,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{-2 \, n - 1} \cos\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(-2*n - 1)*cos(b*x^n + a)^2, x)","F",0
84,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{-2 \, n - 1} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-2*n - 1)*cos(b*x^n + a)^3, x)","F",0
85,1,159,0,0.457023," ","integrate(x^2*cos((b*x+a)^2),x, algorithm=""giac"")","-\frac{\frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(2 \, a^{2} + i\right)} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{{\left| b \right|}} + \frac{4 \, {\left(i \, b {\left(x + \frac{a}{b}\right)} - 2 i \, a\right)} e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)}}{b}}{16 \, b^{2}} - \frac{-\frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(2 \, a^{2} - i\right)} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{{\left| b \right|}} + \frac{4 \, {\left(-i \, b {\left(x + \frac{a}{b}\right)} + 2 i \, a\right)} e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}}{b}}{16 \, b^{2}}"," ",0,"-1/16*((I + 1)*sqrt(2)*sqrt(pi)*(2*a^2 + I)*erf((1/2*I - 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b) + 4*(I*b*(x + a/b) - 2*I*a)*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2)/b)/b^2 - 1/16*(-(I - 1)*sqrt(2)*sqrt(pi)*(2*a^2 - I)*erf(-(1/2*I + 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b) + 4*(-I*b*(x + a/b) + 2*I*a)*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)/b)/b^2","C",0
86,1,119,0,0.550155," ","integrate(x*cos((b*x+a)^2),x, algorithm=""giac"")","-\frac{-\frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} a \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{{\left| b \right|}} + \frac{2 i \, e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)}}{b}}{8 \, b} - \frac{\frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} a \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{{\left| b \right|}} - \frac{2 i \, e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}}{b}}{8 \, b}"," ",0,"-1/8*(-(I + 1)*sqrt(2)*sqrt(pi)*a*erf((1/2*I - 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b) + 2*I*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2)/b)/b - 1/8*((I - 1)*sqrt(2)*sqrt(pi)*a*erf(-(1/2*I + 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b) - 2*I*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)/b)/b","C",0
87,1,55,0,0.400303," ","integrate(cos((b*x+a)^2),x, algorithm=""giac"")","-\frac{\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{8 \, {\left| b \right|}} + \frac{\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} {\left(x + \frac{a}{b}\right)} {\left| b \right|}\right)}{8 \, {\left| b \right|}}"," ",0,"-(1/8*I + 1/8)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b) + (1/8*I - 1/8)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*(x + a/b)*abs(b))/abs(b)","C",0
88,0,0,0,0.000000," ","integrate(cos((b*x+a)^2)/x,x, algorithm=""giac"")","\int \frac{\cos\left({\left(b x + a\right)}^{2}\right)}{x}\,{d x}"," ",0,"integrate(cos((b*x + a)^2)/x, x)","F",0
89,0,0,0,0.000000," ","integrate(cos((b*x+a)^2)/x^2,x, algorithm=""giac"")","\int \frac{\cos\left({\left(b x + a\right)}^{2}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos((b*x + a)^2)/x^2, x)","F",0
90,1,480,0,0.454036," ","integrate(x^2*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{{\left(b^{4} c^{2} - 6 \, {\left(\sqrt{d x + c} b + a\right)}^{2} b^{2} c + 12 \, {\left(\sqrt{d x + c} b + a\right)} a b^{2} c - 6 \, a^{2} b^{2} c + 5 \, {\left(\sqrt{d x + c} b + a\right)}^{4} - 20 \, {\left(\sqrt{d x + c} b + a\right)}^{3} a + 30 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a^{2} - 20 \, {\left(\sqrt{d x + c} b + a\right)} a^{3} + 5 \, a^{4} + 12 \, b^{2} c - 60 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 120 \, {\left(\sqrt{d x + c} b + a\right)} a - 60 \, a^{2} + 120\right)} \cos\left(\sqrt{d x + c} b + a\right)}{b^{4} d^{2}} + \frac{{\left({\left(\sqrt{d x + c} b + a\right)} b^{4} c^{2} - a b^{4} c^{2} - 2 \, {\left(\sqrt{d x + c} b + a\right)}^{3} b^{2} c + 6 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a b^{2} c - 6 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} b^{2} c + 2 \, a^{3} b^{2} c + {\left(\sqrt{d x + c} b + a\right)}^{5} - 5 \, {\left(\sqrt{d x + c} b + a\right)}^{4} a + 10 \, {\left(\sqrt{d x + c} b + a\right)}^{3} a^{2} - 10 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a^{3} + 5 \, {\left(\sqrt{d x + c} b + a\right)} a^{4} - a^{5} + 12 \, {\left(\sqrt{d x + c} b + a\right)} b^{2} c - 12 \, a b^{2} c - 20 \, {\left(\sqrt{d x + c} b + a\right)}^{3} + 60 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a - 60 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} + 20 \, a^{3} + 120 \, \sqrt{d x + c} b\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{4} d^{2}}\right)}}{b^{2} d}"," ",0,"2*((b^4*c^2 - 6*(sqrt(d*x + c)*b + a)^2*b^2*c + 12*(sqrt(d*x + c)*b + a)*a*b^2*c - 6*a^2*b^2*c + 5*(sqrt(d*x + c)*b + a)^4 - 20*(sqrt(d*x + c)*b + a)^3*a + 30*(sqrt(d*x + c)*b + a)^2*a^2 - 20*(sqrt(d*x + c)*b + a)*a^3 + 5*a^4 + 12*b^2*c - 60*(sqrt(d*x + c)*b + a)^2 + 120*(sqrt(d*x + c)*b + a)*a - 60*a^2 + 120)*cos(sqrt(d*x + c)*b + a)/(b^4*d^2) + ((sqrt(d*x + c)*b + a)*b^4*c^2 - a*b^4*c^2 - 2*(sqrt(d*x + c)*b + a)^3*b^2*c + 6*(sqrt(d*x + c)*b + a)^2*a*b^2*c - 6*(sqrt(d*x + c)*b + a)*a^2*b^2*c + 2*a^3*b^2*c + (sqrt(d*x + c)*b + a)^5 - 5*(sqrt(d*x + c)*b + a)^4*a + 10*(sqrt(d*x + c)*b + a)^3*a^2 - 10*(sqrt(d*x + c)*b + a)^2*a^3 + 5*(sqrt(d*x + c)*b + a)*a^4 - a^5 + 12*(sqrt(d*x + c)*b + a)*b^2*c - 12*a*b^2*c - 20*(sqrt(d*x + c)*b + a)^3 + 60*(sqrt(d*x + c)*b + a)^2*a - 60*(sqrt(d*x + c)*b + a)*a^2 + 20*a^3 + 120*sqrt(d*x + c)*b)*sin(sqrt(d*x + c)*b + a)/(b^4*d^2))/(b^2*d)","A",0
91,1,166,0,0.473681," ","integrate(x*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(b^{2} c - 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 6 \, {\left(\sqrt{d x + c} b + a\right)} a - 3 \, a^{2} + 6\right)} \cos\left(\sqrt{d x + c} b + a\right)}{b^{2}} + \frac{{\left({\left(\sqrt{d x + c} b + a\right)} b^{2} c - a b^{2} c - {\left(\sqrt{d x + c} b + a\right)}^{3} + 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a - 3 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} + a^{3} + 6 \, \sqrt{d x + c} b\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}}\right)}}{b^{2} d^{2}}"," ",0,"-2*((b^2*c - 3*(sqrt(d*x + c)*b + a)^2 + 6*(sqrt(d*x + c)*b + a)*a - 3*a^2 + 6)*cos(sqrt(d*x + c)*b + a)/b^2 + ((sqrt(d*x + c)*b + a)*b^2*c - a*b^2*c - (sqrt(d*x + c)*b + a)^3 + 3*(sqrt(d*x + c)*b + a)^2*a - 3*(sqrt(d*x + c)*b + a)*a^2 + a^3 + 6*sqrt(d*x + c)*b)*sin(sqrt(d*x + c)*b + a)/b^2)/(b^2*d^2)","A",0
92,1,42,0,0.328712," ","integrate(cos(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","\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
93,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/2))/x,x, algorithm=""giac"")","\int \frac{\cos\left(\sqrt{d x + c} b + a\right)}{x}\,{d x}"," ",0,"integrate(cos(sqrt(d*x + c)*b + a)/x, x)","F",0
94,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(\sqrt{d x + c} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(sqrt(d*x + c)*b + a)/x^2, x)","F",0
95,1,1104,0,0.496459," ","integrate(x^2*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{2 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{6} c^{2} - a b^{6} c^{2} - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a b^{3} c - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} b^{3} c - 5 \, a^{4} b^{3} c + 4 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} - 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} a + 84 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a^{2} - 140 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{3} + 140 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{4} - 84 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{5} + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{6} - 4 \, a^{7} + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{3} c - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{3} c + 60 \, a^{2} b^{3} c - 168 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a - 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} + 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} + 168 \, a^{5} - 120 \, b^{3} c + 3360 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a + 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} - 3360 \, a^{3} - 20160 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{8} d^{2}} + \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{6} c^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{6} c^{2} + a^{2} b^{6} c^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} b^{3} c + 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a b^{3} c - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} b^{3} c - 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} b^{3} c + 2 \, a^{5} b^{3} c + {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{8} - 8 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} a + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} a^{2} - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a^{3} + 70 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{4} - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{5} + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{6} - 8 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{7} + a^{8} - 2 \, b^{6} c^{2} + 40 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} b^{3} c - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a b^{3} c + 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} b^{3} c - 40 \, a^{3} b^{3} c - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} + 336 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{2} + 1120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{3} - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{4} + 336 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{5} - 56 \, a^{6} - 240 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{3} c + 240 \, a b^{3} c + 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 6720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a + 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} - 6720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} + 1680 \, a^{4} - 20160 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 40320 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a - 20160 \, a^{2} + 40320\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{8} d^{2}}\right)}}{b d}"," ",0,"3*(2*(((d*x + c)^(1/3)*b + a)*b^6*c^2 - a*b^6*c^2 - 5*((d*x + c)^(1/3)*b + a)^4*b^3*c + 20*((d*x + c)^(1/3)*b + a)^3*a*b^3*c - 30*((d*x + c)^(1/3)*b + a)^2*a^2*b^3*c + 20*((d*x + c)^(1/3)*b + a)*a^3*b^3*c - 5*a^4*b^3*c + 4*((d*x + c)^(1/3)*b + a)^7 - 28*((d*x + c)^(1/3)*b + a)^6*a + 84*((d*x + c)^(1/3)*b + a)^5*a^2 - 140*((d*x + c)^(1/3)*b + a)^4*a^3 + 140*((d*x + c)^(1/3)*b + a)^3*a^4 - 84*((d*x + c)^(1/3)*b + a)^2*a^5 + 28*((d*x + c)^(1/3)*b + a)*a^6 - 4*a^7 + 60*((d*x + c)^(1/3)*b + a)^2*b^3*c - 120*((d*x + c)^(1/3)*b + a)*a*b^3*c + 60*a^2*b^3*c - 168*((d*x + c)^(1/3)*b + a)^5 + 840*((d*x + c)^(1/3)*b + a)^4*a - 1680*((d*x + c)^(1/3)*b + a)^3*a^2 + 1680*((d*x + c)^(1/3)*b + a)^2*a^3 - 840*((d*x + c)^(1/3)*b + a)*a^4 + 168*a^5 - 120*b^3*c + 3360*((d*x + c)^(1/3)*b + a)^3 - 10080*((d*x + c)^(1/3)*b + a)^2*a + 10080*((d*x + c)^(1/3)*b + a)*a^2 - 3360*a^3 - 20160*(d*x + c)^(1/3)*b)*cos((d*x + c)^(1/3)*b + a)/(b^8*d^2) + (((d*x + c)^(1/3)*b + a)^2*b^6*c^2 - 2*((d*x + c)^(1/3)*b + a)*a*b^6*c^2 + a^2*b^6*c^2 - 2*((d*x + c)^(1/3)*b + a)^5*b^3*c + 10*((d*x + c)^(1/3)*b + a)^4*a*b^3*c - 20*((d*x + c)^(1/3)*b + a)^3*a^2*b^3*c + 20*((d*x + c)^(1/3)*b + a)^2*a^3*b^3*c - 10*((d*x + c)^(1/3)*b + a)*a^4*b^3*c + 2*a^5*b^3*c + ((d*x + c)^(1/3)*b + a)^8 - 8*((d*x + c)^(1/3)*b + a)^7*a + 28*((d*x + c)^(1/3)*b + a)^6*a^2 - 56*((d*x + c)^(1/3)*b + a)^5*a^3 + 70*((d*x + c)^(1/3)*b + a)^4*a^4 - 56*((d*x + c)^(1/3)*b + a)^3*a^5 + 28*((d*x + c)^(1/3)*b + a)^2*a^6 - 8*((d*x + c)^(1/3)*b + a)*a^7 + a^8 - 2*b^6*c^2 + 40*((d*x + c)^(1/3)*b + a)^3*b^3*c - 120*((d*x + c)^(1/3)*b + a)^2*a*b^3*c + 120*((d*x + c)^(1/3)*b + a)*a^2*b^3*c - 40*a^3*b^3*c - 56*((d*x + c)^(1/3)*b + a)^6 + 336*((d*x + c)^(1/3)*b + a)^5*a - 840*((d*x + c)^(1/3)*b + a)^4*a^2 + 1120*((d*x + c)^(1/3)*b + a)^3*a^3 - 840*((d*x + c)^(1/3)*b + a)^2*a^4 + 336*((d*x + c)^(1/3)*b + a)*a^5 - 56*a^6 - 240*((d*x + c)^(1/3)*b + a)*b^3*c + 240*a*b^3*c + 1680*((d*x + c)^(1/3)*b + a)^4 - 6720*((d*x + c)^(1/3)*b + a)^3*a + 10080*((d*x + c)^(1/3)*b + a)^2*a^2 - 6720*((d*x + c)^(1/3)*b + a)*a^3 + 1680*a^4 - 20160*((d*x + c)^(1/3)*b + a)^2 + 40320*((d*x + c)^(1/3)*b + a)*a - 20160*a^2 + 40320)*sin((d*x + c)^(1/3)*b + a)/(b^8*d^2))/(b*d)","B",0
96,1,370,0,1.258612," ","integrate(x*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{{\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{3} c - 2 \, a b^{3} c - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} - 5 \, a^{4} + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + 60 \, a^{2} - 120\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}} + \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{3} c - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{3} c + a^{2} b^{3} c - {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a - 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} + 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} + a^{5} - 2 \, b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} - 20 \, a^{3} - 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}}\right)}}{b d^{2}}"," ",0,"-3*((2*((d*x + c)^(1/3)*b + a)*b^3*c - 2*a*b^3*c - 5*((d*x + c)^(1/3)*b + a)^4 + 20*((d*x + c)^(1/3)*b + a)^3*a - 30*((d*x + c)^(1/3)*b + a)^2*a^2 + 20*((d*x + c)^(1/3)*b + a)*a^3 - 5*a^4 + 60*((d*x + c)^(1/3)*b + a)^2 - 120*((d*x + c)^(1/3)*b + a)*a + 60*a^2 - 120)*cos((d*x + c)^(1/3)*b + a)/b^5 + (((d*x + c)^(1/3)*b + a)^2*b^3*c - 2*((d*x + c)^(1/3)*b + a)*a*b^3*c + a^2*b^3*c - ((d*x + c)^(1/3)*b + a)^5 + 5*((d*x + c)^(1/3)*b + a)^4*a - 10*((d*x + c)^(1/3)*b + a)^3*a^2 + 10*((d*x + c)^(1/3)*b + a)^2*a^3 - 5*((d*x + c)^(1/3)*b + a)*a^4 + a^5 - 2*b^3*c + 20*((d*x + c)^(1/3)*b + a)^3 - 60*((d*x + c)^(1/3)*b + a)^2*a + 60*((d*x + c)^(1/3)*b + a)*a^2 - 20*a^3 - 120*(d*x + c)^(1/3)*b)*sin((d*x + c)^(1/3)*b + a)/b^5)/(b*d^2)","A",0
97,1,81,0,0.429305," ","integrate(cos(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b} + \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + a^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{2}}\right)}}{b d}"," ",0,"3*(2*(d*x + c)^(1/3)*cos((d*x + c)^(1/3)*b + a)/b + (((d*x + c)^(1/3)*b + a)^2 - 2*((d*x + c)^(1/3)*b + a)*a + a^2 - 2)*sin((d*x + c)^(1/3)*b + a)/b^2)/(b*d)","A",0
98,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/3))/x,x, algorithm=""giac"")","\int \frac{\cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x}\,{d x}"," ",0,"integrate(cos((d*x + c)^(1/3)*b + a)/x, x)","F",0
99,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/3))/x^2,x, algorithm=""giac"")","\int \frac{\cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos((d*x + c)^(1/3)*b + a)/x^2, x)","F",0
