1,1,306,0,0.537648," ","integrate(x^3*(b*x+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c^{3} \cos\left(d x + c\right) - \frac{b c^{4} \cos\left(d x + c\right)}{d} - 3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c^{2} + \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{3}}{d} + 3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a c - \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d} - {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a + \frac{4 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c}{d} - \frac{{\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b}{d}}{d^{4}}"," ",0,"(a*c^3*cos(d*x + c) - b*c^4*cos(d*x + c)/d - 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c^2 + 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^3/d + 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*c - 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^2/d - (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a + 4*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c/d - (((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b/d)/d^4","B",0
2,1,201,0,0.472251," ","integrate(x^2*(b*x+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a c^{2} \cos\left(d x + c\right) - \frac{b c^{3} \cos\left(d x + c\right)}{d} - 2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c + \frac{3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{2}}{d} + {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a - \frac{3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c}{d} + \frac{{\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b}{d}}{d^{3}}"," ",0,"-(a*c^2*cos(d*x + c) - b*c^3*cos(d*x + c)/d - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c + 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^2/d + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a - 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c/d + (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b/d)/d^3","B",0
3,1,117,0,0.382169," ","integrate(x*(b*x+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c \cos\left(d x + c\right) - \frac{b c^{2} \cos\left(d x + c\right)}{d} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a + \frac{2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c}{d} - \frac{{\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b}{d}}{d^{2}}"," ",0,"(a*c*cos(d*x + c) - b*c^2*cos(d*x + c)/d - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a + 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c/d - (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b/d)/d^2","A",0
4,1,53,0,0.434063," ","integrate((b*x+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a \cos\left(d x + c\right) - \frac{b c \cos\left(d x + c\right)}{d} + \frac{{\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b}{d}}{d}"," ",0,"-(a*cos(d*x + c) - b*c*cos(d*x + c)/d + ((d*x + c)*cos(d*x + c) - sin(d*x + c))*b/d)/d","A",0
5,1,522,0,0.643803," ","integrate((b*x+a)*sin(d*x+c)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left({\left(i \, E_{1}\left(i \, d x\right) - i \, E_{1}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left(E_{1}\left(i \, d x\right) + E_{1}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} a + \frac{{\left({\left(i \, E_{1}\left(i \, d x\right) - i \, E_{1}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left(E_{1}\left(i \, d x\right) + E_{1}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} b c}{2 \, d} - \frac{{\left(2 \, {\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} \cos\left(d x + c\right)^{3} + 2 \, {\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} \cos\left(d x + c\right) - {\left(c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} - c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) - {\left(c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \cos\left(d x + c\right)^{2} - {\left(c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} - c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} - 2 \, {\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} \cos\left(d x + c\right) + c {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) - {\left(c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + c {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \sin\left(d x + c\right)^{2}\right)} b}{4 \, {\left({\left({\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d - {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} d\right)} \cos\left(d x + c\right)^{2} + {\left({\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d - {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} d\right)} \sin\left(d x + c\right)^{2}\right)}}"," ",0,"-1/2*((I*exp_integral_e(1, I*d*x) - I*exp_integral_e(1, -I*d*x))*cos(c) + (exp_integral_e(1, I*d*x) + exp_integral_e(1, -I*d*x))*sin(c))*a + 1/2*((I*exp_integral_e(1, I*d*x) - I*exp_integral_e(1, -I*d*x))*cos(c) + (exp_integral_e(1, I*d*x) + exp_integral_e(1, -I*d*x))*sin(c))*b*c/d - 1/4*(2*(d*x + c)*(cos(c)^2 + sin(c)^2)*cos(d*x + c)^3 + 2*(d*x + c)*(cos(c)^2 + sin(c)^2)*cos(d*x + c) - (c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)^3 + c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)*sin(c)^2 - c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*sin(c)^3 + c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c) - (c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)^2 + c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x)))*sin(c))*cos(d*x + c)^2 - (c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)^3 + c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)*sin(c)^2 - c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*sin(c)^3 - 2*(d*x + c)*(cos(c)^2 + sin(c)^2)*cos(d*x + c) + c*(exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c) - (c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)^2 + c*(I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x)))*sin(c))*sin(d*x + c)^2)*b/(((d*x + c)*(cos(c)^2 + sin(c)^2)*d - (c*cos(c)^2 + c*sin(c)^2)*d)*cos(d*x + c)^2 + ((d*x + c)*(cos(c)^2 + sin(c)^2)*d - (c*cos(c)^2 + c*sin(c)^2)*d)*sin(d*x + c)^2)","C",0
6,1,108,0,1.246083," ","integrate((b*x+a)*sin(d*x+c)/x^2,x, algorithm=""maxima"")","\frac{{\left({\left(a {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) - a {\left(i \, \Gamma\left(-1, i \, d x\right) - i \, \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2} - {\left(b {\left(-i \, \Gamma\left(-1, i \, d x\right) + i \, \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) - b {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d\right)} x - 2 \, b \cos\left(d x + c\right)}{2 \, d x}"," ",0,"1/2*(((a*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*cos(c) - a*(I*gamma(-1, I*d*x) - I*gamma(-1, -I*d*x))*sin(c))*d^2 - (b*(-I*gamma(-1, I*d*x) + I*gamma(-1, -I*d*x))*cos(c) - b*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*sin(c))*d)*x - 2*b*cos(d*x + c))/(d*x)","C",0
7,1,111,0,1.603531," ","integrate((b*x+a)*sin(d*x+c)/x^3,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(-i \, \Gamma\left(-2, i \, d x\right) + i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) - a {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3} + {\left(2 \, b {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + b {\left(-2 i \, \Gamma\left(-2, i \, d x\right) + 2 i \, \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2}\right)} x^{2} + 2 \, b \cos\left(d x + c\right)}{2 \, d x^{2}}"," ",0,"-1/2*(((a*(-I*gamma(-2, I*d*x) + I*gamma(-2, -I*d*x))*cos(c) - a*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^3 + (2*b*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*cos(c) + b*(-2*I*gamma(-2, I*d*x) + 2*I*gamma(-2, -I*d*x))*sin(c))*d^2)*x^2 + 2*b*cos(d*x + c))/(d*x^2)","C",0
8,1,110,0,2.140662," ","integrate((b*x+a)*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(-i \, \Gamma\left(-3, i \, d x\right) + i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} + {\left(b {\left(3 i \, \Gamma\left(-3, i \, d x\right) - 3 i \, \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + 3 \, b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 2 \, b \cos\left(d x + c\right)}{2 \, d x^{3}}"," ",0,"-1/2*(((a*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) + a*(-I*gamma(-3, I*d*x) + I*gamma(-3, -I*d*x))*sin(c))*d^4 + (b*(3*I*gamma(-3, I*d*x) - 3*I*gamma(-3, -I*d*x))*cos(c) + 3*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 2*b*cos(d*x + c))/(d*x^3)","C",0
9,1,112,0,1.919639," ","integrate((b*x+a)*sin(d*x+c)/x^5,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(i \, \Gamma\left(-4, i \, d x\right) - i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{5} - {\left(4 \, b {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - b {\left(4 i \, \Gamma\left(-4, i \, d x\right) - 4 i \, \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4}\right)} x^{4} + 2 \, b \cos\left(d x + c\right)}{2 \, d x^{4}}"," ",0,"-1/2*(((a*(I*gamma(-4, I*d*x) - I*gamma(-4, -I*d*x))*cos(c) + a*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^5 - (4*b*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*cos(c) - b*(4*I*gamma(-4, I*d*x) - 4*I*gamma(-4, -I*d*x))*sin(c))*d^4)*x^4 + 2*b*cos(d*x + c))/(d*x^4)","C",0
10,1,406,0,0.929485," ","integrate(x^2*(b*x+a)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a^{2} c^{2} \cos\left(d x + c\right) + \frac{b^{2} c^{4} \cos\left(d x + c\right)}{d^{2}} - \frac{2 \, a b c^{3} \cos\left(d x + c\right)}{d} - 2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a^{2} c - \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{2}} + \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c^{2}}{d} + {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a^{2} + \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{2}} - \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b c}{d} - \frac{4 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{2}} + \frac{2 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a b}{d} + \frac{{\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{2}}}{d^{3}}"," ",0,"-(a^2*c^2*cos(d*x + c) + b^2*c^4*cos(d*x + c)/d^2 - 2*a*b*c^3*cos(d*x + c)/d - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a^2*c - 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^3/d^2 + 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c^2/d + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a^2 + 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^2/d^2 - 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b*c/d - 4*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c/d^2 + 2*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a*b/d + (((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2/d^2)/d^3","B",0
11,1,259,0,0.753934," ","integrate(x*(b*x+a)^2*sin(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} c \cos\left(d x + c\right) + \frac{b^{2} c^{3} \cos\left(d x + c\right)}{d^{2}} - \frac{2 \, a b c^{2} \cos\left(d x + c\right)}{d} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a^{2} - \frac{3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{2}} + \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c}{d} + \frac{3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{2}} - \frac{2 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b}{d} - \frac{{\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{2}}}{d^{2}}"," ",0,"(a^2*c*cos(d*x + c) + b^2*c^3*cos(d*x + c)/d^2 - 2*a*b*c^2*cos(d*x + c)/d - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a^2 - 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^2/d^2 + 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c/d + 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c/d^2 - 2*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b/d - (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2/d^2)/d^2","A",0
12,1,141,0,0.950296," ","integrate((b*x+a)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a^{2} \cos\left(d x + c\right) + \frac{b^{2} c^{2} \cos\left(d x + c\right)}{d^{2}} - \frac{2 \, a b c \cos\left(d x + c\right)}{d} - \frac{2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c}{d^{2}} + \frac{2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b}{d} + \frac{{\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{2}}}{d}"," ",0,"-(a^2*cos(d*x + c) + b^2*c^2*cos(d*x + c)/d^2 - 2*a*b*c*cos(d*x + c)/d - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c/d^2 + 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b/d + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2/d^2)/d","B",0
13,1,80,0,1.743112," ","integrate((b*x+a)^2*sin(d*x+c)/x,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(-i \, {\rm Ei}\left(i \, d x\right) + i \, {\rm Ei}\left(-i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left({\rm Ei}\left(i \, d x\right) + {\rm Ei}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2} + 2 \, b^{2} \sin\left(d x + c\right) - 2 \, {\left(b^{2} d x + 2 \, a b d\right)} \cos\left(d x + c\right)}{2 \, d^{2}}"," ",0,"1/2*((a^2*(-I*Ei(I*d*x) + I*Ei(-I*d*x))*cos(c) + a^2*(Ei(I*d*x) + Ei(-I*d*x))*sin(c))*d^2 + 2*b^2*sin(d*x + c) - 2*(b^2*d*x + 2*a*b*d)*cos(d*x + c))/d^2","C",0
14,1,123,0,2.533804," ","integrate((b*x+a)^2*sin(d*x+c)/x^2,x, algorithm=""maxima"")","\frac{{\left({\left(a^{2} {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) - a^{2} {\left(i \, \Gamma\left(-1, i \, d x\right) - i \, \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2} - {\left(a b {\left(-2 i \, \Gamma\left(-1, i \, d x\right) + 2 i \, \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) - 2 \, a b {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d\right)} x - 2 \, {\left(b^{2} x + 2 \, a b\right)} \cos\left(d x + c\right)}{2 \, d x}"," ",0,"1/2*(((a^2*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*cos(c) - a^2*(I*gamma(-1, I*d*x) - I*gamma(-1, -I*d*x))*sin(c))*d^2 - (a*b*(-2*I*gamma(-1, I*d*x) + 2*I*gamma(-1, -I*d*x))*cos(c) - 2*a*b*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*sin(c))*d)*x - 2*(b^2*x + 2*a*b)*cos(d*x + c))/(d*x)","C",0
15,1,187,0,4.286715," ","integrate((b*x+a)^2*sin(d*x+c)/x^3,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(-i \, \Gamma\left(-2, i \, d x\right) + i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) - a^{2} {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} + {\left(4 \, a b {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + a b {\left(-4 i \, \Gamma\left(-2, i \, d x\right) + 4 i \, \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3} + {\left(b^{2} {\left(2 i \, \Gamma\left(-2, i \, d x\right) - 2 i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + 2 \, b^{2} {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2}\right)} x^{2} + 2 \, b^{2} \sin\left(d x + c\right) + 2 \, {\left(b^{2} d x + 2 \, a b d\right)} \cos\left(d x + c\right)}{2 \, d^{2} x^{2}}"," ",0,"-1/2*(((a^2*(-I*gamma(-2, I*d*x) + I*gamma(-2, -I*d*x))*cos(c) - a^2*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^4 + (4*a*b*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*cos(c) + a*b*(-4*I*gamma(-2, I*d*x) + 4*I*gamma(-2, -I*d*x))*sin(c))*d^3 + (b^2*(2*I*gamma(-2, I*d*x) - 2*I*gamma(-2, -I*d*x))*cos(c) + 2*b^2*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^2)*x^2 + 2*b^2*sin(d*x + c) + 2*(b^2*d*x + 2*a*b*d)*cos(d*x + c))/(d^2*x^2)","C",0
16,1,188,0,5.665697," ","integrate((b*x+a)^2*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(-i \, \Gamma\left(-3, i \, d x\right) + i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{5} + {\left(a b {\left(6 i \, \Gamma\left(-3, i \, d x\right) - 6 i \, \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + 6 \, a b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} - {\left(6 \, b^{2} {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) - b^{2} {\left(6 i \, \Gamma\left(-3, i \, d x\right) - 6 i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 4 \, b^{2} \sin\left(d x + c\right) + 2 \, {\left(b^{2} d x + 2 \, a b d\right)} \cos\left(d x + c\right)}{2 \, d^{2} x^{3}}"," ",0,"-1/2*(((a^2*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) + a^2*(-I*gamma(-3, I*d*x) + I*gamma(-3, -I*d*x))*sin(c))*d^5 + (a*b*(6*I*gamma(-3, I*d*x) - 6*I*gamma(-3, -I*d*x))*cos(c) + 6*a*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*sin(c))*d^4 - (6*b^2*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) - b^2*(6*I*gamma(-3, I*d*x) - 6*I*gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 4*b^2*sin(d*x + c) + 2*(b^2*d*x + 2*a*b*d)*cos(d*x + c))/(d^2*x^3)","C",0
17,1,188,0,5.997701," ","integrate((b*x+a)^2*sin(d*x+c)/x^5,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(i \, \Gamma\left(-4, i \, d x\right) - i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} - {\left(8 \, a b {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - a b {\left(8 i \, \Gamma\left(-4, i \, d x\right) - 8 i \, \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{5} + {\left(b^{2} {\left(-12 i \, \Gamma\left(-4, i \, d x\right) + 12 i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - 12 \, b^{2} {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4}\right)} x^{4} + 6 \, b^{2} \sin\left(d x + c\right) + 2 \, {\left(b^{2} d x + 2 \, a b d\right)} \cos\left(d x + c\right)}{2 \, d^{2} x^{4}}"," ",0,"-1/2*(((a^2*(I*gamma(-4, I*d*x) - I*gamma(-4, -I*d*x))*cos(c) + a^2*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^6 - (8*a*b*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*cos(c) - a*b*(8*I*gamma(-4, I*d*x) - 8*I*gamma(-4, -I*d*x))*sin(c))*d^5 + (b^2*(-12*I*gamma(-4, I*d*x) + 12*I*gamma(-4, -I*d*x))*cos(c) - 12*b^2*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^4)*x^4 + 6*b^2*sin(d*x + c) + 2*(b^2*d*x + 2*a*b*d)*cos(d*x + c))/(d^2*x^4)","C",0
18,-1,0,0,0.000000," ","integrate(x^4*sin(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,1,776,0,0.527838," ","integrate(x*sin(d*x+c)/(b*x+a),x, algorithm=""maxima"")","-\frac{\frac{{\left(d {\left(-i \, E_{1}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{1}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \cos\left(-\frac{b c - a d}{b}\right) + d {\left(E_{1}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{1}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \sin\left(-\frac{b c - a d}{b}\right)\right)} c}{b} + \frac{{\left(d x + c\right)} b d \cos\left(d x + c\right)^{3} + {\left(d x + c\right)} b d \cos\left(d x + c\right) - {\left({\left(b c d {\left(E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} - a d^{2} {\left(E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)}\right)} \cos\left(-\frac{b c - a d}{b}\right) - {\left(a d^{2} {\left(i \, E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) - i \, E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} + b c d {\left(-i \, E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)}\right)} \sin\left(-\frac{b c - a d}{b}\right)\right)} \cos\left(d x + c\right)^{2} + {\left({\left(d x + c\right)} b d \cos\left(d x + c\right) - {\left(b c d {\left(E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} - a d^{2} {\left(E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)}\right)} \cos\left(-\frac{b c - a d}{b}\right) + {\left(a d^{2} {\left(i \, E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) - i \, E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} + b c d {\left(-i \, E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)}\right)} \sin\left(-\frac{b c - a d}{b}\right)\right)} \sin\left(d x + c\right)^{2}}{{\left({\left(d x + c\right)} b^{2} - b^{2} c + a b d\right)} \cos\left(d x + c\right)^{2} + {\left({\left(d x + c\right)} b^{2} - b^{2} c + a b d\right)} \sin\left(d x + c\right)^{2}}}{2 \, d^{2}}"," ",0,"-1/2*((d*(-I*exp_integral_e(1, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(1, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*cos(-(b*c - a*d)/b) + d*(exp_integral_e(1, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(1, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*sin(-(b*c - a*d)/b))*c/b + ((d*x + c)*b*d*cos(d*x + c)^3 + (d*x + c)*b*d*cos(d*x + c) - ((b*c*d*(exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)) - a*d^2*(exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)))*cos(-(b*c - a*d)/b) - (a*d^2*(I*exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) - I*exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)) + b*c*d*(-I*exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)))*sin(-(b*c - a*d)/b))*cos(d*x + c)^2 + ((d*x + c)*b*d*cos(d*x + c) - (b*c*d*(exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)) - a*d^2*(exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)))*cos(-(b*c - a*d)/b) + (a*d^2*(I*exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) - I*exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)) + b*c*d*(-I*exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b)))*sin(-(b*c - a*d)/b))*sin(d*x + c)^2)/(((d*x + c)*b^2 - b^2*c + a*b*d)*cos(d*x + c)^2 + ((d*x + c)*b^2 - b^2*c + a*b*d)*sin(d*x + c)^2))/d^2","C",0
22,1,141,0,0.721098," ","integrate(sin(d*x+c)/(b*x+a),x, algorithm=""maxima"")","\frac{d {\left(-i \, E_{1}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{1}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \cos\left(-\frac{b c - a d}{b}\right) + d {\left(E_{1}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{1}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \sin\left(-\frac{b c - a d}{b}\right)}{2 \, b d}"," ",0,"1/2*(d*(-I*exp_integral_e(1, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(1, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*cos(-(b*c - a*d)/b) + d*(exp_integral_e(1, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(1, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*sin(-(b*c - a*d)/b))/(b*d)","C",0
23,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)*x), x)","F",0
24,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)*x^2), x)","F",0
25,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)*x^3), x)","F",0
26,-1,0,0,0.000000," ","integrate(x^4*sin(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,1,164,0,1.075659," ","integrate(sin(d*x+c)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{d^{2} {\left(-i \, E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \cos\left(-\frac{b c - a d}{b}\right) + d^{2} {\left(E_{2}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{2}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \sin\left(-\frac{b c - a d}{b}\right)}{2 \, {\left({\left(d x + c\right)} b^{2} - b^{2} c + a b d\right)} d}"," ",0,"1/2*(d^2*(-I*exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*cos(-(b*c - a*d)/b) + d^2*(exp_integral_e(2, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(2, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*sin(-(b*c - a*d)/b))/(((d*x + c)*b^2 - b^2*c + a*b*d)*d)","C",0
31,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)}^{2} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)^2*x), x)","F",0
32,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)^2*x^2), x)","F",0
33,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,1,199,0,0.461485," ","integrate(sin(d*x+c)/(b*x+a)^3,x, algorithm=""maxima"")","\frac{d^{3} {\left(-i \, E_{3}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + i \, E_{3}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \cos\left(-\frac{b c - a d}{b}\right) + d^{3} {\left(E_{3}\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right) + E_{3}\left(-\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{b}\right)\right)} \sin\left(-\frac{b c - a d}{b}\right)}{2 \, {\left({\left(d x + c\right)}^{2} b^{3} + b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2} - 2 \, {\left(b^{3} c - a b^{2} d\right)} {\left(d x + c\right)}\right)} d}"," ",0,"1/2*(d^3*(-I*exp_integral_e(3, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + I*exp_integral_e(3, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*cos(-(b*c - a*d)/b) + d^3*(exp_integral_e(3, (I*(d*x + c)*b - I*b*c + I*a*d)/b) + exp_integral_e(3, -(I*(d*x + c)*b - I*b*c + I*a*d)/b))*sin(-(b*c - a*d)/b))/(((d*x + c)^2*b^3 + b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2 - 2*(b^3*c - a*b^2*d)*(d*x + c))*d)","C",0
37,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)}^{3} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)^3*x), x)","F",0
38,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)^3*x^2), x)","F",0
39,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x + a\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x + a)^3*x^3), x)","F",0
40,1,372,0,0.343620," ","integrate(x^3*(b*x^2+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c^{3} \cos\left(d x + c\right) + \frac{b c^{5} \cos\left(d x + c\right)}{d^{2}} - 3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c^{2} - \frac{5 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{4}}{d^{2}} + 3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a c + \frac{10 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{3}}{d^{2}} - {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a - \frac{10 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d^{2}} + \frac{5 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b c}{d^{2}} - \frac{{\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b}{d^{2}}}{d^{4}}"," ",0,"(a*c^3*cos(d*x + c) + b*c^5*cos(d*x + c)/d^2 - 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c^2 - 5*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^4/d^2 + 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*c + 10*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^3/d^2 - (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a - 10*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c^2/d^2 + 5*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b*c/d^2 - (((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b/d^2)/d^4","B",0
41,1,258,0,0.325322," ","integrate(x^2*(b*x^2+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a c^{2} \cos\left(d x + c\right) + \frac{b c^{4} \cos\left(d x + c\right)}{d^{2}} - 2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c - \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{3}}{d^{2}} + {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a + \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d^{2}} - \frac{4 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c}{d^{2}} + \frac{{\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b}{d^{2}}}{d^{3}}"," ",0,"-(a*c^2*cos(d*x + c) + b*c^4*cos(d*x + c)/d^2 - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c - 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^3/d^2 + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a + 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^2/d^2 - 4*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c/d^2 + (((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b/d^2)/d^3","B",0
42,1,165,0,0.330884," ","integrate(x*(b*x^2+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c \cos\left(d x + c\right) + \frac{b c^{3} \cos\left(d x + c\right)}{d^{2}} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a - \frac{3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{2}}{d^{2}} + \frac{3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c}{d^{2}} - \frac{{\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b}{d^{2}}}{d^{2}}"," ",0,"(a*c*cos(d*x + c) + b*c^3*cos(d*x + c)/d^2 - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a - 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^2/d^2 + 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c/d^2 - (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b/d^2)/d^2","B",0
43,1,91,0,0.314629," ","integrate((b*x^2+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a \cos\left(d x + c\right) + \frac{b c^{2} \cos\left(d x + c\right)}{d^{2}} - \frac{2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c}{d^{2}} + \frac{{\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b}{d^{2}}}{d}"," ",0,"-(a*cos(d*x + c) + b*c^2*cos(d*x + c)/d^2 - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c/d^2 + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b/d^2)/d","A",0
44,1,66,0,0.635510," ","integrate((b*x^2+a)*sin(d*x+c)/x,x, algorithm=""maxima"")","-\frac{2 \, b d x \cos\left(d x + c\right) - {\left(a {\left(-i \, {\rm Ei}\left(i \, d x\right) + i \, {\rm Ei}\left(-i \, d x\right)\right)} \cos\left(c\right) + a {\left({\rm Ei}\left(i \, d x\right) + {\rm Ei}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2} - 2 \, b \sin\left(d x + c\right)}{2 \, d^{2}}"," ",0,"-1/2*(2*b*d*x*cos(d*x + c) - (a*(-I*Ei(I*d*x) + I*Ei(-I*d*x))*cos(c) + a*(Ei(I*d*x) + Ei(-I*d*x))*sin(c))*d^2 - 2*b*sin(d*x + c))/d^2","C",0
45,1,937,0,0.595201," ","integrate((b*x^2+a)*sin(d*x+c)/x^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{{\left({\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left({\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} b c^{2}}{{\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{2} - {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} d^{2}} - \frac{{\left({\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + {\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + {\left(i \, E_{2}\left(i \, d x\right) - i \, E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left({\left(E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + E_{2}\left(i \, d x\right) + E_{2}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} a}{c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2} - {\left(d x + c\right)} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)}} + \frac{2 \, {\left({\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} - 2 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right)^{3} + {\left(b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left(b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \cos\left(d x + c\right)^{2} + {\left(b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + b c^{2} {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} - 2 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right) + {\left(b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + b c^{2} {\left(-i \, E_{3}\left(i \, d x\right) + i \, E_{3}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \sin\left(d x + c\right)^{2} + {\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} - 2 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right)\right)}}{{\left({\left(d x + c\right)}^{2} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{2} - 2 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)} d^{2} + {\left(c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2}\right)} d^{2}\right)} \cos\left(d x + c\right)^{2} + {\left({\left(d x + c\right)}^{2} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{2} - 2 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)} d^{2} + {\left(c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2}\right)} d^{2}\right)} \sin\left(d x + c\right)^{2}}\right)} d"," ",0,"-1/4*(((I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)^3 + (I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)*sin(c)^2 + (exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*sin(c)^3 + (I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c) + ((exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)^2 + exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*sin(c))*b*c^2/((d*x + c)*(cos(c)^2 + sin(c)^2)*d^2 - (c*cos(c)^2 + c*sin(c)^2)*d^2) - ((I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)^3 + (I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c)*sin(c)^2 + (exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*sin(c)^3 + (I*exp_integral_e(2, I*d*x) - I*exp_integral_e(2, -I*d*x))*cos(c) + ((exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*cos(c)^2 + exp_integral_e(2, I*d*x) + exp_integral_e(2, -I*d*x))*sin(c))*a/(c*cos(c)^2 + c*sin(c)^2 - (d*x + c)*(cos(c)^2 + sin(c)^2)) + 2*(((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^2 - 2*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c))*cos(d*x + c)^3 + (b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)^3 + b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)*sin(c)^2 + b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x))*sin(c)^3 + b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c) + (b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x))*cos(c)^2 + b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x)))*sin(c))*cos(d*x + c)^2 + (b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)^3 + b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)*sin(c)^2 + b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x))*sin(c)^3 + b*c^2*(exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c) + ((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^2 - 2*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c))*cos(d*x + c) + (b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x))*cos(c)^2 + b*c^2*(-I*exp_integral_e(3, I*d*x) + I*exp_integral_e(3, -I*d*x)))*sin(c))*sin(d*x + c)^2 + ((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^2 - 2*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c))*cos(d*x + c))/(((d*x + c)^2*(cos(c)^2 + sin(c)^2)*d^2 - 2*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)*d^2 + (c^2*cos(c)^2 + c^2*sin(c)^2)*d^2)*cos(d*x + c)^2 + ((d*x + c)^2*(cos(c)^2 + sin(c)^2)*d^2 - 2*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)*d^2 + (c^2*cos(c)^2 + c^2*sin(c)^2)*d^2)*sin(d*x + c)^2))*d","C",0
46,1,122,0,1.032904," ","integrate((b*x^2+a)*sin(d*x+c)/x^3,x, algorithm=""maxima"")","-\frac{2 \, b d x \cos\left(d x + c\right) + {\left({\left(a {\left(-i \, \Gamma\left(-2, i \, d x\right) + i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) - a {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} + {\left(b {\left(2 i \, \Gamma\left(-2, i \, d x\right) - 2 i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + 2 \, b {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2}\right)} x^{2} + 2 \, b \sin\left(d x + c\right)}{2 \, d^{2} x^{2}}"," ",0,"-1/2*(2*b*d*x*cos(d*x + c) + ((a*(-I*gamma(-2, I*d*x) + I*gamma(-2, -I*d*x))*cos(c) - a*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^4 + (b*(2*I*gamma(-2, I*d*x) - 2*I*gamma(-2, -I*d*x))*cos(c) + 2*b*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^2)*x^2 + 2*b*sin(d*x + c))/(d^2*x^2)","C",0
47,1,123,0,1.127621," ","integrate((b*x^2+a)*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(-i \, \Gamma\left(-3, i \, d x\right) + i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{5} - {\left(6 \, b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) - b {\left(6 i \, \Gamma\left(-3, i \, d x\right) - 6 i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 2 \, b d x \cos\left(d x + c\right) + 4 \, b \sin\left(d x + c\right)}{2 \, d^{2} x^{3}}"," ",0,"-1/2*(((a*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) + a*(-I*gamma(-3, I*d*x) + I*gamma(-3, -I*d*x))*sin(c))*d^5 - (6*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) - b*(6*I*gamma(-3, I*d*x) - 6*I*gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 2*b*d*x*cos(d*x + c) + 4*b*sin(d*x + c))/(d^2*x^3)","C",0
48,1,121,0,1.234878," ","integrate((b*x^2+a)*sin(d*x+c)/x^5,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(i \, \Gamma\left(-4, i \, d x\right) - i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} + {\left(b {\left(-12 i \, \Gamma\left(-4, i \, d x\right) + 12 i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - 12 \, b {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4}\right)} x^{4} + 2 \, b d x \cos\left(d x + c\right) + 6 \, b \sin\left(d x + c\right)}{2 \, d^{2} x^{4}}"," ",0,"-1/2*(((a*(I*gamma(-4, I*d*x) - I*gamma(-4, -I*d*x))*cos(c) + a*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^6 + (b*(-12*I*gamma(-4, I*d*x) + 12*I*gamma(-4, -I*d*x))*cos(c) - 12*b*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^4)*x^4 + 2*b*d*x*cos(d*x + c) + 6*b*sin(d*x + c))/(d^2*x^4)","C",0
49,1,612,0,0.384269," ","integrate(x^2*(b*x^2+a)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a^{2} c^{2} \cos\left(d x + c\right) + \frac{b^{2} c^{6} \cos\left(d x + c\right)}{d^{4}} + \frac{2 \, a b c^{4} \cos\left(d x + c\right)}{d^{2}} - 2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a^{2} c - \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{5}}{d^{4}} - \frac{8 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c^{3}}{d^{2}} + {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a^{2} + \frac{15 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{4}}{d^{4}} + \frac{12 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b c^{2}}{d^{2}} - \frac{20 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{4}} - \frac{8 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a b c}{d^{2}} + \frac{15 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{4}} + \frac{2 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} a b}{d^{2}} - \frac{6 \, {\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{4}} + \frac{{\left({\left({\left(d x + c\right)}^{6} - 30 \, {\left(d x + c\right)}^{4} + 360 \, {\left(d x + c\right)}^{2} - 720\right)} \cos\left(d x + c\right) - 6 \, {\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{4}}}{d^{3}}"," ",0,"-(a^2*c^2*cos(d*x + c) + b^2*c^6*cos(d*x + c)/d^4 + 2*a*b*c^4*cos(d*x + c)/d^2 - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a^2*c - 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^5/d^4 - 8*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c^3/d^2 + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a^2 + 15*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^4/d^4 + 12*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b*c^2/d^2 - 20*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c^3/d^4 - 8*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a*b*c/d^2 + 15*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2*c^2/d^4 + 2*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*a*b/d^2 - 6*(((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b^2*c/d^4 + (((d*x + c)^6 - 30*(d*x + c)^4 + 360*(d*x + c)^2 - 720)*cos(d*x + c) - 6*((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*sin(d*x + c))*b^2/d^4)/d^3","B",0
50,1,438,0,0.345008," ","integrate(x*(b*x^2+a)^2*sin(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} c \cos\left(d x + c\right) + \frac{b^{2} c^{5} \cos\left(d x + c\right)}{d^{4}} + \frac{2 \, a b c^{3} \cos\left(d x + c\right)}{d^{2}} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a^{2} - \frac{5 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{4}}{d^{4}} - \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c^{2}}{d^{2}} + \frac{10 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{4}} + \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b c}{d^{2}} - \frac{10 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{4}} - \frac{2 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a b}{d^{2}} + \frac{5 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{4}} - \frac{{\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{4}}}{d^{2}}"," ",0,"(a^2*c*cos(d*x + c) + b^2*c^5*cos(d*x + c)/d^4 + 2*a*b*c^3*cos(d*x + c)/d^2 - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a^2 - 5*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^4/d^4 - 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c^2/d^2 + 10*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^3/d^4 + 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b*c/d^2 - 10*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c^2/d^4 - 2*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a*b/d^2 + 5*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2*c/d^4 - (((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b^2/d^4)/d^2","B",0
51,1,292,0,0.336281," ","integrate((b*x^2+a)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a^{2} \cos\left(d x + c\right) + \frac{b^{2} c^{4} \cos\left(d x + c\right)}{d^{4}} + \frac{2 \, a b c^{2} \cos\left(d x + c\right)}{d^{2}} - \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{4}} - \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c}{d^{2}} + \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{4}} + \frac{2 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b}{d^{2}} - \frac{4 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{4}} + \frac{{\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{4}}}{d}"," ",0,"-(a^2*cos(d*x + c) + b^2*c^4*cos(d*x + c)/d^4 + 2*a*b*c^2*cos(d*x + c)/d^2 - 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^3/d^4 - 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c/d^2 + 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^2/d^4 + 2*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b/d^2 - 4*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c/d^4 + (((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2/d^4)/d","B",0
52,1,116,0,2.091861," ","integrate((b*x^2+a)^2*sin(d*x+c)/x,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(-i \, {\rm Ei}\left(i \, d x\right) + i \, {\rm Ei}\left(-i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left({\rm Ei}\left(i \, d x\right) + {\rm Ei}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} - 2 \, {\left(b^{2} d^{3} x^{3} + 2 \, {\left(a b d^{3} - 3 \, b^{2} d\right)} x\right)} \cos\left(d x + c\right) + 2 \, {\left(3 \, b^{2} d^{2} x^{2} + 2 \, a b d^{2} - 6 \, b^{2}\right)} \sin\left(d x + c\right)}{2 \, d^{4}}"," ",0,"1/2*((a^2*(-I*Ei(I*d*x) + I*Ei(-I*d*x))*cos(c) + a^2*(Ei(I*d*x) + Ei(-I*d*x))*sin(c))*d^4 - 2*(b^2*d^3*x^3 + 2*(a*b*d^3 - 3*b^2*d)*x)*cos(d*x + c) + 2*(3*b^2*d^2*x^2 + 2*a*b*d^2 - 6*b^2)*sin(d*x + c))/d^4","C",0
53,1,97,0,1.682825," ","integrate((b*x^2+a)^2*sin(d*x+c)/x^2,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(-i \, \Gamma\left(-1, i \, d x\right) + i \, \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} + 4 \, b^{2} d x \sin\left(d x + c\right) - 2 \, {\left(b^{2} d^{2} x^{2} + 2 \, a b d^{2} - 2 \, b^{2}\right)} \cos\left(d x + c\right)}{2 \, d^{3}}"," ",0,"1/2*((a^2*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*cos(c) + a^2*(-I*gamma(-1, I*d*x) + I*gamma(-1, -I*d*x))*sin(c))*d^4 + 4*b^2*d*x*sin(d*x + c) - 2*(b^2*d^2*x^2 + 2*a*b*d^2 - 2*b^2)*cos(d*x + c))/d^3","C",0
54,1,150,0,2.810495," ","integrate((b*x^2+a)^2*sin(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{{\left({\left(a^{2} {\left(i \, \Gamma\left(-2, i \, d x\right) - i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4} + {\left(a b {\left(-4 i \, \Gamma\left(-2, i \, d x\right) + 4 i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) - 4 \, a b {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{2}\right)} x^{2} - 2 \, {\left(b^{2} d x^{3} + 2 \, a b d x\right)} \cos\left(d x + c\right) + 2 \, {\left(b^{2} x^{2} - 2 \, a b\right)} \sin\left(d x + c\right)}{2 \, d^{2} x^{2}}"," ",0,"1/2*(((a^2*(I*gamma(-2, I*d*x) - I*gamma(-2, -I*d*x))*cos(c) + a^2*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^4 + (a*b*(-4*I*gamma(-2, I*d*x) + 4*I*gamma(-2, -I*d*x))*cos(c) - 4*a*b*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^2)*x^2 - 2*(b^2*d*x^3 + 2*a*b*d*x)*cos(d*x + c) + 2*(b^2*x^2 - 2*a*b)*sin(d*x + c))/(d^2*x^2)","C",0
55,1,142,0,2.278327," ","integrate((b*x^2+a)^2*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(-i \, \Gamma\left(-3, i \, d x\right) + i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{5} - {\left(12 \, a b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) - a b {\left(12 i \, \Gamma\left(-3, i \, d x\right) - 12 i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 8 \, a b \sin\left(d x + c\right) + 2 \, {\left(b^{2} d x^{3} + 2 \, a b d x\right)} \cos\left(d x + c\right)}{2 \, d^{2} x^{3}}"," ",0,"-1/2*(((a^2*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) + a^2*(-I*gamma(-3, I*d*x) + I*gamma(-3, -I*d*x))*sin(c))*d^5 - (12*a*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) - a*b*(12*I*gamma(-3, I*d*x) - 12*I*gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 8*a*b*sin(d*x + c) + 2*(b^2*d*x^3 + 2*a*b*d*x)*cos(d*x + c))/(d^2*x^3)","C",0
56,1,221,0,10.622071," ","integrate((b*x^2+a)^2*sin(d*x+c)/x^5,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(i \, \Gamma\left(-4, i \, d x\right) - i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{8} + {\left(a b {\left(-24 i \, \Gamma\left(-4, i \, d x\right) + 24 i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - 24 \, a b {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} + {\left(b^{2} {\left(24 i \, \Gamma\left(-4, i \, d x\right) - 24 i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) + 24 \, b^{2} {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4}\right)} x^{4} + 2 \, {\left(b^{2} d^{3} x^{3} + 2 \, {\left(a b d^{3} - b^{2} d\right)} x\right)} \cos\left(d x + c\right) + 2 \, {\left(b^{2} d^{2} x^{2} + 6 \, a b d^{2} - 6 \, b^{2}\right)} \sin\left(d x + c\right)}{2 \, d^{4} x^{4}}"," ",0,"-1/2*(((a^2*(I*gamma(-4, I*d*x) - I*gamma(-4, -I*d*x))*cos(c) + a^2*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^8 + (a*b*(-24*I*gamma(-4, I*d*x) + 24*I*gamma(-4, -I*d*x))*cos(c) - 24*a*b*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^6 + (b^2*(24*I*gamma(-4, I*d*x) - 24*I*gamma(-4, -I*d*x))*cos(c) + 24*b^2*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^4)*x^4 + 2*(b^2*d^3*x^3 + 2*(a*b*d^3 - b^2*d)*x)*cos(d*x + c) + 2*(b^2*d^2*x^2 + 6*a*b*d^2 - 6*b^2)*sin(d*x + c))/(d^4*x^4)","C",0
57,-1,0,0,0.000000," ","integrate(x^4*sin(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^2 + a), x)","F",0
62,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)*x), x)","F",0
63,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)*x^2), x)","F",0
64,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)*x^3), x)","F",0
65,-1,0,0,0.000000," ","integrate(x^4*sin(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^2 + a)^2, x)","F",0
70,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)^2*x), x)","F",0
71,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)^2*x^2), x)","F",0
72,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^2+a)^3,x, algorithm=""maxima"")","\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, algorithm=""maxima"")","\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, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^2 + a)^3, x)","F",0
76,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)^3*x), x)","F",0
77,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)^3*x^2), x)","F",0
78,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x^2+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{2} + a\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^2 + a)^3*x^3), x)","F",0
79,1,449,0,0.991289," ","integrate(x^3*(b*x^3+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c^{3} \cos\left(d x + c\right) - \frac{b c^{6} \cos\left(d x + c\right)}{d^{3}} - 3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c^{2} + \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{5}}{d^{3}} + 3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a c - \frac{15 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{4}}{d^{3}} - {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a + \frac{20 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c^{3}}{d^{3}} - \frac{15 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d^{3}} + \frac{6 \, {\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b c}{d^{3}} - \frac{{\left({\left({\left(d x + c\right)}^{6} - 30 \, {\left(d x + c\right)}^{4} + 360 \, {\left(d x + c\right)}^{2} - 720\right)} \cos\left(d x + c\right) - 6 \, {\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \sin\left(d x + c\right)\right)} b}{d^{3}}}{d^{4}}"," ",0,"(a*c^3*cos(d*x + c) - b*c^6*cos(d*x + c)/d^3 - 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c^2 + 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^5/d^3 + 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*c - 15*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^4/d^3 - (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a + 20*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c^3/d^3 - 15*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b*c^2/d^3 + 6*(((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b*c/d^3 - (((d*x + c)^6 - 30*(d*x + c)^4 + 360*(d*x + c)^2 - 720)*cos(d*x + c) - 6*((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*sin(d*x + c))*b/d^3)/d^4","B",0
80,1,326,0,0.691292," ","integrate(x^2*(b*x^3+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a c^{2} \cos\left(d x + c\right) - \frac{b c^{5} \cos\left(d x + c\right)}{d^{3}} - 2 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a c + \frac{5 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{4}}{d^{3}} + {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a - \frac{10 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{3}}{d^{3}} + \frac{10 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d^{3}} - \frac{5 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b c}{d^{3}} + \frac{{\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b}{d^{3}}}{d^{3}}"," ",0,"-(a*c^2*cos(d*x + c) - b*c^5*cos(d*x + c)/d^3 - 2*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*c + 5*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^4/d^3 + (((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a - 10*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^3/d^3 + 10*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c^2/d^3 - 5*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b*c/d^3 + (((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b/d^3)/d^3","B",0
81,1,224,0,0.772850," ","integrate(x*(b*x^3+a)*sin(d*x+c),x, algorithm=""maxima"")","\frac{a c \cos\left(d x + c\right) - \frac{b c^{4} \cos\left(d x + c\right)}{d^{3}} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a + \frac{4 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{3}}{d^{3}} - \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c^{2}}{d^{3}} + \frac{4 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b c}{d^{3}} - \frac{{\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b}{d^{3}}}{d^{2}}"," ",0,"(a*c*cos(d*x + c) - b*c^4*cos(d*x + c)/d^3 - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a + 4*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^3/d^3 - 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c^2/d^3 + 4*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b*c/d^3 - (((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b/d^3)/d^2","B",0
82,1,141,0,0.728474," ","integrate((b*x^3+a)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a \cos\left(d x + c\right) - \frac{b c^{3} \cos\left(d x + c\right)}{d^{3}} + \frac{3 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b c^{2}}{d^{3}} - \frac{3 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b c}{d^{3}} + \frac{{\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b}{d^{3}}}{d}"," ",0,"-(a*cos(d*x + c) - b*c^3*cos(d*x + c)/d^3 + 3*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b*c^2/d^3 - 3*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b*c/d^3 + (((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b/d^3)/d","B",0
83,1,76,0,2.268307," ","integrate((b*x^3+a)*sin(d*x+c)/x,x, algorithm=""maxima"")","\frac{{\left(a {\left(-i \, {\rm Ei}\left(i \, d x\right) + i \, {\rm Ei}\left(-i \, d x\right)\right)} \cos\left(c\right) + a {\left({\rm Ei}\left(i \, d x\right) + {\rm Ei}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3} + 4 \, b d x \sin\left(d x + c\right) - 2 \, {\left(b d^{2} x^{2} - 2 \, b\right)} \cos\left(d x + c\right)}{2 \, d^{3}}"," ",0,"1/2*((a*(-I*Ei(I*d*x) + I*Ei(-I*d*x))*cos(c) + a*(Ei(I*d*x) + Ei(-I*d*x))*sin(c))*d^3 + 4*b*d*x*sin(d*x + c) - 2*(b*d^2*x^2 - 2*b)*cos(d*x + c))/d^3","C",0
84,1,69,0,2.269592," ","integrate((b*x^3+a)*sin(d*x+c)/x^2,x, algorithm=""maxima"")","\frac{{\left(a {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(-i \, \Gamma\left(-1, i \, d x\right) + i \, \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3} - 2 \, b d x \cos\left(d x + c\right) + 2 \, b \sin\left(d x + c\right)}{2 \, d^{2}}"," ",0,"1/2*((a*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*cos(c) + a*(-I*gamma(-1, I*d*x) + I*gamma(-1, -I*d*x))*sin(c))*d^3 - 2*b*d*x*cos(d*x + c) + 2*b*sin(d*x + c))/d^2","C",0
85,1,1151,0,1.519086," ","integrate((b*x^3+a)*sin(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{{\left({\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + {\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + {\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left({\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} b c^{3}}{{\left(d x + c\right)}^{2} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{3} - 2 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)} d^{3} + {\left(c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2}\right)} d^{3}} - \frac{{\left({\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + {\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} + {\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + {\left(i \, E_{3}\left(i \, d x\right) - i \, E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right) + {\left({\left(E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + E_{3}\left(i \, d x\right) + E_{3}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} a}{c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2} + {\left(d x + c\right)}^{2} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} - 2 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}} - \frac{2 \, {\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{3} - 3 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} + 3 \, {\left(b c^{2} \cos\left(c\right)^{2} + b c^{2} \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right)^{3} - {\left(3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + 3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} - b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + 3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right) - {\left(b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \cos\left(d x + c\right)^{2} - {\left(3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right)^{3} + 3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right) \sin\left(c\right)^{2} - b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)} \sin\left(c\right)^{3} + 3 \, b c^{3} {\left(E_{4}\left(i \, d x\right) + E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right) - 2 \, {\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{3} - 3 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} + 3 \, {\left(b c^{2} \cos\left(c\right)^{2} + b c^{2} \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right) - {\left(b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)} \cos\left(c\right)^{2} + b c^{3} {\left(3 i \, E_{4}\left(i \, d x\right) - 3 i \, E_{4}\left(-i \, d x\right)\right)}\right)} \sin\left(c\right)\right)} \sin\left(d x + c\right)^{2} + 2 \, {\left({\left(b \cos\left(c\right)^{2} + b \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{3} - 3 \, {\left(b c \cos\left(c\right)^{2} + b c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} + 3 \, {\left(b c^{2} \cos\left(c\right)^{2} + b c^{2} \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}\right)} \cos\left(d x + c\right)}{{\left({\left(d x + c\right)}^{3} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{3} - 3 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} d^{3} + 3 \, {\left(c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2}\right)} {\left(d x + c\right)} d^{3} - {\left(c^{3} \cos\left(c\right)^{2} + c^{3} \sin\left(c\right)^{2}\right)} d^{3}\right)} \cos\left(d x + c\right)^{2} + {\left({\left(d x + c\right)}^{3} {\left(\cos\left(c\right)^{2} + \sin\left(c\right)^{2}\right)} d^{3} - 3 \, {\left(c \cos\left(c\right)^{2} + c \sin\left(c\right)^{2}\right)} {\left(d x + c\right)}^{2} d^{3} + 3 \, {\left(c^{2} \cos\left(c\right)^{2} + c^{2} \sin\left(c\right)^{2}\right)} {\left(d x + c\right)} d^{3} - {\left(c^{3} \cos\left(c\right)^{2} + c^{3} \sin\left(c\right)^{2}\right)} d^{3}\right)} \sin\left(d x + c\right)^{2}}\right)} d^{2}"," ",0,"1/4*(((I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c)^3 + (I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c)*sin(c)^2 + (exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*sin(c)^3 + (I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c) + ((exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)^2 + exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*sin(c))*b*c^3/((d*x + c)^2*(cos(c)^2 + sin(c)^2)*d^3 - 2*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)*d^3 + (c^2*cos(c)^2 + c^2*sin(c)^2)*d^3) - ((I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c)^3 + (I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c)*sin(c)^2 + (exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*sin(c)^3 + (I*exp_integral_e(3, I*d*x) - I*exp_integral_e(3, -I*d*x))*cos(c) + ((exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*cos(c)^2 + exp_integral_e(3, I*d*x) + exp_integral_e(3, -I*d*x))*sin(c))*a/(c^2*cos(c)^2 + c^2*sin(c)^2 + (d*x + c)^2*(cos(c)^2 + sin(c)^2) - 2*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)) - (2*((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^3 - 3*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c)^2 + 3*(b*c^2*cos(c)^2 + b*c^2*sin(c)^2)*(d*x + c))*cos(d*x + c)^3 - (3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c)^3 + 3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c)*sin(c)^2 - b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x))*sin(c)^3 + 3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c) - (b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x))*cos(c)^2 + b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x)))*sin(c))*cos(d*x + c)^2 - (3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c)^3 + 3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c)*sin(c)^2 - b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x))*sin(c)^3 + 3*b*c^3*(exp_integral_e(4, I*d*x) + exp_integral_e(4, -I*d*x))*cos(c) - 2*((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^3 - 3*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c)^2 + 3*(b*c^2*cos(c)^2 + b*c^2*sin(c)^2)*(d*x + c))*cos(d*x + c) - (b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x))*cos(c)^2 + b*c^3*(3*I*exp_integral_e(4, I*d*x) - 3*I*exp_integral_e(4, -I*d*x)))*sin(c))*sin(d*x + c)^2 + 2*((b*cos(c)^2 + b*sin(c)^2)*(d*x + c)^3 - 3*(b*c*cos(c)^2 + b*c*sin(c)^2)*(d*x + c)^2 + 3*(b*c^2*cos(c)^2 + b*c^2*sin(c)^2)*(d*x + c))*cos(d*x + c))/(((d*x + c)^3*(cos(c)^2 + sin(c)^2)*d^3 - 3*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)^2*d^3 + 3*(c^2*cos(c)^2 + c^2*sin(c)^2)*(d*x + c)*d^3 - (c^3*cos(c)^2 + c^3*sin(c)^2)*d^3)*cos(d*x + c)^2 + ((d*x + c)^3*(cos(c)^2 + sin(c)^2)*d^3 - 3*(c*cos(c)^2 + c*sin(c)^2)*(d*x + c)^2*d^3 + 3*(c^2*cos(c)^2 + c^2*sin(c)^2)*(d*x + c)*d^3 - (c^3*cos(c)^2 + c^3*sin(c)^2)*d^3)*sin(d*x + c)^2))*d^2","C",0
86,1,132,0,2.550622," ","integrate((b*x^3+a)*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + a {\left(-i \, \Gamma\left(-3, i \, d x\right) + i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} + {\left(b {\left(-6 i \, \Gamma\left(-3, i \, d x\right) + 6 i \, \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) - 6 \, b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 2 \, b d x \sin\left(d x + c\right) + 2 \, {\left(b d^{2} x^{2} - 2 \, b\right)} \cos\left(d x + c\right)}{2 \, d^{3} x^{3}}"," ",0,"-1/2*(((a*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) + a*(-I*gamma(-3, I*d*x) + I*gamma(-3, -I*d*x))*sin(c))*d^6 + (b*(-6*I*gamma(-3, I*d*x) + 6*I*gamma(-3, -I*d*x))*cos(c) - 6*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 2*b*d*x*sin(d*x + c) + 2*(b*d^2*x^2 - 2*b)*cos(d*x + c))/(d^3*x^3)","C",0
87,1,662,0,1.049954," ","integrate(x*(b*x^3+a)^2*sin(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} c \cos\left(d x + c\right) + \frac{b^{2} c^{7} \cos\left(d x + c\right)}{d^{6}} - \frac{2 \, a b c^{4} \cos\left(d x + c\right)}{d^{3}} - {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a^{2} - \frac{7 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{6}}{d^{6}} + \frac{8 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c^{3}}{d^{3}} + \frac{21 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{5}}{d^{6}} - \frac{12 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b c^{2}}{d^{3}} - \frac{35 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c^{4}}{d^{6}} + \frac{8 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a b c}{d^{3}} + \frac{35 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{6}} - \frac{2 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} a b}{d^{3}} - \frac{21 \, {\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{6}} + \frac{7 \, {\left({\left({\left(d x + c\right)}^{6} - 30 \, {\left(d x + c\right)}^{4} + 360 \, {\left(d x + c\right)}^{2} - 720\right)} \cos\left(d x + c\right) - 6 \, {\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{6}} - \frac{{\left({\left({\left(d x + c\right)}^{7} - 42 \, {\left(d x + c\right)}^{5} + 840 \, {\left(d x + c\right)}^{3} - 5040 \, d x - 5040 \, c\right)} \cos\left(d x + c\right) - 7 \, {\left({\left(d x + c\right)}^{6} - 30 \, {\left(d x + c\right)}^{4} + 360 \, {\left(d x + c\right)}^{2} - 720\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{6}}}{d^{2}}"," ",0,"(a^2*c*cos(d*x + c) + b^2*c^7*cos(d*x + c)/d^6 - 2*a*b*c^4*cos(d*x + c)/d^3 - ((d*x + c)*cos(d*x + c) - sin(d*x + c))*a^2 - 7*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^6/d^6 + 8*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c^3/d^3 + 21*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^5/d^6 - 12*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b*c^2/d^3 - 35*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c^4/d^6 + 8*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a*b*c/d^3 + 35*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2*c^3/d^6 - 2*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*a*b/d^3 - 21*(((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b^2*c^2/d^6 + 7*(((d*x + c)^6 - 30*(d*x + c)^4 + 360*(d*x + c)^2 - 720)*cos(d*x + c) - 6*((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*sin(d*x + c))*b^2*c/d^6 - (((d*x + c)^7 - 42*(d*x + c)^5 + 840*(d*x + c)^3 - 5040*d*x - 5040*c)*cos(d*x + c) - 7*((d*x + c)^6 - 30*(d*x + c)^4 + 360*(d*x + c)^2 - 720)*sin(d*x + c))*b^2/d^6)/d^2","B",0
88,1,489,0,0.783802," ","integrate((b*x^3+a)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{a^{2} \cos\left(d x + c\right) + \frac{b^{2} c^{6} \cos\left(d x + c\right)}{d^{6}} - \frac{2 \, a b c^{3} \cos\left(d x + c\right)}{d^{3}} - \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} b^{2} c^{5}}{d^{6}} + \frac{6 \, {\left({\left(d x + c\right)} \cos\left(d x + c\right) - \sin\left(d x + c\right)\right)} a b c^{2}}{d^{3}} + \frac{15 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{4}}{d^{6}} - \frac{6 \, {\left({\left({\left(d x + c\right)}^{2} - 2\right)} \cos\left(d x + c\right) - 2 \, {\left(d x + c\right)} \sin\left(d x + c\right)\right)} a b c}{d^{3}} - \frac{20 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} b^{2} c^{3}}{d^{6}} + \frac{2 \, {\left({\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \cos\left(d x + c\right) - 3 \, {\left({\left(d x + c\right)}^{2} - 2\right)} \sin\left(d x + c\right)\right)} a b}{d^{3}} + \frac{15 \, {\left({\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \cos\left(d x + c\right) - 4 \, {\left({\left(d x + c\right)}^{3} - 6 \, d x - 6 \, c\right)} \sin\left(d x + c\right)\right)} b^{2} c^{2}}{d^{6}} - \frac{6 \, {\left({\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \cos\left(d x + c\right) - 5 \, {\left({\left(d x + c\right)}^{4} - 12 \, {\left(d x + c\right)}^{2} + 24\right)} \sin\left(d x + c\right)\right)} b^{2} c}{d^{6}} + \frac{{\left({\left({\left(d x + c\right)}^{6} - 30 \, {\left(d x + c\right)}^{4} + 360 \, {\left(d x + c\right)}^{2} - 720\right)} \cos\left(d x + c\right) - 6 \, {\left({\left(d x + c\right)}^{5} - 20 \, {\left(d x + c\right)}^{3} + 120 \, d x + 120 \, c\right)} \sin\left(d x + c\right)\right)} b^{2}}{d^{6}}}{d}"," ",0,"-(a^2*cos(d*x + c) + b^2*c^6*cos(d*x + c)/d^6 - 2*a*b*c^3*cos(d*x + c)/d^3 - 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*b^2*c^5/d^6 + 6*((d*x + c)*cos(d*x + c) - sin(d*x + c))*a*b*c^2/d^3 + 15*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*b^2*c^4/d^6 - 6*(((d*x + c)^2 - 2)*cos(d*x + c) - 2*(d*x + c)*sin(d*x + c))*a*b*c/d^3 - 20*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*b^2*c^3/d^6 + 2*(((d*x + c)^3 - 6*d*x - 6*c)*cos(d*x + c) - 3*((d*x + c)^2 - 2)*sin(d*x + c))*a*b/d^3 + 15*(((d*x + c)^4 - 12*(d*x + c)^2 + 24)*cos(d*x + c) - 4*((d*x + c)^3 - 6*d*x - 6*c)*sin(d*x + c))*b^2*c^2/d^6 - 6*(((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*cos(d*x + c) - 5*((d*x + c)^4 - 12*(d*x + c)^2 + 24)*sin(d*x + c))*b^2*c/d^6 + (((d*x + c)^6 - 30*(d*x + c)^4 + 360*(d*x + c)^2 - 720)*cos(d*x + c) - 6*((d*x + c)^5 - 20*(d*x + c)^3 + 120*d*x + 120*c)*sin(d*x + c))*b^2/d^6)/d","B",0
89,1,147,0,12.018510," ","integrate((b*x^3+a)^2*sin(d*x+c)/x,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(-i \, {\rm Ei}\left(i \, d x\right) + i \, {\rm Ei}\left(-i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left({\rm Ei}\left(i \, d x\right) + {\rm Ei}\left(-i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} - 2 \, {\left(b^{2} d^{5} x^{5} + 2 \, a b d^{5} x^{2} - 20 \, b^{2} d^{3} x^{3} - 4 \, a b d^{3} + 120 \, b^{2} d x\right)} \cos\left(d x + c\right) + 2 \, {\left(5 \, b^{2} d^{4} x^{4} + 4 \, a b d^{4} x - 60 \, b^{2} d^{2} x^{2} + 120 \, b^{2}\right)} \sin\left(d x + c\right)}{2 \, d^{6}}"," ",0,"1/2*((a^2*(-I*Ei(I*d*x) + I*Ei(-I*d*x))*cos(c) + a^2*(Ei(I*d*x) + Ei(-I*d*x))*sin(c))*d^6 - 2*(b^2*d^5*x^5 + 2*a*b*d^5*x^2 - 20*b^2*d^3*x^3 - 4*a*b*d^3 + 120*b^2*d*x)*cos(d*x + c) + 2*(5*b^2*d^4*x^4 + 4*a*b*d^4*x - 60*b^2*d^2*x^2 + 120*b^2)*sin(d*x + c))/d^6","C",0
90,1,129,0,14.759600," ","integrate((b*x^3+a)^2*sin(d*x+c)/x^2,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(\Gamma\left(-1, i \, d x\right) + \Gamma\left(-1, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(-i \, \Gamma\left(-1, i \, d x\right) + i \, \Gamma\left(-1, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} - 2 \, {\left(b^{2} d^{4} x^{4} + 2 \, a b d^{4} x - 12 \, b^{2} d^{2} x^{2} + 24 \, b^{2}\right)} \cos\left(d x + c\right) + 4 \, {\left(2 \, b^{2} d^{3} x^{3} + a b d^{3} - 12 \, b^{2} d x\right)} \sin\left(d x + c\right)}{2 \, d^{5}}"," ",0,"1/2*((a^2*(gamma(-1, I*d*x) + gamma(-1, -I*d*x))*cos(c) + a^2*(-I*gamma(-1, I*d*x) + I*gamma(-1, -I*d*x))*sin(c))*d^6 - 2*(b^2*d^4*x^4 + 2*a*b*d^4*x - 12*b^2*d^2*x^2 + 24*b^2)*cos(d*x + c) + 4*(2*b^2*d^3*x^3 + a*b*d^3 - 12*b^2*d*x)*sin(d*x + c))/d^5","C",0
91,1,110,0,3.074370," ","integrate((b*x^3+a)^2*sin(d*x+c)/x^3,x, algorithm=""maxima"")","\frac{{\left(a^{2} {\left(i \, \Gamma\left(-2, i \, d x\right) - i \, \Gamma\left(-2, -i \, d x\right)\right)} \cos\left(c\right) + a^{2} {\left(\Gamma\left(-2, i \, d x\right) + \Gamma\left(-2, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} - 2 \, {\left(b^{2} d^{3} x^{3} + 2 \, a b d^{3} - 6 \, b^{2} d x\right)} \cos\left(d x + c\right) + 6 \, {\left(b^{2} d^{2} x^{2} - 2 \, b^{2}\right)} \sin\left(d x + c\right)}{2 \, d^{4}}"," ",0,"1/2*((a^2*(I*gamma(-2, I*d*x) - I*gamma(-2, -I*d*x))*cos(c) + a^2*(gamma(-2, I*d*x) + gamma(-2, -I*d*x))*sin(c))*d^6 - 2*(b^2*d^3*x^3 + 2*a*b*d^3 - 6*b^2*d*x)*cos(d*x + c) + 6*(b^2*d^2*x^2 - 2*b^2)*sin(d*x + c))/d^4","C",0
92,1,173,0,10.003723," ","integrate((b*x^3+a)^2*sin(d*x+c)/x^4,x, algorithm=""maxima"")","-\frac{{\left({\left(a^{2} {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) - a^{2} {\left(i \, \Gamma\left(-3, i \, d x\right) - i \, \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{6} - {\left(a b {\left(12 i \, \Gamma\left(-3, i \, d x\right) - 12 i \, \Gamma\left(-3, -i \, d x\right)\right)} \cos\left(c\right) + 12 \, a b {\left(\Gamma\left(-3, i \, d x\right) + \Gamma\left(-3, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{3}\right)} x^{3} + 2 \, {\left(b^{2} d^{2} x^{5} + 2 \, a b d^{2} x^{2} - 2 \, b^{2} x^{3} - 4 \, a b\right)} \cos\left(d x + c\right) - 4 \, {\left(b^{2} d x^{4} - a b d x\right)} \sin\left(d x + c\right)}{2 \, d^{3} x^{3}}"," ",0,"-1/2*(((a^2*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*cos(c) - a^2*(I*gamma(-3, I*d*x) - I*gamma(-3, -I*d*x))*sin(c))*d^6 - (a*b*(12*I*gamma(-3, I*d*x) - 12*I*gamma(-3, -I*d*x))*cos(c) + 12*a*b*(gamma(-3, I*d*x) + gamma(-3, -I*d*x))*sin(c))*d^3)*x^3 + 2*(b^2*d^2*x^5 + 2*a*b*d^2*x^2 - 2*b^2*x^3 - 4*a*b)*cos(d*x + c) - 4*(b^2*d*x^4 - a*b*d*x)*sin(d*x + c))/(d^3*x^3)","C",0
93,1,166,0,16.428530," ","integrate((b*x^3+a)^2*sin(d*x+c)/x^5,x, algorithm=""maxima"")","\frac{{\left({\left(a^{2} {\left(-i \, \Gamma\left(-4, i \, d x\right) + i \, \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - a^{2} {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{7} - {\left(48 \, a b {\left(\Gamma\left(-4, i \, d x\right) + \Gamma\left(-4, -i \, d x\right)\right)} \cos\left(c\right) - a b {\left(48 i \, \Gamma\left(-4, i \, d x\right) - 48 i \, \Gamma\left(-4, -i \, d x\right)\right)} \sin\left(c\right)\right)} d^{4}\right)} x^{4} - 2 \, {\left(b^{2} d^{2} x^{5} + 2 \, a b d^{2} x^{2} - 12 \, a b\right)} \cos\left(d x + c\right) + 2 \, {\left(b^{2} d x^{4} - 4 \, a b d x\right)} \sin\left(d x + c\right)}{2 \, d^{3} x^{4}}"," ",0,"1/2*(((a^2*(-I*gamma(-4, I*d*x) + I*gamma(-4, -I*d*x))*cos(c) - a^2*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*sin(c))*d^7 - (48*a*b*(gamma(-4, I*d*x) + gamma(-4, -I*d*x))*cos(c) - a*b*(48*I*gamma(-4, I*d*x) - 48*I*gamma(-4, -I*d*x))*sin(c))*d^4)*x^4 - 2*(b^2*d^2*x^5 + 2*a*b*d^2*x^2 - 12*a*b)*cos(d*x + c) + 2*(b^2*d*x^4 - 4*a*b*d*x)*sin(d*x + c))/(d^3*x^4)","C",0
94,-1,0,0,0.000000," ","integrate(x^4*sin(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,-1,0,0,0.000000," ","integrate(x^2*sin(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,-1,0,0,0.000000," ","integrate(x*sin(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^3 + a), x)","F",0
99,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)*x), x)","F",0
100,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)*x^2), x)","F",0
101,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)*x^3), x)","F",0
102,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\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, algorithm=""maxima"")","\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, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^3 + a)^2, x)","F",0
106,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)^2*x), x)","F",0
107,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)^2*x^2), x)","F",0
108,0,0,0,0.000000," ","integrate(sin(d*x+c)/x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)^2*x^3), x)","F",0
109,-1,0,0,0.000000," ","integrate(x^3*sin(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\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, algorithm=""maxima"")","\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, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,0,0,0,0.000000," ","integrate(sin(d*x+c)/(b*x^3+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(sin(d*x + c)/(b*x^3 + a)^3, x)","F",0
113,0,0,0,0.000000," ","integrate(sin(d*x+c)/x/(b*x^3+a)^3,x, algorithm=""maxima"")","\int \frac{\sin\left(d x + c\right)}{{\left(b x^{3} + a\right)}^{3} x}\,{d x}"," ",0,"integrate(sin(d*x + c)/((b*x^3 + a)^3*x), x)","F",0
