1,1,36,0,0.768863," ","integrate(x**3*cos(b*x**2+a),x)","\begin{cases} \frac{x^{2} \sin{\left(a + b x^{2} \right)}}{2 b} + \frac{\cos{\left(a + b x^{2} \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{4} \cos{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sin(a + b*x**2)/(2*b) + cos(a + b*x**2)/(2*b**2), Ne(b, 0)), (x**4*cos(a)/4, True))","A",0
2,1,209,0,1.944172," ","integrate(x**2*cos(b*x**2+a),x)","\frac{b^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{b}} \sin{\left(a \right)} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{9}{4} \end{matrix}\middle| {- \frac{b^{2} x^{4}}{4}} \right)}}{8 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)} - \frac{\sqrt{b} x^{3} \sqrt{\frac{1}{b}} \cos{\left(a \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- \frac{b^{2} x^{4}}{4}} \right)}}{8 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} - \frac{\sqrt{2} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \sin{\left(a \right)} S\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)}{2} + \frac{\sqrt{2} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \cos{\left(a \right)} C\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)}{2}"," ",0,"b**(3/2)*x**5*sqrt(1/b)*sin(a)*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -b**2*x**4/4)/(8*gamma(7/4)*gamma(9/4)) - sqrt(b)*x**3*sqrt(1/b)*cos(a)*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -b**2*x**4/4)/(8*gamma(5/4)*gamma(7/4)) - sqrt(2)*sqrt(pi)*x**2*sqrt(1/b)*sin(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi))/2 + sqrt(2)*sqrt(pi)*x**2*sqrt(1/b)*cos(a)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi))/2","B",0
3,1,19,0,0.170048," ","integrate(x*cos(b*x**2+a),x)","\begin{cases} \frac{\sin{\left(a + b x^{2} \right)}}{2 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \cos{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sin(a + b*x**2)/(2*b), Ne(b, 0)), (x**2*cos(a)/2, True))","A",0
4,1,61,0,0.441559," ","integrate(cos(b*x**2+a),x)","\frac{\sqrt{2} \sqrt{\pi} \left(- \sin{\left(a \right)} S\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(a \right)} C\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{b}}}{2}"," ",0,"sqrt(2)*sqrt(pi)*(-sin(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi)) + cos(a)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/2","A",0
5,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x,x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**2)/x, x)","F",0
6,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x**2,x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b*x**2)/x**2, x)","F",0
7,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x**3,x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{x^{3}}\, dx"," ",0,"Integral(cos(a + b*x**2)/x**3, x)","F",0
8,1,78,0,1.548083," ","integrate(x**3*cos(b*x**2+a)**2,x)","\begin{cases} \frac{x^{4} \sin^{2}{\left(a + b x^{2} \right)}}{8} + \frac{x^{4} \cos^{2}{\left(a + b x^{2} \right)}}{8} + \frac{x^{2} \sin{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{4 b} + \frac{\cos^{2}{\left(a + b x^{2} \right)}}{8 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{4} \cos^{2}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*sin(a + b*x**2)**2/8 + x**4*cos(a + b*x**2)**2/8 + x**2*sin(a + b*x**2)*cos(a + b*x**2)/(4*b) + cos(a + b*x**2)**2/(8*b**2), Ne(b, 0)), (x**4*cos(a)**2/4, True))","A",0
9,1,201,0,2.598439," ","integrate(x**2*cos(b*x**2+a)**2,x)","\frac{b^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{b}} \sin{\left(2 a \right)} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{9}{4} \end{matrix}\middle| {- b^{2} x^{4}} \right)}}{8 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)} - \frac{\sqrt{b} x^{3} \sqrt{\frac{1}{b}} \cos{\left(2 a \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- b^{2} x^{4}} \right)}}{16 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} + \frac{x^{3}}{6} - \frac{\sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \sin{\left(2 a \right)} S\left(\frac{2 \sqrt{b} x}{\sqrt{\pi}}\right)}{4} + \frac{\sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \cos{\left(2 a \right)} C\left(\frac{2 \sqrt{b} x}{\sqrt{\pi}}\right)}{4}"," ",0,"b**(3/2)*x**5*sqrt(1/b)*sin(2*a)*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -b**2*x**4)/(8*gamma(7/4)*gamma(9/4)) - sqrt(b)*x**3*sqrt(1/b)*cos(2*a)*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -b**2*x**4)/(16*gamma(5/4)*gamma(7/4)) + x**3/6 - sqrt(pi)*x**2*sqrt(1/b)*sin(2*a)*fresnels(2*sqrt(b)*x/sqrt(pi))/4 + sqrt(pi)*x**2*sqrt(1/b)*cos(2*a)*fresnelc(2*sqrt(b)*x/sqrt(pi))/4","B",0
10,1,60,0,0.406684," ","integrate(x*cos(b*x**2+a)**2,x)","\begin{cases} \frac{x^{2} \sin^{2}{\left(a + b x^{2} \right)}}{4} + \frac{x^{2} \cos^{2}{\left(a + b x^{2} \right)}}{4} + \frac{\sin{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{4 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \cos^{2}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sin(a + b*x**2)**2/4 + x**2*cos(a + b*x**2)**2/4 + sin(a + b*x**2)*cos(a + b*x**2)/(4*b), Ne(b, 0)), (x**2*cos(a)**2/2, True))","A",0
11,1,56,0,0.800043," ","integrate(cos(b*x**2+a)**2,x)","\frac{x}{2} + \frac{\sqrt{\pi} \left(- \sin{\left(2 a \right)} S\left(\frac{2 \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(2 a \right)} C\left(\frac{2 \sqrt{b} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{b}}}{4}"," ",0,"x/2 + sqrt(pi)*(-sin(2*a)*fresnels(2*sqrt(b)*x/sqrt(pi)) + cos(2*a)*fresnelc(2*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/4","A",0
12,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x,x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/x, x)","F",0
13,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x**2,x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/x**2, x)","F",0
14,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x**3,x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{x^{3}}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/x**3, x)","F",0
15,1,92,0,2.774934," ","integrate(x**3*cos(b*x**2+a)**3,x)","\begin{cases} \frac{x^{2} \sin^{3}{\left(a + b x^{2} \right)}}{3 b} + \frac{x^{2} \sin{\left(a + b x^{2} \right)} \cos^{2}{\left(a + b x^{2} \right)}}{2 b} + \frac{\sin^{2}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{3 b^{2}} + \frac{7 \cos^{3}{\left(a + b x^{2} \right)}}{18 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{4} \cos^{3}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sin(a + b*x**2)**3/(3*b) + x**2*sin(a + b*x**2)*cos(a + b*x**2)**2/(2*b) + sin(a + b*x**2)**2*cos(a + b*x**2)/(3*b**2) + 7*cos(a + b*x**2)**3/(18*b**2), Ne(b, 0)), (x**4*cos(a)**3/4, True))","A",0
16,1,439,0,4.379858," ","integrate(x**2*cos(b*x**2+a)**3,x)","\frac{3 b^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{b}} \sin{\left(a \right)} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{9}{4} \end{matrix}\middle| {- \frac{b^{2} x^{4}}{4}} \right)}}{32 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)} + \frac{3 b^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{b}} \sin{\left(3 a \right)} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{9}{4} \end{matrix}\middle| {- \frac{9 b^{2} x^{4}}{4}} \right)}}{32 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)} - \frac{3 \sqrt{b} x^{3} \sqrt{\frac{1}{b}} \cos{\left(a \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- \frac{b^{2} x^{4}}{4}} \right)}}{32 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} - \frac{\sqrt{b} x^{3} \sqrt{\frac{1}{b}} \cos{\left(3 a \right)} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- \frac{9 b^{2} x^{4}}{4}} \right)}}{32 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} - \frac{3 \sqrt{2} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \sin{\left(a \right)} S\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)}{8} - \frac{\sqrt{6} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \sin{\left(3 a \right)} S\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right)}{24} + \frac{3 \sqrt{2} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \cos{\left(a \right)} C\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)}{8} + \frac{\sqrt{6} \sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \cos{\left(3 a \right)} C\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right)}{24}"," ",0,"3*b**(3/2)*x**5*sqrt(1/b)*sin(a)*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -b**2*x**4/4)/(32*gamma(7/4)*gamma(9/4)) + 3*b**(3/2)*x**5*sqrt(1/b)*sin(3*a)*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -9*b**2*x**4/4)/(32*gamma(7/4)*gamma(9/4)) - 3*sqrt(b)*x**3*sqrt(1/b)*cos(a)*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -b**2*x**4/4)/(32*gamma(5/4)*gamma(7/4)) - sqrt(b)*x**3*sqrt(1/b)*cos(3*a)*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -9*b**2*x**4/4)/(32*gamma(5/4)*gamma(7/4)) - 3*sqrt(2)*sqrt(pi)*x**2*sqrt(1/b)*sin(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi))/8 - sqrt(6)*sqrt(pi)*x**2*sqrt(1/b)*sin(3*a)*fresnels(sqrt(6)*sqrt(b)*x/sqrt(pi))/24 + 3*sqrt(2)*sqrt(pi)*x**2*sqrt(1/b)*cos(a)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi))/8 + sqrt(6)*sqrt(pi)*x**2*sqrt(1/b)*cos(3*a)*fresnelc(sqrt(6)*sqrt(b)*x/sqrt(pi))/24","B",0
17,1,44,0,0.768203," ","integrate(x*cos(b*x**2+a)**3,x)","\begin{cases} \frac{\sin^{3}{\left(a + b x^{2} \right)}}{3 b} + \frac{\sin{\left(a + b x^{2} \right)} \cos^{2}{\left(a + b x^{2} \right)}}{2 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \cos^{3}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sin(a + b*x**2)**3/(3*b) + sin(a + b*x**2)*cos(a + b*x**2)**2/(2*b), Ne(b, 0)), (x**2*cos(a)**3/2, True))","A",0
18,1,129,0,1.138789," ","integrate(cos(b*x**2+a)**3,x)","\frac{3 \sqrt{2} \sqrt{\pi} \left(- \sin{\left(a \right)} S\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(a \right)} C\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{b}}}{8} + \frac{\sqrt{6} \sqrt{\pi} \left(- \sin{\left(3 a \right)} S\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(3 a \right)} C\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{b}}}{24}"," ",0,"3*sqrt(2)*sqrt(pi)*(-sin(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi)) + cos(a)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/8 + sqrt(6)*sqrt(pi)*(-sin(3*a)*fresnels(sqrt(6)*sqrt(b)*x/sqrt(pi)) + cos(3*a)*fresnelc(sqrt(6)*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/24","A",0
19,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**3/x,x)","\int \frac{\cos^{3}{\left(a + b x^{2} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**2)**3/x, x)","F",0
20,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**3/x**2,x)","\int \frac{\cos^{3}{\left(a + b x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b*x**2)**3/x**2, x)","F",0
21,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**3/x**3,x)","\int \frac{\cos^{3}{\left(a + b x^{2} \right)}}{x^{3}}\, dx"," ",0,"Integral(cos(a + b*x**2)**3/x**3, x)","F",0
22,1,94,0,7.818004," ","integrate(x*cos(b*x**2+a)**7,x)","\begin{cases} \frac{8 \sin^{7}{\left(a + b x^{2} \right)}}{35 b} + \frac{4 \sin^{5}{\left(a + b x^{2} \right)} \cos^{2}{\left(a + b x^{2} \right)}}{5 b} + \frac{\sin^{3}{\left(a + b x^{2} \right)} \cos^{4}{\left(a + b x^{2} \right)}}{b} + \frac{\sin{\left(a + b x^{2} \right)} \cos^{6}{\left(a + b x^{2} \right)}}{2 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \cos^{7}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*sin(a + b*x**2)**7/(35*b) + 4*sin(a + b*x**2)**5*cos(a + b*x**2)**2/(5*b) + sin(a + b*x**2)**3*cos(a + b*x**2)**4/b + sin(a + b*x**2)*cos(a + b*x**2)**6/(2*b), Ne(b, 0)), (x**2*cos(a)**7/2, True))","A",0
23,0,0,0,0.000000," ","integrate(x**(5/2)*cos(b*x**2+a),x)","\int x^{\frac{5}{2}} \cos{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(x**(5/2)*cos(a + b*x**2), x)","F",0
24,0,0,0,0.000000," ","integrate(x**(3/2)*cos(b*x**2+a),x)","\int x^{\frac{3}{2}} \cos{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(x**(3/2)*cos(a + b*x**2), x)","F",0
25,0,0,0,0.000000," ","integrate(x**(1/2)*cos(b*x**2+a),x)","\int \sqrt{x} \cos{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(sqrt(x)*cos(a + b*x**2), x)","F",0
26,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x**(1/2),x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(cos(a + b*x**2)/sqrt(x), x)","F",0
27,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x**(3/2),x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**2)/x**(3/2), x)","F",0
28,0,0,0,0.000000," ","integrate(cos(b*x**2+a)/x**(5/2),x)","\int \frac{\cos{\left(a + b x^{2} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**2)/x**(5/2), x)","F",0
29,0,0,0,0.000000," ","integrate(x**(5/2)*cos(b*x**2+a)**2,x)","\int x^{\frac{5}{2}} \cos^{2}{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(x**(5/2)*cos(a + b*x**2)**2, x)","F",0
30,0,0,0,0.000000," ","integrate(x**(3/2)*cos(b*x**2+a)**2,x)","\int x^{\frac{3}{2}} \cos^{2}{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(x**(3/2)*cos(a + b*x**2)**2, x)","F",0
31,0,0,0,0.000000," ","integrate(x**(1/2)*cos(b*x**2+a)**2,x)","\int \sqrt{x} \cos^{2}{\left(a + b x^{2} \right)}\, dx"," ",0,"Integral(sqrt(x)*cos(a + b*x**2)**2, x)","F",0
32,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x**(1/2),x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/sqrt(x), x)","F",0
33,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x**(3/2),x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/x**(3/2), x)","F",0
34,0,0,0,0.000000," ","integrate(cos(b*x**2+a)**2/x**(5/2),x)","\int \frac{\cos^{2}{\left(a + b x^{2} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**2)**2/x**(5/2), x)","F",0
35,0,0,0,0.000000," ","integrate(cos(a+b/x),x)","\int \cos{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(cos(a + b/x), x)","F",0
36,1,15,0,0.965758," ","integrate(cos(a+b/x)/x,x)","\sin{\left(a \right)} \operatorname{Si}{\left(\frac{b}{x} \right)} - \cos{\left(a \right)} \operatorname{Ci}{\left(\frac{b}{x} \right)}"," ",0,"sin(a)*Si(b/x) - cos(a)*Ci(b/x)","A",0
37,1,15,0,0.975201," ","integrate(cos(a+b/x)/x**2,x)","\begin{cases} - \frac{\sin{\left(a + \frac{b}{x} \right)}}{b} & \text{for}\: b \neq 0 \\- \frac{\cos{\left(a \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b/x)/b, Ne(b, 0)), (-cos(a)/x, True))","A",0
38,1,31,0,1.802541," ","integrate(cos(a+b/x)/x**3,x)","\begin{cases} - \frac{\sin{\left(a + \frac{b}{x} \right)}}{b x} - \frac{\cos{\left(a + \frac{b}{x} \right)}}{b^{2}} & \text{for}\: b \neq 0 \\- \frac{\cos{\left(a \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b/x)/(b*x) - cos(a + b/x)/b**2, Ne(b, 0)), (-cos(a)/(2*x**2), True))","A",0
39,1,46,0,3.041128," ","integrate(cos(a+b/x)/x**4,x)","\begin{cases} - \frac{\sin{\left(a + \frac{b}{x} \right)}}{b x^{2}} - \frac{2 \cos{\left(a + \frac{b}{x} \right)}}{b^{2} x} + \frac{2 \sin{\left(a + \frac{b}{x} \right)}}{b^{3}} & \text{for}\: b \neq 0 \\- \frac{\cos{\left(a \right)}}{3 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b/x)/(b*x**2) - 2*cos(a + b/x)/(b**2*x) + 2*sin(a + b/x)/b**3, Ne(b, 0)), (-cos(a)/(3*x**3), True))","A",0
40,0,0,0,0.000000," ","integrate(cos(a+b/x**2),x)","\int \cos{\left(a + \frac{b}{x^{2}} \right)}\, dx"," ",0,"Integral(cos(a + b/x**2), x)","F",0
41,0,0,0,0.000000," ","integrate(cos(a+b/x**2)/x,x)","\int \frac{\cos{\left(a + \frac{b}{x^{2}} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b/x**2)/x, x)","F",0
42,0,0,0,0.000000," ","integrate(cos(a+b/x**2)/x**2,x)","\int \frac{\cos{\left(a + \frac{b}{x^{2}} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b/x**2)/x**2, x)","F",0
43,1,22,0,2.815665," ","integrate(cos(a+b/x**2)/x**3,x)","\begin{cases} - \frac{\sin{\left(a + \frac{b}{x^{2}} \right)}}{2 b} & \text{for}\: b \neq 0 \\- \frac{\cos{\left(a \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b/x**2)/(2*b), Ne(b, 0)), (-cos(a)/(2*x**2), True))","A",0
44,0,0,0,0.000000," ","integrate(cos(a+b/x**2)/x**4,x)","\int \frac{\cos{\left(a + \frac{b}{x^{2}} \right)}}{x^{4}}\, dx"," ",0,"Integral(cos(a + b/x**2)/x**4, x)","F",0
45,1,39,0,0.262686," ","integrate(cos(x**(1/2))**2/x**(1/2),x)","\sqrt{x} \sin^{2}{\left(\sqrt{x} \right)} + \sqrt{x} \cos^{2}{\left(\sqrt{x} \right)} + \sin{\left(\sqrt{x} \right)} \cos{\left(\sqrt{x} \right)}"," ",0,"sqrt(x)*sin(sqrt(x))**2 + sqrt(x)*cos(sqrt(x))**2 + sin(sqrt(x))*cos(sqrt(x))","B",0
46,1,7,0,0.248595," ","integrate(cos(x**(1/2))/x**(1/2),x)","2 \sin{\left(\sqrt{x} \right)}"," ",0,"2*sin(sqrt(x))","A",0
47,1,20,0,0.239410," ","integrate(cos(x**(1/2)),x)","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
48,1,51,0,0.254422," ","integrate(cos(x**(1/2))**2,x)","\sqrt{x} \sin{\left(\sqrt{x} \right)} \cos{\left(\sqrt{x} \right)} + \frac{x \sin^{2}{\left(\sqrt{x} \right)}}{2} + \frac{x \cos^{2}{\left(\sqrt{x} \right)}}{2} - \frac{\sin^{2}{\left(\sqrt{x} \right)}}{2}"," ",0,"sqrt(x)*sin(sqrt(x))*cos(sqrt(x)) + x*sin(sqrt(x))**2/2 + x*cos(sqrt(x))**2/2 - sin(sqrt(x))**2/2","A",0
49,0,0,0,0.000000," ","integrate(x**(3/2)*cos(a+b*x**(1/3)),x)","\int x^{\frac{3}{2}} \cos{\left(a + b \sqrt[3]{x} \right)}\, dx"," ",0,"Integral(x**(3/2)*cos(a + b*x**(1/3)), x)","F",0
50,0,0,0,0.000000," ","integrate(x**(1/2)*cos(a+b*x**(1/3)),x)","\int \sqrt{x} \cos{\left(a + b \sqrt[3]{x} \right)}\, dx"," ",0,"Integral(sqrt(x)*cos(a + b*x**(1/3)), x)","F",0
51,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))/x**(1/2),x)","\int \frac{\cos{\left(a + b \sqrt[3]{x} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))/sqrt(x), x)","F",0
52,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))/x**(3/2),x)","\int \frac{\cos{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))/x**(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))/x**(5/2),x)","\int \frac{\cos{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))/x**(5/2), x)","F",0
54,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))/x**(7/2),x)","\int \frac{\cos{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))/x**(7/2), x)","F",0
55,0,0,0,0.000000," ","integrate(x**(3/2)*cos(a+b*x**(1/3))**2,x)","\int x^{\frac{3}{2}} \cos^{2}{\left(a + b \sqrt[3]{x} \right)}\, dx"," ",0,"Integral(x**(3/2)*cos(a + b*x**(1/3))**2, x)","F",0
56,0,0,0,0.000000," ","integrate(x**(1/2)*cos(a+b*x**(1/3))**2,x)","\int \sqrt{x} \cos^{2}{\left(a + b \sqrt[3]{x} \right)}\, dx"," ",0,"Integral(sqrt(x)*cos(a + b*x**(1/3))**2, x)","F",0
57,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))**2/x**(1/2),x)","\int \frac{\cos^{2}{\left(a + b \sqrt[3]{x} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))**2/sqrt(x), x)","F",0
58,0,0,0,0.000000," ","integrate(cos(a+b*x**(1/3))**2/x**(3/2),x)","\int \frac{\cos^{2}{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))**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)","\int \frac{\cos^{2}{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))**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)","\int \frac{\cos^{2}{\left(a + b \sqrt[3]{x} \right)}}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral(cos(a + b*x**(1/3))**2/x**(7/2), x)","F",0
61,1,513,0,2.605126," ","integrate(cos(x**(1/3))**3,x)","\frac{54 x^{\frac{2}{3}} \tan^{5}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} + \frac{36 x^{\frac{2}{3}} \tan^{3}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} + \frac{54 x^{\frac{2}{3}} \tan{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} - \frac{42 \sqrt[3]{x} \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} - \frac{18 \sqrt[3]{x} \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} + \frac{18 \sqrt[3]{x} \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} + \frac{42 \sqrt[3]{x}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} - \frac{84 \tan^{5}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} - \frac{152 \tan^{3}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9} - \frac{84 \tan{\left(\frac{\sqrt[3]{x}}{2} \right)}}{9 \tan^{6}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 27 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 9}"," ",0,"54*x**(2/3)*tan(x**(1/3)/2)**5/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) + 36*x**(2/3)*tan(x**(1/3)/2)**3/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) + 54*x**(2/3)*tan(x**(1/3)/2)/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) - 42*x**(1/3)*tan(x**(1/3)/2)**6/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) - 18*x**(1/3)*tan(x**(1/3)/2)**4/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) + 18*x**(1/3)*tan(x**(1/3)/2)**2/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) + 42*x**(1/3)/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) - 84*tan(x**(1/3)/2)**5/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) - 152*tan(x**(1/3)/2)**3/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9) - 84*tan(x**(1/3)/2)/(9*tan(x**(1/3)/2)**6 + 27*tan(x**(1/3)/2)**4 + 27*tan(x**(1/3)/2)**2 + 9)","B",0
62,1,7,0,75.625728," ","integrate(cos(x**(1/6))/x**(5/6),x)","6 \sin{\left(\sqrt[6]{x} \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)","\int \left(b \cos{\left(c + d x^{n} \right)}\right)^{p} \left(e x\right)^{m}\, dx"," ",0,"Integral((b*cos(c + d*x**n))**p*(e*x)**m, x)","F",0
64,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*cos(c+d*x**n))**p,x)","\int \left(e x\right)^{m} \left(a + b \cos{\left(c + d x^{n} \right)}\right)^{p}\, dx"," ",0,"Integral((e*x)**m*(a + b*cos(c + d*x**n))**p, x)","F",0
65,0,0,0,0.000000," ","integrate((e*x)**(-1+n)*(b*cos(c+d*x**n))**p,x)","\int \left(b \cos{\left(c + d x^{n} \right)}\right)^{p} \left(e x\right)^{n - 1}\, dx"," ",0,"Integral((b*cos(c + d*x**n))**p*(e*x)**(n - 1), x)","F",0
66,0,0,0,0.000000," ","integrate((e*x)**(-1+2*n)*(b*cos(c+d*x**n))**p,x)","\int \left(b \cos{\left(c + d x^{n} \right)}\right)^{p} \left(e x\right)^{2 n - 1}\, dx"," ",0,"Integral((b*cos(c + d*x**n))**p*(e*x)**(2*n - 1), x)","F",0
67,-1,0,0,0.000000," ","integrate((e*x)**(-1+n)*(a+b*cos(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((e*x)**(-1+2*n)*(a+b*cos(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate(cos(a+b*x**n)/x,x)","\int \frac{\cos{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**n)/x, x)","F",0
70,0,0,0,0.000000," ","integrate(cos(a+b*x**n)**2/x,x)","\int \frac{\cos^{2}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**n)**2/x, x)","F",0
71,0,0,0,0.000000," ","integrate(cos(a+b*x**n)**3/x,x)","\int \frac{\cos^{3}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**n)**3/x, x)","F",0
72,0,0,0,0.000000," ","integrate(cos(a+b*x**n)**4/x,x)","\int \frac{\cos^{4}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*x**n)**4/x, x)","F",0
73,0,0,0,0.000000," ","integrate(cos(a+b*x**n),x)","\int \cos{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(cos(a + b*x**n), x)","F",0
74,0,0,0,0.000000," ","integrate(cos(a+b*x**n)**2,x)","\int \cos^{2}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(cos(a + b*x**n)**2, x)","F",0
75,0,0,0,0.000000," ","integrate(cos(a+b*x**n)**3,x)","\int \cos^{3}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(cos(a + b*x**n)**3, x)","F",0
76,0,0,0,0.000000," ","integrate(x**m*cos(a+b*x**n),x)","\int x^{m} \cos{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*cos(a + b*x**n), x)","F",0
77,0,0,0,0.000000," ","integrate(x**m*cos(a+b*x**n)**2,x)","\int x^{m} \cos^{2}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*cos(a + b*x**n)**2, x)","F",0
78,0,0,0,0.000000," ","integrate(x**m*cos(a+b*x**n)**3,x)","\int x^{m} \cos^{3}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*cos(a + b*x**n)**3, x)","F",0
79,0,0,0,0.000000," ","integrate(x**(-1-n)*cos(a+b*x**n),x)","\int x^{- n - 1} \cos{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**(-n - 1)*cos(a + b*x**n), x)","F",0
80,-1,0,0,0.000000," ","integrate(x**(-1-n)*cos(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(x**(-1-n)*cos(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate(x**(-1-2*n)*cos(a+b*x**n),x)","\int x^{- 2 n - 1} \cos{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**(-2*n - 1)*cos(a + b*x**n), x)","F",0
83,-1,0,0,0.000000," ","integrate(x**(-1-2*n)*cos(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate(x**(-1-2*n)*cos(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,0,0,0,0.000000," ","integrate(x**2*cos((b*x+a)**2),x)","\int x^{2} \cos{\left(a^{2} + 2 a b x + b^{2} x^{2} \right)}\, dx"," ",0,"Integral(x**2*cos(a**2 + 2*a*b*x + b**2*x**2), x)","F",0
86,0,0,0,0.000000," ","integrate(x*cos((b*x+a)**2),x)","\int x \cos{\left(a^{2} + 2 a b x + b^{2} x^{2} \right)}\, dx"," ",0,"Integral(x*cos(a**2 + 2*a*b*x + b**2*x**2), x)","F",0
87,0,0,0,0.000000," ","integrate(cos((b*x+a)**2),x)","\int \cos{\left(\left(a + b x\right)^{2} \right)}\, dx"," ",0,"Integral(cos((a + b*x)**2), x)","F",0
88,0,0,0,0.000000," ","integrate(cos((b*x+a)**2)/x,x)","\int \frac{\cos{\left(a^{2} + 2 a b x + b^{2} x^{2} \right)}}{x}\, dx"," ",0,"Integral(cos(a**2 + 2*a*b*x + b**2*x**2)/x, x)","F",0
89,0,0,0,0.000000," ","integrate(cos((b*x+a)**2)/x**2,x)","\int \frac{\cos{\left(a^{2} + 2 a b x + b^{2} x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a**2 + 2*a*b*x + b**2*x**2)/x**2, x)","F",0
90,1,269,0,1.646884," ","integrate(x**2*cos(a+b*(d*x+c)**(1/2)),x)","\begin{cases} \frac{x^{3} \cos{\left(a \right)}}{3} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\\frac{x^{3} \cos{\left(a + b \sqrt{c} \right)}}{3} & \text{for}\: d = 0 \\\frac{2 x^{2} \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{8 c x \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d^{2}} + \frac{10 x^{2} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} - \frac{16 c \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{3}} - \frac{40 x \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{2}} - \frac{96 c \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{3}} - \frac{120 x \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{2}} + \frac{240 \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{5} d^{3}} + \frac{240 \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{6} d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*cos(a)/3, Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), (x**3*cos(a + b*sqrt(c))/3, Eq(d, 0)), (2*x**2*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b*d) + 8*c*x*cos(a + b*sqrt(c + d*x))/(b**2*d**2) + 10*x**2*cos(a + b*sqrt(c + d*x))/(b**2*d) - 16*c*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b**3*d**3) - 40*x*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b**3*d**2) - 96*c*cos(a + b*sqrt(c + d*x))/(b**4*d**3) - 120*x*cos(a + b*sqrt(c + d*x))/(b**4*d**2) + 240*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b**5*d**3) + 240*cos(a + b*sqrt(c + d*x))/(b**6*d**3), True))","A",0
91,1,151,0,0.516865," ","integrate(x*cos(a+b*(d*x+c)**(1/2)),x)","\begin{cases} \frac{x^{2} \cos{\left(a \right)}}{2} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\\frac{x^{2} \cos{\left(a + b \sqrt{c} \right)}}{2} & \text{for}\: d = 0 \\\frac{2 x \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{4 c \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d^{2}} + \frac{6 x \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} - \frac{12 \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{2}} - \frac{12 \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*cos(a)/2, Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), (x**2*cos(a + b*sqrt(c))/2, Eq(d, 0)), (2*x*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b*d) + 4*c*cos(a + b*sqrt(c + d*x))/(b**2*d**2) + 6*x*cos(a + b*sqrt(c + d*x))/(b**2*d) - 12*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b**3*d**2) - 12*cos(a + b*sqrt(c + d*x))/(b**4*d**2), True))","A",0
92,1,66,0,0.402638," ","integrate(cos(a+b*(d*x+c)**(1/2)),x)","\begin{cases} x \cos{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\x \cos{\left(a + b \sqrt{c} \right)} & \text{for}\: d = 0 \\x \cos{\left(a \right)} & \text{for}\: b = 0 \\\frac{2 \sqrt{c + d x} \sin{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{2 \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cos(a), Eq(b, 0) & Eq(d, 0)), (x*cos(a + b*sqrt(c)), Eq(d, 0)), (x*cos(a), Eq(b, 0)), (2*sqrt(c + d*x)*sin(a + b*sqrt(c + d*x))/(b*d) + 2*cos(a + b*sqrt(c + d*x))/(b**2*d), True))","A",0
93,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)**(1/2))/x,x)","\int \frac{\cos{\left(a + b \sqrt{c + d x} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*sqrt(c + d*x))/x, x)","F",0
94,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)**(1/2))/x**2,x)","\int \frac{\cos{\left(a + b \sqrt{c + d x} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b*sqrt(c + d*x))/x**2, x)","F",0
95,0,0,0,0.000000," ","integrate(x**2*cos(a+b*(d*x+c)**(1/3)),x)","\int x^{2} \cos{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral(x**2*cos(a + b*(c + d*x)**(1/3)), x)","F",0
96,0,0,0,0.000000," ","integrate(x*cos(a+b*(d*x+c)**(1/3)),x)","\int x \cos{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral(x*cos(a + b*(c + d*x)**(1/3)), x)","F",0
97,1,94,0,1.160782," ","integrate(cos(a+b*(d*x+c)**(1/3)),x)","\begin{cases} x \cos{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\x \cos{\left(a + b \sqrt[3]{c} \right)} & \text{for}\: d = 0 \\\frac{3 \left(c + d x\right)^{\frac{2}{3}} \sin{\left(a + b \sqrt[3]{c + d x} \right)}}{b d} + \frac{6 \sqrt[3]{c + d x} \cos{\left(a + b \sqrt[3]{c + d x} \right)}}{b^{2} d} - \frac{6 \sin{\left(a + b \sqrt[3]{c + d x} \right)}}{b^{3} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*cos(a), Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), (x*cos(a + b*c**(1/3)), Eq(d, 0)), (3*(c + d*x)**(2/3)*sin(a + b*(c + d*x)**(1/3))/(b*d) + 6*(c + d*x)**(1/3)*cos(a + b*(c + d*x)**(1/3))/(b**2*d) - 6*sin(a + b*(c + d*x)**(1/3))/(b**3*d), True))","A",0
98,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)**(1/3))/x,x)","\int \frac{\cos{\left(a + b \sqrt[3]{c + d x} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*(c + d*x)**(1/3))/x, x)","F",0
99,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)**(1/3))/x**2,x)","\int \frac{\cos{\left(a + b \sqrt[3]{c + d x} \right)}}{x^{2}}\, dx"," ",0,"Integral(cos(a + b*(c + d*x)**(1/3))/x**2, x)","F",0
