1,1,151,0,2.340947," ","integrate(x**3*(b*x+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 a x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 a x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 a \sin{\left(c + d x \right)}}{d^{4}} - \frac{b x^{4} \cos{\left(c + d x \right)}}{d} + \frac{4 b x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 b x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{24 b x \sin{\left(c + d x \right)}}{d^{4}} - \frac{24 b \cos{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{4}}{4} + \frac{b x^{5}}{5}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**3*cos(c + d*x)/d + 3*a*x**2*sin(c + d*x)/d**2 + 6*a*x*cos(c + d*x)/d**3 - 6*a*sin(c + d*x)/d**4 - b*x**4*cos(c + d*x)/d + 4*b*x**3*sin(c + d*x)/d**2 + 12*b*x**2*cos(c + d*x)/d**3 - 24*b*x*sin(c + d*x)/d**4 - 24*b*cos(c + d*x)/d**5, Ne(d, 0)), ((a*x**4/4 + b*x**5/5)*sin(c), True))","A",0
2,1,117,0,1.145469," ","integrate(x**2*(b*x+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 a x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 a \cos{\left(c + d x \right)}}{d^{3}} - \frac{b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 b \sin{\left(c + d x \right)}}{d^{4}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{3}}{3} + \frac{b x^{4}}{4}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**2*cos(c + d*x)/d + 2*a*x*sin(c + d*x)/d**2 + 2*a*cos(c + d*x)/d**3 - b*x**3*cos(c + d*x)/d + 3*b*x**2*sin(c + d*x)/d**2 + 6*b*x*cos(c + d*x)/d**3 - 6*b*sin(c + d*x)/d**4, Ne(d, 0)), ((a*x**3/3 + b*x**4/4)*sin(c), True))","A",0
3,1,82,0,0.590889," ","integrate(x*(b*x+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x \cos{\left(c + d x \right)}}{d} + \frac{a \sin{\left(c + d x \right)}}{d^{2}} - \frac{b x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 b x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 b \cos{\left(c + d x \right)}}{d^{3}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{2}}{2} + \frac{b x^{3}}{3}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x*cos(c + d*x)/d + a*sin(c + d*x)/d**2 - b*x**2*cos(c + d*x)/d + 2*b*x*sin(c + d*x)/d**2 + 2*b*cos(c + d*x)/d**3, Ne(d, 0)), ((a*x**2/2 + b*x**3/3)*sin(c), True))","A",0
4,1,46,0,0.239382," ","integrate((b*x+a)*sin(d*x+c),x)","\begin{cases} - \frac{a \cos{\left(c + d x \right)}}{d} - \frac{b x \cos{\left(c + d x \right)}}{d} + \frac{b \sin{\left(c + d x \right)}}{d^{2}} & \text{for}\: d \neq 0 \\\left(a x + \frac{b x^{2}}{2}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*cos(c + d*x)/d - b*x*cos(c + d*x)/d + b*sin(c + d*x)/d**2, Ne(d, 0)), ((a*x + b*x**2/2)*sin(c), True))","A",0
5,1,37,0,6.400604," ","integrate((b*x+a)*sin(d*x+c)/x,x)","- a \left(- \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} - \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)}\right) - b \left(\begin{cases} - x \sin{\left(c \right)} & \text{for}\: d = 0 \\\frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"-a*(-sin(c)*Ci(d*x) - cos(c)*Si(d*x)) - b*Piecewise((-x*sin(c), Eq(d, 0)), (cos(c + d*x)/d, True))","A",0
6,0,0,0,0.000000," ","integrate((b*x+a)*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x\right) \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)*sin(c + d*x)/x**2, x)","F",0
7,0,0,0,0.000000," ","integrate((b*x+a)*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x\right) \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)*sin(c + d*x)/x**3, x)","F",0
8,0,0,0,0.000000," ","integrate((b*x+a)*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x\right) \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)*sin(c + d*x)/x**4, x)","F",0
9,0,0,0,0.000000," ","integrate((b*x+a)*sin(d*x+c)/x**5,x)","\int \frac{\left(a + b x\right) \sin{\left(c + d x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)*sin(c + d*x)/x**5, x)","F",0
10,1,228,0,2.690312," ","integrate(x**2*(b*x+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 a^{2} x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 a^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{2 a b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{6 a b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 a b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{12 a b \sin{\left(c + d x \right)}}{d^{4}} - \frac{b^{2} x^{4} \cos{\left(c + d x \right)}}{d} + \frac{4 b^{2} x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 b^{2} x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{24 b^{2} x \sin{\left(c + d x \right)}}{d^{4}} - \frac{24 b^{2} \cos{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\left(\frac{a^{2} x^{3}}{3} + \frac{a b x^{4}}{2} + \frac{b^{2} x^{5}}{5}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*x**2*cos(c + d*x)/d + 2*a**2*x*sin(c + d*x)/d**2 + 2*a**2*cos(c + d*x)/d**3 - 2*a*b*x**3*cos(c + d*x)/d + 6*a*b*x**2*sin(c + d*x)/d**2 + 12*a*b*x*cos(c + d*x)/d**3 - 12*a*b*sin(c + d*x)/d**4 - b**2*x**4*cos(c + d*x)/d + 4*b**2*x**3*sin(c + d*x)/d**2 + 12*b**2*x**2*cos(c + d*x)/d**3 - 24*b**2*x*sin(c + d*x)/d**4 - 24*b**2*cos(c + d*x)/d**5, Ne(d, 0)), ((a**2*x**3/3 + a*b*x**4/2 + b**2*x**5/5)*sin(c), True))","A",0
11,1,172,0,1.367798," ","integrate(x*(b*x+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} x \cos{\left(c + d x \right)}}{d} + \frac{a^{2} \sin{\left(c + d x \right)}}{d^{2}} - \frac{2 a b x^{2} \cos{\left(c + d x \right)}}{d} + \frac{4 a b x \sin{\left(c + d x \right)}}{d^{2}} + \frac{4 a b \cos{\left(c + d x \right)}}{d^{3}} - \frac{b^{2} x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 b^{2} x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 b^{2} x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 b^{2} \sin{\left(c + d x \right)}}{d^{4}} & \text{for}\: d \neq 0 \\\left(\frac{a^{2} x^{2}}{2} + \frac{2 a b x^{3}}{3} + \frac{b^{2} x^{4}}{4}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*x*cos(c + d*x)/d + a**2*sin(c + d*x)/d**2 - 2*a*b*x**2*cos(c + d*x)/d + 4*a*b*x*sin(c + d*x)/d**2 + 4*a*b*cos(c + d*x)/d**3 - b**2*x**3*cos(c + d*x)/d + 3*b**2*x**2*sin(c + d*x)/d**2 + 6*b**2*x*cos(c + d*x)/d**3 - 6*b**2*sin(c + d*x)/d**4, Ne(d, 0)), ((a**2*x**2/2 + 2*a*b*x**3/3 + b**2*x**4/4)*sin(c), True))","A",0
12,1,112,0,0.722023," ","integrate((b*x+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} \cos{\left(c + d x \right)}}{d} - \frac{2 a b x \cos{\left(c + d x \right)}}{d} + \frac{2 a b \sin{\left(c + d x \right)}}{d^{2}} - \frac{b^{2} x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 b^{2} x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 b^{2} \cos{\left(c + d x \right)}}{d^{3}} & \text{for}\: d \neq 0 \\\left(a^{2} x + a b x^{2} + \frac{b^{2} x^{3}}{3}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*cos(c + d*x)/d - 2*a*b*x*cos(c + d*x)/d + 2*a*b*sin(c + d*x)/d**2 - b**2*x**2*cos(c + d*x)/d + 2*b**2*x*sin(c + d*x)/d**2 + 2*b**2*cos(c + d*x)/d**3, Ne(d, 0)), ((a**2*x + a*b*x**2 + b**2*x**3/3)*sin(c), True))","A",0
13,1,90,0,4.905605," ","integrate((b*x+a)**2*sin(d*x+c)/x,x)","a^{2} \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} + a^{2} \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)} + 2 a b \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) + b^{2} x \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - b^{2} \left(\begin{cases} - x \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{\sin{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cos{\left(c \right)} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"a**2*sin(c)*Ci(d*x) + a**2*cos(c)*Si(d*x) + 2*a*b*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) + b**2*x*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - b**2*Piecewise((-x*cos(c), Eq(d, 0)), (-Piecewise((sin(c + d*x)/d, Ne(d, 0)), (x*cos(c), True))/d, True))","A",0
14,0,0,0,0.000000," ","integrate((b*x+a)**2*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x\right)^{2} \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x)**2*sin(c + d*x)/x**2, x)","F",0
15,0,0,0,0.000000," ","integrate((b*x+a)**2*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x\right)^{2} \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x)**2*sin(c + d*x)/x**3, x)","F",0
16,0,0,0,0.000000," ","integrate((b*x+a)**2*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x\right)^{2} \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x)**2*sin(c + d*x)/x**4, x)","F",0
17,0,0,0,0.000000," ","integrate((b*x+a)**2*sin(d*x+c)/x**5,x)","\int \frac{\left(a + b x\right)^{2} \sin{\left(c + d x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*x)**2*sin(c + d*x)/x**5, x)","F",0
18,0,0,0,0.000000," ","integrate(x**4*sin(d*x+c)/(b*x+a),x)","\int \frac{x^{4} \sin{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(x**4*sin(c + d*x)/(a + b*x), x)","F",0
19,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x+a),x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x), x)","F",0
20,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x+a),x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x), x)","F",0
21,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x+a),x)","\int \frac{x \sin{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x), x)","F",0
22,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x+a),x)","\int \frac{\sin{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x), x)","F",0
23,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x)), x)","F",0
24,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x^{2} \left(a + b x\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x**2*(a + b*x)), x)","F",0
25,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x^{3} \left(a + b x\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x**3*(a + b*x)), x)","F",0
26,0,0,0,0.000000," ","integrate(x**4*sin(d*x+c)/(b*x+a)**2,x)","\int \frac{x^{4} \sin{\left(c + d x \right)}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x**4*sin(c + d*x)/(a + b*x)**2, x)","F",0
27,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x+a)**2,x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x)**2, x)","F",0
28,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x+a)**2,x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x)**2, x)","F",0
29,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x+a)**2,x)","\int \frac{x \sin{\left(c + d x \right)}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x)**2, x)","F",0
30,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x)**2), x)","F",0
32,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{x^{2} \left(a + b x\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(x**2*(a + b*x)**2), x)","F",0
33,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x+a)**3,x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{\left(a + b x\right)^{3}}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x)**3, x)","F",0
34,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x+a)**3,x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{\left(a + b x\right)^{3}}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x)**3, x)","F",0
35,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x+a)**3,x)","\int \frac{x \sin{\left(c + d x \right)}}{\left(a + b x\right)^{3}}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x)**3, x)","F",0
36,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x+a)**3,x)","\int \frac{\sin{\left(c + d x \right)}}{\left(a + b x\right)^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x)**3, x)","F",0
37,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a)**3,x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x\right)^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x)**3), x)","F",0
38,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x+a)**3,x)","\int \frac{\sin{\left(c + d x \right)}}{x^{2} \left(a + b x\right)^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(x**2*(a + b*x)**3), x)","F",0
39,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x+a)**3,x)","\int \frac{\sin{\left(c + d x \right)}}{x^{3} \left(a + b x\right)^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(x**3*(a + b*x)**3), x)","F",0
40,1,168,0,4.126652," ","integrate(x**3*(b*x**2+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 a x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 a x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 a \sin{\left(c + d x \right)}}{d^{4}} - \frac{b x^{5} \cos{\left(c + d x \right)}}{d} + \frac{5 b x^{4} \sin{\left(c + d x \right)}}{d^{2}} + \frac{20 b x^{3} \cos{\left(c + d x \right)}}{d^{3}} - \frac{60 b x^{2} \sin{\left(c + d x \right)}}{d^{4}} - \frac{120 b x \cos{\left(c + d x \right)}}{d^{5}} + \frac{120 b \sin{\left(c + d x \right)}}{d^{6}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{4}}{4} + \frac{b x^{6}}{6}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**3*cos(c + d*x)/d + 3*a*x**2*sin(c + d*x)/d**2 + 6*a*x*cos(c + d*x)/d**3 - 6*a*sin(c + d*x)/d**4 - b*x**5*cos(c + d*x)/d + 5*b*x**4*sin(c + d*x)/d**2 + 20*b*x**3*cos(c + d*x)/d**3 - 60*b*x**2*sin(c + d*x)/d**4 - 120*b*x*cos(c + d*x)/d**5 + 120*b*sin(c + d*x)/d**6, Ne(d, 0)), ((a*x**4/4 + b*x**6/6)*sin(c), True))","A",0
41,1,134,0,2.344611," ","integrate(x**2*(b*x**2+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 a x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 a \cos{\left(c + d x \right)}}{d^{3}} - \frac{b x^{4} \cos{\left(c + d x \right)}}{d} + \frac{4 b x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 b x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{24 b x \sin{\left(c + d x \right)}}{d^{4}} - \frac{24 b \cos{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{3}}{3} + \frac{b x^{5}}{5}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**2*cos(c + d*x)/d + 2*a*x*sin(c + d*x)/d**2 + 2*a*cos(c + d*x)/d**3 - b*x**4*cos(c + d*x)/d + 4*b*x**3*sin(c + d*x)/d**2 + 12*b*x**2*cos(c + d*x)/d**3 - 24*b*x*sin(c + d*x)/d**4 - 24*b*cos(c + d*x)/d**5, Ne(d, 0)), ((a*x**3/3 + b*x**5/5)*sin(c), True))","A",0
42,1,99,0,1.181124," ","integrate(x*(b*x**2+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x \cos{\left(c + d x \right)}}{d} + \frac{a \sin{\left(c + d x \right)}}{d^{2}} - \frac{b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 b \sin{\left(c + d x \right)}}{d^{4}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{2}}{2} + \frac{b x^{4}}{4}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x*cos(c + d*x)/d + a*sin(c + d*x)/d**2 - b*x**3*cos(c + d*x)/d + 3*b*x**2*sin(c + d*x)/d**2 + 6*b*x*cos(c + d*x)/d**3 - 6*b*sin(c + d*x)/d**4, Ne(d, 0)), ((a*x**2/2 + b*x**4/4)*sin(c), True))","A",0
43,1,65,0,0.586761," ","integrate((b*x**2+a)*sin(d*x+c),x)","\begin{cases} - \frac{a \cos{\left(c + d x \right)}}{d} - \frac{b x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 b x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 b \cos{\left(c + d x \right)}}{d^{3}} & \text{for}\: d \neq 0 \\\left(a x + \frac{b x^{3}}{3}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*cos(c + d*x)/d - b*x**2*cos(c + d*x)/d + 2*b*x*sin(c + d*x)/d**2 + 2*b*cos(c + d*x)/d**3, Ne(d, 0)), ((a*x + b*x**3/3)*sin(c), True))","A",0
44,1,63,0,4.903520," ","integrate((b*x**2+a)*sin(d*x+c)/x,x)","a \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} + a \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)} + b x \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - b \left(\begin{cases} - x \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{\sin{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cos{\left(c \right)} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"a*sin(c)*Ci(d*x) + a*cos(c)*Si(d*x) + b*x*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - b*Piecewise((-x*cos(c), Eq(d, 0)), (-Piecewise((sin(c + d*x)/d, Ne(d, 0)), (x*cos(c), True))/d, True))","A",0
45,0,0,0,0.000000," ","integrate((b*x**2+a)*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x^{2}\right) \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x**2)*sin(c + d*x)/x**2, x)","F",0
46,0,0,0,0.000000," ","integrate((b*x**2+a)*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x^{2}\right) \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x**2)*sin(c + d*x)/x**3, x)","F",0
47,0,0,0,0.000000," ","integrate((b*x**2+a)*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x^{2}\right) \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x**2)*sin(c + d*x)/x**4, x)","F",0
48,0,0,0,0.000000," ","integrate((b*x**2+a)*sin(d*x+c)/x**5,x)","\int \frac{\left(a + b x^{2}\right) \sin{\left(c + d x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*x**2)*sin(c + d*x)/x**5, x)","F",0
49,1,286,0,7.533777," ","integrate(x**2*(b*x**2+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 a^{2} x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 a^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{2 a b x^{4} \cos{\left(c + d x \right)}}{d} + \frac{8 a b x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{24 a b x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{48 a b x \sin{\left(c + d x \right)}}{d^{4}} - \frac{48 a b \cos{\left(c + d x \right)}}{d^{5}} - \frac{b^{2} x^{6} \cos{\left(c + d x \right)}}{d} + \frac{6 b^{2} x^{5} \sin{\left(c + d x \right)}}{d^{2}} + \frac{30 b^{2} x^{4} \cos{\left(c + d x \right)}}{d^{3}} - \frac{120 b^{2} x^{3} \sin{\left(c + d x \right)}}{d^{4}} - \frac{360 b^{2} x^{2} \cos{\left(c + d x \right)}}{d^{5}} + \frac{720 b^{2} x \sin{\left(c + d x \right)}}{d^{6}} + \frac{720 b^{2} \cos{\left(c + d x \right)}}{d^{7}} & \text{for}\: d \neq 0 \\\left(\frac{a^{2} x^{3}}{3} + \frac{2 a b x^{5}}{5} + \frac{b^{2} x^{7}}{7}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*x**2*cos(c + d*x)/d + 2*a**2*x*sin(c + d*x)/d**2 + 2*a**2*cos(c + d*x)/d**3 - 2*a*b*x**4*cos(c + d*x)/d + 8*a*b*x**3*sin(c + d*x)/d**2 + 24*a*b*x**2*cos(c + d*x)/d**3 - 48*a*b*x*sin(c + d*x)/d**4 - 48*a*b*cos(c + d*x)/d**5 - b**2*x**6*cos(c + d*x)/d + 6*b**2*x**5*sin(c + d*x)/d**2 + 30*b**2*x**4*cos(c + d*x)/d**3 - 120*b**2*x**3*sin(c + d*x)/d**4 - 360*b**2*x**2*cos(c + d*x)/d**5 + 720*b**2*x*sin(c + d*x)/d**6 + 720*b**2*cos(c + d*x)/d**7, Ne(d, 0)), ((a**2*x**3/3 + 2*a*b*x**5/5 + b**2*x**7/7)*sin(c), True))","A",0
50,1,226,0,4.551516," ","integrate(x*(b*x**2+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} x \cos{\left(c + d x \right)}}{d} + \frac{a^{2} \sin{\left(c + d x \right)}}{d^{2}} - \frac{2 a b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{6 a b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 a b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{12 a b \sin{\left(c + d x \right)}}{d^{4}} - \frac{b^{2} x^{5} \cos{\left(c + d x \right)}}{d} + \frac{5 b^{2} x^{4} \sin{\left(c + d x \right)}}{d^{2}} + \frac{20 b^{2} x^{3} \cos{\left(c + d x \right)}}{d^{3}} - \frac{60 b^{2} x^{2} \sin{\left(c + d x \right)}}{d^{4}} - \frac{120 b^{2} x \cos{\left(c + d x \right)}}{d^{5}} + \frac{120 b^{2} \sin{\left(c + d x \right)}}{d^{6}} & \text{for}\: d \neq 0 \\\left(\frac{a^{2} x^{2}}{2} + \frac{a b x^{4}}{2} + \frac{b^{2} x^{6}}{6}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*x*cos(c + d*x)/d + a**2*sin(c + d*x)/d**2 - 2*a*b*x**3*cos(c + d*x)/d + 6*a*b*x**2*sin(c + d*x)/d**2 + 12*a*b*x*cos(c + d*x)/d**3 - 12*a*b*sin(c + d*x)/d**4 - b**2*x**5*cos(c + d*x)/d + 5*b**2*x**4*sin(c + d*x)/d**2 + 20*b**2*x**3*cos(c + d*x)/d**3 - 60*b**2*x**2*sin(c + d*x)/d**4 - 120*b**2*x*cos(c + d*x)/d**5 + 120*b**2*sin(c + d*x)/d**6, Ne(d, 0)), ((a**2*x**2/2 + a*b*x**4/2 + b**2*x**6/6)*sin(c), True))","A",0
51,1,172,0,2.714861," ","integrate((b*x**2+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} \cos{\left(c + d x \right)}}{d} - \frac{2 a b x^{2} \cos{\left(c + d x \right)}}{d} + \frac{4 a b x \sin{\left(c + d x \right)}}{d^{2}} + \frac{4 a b \cos{\left(c + d x \right)}}{d^{3}} - \frac{b^{2} x^{4} \cos{\left(c + d x \right)}}{d} + \frac{4 b^{2} x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 b^{2} x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{24 b^{2} x \sin{\left(c + d x \right)}}{d^{4}} - \frac{24 b^{2} \cos{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\left(a^{2} x + \frac{2 a b x^{3}}{3} + \frac{b^{2} x^{5}}{5}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*cos(c + d*x)/d - 2*a*b*x**2*cos(c + d*x)/d + 4*a*b*x*sin(c + d*x)/d**2 + 4*a*b*cos(c + d*x)/d**3 - b**2*x**4*cos(c + d*x)/d + 4*b**2*x**3*sin(c + d*x)/d**2 + 12*b**2*x**2*cos(c + d*x)/d**3 - 24*b**2*x*sin(c + d*x)/d**4 - 24*b**2*cos(c + d*x)/d**5, Ne(d, 0)), ((a**2*x + 2*a*b*x**3/3 + b**2*x**5/5)*sin(c), True))","A",0
52,1,160,0,6.924793," ","integrate((b*x**2+a)**2*sin(d*x+c)/x,x)","a^{2} \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} + a^{2} \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)} + 2 a b x \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - 2 a b \left(\begin{cases} - x \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{\sin{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cos{\left(c \right)} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right) + b^{2} x^{3} \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - 3 b^{2} \left(\begin{cases} - \frac{x^{3} \cos{\left(c \right)}}{3} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{x^{2} \sin{\left(c + d x \right)}}{d} + \frac{2 x \cos{\left(c + d x \right)}}{d^{2}} - \frac{2 \sin{\left(c + d x \right)}}{d^{3}} & \text{for}\: d \neq 0 \\\frac{x^{3} \cos{\left(c \right)}}{3} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"a**2*sin(c)*Ci(d*x) + a**2*cos(c)*Si(d*x) + 2*a*b*x*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - 2*a*b*Piecewise((-x*cos(c), Eq(d, 0)), (-Piecewise((sin(c + d*x)/d, Ne(d, 0)), (x*cos(c), True))/d, True)) + b**2*x**3*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - 3*b**2*Piecewise((-x**3*cos(c)/3, Eq(d, 0)), (-Piecewise((x**2*sin(c + d*x)/d + 2*x*cos(c + d*x)/d**2 - 2*sin(c + d*x)/d**3, Ne(d, 0)), (x**3*cos(c)/3, True))/d, True))","A",0
53,0,0,0,0.000000," ","integrate((b*x**2+a)**2*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x^{2}\right)^{2} \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x**2)**2*sin(c + d*x)/x**2, x)","F",0
54,0,0,0,0.000000," ","integrate((b*x**2+a)**2*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x^{2}\right)^{2} \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x**2)**2*sin(c + d*x)/x**3, x)","F",0
55,0,0,0,0.000000," ","integrate((b*x**2+a)**2*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x^{2}\right)^{2} \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x**2)**2*sin(c + d*x)/x**4, x)","F",0
56,0,0,0,0.000000," ","integrate((b*x**2+a)**2*sin(d*x+c)/x**5,x)","\int \frac{\left(a + b x^{2}\right)^{2} \sin{\left(c + d x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*x**2)**2*sin(c + d*x)/x**5, x)","F",0
57,0,0,0,0.000000," ","integrate(x**4*sin(d*x+c)/(b*x**2+a),x)","\int \frac{x^{4} \sin{\left(c + d x \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(x**4*sin(c + d*x)/(a + b*x**2), x)","F",0
58,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**2+a),x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x**2), x)","F",0
59,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**2+a),x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x**2), x)","F",0
60,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**2+a),x)","\int \frac{x \sin{\left(c + d x \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x**2), x)","F",0
61,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**2+a),x)","\int \frac{\sin{\left(c + d x \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x**2), x)","F",0
62,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**2+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x**2)), x)","F",0
63,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x**2+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x^{2} \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x**2*(a + b*x**2)), x)","F",0
64,0,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x**2+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x^{3} \left(a + b x^{2}\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x**3*(a + b*x**2)), x)","F",0
65,0,0,0,0.000000," ","integrate(x**4*sin(d*x+c)/(b*x**2+a)**2,x)","\int \frac{x^{4} \sin{\left(c + d x \right)}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**4*sin(c + d*x)/(a + b*x**2)**2, x)","F",0
66,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**2+a)**2,x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x**2)**2, x)","F",0
67,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**2+a)**2,x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x**2)**2, x)","F",0
68,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**2+a)**2,x)","\int \frac{x \sin{\left(c + d x \right)}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x**2)**2, x)","F",0
69,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**2+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x**2)**2, x)","F",0
70,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**2+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x**2)**2), x)","F",0
71,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**2+a)**3,x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x^{2}\right)^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x**2)**3), x)","F",0
77,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,1,185,0,7.522627," ","integrate(x**3*(b*x**3+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 a x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 a x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 a \sin{\left(c + d x \right)}}{d^{4}} - \frac{b x^{6} \cos{\left(c + d x \right)}}{d} + \frac{6 b x^{5} \sin{\left(c + d x \right)}}{d^{2}} + \frac{30 b x^{4} \cos{\left(c + d x \right)}}{d^{3}} - \frac{120 b x^{3} \sin{\left(c + d x \right)}}{d^{4}} - \frac{360 b x^{2} \cos{\left(c + d x \right)}}{d^{5}} + \frac{720 b x \sin{\left(c + d x \right)}}{d^{6}} + \frac{720 b \cos{\left(c + d x \right)}}{d^{7}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{4}}{4} + \frac{b x^{7}}{7}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**3*cos(c + d*x)/d + 3*a*x**2*sin(c + d*x)/d**2 + 6*a*x*cos(c + d*x)/d**3 - 6*a*sin(c + d*x)/d**4 - b*x**6*cos(c + d*x)/d + 6*b*x**5*sin(c + d*x)/d**2 + 30*b*x**4*cos(c + d*x)/d**3 - 120*b*x**3*sin(c + d*x)/d**4 - 360*b*x**2*cos(c + d*x)/d**5 + 720*b*x*sin(c + d*x)/d**6 + 720*b*cos(c + d*x)/d**7, Ne(d, 0)), ((a*x**4/4 + b*x**7/7)*sin(c), True))","A",0
80,1,151,0,4.458172," ","integrate(x**2*(b*x**3+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x^{2} \cos{\left(c + d x \right)}}{d} + \frac{2 a x \sin{\left(c + d x \right)}}{d^{2}} + \frac{2 a \cos{\left(c + d x \right)}}{d^{3}} - \frac{b x^{5} \cos{\left(c + d x \right)}}{d} + \frac{5 b x^{4} \sin{\left(c + d x \right)}}{d^{2}} + \frac{20 b x^{3} \cos{\left(c + d x \right)}}{d^{3}} - \frac{60 b x^{2} \sin{\left(c + d x \right)}}{d^{4}} - \frac{120 b x \cos{\left(c + d x \right)}}{d^{5}} + \frac{120 b \sin{\left(c + d x \right)}}{d^{6}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{3}}{3} + \frac{b x^{6}}{6}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x**2*cos(c + d*x)/d + 2*a*x*sin(c + d*x)/d**2 + 2*a*cos(c + d*x)/d**3 - b*x**5*cos(c + d*x)/d + 5*b*x**4*sin(c + d*x)/d**2 + 20*b*x**3*cos(c + d*x)/d**3 - 60*b*x**2*sin(c + d*x)/d**4 - 120*b*x*cos(c + d*x)/d**5 + 120*b*sin(c + d*x)/d**6, Ne(d, 0)), ((a*x**3/3 + b*x**6/6)*sin(c), True))","A",0
81,1,116,0,2.550988," ","integrate(x*(b*x**3+a)*sin(d*x+c),x)","\begin{cases} - \frac{a x \cos{\left(c + d x \right)}}{d} + \frac{a \sin{\left(c + d x \right)}}{d^{2}} - \frac{b x^{4} \cos{\left(c + d x \right)}}{d} + \frac{4 b x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 b x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{24 b x \sin{\left(c + d x \right)}}{d^{4}} - \frac{24 b \cos{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\left(\frac{a x^{2}}{2} + \frac{b x^{5}}{5}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*x*cos(c + d*x)/d + a*sin(c + d*x)/d**2 - b*x**4*cos(c + d*x)/d + 4*b*x**3*sin(c + d*x)/d**2 + 12*b*x**2*cos(c + d*x)/d**3 - 24*b*x*sin(c + d*x)/d**4 - 24*b*cos(c + d*x)/d**5, Ne(d, 0)), ((a*x**2/2 + b*x**5/5)*sin(c), True))","A",0
82,1,82,0,1.213067," ","integrate((b*x**3+a)*sin(d*x+c),x)","\begin{cases} - \frac{a \cos{\left(c + d x \right)}}{d} - \frac{b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{3 b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{6 b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{6 b \sin{\left(c + d x \right)}}{d^{4}} & \text{for}\: d \neq 0 \\\left(a x + \frac{b x^{4}}{4}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*cos(c + d*x)/d - b*x**3*cos(c + d*x)/d + 3*b*x**2*sin(c + d*x)/d**2 + 6*b*x*cos(c + d*x)/d**3 - 6*b*sin(c + d*x)/d**4, Ne(d, 0)), ((a*x + b*x**4/4)*sin(c), True))","A",0
83,1,85,0,6.381707," ","integrate((b*x**3+a)*sin(d*x+c)/x,x)","a \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} + a \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)} + b x^{2} \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - 2 b \left(\begin{cases} - \frac{x^{2} \cos{\left(c \right)}}{2} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{x \sin{\left(c + d x \right)}}{d} + \frac{\cos{\left(c + d x \right)}}{d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{2} \cos{\left(c \right)}}{2} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"a*sin(c)*Ci(d*x) + a*cos(c)*Si(d*x) + b*x**2*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - 2*b*Piecewise((-x**2*cos(c)/2, Eq(d, 0)), (-Piecewise((x*sin(c + d*x)/d + cos(c + d*x)/d**2, Ne(d, 0)), (x**2*cos(c)/2, True))/d, True))","A",0
84,0,0,0,0.000000," ","integrate((b*x**3+a)*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x^{3}\right) \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x**3)*sin(c + d*x)/x**2, x)","F",0
85,0,0,0,0.000000," ","integrate((b*x**3+a)*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x^{3}\right) \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x**3)*sin(c + d*x)/x**3, x)","F",0
86,0,0,0,0.000000," ","integrate((b*x**3+a)*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x^{3}\right) \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x**3)*sin(c + d*x)/x**4, x)","F",0
87,1,284,0,11.926064," ","integrate(x*(b*x**3+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} x \cos{\left(c + d x \right)}}{d} + \frac{a^{2} \sin{\left(c + d x \right)}}{d^{2}} - \frac{2 a b x^{4} \cos{\left(c + d x \right)}}{d} + \frac{8 a b x^{3} \sin{\left(c + d x \right)}}{d^{2}} + \frac{24 a b x^{2} \cos{\left(c + d x \right)}}{d^{3}} - \frac{48 a b x \sin{\left(c + d x \right)}}{d^{4}} - \frac{48 a b \cos{\left(c + d x \right)}}{d^{5}} - \frac{b^{2} x^{7} \cos{\left(c + d x \right)}}{d} + \frac{7 b^{2} x^{6} \sin{\left(c + d x \right)}}{d^{2}} + \frac{42 b^{2} x^{5} \cos{\left(c + d x \right)}}{d^{3}} - \frac{210 b^{2} x^{4} \sin{\left(c + d x \right)}}{d^{4}} - \frac{840 b^{2} x^{3} \cos{\left(c + d x \right)}}{d^{5}} + \frac{2520 b^{2} x^{2} \sin{\left(c + d x \right)}}{d^{6}} + \frac{5040 b^{2} x \cos{\left(c + d x \right)}}{d^{7}} - \frac{5040 b^{2} \sin{\left(c + d x \right)}}{d^{8}} & \text{for}\: d \neq 0 \\\left(\frac{a^{2} x^{2}}{2} + \frac{2 a b x^{5}}{5} + \frac{b^{2} x^{8}}{8}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*x*cos(c + d*x)/d + a**2*sin(c + d*x)/d**2 - 2*a*b*x**4*cos(c + d*x)/d + 8*a*b*x**3*sin(c + d*x)/d**2 + 24*a*b*x**2*cos(c + d*x)/d**3 - 48*a*b*x*sin(c + d*x)/d**4 - 48*a*b*cos(c + d*x)/d**5 - b**2*x**7*cos(c + d*x)/d + 7*b**2*x**6*sin(c + d*x)/d**2 + 42*b**2*x**5*cos(c + d*x)/d**3 - 210*b**2*x**4*sin(c + d*x)/d**4 - 840*b**2*x**3*cos(c + d*x)/d**5 + 2520*b**2*x**2*sin(c + d*x)/d**6 + 5040*b**2*x*cos(c + d*x)/d**7 - 5040*b**2*sin(c + d*x)/d**8, Ne(d, 0)), ((a**2*x**2/2 + 2*a*b*x**5/5 + b**2*x**8/8)*sin(c), True))","A",0
88,1,226,0,7.389249," ","integrate((b*x**3+a)**2*sin(d*x+c),x)","\begin{cases} - \frac{a^{2} \cos{\left(c + d x \right)}}{d} - \frac{2 a b x^{3} \cos{\left(c + d x \right)}}{d} + \frac{6 a b x^{2} \sin{\left(c + d x \right)}}{d^{2}} + \frac{12 a b x \cos{\left(c + d x \right)}}{d^{3}} - \frac{12 a b \sin{\left(c + d x \right)}}{d^{4}} - \frac{b^{2} x^{6} \cos{\left(c + d x \right)}}{d} + \frac{6 b^{2} x^{5} \sin{\left(c + d x \right)}}{d^{2}} + \frac{30 b^{2} x^{4} \cos{\left(c + d x \right)}}{d^{3}} - \frac{120 b^{2} x^{3} \sin{\left(c + d x \right)}}{d^{4}} - \frac{360 b^{2} x^{2} \cos{\left(c + d x \right)}}{d^{5}} + \frac{720 b^{2} x \sin{\left(c + d x \right)}}{d^{6}} + \frac{720 b^{2} \cos{\left(c + d x \right)}}{d^{7}} & \text{for}\: d \neq 0 \\\left(a^{2} x + \frac{a b x^{4}}{2} + \frac{b^{2} x^{7}}{7}\right) \sin{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*cos(c + d*x)/d - 2*a*b*x**3*cos(c + d*x)/d + 6*a*b*x**2*sin(c + d*x)/d**2 + 12*a*b*x*cos(c + d*x)/d**3 - 12*a*b*sin(c + d*x)/d**4 - b**2*x**6*cos(c + d*x)/d + 6*b**2*x**5*sin(c + d*x)/d**2 + 30*b**2*x**4*cos(c + d*x)/d**3 - 120*b**2*x**3*sin(c + d*x)/d**4 - 360*b**2*x**2*cos(c + d*x)/d**5 + 720*b**2*x*sin(c + d*x)/d**6 + 720*b**2*cos(c + d*x)/d**7, Ne(d, 0)), ((a**2*x + a*b*x**4/2 + b**2*x**7/7)*sin(c), True))","A",0
89,1,211,0,10.635170," ","integrate((b*x**3+a)**2*sin(d*x+c)/x,x)","a^{2} \sin{\left(c \right)} \operatorname{Ci}{\left(d x \right)} + a^{2} \cos{\left(c \right)} \operatorname{Si}{\left(d x \right)} + 2 a b x^{2} \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - 4 a b \left(\begin{cases} - \frac{x^{2} \cos{\left(c \right)}}{2} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{x \sin{\left(c + d x \right)}}{d} + \frac{\cos{\left(c + d x \right)}}{d^{2}} & \text{for}\: d \neq 0 \\\frac{x^{2} \cos{\left(c \right)}}{2} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right) + b^{2} x^{5} \left(\begin{cases} - \cos{\left(c \right)} & \text{for}\: d = 0 \\- \frac{\cos{\left(c + d x \right)}}{d} & \text{otherwise} \end{cases}\right) - 5 b^{2} \left(\begin{cases} - \frac{x^{5} \cos{\left(c \right)}}{5} & \text{for}\: d = 0 \\- \frac{\begin{cases} \frac{x^{4} \sin{\left(c + d x \right)}}{d} + \frac{4 x^{3} \cos{\left(c + d x \right)}}{d^{2}} - \frac{12 x^{2} \sin{\left(c + d x \right)}}{d^{3}} - \frac{24 x \cos{\left(c + d x \right)}}{d^{4}} + \frac{24 \sin{\left(c + d x \right)}}{d^{5}} & \text{for}\: d \neq 0 \\\frac{x^{5} \cos{\left(c \right)}}{5} & \text{otherwise} \end{cases}}{d} & \text{otherwise} \end{cases}\right)"," ",0,"a**2*sin(c)*Ci(d*x) + a**2*cos(c)*Si(d*x) + 2*a*b*x**2*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - 4*a*b*Piecewise((-x**2*cos(c)/2, Eq(d, 0)), (-Piecewise((x*sin(c + d*x)/d + cos(c + d*x)/d**2, Ne(d, 0)), (x**2*cos(c)/2, True))/d, True)) + b**2*x**5*Piecewise((-cos(c), Eq(d, 0)), (-cos(c + d*x)/d, True)) - 5*b**2*Piecewise((-x**5*cos(c)/5, Eq(d, 0)), (-Piecewise((x**4*sin(c + d*x)/d + 4*x**3*cos(c + d*x)/d**2 - 12*x**2*sin(c + d*x)/d**3 - 24*x*cos(c + d*x)/d**4 + 24*sin(c + d*x)/d**5, Ne(d, 0)), (x**5*cos(c)/5, True))/d, True))","A",0
90,0,0,0,0.000000," ","integrate((b*x**3+a)**2*sin(d*x+c)/x**2,x)","\int \frac{\left(a + b x^{3}\right)^{2} \sin{\left(c + d x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*x**3)**2*sin(c + d*x)/x**2, x)","F",0
91,0,0,0,0.000000," ","integrate((b*x**3+a)**2*sin(d*x+c)/x**3,x)","\int \frac{\left(a + b x^{3}\right)^{2} \sin{\left(c + d x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*x**3)**2*sin(c + d*x)/x**3, x)","F",0
92,0,0,0,0.000000," ","integrate((b*x**3+a)**2*sin(d*x+c)/x**4,x)","\int \frac{\left(a + b x^{3}\right)^{2} \sin{\left(c + d x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*x**3)**2*sin(c + d*x)/x**4, x)","F",0
93,0,0,0,0.000000," ","integrate((b*x**3+a)**2*sin(d*x+c)/x**5,x)","\int \frac{\left(a + b x^{3}\right)^{2} \sin{\left(c + d x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*x**3)**2*sin(c + d*x)/x**5, x)","F",0
94,0,0,0,0.000000," ","integrate(x**4*sin(d*x+c)/(b*x**3+a),x)","\int \frac{x^{4} \sin{\left(c + d x \right)}}{a + b x^{3}}\, dx"," ",0,"Integral(x**4*sin(c + d*x)/(a + b*x**3), x)","F",0
95,0,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**3+a),x)","\int \frac{x^{3} \sin{\left(c + d x \right)}}{a + b x^{3}}\, dx"," ",0,"Integral(x**3*sin(c + d*x)/(a + b*x**3), x)","F",0
96,0,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**3+a),x)","\int \frac{x^{2} \sin{\left(c + d x \right)}}{a + b x^{3}}\, dx"," ",0,"Integral(x**2*sin(c + d*x)/(a + b*x**3), x)","F",0
97,0,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**3+a),x)","\int \frac{x \sin{\left(c + d x \right)}}{a + b x^{3}}\, dx"," ",0,"Integral(x*sin(c + d*x)/(a + b*x**3), x)","F",0
98,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**3+a),x)","\int \frac{\sin{\left(c + d x \right)}}{a + b x^{3}}\, dx"," ",0,"Integral(sin(c + d*x)/(a + b*x**3), x)","F",0
99,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**3+a),x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x^{3}\right)}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x**3)), x)","F",0
100,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,-1,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**3+a)**2,x)","\int \frac{\sin{\left(c + d x \right)}}{x \left(a + b x^{3}\right)^{2}}\, dx"," ",0,"Integral(sin(c + d*x)/(x*(a + b*x**3)**2), x)","F",0
107,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**2/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x**3/(b*x**3+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate(x**3*sin(d*x+c)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,-1,0,0,0.000000," ","integrate(x**2*sin(d*x+c)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x**3+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
