1,1,65,0,3.514628," ","integrate(x**5*(a+b*sin(d*x**2+c)),x)","\begin{cases} \frac{a x^{6}}{6} - \frac{b x^{4} \cos{\left(c + d x^{2} \right)}}{2 d} + \frac{b x^{2} \sin{\left(c + d x^{2} \right)}}{d^{2}} + \frac{b \cos{\left(c + d x^{2} \right)}}{d^{3}} & \text{for}\: d \neq 0 \\\frac{x^{6} \left(a + b \sin{\left(c \right)}\right)}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**6/6 - b*x**4*cos(c + d*x**2)/(2*d) + b*x**2*sin(c + d*x**2)/d**2 + b*cos(c + d*x**2)/d**3, Ne(d, 0)), (x**6*(a + b*sin(c))/6, True))","A",0
2,1,49,0,1.050834," ","integrate(x**3*(a+b*sin(d*x**2+c)),x)","\begin{cases} \frac{a x^{4}}{4} - \frac{b x^{2} \cos{\left(c + d x^{2} \right)}}{2 d} + \frac{b \sin{\left(c + d x^{2} \right)}}{2 d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{4} \left(a + b \sin{\left(c \right)}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**4/4 - b*x**2*cos(c + d*x**2)/(2*d) + b*sin(c + d*x**2)/(2*d**2), Ne(d, 0)), (x**4*(a + b*sin(c))/4, True))","A",0
3,1,31,0,0.238777," ","integrate(x*(a+b*sin(d*x**2+c)),x)","\begin{cases} \frac{a x^{2}}{2} - \frac{b \cos{\left(c + d x^{2} \right)}}{2 d} & \text{for}\: d \neq 0 \\\frac{x^{2} \left(a + b \sin{\left(c \right)}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**2/2 - b*cos(c + d*x**2)/(2*d), Ne(d, 0)), (x**2*(a + b*sin(c))/2, True))","A",0
4,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))/x,x)","\int \frac{a + b \sin{\left(c + d x^{2} \right)}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))/x, x)","F",0
5,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))/x**3,x)","\int \frac{a + b \sin{\left(c + d x^{2} \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))/x**3, x)","F",0
6,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))/x**5,x)","\int \frac{a + b \sin{\left(c + d x^{2} \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))/x**5, x)","F",0
7,1,488,0,4.830465," ","integrate(x**4*(a+b*sin(d*x**2+c)),x)","\frac{a x^{5}}{5} - \frac{5 \sqrt{2} \sqrt{\pi} b x^{4} \sqrt{\frac{1}{d}} \sin{\left(c \right)} C\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{1}{4}\right)}{32 \Gamma\left(\frac{9}{4}\right)} + \frac{\sqrt{2} \sqrt{\pi} b x^{4} \sqrt{\frac{1}{d}} \sin{\left(c \right)} C\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right)}{2} - \frac{21 \sqrt{2} \sqrt{\pi} b x^{4} \sqrt{\frac{1}{d}} \cos{\left(c \right)} S\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{3}{4}\right)}{32 \Gamma\left(\frac{11}{4}\right)} + \frac{\sqrt{2} \sqrt{\pi} b x^{4} \sqrt{\frac{1}{d}} \cos{\left(c \right)} S\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right)}{2} - \frac{15 \sqrt{2} \sqrt{\pi} b \sqrt{\frac{1}{d}} \sin{\left(c \right)} C\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{1}{4}\right)}{128 d^{2} \Gamma\left(\frac{9}{4}\right)} - \frac{63 \sqrt{2} \sqrt{\pi} b \sqrt{\frac{1}{d}} \cos{\left(c \right)} S\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{3}{4}\right)}{128 d^{2} \Gamma\left(\frac{11}{4}\right)} + \frac{5 b x^{3} \sqrt{\frac{1}{d}} \sin{\left(c \right)} \sin{\left(d x^{2} \right)} \Gamma\left(\frac{1}{4}\right)}{32 \sqrt{d} \Gamma\left(\frac{9}{4}\right)} - \frac{21 b x^{3} \sqrt{\frac{1}{d}} \cos{\left(c \right)} \cos{\left(d x^{2} \right)} \Gamma\left(\frac{3}{4}\right)}{32 \sqrt{d} \Gamma\left(\frac{11}{4}\right)} + \frac{15 b x \sqrt{\frac{1}{d}} \sin{\left(c \right)} \cos{\left(d x^{2} \right)} \Gamma\left(\frac{1}{4}\right)}{64 d^{\frac{3}{2}} \Gamma\left(\frac{9}{4}\right)} + \frac{63 b x \sqrt{\frac{1}{d}} \sin{\left(d x^{2} \right)} \cos{\left(c \right)} \Gamma\left(\frac{3}{4}\right)}{64 d^{\frac{3}{2}} \Gamma\left(\frac{11}{4}\right)}"," ",0,"a*x**5/5 - 5*sqrt(2)*sqrt(pi)*b*x**4*sqrt(1/d)*sin(c)*fresnelc(sqrt(2)*sqrt(d)*x/sqrt(pi))*gamma(1/4)/(32*gamma(9/4)) + sqrt(2)*sqrt(pi)*b*x**4*sqrt(1/d)*sin(c)*fresnelc(sqrt(2)*sqrt(d)*x/sqrt(pi))/2 - 21*sqrt(2)*sqrt(pi)*b*x**4*sqrt(1/d)*cos(c)*fresnels(sqrt(2)*sqrt(d)*x/sqrt(pi))*gamma(3/4)/(32*gamma(11/4)) + sqrt(2)*sqrt(pi)*b*x**4*sqrt(1/d)*cos(c)*fresnels(sqrt(2)*sqrt(d)*x/sqrt(pi))/2 - 15*sqrt(2)*sqrt(pi)*b*sqrt(1/d)*sin(c)*fresnelc(sqrt(2)*sqrt(d)*x/sqrt(pi))*gamma(1/4)/(128*d**2*gamma(9/4)) - 63*sqrt(2)*sqrt(pi)*b*sqrt(1/d)*cos(c)*fresnels(sqrt(2)*sqrt(d)*x/sqrt(pi))*gamma(3/4)/(128*d**2*gamma(11/4)) + 5*b*x**3*sqrt(1/d)*sin(c)*sin(d*x**2)*gamma(1/4)/(32*sqrt(d)*gamma(9/4)) - 21*b*x**3*sqrt(1/d)*cos(c)*cos(d*x**2)*gamma(3/4)/(32*sqrt(d)*gamma(11/4)) + 15*b*x*sqrt(1/d)*sin(c)*cos(d*x**2)*gamma(1/4)/(64*d**(3/2)*gamma(9/4)) + 63*b*x*sqrt(1/d)*sin(d*x**2)*cos(c)*gamma(3/4)/(64*d**(3/2)*gamma(11/4))","B",0
8,1,223,0,3.777118," ","integrate(x**2*(a+b*sin(d*x**2+c)),x)","\frac{a x^{3}}{3} - \frac{b d^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{d}} \cos{\left(c \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{d^{2} x^{4}}{4}} \right)}}{8 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)} - \frac{b \sqrt{d} x^{3} \sqrt{\frac{1}{d}} \sin{\left(c \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{d^{2} x^{4}}{4}} \right)}}{8 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)} + \frac{\sqrt{2} \sqrt{\pi} b x^{2} \sqrt{\frac{1}{d}} \sin{\left(c \right)} C\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right)}{2} + \frac{\sqrt{2} \sqrt{\pi} b x^{2} \sqrt{\frac{1}{d}} \cos{\left(c \right)} S\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right)}{2}"," ",0,"a*x**3/3 - b*d**(3/2)*x**5*sqrt(1/d)*cos(c)*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -d**2*x**4/4)/(8*gamma(7/4)*gamma(9/4)) - b*sqrt(d)*x**3*sqrt(1/d)*sin(c)*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -d**2*x**4/4)/(8*gamma(5/4)*gamma(7/4)) + sqrt(2)*sqrt(pi)*b*x**2*sqrt(1/d)*sin(c)*fresnelc(sqrt(2)*sqrt(d)*x/sqrt(pi))/2 + sqrt(2)*sqrt(pi)*b*x**2*sqrt(1/d)*cos(c)*fresnels(sqrt(2)*sqrt(d)*x/sqrt(pi))/2","B",0
9,1,66,0,0.544898," ","integrate(a+b*sin(d*x**2+c),x)","a x + \frac{\sqrt{2} \sqrt{\pi} b \left(\sin{\left(c \right)} C\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right) + \cos{\left(c \right)} S\left(\frac{\sqrt{2} \sqrt{d} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{d}}}{2}"," ",0,"a*x + sqrt(2)*sqrt(pi)*b*(sin(c)*fresnelc(sqrt(2)*sqrt(d)*x/sqrt(pi)) + cos(c)*fresnels(sqrt(2)*sqrt(d)*x/sqrt(pi)))*sqrt(1/d)/2","A",0
10,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))/x**2,x)","\int \frac{a + b \sin{\left(c + d x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))/x**2, x)","F",0
11,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))/x**4,x)","\int \frac{a + b \sin{\left(c + d x^{2} \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))/x**4, x)","F",0
12,1,209,0,6.794226," ","integrate(x**5*(a+b*sin(d*x**2+c))**2,x)","\begin{cases} \frac{a^{2} x^{6}}{6} - \frac{a b x^{4} \cos{\left(c + d x^{2} \right)}}{d} + \frac{2 a b x^{2} \sin{\left(c + d x^{2} \right)}}{d^{2}} + \frac{2 a b \cos{\left(c + d x^{2} \right)}}{d^{3}} + \frac{b^{2} x^{6} \sin^{2}{\left(c + d x^{2} \right)}}{12} + \frac{b^{2} x^{6} \cos^{2}{\left(c + d x^{2} \right)}}{12} - \frac{b^{2} x^{4} \sin{\left(c + d x^{2} \right)} \cos{\left(c + d x^{2} \right)}}{4 d} + \frac{b^{2} x^{2} \sin^{2}{\left(c + d x^{2} \right)}}{8 d^{2}} - \frac{b^{2} x^{2} \cos^{2}{\left(c + d x^{2} \right)}}{8 d^{2}} + \frac{b^{2} \sin{\left(c + d x^{2} \right)} \cos{\left(c + d x^{2} \right)}}{8 d^{3}} & \text{for}\: d \neq 0 \\\frac{x^{6} \left(a + b \sin{\left(c \right)}\right)^{2}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**6/6 - a*b*x**4*cos(c + d*x**2)/d + 2*a*b*x**2*sin(c + d*x**2)/d**2 + 2*a*b*cos(c + d*x**2)/d**3 + b**2*x**6*sin(c + d*x**2)**2/12 + b**2*x**6*cos(c + d*x**2)**2/12 - b**2*x**4*sin(c + d*x**2)*cos(c + d*x**2)/(4*d) + b**2*x**2*sin(c + d*x**2)**2/(8*d**2) - b**2*x**2*cos(c + d*x**2)**2/(8*d**2) + b**2*sin(c + d*x**2)*cos(c + d*x**2)/(8*d**3), Ne(d, 0)), (x**6*(a + b*sin(c))**2/6, True))","A",0
13,1,136,0,2.283672," ","integrate(x**3*(a+b*sin(d*x**2+c))**2,x)","\begin{cases} \frac{a^{2} x^{4}}{4} - \frac{a b x^{2} \cos{\left(c + d x^{2} \right)}}{d} + \frac{a b \sin{\left(c + d x^{2} \right)}}{d^{2}} + \frac{b^{2} x^{4} \sin^{2}{\left(c + d x^{2} \right)}}{8} + \frac{b^{2} x^{4} \cos^{2}{\left(c + d x^{2} \right)}}{8} - \frac{b^{2} x^{2} \sin{\left(c + d x^{2} \right)} \cos{\left(c + d x^{2} \right)}}{4 d} + \frac{b^{2} \sin^{2}{\left(c + d x^{2} \right)}}{8 d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{4} \left(a + b \sin{\left(c \right)}\right)^{2}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**4/4 - a*b*x**2*cos(c + d*x**2)/d + a*b*sin(c + d*x**2)/d**2 + b**2*x**4*sin(c + d*x**2)**2/8 + b**2*x**4*cos(c + d*x**2)**2/8 - b**2*x**2*sin(c + d*x**2)*cos(c + d*x**2)/(4*d) + b**2*sin(c + d*x**2)**2/(8*d**2), Ne(d, 0)), (x**4*(a + b*sin(c))**2/4, True))","A",0
14,1,95,0,0.607333," ","integrate(x*(a+b*sin(d*x**2+c))**2,x)","\begin{cases} \frac{a^{2} x^{2}}{2} - \frac{a b \cos{\left(c + d x^{2} \right)}}{d} + \frac{b^{2} x^{2} \sin^{2}{\left(c + d x^{2} \right)}}{4} + \frac{b^{2} x^{2} \cos^{2}{\left(c + d x^{2} \right)}}{4} - \frac{b^{2} \sin{\left(c + d x^{2} \right)} \cos{\left(c + d x^{2} \right)}}{4 d} & \text{for}\: d \neq 0 \\\frac{x^{2} \left(a + b \sin{\left(c \right)}\right)^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**2/2 - a*b*cos(c + d*x**2)/d + b**2*x**2*sin(c + d*x**2)**2/4 + b**2*x**2*cos(c + d*x**2)**2/4 - b**2*sin(c + d*x**2)*cos(c + d*x**2)/(4*d), Ne(d, 0)), (x**2*(a + b*sin(c))**2/2, True))","A",0
15,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2/x,x)","\int \frac{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2/x, x)","F",0
16,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2/x**3,x)","\int \frac{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2/x**3, x)","F",0
17,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2/x**5,x)","\int \frac{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}{x^{5}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2/x**5, x)","F",0
18,0,0,0,0.000000," ","integrate(x**4*(a+b*sin(d*x**2+c))**2,x)","\int x^{4} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral(x**4*(a + b*sin(c + d*x**2))**2, x)","F",0
19,0,0,0,0.000000," ","integrate(x**2*(a+b*sin(d*x**2+c))**2,x)","\int x^{2} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(a + b*sin(c + d*x**2))**2, x)","F",0
20,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2,x)","\int \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2, x)","F",0
21,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2/x**2,x)","\int \frac{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2/x**2, x)","F",0
22,0,0,0,0.000000," ","integrate((a+b*sin(d*x**2+c))**2/x**4,x)","\int \frac{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**2/x**4, x)","F",0
23,1,143,0,10.333076," ","integrate(x**5*sin(b*x**2+a)**3,x)","\begin{cases} - \frac{x^{4} \sin^{2}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{2 b} - \frac{x^{4} \cos^{3}{\left(a + b x^{2} \right)}}{3 b} + \frac{7 x^{2} \sin^{3}{\left(a + b x^{2} \right)}}{9 b^{2}} + \frac{2 x^{2} \sin{\left(a + b x^{2} \right)} \cos^{2}{\left(a + b x^{2} \right)}}{3 b^{2}} + \frac{7 \sin^{2}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{9 b^{3}} + \frac{20 \cos^{3}{\left(a + b x^{2} \right)}}{27 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{6} \sin^{3}{\left(a \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**4*sin(a + b*x**2)**2*cos(a + b*x**2)/(2*b) - x**4*cos(a + b*x**2)**3/(3*b) + 7*x**2*sin(a + b*x**2)**3/(9*b**2) + 2*x**2*sin(a + b*x**2)*cos(a + b*x**2)**2/(3*b**2) + 7*sin(a + b*x**2)**2*cos(a + b*x**2)/(9*b**3) + 20*cos(a + b*x**2)**3/(27*b**3), Ne(b, 0)), (x**6*sin(a)**3/6, True))","A",0
24,1,92,0,3.527174," ","integrate(x**3*sin(b*x**2+a)**3,x)","\begin{cases} - \frac{x^{2} \sin^{2}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{2 b} - \frac{x^{2} \cos^{3}{\left(a + b x^{2} \right)}}{3 b} + \frac{7 \sin^{3}{\left(a + b x^{2} \right)}}{18 b^{2}} + \frac{\sin{\left(a + b x^{2} \right)} \cos^{2}{\left(a + b x^{2} \right)}}{3 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{4} \sin^{3}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**2*sin(a + b*x**2)**2*cos(a + b*x**2)/(2*b) - x**2*cos(a + b*x**2)**3/(3*b) + 7*sin(a + b*x**2)**3/(18*b**2) + sin(a + b*x**2)*cos(a + b*x**2)**2/(3*b**2), Ne(b, 0)), (x**4*sin(a)**3/4, True))","A",0
25,1,46,0,0.940563," ","integrate(x*sin(b*x**2+a)**3,x)","\begin{cases} - \frac{\sin^{2}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{2 b} - \frac{\cos^{3}{\left(a + b x^{2} \right)}}{3 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \sin^{3}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b*x**2)**2*cos(a + b*x**2)/(2*b) - cos(a + b*x**2)**3/(3*b), Ne(b, 0)), (x**2*sin(a)**3/2, True))","A",0
26,0,0,0,0.000000," ","integrate(sin(b*x**2+a)**3/x,x)","\int \frac{\sin^{3}{\left(a + b x^{2} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*x**2)**3/x, x)","F",0
27,0,0,0,0.000000," ","integrate(sin(b*x**2+a)**3/x**3,x)","\int \frac{\sin^{3}{\left(a + b x^{2} \right)}}{x^{3}}\, dx"," ",0,"Integral(sin(a + b*x**2)**3/x**3, x)","F",0
28,1,439,0,4.790644," ","integrate(x**2*sin(b*x**2+a)**3,x)","- \frac{3 b^{\frac{3}{2}} x^{5} \sqrt{\frac{1}{b}} \cos{\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}} \cos{\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}} \sin{\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}} \sin{\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)} C\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)} C\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)} S\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)} S\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right)}{24}"," ",0,"-3*b**(3/2)*x**5*sqrt(1/b)*cos(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)*cos(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)*sin(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)*sin(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)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi))/8 - sqrt(6)*sqrt(pi)*x**2*sqrt(1/b)*sin(3*a)*fresnelc(sqrt(6)*sqrt(b)*x/sqrt(pi))/24 + 3*sqrt(2)*sqrt(pi)*x**2*sqrt(1/b)*cos(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi))/8 - sqrt(6)*sqrt(pi)*x**2*sqrt(1/b)*cos(3*a)*fresnels(sqrt(6)*sqrt(b)*x/sqrt(pi))/24","B",0
29,1,129,0,1.357179," ","integrate(sin(b*x**2+a)**3,x)","\frac{3 \sqrt{2} \sqrt{\pi} \left(\sin{\left(a \right)} C\left(\frac{\sqrt{2} \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(a \right)} S\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)} C\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right) + \cos{\left(3 a \right)} S\left(\frac{\sqrt{6} \sqrt{b} x}{\sqrt{\pi}}\right)\right) \sqrt{\frac{1}{b}}}{24}"," ",0,"3*sqrt(2)*sqrt(pi)*(sin(a)*fresnelc(sqrt(2)*sqrt(b)*x/sqrt(pi)) + cos(a)*fresnels(sqrt(2)*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/8 - sqrt(6)*sqrt(pi)*(sin(3*a)*fresnelc(sqrt(6)*sqrt(b)*x/sqrt(pi)) + cos(3*a)*fresnels(sqrt(6)*sqrt(b)*x/sqrt(pi)))*sqrt(1/b)/24","A",0
30,0,0,0,0.000000," ","integrate(sin(b*x**2+a)**3/x**2,x)","\int \frac{\sin^{3}{\left(a + b x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral(sin(a + b*x**2)**3/x**2, x)","F",0
31,1,116,0,4.104960," ","integrate(x**2*sin(x**2)**3,x)","- \frac{15 x \cos{\left(x^{2} \right)} \Gamma\left(\frac{5}{4}\right)}{32 \Gamma\left(\frac{9}{4}\right)} + \frac{5 x \cos{\left(3 x^{2} \right)} \Gamma\left(\frac{5}{4}\right)}{96 \Gamma\left(\frac{9}{4}\right)} + \frac{15 \sqrt{2} \sqrt{\pi} C\left(\frac{\sqrt{2} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{5}{4}\right)}{64 \Gamma\left(\frac{9}{4}\right)} - \frac{5 \sqrt{6} \sqrt{\pi} C\left(\frac{\sqrt{6} x}{\sqrt{\pi}}\right) \Gamma\left(\frac{5}{4}\right)}{576 \Gamma\left(\frac{9}{4}\right)}"," ",0,"-15*x*cos(x**2)*gamma(5/4)/(32*gamma(9/4)) + 5*x*cos(3*x**2)*gamma(5/4)/(96*gamma(9/4)) + 15*sqrt(2)*sqrt(pi)*fresnelc(sqrt(2)*x/sqrt(pi))*gamma(5/4)/(64*gamma(9/4)) - 5*sqrt(6)*sqrt(pi)*fresnelc(sqrt(6)*x/sqrt(pi))*gamma(5/4)/(576*gamma(9/4))","A",0
32,1,291,0,3.910995," ","integrate(x**4*cos(x**2)*sin(x**2)**2,x)","- \frac{9 x^{5} \Gamma\left(- \frac{9}{4}\right)}{40 \Gamma\left(- \frac{5}{4}\right)} + \frac{9 x^{3} \sin{\left(x^{2} \right)} \Gamma\left(- \frac{9}{4}\right)}{32 \Gamma\left(- \frac{5}{4}\right)} - \frac{5 x^{3} \sin{\left(x^{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{16 \Gamma\left(- \frac{1}{4}\right)} + \frac{3 x^{3} \sin{\left(3 x^{2} \right)} \Gamma\left(- \frac{9}{4}\right)}{32 \Gamma\left(- \frac{5}{4}\right)} + \frac{27 x \cos{\left(x^{2} \right)} \Gamma\left(- \frac{9}{4}\right)}{64 \Gamma\left(- \frac{5}{4}\right)} - \frac{15 x \cos{\left(x^{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{32 \Gamma\left(- \frac{1}{4}\right)} + \frac{3 x \cos{\left(3 x^{2} \right)} \Gamma\left(- \frac{9}{4}\right)}{64 \Gamma\left(- \frac{5}{4}\right)} + \frac{15 \sqrt{2} \sqrt{\pi} C\left(\frac{\sqrt{2} x}{\sqrt{\pi}}\right) \Gamma\left(- \frac{5}{4}\right)}{64 \Gamma\left(- \frac{1}{4}\right)} - \frac{27 \sqrt{2} \sqrt{\pi} C\left(\frac{\sqrt{2} x}{\sqrt{\pi}}\right) \Gamma\left(- \frac{9}{4}\right)}{128 \Gamma\left(- \frac{5}{4}\right)} - \frac{\sqrt{6} \sqrt{\pi} C\left(\frac{\sqrt{6} x}{\sqrt{\pi}}\right) \Gamma\left(- \frac{9}{4}\right)}{128 \Gamma\left(- \frac{5}{4}\right)}"," ",0,"-9*x**5*gamma(-9/4)/(40*gamma(-5/4)) + 9*x**3*sin(x**2)*gamma(-9/4)/(32*gamma(-5/4)) - 5*x**3*sin(x**2)*gamma(-5/4)/(16*gamma(-1/4)) + 3*x**3*sin(3*x**2)*gamma(-9/4)/(32*gamma(-5/4)) + 27*x*cos(x**2)*gamma(-9/4)/(64*gamma(-5/4)) - 15*x*cos(x**2)*gamma(-5/4)/(32*gamma(-1/4)) + 3*x*cos(3*x**2)*gamma(-9/4)/(64*gamma(-5/4)) + 15*sqrt(2)*sqrt(pi)*fresnelc(sqrt(2)*x/sqrt(pi))*gamma(-5/4)/(64*gamma(-1/4)) - 27*sqrt(2)*sqrt(pi)*fresnelc(sqrt(2)*x/sqrt(pi))*gamma(-9/4)/(128*gamma(-5/4)) - sqrt(6)*sqrt(pi)*fresnelc(sqrt(6)*x/sqrt(pi))*gamma(-9/4)/(128*gamma(-5/4))","B",0
33,1,95,0,9.991000," ","integrate(x*sin(b*x**2+a)**7,x)","\begin{cases} - \frac{\sin^{6}{\left(a + b x^{2} \right)} \cos{\left(a + b x^{2} \right)}}{2 b} - \frac{\sin^{4}{\left(a + b x^{2} \right)} \cos^{3}{\left(a + b x^{2} \right)}}{b} - \frac{4 \sin^{2}{\left(a + b x^{2} \right)} \cos^{5}{\left(a + b x^{2} \right)}}{5 b} - \frac{8 \cos^{7}{\left(a + b x^{2} \right)}}{35 b} & \text{for}\: b \neq 0 \\\frac{x^{2} \sin^{7}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-sin(a + b*x**2)**6*cos(a + b*x**2)/(2*b) - sin(a + b*x**2)**4*cos(a + b*x**2)**3/b - 4*sin(a + b*x**2)**2*cos(a + b*x**2)**5/(5*b) - 8*cos(a + b*x**2)**7/(35*b), Ne(b, 0)), (x**2*sin(a)**7/2, True))","A",0
34,1,51,0,4.684303," ","integrate((1+sin(x**2))**2/x**3,x)","- \log{\left(x^{2} \right)} + \frac{\log{\left(x^{4} \right)}}{2} + \operatorname{Ci}{\left(x^{2} \right)} + \frac{\operatorname{Si}{\left(2 x^{2} \right)}}{2} - \frac{\sin{\left(x^{2} \right)}}{x^{2}} + \frac{\cos{\left(2 x^{2} \right)}}{4 x^{2}} - \frac{3}{4 x^{2}}"," ",0,"-log(x**2) + log(x**4)/2 + Ci(x**2) + Si(2*x**2)/2 - sin(x**2)/x**2 + cos(2*x**2)/(4*x**2) - 3/(4*x**2)","A",0
35,0,0,0,0.000000," ","integrate(x**5/(a+b*sin(d*x**2+c)),x)","\int \frac{x^{5}}{a + b \sin{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(x**5/(a + b*sin(c + d*x**2)), x)","F",0
36,0,0,0,0.000000," ","integrate(x**3/(a+b*sin(d*x**2+c)),x)","\int \frac{x^{3}}{a + b \sin{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(x**3/(a + b*sin(c + d*x**2)), x)","F",0
37,1,192,0,11.766425," ","integrate(x/(a+b*sin(d*x**2+c)),x)","\begin{cases} \frac{x^{2}}{2 \left(a + b \sin{\left(c \right)}\right)} & \text{for}\: d = 0 \\\frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{2}}{2} \right)} \right)}}{2 b d} & \text{for}\: a = 0 \\\frac{\sqrt{b^{2}}}{b^{2} d \tan{\left(\frac{c}{2} + \frac{d x^{2}}{2} \right)} - b d \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{b^{2}} \\- \frac{\sqrt{b^{2}}}{b^{2} d \tan{\left(\frac{c}{2} + \frac{d x^{2}}{2} \right)} + b d \sqrt{b^{2}}} & \text{for}\: a = \sqrt{b^{2}} \\\frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{2}}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{2 d \sqrt{- a^{2} + b^{2}}} - \frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{2}}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{2 d \sqrt{- a^{2} + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2/(2*(a + b*sin(c))), Eq(d, 0)), (log(tan(c/2 + d*x**2/2))/(2*b*d), Eq(a, 0)), (sqrt(b**2)/(b**2*d*tan(c/2 + d*x**2/2) - b*d*sqrt(b**2)), Eq(a, -sqrt(b**2))), (-sqrt(b**2)/(b**2*d*tan(c/2 + d*x**2/2) + b*d*sqrt(b**2)), Eq(a, sqrt(b**2))), (log(tan(c/2 + d*x**2/2) + b/a - sqrt(-a**2 + b**2)/a)/(2*d*sqrt(-a**2 + b**2)) - log(tan(c/2 + d*x**2/2) + b/a + sqrt(-a**2 + b**2)/a)/(2*d*sqrt(-a**2 + b**2)), True))","A",0
38,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x**2+c)),x)","\int \frac{1}{x \left(a + b \sin{\left(c + d x^{2} \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*sin(c + d*x**2))), x)","F",0
39,0,0,0,0.000000," ","integrate(1/x**3/(a+b*sin(d*x**2+c)),x)","\int \frac{1}{x^{3} \left(a + b \sin{\left(c + d x^{2} \right)}\right)}\, dx"," ",0,"Integral(1/(x**3*(a + b*sin(c + d*x**2))), x)","F",0
40,0,0,0,0.000000," ","integrate(x**2/(a+b*sin(d*x**2+c)),x)","\int \frac{x^{2}}{a + b \sin{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(x**2/(a + b*sin(c + d*x**2)), x)","F",0
41,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x**2+c)),x)","\int \frac{1}{a + b \sin{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(1/(a + b*sin(c + d*x**2)), x)","F",0
42,0,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(d*x**2+c)),x)","\int \frac{1}{x^{2} \left(a + b \sin{\left(c + d x^{2} \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*sin(c + d*x**2))), x)","F",0
43,-1,0,0,0.000000," ","integrate(x**5/(a+b*sin(d*x**2+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,0,0,0,0.000000," ","integrate(x**3/(a+b*sin(d*x**2+c))**2,x)","\int \frac{x^{3}}{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/(a + b*sin(c + d*x**2))**2, x)","F",0
45,0,0,0,0.000000," ","integrate(x/(a+b*sin(d*x**2+c))**2,x)","\int \frac{x}{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(a + b*sin(c + d*x**2))**2, x)","F",0
46,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x**2+c))**2,x)","\int \frac{1}{x \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*sin(c + d*x**2))**2), x)","F",0
47,0,0,0,0.000000," ","integrate(1/x**3/(a+b*sin(d*x**2+c))**2,x)","\int \frac{1}{x^{3} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**3*(a + b*sin(c + d*x**2))**2), x)","F",0
48,0,0,0,0.000000," ","integrate(x**2/(a+b*sin(d*x**2+c))**2,x)","\int \frac{x^{2}}{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(a + b*sin(c + d*x**2))**2, x)","F",0
49,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x**2+c))**2,x)","\int \frac{1}{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**2))**(-2), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(d*x**2+c))**2,x)","\int \frac{1}{x^{2} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*sin(c + d*x**2))**2), x)","F",0
51,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**2+c))**p,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{p}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**2))**p, x)","F",0
52,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**2+c))**3,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{3}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**2))**3, x)","F",0
53,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**2+c))**2,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**2))**2, x)","F",0
54,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**2+c)),x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{2} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**2)), x)","F",0
55,0,0,0,0.000000," ","integrate((e*x)**m/(a+b*sin(d*x**2+c)),x)","\int \frac{\left(e x\right)^{m}}{a + b \sin{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral((e*x)**m/(a + b*sin(c + d*x**2)), x)","F",0
56,0,0,0,0.000000," ","integrate((e*x)**m/(a+b*sin(d*x**2+c))**2,x)","\int \frac{\left(e x\right)^{m}}{\left(a + b \sin{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m/(a + b*sin(c + d*x**2))**2, x)","F",0
57,1,49,0,3.533782," ","integrate(x**5*(a+b*sin(d*x**3+c)),x)","\begin{cases} \frac{a x^{6}}{6} - \frac{b x^{3} \cos{\left(c + d x^{3} \right)}}{3 d} + \frac{b \sin{\left(c + d x^{3} \right)}}{3 d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{6} \left(a + b \sin{\left(c \right)}\right)}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**6/6 - b*x**3*cos(c + d*x**3)/(3*d) + b*sin(c + d*x**3)/(3*d**2), Ne(d, 0)), (x**6*(a + b*sin(c))/6, True))","A",0
58,1,31,0,0.516589," ","integrate(x**2*(a+b*sin(d*x**3+c)),x)","\begin{cases} \frac{a x^{3}}{3} - \frac{b \cos{\left(c + d x^{3} \right)}}{3 d} & \text{for}\: d \neq 0 \\\frac{x^{3} \left(a + b \sin{\left(c \right)}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**3/3 - b*cos(c + d*x**3)/(3*d), Ne(d, 0)), (x**3*(a + b*sin(c))/3, True))","A",0
59,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x, x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x**4,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x**4, x)","F",0
61,0,0,0,0.000000," ","integrate(x**4*(a+b*sin(d*x**3+c)),x)","\int x^{4} \left(a + b \sin{\left(c + d x^{3} \right)}\right)\, dx"," ",0,"Integral(x**4*(a + b*sin(c + d*x**3)), x)","F",0
62,0,0,0,0.000000," ","integrate(x*(a+b*sin(d*x**3+c)),x)","\int x \left(a + b \sin{\left(c + d x^{3} \right)}\right)\, dx"," ",0,"Integral(x*(a + b*sin(c + d*x**3)), x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x**2,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x**2, x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x**5,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x**5, x)","F",0
65,0,0,0,0.000000," ","integrate(x**3*(a+b*sin(d*x**3+c)),x)","\int x^{3} \left(a + b \sin{\left(c + d x^{3} \right)}\right)\, dx"," ",0,"Integral(x**3*(a + b*sin(c + d*x**3)), x)","F",0
66,0,0,0,0.000000," ","integrate(a+b*sin(d*x**3+c),x)","\int \left(a + b \sin{\left(c + d x^{3} \right)}\right)\, dx"," ",0,"Integral(a + b*sin(c + d*x**3), x)","F",0
67,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x**3,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x**3, x)","F",0
68,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))/x**6,x)","\int \frac{a + b \sin{\left(c + d x^{3} \right)}}{x^{6}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))/x**6, x)","F",0
69,1,143,0,6.355234," ","integrate(x**5*(a+b*sin(d*x**3+c))**2,x)","\begin{cases} \frac{a^{2} x^{6}}{6} - \frac{2 a b x^{3} \cos{\left(c + d x^{3} \right)}}{3 d} + \frac{2 a b \sin{\left(c + d x^{3} \right)}}{3 d^{2}} + \frac{b^{2} x^{6} \sin^{2}{\left(c + d x^{3} \right)}}{12} + \frac{b^{2} x^{6} \cos^{2}{\left(c + d x^{3} \right)}}{12} - \frac{b^{2} x^{3} \sin{\left(c + d x^{3} \right)} \cos{\left(c + d x^{3} \right)}}{6 d} - \frac{b^{2} \cos^{2}{\left(c + d x^{3} \right)}}{12 d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{6} \left(a + b \sin{\left(c \right)}\right)^{2}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**6/6 - 2*a*b*x**3*cos(c + d*x**3)/(3*d) + 2*a*b*sin(c + d*x**3)/(3*d**2) + b**2*x**6*sin(c + d*x**3)**2/12 + b**2*x**6*cos(c + d*x**3)**2/12 - b**2*x**3*sin(c + d*x**3)*cos(c + d*x**3)/(6*d) - b**2*cos(c + d*x**3)**2/(12*d**2), Ne(d, 0)), (x**6*(a + b*sin(c))**2/6, True))","A",0
70,1,99,0,1.091719," ","integrate(x**2*(a+b*sin(d*x**3+c))**2,x)","\begin{cases} \frac{a^{2} x^{3}}{3} - \frac{2 a b \cos{\left(c + d x^{3} \right)}}{3 d} + \frac{b^{2} x^{3} \sin^{2}{\left(c + d x^{3} \right)}}{6} + \frac{b^{2} x^{3} \cos^{2}{\left(c + d x^{3} \right)}}{6} - \frac{b^{2} \sin{\left(c + d x^{3} \right)} \cos{\left(c + d x^{3} \right)}}{6 d} & \text{for}\: d \neq 0 \\\frac{x^{3} \left(a + b \sin{\left(c \right)}\right)^{2}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**3/3 - 2*a*b*cos(c + d*x**3)/(3*d) + b**2*x**3*sin(c + d*x**3)**2/6 + b**2*x**3*cos(c + d*x**3)**2/6 - b**2*sin(c + d*x**3)*cos(c + d*x**3)/(6*d), Ne(d, 0)), (x**3*(a + b*sin(c))**2/3, True))","A",0
71,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x, x)","F",0
72,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x**4,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x**4, x)","F",0
73,0,0,0,0.000000," ","integrate(x**4*(a+b*sin(d*x**3+c))**2,x)","\int x^{4} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}\, dx"," ",0,"Integral(x**4*(a + b*sin(c + d*x**3))**2, x)","F",0
74,0,0,0,0.000000," ","integrate(x*(a+b*sin(d*x**3+c))**2,x)","\int x \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}\, dx"," ",0,"Integral(x*(a + b*sin(c + d*x**3))**2, x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x**2,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x**2, x)","F",0
76,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x**5,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x^{5}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x**5, x)","F",0
77,0,0,0,0.000000," ","integrate(x**3*(a+b*sin(d*x**3+c))**2,x)","\int x^{3} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*(a + b*sin(c + d*x**3))**2, x)","F",0
78,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2,x)","\int \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2, x)","F",0
79,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x**3,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x**3, x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*sin(d*x**3+c))**2/x**6,x)","\int \frac{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}{x^{6}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**2/x**6, x)","F",0
81,0,0,0,0.000000," ","integrate(x**5/(a+b*sin(d*x**3+c)),x)","\int \frac{x^{5}}{a + b \sin{\left(c + d x^{3} \right)}}\, dx"," ",0,"Integral(x**5/(a + b*sin(c + d*x**3)), x)","F",0
82,1,202,0,18.161973," ","integrate(x**2/(a+b*sin(d*x**3+c)),x)","\begin{cases} \frac{2 \sqrt{b^{2}}}{3 b^{2} d \tan{\left(\frac{c}{2} + \frac{d x^{3}}{2} \right)} - 3 b d \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{b^{2}} \\- \frac{2 \sqrt{b^{2}}}{3 b^{2} d \tan{\left(\frac{c}{2} + \frac{d x^{3}}{2} \right)} + 3 b d \sqrt{b^{2}}} & \text{for}\: a = \sqrt{b^{2}} \\\frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{3}}{2} \right)} \right)}}{3 b d} & \text{for}\: a = 0 \\\frac{x^{3}}{3 \left(a + b \sin{\left(c \right)}\right)} & \text{for}\: d = 0 \\\frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{3}}{2} \right)} + \frac{b}{a} - \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{3 d \sqrt{- a^{2} + b^{2}}} - \frac{\log{\left(\tan{\left(\frac{c}{2} + \frac{d x^{3}}{2} \right)} + \frac{b}{a} + \frac{\sqrt{- a^{2} + b^{2}}}{a} \right)}}{3 d \sqrt{- a^{2} + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(b**2)/(3*b**2*d*tan(c/2 + d*x**3/2) - 3*b*d*sqrt(b**2)), Eq(a, -sqrt(b**2))), (-2*sqrt(b**2)/(3*b**2*d*tan(c/2 + d*x**3/2) + 3*b*d*sqrt(b**2)), Eq(a, sqrt(b**2))), (log(tan(c/2 + d*x**3/2))/(3*b*d), Eq(a, 0)), (x**3/(3*(a + b*sin(c))), Eq(d, 0)), (log(tan(c/2 + d*x**3/2) + b/a - sqrt(-a**2 + b**2)/a)/(3*d*sqrt(-a**2 + b**2)) - log(tan(c/2 + d*x**3/2) + b/a + sqrt(-a**2 + b**2)/a)/(3*d*sqrt(-a**2 + b**2)), True))","A",0
83,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x**3+c)),x)","\int \frac{1}{x \left(a + b \sin{\left(c + d x^{3} \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*sin(c + d*x**3))), x)","F",0
84,0,0,0,0.000000," ","integrate(1/x**4/(a+b*sin(d*x**3+c)),x)","\int \frac{1}{x^{4} \left(a + b \sin{\left(c + d x^{3} \right)}\right)}\, dx"," ",0,"Integral(1/(x**4*(a + b*sin(c + d*x**3))), x)","F",0
85,0,0,0,0.000000," ","integrate(x/(a+b*sin(d*x**3+c)),x)","\int \frac{x}{a + b \sin{\left(c + d x^{3} \right)}}\, dx"," ",0,"Integral(x/(a + b*sin(c + d*x**3)), x)","F",0
86,0,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(d*x**3+c)),x)","\int \frac{1}{x^{2} \left(a + b \sin{\left(c + d x^{3} \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*sin(c + d*x**3))), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x**3+c)),x)","\int \frac{1}{a + b \sin{\left(c + d x^{3} \right)}}\, dx"," ",0,"Integral(1/(a + b*sin(c + d*x**3)), x)","F",0
88,0,0,0,0.000000," ","integrate(1/x**3/(a+b*sin(d*x**3+c)),x)","\int \frac{1}{x^{3} \left(a + b \sin{\left(c + d x^{3} \right)}\right)}\, dx"," ",0,"Integral(1/(x**3*(a + b*sin(c + d*x**3))), x)","F",0
89,0,0,0,0.000000," ","integrate(x**5/(a+b*sin(d*x**3+c))**2,x)","\int \frac{x^{5}}{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**5/(a + b*sin(c + d*x**3))**2, x)","F",0
90,-1,0,0,0.000000," ","integrate(x**2/(a+b*sin(d*x**3+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x**3+c))**2,x)","\int \frac{1}{x \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*sin(c + d*x**3))**2), x)","F",0
92,0,0,0,0.000000," ","integrate(1/x**4/(a+b*sin(d*x**3+c))**2,x)","\int \frac{1}{x^{4} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**4*(a + b*sin(c + d*x**3))**2), x)","F",0
93,0,0,0,0.000000," ","integrate(x/(a+b*sin(d*x**3+c))**2,x)","\int \frac{x}{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(a + b*sin(c + d*x**3))**2, x)","F",0
94,0,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(d*x**3+c))**2,x)","\int \frac{1}{x^{2} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*sin(c + d*x**3))**2), x)","F",0
95,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x**3+c))**2,x)","\int \frac{1}{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*x**3))**(-2), x)","F",0
96,0,0,0,0.000000," ","integrate(1/x**3/(a+b*sin(d*x**3+c))**2,x)","\int \frac{1}{x^{3} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**3*(a + b*sin(c + d*x**3))**2), x)","F",0
97,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**3+c))**p,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{p}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**3))**p, x)","F",0
98,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**3+c))**3,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{3}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**3))**3, x)","F",0
99,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**3+c))**2,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**3))**2, x)","F",0
100,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(d*x**3+c)),x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{3} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**3)), x)","F",0
101,0,0,0,0.000000," ","integrate((e*x)**m/(a+b*sin(d*x**3+c)),x)","\int \frac{\left(e x\right)^{m}}{a + b \sin{\left(c + d x^{3} \right)}}\, dx"," ",0,"Integral((e*x)**m/(a + b*sin(c + d*x**3)), x)","F",0
102,0,0,0,0.000000," ","integrate((e*x)**m/(a+b*sin(d*x**3+c))**2,x)","\int \frac{\left(e x\right)^{m}}{\left(a + b \sin{\left(c + d x^{3} \right)}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m/(a + b*sin(c + d*x**3))**2, x)","F",0
103,0,0,0,0.000000," ","integrate(x**2*sin(a+b/x),x)","\int x^{2} \sin{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(x**2*sin(a + b/x), x)","F",0
104,0,0,0,0.000000," ","integrate(x*sin(a+b/x),x)","\int x \sin{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(x*sin(a + b/x), x)","F",0
105,0,0,0,0.000000," ","integrate(sin(a+b/x),x)","\int \sin{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(sin(a + b/x), x)","F",0
106,1,17,0,1.148185," ","integrate(sin(a+b/x)/x,x)","- \sin{\left(a \right)} \operatorname{Ci}{\left(\frac{b}{x} \right)} - \cos{\left(a \right)} \operatorname{Si}{\left(\frac{b}{x} \right)}"," ",0,"-sin(a)*Ci(b/x) - cos(a)*Si(b/x)","A",0
107,1,14,0,1.211792," ","integrate(sin(a+b/x)/x**2,x)","\begin{cases} \frac{\cos{\left(a + \frac{b}{x} \right)}}{b} & \text{for}\: b \neq 0 \\- \frac{\sin{\left(a \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cos(a + b/x)/b, Ne(b, 0)), (-sin(a)/x, True))","A",0
108,1,29,0,2.270782," ","integrate(sin(a+b/x)/x**3,x)","\begin{cases} \frac{\cos{\left(a + \frac{b}{x} \right)}}{b x} - \frac{\sin{\left(a + \frac{b}{x} \right)}}{b^{2}} & \text{for}\: b \neq 0 \\- \frac{\sin{\left(a \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cos(a + b/x)/(b*x) - sin(a + b/x)/b**2, Ne(b, 0)), (-sin(a)/(2*x**2), True))","A",0
109,1,46,0,3.863495," ","integrate(sin(a+b/x)/x**4,x)","\begin{cases} \frac{\cos{\left(a + \frac{b}{x} \right)}}{b x^{2}} - \frac{2 \sin{\left(a + \frac{b}{x} \right)}}{b^{2} x} - \frac{2 \cos{\left(a + \frac{b}{x} \right)}}{b^{3}} & \text{for}\: b \neq 0 \\- \frac{\sin{\left(a \right)}}{3 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cos(a + b/x)/(b*x**2) - 2*sin(a + b/x)/(b**2*x) - 2*cos(a + b/x)/b**3, Ne(b, 0)), (-sin(a)/(3*x**3), True))","A",0
110,1,61,0,6.415758," ","integrate(sin(a+b/x)/x**5,x)","\begin{cases} \frac{\cos{\left(a + \frac{b}{x} \right)}}{b x^{3}} - \frac{3 \sin{\left(a + \frac{b}{x} \right)}}{b^{2} x^{2}} - \frac{6 \cos{\left(a + \frac{b}{x} \right)}}{b^{3} x} + \frac{6 \sin{\left(a + \frac{b}{x} \right)}}{b^{4}} & \text{for}\: b \neq 0 \\- \frac{\sin{\left(a \right)}}{4 x^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cos(a + b/x)/(b*x**3) - 3*sin(a + b/x)/(b**2*x**2) - 6*cos(a + b/x)/(b**3*x) + 6*sin(a + b/x)/b**4, Ne(b, 0)), (-sin(a)/(4*x**4), True))","A",0
111,0,0,0,0.000000," ","integrate(x**2*sin(a+b/x)**2,x)","\int x^{2} \sin^{2}{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(x**2*sin(a + b/x)**2, x)","F",0
112,0,0,0,0.000000," ","integrate(x*sin(a+b/x)**2,x)","\int x \sin^{2}{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(x*sin(a + b/x)**2, x)","F",0
113,0,0,0,0.000000," ","integrate(sin(a+b/x)**2,x)","\int \sin^{2}{\left(a + \frac{b}{x} \right)}\, dx"," ",0,"Integral(sin(a + b/x)**2, x)","F",0
114,1,31,0,2.663527," ","integrate(sin(a+b/x)**2/x,x)","\frac{\log{\left(x \right)}}{2} - \frac{\sin{\left(2 a \right)} \operatorname{Si}{\left(\frac{2 b}{x} \right)}}{2} + \frac{\cos{\left(2 a \right)} \operatorname{Ci}{\left(\frac{2 b}{x} \right)}}{2}"," ",0,"log(x)/2 - sin(2*a)*Si(2*b/x)/2 + cos(2*a)*Ci(2*b/x)/2","A",0
115,1,262,0,3.163679," ","integrate(sin(a+b/x)**2/x**2,x)","\begin{cases} - \frac{b \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{2 b x \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b x \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 2 b x} - \frac{2 b \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{2 b x \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b x \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 2 b x} - \frac{b}{2 b x \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b x \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 2 b x} - \frac{2 x \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{2 b x \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b x \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 2 b x} + \frac{2 x \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{2 b x \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b x \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 2 b x} & \text{for}\: b \neq 0 \\- \frac{\sin^{2}{\left(a \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*tan(a/2 + b/(2*x))**4/(2*b*x*tan(a/2 + b/(2*x))**4 + 4*b*x*tan(a/2 + b/(2*x))**2 + 2*b*x) - 2*b*tan(a/2 + b/(2*x))**2/(2*b*x*tan(a/2 + b/(2*x))**4 + 4*b*x*tan(a/2 + b/(2*x))**2 + 2*b*x) - b/(2*b*x*tan(a/2 + b/(2*x))**4 + 4*b*x*tan(a/2 + b/(2*x))**2 + 2*b*x) - 2*x*tan(a/2 + b/(2*x))**3/(2*b*x*tan(a/2 + b/(2*x))**4 + 4*b*x*tan(a/2 + b/(2*x))**2 + 2*b*x) + 2*x*tan(a/2 + b/(2*x))/(2*b*x*tan(a/2 + b/(2*x))**4 + 4*b*x*tan(a/2 + b/(2*x))**2 + 2*b*x), Ne(b, 0)), (-sin(a)**2/x, True))","A",0
116,1,391,0,4.210351," ","integrate(sin(a+b/x)**2/x**3,x)","\begin{cases} - \frac{b^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} - \frac{2 b^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} - \frac{b^{2}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} - \frac{4 b x \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} + \frac{4 b x \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} - \frac{4 x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{4 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 4 b^{2} x^{2}} & \text{for}\: b \neq 0 \\- \frac{\sin^{2}{\left(a \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**2*tan(a/2 + b/(2*x))**4/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2) - 2*b**2*tan(a/2 + b/(2*x))**2/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2) - b**2/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2) - 4*b*x*tan(a/2 + b/(2*x))**3/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2) + 4*b*x*tan(a/2 + b/(2*x))/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2) - 4*x**2*tan(a/2 + b/(2*x))**2/(4*b**2*x**2*tan(a/2 + b/(2*x))**4 + 8*b**2*x**2*tan(a/2 + b/(2*x))**2 + 4*b**2*x**2), Ne(b, 0)), (-sin(a)**2/(2*x**2), True))","A",0
117,1,654,0,5.967337," ","integrate(sin(a+b/x)**2/x**4,x)","\begin{cases} - \frac{2 b^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} - \frac{4 b^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} - \frac{2 b^{3}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} - \frac{12 b^{2} x \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} + \frac{12 b^{2} x \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} + \frac{3 b x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} - \frac{18 b x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} + \frac{3 b x^{2}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} + \frac{6 x^{3} \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} - \frac{6 x^{3} \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{12 b^{3} x^{3} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 24 b^{3} x^{3} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 12 b^{3} x^{3}} & \text{for}\: b \neq 0 \\- \frac{\sin^{2}{\left(a \right)}}{3 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*b**3*tan(a/2 + b/(2*x))**4/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) - 4*b**3*tan(a/2 + b/(2*x))**2/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) - 2*b**3/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) - 12*b**2*x*tan(a/2 + b/(2*x))**3/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) + 12*b**2*x*tan(a/2 + b/(2*x))/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) + 3*b*x**2*tan(a/2 + b/(2*x))**4/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) - 18*b*x**2*tan(a/2 + b/(2*x))**2/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) + 3*b*x**2/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) + 6*x**3*tan(a/2 + b/(2*x))**3/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3) - 6*x**3*tan(a/2 + b/(2*x))/(12*b**3*x**3*tan(a/2 + b/(2*x))**4 + 24*b**3*x**3*tan(a/2 + b/(2*x))**2 + 12*b**3*x**3), Ne(b, 0)), (-sin(a)**2/(3*x**3), True))","A",0
118,1,726,0,8.206211," ","integrate(sin(a+b/x)**2/x**5,x)","\begin{cases} - \frac{b^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} - \frac{2 b^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} - \frac{b^{4}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} - \frac{8 b^{3} x \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} + \frac{8 b^{3} x \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} + \frac{3 b^{2} x^{2} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} - \frac{18 b^{2} x^{2} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} + \frac{3 b^{2} x^{2}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} + \frac{12 b x^{3} \tan^{3}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} - \frac{12 b x^{3} \tan{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} + \frac{12 x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)}}{8 b^{4} x^{4} \tan^{4}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 16 b^{4} x^{4} \tan^{2}{\left(\frac{a}{2} + \frac{b}{2 x} \right)} + 8 b^{4} x^{4}} & \text{for}\: b \neq 0 \\- \frac{\sin^{2}{\left(a \right)}}{4 x^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**4*tan(a/2 + b/(2*x))**4/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) - 2*b**4*tan(a/2 + b/(2*x))**2/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) - b**4/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) - 8*b**3*x*tan(a/2 + b/(2*x))**3/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) + 8*b**3*x*tan(a/2 + b/(2*x))/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) + 3*b**2*x**2*tan(a/2 + b/(2*x))**4/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) - 18*b**2*x**2*tan(a/2 + b/(2*x))**2/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) + 3*b**2*x**2/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) + 12*b*x**3*tan(a/2 + b/(2*x))**3/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) - 12*b*x**3*tan(a/2 + b/(2*x))/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4) + 12*x**4*tan(a/2 + b/(2*x))**2/(8*b**4*x**4*tan(a/2 + b/(2*x))**4 + 16*b**4*x**4*tan(a/2 + b/(2*x))**2 + 8*b**4*x**4), Ne(b, 0)), (-sin(a)**2/(4*x**4), True))","A",0
119,0,0,0,0.000000," ","integrate(sin(a+b/x**2),x)","\int \sin{\left(a + \frac{b}{x^{2}} \right)}\, dx"," ",0,"Integral(sin(a + b/x**2), x)","F",0
120,0,0,0,0.000000," ","integrate(sin(a+b/x**2)/x,x)","\int \frac{\sin{\left(a + \frac{b}{x^{2}} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b/x**2)/x, x)","F",0
121,0,0,0,0.000000," ","integrate(sin(a+b/x**2)/x**2,x)","\int \frac{\sin{\left(a + \frac{b}{x^{2}} \right)}}{x^{2}}\, dx"," ",0,"Integral(sin(a + b/x**2)/x**2, x)","F",0
122,1,20,0,3.532888," ","integrate(sin(a+b/x**2)/x**3,x)","\begin{cases} \frac{\cos{\left(a + \frac{b}{x^{2}} \right)}}{2 b} & \text{for}\: b \neq 0 \\- \frac{\sin{\left(a \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cos(a + b/x**2)/(2*b), Ne(b, 0)), (-sin(a)/(2*x**2), True))","A",0
123,0,0,0,0.000000," ","integrate(sin(a+b/x**2)/x**4,x)","\int \frac{\sin{\left(a + \frac{b}{x^{2}} \right)}}{x^{4}}\, dx"," ",0,"Integral(sin(a + b/x**2)/x**4, x)","F",0
124,1,8,0,0.317682," ","integrate(sin(x**(1/2))/x**(1/2),x)","- 2 \cos{\left(\sqrt{x} \right)}"," ",0,"-2*cos(sqrt(x))","A",0
125,1,29,0,0.923774," ","integrate(sin(x**(1/2))**3/x**(1/2),x)","- 2 \sin^{2}{\left(\sqrt{x} \right)} \cos{\left(\sqrt{x} \right)} - \frac{4 \cos^{3}{\left(\sqrt{x} \right)}}{3}"," ",0,"-2*sin(sqrt(x))**2*cos(sqrt(x)) - 4*cos(sqrt(x))**3/3","A",0
126,1,20,0,0.304327," ","integrate(sin(x**(1/2)),x)","- 2 \sqrt{x} \cos{\left(\sqrt{x} \right)} + 2 \sin{\left(\sqrt{x} \right)}"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
127,1,379,0,1.324492," ","integrate(sin(x**(1/3))**2,x)","\frac{12 x^{\frac{2}{3}} \tan^{3}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} - \frac{12 x^{\frac{2}{3}} \tan{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} - \frac{3 \sqrt[3]{x} \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} + \frac{18 \sqrt[3]{x} \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} - \frac{3 \sqrt[3]{x}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} + \frac{2 x \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} + \frac{4 x \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} + \frac{2 x}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} - \frac{6 \tan^{3}{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4} + \frac{6 \tan{\left(\frac{\sqrt[3]{x}}{2} \right)}}{4 \tan^{4}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 8 \tan^{2}{\left(\frac{\sqrt[3]{x}}{2} \right)} + 4}"," ",0,"12*x**(2/3)*tan(x**(1/3)/2)**3/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) - 12*x**(2/3)*tan(x**(1/3)/2)/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) - 3*x**(1/3)*tan(x**(1/3)/2)**4/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) + 18*x**(1/3)*tan(x**(1/3)/2)**2/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) - 3*x**(1/3)/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) + 2*x*tan(x**(1/3)/2)**4/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) + 4*x*tan(x**(1/3)/2)**2/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) + 2*x/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) - 6*tan(x**(1/3)/2)**3/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4) + 6*tan(x**(1/3)/2)/(4*tan(x**(1/3)/2)**4 + 8*tan(x**(1/3)/2)**2 + 4)","B",0
128,1,80,0,6.106672," ","integrate(sin(x**(1/3))**3,x)","- \frac{9 x^{\frac{2}{3}} \cos{\left(\sqrt[3]{x} \right)}}{4} + \frac{x^{\frac{2}{3}} \cos{\left(3 \sqrt[3]{x} \right)}}{4} + \frac{9 \sqrt[3]{x} \sin{\left(\sqrt[3]{x} \right)}}{2} - \frac{\sqrt[3]{x} \sin{\left(3 \sqrt[3]{x} \right)}}{6} + \frac{9 \cos{\left(\sqrt[3]{x} \right)}}{2} - \frac{\cos{\left(3 \sqrt[3]{x} \right)}}{18}"," ",0,"-9*x**(2/3)*cos(x**(1/3))/4 + x**(2/3)*cos(3*x**(1/3))/4 + 9*x**(1/3)*sin(x**(1/3))/2 - x**(1/3)*sin(3*x**(1/3))/6 + 9*cos(x**(1/3))/2 - cos(3*x**(1/3))/18","A",0
129,0,0,0,0.000000," ","integrate((e*x)**m*(b*sin(c+d*x**n))**p,x)","\int \left(b \sin{\left(c + d x^{n} \right)}\right)^{p} \left(e x\right)^{m}\, dx"," ",0,"Integral((b*sin(c + d*x**n))**p*(e*x)**m, x)","F",0
130,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(c+d*x**n))**p,x)","\int \left(e x\right)^{m} \left(a + b \sin{\left(c + d x^{n} \right)}\right)^{p}\, dx"," ",0,"Integral((e*x)**m*(a + b*sin(c + d*x**n))**p, x)","F",0
131,-1,0,0,0.000000," ","integrate((e*x)**(-1+n)*(b*sin(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((e*x)**(-1+2*n)*(b*sin(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate((e*x)**(-1+n)*(a+b*sin(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((e*x)**(-1+2*n)*(a+b*sin(c+d*x**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,0,0,0,0.000000," ","integrate(sin(a+b*x**n)/x,x)","\int \frac{\sin{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*x**n)/x, x)","F",0
136,0,0,0,0.000000," ","integrate(sin(a+b*x**n)**2/x,x)","\int \frac{\sin^{2}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*x**n)**2/x, x)","F",0
137,0,0,0,0.000000," ","integrate(sin(a+b*x**n)**3/x,x)","\int \frac{\sin^{3}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*x**n)**3/x, x)","F",0
138,0,0,0,0.000000," ","integrate(sin(a+b*x**n)**4/x,x)","\int \frac{\sin^{4}{\left(a + b x^{n} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*x**n)**4/x, x)","F",0
139,0,0,0,0.000000," ","integrate(sin(a+b*x**n),x)","\int \sin{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(sin(a + b*x**n), x)","F",0
140,0,0,0,0.000000," ","integrate(sin(a+b*x**n)**2,x)","\int \sin^{2}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(sin(a + b*x**n)**2, x)","F",0
141,0,0,0,0.000000," ","integrate(sin(a+b*x**n)**3,x)","\int \sin^{3}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(sin(a + b*x**n)**3, x)","F",0
142,0,0,0,0.000000," ","integrate(x**m*sin(a+b*x**n),x)","\int x^{m} \sin{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*sin(a + b*x**n), x)","F",0
143,0,0,0,0.000000," ","integrate(x**m*sin(a+b*x**n)**2,x)","\int x^{m} \sin^{2}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*sin(a + b*x**n)**2, x)","F",0
144,0,0,0,0.000000," ","integrate(x**m*sin(a+b*x**n)**3,x)","\int x^{m} \sin^{3}{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**m*sin(a + b*x**n)**3, x)","F",0
145,-1,0,0,0.000000," ","integrate(x**(-1+2*n)*sin(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,-1,0,0,0.000000," ","integrate(x**(-1+2*n)*cos(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,0,0,0,0.000000," ","integrate(x**(-1-n)*sin(a+b*x**n),x)","\int x^{- n - 1} \sin{\left(a + b x^{n} \right)}\, dx"," ",0,"Integral(x**(-n - 1)*sin(a + b*x**n), x)","F",0
148,-1,0,0,0.000000," ","integrate(x**(-1-n)*sin(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate(x**(-1-n)*sin(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate(x**(-1-2*n)*sin(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate(x**(-1-2*n)*sin(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate(x**(-1-2*n)*sin(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,0,0,0,0.000000," ","integrate((f*x+e)**3*sin(b*(d*x+c)**2),x)","\int \left(e + f x\right)^{3} \sin{\left(b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)**3*sin(b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
154,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(b*(d*x+c)**2),x)","\int \left(e + f x\right)^{2} \sin{\left(b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
155,0,0,0,0.000000," ","integrate((f*x+e)*sin(b*(d*x+c)**2),x)","\int \left(e + f x\right) \sin{\left(b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
156,0,0,0,0.000000," ","integrate(sin(b*(d*x+c)**2),x)","\int \sin{\left(b \left(c + d x\right)^{2} \right)}\, dx"," ",0,"Integral(sin(b*(c + d*x)**2), x)","F",0
157,0,0,0,0.000000," ","integrate(sin(b*(d*x+c)**2)/(f*x+e),x)","\int \frac{\sin{\left(b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(b*c**2 + 2*b*c*d*x + b*d**2*x**2)/(e + f*x), x)","F",0
158,0,0,0,0.000000," ","integrate(sin(b*(d*x+c)**2)/(f*x+e)**2,x)","\int \frac{\sin{\left(b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(b*c**2 + 2*b*c*d*x + b*d**2*x**2)/(e + f*x)**2, x)","F",0
159,-1,0,0,0.000000," ","integrate((f*x+e)**3*sin(b/(d*x+c)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(b/(d*x+c)**2),x)","\int \left(e + f x\right)^{2} \sin{\left(\frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(b/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
161,0,0,0,0.000000," ","integrate((f*x+e)*sin(b/(d*x+c)**2),x)","\int \left(e + f x\right) \sin{\left(\frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(b/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
162,0,0,0,0.000000," ","integrate(sin(b/(d*x+c)**2),x)","\int \sin{\left(\frac{b}{\left(c + d x\right)^{2}} \right)}\, dx"," ",0,"Integral(sin(b/(c + d*x)**2), x)","F",0
163,0,0,0,0.000000," ","integrate(sin(b/(d*x+c)**2)/(f*x+e),x)","\int \frac{\sin{\left(\frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(b/(c**2 + 2*c*d*x + d**2*x**2))/(e + f*x), x)","F",0
164,-1,0,0,0.000000," ","integrate(sin(b/(d*x+c)**2)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,0,0,0,0.000000," ","integrate((f*x+e)**3*sin(a+b*(d*x+c)**2),x)","\int \left(e + f x\right)^{3} \sin{\left(a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)**3*sin(a + b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
166,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**2),x)","\int \left(e + f x\right)^{2} \sin{\left(a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)**2),x)","\int \left(e + f x\right) \sin{\left(a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b*c**2 + 2*b*c*d*x + b*d**2*x**2), x)","F",0
168,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**2),x)","\int \sin{\left(a + b \left(c + d x\right)^{2} \right)}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**2), x)","F",0
169,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**2)/(f*x+e),x)","\int \frac{\sin{\left(a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*c**2 + 2*b*c*d*x + b*d**2*x**2)/(e + f*x), x)","F",0
170,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**2)/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*c**2 + 2*b*c*d*x + b*d**2*x**2)/(e + f*x)**2, x)","F",0
171,0,0,0,0.000000," ","integrate((f*x+e)**3*sin(a+b*(d*x+c)**3),x)","\int \left(e + f x\right)^{3} \sin{\left(a + b c^{3} + 3 b c^{2} d x + 3 b c d^{2} x^{2} + b d^{3} x^{3} \right)}\, dx"," ",0,"Integral((e + f*x)**3*sin(a + b*c**3 + 3*b*c**2*d*x + 3*b*c*d**2*x**2 + b*d**3*x**3), x)","F",0
172,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**3),x)","\int \left(e + f x\right)^{2} \sin{\left(a + b c^{3} + 3 b c^{2} d x + 3 b c d^{2} x^{2} + b d^{3} x^{3} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b*c**3 + 3*b*c**2*d*x + 3*b*c*d**2*x**2 + b*d**3*x**3), x)","F",0
173,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)**3),x)","\int \left(e + f x\right) \sin{\left(a + b c^{3} + 3 b c^{2} d x + 3 b c d^{2} x^{2} + b d^{3} x^{3} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b*c**3 + 3*b*c**2*d*x + 3*b*c*d**2*x**2 + b*d**3*x**3), x)","F",0
174,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**3),x)","\int \sin{\left(a + b \left(c + d x\right)^{3} \right)}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**3), x)","F",0
175,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**3)/(f*x+e),x)","\int \frac{\sin{\left(a + b c^{3} + 3 b c^{2} d x + 3 b c d^{2} x^{2} + b d^{3} x^{3} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*c**3 + 3*b*c**2*d*x + 3*b*c*d**2*x**2 + b*d**3*x**3)/(e + f*x), x)","F",0
176,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**3)/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b c^{3} + 3 b c^{2} d x + 3 b c d^{2} x^{2} + b d^{3} x^{3} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*c**3 + 3*b*c**2*d*x + 3*b*c*d**2*x**2 + b*d**3*x**3)/(e + f*x)**2, x)","F",0
177,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**2),x)","\int \left(e + f x\right)^{2} \sin{\left(a + \frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
178,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**2),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
179,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**2),x)","\int \sin{\left(a + \frac{b}{\left(c + d x\right)^{2}} \right)}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**2), x)","F",0
180,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**2)/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/(c**2 + 2*c*d*x + d**2*x**2))/(e + f*x), x)","F",0
181,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**2)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**3),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3)), x)","F",0
184,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**3),x)","\int \sin{\left(a + \frac{b}{\left(c + d x\right)^{3}} \right)}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**3), x)","F",0
185,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**3)/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3))/(e + f*x), x)","F",0
186,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**3)/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,1,529,0,2.678104," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**(1/2)),x)","\begin{cases} \left(e^{2} x + e f x^{2} + \frac{f^{2} x^{3}}{3}\right) \sin{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\\left(e^{2} x + e f x^{2} + \frac{f^{2} x^{3}}{3}\right) \sin{\left(a + b \sqrt{c} \right)} & \text{for}\: d = 0 \\- \frac{2 e^{2} \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} - \frac{4 e f x \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} - \frac{2 f^{2} x^{2} \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{8 c e f \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d^{2}} + \frac{8 c f^{2} x \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d^{2}} + \frac{2 e^{2} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} + \frac{12 e f x \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} + \frac{10 f^{2} x^{2} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} + \frac{16 c f^{2} \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{3}} + \frac{24 e f \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{2}} + \frac{40 f^{2} x \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{2}} - \frac{96 c f^{2} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{3}} - \frac{24 e f \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{2}} - \frac{120 f^{2} x \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{2}} - \frac{240 f^{2} \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{5} d^{3}} + \frac{240 f^{2} \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{6} d^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((e**2*x + e*f*x**2 + f**2*x**3/3)*sin(a), Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), ((e**2*x + e*f*x**2 + f**2*x**3/3)*sin(a + b*sqrt(c)), Eq(d, 0)), (-2*e**2*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) - 4*e*f*x*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) - 2*f**2*x**2*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) + 8*c*e*f*sin(a + b*sqrt(c + d*x))/(b**2*d**2) + 8*c*f**2*x*sin(a + b*sqrt(c + d*x))/(b**2*d**2) + 2*e**2*sin(a + b*sqrt(c + d*x))/(b**2*d) + 12*e*f*x*sin(a + b*sqrt(c + d*x))/(b**2*d) + 10*f**2*x**2*sin(a + b*sqrt(c + d*x))/(b**2*d) + 16*c*f**2*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b**3*d**3) + 24*e*f*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b**3*d**2) + 40*f**2*x*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b**3*d**2) - 96*c*f**2*sin(a + b*sqrt(c + d*x))/(b**4*d**3) - 24*e*f*sin(a + b*sqrt(c + d*x))/(b**4*d**2) - 120*f**2*x*sin(a + b*sqrt(c + d*x))/(b**4*d**2) - 240*f**2*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b**5*d**3) + 240*f**2*sin(a + b*sqrt(c + d*x))/(b**6*d**3), True))","A",0
188,1,221,0,0.764825," ","integrate((f*x+e)*sin(a+b*(d*x+c)**(1/2)),x)","\begin{cases} \left(e x + \frac{f x^{2}}{2}\right) \sin{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\\left(e x + \frac{f x^{2}}{2}\right) \sin{\left(a + b \sqrt{c} \right)} & \text{for}\: d = 0 \\- \frac{2 e \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} - \frac{2 f x \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{4 c f \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d^{2}} + \frac{2 e \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} + \frac{6 f x \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} + \frac{12 f \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b^{3} d^{2}} - \frac{12 f \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{4} d^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((e*x + f*x**2/2)*sin(a), Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), ((e*x + f*x**2/2)*sin(a + b*sqrt(c)), Eq(d, 0)), (-2*e*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) - 2*f*x*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) + 4*c*f*sin(a + b*sqrt(c + d*x))/(b**2*d**2) + 2*e*sin(a + b*sqrt(c + d*x))/(b**2*d) + 6*f*x*sin(a + b*sqrt(c + d*x))/(b**2*d) + 12*f*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b**3*d**2) - 12*f*sin(a + b*sqrt(c + d*x))/(b**4*d**2), True))","A",0
189,1,66,0,0.499095," ","integrate(sin(a+b*(d*x+c)**(1/2)),x)","\begin{cases} x \sin{\left(a \right)} & \text{for}\: b = 0 \wedge d = 0 \\x \sin{\left(a + b \sqrt{c} \right)} & \text{for}\: d = 0 \\x \sin{\left(a \right)} & \text{for}\: b = 0 \\- \frac{2 \sqrt{c + d x} \cos{\left(a + b \sqrt{c + d x} \right)}}{b d} + \frac{2 \sin{\left(a + b \sqrt{c + d x} \right)}}{b^{2} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sin(a), Eq(b, 0) & Eq(d, 0)), (x*sin(a + b*sqrt(c)), Eq(d, 0)), (x*sin(a), Eq(b, 0)), (-2*sqrt(c + d*x)*cos(a + b*sqrt(c + d*x))/(b*d) + 2*sin(a + b*sqrt(c + d*x))/(b**2*d), True))","A",0
190,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/2))/(f*x+e),x)","\int \frac{\sin{\left(a + b \sqrt{c + d x} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*sqrt(c + d*x))/(e + f*x), x)","F",0
191,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/2))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b \sqrt{c + d x} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*sqrt(c + d*x))/(e + f*x)**2, x)","F",0
192,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**(3/2)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + b c \sqrt{c + d x} + b d x \sqrt{c + d x} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b*c*sqrt(c + d*x) + b*d*x*sqrt(c + d*x)), x)","F",0
193,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)**(3/2)),x)","\int \left(e + f x\right) \sin{\left(a + b c \sqrt{c + d x} + b d x \sqrt{c + d x} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b*c*sqrt(c + d*x) + b*d*x*sqrt(c + d*x)), x)","F",0
194,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(3/2)),x)","\int \sin{\left(a + b \left(c + d x\right)^{\frac{3}{2}} \right)}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(3/2)), x)","F",0
195,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(3/2))/(f*x+e),x)","\int \frac{\sin{\left(a + b c \sqrt{c + d x} + b d x \sqrt{c + d x} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*c*sqrt(c + d*x) + b*d*x*sqrt(c + d*x))/(e + f*x), x)","F",0
196,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(3/2))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b c \sqrt{c + d x} + b d x \sqrt{c + d x} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*c*sqrt(c + d*x) + b*d*x*sqrt(c + d*x))/(e + f*x)**2, x)","F",0
197,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**(1/2)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + \frac{b}{\sqrt{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b/sqrt(c + d*x)), x)","F",0
198,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**(1/2)),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{\sqrt{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/sqrt(c + d*x)), x)","F",0
199,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/2)),x)","\int \sin{\left(a + \frac{b}{\sqrt{c + d x}} \right)}\, dx"," ",0,"Integral(sin(a + b/sqrt(c + d*x)), x)","F",0
200,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/2))/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt{c + d x}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/sqrt(c + d*x))/(e + f*x), x)","F",0
201,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/2))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt{c + d x}} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b/sqrt(c + d*x))/(e + f*x)**2, x)","F",0
202,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**(3/2)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + \frac{b}{c \sqrt{c + d x} + d x \sqrt{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b/(c*sqrt(c + d*x) + d*x*sqrt(c + d*x))), x)","F",0
203,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**(3/2)),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{c \sqrt{c + d x} + d x \sqrt{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/(c*sqrt(c + d*x) + d*x*sqrt(c + d*x))), x)","F",0
204,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(3/2)),x)","\int \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{3}{2}}} \right)}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(3/2)), x)","F",0
205,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(3/2))/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{c \sqrt{c + d x} + d x \sqrt{c + d x}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/(c*sqrt(c + d*x) + d*x*sqrt(c + d*x)))/(e + f*x), x)","F",0
206,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(3/2))/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
207,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**(1/3)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b*(c + d*x)**(1/3)), x)","F",0
208,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)**(1/3)),x)","\int \left(e + f x\right) \sin{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b*(c + d*x)**(1/3)), x)","F",0
209,1,94,0,1.418772," ","integrate(sin(a+b*(d*x+c)**(1/3)),x)","\begin{cases} x \sin{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee d = 0\right) \\x \sin{\left(a + b \sqrt[3]{c} \right)} & \text{for}\: d = 0 \\- \frac{3 \left(c + d x\right)^{\frac{2}{3}} \cos{\left(a + b \sqrt[3]{c + d x} \right)}}{b d} + \frac{6 \sqrt[3]{c + d x} \sin{\left(a + b \sqrt[3]{c + d x} \right)}}{b^{2} d} + \frac{6 \cos{\left(a + b \sqrt[3]{c + d x} \right)}}{b^{3} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sin(a), Eq(b, 0) & (Eq(b, 0) | Eq(d, 0))), (x*sin(a + b*c**(1/3)), Eq(d, 0)), (-3*(c + d*x)**(2/3)*cos(a + b*(c + d*x)**(1/3))/(b*d) + 6*(c + d*x)**(1/3)*sin(a + b*(c + d*x)**(1/3))/(b**2*d) + 6*cos(a + b*(c + d*x)**(1/3))/(b**3*d), True))","A",0
210,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(f*x+e),x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e + f*x), x)","F",0
211,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e + f*x)**2, x)","F",0
212,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b*(d*x+c)**(2/3)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b*(c + d*x)**(2/3)), x)","F",0
213,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)**(2/3)),x)","\int \left(e + f x\right) \sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b*(c + d*x)**(2/3)), x)","F",0
214,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3)),x)","\int \sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3)), x)","F",0
215,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(f*x+e),x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e + f*x), x)","F",0
216,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e + f*x)**2, x)","F",0
217,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**(1/3)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b/(c + d*x)**(1/3)), x)","F",0
218,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**(1/3)),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/(c + d*x)**(1/3)), x)","F",0
219,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3)),x)","\int \sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3)), x)","F",0
220,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3))/(e + f*x), x)","F",0
221,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3))/(e + f*x)**2, x)","F",0
222,0,0,0,0.000000," ","integrate((f*x+e)**2*sin(a+b/(d*x+c)**(2/3)),x)","\int \left(e + f x\right)^{2} \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}\, dx"," ",0,"Integral((e + f*x)**2*sin(a + b/(c + d*x)**(2/3)), x)","F",0
223,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)**(2/3)),x)","\int \left(e + f x\right) \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}\, dx"," ",0,"Integral((e + f*x)*sin(a + b/(c + d*x)**(2/3)), x)","F",0
224,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3)),x)","\int \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3)), x)","F",0
225,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(f*x+e),x)","\int \frac{\sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}}{e + f x}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3))/(e + f*x), x)","F",0
226,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(f*x+e)**2,x)","\int \frac{\sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3))/(e + f*x)**2, x)","F",0
227,-1,0,0,0.000000," ","integrate((d*e*x+c*e)**(4/3)*sin(a+b*(d*x+c)**(1/3)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(2/3)*sin(a+b*(d*x+c)**(1/3)),x)","\int \left(e \left(c + d x\right)\right)^{\frac{2}{3}} \sin{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(2/3)*sin(a + b*(c + d*x)**(1/3)), x)","F",0
229,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(1/3)*sin(a+b*(d*x+c)**(1/3)),x)","\int \sqrt[3]{e \left(c + d x\right)} \sin{\left(a + b \sqrt[3]{c + d x} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(1/3)*sin(a + b*(c + d*x)**(1/3)), x)","F",0
230,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(d*e*x+c*e)**(1/3),x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{\sqrt[3]{e \left(c + d x\right)}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e*(c + d*x))**(1/3), x)","F",0
231,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(d*e*x+c*e)**(2/3),x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e*(c + d*x))**(2/3), x)","F",0
232,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(d*e*x+c*e)**(4/3),x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e*(c + d*x))**(4/3), x)","F",0
233,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(d*e*x+c*e)**(5/3),x)","\int \frac{\sin{\left(a + b \sqrt[3]{c + d x} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(1/3))/(e*(c + d*x))**(5/3), x)","F",0
234,-1,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(1/3))/(d*e*x+c*e)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate((d*e*x+c*e)**(4/3)*sin(a+b*(d*x+c)**(2/3)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(2/3)*sin(a+b*(d*x+c)**(2/3)),x)","\int \left(e \left(c + d x\right)\right)^{\frac{2}{3}} \sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(2/3)*sin(a + b*(c + d*x)**(2/3)), x)","F",0
237,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(1/3)*sin(a+b*(d*x+c)**(2/3)),x)","\int \sqrt[3]{e \left(c + d x\right)} \sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(1/3)*sin(a + b*(c + d*x)**(2/3)), x)","F",0
238,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(d*e*x+c*e)**(1/3),x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{\sqrt[3]{e \left(c + d x\right)}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e*(c + d*x))**(1/3), x)","F",0
239,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(d*e*x+c*e)**(2/3),x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e*(c + d*x))**(2/3), x)","F",0
240,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(d*e*x+c*e)**(4/3),x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e*(c + d*x))**(4/3), x)","F",0
241,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**(2/3))/(d*e*x+c*e)**(5/3),x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{\frac{2}{3}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**(2/3))/(e*(c + d*x))**(5/3), x)","F",0
242,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(1/3)*sin(a+b/(d*x+c)**(1/3)),x)","\int \sqrt[3]{e \left(c + d x\right)} \sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(1/3)*sin(a + b/(c + d*x)**(1/3)), x)","F",0
243,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(1/3),x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}}{\sqrt[3]{e \left(c + d x\right)}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3))/(e*(c + d*x))**(1/3), x)","F",0
244,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(2/3),x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3))/(e*(c + d*x))**(2/3), x)","F",0
245,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(4/3),x)","\int \frac{\sin{\left(a + \frac{b}{\sqrt[3]{c + d x}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(1/3))/(e*(c + d*x))**(4/3), x)","F",0
246,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(1/3))/(d*e*x+c*e)**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate((d*e*x+c*e)**(4/3)*sin(a+b/(d*x+c)**(2/3)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(2/3)*sin(a+b/(d*x+c)**(2/3)),x)","\int \left(e \left(c + d x\right)\right)^{\frac{2}{3}} \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(2/3)*sin(a + b/(c + d*x)**(2/3)), x)","F",0
251,0,0,0,0.000000," ","integrate((d*e*x+c*e)**(1/3)*sin(a+b/(d*x+c)**(2/3)),x)","\int \sqrt[3]{e \left(c + d x\right)} \sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}\, dx"," ",0,"Integral((e*(c + d*x))**(1/3)*sin(a + b/(c + d*x)**(2/3)), x)","F",0
252,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(1/3),x)","\int \frac{\sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}}{\sqrt[3]{e \left(c + d x\right)}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3))/(e*(c + d*x))**(1/3), x)","F",0
253,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(2/3),x)","\int \frac{\sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3))/(e*(c + d*x))**(2/3), x)","F",0
254,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(4/3),x)","\int \frac{\sin{\left(a + \frac{b}{\left(c + d x\right)^{\frac{2}{3}}} \right)}}{\left(e \left(c + d x\right)\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral(sin(a + b/(c + d*x)**(2/3))/(e*(c + d*x))**(4/3), x)","F",0
255,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(5/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(7/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(8/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)**(2/3))/(d*e*x+c*e)**(10/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.000000," ","integrate((e*x)**m*sin(a+b*(d*x+c)**n),x)","\int \left(e x\right)^{m} \sin{\left(a + b \left(c + d x\right)^{n} \right)}\, dx"," ",0,"Integral((e*x)**m*sin(a + b*(c + d*x)**n), x)","F",0
260,0,0,0,0.000000," ","integrate(x**3*sin(a+b*(d*x+c)**n),x)","\int x^{3} \sin{\left(a + b \left(c + d x\right)^{n} \right)}\, dx"," ",0,"Integral(x**3*sin(a + b*(c + d*x)**n), x)","F",0
261,0,0,0,0.000000," ","integrate(x**2*sin(a+b*(d*x+c)**n),x)","\int x^{2} \sin{\left(a + b \left(c + d x\right)^{n} \right)}\, dx"," ",0,"Integral(x**2*sin(a + b*(c + d*x)**n), x)","F",0
262,0,0,0,0.000000," ","integrate(x*sin(a+b*(d*x+c)**n),x)","\int x \sin{\left(a + b \left(c + d x\right)^{n} \right)}\, dx"," ",0,"Integral(x*sin(a + b*(c + d*x)**n), x)","F",0
263,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**n),x)","\int \sin{\left(a + b \left(c + d x\right)^{n} \right)}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**n), x)","F",0
264,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**n)/x,x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{n} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**n)/x, x)","F",0
265,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)**n)/x**2,x)","\int \frac{\sin{\left(a + b \left(c + d x\right)^{n} \right)}}{x^{2}}\, dx"," ",0,"Integral(sin(a + b*(c + d*x)**n)/x**2, x)","F",0
266,0,0,0,0.000000," ","integrate(x**3*(a+b*sin(c+d*(g*x+f)**n)),x)","\int x^{3} \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)\, dx"," ",0,"Integral(x**3*(a + b*sin(c + d*(f + g*x)**n)), x)","F",0
267,0,0,0,0.000000," ","integrate(x**2*(a+b*sin(c+d*(g*x+f)**n)),x)","\int x^{2} \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)\, dx"," ",0,"Integral(x**2*(a + b*sin(c + d*(f + g*x)**n)), x)","F",0
268,0,0,0,0.000000," ","integrate(x*(a+b*sin(c+d*(g*x+f)**n)),x)","\int x \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)\, dx"," ",0,"Integral(x*(a + b*sin(c + d*(f + g*x)**n)), x)","F",0
269,0,0,0,0.000000," ","integrate(a+b*sin(c+d*(g*x+f)**n),x)","\int \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)\, dx"," ",0,"Integral(a + b*sin(c + d*(f + g*x)**n), x)","F",0
270,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)**n))/x,x)","\int \frac{a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*(f + g*x)**n))/x, x)","F",0
271,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)**n))/x**2,x)","\int \frac{a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*(f + g*x)**n))/x**2, x)","F",0
272,0,0,0,0.000000," ","integrate(x**2*(a+b*sin(c+d*(g*x+f)**n))**2,x)","\int x^{2} \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(a + b*sin(c + d*(f + g*x)**n))**2, x)","F",0
273,0,0,0,0.000000," ","integrate(x*(a+b*sin(c+d*(g*x+f)**n))**2,x)","\int x \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)^{2}\, dx"," ",0,"Integral(x*(a + b*sin(c + d*(f + g*x)**n))**2, x)","F",0
274,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)**n))**2,x)","\int \left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sin(c + d*(f + g*x)**n))**2, x)","F",0
275,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)**n))**2/x,x)","\int \frac{\left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*sin(c + d*(f + g*x)**n))**2/x, x)","F",0
276,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)**n))**2/x**2,x)","\int \frac{\left(a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d*(f + g*x)**n))**2/x**2, x)","F",0
277,-1,0,0,0.000000," ","integrate(x**2/(a+b*sin(c+d*(g*x+f)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,-1,0,0,0.000000," ","integrate(x/(a+b*sin(c+d*(g*x+f)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d*(g*x+f)**n)),x)","\int \frac{1}{a + b \sin{\left(c + d \left(f + g x\right)^{n} \right)}}\, dx"," ",0,"Integral(1/(a + b*sin(c + d*(f + g*x)**n)), x)","F",0
280,-1,0,0,0.000000," ","integrate(1/x/(a+b*sin(c+d*(g*x+f)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,-1,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(c+d*(g*x+f)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate(x**2/(a+b*sin(c+d*(g*x+f)**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,-1,0,0,0.000000," ","integrate(x/(a+b*sin(c+d*(g*x+f)**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,-1,0,0,0.000000," ","integrate(1/(a+b*sin(c+d*(g*x+f)**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,-1,0,0,0.000000," ","integrate(1/x/(a+b*sin(c+d*(g*x+f)**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,-1,0,0,0.000000," ","integrate(1/x**2/(a+b*sin(c+d*(g*x+f)**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*sin(c+d*(g*x+f)**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*sin(c+d/x)),x)","\int \left(a + b \sin{\left(c + \frac{d}{x} \right)}\right) \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*sin(c + d/x))*(e + f*x)**2, x)","F",0
289,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*sin(c+d/x)),x)","\int \left(a + b \sin{\left(c + \frac{d}{x} \right)}\right) \left(e + f x\right)\, dx"," ",0,"Integral((a + b*sin(c + d/x))*(e + f*x), x)","F",0
290,0,0,0,0.000000," ","integrate(a+b*sin(c+d/x),x)","\int \left(a + b \sin{\left(c + \frac{d}{x} \right)}\right)\, dx"," ",0,"Integral(a + b*sin(c + d/x), x)","F",0
291,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))/(f*x+e),x)","\int \frac{a + b \sin{\left(c + \frac{d}{x} \right)}}{e + f x}\, dx"," ",0,"Integral((a + b*sin(c + d/x))/(e + f*x), x)","F",0
292,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))/(f*x+e)**2,x)","\int \frac{a + b \sin{\left(c + \frac{d}{x} \right)}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d/x))/(e + f*x)**2, x)","F",0
293,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))/(f*x+e)**3,x)","\int \frac{a + b \sin{\left(c + \frac{d}{x} \right)}}{\left(e + f x\right)^{3}}\, dx"," ",0,"Integral((a + b*sin(c + d/x))/(e + f*x)**3, x)","F",0
294,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*sin(c+d/x))**2,x)","\int \left(a + b \sin{\left(c + \frac{d}{x} \right)}\right)^{2} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*sin(c + d/x))**2*(e + f*x), x)","F",0
295,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))**2,x)","\int \left(a + b \sin{\left(c + \frac{d}{x} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*sin(c + d/x))**2, x)","F",0
296,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))**2/(f*x+e),x)","\int \frac{\left(a + b \sin{\left(c + \frac{d}{x} \right)}\right)^{2}}{e + f x}\, dx"," ",0,"Integral((a + b*sin(c + d/x))**2/(e + f*x), x)","F",0
297,0,0,0,0.000000," ","integrate((a+b*sin(c+d/x))**2/(f*x+e)**2,x)","\int \frac{\left(a + b \sin{\left(c + \frac{d}{x} \right)}\right)^{2}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*sin(c + d/x))**2/(e + f*x)**2, x)","F",0
298,-1,0,0,0.000000," ","integrate((a+b*sin(c+d/x))**2/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate((f*x+e)**2/(a+b*sin(c+d/x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-1,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
301,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d/x)),x)","\int \frac{1}{a + b \sin{\left(c + \frac{d}{x} \right)}}\, dx"," ",0,"Integral(1/(a + b*sin(c + d/x)), x)","F",0
302,-1,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,-1,0,0,0.000000," ","integrate((f*x+e)**2/(a+b*sin(c+d/x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
304,-1,0,0,0.000000," ","integrate((f*x+e)**2/(a+b*sin(c+d/x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,-1,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
306,-1,0,0,0.000000," ","integrate(1/(a+b*sin(c+d/x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
307,-1,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
308,-1,0,0,0.000000," ","integrate((f*x+e)**2/(a+b*sin(c+d/x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
309,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*sin(c+d/x))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
310,0,0,0,0.000000," ","integrate(x**m*(c*sin(b*x+a)**3)**(1/3),x)","\int x^{m} \sqrt[3]{c \sin^{3}{\left(a + b x \right)}}\, dx"," ",0,"Integral(x**m*(c*sin(a + b*x)**3)**(1/3), x)","F",0
311,1,143,0,21.524173," ","integrate(x**3*(c*sin(b*x+a)**3)**(1/3),x)","\begin{cases} \frac{x^{4} \sqrt[3]{c \sin^{3}{\left(a \right)}}}{4} & \text{for}\: b = 0 \\0 & \text{for}\: a = - b x \vee a = - b x + \pi \\- \frac{\sqrt[3]{c} x^{3} \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b \sin{\left(a + b x \right)}} + \frac{3 \sqrt[3]{c} x^{2} \sqrt[3]{\sin^{3}{\left(a + b x \right)}}}{b^{2}} + \frac{6 \sqrt[3]{c} x \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b^{3} \sin{\left(a + b x \right)}} - \frac{6 \sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x \right)}}}{b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*(c*sin(a)**3)**(1/3)/4, Eq(b, 0)), (0, Eq(a, -b*x) | Eq(a, -b*x + pi)), (-c**(1/3)*x**3*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b*sin(a + b*x)) + 3*c**(1/3)*x**2*(sin(a + b*x)**3)**(1/3)/b**2 + 6*c**(1/3)*x*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b**3*sin(a + b*x)) - 6*c**(1/3)*(sin(a + b*x)**3)**(1/3)/b**4, True))","A",0
312,1,117,0,9.542257," ","integrate(x**2*(c*sin(b*x+a)**3)**(1/3),x)","\begin{cases} 0 & \text{for}\: a = - b x \vee a = - b x + \pi \\\frac{x^{3} \sqrt[3]{c \sin^{3}{\left(a \right)}}}{3} & \text{for}\: b = 0 \\- \frac{\sqrt[3]{c} x^{2} \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b \sin{\left(a + b x \right)}} + \frac{2 \sqrt[3]{c} x \sqrt[3]{\sin^{3}{\left(a + b x \right)}}}{b^{2}} + \frac{2 \sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b^{3} \sin{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, -b*x) | Eq(a, -b*x + pi)), (x**3*(c*sin(a)**3)**(1/3)/3, Eq(b, 0)), (-c**(1/3)*x**2*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b*sin(a + b*x)) + 2*c**(1/3)*x*(sin(a + b*x)**3)**(1/3)/b**2 + 2*c**(1/3)*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b**3*sin(a + b*x)), True))","A",0
313,1,76,0,4.512026," ","integrate(x*(c*sin(b*x+a)**3)**(1/3),x)","\begin{cases} 0 & \text{for}\: a = - b x \vee a = - b x + \pi \\\frac{x^{2} \sqrt[3]{c \sin^{3}{\left(a \right)}}}{2} & \text{for}\: b = 0 \\- \frac{\sqrt[3]{c} x \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b \sin{\left(a + b x \right)}} + \frac{\sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x \right)}}}{b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, -b*x) | Eq(a, -b*x + pi)), (x**2*(c*sin(a)**3)**(1/3)/2, Eq(b, 0)), (-c**(1/3)*x*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b*sin(a + b*x)) + c**(1/3)*(sin(a + b*x)**3)**(1/3)/b**2, True))","A",0
314,1,53,0,1.815884," ","integrate((c*sin(b*x+a)**3)**(1/3),x)","\begin{cases} 0 & \text{for}\: a = - b x \vee a = - b x + \pi \\x \sqrt[3]{c \sin^{3}{\left(a \right)}} & \text{for}\: b = 0 \\- \frac{\sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x \right)}} \cos{\left(a + b x \right)}}{b \sin{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, -b*x) | Eq(a, -b*x + pi)), (x*(c*sin(a)**3)**(1/3), Eq(b, 0)), (-c**(1/3)*(sin(a + b*x)**3)**(1/3)*cos(a + b*x)/(b*sin(a + b*x)), True))","A",0
315,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(1/3)/x,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x \right)}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(1/3)/x, x)","F",0
316,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x \right)}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(1/3)/x**2, x)","F",0
317,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x \right)}}}{x^{3}}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(1/3)/x**3, x)","F",0
318,0,0,0,0.000000," ","integrate(x**m*(c*sin(b*x**2+a)**3)**(1/3),x)","\int x^{m} \sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}\, dx"," ",0,"Integral(x**m*(c*sin(a + b*x**2)**3)**(1/3), x)","F",0
319,1,92,0,23.186009," ","integrate(x**3*(c*sin(b*x**2+a)**3)**(1/3),x)","\begin{cases} \frac{x^{4} \sqrt[3]{c \sin^{3}{\left(a \right)}}}{4} & \text{for}\: b = 0 \\0 & \text{for}\: a = - b x^{2} \vee a = - b x^{2} + \pi \\- \frac{\sqrt[3]{c} x^{2} \sqrt[3]{\sin^{3}{\left(a + b x^{2} \right)}} \cos{\left(a + b x^{2} \right)}}{2 b \sin{\left(a + b x^{2} \right)}} + \frac{\sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x^{2} \right)}}}{2 b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*(c*sin(a)**3)**(1/3)/4, Eq(b, 0)), (0, Eq(a, -b*x**2) | Eq(a, -b*x**2 + pi)), (-c**(1/3)*x**2*(sin(a + b*x**2)**3)**(1/3)*cos(a + b*x**2)/(2*b*sin(a + b*x**2)) + c**(1/3)*(sin(a + b*x**2)**3)**(1/3)/(2*b**2), True))","A",0
320,0,0,0,0.000000," ","integrate(x**2*(c*sin(b*x**2+a)**3)**(1/3),x)","\int x^{2} \sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}\, dx"," ",0,"Integral(x**2*(c*sin(a + b*x**2)**3)**(1/3), x)","F",0
321,1,66,0,4.420321," ","integrate(x*(c*sin(b*x**2+a)**3)**(1/3),x)","\begin{cases} 0 & \text{for}\: a = - b x^{2} \vee a = - b x^{2} + \pi \\\frac{x^{2} \sqrt[3]{c \sin^{3}{\left(a \right)}}}{2} & \text{for}\: b = 0 \\- \frac{\sqrt[3]{c} \sqrt[3]{\sin^{3}{\left(a + b x^{2} \right)}} \cos{\left(a + b x^{2} \right)}}{2 b \sin{\left(a + b x^{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, -b*x**2) | Eq(a, -b*x**2 + pi)), (x**2*(c*sin(a)**3)**(1/3)/2, Eq(b, 0)), (-c**(1/3)*(sin(a + b*x**2)**3)**(1/3)*cos(a + b*x**2)/(2*b*sin(a + b*x**2)), True))","A",0
322,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(1/3),x)","\int \sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(1/3), x)","F",0
323,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(1/3)/x,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(1/3)/x, x)","F",0
324,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(1/3)/x**2, x)","F",0
325,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{2} \right)}}}{x^{3}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(1/3)/x**3, x)","F",0
326,0,0,0,0.000000," ","integrate(x**m*(c*sin(a+b*x**n)**3)**(1/3),x)","\int x^{m} \sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}\, dx"," ",0,"Integral(x**m*(c*sin(a + b*x**n)**3)**(1/3), x)","F",0
327,0,0,0,0.000000," ","integrate(x**3*(c*sin(a+b*x**n)**3)**(1/3),x)","\int x^{3} \sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}\, dx"," ",0,"Integral(x**3*(c*sin(a + b*x**n)**3)**(1/3), x)","F",0
328,0,0,0,0.000000," ","integrate(x**2*(c*sin(a+b*x**n)**3)**(1/3),x)","\int x^{2} \sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}\, dx"," ",0,"Integral(x**2*(c*sin(a + b*x**n)**3)**(1/3), x)","F",0
329,0,0,0,0.000000," ","integrate(x*(c*sin(a+b*x**n)**3)**(1/3),x)","\int x \sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}\, dx"," ",0,"Integral(x*(c*sin(a + b*x**n)**3)**(1/3), x)","F",0
330,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(1/3),x)","\int \sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(1/3), x)","F",0
331,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(1/3)/x,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(1/3)/x, x)","F",0
332,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(1/3)/x**2,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(1/3)/x**2, x)","F",0
333,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(1/3)/x**3,x)","\int \frac{\sqrt[3]{c \sin^{3}{\left(a + b x^{n} \right)}}}{x^{3}}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(1/3)/x**3, x)","F",0
334,0,0,0,0.000000," ","integrate(x**m*(c*sin(b*x+a)**3)**(2/3),x)","\int x^{m} \left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**m*(c*sin(a + b*x)**3)**(2/3), x)","F",0
335,0,0,0,0.000000," ","integrate(x**3*(c*sin(b*x+a)**3)**(2/3),x)","\int x^{3} \left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**3*(c*sin(a + b*x)**3)**(2/3), x)","F",0
336,0,0,0,0.000000," ","integrate(x**2*(c*sin(b*x+a)**3)**(2/3),x)","\int x^{2} \left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**2*(c*sin(a + b*x)**3)**(2/3), x)","F",0
337,0,0,0,0.000000," ","integrate(x*(c*sin(b*x+a)**3)**(2/3),x)","\int x \left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x*(c*sin(a + b*x)**3)**(2/3), x)","F",0
338,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(2/3),x)","\int \left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(2/3), x)","F",0
339,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(2/3)/x,x)","\int \frac{\left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(2/3)/x, x)","F",0
340,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(2/3)/x**2,x)","\int \frac{\left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(2/3)/x**2, x)","F",0
341,0,0,0,0.000000," ","integrate((c*sin(b*x+a)**3)**(2/3)/x**3,x)","\int \frac{\left(c \sin^{3}{\left(a + b x \right)}\right)^{\frac{2}{3}}}{x^{3}}\, dx"," ",0,"Integral((c*sin(a + b*x)**3)**(2/3)/x**3, x)","F",0
342,0,0,0,0.000000," ","integrate(x**m*(c*sin(b*x**2+a)**3)**(2/3),x)","\int x^{m} \left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**m*(c*sin(a + b*x**2)**3)**(2/3), x)","F",0
343,0,0,0,0.000000," ","integrate(x**3*(c*sin(b*x**2+a)**3)**(2/3),x)","\int x^{3} \left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**3*(c*sin(a + b*x**2)**3)**(2/3), x)","F",0
344,0,0,0,0.000000," ","integrate(x**2*(c*sin(b*x**2+a)**3)**(2/3),x)","\int x^{2} \left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x**2*(c*sin(a + b*x**2)**3)**(2/3), x)","F",0
345,0,0,0,0.000000," ","integrate(x*(c*sin(b*x**2+a)**3)**(2/3),x)","\int x \left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x*(c*sin(a + b*x**2)**3)**(2/3), x)","F",0
346,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(2/3),x)","\int \left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(2/3), x)","F",0
347,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(2/3)/x,x)","\int \frac{\left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(2/3)/x, x)","F",0
348,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(2/3)/x**2,x)","\int \frac{\left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(2/3)/x**2, x)","F",0
349,0,0,0,0.000000," ","integrate((c*sin(b*x**2+a)**3)**(2/3)/x**3,x)","\int \frac{\left(c \sin^{3}{\left(a + b x^{2} \right)}\right)^{\frac{2}{3}}}{x^{3}}\, dx"," ",0,"Integral((c*sin(a + b*x**2)**3)**(2/3)/x**3, x)","F",0
350,-1,0,0,0.000000," ","integrate(x**m*(c*sin(a+b*x**n)**3)**(2/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
351,-1,0,0,0.000000," ","integrate(x**3*(c*sin(a+b*x**n)**3)**(2/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
352,-1,0,0,0.000000," ","integrate(x**2*(c*sin(a+b*x**n)**3)**(2/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
353,0,0,0,0.000000," ","integrate(x*(c*sin(a+b*x**n)**3)**(2/3),x)","\int x \left(c \sin^{3}{\left(a + b x^{n} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral(x*(c*sin(a + b*x**n)**3)**(2/3), x)","F",0
354,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(2/3),x)","\int \left(c \sin^{3}{\left(a + b x^{n} \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(2/3), x)","F",0
355,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(2/3)/x,x)","\int \frac{\left(c \sin^{3}{\left(a + b x^{n} \right)}\right)^{\frac{2}{3}}}{x}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(2/3)/x, x)","F",0
356,0,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(2/3)/x**2,x)","\int \frac{\left(c \sin^{3}{\left(a + b x^{n} \right)}\right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"Integral((c*sin(a + b*x**n)**3)**(2/3)/x**2, x)","F",0
357,-1,0,0,0.000000," ","integrate((c*sin(a+b*x**n)**3)**(2/3)/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
