1,1,62,53,0.026000," ","int(x^5*(a+b*sin(d*x^2+c)),x)","\frac{a \,x^{6}}{6}+b \left(-\frac{x^{4} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\frac{x^{2} \sin \left(d \,x^{2}+c \right)}{d}+\frac{\cos \left(d \,x^{2}+c \right)}{d^{2}}}{d}\right)"," ",0,"1/6*a*x^6+b*(-1/2/d*x^4*cos(d*x^2+c)+2/d*(1/2/d*x^2*sin(d*x^2+c)+1/2/d^2*cos(d*x^2+c)))","A"
2,1,40,38,0.022000," ","int(x^3*(a+b*sin(d*x^2+c)),x)","\frac{a \,x^{4}}{4}+b \left(-\frac{x^{2} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\sin \left(d \,x^{2}+c \right)}{2 d^{2}}\right)"," ",0,"1/4*a*x^4+b*(-1/2/d*x^2*cos(d*x^2+c)+1/2/d^2*sin(d*x^2+c))","A"
3,1,27,21,0.008000," ","int(x*(a+b*sin(d*x^2+c)),x)","\frac{a \left(d \,x^{2}+c \right)-b \cos \left(d \,x^{2}+c \right)}{2 d}"," ",0,"1/2/d*(a*(d*x^2+c)-b*cos(d*x^2+c))","A"
4,1,28,27,0.026000," ","int((a+b*sin(d*x^2+c))/x,x)","a \ln \left(x \right)+\frac{b \cos \left(c \right) \Si \left(d \,x^{2}\right)}{2}+\frac{b \Ci \left(d \,x^{2}\right) \sin \left(c \right)}{2}"," ",0,"a*ln(x)+1/2*b*cos(c)*Si(d*x^2)+1/2*b*Ci(d*x^2)*sin(c)","A"
5,1,47,45,0.024000," ","int((a+b*sin(d*x^2+c))/x^3,x)","-\frac{a}{2 x^{2}}+b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{2 x^{2}}+d \left(\frac{\cos \left(c \right) \Ci \left(d \,x^{2}\right)}{2}-\frac{\sin \left(c \right) \Si \left(d \,x^{2}\right)}{2}\right)\right)"," ",0,"-1/2*a/x^2+b*(-1/2/x^2*sin(d*x^2+c)+d*(1/2*cos(c)*Ci(d*x^2)-1/2*sin(c)*Si(d*x^2)))","A"
6,1,65,64,0.023000," ","int((a+b*sin(d*x^2+c))/x^5,x)","-\frac{a}{4 x^{4}}+b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{4 x^{4}}+\frac{d \left(-\frac{\cos \left(d \,x^{2}+c \right)}{2 x^{2}}-d \left(\frac{\cos \left(c \right) \Si \left(d \,x^{2}\right)}{2}+\frac{\sin \left(c \right) \Ci \left(d \,x^{2}\right)}{2}\right)\right)}{2}\right)"," ",0,"-1/4*a/x^4+b*(-1/4/x^4*sin(d*x^2+c)+1/2*d*(-1/2/x^2*cos(d*x^2+c)-d*(1/2*cos(c)*Si(d*x^2)+1/2*sin(c)*Ci(d*x^2))))","A"
7,1,89,91,0.027000," ","int(x^4*(a+b*sin(d*x^2+c)),x)","\frac{a \,x^{5}}{5}+b \left(-\frac{x^{3} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\frac{3 x \sin \left(d \,x^{2}+c \right)}{4 d}-\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{8 d^{\frac{3}{2}}}}{d}\right)"," ",0,"1/5*a*x^5+b*(-1/2/d*x^3*cos(d*x^2+c)+3/2/d*(1/2/d*x*sin(d*x^2+c)-1/4/d^(3/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))))","A"
8,1,68,74,0.028000," ","int(x^2*(a+b*sin(d*x^2+c)),x)","\frac{a \,x^{3}}{3}+b \left(-\frac{x \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 d^{\frac{3}{2}}}\right)"," ",0,"1/3*a*x^3+b*(-1/2/d*x*cos(d*x^2+c)+1/4/d^(3/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2))-sin(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))))","A"
9,1,48,56,0.020000," ","int(a+b*sin(d*x^2+c),x)","a x +\frac{b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{2 \sqrt{d}}"," ",0,"a*x+1/2*b*2^(1/2)*Pi^(1/2)/d^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))","A"
10,1,66,72,0.028000," ","int((a+b*sin(d*x^2+c))/x^2,x)","-\frac{a}{x}+b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{x}+\sqrt{d}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)"," ",0,"-a/x+b*(-1/x*sin(d*x^2+c)+d^(1/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2))-sin(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))))","A"
11,1,83,88,0.027000," ","int((a+b*sin(d*x^2+c))/x^4,x)","-\frac{a}{3 x^{3}}+b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{3 x^{3}}+\frac{2 d \left(-\frac{\cos \left(d \,x^{2}+c \right)}{x}-\sqrt{d}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)"," ",0,"-1/3*a/x^3+b*(-1/3/x^3*sin(d*x^2+c)+2/3*d*(-1/x*cos(d*x^2+c)-d^(1/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))))","A"
12,1,140,151,0.054000," ","int(x^5*(a+b*sin(d*x^2+c))^2,x)","\frac{a^{2} x^{6}}{6}+\frac{b^{2} x^{6}}{12}-\frac{b^{2} \left(\frac{x^{4} \sin \left(2 d \,x^{2}+2 c \right)}{4 d}-\frac{-\frac{x^{2} \cos \left(2 d \,x^{2}+2 c \right)}{4 d}+\frac{\sin \left(2 d \,x^{2}+2 c \right)}{8 d^{2}}}{d}\right)}{2}+2 a b \left(-\frac{x^{4} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\frac{x^{2} \sin \left(d \,x^{2}+c \right)}{d}+\frac{\cos \left(d \,x^{2}+c \right)}{d^{2}}}{d}\right)"," ",0,"1/6*a^2*x^6+1/12*b^2*x^6-1/2*b^2*(1/4/d*x^4*sin(2*d*x^2+2*c)-1/d*(-1/4/d*x^2*cos(2*d*x^2+2*c)+1/8/d^2*sin(2*d*x^2+2*c)))+2*a*b*(-1/2/d*x^4*cos(d*x^2+c)+2/d*(1/2/d*x^2*sin(d*x^2+c)+1/2/d^2*cos(d*x^2+c)))","A"
13,1,93,94,0.051000," ","int(x^3*(a+b*sin(d*x^2+c))^2,x)","\frac{a^{2} x^{4}}{4}+\frac{b^{2} x^{4}}{8}-\frac{b^{2} \left(\frac{x^{2} \sin \left(2 d \,x^{2}+2 c \right)}{4 d}+\frac{\cos \left(2 d \,x^{2}+2 c \right)}{8 d^{2}}\right)}{2}+2 a b \left(-\frac{x^{2} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\sin \left(d \,x^{2}+c \right)}{2 d^{2}}\right)"," ",0,"1/4*a^2*x^4+1/8*b^2*x^4-1/2*b^2*(1/4/d*x^2*sin(2*d*x^2+2*c)+1/8/d^2*cos(2*d*x^2+2*c))+2*a*b*(-1/2/d*x^2*cos(d*x^2+c)+1/2/d^2*sin(d*x^2+c))","A"
14,1,62,54,0.045000," ","int(x*(a+b*sin(d*x^2+c))^2,x)","\frac{b^{2} \left(-\frac{\cos \left(d \,x^{2}+c \right) \sin \left(d \,x^{2}+c \right)}{2}+\frac{d \,x^{2}}{2}+\frac{c}{2}\right)-2 a b \cos \left(d \,x^{2}+c \right)+a^{2} \left(d \,x^{2}+c \right)}{2 d}"," ",0,"1/2/d*(b^2*(-1/2*cos(d*x^2+c)*sin(d*x^2+c)+1/2*d*x^2+1/2*c)-2*a*b*cos(d*x^2+c)+a^2*(d*x^2+c))","A"
15,1,157,68,0.587000," ","int((a+b*sin(d*x^2+c))^2/x,x)","-\frac{\pi  \,{\mathrm e}^{-i c} \mathrm{csgn}\left(d \,x^{2}\right) a b}{2}+{\mathrm e}^{-i c} \Si \left(d \,x^{2}\right) a b -\frac{i {\mathrm e}^{-i c} \Ei \left(1, -i d \,x^{2}\right) a b}{2}+\ln \left(x \right) a^{2}+\frac{\ln \left(x \right) b^{2}}{2}-\frac{i \pi  \,\mathrm{csgn}\left(d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2}}{8}+\frac{i {\mathrm e}^{-2 i c} \Si \left(2 d \,x^{2}\right) b^{2}}{4}+\frac{{\mathrm e}^{-2 i c} \Ei \left(1, -2 i d \,x^{2}\right) b^{2}}{8}+\frac{b^{2} {\mathrm e}^{2 i c} \Ei \left(1, -2 i d \,x^{2}\right)}{8}+\frac{i a b \,{\mathrm e}^{i c} \Ei \left(1, -i d \,x^{2}\right)}{2}"," ",0,"-1/2*Pi*exp(-I*c)*csgn(d*x^2)*a*b+exp(-I*c)*Si(d*x^2)*a*b-1/2*I*exp(-I*c)*Ei(1,-I*d*x^2)*a*b+ln(x)*a^2+1/2*ln(x)*b^2-1/8*I*Pi*csgn(d*x^2)*exp(-2*I*c)*b^2+1/4*I*exp(-2*I*c)*Si(2*d*x^2)*b^2+1/8*exp(-2*I*c)*Ei(1,-2*I*d*x^2)*b^2+1/8*b^2*exp(2*I*c)*Ei(1,-2*I*d*x^2)+1/2*I*a*b*exp(I*c)*Ei(1,-I*d*x^2)","C"
16,1,203,110,0.620000," ","int((a+b*sin(d*x^2+c))^2/x^3,x)","-\frac{\pi  \,\mathrm{csgn}\left(d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d}{4}+\frac{\Si \left(2 d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d}{2}-\frac{i \Ei \left(1, -2 i d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d}{4}+\frac{i b^{2} d \Ei \left(1, -2 i d \,x^{2}\right) {\mathrm e}^{2 i c}}{4}-\frac{a b d \Ei \left(1, -i d \,x^{2}\right) {\mathrm e}^{i c}}{2}+\frac{i \pi  \,\mathrm{csgn}\left(d \,x^{2}\right) {\mathrm e}^{-i c} a b d}{2}-i \Si \left(d \,x^{2}\right) {\mathrm e}^{-i c} a b d -\frac{\Ei \left(1, -i d \,x^{2}\right) {\mathrm e}^{-i c} a b d}{2}-\frac{a^{2}}{2 x^{2}}-\frac{b^{2}}{4 x^{2}}-\frac{a b \sin \left(d \,x^{2}+c \right)}{x^{2}}+\frac{b^{2} \cos \left(2 d \,x^{2}+2 c \right)}{4 x^{2}}"," ",0,"-1/4*Pi*csgn(d*x^2)*exp(-2*I*c)*b^2*d+1/2*Si(2*d*x^2)*exp(-2*I*c)*b^2*d-1/4*I*Ei(1,-2*I*d*x^2)*exp(-2*I*c)*b^2*d+1/4*I*b^2*d*Ei(1,-2*I*d*x^2)*exp(2*I*c)-1/2*a*b*d*Ei(1,-I*d*x^2)*exp(I*c)+1/2*I*Pi*csgn(d*x^2)*exp(-I*c)*a*b*d-I*Si(d*x^2)*exp(-I*c)*a*b*d-1/2*Ei(1,-I*d*x^2)*exp(-I*c)*a*b*d-1/2/x^2*a^2-1/4*b^2/x^2-a*b*sin(d*x^2+c)/x^2+1/4*b^2*cos(2*d*x^2+2*c)/x^2","C"
17,1,255,155,0.687000," ","int((a+b*sin(d*x^2+c))^2/x^5,x)","\frac{\pi  \,\mathrm{csgn}\left(d \,x^{2}\right) {\mathrm e}^{-i c} a b \,d^{2}}{4}-\frac{\Si \left(d \,x^{2}\right) {\mathrm e}^{-i c} a b \,d^{2}}{2}+\frac{i \Ei \left(1, -i d \,x^{2}\right) {\mathrm e}^{-i c} a b \,d^{2}}{4}-\frac{a^{2}}{4 x^{4}}-\frac{b^{2}}{8 x^{4}}+\frac{i \pi  \,\mathrm{csgn}\left(d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d^{2}}{4}-\frac{i \Si \left(2 d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d^{2}}{2}-\frac{\Ei \left(1, -2 i d \,x^{2}\right) {\mathrm e}^{-2 i c} b^{2} d^{2}}{4}-\frac{b^{2} d^{2} \Ei \left(1, -2 i d \,x^{2}\right) {\mathrm e}^{2 i c}}{4}-\frac{i a b \,d^{2} \Ei \left(1, -i d \,x^{2}\right) {\mathrm e}^{i c}}{4}-\frac{a b d \cos \left(d \,x^{2}+c \right)}{2 x^{2}}-\frac{a b \sin \left(d \,x^{2}+c \right)}{2 x^{4}}+\frac{b^{2} \cos \left(2 d \,x^{2}+2 c \right)}{8 x^{4}}-\frac{b^{2} d \sin \left(2 d \,x^{2}+2 c \right)}{4 x^{2}}"," ",0,"1/4*Pi*csgn(d*x^2)*exp(-I*c)*a*b*d^2-1/2*Si(d*x^2)*exp(-I*c)*a*b*d^2+1/4*I*Ei(1,-I*d*x^2)*exp(-I*c)*a*b*d^2-1/4/x^4*a^2-1/8*b^2/x^4+1/4*I*Pi*csgn(d*x^2)*exp(-2*I*c)*b^2*d^2-1/2*I*Si(2*d*x^2)*exp(-2*I*c)*b^2*d^2-1/4*Ei(1,-2*I*d*x^2)*exp(-2*I*c)*b^2*d^2-1/4*b^2*d^2*Ei(1,-2*I*d*x^2)*exp(2*I*c)-1/4*I*a*b*d^2*Ei(1,-I*d*x^2)*exp(I*c)-1/2*a*b*d*cos(d*x^2+c)/x^2-1/2*a*b*sin(d*x^2+c)/x^4+1/8*b^2*cos(2*d*x^2+2*c)/x^4-1/4*b^2*d*sin(2*d*x^2+2*c)/x^2","C"
18,1,189,195,0.059000," ","int(x^4*(a+b*sin(d*x^2+c))^2,x)","\frac{x^{5} a^{2}}{5}+\frac{x^{5} b^{2}}{10}-\frac{b^{2} \left(\frac{x^{3} \sin \left(2 d \,x^{2}+2 c \right)}{4 d}-\frac{3 \left(-\frac{x \cos \left(2 d \,x^{2}+2 c \right)}{4 d}+\frac{\sqrt{\pi}\, \left(\cos \left(2 c \right) \FresnelC \left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)-\sin \left(2 c \right) \mathrm{S}\left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)\right)}{8 d^{\frac{3}{2}}}\right)}{4 d}\right)}{2}+2 a b \left(-\frac{x^{3} \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\frac{3 x \sin \left(d \,x^{2}+c \right)}{4 d}-\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{8 d^{\frac{3}{2}}}}{d}\right)"," ",0,"1/5*x^5*a^2+1/10*x^5*b^2-1/2*b^2*(1/4/d*x^3*sin(2*d*x^2+2*c)-3/4/d*(-1/4/d*x*cos(2*d*x^2+2*c)+1/8/d^(3/2)*Pi^(1/2)*(cos(2*c)*FresnelC(2*x*d^(1/2)/Pi^(1/2))-sin(2*c)*FresnelS(2*x*d^(1/2)/Pi^(1/2)))))+2*a*b*(-1/2/d*x^3*cos(d*x^2+c)+3/2/d*(1/2/d*x*sin(d*x^2+c)-1/4/d^(3/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))))","A"
19,1,142,155,0.057000," ","int(x^2*(a+b*sin(d*x^2+c))^2,x)","\frac{x^{3} a^{2}}{3}+\frac{x^{3} b^{2}}{6}-\frac{b^{2} \left(\frac{x \sin \left(2 d \,x^{2}+2 c \right)}{4 d}-\frac{\sqrt{\pi}\, \left(\cos \left(2 c \right) \mathrm{S}\left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)+\sin \left(2 c \right) \FresnelC \left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)\right)}{8 d^{\frac{3}{2}}}\right)}{2}+2 a b \left(-\frac{x \cos \left(d \,x^{2}+c \right)}{2 d}+\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 d^{\frac{3}{2}}}\right)"," ",0,"1/3*x^3*a^2+1/6*x^3*b^2-1/2*b^2*(1/4/d*x*sin(2*d*x^2+2*c)-1/8/d^(3/2)*Pi^(1/2)*(cos(2*c)*FresnelS(2*x*d^(1/2)/Pi^(1/2))+sin(2*c)*FresnelC(2*x*d^(1/2)/Pi^(1/2))))+2*a*b*(-1/2/d*x*cos(d*x^2+c)+1/4/d^(3/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2))-sin(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))))","A"
20,1,99,115,0.059000," ","int((a+b*sin(d*x^2+c))^2,x)","a^{2} x +\frac{b^{2} x}{2}-\frac{b^{2} \sqrt{\pi}\, \left(\cos \left(2 c \right) \FresnelC \left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)-\sin \left(2 c \right) \mathrm{S}\left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)\right)}{4 \sqrt{d}}+\frac{a b \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{\sqrt{d}}"," ",0,"a^2*x+1/2*b^2*x-1/4*b^2*Pi^(1/2)/d^(1/2)*(cos(2*c)*FresnelC(2*x*d^(1/2)/Pi^(1/2))-sin(2*c)*FresnelS(2*x*d^(1/2)/Pi^(1/2)))+a*b*2^(1/2)*Pi^(1/2)/d^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))","A"
21,1,137,153,0.058000," ","int((a+b*sin(d*x^2+c))^2/x^2,x)","-\frac{a^{2}+\frac{b^{2}}{2}}{x}-\frac{b^{2} \left(-\frac{\cos \left(2 d \,x^{2}+2 c \right)}{x}-2 \sqrt{d}\, \sqrt{\pi}\, \left(\cos \left(2 c \right) \mathrm{S}\left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)+\sin \left(2 c \right) \FresnelC \left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)\right)\right)}{2}+2 a b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{x}+\sqrt{d}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)"," ",0,"-(a^2+1/2*b^2)/x-1/2*b^2*(-1/x*cos(2*d*x^2+2*c)-2*d^(1/2)*Pi^(1/2)*(cos(2*c)*FresnelS(2*x*d^(1/2)/Pi^(1/2))+sin(2*c)*FresnelC(2*x*d^(1/2)/Pi^(1/2))))+2*a*b*(-1/x*sin(d*x^2+c)+d^(1/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2))-sin(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))))","A"
22,1,175,191,0.059000," ","int((a+b*sin(d*x^2+c))^2/x^4,x)","-\frac{a^{2}+\frac{b^{2}}{2}}{3 x^{3}}-\frac{b^{2} \left(-\frac{\cos \left(2 d \,x^{2}+2 c \right)}{3 x^{3}}-\frac{4 d \left(-\frac{\sin \left(2 d \,x^{2}+2 c \right)}{x}+2 \sqrt{d}\, \sqrt{\pi}\, \left(\cos \left(2 c \right) \FresnelC \left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)-\sin \left(2 c \right) \mathrm{S}\left(\frac{2 x \sqrt{d}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)}{2}+2 a b \left(-\frac{\sin \left(d \,x^{2}+c \right)}{3 x^{3}}+\frac{2 d \left(-\frac{\cos \left(d \,x^{2}+c \right)}{x}-\sqrt{d}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(c \right) \mathrm{S}\left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(c \right) \FresnelC \left(\frac{x \sqrt{d}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)"," ",0,"-1/3*(a^2+1/2*b^2)/x^3-1/2*b^2*(-1/3/x^3*cos(2*d*x^2+2*c)-4/3*d*(-1/x*sin(2*d*x^2+2*c)+2*d^(1/2)*Pi^(1/2)*(cos(2*c)*FresnelC(2*x*d^(1/2)/Pi^(1/2))-sin(2*c)*FresnelS(2*x*d^(1/2)/Pi^(1/2)))))+2*a*b*(-1/3/x^3*sin(d*x^2+c)+2/3*d*(-1/x*cos(d*x^2+c)-d^(1/2)*2^(1/2)*Pi^(1/2)*(cos(c)*FresnelS(x*d^(1/2)*2^(1/2)/Pi^(1/2))+sin(c)*FresnelC(x*d^(1/2)*2^(1/2)/Pi^(1/2)))))","A"
23,1,113,105,0.030000," ","int(x^5*sin(b*x^2+a)^3,x)","-\frac{3 x^{4} \cos \left(b \,x^{2}+a \right)}{8 b}+\frac{\frac{3 x^{2} \sin \left(b \,x^{2}+a \right)}{4 b}+\frac{3 \cos \left(b \,x^{2}+a \right)}{4 b^{2}}}{b}+\frac{x^{4} \cos \left(3 b \,x^{2}+3 a \right)}{24 b}-\frac{\frac{x^{2} \sin \left(3 b \,x^{2}+3 a \right)}{6 b}+\frac{\cos \left(3 b \,x^{2}+3 a \right)}{18 b^{2}}}{6 b}"," ",0,"-3/8*x^4*cos(b*x^2+a)/b+3/2/b*(1/2/b*x^2*sin(b*x^2+a)+1/2/b^2*cos(b*x^2+a))+1/24/b*x^4*cos(3*b*x^2+3*a)-1/6/b*(1/6/b*x^2*sin(3*b*x^2+3*a)+1/18/b^2*cos(3*b*x^2+3*a))","A"
24,1,66,71,0.025000," ","int(x^3*sin(b*x^2+a)^3,x)","-\frac{3 x^{2} \cos \left(b \,x^{2}+a \right)}{8 b}+\frac{3 \sin \left(b \,x^{2}+a \right)}{8 b^{2}}+\frac{x^{2} \cos \left(3 b \,x^{2}+3 a \right)}{24 b}-\frac{\sin \left(3 b \,x^{2}+3 a \right)}{72 b^{2}}"," ",0,"-3/8*x^2*cos(b*x^2+a)/b+3/8*sin(b*x^2+a)/b^2+1/24/b*x^2*cos(3*b*x^2+3*a)-1/72/b^2*sin(3*b*x^2+3*a)","A"
25,1,26,29,0.082000," ","int(x*sin(b*x^2+a)^3,x)","-\frac{\left(2+\sin^{2}\left(b \,x^{2}+a \right)\right) \cos \left(b \,x^{2}+a \right)}{6 b}"," ",0,"-1/6/b*(2+sin(b*x^2+a)^2)*cos(b*x^2+a)","A"
26,1,125,47,0.423000," ","int(sin(b*x^2+a)^3/x,x)","-\frac{i {\mathrm e}^{3 i a} \Ei \left(1, -3 i b \,x^{2}\right)}{16}+\frac{{\mathrm e}^{-3 i a} \mathrm{csgn}\left(b \,x^{2}\right) \pi}{16}-\frac{{\mathrm e}^{-3 i a} \Si \left(3 b \,x^{2}\right)}{8}+\frac{i \Ei \left(1, -3 i b \,x^{2}\right) {\mathrm e}^{-3 i a}}{16}-\frac{3 \,\mathrm{csgn}\left(b \,x^{2}\right) {\mathrm e}^{-i a} \pi}{16}+\frac{3 \,{\mathrm e}^{-i a} \Si \left(b \,x^{2}\right)}{8}-\frac{3 i {\mathrm e}^{-i a} \Ei \left(1, -i b \,x^{2}\right)}{16}+\frac{3 i {\mathrm e}^{i a} \Ei \left(1, -i b \,x^{2}\right)}{16}"," ",0,"-1/16*I*exp(3*I*a)*Ei(1,-3*I*b*x^2)+1/16*exp(-3*I*a)*csgn(b*x^2)*Pi-1/8*exp(-3*I*a)*Si(3*b*x^2)+1/16*I*Ei(1,-3*I*b*x^2)*exp(-3*I*a)-3/16*csgn(b*x^2)*exp(-I*a)*Pi+3/8*exp(-I*a)*Si(b*x^2)-3/16*I*exp(-I*a)*Ei(1,-I*b*x^2)+3/16*I*exp(I*a)*Ei(1,-I*b*x^2)","C"
27,1,162,80,0.542000," ","int(sin(b*x^2+a)^3/x^3,x)","-\frac{3 i \pi  \,{\mathrm e}^{-3 i a} \mathrm{csgn}\left(b \,x^{2}\right) b}{16}+\frac{3 i {\mathrm e}^{-3 i a} \Si \left(3 b \,x^{2}\right) b}{8}+\frac{3 \,{\mathrm e}^{-3 i a} \Ei \left(1, -3 i b \,x^{2}\right) b}{16}+\frac{3 \,{\mathrm e}^{3 i a} b \Ei \left(1, -3 i b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{i a} b \Ei \left(1, -i b \,x^{2}\right)}{16}+\frac{3 i \pi  \,\mathrm{csgn}\left(b \,x^{2}\right) {\mathrm e}^{-i a} b}{16}-\frac{3 i {\mathrm e}^{-i a} \Si \left(b \,x^{2}\right) b}{8}-\frac{3 \Ei \left(1, -i b \,x^{2}\right) {\mathrm e}^{-i a} b}{16}-\frac{3 \sin \left(b \,x^{2}+a \right)}{8 x^{2}}+\frac{\sin \left(3 b \,x^{2}+3 a \right)}{8 x^{2}}"," ",0,"-3/16*I*Pi*exp(-3*I*a)*csgn(b*x^2)*b+3/8*I*exp(-3*I*a)*Si(3*b*x^2)*b+3/16*exp(-3*I*a)*Ei(1,-3*I*b*x^2)*b+3/16*exp(3*I*a)*b*Ei(1,-3*I*b*x^2)-3/16*exp(I*a)*b*Ei(1,-I*b*x^2)+3/16*I*Pi*csgn(b*x^2)*exp(-I*a)*b-3/8*I*exp(-I*a)*Si(b*x^2)*b-3/16*Ei(1,-I*b*x^2)*exp(-I*a)*b-3/8*sin(b*x^2+a)/x^2+1/8*sin(3*b*x^2+3*a)/x^2","C"
28,1,132,136,0.033000," ","int(x^2*sin(b*x^2+a)^3,x)","-\frac{3 x \cos \left(b \,x^{2}+a \right)}{8 b}+\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{16 b^{\frac{3}{2}}}+\frac{x \cos \left(3 b \,x^{2}+3 a \right)}{24 b}-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \left(\cos \left(3 a \right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)-\sin \left(3 a \right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)\right)}{144 b^{\frac{3}{2}}}"," ",0,"-3/8*x*cos(b*x^2+a)/b+3/16/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(x*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS(x*b^(1/2)*2^(1/2)/Pi^(1/2)))+1/24*x*cos(3*b*x^2+3*a)/b-1/144/b^(3/2)*2^(1/2)*Pi^(1/2)*3^(1/2)*(cos(3*a)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x)-sin(3*a)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x))","A"
29,1,99,105,0.036000," ","int(sin(b*x^2+a)^3,x)","\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(a \right) \FresnelC \left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{8 \sqrt{b}}-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \left(\cos \left(3 a \right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)+\sin \left(3 a \right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)\right)}{24 \sqrt{b}}"," ",0,"3/8*2^(1/2)*Pi^(1/2)/b^(1/2)*(cos(a)*FresnelS(x*b^(1/2)*2^(1/2)/Pi^(1/2))+sin(a)*FresnelC(x*b^(1/2)*2^(1/2)/Pi^(1/2)))-1/24*2^(1/2)*Pi^(1/2)*3^(1/2)/b^(1/2)*(cos(3*a)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x)+sin(3*a)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x))","A"
30,1,130,120,0.031000," ","int(sin(b*x^2+a)^3/x^2,x)","-\frac{3 \sin \left(b \,x^{2}+a \right)}{4 x}+\frac{3 \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{x \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4}+\frac{\sin \left(3 b \,x^{2}+3 a \right)}{4 x}-\frac{\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \left(\cos \left(3 a \right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)-\sin \left(3 a \right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{3}\, \sqrt{b}\, x}{\sqrt{\pi}}\right)\right)}{4}"," ",0,"-3/4/x*sin(b*x^2+a)+3/4*b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(x*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS(x*b^(1/2)*2^(1/2)/Pi^(1/2)))+1/4*sin(3*b*x^2+3*a)/x-1/4*b^(1/2)*2^(1/2)*Pi^(1/2)*3^(1/2)*(cos(3*a)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x)-sin(3*a)*FresnelS(2^(1/2)/Pi^(1/2)*3^(1/2)*b^(1/2)*x))","A"
31,1,58,51,0.036000," ","int(x^2*sin(x^2)^3,x)","-\frac{3 x \cos \left(x^{2}\right)}{8}+\frac{3 \FresnelC \left(\frac{x \sqrt{2}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}}{16}+\frac{x \cos \left(3 x^{2}\right)}{24}-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, x}{\sqrt{\pi}}\right)}{144}"," ",0,"-3/8*x*cos(x^2)+3/16*FresnelC(x*2^(1/2)/Pi^(1/2))*2^(1/2)*Pi^(1/2)+1/24*x*cos(3*x^2)-1/144*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*x)","A"
32,1,78,62,0.068000," ","int(x^4*cos(x^2)*sin(x^2)^2,x)","\frac{x^{3} \sin \left(x^{2}\right)}{8}+\frac{3 x \cos \left(x^{2}\right)}{16}-\frac{3 \FresnelC \left(\frac{x \sqrt{2}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}}{32}-\frac{x^{3} \sin \left(3 x^{2}\right)}{24}-\frac{x \cos \left(3 x^{2}\right)}{48}+\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{3}\, \FresnelC \left(\frac{\sqrt{2}\, \sqrt{3}\, x}{\sqrt{\pi}}\right)}{288}"," ",0,"1/8*x^3*sin(x^2)+3/16*x*cos(x^2)-3/32*FresnelC(x*2^(1/2)/Pi^(1/2))*2^(1/2)*Pi^(1/2)-1/24*x^3*sin(3*x^2)-1/48*x*cos(3*x^2)+1/288*2^(1/2)*Pi^(1/2)*3^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)*3^(1/2)*x)","A"
33,1,50,59,0.079000," ","int(x*sin(b*x^2+a)^7,x)","-\frac{\left(\frac{16}{5}+\sin^{6}\left(b \,x^{2}+a \right)+\frac{6 \left(\sin^{4}\left(b \,x^{2}+a \right)\right)}{5}+\frac{8 \left(\sin^{2}\left(b \,x^{2}+a \right)\right)}{5}\right) \cos \left(b \,x^{2}+a \right)}{14 b}"," ",0,"-1/14/b*(16/5+sin(b*x^2+a)^6+6/5*sin(b*x^2+a)^4+8/5*sin(b*x^2+a)^2)*cos(b*x^2+a)","A"
34,1,39,38,0.050000," ","int((1+sin(x^2))^2/x^3,x)","-\frac{3}{4 x^{2}}+\Ci \left(x^{2}\right)+\frac{\cos \left(2 x^{2}\right)}{4 x^{2}}+\frac{\Si \left(2 x^{2}\right)}{2}-\frac{\sin \left(x^{2}\right)}{x^{2}}"," ",0,"-3/4/x^2+Ci(x^2)+1/4*cos(2*x^2)/x^2+1/2*Si(2*x^2)-sin(x^2)/x^2","A"
35,0,0,312,0.093000," ","int(x^5/(a+b*sin(d*x^2+c)),x)","\int \frac{x^{5}}{a +b \sin \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^5/(a+b*sin(d*x^2+c)),x)","F"
36,0,0,207,0.080000," ","int(x^3/(a+b*sin(d*x^2+c)),x)","\int \frac{x^{3}}{a +b \sin \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^3/(a+b*sin(d*x^2+c)),x)","F"
37,1,48,43,0.050000," ","int(x/(a+b*sin(d*x^2+c)),x)","\frac{\arctan \left(\frac{2 a \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{d \sqrt{a^{2}-b^{2}}}"," ",0,"1/d/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tan(1/2*d*x^2+1/2*c)+2*b)/(a^2-b^2)^(1/2))","A"
38,0,0,20,0.076000," ","int(1/x/(a+b*sin(d*x^2+c)),x)","\int \frac{1}{x \left(a +b \sin \left(d \,x^{2}+c \right)\right)}\, dx"," ",0,"int(1/x/(a+b*sin(d*x^2+c)),x)","F"
39,0,0,20,0.082000," ","int(1/x^3/(a+b*sin(d*x^2+c)),x)","\int \frac{1}{x^{3} \left(a +b \sin \left(d \,x^{2}+c \right)\right)}\, dx"," ",0,"int(1/x^3/(a+b*sin(d*x^2+c)),x)","F"
40,0,0,20,0.075000," ","int(x^2/(a+b*sin(d*x^2+c)),x)","\int \frac{x^{2}}{a +b \sin \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^2/(a+b*sin(d*x^2+c)),x)","F"
41,0,0,16,0.072000," ","int(1/(a+b*sin(d*x^2+c)),x)","\int \frac{1}{a +b \sin \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(1/(a+b*sin(d*x^2+c)),x)","F"
42,0,0,20,0.079000," ","int(1/x^2/(a+b*sin(d*x^2+c)),x)","\int \frac{1}{x^{2} \left(a +b \sin \left(d \,x^{2}+c \right)\right)}\, dx"," ",0,"int(1/x^2/(a+b*sin(d*x^2+c)),x)","F"
43,0,0,586,1.148000," ","int(x^5/(a+b*sin(d*x^2+c))^2,x)","\int \frac{x^{5}}{\left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^5/(a+b*sin(d*x^2+c))^2,x)","F"
44,0,0,282,1.020000," ","int(x^3/(a+b*sin(d*x^2+c))^2,x)","\int \frac{x^{3}}{\left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^3/(a+b*sin(d*x^2+c))^2,x)","F"
45,1,164,84,0.102000," ","int(x/(a+b*sin(d*x^2+c))^2,x)","\frac{b^{2} \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{d \left(\left(\tan^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right) a +2 \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right) b +a \right) a \left(a^{2}-b^{2}\right)}+\frac{b}{d \left(\left(\tan^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right) a +2 \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right) b +a \right) \left(a^{2}-b^{2}\right)}+\frac{a \arctan \left(\frac{2 a \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{d \left(a^{2}-b^{2}\right)^{\frac{3}{2}}}"," ",0,"1/d/(tan(1/2*d*x^2+1/2*c)^2*a+2*tan(1/2*d*x^2+1/2*c)*b+a)*b^2/a/(a^2-b^2)*tan(1/2*d*x^2+1/2*c)+1/d/(tan(1/2*d*x^2+1/2*c)^2*a+2*tan(1/2*d*x^2+1/2*c)*b+a)*b/(a^2-b^2)+1/d*a/(a^2-b^2)^(3/2)*arctan(1/2*(2*a*tan(1/2*d*x^2+1/2*c)+2*b)/(a^2-b^2)^(1/2))","A"
46,0,0,20,0.995000," ","int(1/x/(a+b*sin(d*x^2+c))^2,x)","\int \frac{1}{x \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*sin(d*x^2+c))^2,x)","F"
47,0,0,20,1.214000," ","int(1/x^3/(a+b*sin(d*x^2+c))^2,x)","\int \frac{1}{x^{3} \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^3/(a+b*sin(d*x^2+c))^2,x)","F"
48,0,0,20,0.726000," ","int(x^2/(a+b*sin(d*x^2+c))^2,x)","\int \frac{x^{2}}{\left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*sin(d*x^2+c))^2,x)","F"
49,0,0,16,0.891000," ","int(1/(a+b*sin(d*x^2+c))^2,x)","\int \frac{1}{\left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*sin(d*x^2+c))^2,x)","F"
50,0,0,20,1.095000," ","int(1/x^2/(a+b*sin(d*x^2+c))^2,x)","\int \frac{1}{x^{2} \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*sin(d*x^2+c))^2,x)","F"
51,0,0,22,0.853000," ","int((e*x)^m*(a+b*sin(d*x^2+c))^p,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^2+c))^p,x)","F"
52,0,0,360,0.611000," ","int((e*x)^m*(a+b*sin(d*x^2+c))^3,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{3}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^2+c))^3,x)","F"
53,0,0,227,0.690000," ","int((e*x)^m*(a+b*sin(d*x^2+c))^2,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^2+c))^2,x)","F"
54,0,0,110,0.256000," ","int((e*x)^m*(a+b*sin(d*x^2+c)),x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^2+c)),x)","F"
55,0,0,22,0.161000," ","int((e*x)^m/(a+b*sin(d*x^2+c)),x)","\int \frac{\left(e x \right)^{m}}{a +b \sin \left(d \,x^{2}+c \right)}\, dx"," ",0,"int((e*x)^m/(a+b*sin(d*x^2+c)),x)","F"
56,0,0,22,0.536000," ","int((e*x)^m/(a+b*sin(d*x^2+c))^2,x)","\int \frac{\left(e x \right)^{m}}{\left(a +b \sin \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int((e*x)^m/(a+b*sin(d*x^2+c))^2,x)","F"
57,1,67,38,0.069000," ","int(x^5*(a+b*sin(d*x^3+c)),x)","\frac{x^{6} a \,d^{2}-4 x^{3} b d \left(\cos^{2}\left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)\right)+2 x^{3} b d +4 \sin \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right) b \cos \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)}{6 d^{2}}"," ",0,"1/6*(x^6*a*d^2-4*x^3*b*d*cos(1/2*d*x^3+1/2*c)^2+2*x^3*b*d+4*sin(1/2*d*x^3+1/2*c)*b*cos(1/2*d*x^3+1/2*c))/d^2","A"
58,1,27,21,0.006000," ","int(x^2*(a+b*sin(d*x^3+c)),x)","\frac{a \left(d \,x^{3}+c \right)-b \cos \left(d \,x^{3}+c \right)}{3 d}"," ",0,"1/3/d*(a*(d*x^3+c)-b*cos(d*x^3+c))","A"
59,0,0,27,0.102000," ","int((a+b*sin(d*x^3+c))/x,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x,x)","F"
60,0,0,45,0.135000," ","int((a+b*sin(d*x^3+c))/x^4,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x^{4}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x^4,x)","F"
61,0,0,90,0.119000," ","int(x^4*(a+b*sin(d*x^3+c)),x)","\int x^{4} \left(a +b \sin \left(d \,x^{3}+c \right)\right)\, dx"," ",0,"int(x^4*(a+b*sin(d*x^3+c)),x)","F"
62,0,0,69,0.113000," ","int(x*(a+b*sin(d*x^3+c)),x)","\int x \left(a +b \sin \left(d \,x^{3}+c \right)\right)\, dx"," ",0,"int(x*(a+b*sin(d*x^3+c)),x)","F"
63,0,0,83,0.126000," ","int((a+b*sin(d*x^3+c))/x^2,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x^{2}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x^2,x)","F"
64,0,0,104,0.147000," ","int((a+b*sin(d*x^3+c))/x^5,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x^{5}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x^5,x)","F"
65,0,0,84,0.117000," ","int(x^3*(a+b*sin(d*x^3+c)),x)","\int x^{3} \left(a +b \sin \left(d \,x^{3}+c \right)\right)\, dx"," ",0,"int(x^3*(a+b*sin(d*x^3+c)),x)","F"
66,0,0,62,0.116000," ","int(a+b*sin(d*x^3+c),x)","\int a +b \sin \left(d \,x^{3}+c \right)\, dx"," ",0,"int(a+b*sin(d*x^3+c),x)","F"
67,0,0,79,0.130000," ","int((a+b*sin(d*x^3+c))/x^3,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x^{3}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x^3,x)","F"
68,0,0,100,0.155000," ","int((a+b*sin(d*x^3+c))/x^6,x)","\int \frac{a +b \sin \left(d \,x^{3}+c \right)}{x^{6}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))/x^6,x)","F"
69,1,137,95,0.282000," ","int(x^5*(a+b*sin(d*x^3+c))^2,x)","\frac{a^{2} x^{6}}{6}+\frac{b^{2} x^{6}}{6}-\frac{b^{2} \left(\frac{x^{6}}{6}+\frac{\frac{1}{6 d^{2}}+\frac{x^{3} \tan \left(d \,x^{3}+c \right)}{3 d}}{1+\tan^{2}\left(d \,x^{3}+c \right)}\right)}{2}-\frac{-\frac{8 a b \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)}{3 d^{2}}+\frac{4 a b \,x^{3}}{3 d}-\frac{4 a b \,x^{3} \left(\tan^{2}\left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)\right)}{3 d}}{2 \left(1+\tan^{2}\left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)\right)}"," ",0,"1/6*a^2*x^6+1/6*b^2*x^6-1/2*b^2*(1/6*x^6+(1/6/d^2+1/3*x^3/d*tan(d*x^3+c))/(1+tan(d*x^3+c)^2))-1/2*(-8/3*a*b/d^2*tan(1/2*d*x^3+1/2*c)+4/3/d*a*b*x^3-4/3/d*a*b*x^3*tan(1/2*d*x^3+1/2*c)^2)/(1+tan(1/2*d*x^3+1/2*c)^2)","A"
70,1,62,54,0.053000," ","int(x^2*(a+b*sin(d*x^3+c))^2,x)","\frac{b^{2} \left(-\frac{\cos \left(d \,x^{3}+c \right) \sin \left(d \,x^{3}+c \right)}{2}+\frac{d \,x^{3}}{2}+\frac{c}{2}\right)-2 a b \cos \left(d \,x^{3}+c \right)+a^{2} \left(d \,x^{3}+c \right)}{3 d}"," ",0,"1/3/d*(b^2*(-1/2*cos(d*x^3+c)*sin(d*x^3+c)+1/2*d*x^3+1/2*c)-2*a*b*cos(d*x^3+c)+a^2*(d*x^3+c))","A"
71,0,0,70,0.586000," ","int((a+b*sin(d*x^3+c))^2/x,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x,x)","F"
72,0,0,111,0.666000," ","int((a+b*sin(d*x^3+c))^2/x^4,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x^{4}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x^4,x)","F"
73,0,0,201,0.512000," ","int(x^4*(a+b*sin(d*x^3+c))^2,x)","\int x^{4} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}\, dx"," ",0,"int(x^4*(a+b*sin(d*x^3+c))^2,x)","F"
74,0,0,149,0.515000," ","int(x*(a+b*sin(d*x^3+c))^2,x)","\int x \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}\, dx"," ",0,"int(x*(a+b*sin(d*x^3+c))^2,x)","F"
75,0,0,189,0.628000," ","int((a+b*sin(d*x^3+c))^2/x^2,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x^2,x)","F"
76,0,0,233,0.732000," ","int((a+b*sin(d*x^3+c))^2/x^5,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x^{5}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x^5,x)","F"
77,0,0,189,0.489000," ","int(x^3*(a+b*sin(d*x^3+c))^2,x)","\int x^{3} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}\, dx"," ",0,"int(x^3*(a+b*sin(d*x^3+c))^2,x)","F"
78,0,0,139,0.365000," ","int((a+b*sin(d*x^3+c))^2,x)","\int \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2,x)","F"
79,0,0,181,0.642000," ","int((a+b*sin(d*x^3+c))^2/x^3,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x^{3}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x^3,x)","F"
80,0,0,225,0.644000," ","int((a+b*sin(d*x^3+c))^2/x^6,x)","\int \frac{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}{x^{6}}\, dx"," ",0,"int((a+b*sin(d*x^3+c))^2/x^6,x)","F"
81,0,0,207,0.099000," ","int(x^5/(a+b*sin(d*x^3+c)),x)","\int \frac{x^{5}}{a +b \sin \left(d \,x^{3}+c \right)}\, dx"," ",0,"int(x^5/(a+b*sin(d*x^3+c)),x)","F"
82,1,49,44,0.050000," ","int(x^2/(a+b*sin(d*x^3+c)),x)","\frac{2 \arctan \left(\frac{2 a \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{3 d \sqrt{a^{2}-b^{2}}}"," ",0,"2/3/d/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tan(1/2*d*x^3+1/2*c)+2*b)/(a^2-b^2)^(1/2))","A"
83,0,0,20,0.079000," ","int(1/x/(a+b*sin(d*x^3+c)),x)","\int \frac{1}{x \left(a +b \sin \left(d \,x^{3}+c \right)\right)}\, dx"," ",0,"int(1/x/(a+b*sin(d*x^3+c)),x)","F"
84,0,0,20,0.086000," ","int(1/x^4/(a+b*sin(d*x^3+c)),x)","\int \frac{1}{x^{4} \left(a +b \sin \left(d \,x^{3}+c \right)\right)}\, dx"," ",0,"int(1/x^4/(a+b*sin(d*x^3+c)),x)","F"
85,0,0,18,0.076000," ","int(x/(a+b*sin(d*x^3+c)),x)","\int \frac{x}{a +b \sin \left(d \,x^{3}+c \right)}\, dx"," ",0,"int(x/(a+b*sin(d*x^3+c)),x)","F"
86,0,0,20,0.086000," ","int(1/x^2/(a+b*sin(d*x^3+c)),x)","\int \frac{1}{x^{2} \left(a +b \sin \left(d \,x^{3}+c \right)\right)}\, dx"," ",0,"int(1/x^2/(a+b*sin(d*x^3+c)),x)","F"
87,0,0,16,0.071000," ","int(1/(a+b*sin(d*x^3+c)),x)","\int \frac{1}{a +b \sin \left(d \,x^{3}+c \right)}\, dx"," ",0,"int(1/(a+b*sin(d*x^3+c)),x)","F"
88,0,0,20,0.079000," ","int(1/x^3/(a+b*sin(d*x^3+c)),x)","\int \frac{1}{x^{3} \left(a +b \sin \left(d \,x^{3}+c \right)\right)}\, dx"," ",0,"int(1/x^3/(a+b*sin(d*x^3+c)),x)","F"
89,0,0,282,1.336000," ","int(x^5/(a+b*sin(d*x^3+c))^2,x)","\int \frac{x^{5}}{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(x^5/(a+b*sin(d*x^3+c))^2,x)","F"
90,1,167,85,0.098000," ","int(x^2/(a+b*sin(d*x^3+c))^2,x)","\frac{2 b^{2} \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)}{3 d \left(a \left(\tan^{2}\left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)\right)+2 \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right) b +a \right) a \left(a^{2}-b^{2}\right)}+\frac{2 b}{3 d \left(a \left(\tan^{2}\left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)\right)+2 \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right) b +a \right) \left(a^{2}-b^{2}\right)}+\frac{2 a \arctan \left(\frac{2 a \tan \left(\frac{d \,x^{3}}{2}+\frac{c}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{3 d \left(a^{2}-b^{2}\right)^{\frac{3}{2}}}"," ",0,"2/3/d/(a*tan(1/2*d*x^3+1/2*c)^2+2*tan(1/2*d*x^3+1/2*c)*b+a)*b^2/a/(a^2-b^2)*tan(1/2*d*x^3+1/2*c)+2/3/d/(a*tan(1/2*d*x^3+1/2*c)^2+2*tan(1/2*d*x^3+1/2*c)*b+a)*b/(a^2-b^2)+2/3/d*a/(a^2-b^2)^(3/2)*arctan(1/2*(2*a*tan(1/2*d*x^3+1/2*c)+2*b)/(a^2-b^2)^(1/2))","A"
91,0,0,20,1.092000," ","int(1/x/(a+b*sin(d*x^3+c))^2,x)","\int \frac{1}{x \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*sin(d*x^3+c))^2,x)","F"
92,0,0,20,1.149000," ","int(1/x^4/(a+b*sin(d*x^3+c))^2,x)","\int \frac{1}{x^{4} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^4/(a+b*sin(d*x^3+c))^2,x)","F"
93,0,0,18,1.000000," ","int(x/(a+b*sin(d*x^3+c))^2,x)","\int \frac{x}{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(x/(a+b*sin(d*x^3+c))^2,x)","F"
94,0,0,20,1.247000," ","int(1/x^2/(a+b*sin(d*x^3+c))^2,x)","\int \frac{1}{x^{2} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*sin(d*x^3+c))^2,x)","F"
95,0,0,16,1.027000," ","int(1/(a+b*sin(d*x^3+c))^2,x)","\int \frac{1}{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*sin(d*x^3+c))^2,x)","F"
96,0,0,20,1.096000," ","int(1/x^3/(a+b*sin(d*x^3+c))^2,x)","\int \frac{1}{x^{3} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^3/(a+b*sin(d*x^3+c))^2,x)","F"
97,0,0,22,0.845000," ","int((e*x)^m*(a+b*sin(d*x^3+c))^p,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^3+c))^p,x)","F"
98,0,0,358,0.615000," ","int((e*x)^m*(a+b*sin(d*x^3+c))^3,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{3}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^3+c))^3,x)","F"
99,0,0,229,0.702000," ","int((e*x)^m*(a+b*sin(d*x^3+c))^2,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^3+c))^2,x)","F"
100,0,0,110,0.280000," ","int((e*x)^m*(a+b*sin(d*x^3+c)),x)","\int \left(e x \right)^{m} \left(a +b \sin \left(d \,x^{3}+c \right)\right)\, dx"," ",0,"int((e*x)^m*(a+b*sin(d*x^3+c)),x)","F"
101,0,0,22,0.166000," ","int((e*x)^m/(a+b*sin(d*x^3+c)),x)","\int \frac{\left(e x \right)^{m}}{a +b \sin \left(d \,x^{3}+c \right)}\, dx"," ",0,"int((e*x)^m/(a+b*sin(d*x^3+c)),x)","F"
102,0,0,22,0.542000," ","int((e*x)^m/(a+b*sin(d*x^3+c))^2,x)","\int \frac{\left(e x \right)^{m}}{\left(a +b \sin \left(d \,x^{3}+c \right)\right)^{2}}\, dx"," ",0,"int((e*x)^m/(a+b*sin(d*x^3+c))^2,x)","F"
103,1,73,68,0.033000," ","int(x^2*sin(a+b/x),x)","-b^{3} \left(-\frac{\sin \left(a +\frac{b}{x}\right) x^{3}}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{x}\right) x^{2}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{x}\right) x}{6 b}+\frac{\Si \left(\frac{b}{x}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{x}\right) \cos \left(a \right)}{6}\right)"," ",0,"-b^3*(-1/3*sin(a+b/x)*x^3/b^3-1/6*cos(a+b/x)*x^2/b^2+1/6*sin(a+b/x)*x/b+1/6*Si(b/x)*sin(a)-1/6*Ci(b/x)*cos(a))","A"
104,1,57,52,0.032000," ","int(x*sin(a+b/x),x)","-b^{2} \left(-\frac{\sin \left(a +\frac{b}{x}\right) x^{2}}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{x}\right) x}{2 b}-\frac{\cos \left(a \right) \Si \left(\frac{b}{x}\right)}{2}-\frac{\Ci \left(\frac{b}{x}\right) \sin \left(a \right)}{2}\right)"," ",0,"-b^2*(-1/2*sin(a+b/x)*x^2/b^2-1/2*cos(a+b/x)*x/b-1/2*cos(a)*Si(b/x)-1/2*Ci(b/x)*sin(a))","A"
105,1,38,32,0.031000," ","int(sin(a+b/x),x)","-b \left(-\frac{\sin \left(a +\frac{b}{x}\right) x}{b}-\Si \left(\frac{b}{x}\right) \sin \left(a \right)+\Ci \left(\frac{b}{x}\right) \cos \left(a \right)\right)"," ",0,"-b*(-sin(a+b/x)*x/b-Si(b/x)*sin(a)+Ci(b/x)*cos(a))","A"
106,1,22,21,0.029000," ","int(sin(a+b/x)/x,x)","-\cos \left(a \right) \Si \left(\frac{b}{x}\right)-\Ci \left(\frac{b}{x}\right) \sin \left(a \right)"," ",0,"-cos(a)*Si(b/x)-Ci(b/x)*sin(a)","A"
107,1,13,12,0.009000," ","int(sin(a+b/x)/x^2,x)","\frac{\cos \left(a +\frac{b}{x}\right)}{b}"," ",0,"cos(a+b/x)/b","A"
108,1,42,29,0.028000," ","int(sin(a+b/x)/x^3,x)","-\frac{\sin \left(a +\frac{b}{x}\right)-\left(a +\frac{b}{x}\right) \cos \left(a +\frac{b}{x}\right)+a \cos \left(a +\frac{b}{x}\right)}{b^{2}}"," ",0,"-1/b^2*(sin(a+b/x)-(a+b/x)*cos(a+b/x)+a*cos(a+b/x))","A"
109,1,95,45,0.029000," ","int(sin(a+b/x)/x^4,x)","-\frac{-\left(a +\frac{b}{x}\right)^{2} \cos \left(a +\frac{b}{x}\right)+2 \cos \left(a +\frac{b}{x}\right)+2 \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)-2 a \left(\sin \left(a +\frac{b}{x}\right)-\left(a +\frac{b}{x}\right) \cos \left(a +\frac{b}{x}\right)\right)-a^{2} \cos \left(a +\frac{b}{x}\right)}{b^{3}}"," ",0,"-1/b^3*(-(a+b/x)^2*cos(a+b/x)+2*cos(a+b/x)+2*(a+b/x)*sin(a+b/x)-2*a*(sin(a+b/x)-(a+b/x)*cos(a+b/x))-a^2*cos(a+b/x))","B"
110,1,165,61,0.029000," ","int(sin(a+b/x)/x^5,x)","-\frac{-\left(a +\frac{b}{x}\right)^{3} \cos \left(a +\frac{b}{x}\right)+3 \left(a +\frac{b}{x}\right)^{2} \sin \left(a +\frac{b}{x}\right)-6 \sin \left(a +\frac{b}{x}\right)+6 \left(a +\frac{b}{x}\right) \cos \left(a +\frac{b}{x}\right)-3 a \left(-\left(a +\frac{b}{x}\right)^{2} \cos \left(a +\frac{b}{x}\right)+2 \cos \left(a +\frac{b}{x}\right)+2 \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)\right)+3 a^{2} \left(\sin \left(a +\frac{b}{x}\right)-\left(a +\frac{b}{x}\right) \cos \left(a +\frac{b}{x}\right)\right)+a^{3} \cos \left(a +\frac{b}{x}\right)}{b^{4}}"," ",0,"-1/b^4*(-(a+b/x)^3*cos(a+b/x)+3*(a+b/x)^2*sin(a+b/x)-6*sin(a+b/x)+6*(a+b/x)*cos(a+b/x)-3*a*(-(a+b/x)^2*cos(a+b/x)+2*cos(a+b/x)+2*(a+b/x)*sin(a+b/x))+3*a^2*(sin(a+b/x)-(a+b/x)*cos(a+b/x))+a^3*cos(a+b/x))","B"
111,1,96,88,0.041000," ","int(x^2*sin(a+b/x)^2,x)","-b^{3} \left(-\frac{x^{3}}{6 b^{3}}+\frac{\cos \left(2 a +\frac{2 b}{x}\right) x^{3}}{6 b^{3}}-\frac{\sin \left(2 a +\frac{2 b}{x}\right) x^{2}}{6 b^{2}}-\frac{\cos \left(2 a +\frac{2 b}{x}\right) x}{3 b}-\frac{2 \Si \left(\frac{2 b}{x}\right) \cos \left(2 a \right)}{3}-\frac{2 \Ci \left(\frac{2 b}{x}\right) \sin \left(2 a \right)}{3}\right)"," ",0,"-b^3*(-1/6*x^3/b^3+1/6*cos(2*a+2*b/x)*x^3/b^3-1/6*sin(2*a+2*b/x)*x^2/b^2-1/3*cos(2*a+2*b/x)*x/b-2/3*Si(2*b/x)*cos(2*a)-2/3*Ci(2*b/x)*sin(2*a))","A"
112,1,76,62,0.042000," ","int(x*sin(a+b/x)^2,x)","-b^{2} \left(-\frac{x^{2}}{4 b^{2}}+\frac{\cos \left(2 a +\frac{2 b}{x}\right) x^{2}}{4 b^{2}}-\frac{\sin \left(2 a +\frac{2 b}{x}\right) x}{2 b}-\Si \left(\frac{2 b}{x}\right) \sin \left(2 a \right)+\Ci \left(\frac{2 b}{x}\right) \cos \left(2 a \right)\right)"," ",0,"-b^2*(-1/4*x^2/b^2+1/4*cos(2*a+2*b/x)*x^2/b^2-1/2*sin(2*a+2*b/x)*x/b-Si(2*b/x)*sin(2*a)+Ci(2*b/x)*cos(2*a))","A"
113,1,52,41,0.043000," ","int(sin(a+b/x)^2,x)","-b \left(-\frac{x}{2 b}+\frac{\cos \left(2 a +\frac{2 b}{x}\right) x}{2 b}+\Si \left(\frac{2 b}{x}\right) \cos \left(2 a \right)+\Ci \left(\frac{2 b}{x}\right) \sin \left(2 a \right)\right)"," ",0,"-b*(-1/2*x/b+1/2*cos(2*a+2*b/x)*x/b+Si(2*b/x)*cos(2*a)+Ci(2*b/x)*sin(2*a))","A"
114,1,36,31,0.040000," ","int(sin(a+b/x)^2/x,x)","-\frac{\ln \left(\frac{b}{x}\right)}{2}-\frac{\Si \left(\frac{2 b}{x}\right) \sin \left(2 a \right)}{2}+\frac{\Ci \left(\frac{2 b}{x}\right) \cos \left(2 a \right)}{2}"," ",0,"-1/2*ln(b/x)-1/2*Si(2*b/x)*sin(2*a)+1/2*Ci(2*b/x)*cos(2*a)","A"
115,1,34,27,0.032000," ","int(sin(a+b/x)^2/x^2,x)","-\frac{-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}}{b}"," ",0,"-1/b*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)","A"
116,1,97,45,0.038000," ","int(sin(a+b/x)^2/x^3,x)","-\frac{\left(a +\frac{b}{x}\right) \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{\left(a +\frac{b}{x}\right)^{2}}{4}+\frac{\left(\sin^{2}\left(a +\frac{b}{x}\right)\right)}{4}-a \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)}{b^{2}}"," ",0,"-1/b^2*((a+b/x)*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-1/4*(a+b/x)^2+1/4*sin(a+b/x)^2-a*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x))","B"
117,1,197,77,0.067000," ","int(sin(a+b/x)^2/x^4,x)","-\frac{\left(a +\frac{b}{x}\right)^{2} \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{\left(a +\frac{b}{x}\right) \left(\cos^{2}\left(a +\frac{b}{x}\right)\right)}{2}+\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{4}+\frac{b}{4 x}+\frac{a}{4}-\frac{\left(a +\frac{b}{x}\right)^{3}}{3}-2 a \left(\left(a +\frac{b}{x}\right) \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{\left(a +\frac{b}{x}\right)^{2}}{4}+\frac{\left(\sin^{2}\left(a +\frac{b}{x}\right)\right)}{4}\right)+a^{2} \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)}{b^{3}}"," ",0,"-1/b^3*((a+b/x)^2*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-1/2*(a+b/x)*cos(a+b/x)^2+1/4*cos(a+b/x)*sin(a+b/x)+1/4*b/x+1/4*a-1/3*(a+b/x)^3-2*a*((a+b/x)*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-1/4*(a+b/x)^2+1/4*sin(a+b/x)^2)+a^2*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x))","B"
118,1,334,95,0.079000," ","int(sin(a+b/x)^2/x^5,x)","-\frac{\left(a +\frac{b}{x}\right)^{3} \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{3 \left(a +\frac{b}{x}\right)^{2} \left(\cos^{2}\left(a +\frac{b}{x}\right)\right)}{4}+\frac{3 \left(a +\frac{b}{x}\right) \left(\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{b}{2 x}+\frac{a}{2}\right)}{2}-\frac{3 \left(a +\frac{b}{x}\right)^{2}}{8}-\frac{3 \left(\sin^{2}\left(a +\frac{b}{x}\right)\right)}{8}-\frac{3 \left(a +\frac{b}{x}\right)^{4}}{8}-3 a \left(\left(a +\frac{b}{x}\right)^{2} \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{\left(a +\frac{b}{x}\right) \left(\cos^{2}\left(a +\frac{b}{x}\right)\right)}{2}+\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{4}+\frac{b}{4 x}+\frac{a}{4}-\frac{\left(a +\frac{b}{x}\right)^{3}}{3}\right)+3 a^{2} \left(\left(a +\frac{b}{x}\right) \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)-\frac{\left(a +\frac{b}{x}\right)^{2}}{4}+\frac{\left(\sin^{2}\left(a +\frac{b}{x}\right)\right)}{4}\right)-a^{3} \left(-\frac{\cos \left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)}{2}+\frac{a}{2}+\frac{b}{2 x}\right)}{b^{4}}"," ",0,"-1/b^4*((a+b/x)^3*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-3/4*(a+b/x)^2*cos(a+b/x)^2+3/2*(a+b/x)*(1/2*cos(a+b/x)*sin(a+b/x)+1/2*b/x+1/2*a)-3/8*(a+b/x)^2-3/8*sin(a+b/x)^2-3/8*(a+b/x)^4-3*a*((a+b/x)^2*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-1/2*(a+b/x)*cos(a+b/x)^2+1/4*cos(a+b/x)*sin(a+b/x)+1/4*b/x+1/4*a-1/3*(a+b/x)^3)+3*a^2*((a+b/x)*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x)-1/4*(a+b/x)^2+1/4*sin(a+b/x)^2)-a^3*(-1/2*cos(a+b/x)*sin(a+b/x)+1/2*a+1/2*b/x))","B"
119,1,59,64,0.029000," ","int(sin(a+b/x^2),x)","x \sin \left(a +\frac{b}{x^{2}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)\right)"," ",0,"x*sin(a+b/x^2)-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/x)-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/x))","A"
120,1,22,21,0.026000," ","int(sin(a+b/x^2)/x,x)","-\frac{\cos \left(a \right) \Si \left(\frac{b}{x^{2}}\right)}{2}-\frac{\Ci \left(\frac{b}{x^{2}}\right) \sin \left(a \right)}{2}"," ",0,"-1/2*cos(a)*Si(b/x^2)-1/2*Ci(b/x^2)*sin(a)","A"
121,1,47,55,0.028000," ","int(sin(a+b/x^2)/x^2,x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)+\sin \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)\right)}{2 \sqrt{b}}"," ",0,"-1/2*2^(1/2)*Pi^(1/2)/b^(1/2)*(cos(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/x)+sin(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/x))","A"
122,1,14,13,0.007000," ","int(sin(a+b/x^2)/x^3,x)","\frac{\cos \left(a +\frac{b}{x^{2}}\right)}{2 b}"," ",0,"1/2*cos(a+b/x^2)/b","A"
123,1,65,71,0.030000," ","int(sin(a+b/x^2)/x^4,x)","\frac{\cos \left(a +\frac{b}{x^{2}}\right)}{2 b x}-\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, x}\right)\right)}{4 b^{\frac{3}{2}}}"," ",0,"1/2*cos(a+b/x^2)/b/x-1/4/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/x)-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/x))","A"
124,1,7,6,0.009000," ","int(sin(x^(1/2))/x^(1/2),x)","-2 \cos \left(\sqrt{x}\right)"," ",0,"-2*cos(x^(1/2))","A"
125,1,15,15,0.085000," ","int(sin(x^(1/2))^3/x^(1/2),x)","-\frac{2 \left(2+\sin^{2}\left(\sqrt{x}\right)\right) \cos \left(\sqrt{x}\right)}{3}"," ",0,"-2/3*(2+sin(x^(1/2))^2)*cos(x^(1/2))","A"
126,1,17,16,0.021000," ","int(sin(x^(1/2)),x)","2 \sin \left(\sqrt{x}\right)-2 \cos \left(\sqrt{x}\right) \sqrt{x}"," ",0,"2*sin(x^(1/2))-2*cos(x^(1/2))*x^(1/2)","A"
127,1,52,43,0.059000," ","int(sin(x^(1/3))^2,x)","3 x^{\frac{2}{3}} \left(-\frac{\cos \left(x^{\frac{1}{3}}\right) \sin \left(x^{\frac{1}{3}}\right)}{2}+\frac{x^{\frac{1}{3}}}{2}\right)-\frac{3 x^{\frac{1}{3}} \left(\cos^{2}\left(x^{\frac{1}{3}}\right)\right)}{2}+\frac{3 \cos \left(x^{\frac{1}{3}}\right) \sin \left(x^{\frac{1}{3}}\right)}{4}+\frac{3 x^{\frac{1}{3}}}{4}-x"," ",0,"3*x^(2/3)*(-1/2*cos(x^(1/3))*sin(x^(1/3))+1/2*x^(1/3))-3/2*x^(1/3)*cos(x^(1/3))^2+3/4*cos(x^(1/3))*sin(x^(1/3))+3/4*x^(1/3)-x","A"
128,1,59,59,0.118000," ","int(sin(x^(1/3))^3,x)","-x^{\frac{2}{3}} \left(2+\sin^{2}\left(x^{\frac{1}{3}}\right)\right) \cos \left(x^{\frac{1}{3}}\right)+4 \cos \left(x^{\frac{1}{3}}\right)+4 x^{\frac{1}{3}} \sin \left(x^{\frac{1}{3}}\right)+\frac{2 x^{\frac{1}{3}} \left(\sin^{3}\left(x^{\frac{1}{3}}\right)\right)}{3}+\frac{2 \left(2+\sin^{2}\left(x^{\frac{1}{3}}\right)\right) \cos \left(x^{\frac{1}{3}}\right)}{9}"," ",0,"-x^(2/3)*(2+sin(x^(1/3))^2)*cos(x^(1/3))+4*cos(x^(1/3))+4*x^(1/3)*sin(x^(1/3))+2/3*x^(1/3)*sin(x^(1/3))^3+2/9*(2+sin(x^(1/3))^2)*cos(x^(1/3))","A"
129,0,0,20,1.186000," ","int((e*x)^m*(b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(b*sin(c+d*x^n))^p,x)","F"
130,0,0,22,1.072000," ","int((e*x)^m*(a+b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*sin(c+d*x^n))^p,x)","F"
131,0,0,86,1.427000," ","int((e*x)^(-1+n)*(b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(b*sin(c+d*x^n))^p,x)","F"
132,0,0,40,1.249000," ","int((e*x)^(-1+2*n)*(b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(b*sin(c+d*x^n))^p,x)","F"
133,0,0,118,1.379000," ","int((e*x)^(-1+n)*(a+b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(a +b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(a+b*sin(c+d*x^n))^p,x)","F"
134,0,0,42,1.144000," ","int((e*x)^(-1+2*n)*(a+b*sin(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(a +b \sin \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(a+b*sin(c+d*x^n))^p,x)","F"
135,1,24,25,0.027000," ","int(sin(a+b*x^n)/x,x)","\frac{\Si \left(b \,x^{n}\right) \cos \left(a \right)+\Ci \left(b \,x^{n}\right) \sin \left(a \right)}{n}"," ",0,"1/n*(Si(b*x^n)*cos(a)+Ci(b*x^n)*sin(a))","A"
136,1,45,37,0.041000," ","int(sin(a+b*x^n)^2/x,x)","\frac{\ln \left(b \,x^{n}\right)}{2 n}+\frac{\Si \left(2 b \,x^{n}\right) \sin \left(2 a \right)}{2 n}-\frac{\Ci \left(2 b \,x^{n}\right) \cos \left(2 a \right)}{2 n}"," ",0,"1/2/n*ln(b*x^n)+1/2*Si(2*b*x^n)*sin(2*a)/n-1/2*Ci(2*b*x^n)*cos(2*a)/n","A"
137,1,52,59,0.040000," ","int(sin(a+b*x^n)^3/x,x)","\frac{-\frac{\Si \left(3 b \,x^{n}\right) \cos \left(3 a \right)}{4}-\frac{\Ci \left(3 b \,x^{n}\right) \sin \left(3 a \right)}{4}+\frac{3 \Si \left(b \,x^{n}\right) \cos \left(a \right)}{4}+\frac{3 \Ci \left(b \,x^{n}\right) \sin \left(a \right)}{4}}{n}"," ",0,"1/n*(-1/4*Si(3*b*x^n)*cos(3*a)-1/4*Ci(3*b*x^n)*sin(3*a)+3/4*Si(b*x^n)*cos(a)+3/4*Ci(b*x^n)*sin(a))","A"
138,1,77,69,0.042000," ","int(sin(a+b*x^n)^4/x,x)","\frac{3 \ln \left(b \,x^{n}\right)}{8 n}-\frac{\Si \left(4 b \,x^{n}\right) \sin \left(4 a \right)}{8 n}+\frac{\Ci \left(4 b \,x^{n}\right) \cos \left(4 a \right)}{8 n}+\frac{\Si \left(2 b \,x^{n}\right) \sin \left(2 a \right)}{2 n}-\frac{\Ci \left(2 b \,x^{n}\right) \cos \left(2 a \right)}{2 n}"," ",0,"3/8/n*ln(b*x^n)-1/8*Si(4*b*x^n)*sin(4*a)/n+1/8*Ci(4*b*x^n)*cos(4*a)/n+1/2*Si(2*b*x^n)*sin(2*a)/n-1/2*Ci(2*b*x^n)*cos(2*a)/n","A"
139,1,74,75,0.123000," ","int(sin(a+b*x^n),x)","x \hypergeom \left(\left[\frac{1}{2 n}\right], \left[\frac{1}{2}, 1+\frac{1}{2 n}\right], -\frac{x^{2 n} b^{2}}{4}\right) \sin \left(a \right)+\frac{b \,x^{1+n} \hypergeom \left(\left[\frac{1}{2}+\frac{1}{2 n}\right], \left[\frac{3}{2}, \frac{3}{2}+\frac{1}{2 n}\right], -\frac{x^{2 n} b^{2}}{4}\right) \cos \left(a \right)}{1+n}"," ",0,"x*hypergeom([1/2/n],[1/2,1+1/2/n],-1/4*x^(2*n)*b^2)*sin(a)+b/(1+n)*x^(1+n)*hypergeom([1/2+1/2/n],[3/2,3/2+1/2/n],-1/4*x^(2*n)*b^2)*cos(a)","C"
140,0,0,92,0.230000," ","int(sin(a+b*x^n)^2,x)","\int \sin^{2}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(sin(a+b*x^n)^2,x)","F"
141,0,0,163,0.603000," ","int(sin(a+b*x^n)^3,x)","\int \sin^{3}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(sin(a+b*x^n)^3,x)","F"
142,1,110,99,0.152000," ","int(x^m*sin(a+b*x^n),x)","\frac{x^{1+m} \hypergeom \left(\left[\frac{m}{2 n}+\frac{1}{2 n}\right], \left[\frac{1}{2}, 1+\frac{m}{2 n}+\frac{1}{2 n}\right], -\frac{x^{2 n} b^{2}}{4}\right) \sin \left(a \right)}{1+m}+\frac{b \,x^{n +m +1} \hypergeom \left(\left[\frac{1}{2}+\frac{m}{2 n}+\frac{1}{2 n}\right], \left[\frac{3}{2}, \frac{3}{2}+\frac{m}{2 n}+\frac{1}{2 n}\right], -\frac{x^{2 n} b^{2}}{4}\right) \cos \left(a \right)}{n +m +1}"," ",0,"1/(1+m)*x^(1+m)*hypergeom([1/2/n*m+1/2/n],[1/2,1+1/2/n*m+1/2/n],-1/4*x^(2*n)*b^2)*sin(a)+b/(n+m+1)*x^(n+m+1)*hypergeom([1/2+1/2/n*m+1/2/n],[3/2,3/2+1/2/n*m+1/2/n],-1/4*x^(2*n)*b^2)*cos(a)","C"
143,0,0,135,0.234000," ","int(x^m*sin(a+b*x^n)^2,x)","\int x^{m} \left(\sin^{2}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*sin(a+b*x^n)^2,x)","F"
144,0,0,219,0.478000," ","int(x^m*sin(a+b*x^n)^3,x)","\int x^{m} \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*sin(a+b*x^n)^3,x)","F"
145,1,44,35,0.026000," ","int(x^(-1+2*n)*sin(a+b*x^n),x)","\frac{\sin \left(a +b \,x^{n}\right)-\left(a +b \,x^{n}\right) \cos \left(a +b \,x^{n}\right)+a \cos \left(a +b \,x^{n}\right)}{n \,b^{2}}"," ",0,"1/n/b^2*(sin(a+b*x^n)-(a+b*x^n)*cos(a+b*x^n)+a*cos(a+b*x^n))","A"
146,1,44,34,0.038000," ","int(x^(-1+2*n)*cos(a+b*x^n),x)","\frac{\cos \left(a +b \,x^{n}\right)+\left(a +b \,x^{n}\right) \sin \left(a +b \,x^{n}\right)-a \sin \left(a +b \,x^{n}\right)}{n \,b^{2}}"," ",0,"1/n/b^2*(cos(a+b*x^n)+(a+b*x^n)*sin(a+b*x^n)-a*sin(a+b*x^n))","A"
147,1,44,46,0.034000," ","int(x^(-1-n)*sin(a+b*x^n),x)","\frac{b \left(-\frac{\sin \left(a +b \,x^{n}\right) x^{-n}}{b}-\Si \left(b \,x^{n}\right) \sin \left(a \right)+\Ci \left(b \,x^{n}\right) \cos \left(a \right)\right)}{n}"," ",0,"1/n*b*(-sin(a+b*x^n)/(x^n)/b-Si(b*x^n)*sin(a)+Ci(b*x^n)*cos(a))","A"
148,1,66,64,0.077000," ","int(x^(-1-n)*sin(a+b*x^n)^2,x)","-\frac{x^{-n}}{2 n}-\frac{b \left(-\frac{\cos \left(2 a +2 b \,x^{n}\right) x^{-n}}{2 b}-\Si \left(2 b \,x^{n}\right) \cos \left(2 a \right)-\Ci \left(2 b \,x^{n}\right) \sin \left(2 a \right)\right)}{n}"," ",0,"-1/2/n/(x^n)-1/n*b*(-1/2*cos(2*a+2*b*x^n)/(x^n)/b-Si(2*b*x^n)*cos(2*a)-Ci(2*b*x^n)*sin(2*a))","A"
149,1,99,102,0.052000," ","int(x^(-1-n)*sin(a+b*x^n)^3,x)","\frac{3 b \left(-\frac{\sin \left(a +b \,x^{n}\right) x^{-n}}{b}-\Si \left(b \,x^{n}\right) \sin \left(a \right)+\Ci \left(b \,x^{n}\right) \cos \left(a \right)\right)}{4 n}-\frac{3 b \left(-\frac{\sin \left(3 a +3 b \,x^{n}\right) x^{-n}}{3 b}-\Si \left(3 b \,x^{n}\right) \sin \left(3 a \right)+\Ci \left(3 b \,x^{n}\right) \cos \left(3 a \right)\right)}{4 n}"," ",0,"3/4/n*b*(-sin(a+b*x^n)/(x^n)/b-Si(b*x^n)*sin(a)+Ci(b*x^n)*cos(a))-3/4/n*b*(-1/3*sin(3*a+3*b*x^n)/(x^n)/b-Si(3*b*x^n)*sin(3*a)+Ci(3*b*x^n)*cos(3*a))","A"
150,1,65,72,0.033000," ","int(x^(-1-2*n)*sin(a+b*x^n),x)","\frac{b^{2} \left(-\frac{\sin \left(a +b \,x^{n}\right) x^{-2 n}}{2 b^{2}}-\frac{\cos \left(a +b \,x^{n}\right) x^{-n}}{2 b}-\frac{\Si \left(b \,x^{n}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(b \,x^{n}\right) \sin \left(a \right)}{2}\right)}{n}"," ",0,"1/n*b^2*(-1/2*sin(a+b*x^n)/(x^n)^2/b^2-1/2*cos(a+b*x^n)/(x^n)/b-1/2*Si(b*x^n)*cos(a)-1/2*Ci(b*x^n)*sin(a))","A"
151,1,89,95,0.068000," ","int(x^(-1-2*n)*sin(a+b*x^n)^2,x)","-\frac{x^{-2 n}}{4 n}-\frac{2 b^{2} \left(-\frac{x^{-2 n} \cos \left(2 a +2 b \,x^{n}\right)}{8 b^{2}}+\frac{\sin \left(2 a +2 b \,x^{n}\right) x^{-n}}{4 b}+\frac{\Si \left(2 b \,x^{n}\right) \sin \left(2 a \right)}{2}-\frac{\Ci \left(2 b \,x^{n}\right) \cos \left(2 a \right)}{2}\right)}{n}"," ",0,"-1/4/n/(x^n)^2-2/n*b^2*(-1/8/(x^n)^2/b^2*cos(2*a+2*b*x^n)+1/4*sin(2*a+2*b*x^n)/(x^n)/b+1/2*Si(2*b*x^n)*sin(2*a)-1/2*Ci(2*b*x^n)*cos(2*a))","A"
152,1,144,155,0.053000," ","int(x^(-1-2*n)*sin(a+b*x^n)^3,x)","\frac{3 b^{2} \left(-\frac{\sin \left(a +b \,x^{n}\right) x^{-2 n}}{2 b^{2}}-\frac{\cos \left(a +b \,x^{n}\right) x^{-n}}{2 b}-\frac{\Si \left(b \,x^{n}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(b \,x^{n}\right) \sin \left(a \right)}{2}\right)}{4 n}-\frac{9 b^{2} \left(-\frac{\sin \left(3 a +3 b \,x^{n}\right) x^{-2 n}}{18 b^{2}}-\frac{\cos \left(3 a +3 b \,x^{n}\right) x^{-n}}{6 b}-\frac{\Si \left(3 b \,x^{n}\right) \cos \left(3 a \right)}{2}-\frac{\Ci \left(3 b \,x^{n}\right) \sin \left(3 a \right)}{2}\right)}{4 n}"," ",0,"3/4/n*b^2*(-1/2*sin(a+b*x^n)/(x^n)^2/b^2-1/2*cos(a+b*x^n)/(x^n)/b-1/2*Si(b*x^n)*cos(a)-1/2*Ci(b*x^n)*sin(a))-9/4/n*b^2*(-1/18*sin(3*a+3*b*x^n)/(x^n)^2/b^2-1/6*cos(3*a+3*b*x^n)/(x^n)/b-1/2*Si(3*b*x^n)*cos(3*a)-1/2*Ci(3*b*x^n)*sin(3*a))","A"
153,1,586,194,0.032000," ","int((f*x+e)^3*sin((d*x+c)^2*b),x)","-\frac{f^{3} x^{2} \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{f^{3} c \left(-\frac{x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{\sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{4 d^{2} b \sqrt{d^{2} b}}\right)}{d}+\frac{f^{3} \left(\frac{\sin \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}\right)}{d^{2} b}-\frac{3 e \,f^{2} x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{3 e \,f^{2} c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{3 e \,f^{2} \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{4 d^{2} b \sqrt{d^{2} b}}-\frac{3 e^{2} f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{3 e^{2} f c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e^{3} \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f^3/d^2/b*x^2*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-f^3*c/d*(-1/2/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+1/4/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+f^3/d^2/b*(1/2/d^2/b*sin(b*d^2*x^2+2*b*c*d*x+b*c^2)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))-3/2*e*f^2/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-3*e*f^2*c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+3/4*e*f^2/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-3/2*e^2*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-3/2*e^2*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e^3*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))","B"
154,1,291,127,0.026000," ","int((f*x+e)^2*sin((d*x+c)^2*b),x)","-\frac{f^{2} x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{f^{2} c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{f^{2} \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{4 d^{2} b \sqrt{d^{2} b}}-\frac{e f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{d^{2} b}-\frac{e f c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e^{2} \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f^2/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-f^2*c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+1/4*f^2/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-e*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-e*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e^2*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))","B"
155,1,120,58,0.023000," ","int((f*x+e)*sin((d*x+c)^2*b),x)","-\frac{f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}\right)}{2 d^{2} b}-\frac{f c \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e \,\mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2)-1/2*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))","B"
156,1,42,30,0.021000," ","int(sin((d*x+c)^2*b),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)}{2 \sqrt{d^{2} b}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))","A"
157,0,0,20,0.199000," ","int(sin((d*x+c)^2*b)/(f*x+e),x)","\int \frac{\sin \left(\left(d x +c \right)^{2} b \right)}{f x +e}\, dx"," ",0,"int(sin((d*x+c)^2*b)/(f*x+e),x)","F"
158,0,0,20,0.277000," ","int(sin((d*x+c)^2*b)/(f*x+e)^2,x)","\int \frac{\sin \left(\left(d x +c \right)^{2} b \right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin((d*x+c)^2*b)/(f*x+e)^2,x)","F"
159,1,365,311,0.033000," ","int((f*x+e)^3*sin(b/(d*x+c)^2),x)","\frac{-\left(c^{3} f^{3}-3 c^{2} d e \,f^{2}+3 c \,d^{2} e^{2} f -d^{3} e^{3}\right) \left(d x +c \right) \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)+\left(c^{3} f^{3}-3 c^{2} d e \,f^{2}+3 c \,d^{2} e^{2} f -d^{3} e^{3}\right) \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)-\frac{\left(-3 c^{2} f^{3}+6 c d e \,f^{2}-3 d^{2} e^{2} f \right) \left(d x +c \right)^{2} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}+\frac{\left(-3 c^{2} f^{3}+6 c d e \,f^{2}-3 d^{2} e^{2} f \right) b \Ci \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(3 c \,f^{3}-3 f^{2} e d \right) \left(d x +c \right)^{3} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{3}+\frac{2 \left(3 c \,f^{3}-3 f^{2} e d \right) b \left(-\left(d x +c \right) \cos \left(\frac{b}{\left(d x +c \right)^{2}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)}{3}+\frac{f^{3} \left(d x +c \right)^{4} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{4}-\frac{f^{3} b \left(-\frac{\left(d x +c \right)^{2} \cos \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{b \Si \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}\right)}{2}}{d^{4}}"," ",0,"1/d^4*(-(c^3*f^3-3*c^2*d*e*f^2+3*c*d^2*e^2*f-d^3*e^3)*(d*x+c)*sin(b/(d*x+c)^2)+(c^3*f^3-3*c^2*d*e*f^2+3*c*d^2*e^2*f-d^3*e^3)*b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))-1/2*(-3*c^2*f^3+6*c*d*e*f^2-3*d^2*e^2*f)*(d*x+c)^2*sin(b/(d*x+c)^2)+1/2*(-3*c^2*f^3+6*c*d*e*f^2-3*d^2*e^2*f)*b*Ci(b/(d*x+c)^2)-1/3*(3*c*f^3-3*d*e*f^2)*(d*x+c)^3*sin(b/(d*x+c)^2)+2/3*(3*c*f^3-3*d*e*f^2)*b*(-(d*x+c)*cos(b/(d*x+c)^2)-b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)))+1/4*f^3*(d*x+c)^4*sin(b/(d*x+c)^2)-1/2*f^3*b*(-1/2*(d*x+c)^2*cos(b/(d*x+c)^2)-1/2*b*Si(b/(d*x+c)^2)))","A"
160,1,225,211,0.033000," ","int((f*x+e)^2*sin(b/(d*x+c)^2),x)","-\frac{-\left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \left(d x +c \right) \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)+\left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)-\frac{\left(-2 c \,f^{2}+2 d e f \right) \left(d x +c \right)^{2} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}+\frac{\left(-2 c \,f^{2}+2 d e f \right) b \Ci \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{f^{2} \left(d x +c \right)^{3} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{3}+\frac{2 f^{2} b \left(-\left(d x +c \right) \cos \left(\frac{b}{\left(d x +c \right)^{2}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)}{3}}{d^{3}}"," ",0,"-1/d^3*(-(c^2*f^2-2*c*d*e*f+d^2*e^2)*(d*x+c)*sin(b/(d*x+c)^2)+(c^2*f^2-2*c*d*e*f+d^2*e^2)*b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))-1/2*(-2*c*f^2+2*d*e*f)*(d*x+c)^2*sin(b/(d*x+c)^2)+1/2*(-2*c*f^2+2*d*e*f)*b*Ci(b/(d*x+c)^2)-1/3*f^2*(d*x+c)^3*sin(b/(d*x+c)^2)+2/3*f^2*b*(-(d*x+c)*cos(b/(d*x+c)^2)-b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))))","A"
161,1,101,108,0.032000," ","int((f*x+e)*sin(b/(d*x+c)^2),x)","\frac{-\left(c f -d e \right) \left(d x +c \right) \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)+\left(c f -d e \right) \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)+\frac{f \left(d x +c \right)^{2} \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{f b \Ci \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}}{d^{2}}"," ",0,"1/d^2*(-(c*f-d*e)*(d*x+c)*sin(b/(d*x+c)^2)+(c*f-d*e)*b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))+1/2*f*(d*x+c)^2*sin(b/(d*x+c)^2)-1/2*f*b*Ci(b/(d*x+c)^2))","A"
162,1,52,52,0.028000," ","int(sin(b/(d*x+c)^2),x)","-\frac{-\left(d x +c \right) \sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)+\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)}{d}"," ",0,"-1/d*(-(d*x+c)*sin(b/(d*x+c)^2)+b^(1/2)*2^(1/2)*Pi^(1/2)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)))","A"
163,0,0,20,0.342000," ","int(sin(b/(d*x+c)^2)/(f*x+e),x)","\int \frac{\sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{f x +e}\, dx"," ",0,"int(sin(b/(d*x+c)^2)/(f*x+e),x)","F"
164,0,0,20,0.604000," ","int(sin(b/(d*x+c)^2)/(f*x+e)^2,x)","\int \frac{\sin \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(b/(d*x+c)^2)/(f*x+e)^2,x)","F"
165,1,1248,291,0.032000," ","int((f*x+e)^3*sin(a+(d*x+c)^2*b),x)","-\frac{f^{3} x^{2} \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{f^{3} c \left(-\frac{x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)+\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{4 d^{2} b \sqrt{d^{2} b}}\right)}{d}+\frac{f^{3} \left(\frac{\sin \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)+\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}\right)}{d^{2} b}-\frac{3 f^{2} e x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{3 f^{2} e c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{3 f^{2} e \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)+\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{4 d^{2} b \sqrt{d^{2} b}}-\frac{3 e^{2} f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{3 e^{2} f c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e^{3} \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f^3/d^2/b*x^2*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-f^3*c/d*(-1/2/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))))+1/4/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))))+f^3/d^2/b*(1/2/d^2/b*sin(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))))-3/2*f^2*e/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-3*f^2*e*c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))))+3/4*f^2*e/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))-3/2*e^2*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-3/2*e^2*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e^3*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))","B"
166,1,669,212,0.034000," ","int((f*x+e)^2*sin(a+(d*x+c)^2*b),x)","-\frac{f^{2} x \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{f^{2} c \left(-\frac{\cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}\right)}{d}+\frac{f^{2} \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)+\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{4 d^{2} b \sqrt{d^{2} b}}-\frac{e f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{d^{2} b}-\frac{e f c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e^{2} \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f^2/d^2/b*x*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-f^2*c/d*(-1/2/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-1/2*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))))+1/4*f^2/d^2/b*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))+sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))-e*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-e*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e^2*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))","B"
167,1,309,102,0.028000," ","int((f*x+e)*sin(a+(d*x+c)^2*b),x)","-\frac{f \cos \left(d^{2} x^{2} b +2 c d x b +b \,c^{2}+a \right)}{2 d^{2} b}-\frac{f c \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 d \sqrt{d^{2} b}}+\frac{\sqrt{2}\, \sqrt{\pi}\, e \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 \sqrt{d^{2} b}}"," ",0,"-1/2*f/d^2/b*cos(b*d^2*x^2+2*b*c*d*x+b*c^2+a)-1/2*f*c/d*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))+1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*e*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))","B"
168,1,136,65,0.026000," ","int(sin(a+(d*x+c)^2*b),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)-\sin \left(\frac{b^{2} c^{2} d^{2}-d^{2} b \left(b \,c^{2}+a \right)}{d^{2} b}\right) \FresnelC \left(\frac{\sqrt{2}\, \left(b \,d^{2} x +b c d \right)}{\sqrt{\pi}\, \sqrt{d^{2} b}}\right)\right)}{2 \sqrt{d^{2} b}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/(d^2*b)^(1/2)*(cos((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelS(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d))-sin((b^2*c^2*d^2-d^2*b*(b*c^2+a))/d^2/b)*FresnelC(2^(1/2)/Pi^(1/2)/(d^2*b)^(1/2)*(b*d^2*x+b*c*d)))","B"
169,0,0,22,0.192000," ","int(sin(a+(d*x+c)^2*b)/(f*x+e),x)","\int \frac{\sin \left(a +\left(d x +c \right)^{2} b \right)}{f x +e}\, dx"," ",0,"int(sin(a+(d*x+c)^2*b)/(f*x+e),x)","F"
170,0,0,22,0.291000," ","int(sin(a+(d*x+c)^2*b)/(f*x+e)^2,x)","\int \frac{\sin \left(a +\left(d x +c \right)^{2} b \right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+(d*x+c)^2*b)/(f*x+e)^2,x)","F"
171,0,0,374,0.279000," ","int((f*x+e)^3*sin(a+(d*x+c)^3*b),x)","\int \left(f x +e \right)^{3} \sin \left(a +\left(d x +c \right)^{3} b \right)\, dx"," ",0,"int((f*x+e)^3*sin(a+(d*x+c)^3*b),x)","F"
172,0,0,238,0.218000," ","int((f*x+e)^2*sin(a+(d*x+c)^3*b),x)","\int \left(f x +e \right)^{2} \sin \left(a +\left(d x +c \right)^{3} b \right)\, dx"," ",0,"int((f*x+e)^2*sin(a+(d*x+c)^3*b),x)","F"
173,0,0,195,0.188000," ","int((f*x+e)*sin(a+(d*x+c)^3*b),x)","\int \left(f x +e \right) \sin \left(a +\left(d x +c \right)^{3} b \right)\, dx"," ",0,"int((f*x+e)*sin(a+(d*x+c)^3*b),x)","F"
174,0,0,87,0.123000," ","int(sin(a+(d*x+c)^3*b),x)","\int \sin \left(a +\left(d x +c \right)^{3} b \right)\, dx"," ",0,"int(sin(a+(d*x+c)^3*b),x)","F"
175,0,0,22,0.174000," ","int(sin(a+(d*x+c)^3*b)/(f*x+e),x)","\int \frac{\sin \left(a +\left(d x +c \right)^{3} b \right)}{f x +e}\, dx"," ",0,"int(sin(a+(d*x+c)^3*b)/(f*x+e),x)","F"
176,0,0,22,0.242000," ","int(sin(a+(d*x+c)^3*b)/(f*x+e)^2,x)","\int \frac{\sin \left(a +\left(d x +c \right)^{3} b \right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+(d*x+c)^3*b)/(f*x+e)^2,x)","F"
177,1,302,331,0.038000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^2),x)","-\frac{-\left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)+\left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)-\frac{\left(-2 c \,f^{2}+2 d e f \right) \left(d x +c \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)}{2}+\left(-2 c \,f^{2}+2 d e f \right) b \left(\frac{\cos \left(a \right) \Ci \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\sin \left(a \right) \Si \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}\right)-\frac{f^{2} \left(d x +c \right)^{3} \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)}{3}+\frac{2 f^{2} b \left(-\left(d x +c \right) \cos \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)+\sin \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)\right)}{3}}{d^{3}}"," ",0,"-1/d^3*(-(c^2*f^2-2*c*d*e*f+d^2*e^2)*(d*x+c)*sin(a+b/(d*x+c)^2)+(c^2*f^2-2*c*d*e*f+d^2*e^2)*b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)))-1/2*(-2*c*f^2+2*d*e*f)*(d*x+c)^2*sin(a+b/(d*x+c)^2)+(-2*c*f^2+2*d*e*f)*b*(1/2*cos(a)*Ci(b/(d*x+c)^2)-1/2*sin(a)*Si(b/(d*x+c)^2))-1/3*f^2*(d*x+c)^3*sin(a+b/(d*x+c)^2)+2/3*f^2*b*(-(d*x+c)*cos(a+b/(d*x+c)^2)-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))+sin(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)))))","A"
178,1,150,176,0.036000," ","int((f*x+e)*sin(a+b/(d*x+c)^2),x)","\frac{-\left(c f -d e \right) \left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)+\left(c f -d e \right) \sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)+\frac{f \left(d x +c \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-f b \left(\frac{\cos \left(a \right) \Ci \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\sin \left(a \right) \Si \left(\frac{b}{\left(d x +c \right)^{2}}\right)}{2}\right)}{d^{2}}"," ",0,"1/d^2*(-(c*f-d*e)*(d*x+c)*sin(a+b/(d*x+c)^2)+(c*f-d*e)*b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)))+1/2*f*(d*x+c)^2*sin(a+b/(d*x+c)^2)-f*b*(1/2*cos(a)*Ci(b/(d*x+c)^2)-1/2*sin(a)*Si(b/(d*x+c)^2)))","A"
179,1,80,89,0.040000," ","int(sin(a+b/(d*x+c)^2),x)","-\frac{-\left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)+\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)}\right)\right)}{d}"," ",0,"-1/d*(-(d*x+c)*sin(a+b/(d*x+c)^2)+b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c))))","A"
180,0,0,22,0.385000," ","int(sin(a+b/(d*x+c)^2)/(f*x+e),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b/(d*x+c)^2)/(f*x+e),x)","F"
181,0,0,22,0.521000," ","int(sin(a+b/(d*x+c)^2)/(f*x+e)^2,x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{2}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^2)/(f*x+e)^2,x)","F"
182,0,0,284,0.440000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^3),x)","\int \left(f x +e \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{3}}\right)\, dx"," ",0,"int((f*x+e)^2*sin(a+b/(d*x+c)^3),x)","F"
183,0,0,195,0.385000," ","int((f*x+e)*sin(a+b/(d*x+c)^3),x)","\int \left(f x +e \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{3}}\right)\, dx"," ",0,"int((f*x+e)*sin(a+b/(d*x+c)^3),x)","F"
184,0,0,87,0.213000," ","int(sin(a+b/(d*x+c)^3),x)","\int \sin \left(a +\frac{b}{\left(d x +c \right)^{3}}\right)\, dx"," ",0,"int(sin(a+b/(d*x+c)^3),x)","F"
185,0,0,22,0.395000," ","int(sin(a+b/(d*x+c)^3)/(f*x+e),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{3}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b/(d*x+c)^3)/(f*x+e),x)","F"
186,0,0,22,0.517000," ","int(sin(a+b/(d*x+c)^3)/(f*x+e)^2,x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{3}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^3)/(f*x+e)^2,x)","F"
187,1,1246,374,0.031000," ","int((f*x+e)^2*sin(a+b*(d*x+c)^(1/2)),x)","\frac{2 c^{2} f^{2} \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)-4 c d e f \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)+2 d^{2} e^{2} \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)+2 a \,c^{2} f^{2} \cos \left(a +b \sqrt{d x +c}\right)-4 a c d e f \cos \left(a +b \sqrt{d x +c}\right)+2 a \,d^{2} e^{2} \cos \left(a +b \sqrt{d x +c}\right)-\frac{4 c \,f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-6 \sin \left(a +b \sqrt{d x +c}\right)+6 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{4 d e f \left(-\left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-6 \sin \left(a +b \sqrt{d x +c}\right)+6 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{12 a c \,f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right)+2 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{12 a d e f \left(-\left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right)+2 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{12 a^{2} c \,f^{2} \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{12 a^{2} d e f \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{4 a^{3} c \,f^{2} \cos \left(a +b \sqrt{d x +c}\right)}{b^{2}}+\frac{4 a^{3} d e f \cos \left(a +b \sqrt{d x +c}\right)}{b^{2}}+\frac{2 f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{5} \cos \left(a +b \sqrt{d x +c}\right)+5 \left(a +b \sqrt{d x +c}\right)^{4} \sin \left(a +b \sqrt{d x +c}\right)+20 \left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)-60 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)+120 \sin \left(a +b \sqrt{d x +c}\right)-120 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{10 a \,f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{4} \cos \left(a +b \sqrt{d x +c}\right)+4 \left(a +b \sqrt{d x +c}\right)^{3} \sin \left(a +b \sqrt{d x +c}\right)+12 \left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)-24 \cos \left(a +b \sqrt{d x +c}\right)-24 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{20 a^{2} f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-6 \sin \left(a +b \sqrt{d x +c}\right)+6 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{20 a^{3} f^{2} \left(-\left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right)+2 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{10 a^{4} f^{2} \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{2 a^{5} f^{2} \cos \left(a +b \sqrt{d x +c}\right)}{b^{4}}}{d^{3} b^{2}}"," ",0,"2/d^3/b^2*(c^2*f^2*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-2*c*d*e*f*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+d^2*e^2*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+a*c^2*f^2*cos(a+b*(d*x+c)^(1/2))-2*a*c*d*e*f*cos(a+b*(d*x+c)^(1/2))+a*d^2*e^2*cos(a+b*(d*x+c)^(1/2))-2/b^2*c*f^2*(-(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-6*sin(a+b*(d*x+c)^(1/2))+6*(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+2/b^2*d*e*f*(-(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-6*sin(a+b*(d*x+c)^(1/2))+6*(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+6/b^2*a*c*f^2*(-(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))+2*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-6/b^2*a*d*e*f*(-(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))+2*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-6/b^2*a^2*c*f^2*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+6/b^2*a^2*d*e*f*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-2/b^2*a^3*c*f^2*cos(a+b*(d*x+c)^(1/2))+2/b^2*a^3*d*e*f*cos(a+b*(d*x+c)^(1/2))+1/b^4*f^2*(-(a+b*(d*x+c)^(1/2))^5*cos(a+b*(d*x+c)^(1/2))+5*(a+b*(d*x+c)^(1/2))^4*sin(a+b*(d*x+c)^(1/2))+20*(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))-60*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))+120*sin(a+b*(d*x+c)^(1/2))-120*(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-5/b^4*a*f^2*(-(a+b*(d*x+c)^(1/2))^4*cos(a+b*(d*x+c)^(1/2))+4*(a+b*(d*x+c)^(1/2))^3*sin(a+b*(d*x+c)^(1/2))+12*(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))-24*cos(a+b*(d*x+c)^(1/2))-24*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+10/b^4*a^2*f^2*(-(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-6*sin(a+b*(d*x+c)^(1/2))+6*(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-10/b^4*a^3*f^2*(-(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))+2*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+5/b^4*a^4*f^2*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+1/b^4*a^5*f^2*cos(a+b*(d*x+c)^(1/2)))","B"
188,1,366,167,0.027000," ","int((f*x+e)*sin(a+b*(d*x+c)^(1/2)),x)","\frac{-2 c f \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)+2 d e \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)-2 a c f \cos \left(a +b \sqrt{d x +c}\right)+2 a d e \cos \left(a +b \sqrt{d x +c}\right)+\frac{2 f \left(-\left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-6 \sin \left(a +b \sqrt{d x +c}\right)+6 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{6 a f \left(-\left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right)+2 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{6 a^{2} f \left(\sin \left(a +b \sqrt{d x +c}\right)-\left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{2 a^{3} f \cos \left(a +b \sqrt{d x +c}\right)}{b^{2}}}{d^{2} b^{2}}"," ",0,"2/d^2/b^2*(-c*f*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+d*e*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-a*c*f*cos(a+b*(d*x+c)^(1/2))+a*d*e*cos(a+b*(d*x+c)^(1/2))+1/b^2*f*(-(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-6*sin(a+b*(d*x+c)^(1/2))+6*(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))-3/b^2*a*f*(-(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))+2*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+3/b^2*a^2*f*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2)))+1/b^2*a^3*f*cos(a+b*(d*x+c)^(1/2)))","B"
189,1,61,48,0.026000," ","int(sin(a+b*(d*x+c)^(1/2)),x)","\frac{2 \sin \left(a +b \sqrt{d x +c}\right)-2 \left(a +b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{d x +c}\right)+2 a \cos \left(a +b \sqrt{d x +c}\right)}{b^{2} d}"," ",0,"2/d/b^2*(sin(a+b*(d*x+c)^(1/2))-(a+b*(d*x+c)^(1/2))*cos(a+b*(d*x+c)^(1/2))+a*cos(a+b*(d*x+c)^(1/2)))","A"
190,1,785,197,0.045000," ","int(sin(a+b*(d*x+c)^(1/2))/(f*x+e),x)","\frac{\frac{\left(a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) b^{2} \left(\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{f^{2} \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}-\frac{\left(-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) b^{2} \left(\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)-\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{f^{2} \left(-\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}-2 a \,b^{2} \left(\frac{\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{2 \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right) f}+\frac{\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)-\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{2 \left(-\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right) f}\right)}{b^{2}}"," ",0,"2/b^2*(1/2*(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f^2*b^2/((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))-1/2*(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f^2*b^2/(-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)-Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))-a*b^2*(1/2/((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)/f*(Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))+1/2/(-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)/f*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)-Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))))","B"
191,1,1817,273,0.080000," ","int(sin(a+b*(d*x+c)^(1/2))/(f*x+e)^2,x)","\frac{2 d \left(\frac{\sin \left(a +b \sqrt{d x +c}\right) \left(-\frac{a \,b^{2} \left(a +b \sqrt{d x +c}\right)}{2 \left(c f -d e \right)}+\frac{b^{2} \left(-c f \,b^{2}+d e \,b^{2}+a^{2} f \right)}{2 \left(c f -d e \right) f}\right)}{-c f \,b^{2}+d e \,b^{2}+\left(a +b \sqrt{d x +c}\right)^{2} f -2 \left(a +b \sqrt{d x +c}\right) a f +a^{2} f}-\frac{a \,b^{2} \left(\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{4 \left(c f -d e \right) f \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}-\frac{a \,b^{2} \left(\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)-\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{4 \left(c f -d e \right) f \left(-\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}+\frac{b^{2} \left(c f \,b^{2}-d e \,b^{2}+\left(a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a -a^{2} f \right) \left(-\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{4 \left(c f -d e \right) f^{2} \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}+\frac{b^{2} \left(c f \,b^{2}-d e \,b^{2}-\left(-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a -a^{2} f \right) \left(\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)\right)}{4 \left(c f -d e \right) f^{2} \left(-\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}-a \,b^{4} \left(\frac{\sin \left(a +b \sqrt{d x +c}\right) \left(-\frac{a +b \sqrt{d x +c}}{2 b^{2} \left(c f -d e \right)}+\frac{a}{2 b^{2} \left(c f -d e \right)}\right)}{-c f \,b^{2}+d e \,b^{2}+\left(a +b \sqrt{d x +c}\right)^{2} f -2 \left(a +b \sqrt{d x +c}\right) a f +a^{2} f}-\frac{\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{4 b^{2} \left(c f -d e \right) f \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}-\frac{\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)-\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{4 b^{2} \left(c f -d e \right) f \left(-\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}-a \right)}+\frac{-\Si \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a -\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{4 b^{2} f \left(c f -d e \right)}+\frac{\Si \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \sin \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)+\Ci \left(b \sqrt{d x +c}+a +\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right) \cos \left(\frac{-a f +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{f}\right)}{4 b^{2} f \left(c f -d e \right)}\right)\right)}{b^{2}}"," ",0,"2*d/b^2*(sin(a+b*(d*x+c)^(1/2))*(-1/2*a*b^2/(c*f-d*e)*(a+b*(d*x+c)^(1/2))+1/2*b^2*(-b^2*c*f+b^2*d*e+a^2*f)/(c*f-d*e)/f)/(-c*f*b^2+d*e*b^2+(a+b*(d*x+c)^(1/2))^2*f-2*(a+b*(d*x+c)^(1/2))*a*f+a^2*f)-1/4*a*b^2/(c*f-d*e)/f/((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))-1/4*a*b^2/(c*f-d*e)/f/(-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)-Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))+1/4*b^2*(c*f*b^2-d*e*b^2+(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))*a-a^2*f)/(c*f-d*e)/f^2/((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(-Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))+1/4*b^2*(c*f*b^2-d*e*b^2-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))*a-a^2*f)/(c*f-d*e)/f^2/(-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))-a*b^4*(sin(a+b*(d*x+c)^(1/2))*(-1/2/b^2/(c*f-d*e)*(a+b*(d*x+c)^(1/2))+1/2*a/b^2/(c*f-d*e))/(-c*f*b^2+d*e*b^2+(a+b*(d*x+c)^(1/2))^2*f-2*(a+b*(d*x+c)^(1/2))*a*f+a^2*f)-1/4/b^2/(c*f-d*e)/f/((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))-1/4/b^2/(c*f-d*e)/f/(-(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f-a)*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)-Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))+1/4/b^2/f/(c*f-d*e)*(-Si(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a-(a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))+1/4/b^2/f/(c*f-d*e)*(Si(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*sin((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)+Ci(b*(d*x+c)^(1/2)+a+(-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f)*cos((-a*f+(b^2*c*f^2-b^2*d*e*f)^(1/2))/f))))","B"
192,0,0,308,0.074000," ","int((f*x+e)^2*sin(a+b*(d*x+c)^(3/2)),x)","\int \left(f x +e \right)^{2} \sin \left(a +b \left(d x +c \right)^{\frac{3}{2}}\right)\, dx"," ",0,"int((f*x+e)^2*sin(a+b*(d*x+c)^(3/2)),x)","F"
193,0,0,227,0.037000," ","int((f*x+e)*sin(a+b*(d*x+c)^(3/2)),x)","\int \left(f x +e \right) \sin \left(a +b \left(d x +c \right)^{\frac{3}{2}}\right)\, dx"," ",0,"int((f*x+e)*sin(a+b*(d*x+c)^(3/2)),x)","F"
194,0,0,87,0.025000," ","int(sin(a+b*(d*x+c)^(3/2)),x)","\int \sin \left(a +b \left(d x +c \right)^{\frac{3}{2}}\right)\, dx"," ",0,"int(sin(a+b*(d*x+c)^(3/2)),x)","F"
195,0,0,22,0.078000," ","int(sin(a+b*(d*x+c)^(3/2))/(f*x+e),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{3}{2}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(3/2))/(f*x+e),x)","F"
196,0,0,22,0.072000," ","int(sin(a+b*(d*x+c)^(3/2))/(f*x+e)^2,x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{3}{2}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(3/2))/(f*x+e)^2,x)","F"
197,1,696,537,0.084000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^(1/2)),x)","-\frac{2 b^{2} \left(d^{2} e^{2} \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)+c^{2} f^{2} \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)-2 c d e f \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)+b^{4} f^{2} \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{3}}{6 b^{6}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{\frac{5}{2}}}{30 b^{5}}+\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{2}}{120 b^{4}}+\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{\frac{3}{2}}}{360 b^{3}}-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{720 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{720 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{720}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{720}\right)+2 b^{2} d e f \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{2}}{4 b^{4}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{\frac{3}{2}}}{12 b^{3}}+\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{24 b^{2}}+\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{24 b}+\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{24}+\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{24}\right)-2 b^{2} c \,f^{2} \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{2}}{4 b^{4}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{\frac{3}{2}}}{12 b^{3}}+\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{24 b^{2}}+\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{24 b}+\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{24}+\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{24}\right)\right)}{d^{3}}"," ",0,"-2/d^3*b^2*(d^2*e^2*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))+c^2*f^2*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))-2*c*d*e*f*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))+b^4*f^2*(-1/6*sin(a+b/(d*x+c)^(1/2))*(d*x+c)^3/b^6-1/30*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(5/2)/b^5+1/120*sin(a+b/(d*x+c)^(1/2))*(d*x+c)^2/b^4+1/360*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(3/2)/b^3-1/720*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/720*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/720*Si(b/(d*x+c)^(1/2))*cos(a)-1/720*Ci(b/(d*x+c)^(1/2))*sin(a))+2*b^2*d*e*f*(-1/4*sin(a+b/(d*x+c)^(1/2))*(d*x+c)^2/b^4-1/12*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(3/2)/b^3+1/24*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2+1/24*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b+1/24*Si(b/(d*x+c)^(1/2))*cos(a)+1/24*Ci(b/(d*x+c)^(1/2))*sin(a))-2*b^2*c*f^2*(-1/4*sin(a+b/(d*x+c)^(1/2))*(d*x+c)^2/b^4-1/12*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(3/2)/b^3+1/24*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2+1/24*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b+1/24*Si(b/(d*x+c)^(1/2))*cos(a)+1/24*Ci(b/(d*x+c)^(1/2))*sin(a)))","A"
198,1,295,263,0.053000," ","int((f*x+e)*sin(a+b/(d*x+c)^(1/2)),x)","-\frac{2 b^{2} \left(-c f \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)+d e \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)+b^{2} f \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{2}}{4 b^{4}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)^{\frac{3}{2}}}{12 b^{3}}+\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{24 b^{2}}+\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{24 b}+\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{24}+\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{24}\right)\right)}{d^{2}}"," ",0,"-2/d^2*b^2*(-c*f*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))+d*e*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))+b^2*f*(-1/4*sin(a+b/(d*x+c)^(1/2))*(d*x+c)^2/b^4-1/12*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(3/2)/b^3+1/24*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2+1/24*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b+1/24*Si(b/(d*x+c)^(1/2))*cos(a)+1/24*Ci(b/(d*x+c)^(1/2))*sin(a)))","A"
199,1,84,84,0.039000," ","int(sin(a+b/(d*x+c)^(1/2)),x)","-\frac{2 b^{2} \left(-\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(d x +c \right)}{2 b^{2}}-\frac{\cos \left(a +\frac{b}{\sqrt{d x +c}}\right) \sqrt{d x +c}}{2 b}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)}{2}-\frac{\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{2}\right)}{d}"," ",0,"-2/d*b^2*(-1/2*sin(a+b/(d*x+c)^(1/2))*(d*x+c)/b^2-1/2*cos(a+b/(d*x+c)^(1/2))*(d*x+c)^(1/2)/b-1/2*Si(b/(d*x+c)^(1/2))*cos(a)-1/2*Ci(b/(d*x+c)^(1/2))*sin(a))","A"
200,1,438,232,0.055000," ","int(sin(a+b/(d*x+c)^(1/2))/(f*x+e),x)","-2 b^{2} \left(\frac{\Si \left(\frac{b}{\sqrt{d x +c}}\right) \cos \left(a \right)+\Ci \left(\frac{b}{\sqrt{d x +c}}\right) \sin \left(a \right)}{b^{2} f}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{2 b^{2} f}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)-\Ci \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{2 b^{2} f}\right)"," ",0,"-2*b^2*(1/b^2/f*(Si(b/(d*x+c)^(1/2))*cos(a)+Ci(b/(d*x+c)^(1/2))*sin(a))-1/2/b^2/f*(Si(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))-1/2/b^2/f*(Si(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))-Ci(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))))","A"
201,1,2724,284,0.089000," ","int(sin(a+b/(d*x+c)^(1/2))/(f*x+e)^2,x)","-2 d \,b^{2} \left(\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(-\frac{a \left(a +\frac{b}{\sqrt{d x +c}}\right)}{2 b^{2} f}+\frac{a^{2} c f -a^{2} d e -b^{2} f}{2 b^{2} f \left(c f -d e \right)}\right)}{c f \left(a +\frac{b}{\sqrt{d x +c}}\right)^{2}-d e \left(a +\frac{b}{\sqrt{d x +c}}\right)^{2}-2 \left(a +\frac{b}{\sqrt{d x +c}}\right) a c f +2 \left(a +\frac{b}{\sqrt{d x +c}}\right) a d e +a^{2} c f -a^{2} d e -b^{2} f}-\frac{a \left(\Si \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)\right)}{4 b^{2} f \left(\frac{\left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}-\frac{e \left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}-\frac{a \left(\Si \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)-\Ci \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)\right)}{4 b^{2} f \left(-\frac{\left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}+\frac{e \left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}+\frac{\left(\frac{\left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a c f}{c f -d e}-\frac{\left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a d e}{c f -d e}-a^{2} c f +a^{2} d e +b^{2} f \right) \left(-\Si \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)\right)}{4 b^{2} f \left(c f -d e \right) \left(\frac{\left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}-\frac{e \left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}+\frac{\left(-\frac{\left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a c f}{c f -d e}+\frac{\left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) a d e}{c f -d e}-a^{2} c f +a^{2} d e +b^{2} f \right) \left(\Si \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)\right)}{4 b^{2} f \left(c f -d e \right) \left(-\frac{\left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}+\frac{e \left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}-a \left(\frac{\sin \left(a +\frac{b}{\sqrt{d x +c}}\right) \left(-\frac{a +\frac{b}{\sqrt{d x +c}}}{2 b^{2} f}+\frac{a}{2 b^{2} f}\right)}{c f \left(a +\frac{b}{\sqrt{d x +c}}\right)^{2}-d e \left(a +\frac{b}{\sqrt{d x +c}}\right)^{2}-2 \left(a +\frac{b}{\sqrt{d x +c}}\right) a c f +2 \left(a +\frac{b}{\sqrt{d x +c}}\right) a d e +a^{2} c f -a^{2} d e -b^{2} f}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{4 b^{2} f \left(\frac{\left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}-\frac{e \left(a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}-\frac{\Si \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)-\Ci \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{4 b^{2} f \left(-\frac{\left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) c f}{c f -d e}+\frac{e \left(-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}\right) d}{c f -d e}-a c f +a d e \right)}+\frac{-\Si \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a -\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{a c f -a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{4 b^{2} f \left(c f -d e \right)}+\frac{\Si \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \sin \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)+\Ci \left(\frac{b}{\sqrt{d x +c}}+a +\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right) \cos \left(\frac{-a c f +a d e +\sqrt{b^{2} c \,f^{2}-b^{2} d e f}}{c f -d e}\right)}{4 b^{2} f \left(c f -d e \right)}\right)\right)"," ",0,"-2*d*b^2*(sin(a+b/(d*x+c)^(1/2))*(-1/2*a/b^2/f*(a+b/(d*x+c)^(1/2))+1/2*(a^2*c*f-a^2*d*e-b^2*f)/b^2/f/(c*f-d*e))/(c*f*(a+b/(d*x+c)^(1/2))^2-d*e*(a+b/(d*x+c)^(1/2))^2-2*(a+b/(d*x+c)^(1/2))*a*c*f+2*(a+b/(d*x+c)^(1/2))*a*d*e+a^2*c*f-a^2*d*e-b^2*f)-1/4*a/b^2/f/((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f-e*(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(Si(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))-1/4*a/b^2/f/(-(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f+e*(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(Si(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))-Ci(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))+1/4*((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*a*c*f-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*a*d*e-a^2*c*f+a^2*d*e+b^2*f)/b^2/f/(c*f-d*e)/((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f-e*(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(-Si(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))+1/4*(-(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*a*c*f+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*a*d*e-a^2*c*f+a^2*d*e+b^2*f)/b^2/f/(c*f-d*e)/(-(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f+e*(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(Si(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))-a*(sin(a+b/(d*x+c)^(1/2))*(-1/2/b^2/f*(a+b/(d*x+c)^(1/2))+1/2*a/b^2/f)/(c*f*(a+b/(d*x+c)^(1/2))^2-d*e*(a+b/(d*x+c)^(1/2))^2-2*(a+b/(d*x+c)^(1/2))*a*c*f+2*(a+b/(d*x+c)^(1/2))*a*d*e+a^2*c*f-a^2*d*e-b^2*f)-1/4/b^2/f/((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f-e*(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(Si(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))-1/4/b^2/f/(-(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*c*f+e*(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)*d-a*c*f+a*d*e)*(Si(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))-Ci(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))+1/4/b^2/f/(c*f-d*e)*(-Si(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a-(a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((a*c*f-a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))+1/4/b^2/f/(c*f-d*e)*(Si(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*sin((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))+Ci(b/(d*x+c)^(1/2)+a+(-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e))*cos((-a*c*f+a*d*e+(b^2*c*f^2-b^2*d*e*f)^(1/2))/(c*f-d*e)))))","B"
202,0,0,316,0.088000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^(3/2)),x)","\int \left(f x +e \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{3}{2}}}\right)\, dx"," ",0,"int((f*x+e)^2*sin(a+b/(d*x+c)^(3/2)),x)","F"
203,0,0,195,0.066000," ","int((f*x+e)*sin(a+b/(d*x+c)^(3/2)),x)","\int \left(f x +e \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{3}{2}}}\right)\, dx"," ",0,"int((f*x+e)*sin(a+b/(d*x+c)^(3/2)),x)","F"
204,0,0,87,0.046000," ","int(sin(a+b/(d*x+c)^(3/2)),x)","\int \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{3}{2}}}\right)\, dx"," ",0,"int(sin(a+b/(d*x+c)^(3/2)),x)","F"
205,0,0,22,0.080000," ","int(sin(a+b/(d*x+c)^(3/2))/(f*x+e),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{3}{2}}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(3/2))/(f*x+e),x)","F"
206,0,0,22,0.081000," ","int(sin(a+b/(d*x+c)^(3/2))/(f*x+e)^2,x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{3}{2}}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(3/2))/(f*x+e)^2,x)","F"
207,1,2704,573,0.033000," ","int((f*x+e)^2*sin(a+b*(d*x+c)^(1/3)),x)","\text{Expression too large to display}"," ",0,"3/d^3/b^3*(1/b^6*f^2*(-(a+b*(d*x+c)^(1/3))^8*cos(a+b*(d*x+c)^(1/3))+8*(a+b*(d*x+c)^(1/3))^7*sin(a+b*(d*x+c)^(1/3))+56*(a+b*(d*x+c)^(1/3))^6*cos(a+b*(d*x+c)^(1/3))-336*(a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))-1680*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+6720*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+20160*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-40320*cos(a+b*(d*x+c)^(1/3))-40320*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+c^2*f^2*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+d^2*e^2*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-1/b^6*a^8*f^2*cos(a+b*(d*x+c)^(1/3))+28/b^6*a^6*f^2*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-56/b^6*a^3*f^2*(-(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+120*sin(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+70/b^6*a^4*f^2*(-(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+12*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))-24*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-56/b^6*a^5*f^2*(-(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-6*sin(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-2/b^3*c*f^2*(-(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+120*sin(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-2*a*c^2*f^2*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-2*a*d^2*e^2*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-8/b^6*a*f^2*(-(a+b*(d*x+c)^(1/3))^7*cos(a+b*(d*x+c)^(1/3))+7*(a+b*(d*x+c)^(1/3))^6*sin(a+b*(d*x+c)^(1/3))+42*(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))-210*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))-840*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+2520*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-5040*sin(a+b*(d*x+c)^(1/3))+5040*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+28/b^6*a^2*f^2*(-(a+b*(d*x+c)^(1/3))^6*cos(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))+30*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))-360*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+720*cos(a+b*(d*x+c)^(1/3))+720*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-8/b^6*a^7*f^2*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-a^2*d^2*e^2*cos(a+b*(d*x+c)^(1/3))-a^2*c^2*f^2*cos(a+b*(d*x+c)^(1/3))-20/b^3*a^2*c*f^2*(-(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-6*sin(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-2/b^3*a^5*c*f^2*cos(a+b*(d*x+c)^(1/3))-2*c*d*e*f*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+20/b^3*a^3*c*f^2*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-10/b^3*a^4*c*f^2*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+2/b^3*d*e*f*(-(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+120*sin(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+10/b^3*a*c*f^2*(-(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+12*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))-24*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-20/b^3*a^3*d*e*f*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+4*a*c*d*e*f*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-10/b^3*a*d*e*f*(-(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+12*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))-24*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+2/b^3*a^5*d*e*f*cos(a+b*(d*x+c)^(1/3))+20/b^3*a^2*d*e*f*(-(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-6*sin(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+10/b^3*a^4*d*e*f*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+2*a^2*c*d*e*f*cos(a+b*(d*x+c)^(1/3)))","B"
208,1,801,258,0.029000," ","int((f*x+e)*sin(a+b*(d*x+c)^(1/3)),x)","\frac{-3 c f \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+3 d e \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+6 a c f \left(\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)-6 a d e \left(\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+3 a^{2} c f \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-3 a^{2} d e \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\frac{3 f \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+5 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{4} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+20 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-60 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+120 \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-120 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{15 a f \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{4} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+4 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+12 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-24 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-24 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{30 a^{2} f \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-6 \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+6 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{30 a^{3} f \left(-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{15 a^{4} f \left(\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{3 a^{5} f \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{b^{3}}}{d^{2} b^{3}}"," ",0,"3/d^2/b^3*(-c*f*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+d*e*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+2*a*c*f*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-2*a*d*e*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+a^2*c*f*cos(a+b*(d*x+c)^(1/3))-a^2*d*e*cos(a+b*(d*x+c)^(1/3))+1/b^3*f*(-(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+120*sin(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-5/b^3*a*f*(-(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+12*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))-24*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+10/b^3*a^2*f*(-(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-6*sin(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-10/b^3*a^3*f*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+5/b^3*a^4*f*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))+1/b^3*a^5*f*cos(a+b*(d*x+c)^(1/3)))","B"
209,1,134,75,0.027000," ","int(sin(a+b*(d*x+c)^(1/3)),x)","\frac{-3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+6 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+6 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-6 a \left(\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)-3 a^{2} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{d \,b^{3}}"," ",0,"3/d/b^3*(-(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))+2*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3))-2*a*(sin(a+b*(d*x+c)^(1/3))-(a+b*(d*x+c)^(1/3))*cos(a+b*(d*x+c)^(1/3)))-a^2*cos(a+b*(d*x+c)^(1/3)))","A"
210,1,327,319,0.056000," ","int(sin(a+b*(d*x+c)^(1/3))/(f*x+e),x)","\frac{\frac{b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\textit{\_R1}^{2} \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{f}-\frac{2 a \,b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\textit{\_R1} \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{f}+\frac{a^{2} b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{f}}{b^{3}}"," ",0,"3/b^3*(1/3*b^3/f*sum(_R1^2/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))-2/3*a*b^3/f*sum(_R1/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))+1/3*a^2*b^3/f*sum(1/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f)))","C"
211,1,1175,433,0.110000," ","int(sin(a+b*(d*x+c)^(1/3))/(f*x+e)^2,x)","\frac{3 d \left(\frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(-\frac{2 a \,b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}}{3 \left(c f -d e \right)}+\frac{a^{2} b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{c f -d e}-\frac{b^{3} \left(c f \,b^{3}-d e \,b^{3}+a^{3} f \right)}{3 \left(c f -d e \right) f}\right)}{-c f \,b^{3}+d e \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} f -3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} a f +3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2} f -a^{3} f}-\frac{2 a \,b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\textit{\_R1} \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\left(c f -d e \right) \left(\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}\right)}\right)}{9 f}+\frac{b^{3} \left(\munderset{\textit{\_RR1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\left(c f \,b^{3}-d e \,b^{3}+2 \textit{\_RR1}^{2} a f -3 \textit{\_RR1} \,a^{2} f +a^{3} f \right) \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)\right)}{\left(c f -d e \right) \left(\textit{\_RR1}^{2}-2 \textit{\_RR1} a +a^{2}\right)}\right)}{9 f^{2}}+\frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(\frac{2 a \,b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}}{3 \left(c f -d e \right)}-\frac{2 a^{2} b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{3 \left(c f -d e \right)}\right)}{-c f \,b^{3}+d e \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} f -3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} a f +3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2} f -a^{3} f}+\frac{2 a \,b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\left(\textit{\_R1} +a \right) \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\left(c f -d e \right) \left(\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}\right)}\right)}{9 f}-\frac{2 a \,b^{3} \left(\munderset{\textit{\_RR1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\textit{\_RR1} \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)\right)}{\left(\textit{\_RR1} -a \right) \left(c f -d e \right)}\right)}{9 f}+a^{2} b^{6} \left(\frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(-\frac{a +b \left(d x +c \right)^{\frac{1}{3}}}{3 b^{3} \left(c f -d e \right)}+\frac{a}{3 b^{3} \left(c f -d e \right)}\right)}{-c f \,b^{3}+d e \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} f -3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} a f +3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2} f -a^{3} f}-\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)}{\left(c f -d e \right) \left(\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}\right)}\right)}{9 b^{3} f}+\frac{\munderset{\textit{\_RR1} =\RootOf \left(-c f \,b^{3}+d e \,b^{3}+f \,\textit{\_Z}^{3}-3 a f \,\textit{\_Z}^{2}+3 a^{2} f \textit{\_Z} -a^{3} f \right)}{\sum}\frac{\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)}{\left(\textit{\_RR1} -a \right) \left(c f -d e \right)}}{9 b^{3} f}\right)\right)}{b^{3}}"," ",0,"3*d/b^3*(sin(a+b*(d*x+c)^(1/3))*(-2/3*a*b^3/(c*f-d*e)*(a+b*(d*x+c)^(1/3))^2+a^2*b^3/(c*f-d*e)*(a+b*(d*x+c)^(1/3))-1/3*b^3*(b^3*c*f-b^3*d*e+a^3*f)/(c*f-d*e)/f)/(-c*f*b^3+d*e*b^3+(a+b*(d*x+c)^(1/3))^3*f-3*(a+b*(d*x+c)^(1/3))^2*a*f+3*(a+b*(d*x+c)^(1/3))*a^2*f-a^3*f)-2/9*a*b^3/f*sum(_R1/(c*f-d*e)/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))+1/9*b^3/f^2*sum((b^3*c*f-b^3*d*e+2*_RR1^2*a*f-3*_RR1*a^2*f+a^3*f)/(c*f-d*e)/(_RR1^2-2*_RR1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))+sin(a+b*(d*x+c)^(1/3))*(2/3*a*b^3/(c*f-d*e)*(a+b*(d*x+c)^(1/3))^2-2/3*a^2*b^3/(c*f-d*e)*(a+b*(d*x+c)^(1/3)))/(-c*f*b^3+d*e*b^3+(a+b*(d*x+c)^(1/3))^3*f-3*(a+b*(d*x+c)^(1/3))^2*a*f+3*(a+b*(d*x+c)^(1/3))*a^2*f-a^3*f)+2/9*a*b^3/f*sum((_R1+a)/(c*f-d*e)/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))-2/9*a*b^3/f*sum(_RR1/(_RR1-a)/(c*f-d*e)*(Si(-b*(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))+a^2*b^6*(sin(a+b*(d*x+c)^(1/3))*(-1/3/b^3/(c*f-d*e)*(a+b*(d*x+c)^(1/3))+1/3*a/b^3/(c*f-d*e))/(-c*f*b^3+d*e*b^3+(a+b*(d*x+c)^(1/3))^3*f-3*(a+b*(d*x+c)^(1/3))^2*a*f+3*(a+b*(d*x+c)^(1/3))*a^2*f-a^3*f)-2/9/b^3/f*sum(1/(c*f-d*e)/(_R1^2-2*_R1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))+1/9/b^3/f*sum(1/(_RR1-a)/(c*f-d*e)*(Si(-b*(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf(-b^3*c*f+b^3*d*e+_Z^3*f-3*_Z^2*a*f+3*_Z*a^2*f-a^3*f))))","C"
212,1,395,419,0.029000," ","int((f*x+e)^2*sin(a+b*(d*x+c)^(2/3)),x)","\frac{-\frac{3 f^{2} \left(d x +c \right)^{\frac{7}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{21 f^{2} \left(\frac{\left(d x +c \right)^{\frac{5}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}-\frac{5 \left(-\frac{\left(d x +c \right) \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{\frac{3 \left(d x +c \right)^{\frac{1}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{4 b}-\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(a \right) \FresnelC \left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{8 b^{\frac{3}{2}}}}{b}\right)}{2 b}\right)}{2 b}-\frac{3 \left(-2 c \,f^{2}+2 d e f \right) \left(d x +c \right)^{\frac{4}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{6 \left(-2 c \,f^{2}+2 d e f \right) \left(\frac{\left(d x +c \right)^{\frac{2}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{\cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b^{2}}\right)}{b}-\frac{3 \left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \left(d x +c \right)^{\frac{1}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{3 \left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 b^{\frac{3}{2}}}}{d^{3}}"," ",0,"3/d^3*(-1/2*f^2/b*(d*x+c)^(7/3)*cos(a+b*(d*x+c)^(2/3))+7/2*f^2/b*(1/2/b*(d*x+c)^(5/3)*sin(a+b*(d*x+c)^(2/3))-5/2/b*(-1/2/b*(d*x+c)*cos(a+b*(d*x+c)^(2/3))+3/2/b*(1/2/b*(d*x+c)^(1/3)*sin(a+b*(d*x+c)^(2/3))-1/4/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))+sin(a)*FresnelC((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))))))-1/2*(-2*c*f^2+2*d*e*f)/b*(d*x+c)^(4/3)*cos(a+b*(d*x+c)^(2/3))+2*(-2*c*f^2+2*d*e*f)/b*(1/2/b*(d*x+c)^(2/3)*sin(a+b*(d*x+c)^(2/3))+1/2/b^2*cos(a+b*(d*x+c)^(2/3)))-1/2*(c^2*f^2-2*c*d*e*f+d^2*e^2)/b*(d*x+c)^(1/3)*cos(a+b*(d*x+c)^(2/3))+1/4*(c^2*f^2-2*c*d*e*f+d^2*e^2)/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))))","A"
213,1,175,197,0.025000," ","int((f*x+e)*sin(a+b*(d*x+c)^(2/3)),x)","\frac{-\frac{3 f \left(d x +c \right)^{\frac{4}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{6 f \left(\frac{\left(d x +c \right)^{\frac{2}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{\cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b^{2}}\right)}{b}-\frac{3 \left(-c f +d e \right) \left(d x +c \right)^{\frac{1}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{3 \left(-c f +d e \right) \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 b^{\frac{3}{2}}}}{d^{2}}"," ",0,"3/d^2*(-1/2*f/b*(d*x+c)^(4/3)*cos(a+b*(d*x+c)^(2/3))+2*f/b*(1/2/b*(d*x+c)^(2/3)*sin(a+b*(d*x+c)^(2/3))+1/2/b^2*cos(a+b*(d*x+c)^(2/3)))-1/2*(-c*f+d*e)/b*(d*x+c)^(1/3)*cos(a+b*(d*x+c)^(2/3))+1/4*(-c*f+d*e)/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))))","A"
214,1,86,96,0.024000," ","int(sin(a+b*(d*x+c)^(2/3)),x)","\frac{-\frac{3 \left(d x +c \right)^{\frac{1}{3}} \cos \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{2 b}+\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\left(d x +c \right)^{\frac{1}{3}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 b^{\frac{3}{2}}}}{d}"," ",0,"3/d*(-1/2/b*(d*x+c)^(1/3)*cos(a+b*(d*x+c)^(2/3))+1/4/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS((d*x+c)^(1/3)*b^(1/2)*2^(1/2)/Pi^(1/2))))","A"
215,0,0,22,0.078000," ","int(sin(a+b*(d*x+c)^(2/3))/(f*x+e),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(f*x+e),x)","F"
216,0,0,22,0.069000," ","int(sin(a+b*(d*x+c)^(2/3))/(f*x+e)^2,x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(f*x+e)^2,x)","F"
217,1,936,739,0.099000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^(1/3)),x)","-\frac{3 b^{3} \left(b^{6} f^{2} \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{3}}{9 b^{9}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{8}{3}}}{72 b^{8}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{7}{3}}}{504 b^{7}}+\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{2}}{3024 b^{6}}-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{5}{3}}}{15120 b^{5}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{4}{3}}}{60480 b^{4}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{181440 b^{3}}+\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{362880 b^{2}}-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{362880 b}-\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{362880}+\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{362880}\right)+2 b^{3} d e f \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{2}}{6 b^{6}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{5}{3}}}{30 b^{5}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{4}{3}}}{120 b^{4}}+\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{360 b^{3}}-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{720 b^{2}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{720 b}-\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{720}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{720}\right)+d^{2} e^{2} \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)+c^{2} f^{2} \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)-2 c d e f \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)-2 b^{3} c \,f^{2} \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{2}}{6 b^{6}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{5}{3}}}{30 b^{5}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{4}{3}}}{120 b^{4}}+\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{360 b^{3}}-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{720 b^{2}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{720 b}-\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{720}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{720}\right)\right)}{d^{3}}"," ",0,"-3/d^3*b^3*(b^6*f^2*(-1/9*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^3/b^9-1/72*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(8/3)/b^8+1/504*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(7/3)/b^7+1/3024*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^2/b^6-1/15120*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(5/3)/b^5-1/60480*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(4/3)/b^4+1/181440*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3+1/362880*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2-1/362880*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b-1/362880*Si(b/(d*x+c)^(1/3))*sin(a)+1/362880*Ci(b/(d*x+c)^(1/3))*cos(a))+2*b^3*d*e*f*(-1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^2/b^6-1/30*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(5/3)/b^5+1/120*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(4/3)/b^4+1/360*cos(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/720*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2-1/720*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b-1/720*Si(b/(d*x+c)^(1/3))*cos(a)-1/720*Ci(b/(d*x+c)^(1/3))*sin(a))+d^2*e^2*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))+c^2*f^2*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))-2*c*d*e*f*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))-2*b^3*c*f^2*(-1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^2/b^6-1/30*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(5/3)/b^5+1/120*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(4/3)/b^4+1/360*cos(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/720*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2-1/720*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b-1/720*Si(b/(d*x+c)^(1/3))*cos(a)-1/720*Ci(b/(d*x+c)^(1/3))*sin(a)))","A"
218,1,391,357,0.053000," ","int((f*x+e)*sin(a+b/(d*x+c)^(1/3)),x)","-\frac{3 b^{3} \left(-c f \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)+d e \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)+b^{3} f \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{2}}{6 b^{6}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{5}{3}}}{30 b^{5}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{4}{3}}}{120 b^{4}}+\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{360 b^{3}}-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{720 b^{2}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{720 b}-\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{720}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{720}\right)\right)}{d^{2}}"," ",0,"-3/d^2*b^3*(-c*f*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))+d*e*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))+b^3*f*(-1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^2/b^6-1/30*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(5/3)/b^5+1/120*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(4/3)/b^4+1/360*cos(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/720*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2-1/720*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b-1/720*Si(b/(d*x+c)^(1/3))*cos(a)-1/720*Ci(b/(d*x+c)^(1/3))*sin(a)))","A"
219,1,108,114,0.038000," ","int(sin(a+b/(d*x+c)^(1/3)),x)","-\frac{3 b^{3} \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)}{3 b^{3}}-\frac{\cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{6 b^{2}}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(d x +c \right)^{\frac{1}{3}}}{6 b}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{6}-\frac{\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)}{6}\right)}{d}"," ",0,"-3/d*b^3*(-1/3*sin(a+b/(d*x+c)^(1/3))*(d*x+c)/b^3-1/6*cos(a+b/(d*x+c)^(1/3))*(d*x+c)^(2/3)/b^2+1/6*sin(a+b/(d*x+c)^(1/3))*(d*x+c)^(1/3)/b+1/6*Si(b/(d*x+c)^(1/3))*sin(a)-1/6*Ci(b/(d*x+c)^(1/3))*cos(a))","A"
220,1,156,354,0.066000," ","int(sin(a+b/(d*x+c)^(1/3))/(f*x+e),x)","-3 b^{3} \left(-\frac{\munderset{\textit{\_R1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\left(-\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{3 b^{3} f}+\frac{\Si \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \cos \left(a \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \sin \left(a \right)}{b^{3} f}\right)"," ",0,"-3*b^3*(-1/3/b^3/f*sum(-Si(-b/(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b/(d*x+c)^(1/3)-_R1+a)*sin(_R1),_R1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))+1/b^3/f*(Si(b/(d*x+c)^(1/3))*cos(a)+Ci(b/(d*x+c)^(1/3))*sin(a)))","C"
221,1,1556,444,0.135000," ","int(sin(a+b/(d*x+c)^(1/3))/(f*x+e)^2,x)","-3 d \,b^{3} \left(\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(-\frac{2 a \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2}}{3 b^{3} f}+\frac{a^{2} \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{b^{3} f}-\frac{a^{3} c f -a^{3} d e +b^{3} f}{3 b^{3} f \left(c f -d e \right)}\right)}{c f \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-d e \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a c f +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a d e +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} c f -3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} d e -a^{3} c f +a^{3} d e -b^{3} f}-\frac{2 a \left(\munderset{\textit{\_R1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{\textit{\_R1} \left(-\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2} c f -\textit{\_R1}^{2} d e -2 \textit{\_R1} a c f +2 \textit{\_R1} a d e +a^{2} c f -a^{2} d e}\right)}{9 b^{3} f}+\frac{\munderset{\textit{\_RR1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{\left(2 \textit{\_RR1}^{2} a c f -2 \textit{\_RR1}^{2} a d e -3 \textit{\_RR1} \,a^{2} c f +3 \textit{\_RR1} \,a^{2} d e +a^{3} c f -a^{3} d e +b^{3} f \right) \left(\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)\right)}{\left(c f -d e \right) \left(\textit{\_RR1}^{2} c f -\textit{\_RR1}^{2} d e -2 \textit{\_RR1} a c f +2 \textit{\_RR1} a d e +a^{2} c f -a^{2} d e \right)}}{9 b^{3} f}+\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(\frac{2 a \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2}}{3 b^{3} f}-\frac{2 a^{2} \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{3 b^{3} f}\right)}{c f \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-d e \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a c f +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a d e +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} c f -3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} d e -a^{3} c f +a^{3} d e -b^{3} f}+\frac{2 a \left(\munderset{\textit{\_R1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{\left(\textit{\_R1} +a \right) \left(-\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2} c f -\textit{\_R1}^{2} d e -2 \textit{\_R1} a c f +2 \textit{\_R1} a d e +a^{2} c f -a^{2} d e}\right)}{9 b^{3} f}-\frac{2 a \left(\munderset{\textit{\_RR1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{\textit{\_RR1} \left(\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)\right)}{\textit{\_RR1} c f -\textit{\_RR1} d e -a c f +a d e}\right)}{9 b^{3} f}+a^{2} \left(\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) \left(-\frac{a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}}{3 b^{3} f}+\frac{a}{3 b^{3} f}\right)}{c f \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-d e \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{3}-3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a c f +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)^{2} a d e +3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} c f -3 \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right) a^{2} d e -a^{3} c f +a^{3} d e -b^{3} f}-\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{-\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_R1} -a \right) \cos \left(\textit{\_R1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_R1} +a \right) \sin \left(\textit{\_R1} \right)}{\textit{\_R1}^{2} c f -\textit{\_R1}^{2} d e -2 \textit{\_R1} a c f +2 \textit{\_R1} a d e +a^{2} c f -a^{2} d e}\right)}{9 b^{3} f}+\frac{\munderset{\textit{\_RR1} =\RootOf \left(\left(c f -d e \right) \textit{\_Z}^{3}+\left(-3 a c f +3 a d e \right) \textit{\_Z}^{2}+\left(3 a^{2} c f -3 a^{2} d e \right) \textit{\_Z} -a^{3} c f +a^{3} d e -b^{3} f \right)}{\sum}\frac{\Si \left(-\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}+\textit{\_RR1} -a \right) \sin \left(\textit{\_RR1} \right)+\Ci \left(\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}-\textit{\_RR1} +a \right) \cos \left(\textit{\_RR1} \right)}{\textit{\_RR1} c f -\textit{\_RR1} d e -a c f +a d e}}{9 b^{3} f}\right)\right)"," ",0,"-3*d*b^3*(sin(a+b/(d*x+c)^(1/3))*(-2/3*a/b^3/f*(a+b/(d*x+c)^(1/3))^2+a^2/b^3/f*(a+b/(d*x+c)^(1/3))-1/3*(a^3*c*f-a^3*d*e+b^3*f)/b^3/f/(c*f-d*e))/(c*f*(a+b/(d*x+c)^(1/3))^3-d*e*(a+b/(d*x+c)^(1/3))^3-3*(a+b/(d*x+c)^(1/3))^2*a*c*f+3*(a+b/(d*x+c)^(1/3))^2*a*d*e+3*(a+b/(d*x+c)^(1/3))*a^2*c*f-3*(a+b/(d*x+c)^(1/3))*a^2*d*e-a^3*c*f+a^3*d*e-b^3*f)-2/9*a/b^3/f*sum(_R1/(_R1^2*c*f-_R1^2*d*e-2*_R1*a*c*f+2*_R1*a*d*e+a^2*c*f-a^2*d*e)*(-Si(-b/(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b/(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))+1/9/b^3/f*sum((2*_RR1^2*a*c*f-2*_RR1^2*a*d*e-3*_RR1*a^2*c*f+3*_RR1*a^2*d*e+a^3*c*f-a^3*d*e+b^3*f)/(c*f-d*e)/(_RR1^2*c*f-_RR1^2*d*e-2*_RR1*a*c*f+2*_RR1*a*d*e+a^2*c*f-a^2*d*e)*(Si(-b/(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b/(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))+sin(a+b/(d*x+c)^(1/3))*(2/3*a/b^3/f*(a+b/(d*x+c)^(1/3))^2-2/3*a^2/b^3/f*(a+b/(d*x+c)^(1/3)))/(c*f*(a+b/(d*x+c)^(1/3))^3-d*e*(a+b/(d*x+c)^(1/3))^3-3*(a+b/(d*x+c)^(1/3))^2*a*c*f+3*(a+b/(d*x+c)^(1/3))^2*a*d*e+3*(a+b/(d*x+c)^(1/3))*a^2*c*f-3*(a+b/(d*x+c)^(1/3))*a^2*d*e-a^3*c*f+a^3*d*e-b^3*f)+2/9*a/b^3/f*sum((_R1+a)/(_R1^2*c*f-_R1^2*d*e-2*_R1*a*c*f+2*_R1*a*d*e+a^2*c*f-a^2*d*e)*(-Si(-b/(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b/(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))-2/9*a/b^3/f*sum(_RR1/(_RR1*c*f-_RR1*d*e-a*c*f+a*d*e)*(Si(-b/(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b/(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))+a^2*(sin(a+b/(d*x+c)^(1/3))*(-1/3/b^3/f*(a+b/(d*x+c)^(1/3))+1/3*a/b^3/f)/(c*f*(a+b/(d*x+c)^(1/3))^3-d*e*(a+b/(d*x+c)^(1/3))^3-3*(a+b/(d*x+c)^(1/3))^2*a*c*f+3*(a+b/(d*x+c)^(1/3))^2*a*d*e+3*(a+b/(d*x+c)^(1/3))*a^2*c*f-3*(a+b/(d*x+c)^(1/3))*a^2*d*e-a^3*c*f+a^3*d*e-b^3*f)-2/9/b^3/f*sum(1/(_R1^2*c*f-_R1^2*d*e-2*_R1*a*c*f+2*_R1*a*d*e+a^2*c*f-a^2*d*e)*(-Si(-b/(d*x+c)^(1/3)+_R1-a)*cos(_R1)+Ci(b/(d*x+c)^(1/3)-_R1+a)*sin(_R1)),_R1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))+1/9/b^3/f*sum(1/(_RR1*c*f-_RR1*d*e-a*c*f+a*d*e)*(Si(-b/(d*x+c)^(1/3)+_RR1-a)*sin(_RR1)+Ci(b/(d*x+c)^(1/3)-_RR1+a)*cos(_RR1)),_RR1=RootOf((c*f-d*e)*_Z^3+(-3*a*c*f+3*a*d*e)*_Z^2+(3*a^2*c*f-3*a^2*d*e)*_Z-a^3*c*f+a^3*d*e-b^3*f))))","C"
222,1,452,532,0.045000," ","int((f*x+e)^2*sin(a+b/(d*x+c)^(2/3)),x)","\frac{\left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) \left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)-2 \left(c^{2} f^{2}-2 c d e f +d^{2} e^{2}\right) b \left(-\left(d x +c \right)^{\frac{1}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)+\sin \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)\right)\right)+\frac{\left(-2 c \,f^{2}+2 d e f \right) \left(d x +c \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}-\left(-2 c \,f^{2}+2 d e f \right) b \left(-\frac{\left(d x +c \right)^{\frac{4}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{4}-\frac{b \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{2}+b \left(\frac{\cos \left(a \right) \Ci \left(\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}-\frac{\sin \left(a \right) \Si \left(\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}\right)\right)}{2}\right)+\frac{f^{2} \left(d x +c \right)^{3} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{3}-\frac{2 f^{2} b \left(-\frac{\left(d x +c \right)^{\frac{7}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{7}-\frac{2 b \left(-\frac{\left(d x +c \right)^{\frac{5}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{5}+\frac{2 b \left(-\frac{\left(d x +c \right) \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{3}-\frac{2 b \left(-\left(d x +c \right)^{\frac{1}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)+\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)\right)\right)}{3}\right)}{5}\right)}{7}\right)}{3}}{d^{3}}"," ",0,"3/d^3*(1/3*(c^2*f^2-2*c*d*e*f+d^2*e^2)*(d*x+c)*sin(a+b/(d*x+c)^(2/3))-2/3*(c^2*f^2-2*c*d*e*f+d^2*e^2)*b*(-(d*x+c)^(1/3)*cos(a+b/(d*x+c)^(2/3))-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))+sin(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))))+1/6*(-2*c*f^2+2*d*e*f)*(d*x+c)^2*sin(a+b/(d*x+c)^(2/3))-1/3*(-2*c*f^2+2*d*e*f)*b*(-1/4*(d*x+c)^(4/3)*cos(a+b/(d*x+c)^(2/3))-1/2*b*(-1/2*sin(a+b/(d*x+c)^(2/3))*(d*x+c)^(2/3)+b*(1/2*cos(a)*Ci(b/(d*x+c)^(2/3))-1/2*sin(a)*Si(b/(d*x+c)^(2/3)))))+1/9*f^2*(d*x+c)^3*sin(a+b/(d*x+c)^(2/3))-2/9*f^2*b*(-1/7*(d*x+c)^(7/3)*cos(a+b/(d*x+c)^(2/3))-2/7*b*(-1/5*(d*x+c)^(5/3)*sin(a+b/(d*x+c)^(2/3))+2/5*b*(-1/3*(d*x+c)*cos(a+b/(d*x+c)^(2/3))-2/3*b*(-(d*x+c)^(1/3)*sin(a+b/(d*x+c)^(2/3))+b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))-sin(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))))))))","A"
223,1,225,268,0.041000," ","int((f*x+e)*sin(a+b/(d*x+c)^(2/3)),x)","\frac{-\left(c f -d e \right) \left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)+2 \left(c f -d e \right) b \left(-\left(d x +c \right)^{\frac{1}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)+\sin \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)\right)\right)+\frac{f \left(d x +c \right)^{2} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}-f b \left(-\frac{\left(d x +c \right)^{\frac{4}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{4}-\frac{b \left(-\frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right) \left(d x +c \right)^{\frac{2}{3}}}{2}+b \left(\frac{\cos \left(a \right) \Ci \left(\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}-\frac{\sin \left(a \right) \Si \left(\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{2}\right)\right)}{2}\right)}{d^{2}}"," ",0,"3/d^2*(-1/3*(c*f-d*e)*(d*x+c)*sin(a+b/(d*x+c)^(2/3))+2/3*(c*f-d*e)*b*(-(d*x+c)^(1/3)*cos(a+b/(d*x+c)^(2/3))-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))+sin(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))))+1/6*f*(d*x+c)^2*sin(a+b/(d*x+c)^(2/3))-1/3*f*b*(-1/4*(d*x+c)^(4/3)*cos(a+b/(d*x+c)^(2/3))-1/2*b*(-1/2*sin(a+b/(d*x+c)^(2/3))*(d*x+c)^(2/3)+b*(1/2*cos(a)*Ci(b/(d*x+c)^(2/3))-1/2*sin(a)*Si(b/(d*x+c)^(2/3))))))","A"
224,1,105,115,0.034000," ","int(sin(a+b/(d*x+c)^(2/3)),x)","\frac{\left(d x +c \right) \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)-2 b \left(-\left(d x +c \right)^{\frac{1}{3}} \cos \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)+\sin \left(a \right) \FresnelC \left(\frac{\sqrt{b}\, \sqrt{2}}{\sqrt{\pi}\, \left(d x +c \right)^{\frac{1}{3}}}\right)\right)\right)}{d}"," ",0,"3/d*(1/3*(d*x+c)*sin(a+b/(d*x+c)^(2/3))-2/3*b*(-(d*x+c)^(1/3)*cos(a+b/(d*x+c)^(2/3))-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3))+sin(a)*FresnelC(b^(1/2)*2^(1/2)/Pi^(1/2)/(d*x+c)^(1/3)))))","A"
225,0,0,22,0.086000," ","int(sin(a+b/(d*x+c)^(2/3))/(f*x+e),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{f x +e}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(f*x+e),x)","F"
226,0,0,22,0.078000," ","int(sin(a+b/(d*x+c)^(2/3))/(f*x+e)^2,x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(f*x+e)^2,x)","F"
227,0,0,251,0.082000," ","int((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(1/3)),x)","\int \left(d e x +c e \right)^{\frac{4}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(1/3)),x)","F"
228,0,0,174,0.075000," ","int((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(1/3)),x)","\int \left(d e x +c e \right)^{\frac{2}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(1/3)),x)","F"
229,0,0,138,0.076000," ","int((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(1/3)),x)","\int \left(d e x +c e \right)^{\frac{1}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(1/3)),x)","F"
230,0,0,73,0.074000," ","int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{\left(d e x +c e \right)^{\frac{1}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x)","F"
231,0,0,36,0.083000," ","int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{\left(d e x +c e \right)^{\frac{2}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x)","F"
232,0,0,104,0.075000," ","int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{\left(d e x +c e \right)^{\frac{4}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x)","F"
233,0,0,145,0.074000," ","int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{\left(d e x +c e \right)^{\frac{5}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x)","F"
234,0,0,223,0.076000," ","int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{\left(d e x +c e \right)^{\frac{7}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x)","F"
235,0,0,207,0.074000," ","int((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{4}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(2/3)),x)","F"
236,0,0,173,0.075000," ","int((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{2}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(2/3)),x)","F"
237,0,0,73,0.073000," ","int((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{1}{3}} \sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(2/3)),x)","F"
238,0,0,36,0.077000," ","int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{\left(d e x +c e \right)^{\frac{1}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x)","F"
239,0,0,101,0.074000," ","int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{\left(d e x +c e \right)^{\frac{2}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x)","F"
240,0,0,136,0.075000," ","int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{\left(d e x +c e \right)^{\frac{4}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x)","F"
241,0,0,104,0.073000," ","int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{\frac{2}{3}}\right)}{\left(d e x +c e \right)^{\frac{5}{3}}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x)","F"
242,0,0,203,0.074000," ","int((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(1/3)),x)","\int \left(d e x +c e \right)^{\frac{1}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(1/3)),x)","F"
243,0,0,138,0.072000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{1}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x)","F"
244,0,0,100,0.072000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{2}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x)","F"
245,0,0,39,0.074000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{4}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x)","F"
246,0,0,79,0.075000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{5}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x)","F"
247,0,0,150,0.079000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{7}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x)","F"
248,0,0,189,0.075000," ","int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(8/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{1}{3}}}\right)}{\left(d e x +c e \right)^{\frac{8}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(8/3),x)","F"
249,0,0,239,0.077000," ","int((d*e*x+c*e)^(4/3)*sin(a+b/(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{4}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(4/3)*sin(a+b/(d*x+c)^(2/3)),x)","F"
250,0,0,202,0.075000," ","int((d*e*x+c*e)^(2/3)*sin(a+b/(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{2}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(2/3)*sin(a+b/(d*x+c)^(2/3)),x)","F"
251,0,0,138,0.074000," ","int((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(2/3)),x)","\int \left(d e x +c e \right)^{\frac{1}{3}} \sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)\, dx"," ",0,"int((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(2/3)),x)","F"
252,0,0,100,0.075000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{1}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x)","F"
253,0,0,132,0.080000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{2}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x)","F"
254,0,0,107,0.083000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{4}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x)","F"
255,0,0,39,0.075000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{5}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x)","F"
256,0,0,79,0.074000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(7/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{7}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(7/3),x)","F"
257,0,0,185,0.075000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(8/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{8}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(8/3),x)","F"
258,0,0,217,0.076000," ","int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(10/3),x)","\int \frac{\sin \left(a +\frac{b}{\left(d x +c \right)^{\frac{2}{3}}}\right)}{\left(d e x +c e \right)^{\frac{10}{3}}}\, dx"," ",0,"int(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(10/3),x)","F"
259,0,0,20,0.260000," ","int((e*x)^m*sin(a+b*(d*x+c)^n),x)","\int \left(e x \right)^{m} \sin \left(a +b \left(d x +c \right)^{n}\right)\, dx"," ",0,"int((e*x)^m*sin(a+b*(d*x+c)^n),x)","F"
260,0,0,467,0.063000," ","int(x^3*sin(a+b*(d*x+c)^n),x)","\int x^{3} \sin \left(a +b \left(d x +c \right)^{n}\right)\, dx"," ",0,"int(x^3*sin(a+b*(d*x+c)^n),x)","F"
261,0,0,345,0.138000," ","int(x^2*sin(a+b*(d*x+c)^n),x)","\int x^{2} \sin \left(a +b \left(d x +c \right)^{n}\right)\, dx"," ",0,"int(x^2*sin(a+b*(d*x+c)^n),x)","F"
262,0,0,223,0.135000," ","int(x*sin(a+b*(d*x+c)^n),x)","\int x \sin \left(a +b \left(d x +c \right)^{n}\right)\, dx"," ",0,"int(x*sin(a+b*(d*x+c)^n),x)","F"
263,0,0,105,0.104000," ","int(sin(a+b*(d*x+c)^n),x)","\int \sin \left(a +b \left(d x +c \right)^{n}\right)\, dx"," ",0,"int(sin(a+b*(d*x+c)^n),x)","F"
264,0,0,18,0.073000," ","int(sin(a+b*(d*x+c)^n)/x,x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{n}\right)}{x}\, dx"," ",0,"int(sin(a+b*(d*x+c)^n)/x,x)","F"
265,0,0,18,0.129000," ","int(sin(a+b*(d*x+c)^n)/x^2,x)","\int \frac{\sin \left(a +b \left(d x +c \right)^{n}\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*(d*x+c)^n)/x^2,x)","F"
266,0,0,481,0.119000," ","int(x^3*(a+b*sin(c+d*(g*x+f)^n)),x)","\int x^{3} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)\, dx"," ",0,"int(x^3*(a+b*sin(c+d*(g*x+f)^n)),x)","F"
267,0,0,357,0.177000," ","int(x^2*(a+b*sin(c+d*(g*x+f)^n)),x)","\int x^{2} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)\, dx"," ",0,"int(x^2*(a+b*sin(c+d*(g*x+f)^n)),x)","F"
268,0,0,233,0.225000," ","int(x*(a+b*sin(c+d*(g*x+f)^n)),x)","\int x \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)\, dx"," ",0,"int(x*(a+b*sin(c+d*(g*x+f)^n)),x)","F"
269,0,0,110,0.206000," ","int(a+b*sin(c+d*(g*x+f)^n),x)","\int a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\, dx"," ",0,"int(a+b*sin(c+d*(g*x+f)^n),x)","F"
270,0,0,25,0.129000," ","int((a+b*sin(c+d*(g*x+f)^n))/x,x)","\int \frac{a +b \sin \left(c +d \left(g x +f \right)^{n}\right)}{x}\, dx"," ",0,"int((a+b*sin(c+d*(g*x+f)^n))/x,x)","F"
271,0,0,27,0.184000," ","int((a+b*sin(c+d*(g*x+f)^n))/x^2,x)","\int \frac{a +b \sin \left(c +d \left(g x +f \right)^{n}\right)}{x^{2}}\, dx"," ",0,"int((a+b*sin(c+d*(g*x+f)^n))/x^2,x)","F"
272,0,0,824,0.645000," ","int(x^2*(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int x^{2} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}\, dx"," ",0,"int(x^2*(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
273,0,0,532,0.706000," ","int(x*(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int x \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}\, dx"," ",0,"int(x*(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
274,0,0,245,0.418000," ","int((a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}\, dx"," ",0,"int((a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
275,0,0,24,0.891000," ","int((a+b*sin(c+d*(g*x+f)^n))^2/x,x)","\int \frac{\left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*sin(c+d*(g*x+f)^n))^2/x,x)","F"
276,0,0,24,0.778000," ","int((a+b*sin(c+d*(g*x+f)^n))^2/x^2,x)","\int \frac{\left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*sin(c+d*(g*x+f)^n))^2/x^2,x)","F"
277,0,0,24,0.128000," ","int(x^2/(a+b*sin(c+d*(g*x+f)^n)),x)","\int \frac{x^{2}}{a +b \sin \left(c +d \left(g x +f \right)^{n}\right)}\, dx"," ",0,"int(x^2/(a+b*sin(c+d*(g*x+f)^n)),x)","F"
278,0,0,22,0.160000," ","int(x/(a+b*sin(c+d*(g*x+f)^n)),x)","\int \frac{x}{a +b \sin \left(c +d \left(g x +f \right)^{n}\right)}\, dx"," ",0,"int(x/(a+b*sin(c+d*(g*x+f)^n)),x)","F"
279,0,0,20,0.136000," ","int(1/(a+b*sin(c+d*(g*x+f)^n)),x)","\int \frac{1}{a +b \sin \left(c +d \left(g x +f \right)^{n}\right)}\, dx"," ",0,"int(1/(a+b*sin(c+d*(g*x+f)^n)),x)","F"
280,0,0,24,0.162000," ","int(1/x/(a+b*sin(c+d*(g*x+f)^n)),x)","\int \frac{1}{x \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)}\, dx"," ",0,"int(1/x/(a+b*sin(c+d*(g*x+f)^n)),x)","F"
281,0,0,24,0.106000," ","int(1/x^2/(a+b*sin(c+d*(g*x+f)^n)),x)","\int \frac{1}{x^{2} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)}\, dx"," ",0,"int(1/x^2/(a+b*sin(c+d*(g*x+f)^n)),x)","F"
282,0,0,24,0.679000," ","int(x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \frac{x^{2}}{\left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
283,0,0,22,3.018000," ","int(x/(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \frac{x}{\left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}\, dx"," ",0,"int(x/(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
284,0,0,20,2.103000," ","int(1/(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \frac{1}{\left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
285,0,0,24,0.624000," ","int(1/x/(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \frac{1}{x \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
286,0,0,24,0.643000," ","int(1/x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x)","\int \frac{1}{x^{2} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x)","F"
287,0,0,26,1.159000," ","int((e*x)^m*(a+b*sin(c+d*(g*x+f)^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \sin \left(c +d \left(g x +f \right)^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*sin(c+d*(g*x+f)^n))^p,x)","F"
288,1,209,212,0.069000," ","int((f*x+e)^2*(a+b*sin(c+d/x)),x)","-d \left(-\frac{a \,e^{2} x}{d}-\frac{a e f \,x^{2}}{d}-\frac{a \,f^{2} x^{3}}{3 d}+b \,e^{2} \left(-\frac{\sin \left(c +\frac{d}{x}\right) x}{d}-\Si \left(\frac{d}{x}\right) \sin \left(c \right)+\Ci \left(\frac{d}{x}\right) \cos \left(c \right)\right)+2 b d e f \left(-\frac{\sin \left(c +\frac{d}{x}\right) x^{2}}{2 d^{2}}-\frac{\cos \left(c +\frac{d}{x}\right) x}{2 d}-\frac{\Si \left(\frac{d}{x}\right) \cos \left(c \right)}{2}-\frac{\Ci \left(\frac{d}{x}\right) \sin \left(c \right)}{2}\right)+b \,d^{2} f^{2} \left(-\frac{\sin \left(c +\frac{d}{x}\right) x^{3}}{3 d^{3}}-\frac{\cos \left(c +\frac{d}{x}\right) x^{2}}{6 d^{2}}+\frac{\sin \left(c +\frac{d}{x}\right) x}{6 d}+\frac{\Si \left(\frac{d}{x}\right) \sin \left(c \right)}{6}-\frac{\Ci \left(\frac{d}{x}\right) \cos \left(c \right)}{6}\right)\right)"," ",0,"-d*(-a*e^2*x/d-a/d*e*f*x^2-1/3*a/d*f^2*x^3+b*e^2*(-sin(c+d/x)*x/d-Si(d/x)*sin(c)+Ci(d/x)*cos(c))+2*b*d*e*f*(-1/2*sin(c+d/x)*x^2/d^2-1/2*cos(c+d/x)*x/d-1/2*Si(d/x)*cos(c)-1/2*Ci(d/x)*sin(c))+b*d^2*f^2*(-1/3*sin(c+d/x)*x^3/d^3-1/6*cos(c+d/x)*x^2/d^2+1/6*sin(c+d/x)*x/d+1/6*Si(d/x)*sin(c)-1/6*Ci(d/x)*cos(c)))","A"
289,1,115,108,0.057000," ","int((f*x+e)*(a+b*sin(c+d/x)),x)","-d \left(-\frac{a e x}{d}-\frac{a f \,x^{2}}{2 d}+b e \left(-\frac{\sin \left(c +\frac{d}{x}\right) x}{d}-\Si \left(\frac{d}{x}\right) \sin \left(c \right)+\Ci \left(\frac{d}{x}\right) \cos \left(c \right)\right)+b d f \left(-\frac{\sin \left(c +\frac{d}{x}\right) x^{2}}{2 d^{2}}-\frac{\cos \left(c +\frac{d}{x}\right) x}{2 d}-\frac{\Si \left(\frac{d}{x}\right) \cos \left(c \right)}{2}-\frac{\Ci \left(\frac{d}{x}\right) \sin \left(c \right)}{2}\right)\right)"," ",0,"-d*(-a*e*x/d-1/2*a/d*f*x^2+b*e*(-sin(c+d/x)*x/d-Si(d/x)*sin(c)+Ci(d/x)*cos(c))+b*d*f*(-1/2*sin(c+d/x)*x^2/d^2-1/2*cos(c+d/x)*x/d-1/2*Si(d/x)*cos(c)-1/2*Ci(d/x)*sin(c)))","A"
290,1,43,38,0.034000," ","int(a+b*sin(c+d/x),x)","a x -b d \left(-\frac{\sin \left(c +\frac{d}{x}\right) x}{d}-\Si \left(\frac{d}{x}\right) \sin \left(c \right)+\Ci \left(\frac{d}{x}\right) \cos \left(c \right)\right)"," ",0,"a*x-b*d*(-sin(c+d/x)*x/d-Si(d/x)*sin(c)+Ci(d/x)*cos(c))","A"
291,1,142,103,0.056000," ","int((a+b*sin(c+d/x))/(f*x+e),x)","-\frac{a \ln \left(\frac{d}{x}\right)}{f}+\frac{a \ln \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}{f}+\frac{b \Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{f}-\frac{b \Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{f}-\frac{b \Ci \left(\frac{d}{x}\right) \sin \left(c \right)}{f}-\frac{b \cos \left(c \right) \Si \left(\frac{d}{x}\right)}{f}"," ",0,"-a/f*ln(d/x)+a/f*ln(e*(c+d/x)-c*e+d*f)+b/f*Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)-b/f*Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)-b*Ci(d/x)*sin(c)/f-b*cos(c)*Si(d/x)/f","A"
292,1,144,94,0.051000," ","int((a+b*sin(c+d/x))/(f*x+e)^2,x)","-d \left(-\frac{a}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}+\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}}{e}\right)\right)"," ",0,"-d*(-a/(e*(c+d/x)-c*e+d*f)/e+b*(-sin(c+d/x)/(e*(c+d/x)-c*e+d*f)/e+(Si(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e+Ci(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e)/e))","A"
293,1,527,223,0.058000," ","int((a+b*sin(c+d/x))/(f*x+e)^3,x)","-d \left(-\frac{a}{e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}-\frac{a \left(c e -d f \right)}{2 e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2}}+\frac{\left(c e -d f \right) b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}+\frac{-\frac{\cos \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}-\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}}{e}}{2 e}\right)}{e}+\frac{b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}+\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}}{e}\right)}{e}+\frac{c a}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}-c b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}+\frac{-\frac{\cos \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}-\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}}{e}}{2 e}\right)\right)"," ",0,"-d*(-a/e^2/(e*(c+d/x)-c*e+d*f)-1/2*a*(c*e-d*f)/e^2/(e*(c+d/x)-c*e+d*f)^2+(c*e-d*f)/e*b*(-1/2*sin(c+d/x)/(e*(c+d/x)-c*e+d*f)^2/e+1/2*(-cos(c+d/x)/(e*(c+d/x)-c*e+d*f)/e-(Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e-Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e)/e)/e)+b/e*(-sin(c+d/x)/(e*(c+d/x)-c*e+d*f)/e+(Si(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e+Ci(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e)/e)+1/2*c*a/(e*(c+d/x)-c*e+d*f)^2/e-c*b*(-1/2*sin(c+d/x)/(e*(c+d/x)-c*e+d*f)^2/e+1/2*(-cos(c+d/x)/(e*(c+d/x)-c*e+d*f)/e-(Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e-Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e)/e)/e))","B"
294,1,265,250,0.099000," ","int((f*x+e)*(a+b*sin(c+d/x))^2,x)","-d \left(-\frac{a^{2} e x}{d}-\frac{a^{2} f \,x^{2}}{2 d}+2 a b e \left(-\frac{\sin \left(c +\frac{d}{x}\right) x}{d}-\Si \left(\frac{d}{x}\right) \sin \left(c \right)+\Ci \left(\frac{d}{x}\right) \cos \left(c \right)\right)+2 a b d f \left(-\frac{\sin \left(c +\frac{d}{x}\right) x^{2}}{2 d^{2}}-\frac{\cos \left(c +\frac{d}{x}\right) x}{2 d}-\frac{\Si \left(\frac{d}{x}\right) \cos \left(c \right)}{2}-\frac{\Ci \left(\frac{d}{x}\right) \sin \left(c \right)}{2}\right)-\frac{b^{2} e x}{2 d}-\frac{b^{2} e \left(-\frac{2 \cos \left(\frac{2 d}{x}+2 c \right) x}{d}-4 \Si \left(\frac{2 d}{x}\right) \cos \left(2 c \right)-4 \Ci \left(\frac{2 d}{x}\right) \sin \left(2 c \right)\right)}{4}-\frac{b^{2} f \,x^{2}}{4 d}-\frac{b^{2} d f \left(-\frac{\cos \left(\frac{2 d}{x}+2 c \right) x^{2}}{d^{2}}+\frac{2 \sin \left(\frac{2 d}{x}+2 c \right) x}{d}+4 \Si \left(\frac{2 d}{x}\right) \sin \left(2 c \right)-4 \Ci \left(\frac{2 d}{x}\right) \cos \left(2 c \right)\right)}{4}\right)"," ",0,"-d*(-a^2*e*x/d-1/2*a^2/d*f*x^2+2*a*b*e*(-sin(c+d/x)*x/d-Si(d/x)*sin(c)+Ci(d/x)*cos(c))+2*a*b*d*f*(-1/2*sin(c+d/x)*x^2/d^2-1/2*cos(c+d/x)*x/d-1/2*Si(d/x)*cos(c)-1/2*Ci(d/x)*sin(c))-1/2*b^2*e*x/d-1/4*b^2*e*(-2*cos(2*d/x+2*c)*x/d-4*Si(2*d/x)*cos(2*c)-4*Ci(2*d/x)*sin(2*c))-1/4*b^2/d*f*x^2-1/4*b^2*d*f*(-cos(2*d/x+2*c)*x^2/d^2+2*sin(2*d/x+2*c)*x/d+4*Si(2*d/x)*sin(2*c)-4*Ci(2*d/x)*cos(2*c)))","A"
295,1,110,94,0.092000," ","int((a+b*sin(c+d/x))^2,x)","-d \left(-\frac{a^{2} x}{d}+2 a b \left(-\frac{\sin \left(c +\frac{d}{x}\right) x}{d}-\Si \left(\frac{d}{x}\right) \sin \left(c \right)+\Ci \left(\frac{d}{x}\right) \cos \left(c \right)\right)-\frac{b^{2} x}{2 d}-\frac{b^{2} \left(-\frac{2 \cos \left(\frac{2 d}{x}+2 c \right) x}{d}-4 \Si \left(\frac{2 d}{x}\right) \cos \left(2 c \right)-4 \Ci \left(\frac{2 d}{x}\right) \sin \left(2 c \right)\right)}{4}\right)"," ",0,"-d*(-a^2*x/d+2*a*b*(-sin(c+d/x)*x/d-Si(d/x)*sin(c)+Ci(d/x)*cos(c))-1/2*b^2*x/d-1/4*b^2*(-2*cos(2*d/x+2*c)*x/d-4*Si(2*d/x)*cos(2*c)-4*Ci(2*d/x)*sin(2*c)))","A"
296,1,321,243,0.101000," ","int((a+b*sin(c+d/x))^2/(f*x+e),x)","-\frac{a^{2} \ln \left(\frac{d}{x}\right)}{f}+\frac{a^{2} \ln \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}{f}+\frac{2 a b \Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{f}-\frac{2 a b \Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{f}-\frac{2 a b \cos \left(c \right) \Si \left(\frac{d}{x}\right)}{f}-\frac{2 a b \Ci \left(\frac{d}{x}\right) \sin \left(c \right)}{f}-\frac{b^{2} \ln \left(\frac{d}{x}\right)}{2 f}+\frac{b^{2} \ln \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}{2 f}-\frac{b^{2} \Si \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \sin \left(\frac{-2 c e +2 d f}{e}\right)}{2 f}-\frac{b^{2} \Ci \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \cos \left(\frac{-2 c e +2 d f}{e}\right)}{2 f}-\frac{b^{2} \Si \left(\frac{2 d}{x}\right) \sin \left(2 c \right)}{2 f}+\frac{b^{2} \Ci \left(\frac{2 d}{x}\right) \cos \left(2 c \right)}{2 f}"," ",0,"-a^2/f*ln(d/x)+a^2/f*ln(e*(c+d/x)-c*e+d*f)+2*a*b/f*Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)-2*a*b/f*Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)-2*a*b*cos(c)*Si(d/x)/f-2*a*b*Ci(d/x)*sin(c)/f-1/2*b^2/f*ln(d/x)+1/2*b^2/f*ln(e*(c+d/x)-c*e+d*f)-1/2*b^2/f*Si(2*d/x+2*c+2*(-c*e+d*f)/e)*sin(2*(-c*e+d*f)/e)-1/2*b^2/f*Ci(2*d/x+2*c+2*(-c*e+d*f)/e)*cos(2*(-c*e+d*f)/e)-1/2*b^2*Si(2*d/x)*sin(2*c)/f+1/2*b^2*Ci(2*d/x)*cos(2*c)/f","A"
297,1,308,195,0.086000," ","int((a+b*sin(c+d/x))^2/(f*x+e)^2,x)","-d \left(-\frac{a^{2}}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+2 a b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}+\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}}{e}\right)-\frac{b^{2}}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{b^{2} \left(-\frac{2 \cos \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{2 \left(\frac{2 \Si \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \cos \left(\frac{-2 c e +2 d f}{e}\right)}{e}-\frac{2 \Ci \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \sin \left(\frac{-2 c e +2 d f}{e}\right)}{e}\right)}{e}\right)}{4}\right)"," ",0,"-d*(-a^2/(e*(c+d/x)-c*e+d*f)/e+2*a*b*(-sin(c+d/x)/(e*(c+d/x)-c*e+d*f)/e+(Si(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e+Ci(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e)/e)-1/2*b^2/(e*(c+d/x)-c*e+d*f)/e-1/4*b^2*(-2*cos(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)/e-2*(2*Si(2*d/x+2*c+2*(-c*e+d*f)/e)*cos(2*(-c*e+d*f)/e)/e-2*Ci(2*d/x+2*c+2*(-c*e+d*f)/e)*sin(2*(-c*e+d*f)/e)/e)/e))","A"
298,1,1124,466,0.096000," ","int((a+b*sin(c+d/x))^2/(f*x+e)^3,x)","-d \left(-\frac{a^{2}}{e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}-\frac{a^{2} \left(c e -d f \right)}{2 e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2}}+\frac{2 \left(c e -d f \right) a b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}+\frac{-\frac{\cos \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}-\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}}{e}}{2 e}\right)}{e}+\frac{2 a b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}+\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}}{e}\right)}{e}-\frac{b^{2}}{2 e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)}-\frac{\left(c e -d f \right) b^{2}}{4 e^{2} \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2}}-\frac{\left(c e -d f \right) b^{2} \left(-\frac{\cos \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}-\frac{-\frac{2 \sin \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{4 \Si \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \sin \left(\frac{-2 c e +2 d f}{e}\right)}{e}+\frac{4 \Ci \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \cos \left(\frac{-2 c e +2 d f}{e}\right)}{e}}{e}}{e}\right)}{4 e}-\frac{b^{2} \left(-\frac{2 \cos \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{2 \left(\frac{2 \Si \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \cos \left(\frac{-2 c e +2 d f}{e}\right)}{e}-\frac{2 \Ci \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \sin \left(\frac{-2 c e +2 d f}{e}\right)}{e}\right)}{e}\right)}{4 e}+\frac{c \,a^{2}}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}-2 c a b \left(-\frac{\sin \left(c +\frac{d}{x}\right)}{2 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}+\frac{-\frac{\cos \left(c +\frac{d}{x}\right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}-\frac{\frac{\Si \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \cos \left(\frac{-c e +d f}{e}\right)}{e}-\frac{\Ci \left(\frac{d}{x}+c +\frac{-c e +d f}{e}\right) \sin \left(\frac{-c e +d f}{e}\right)}{e}}{e}}{2 e}\right)+\frac{c \,b^{2}}{4 \left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}+\frac{c \,b^{2} \left(-\frac{\cos \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right)^{2} e}-\frac{-\frac{2 \sin \left(\frac{2 d}{x}+2 c \right)}{\left(e \left(c +\frac{d}{x}\right)-c e +d f \right) e}+\frac{\frac{4 \Si \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \sin \left(\frac{-2 c e +2 d f}{e}\right)}{e}+\frac{4 \Ci \left(\frac{2 d}{x}+2 c +\frac{-2 c e +2 d f}{e}\right) \cos \left(\frac{-2 c e +2 d f}{e}\right)}{e}}{e}}{e}\right)}{4}\right)"," ",0,"-d*(-a^2/e^2/(e*(c+d/x)-c*e+d*f)-1/2*a^2*(c*e-d*f)/e^2/(e*(c+d/x)-c*e+d*f)^2+2*(c*e-d*f)/e*a*b*(-1/2*sin(c+d/x)/(e*(c+d/x)-c*e+d*f)^2/e+1/2*(-cos(c+d/x)/(e*(c+d/x)-c*e+d*f)/e-(Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e-Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e)/e)/e)+2*a*b/e*(-sin(c+d/x)/(e*(c+d/x)-c*e+d*f)/e+(Si(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e+Ci(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e)/e)-1/2*b^2/e^2/(e*(c+d/x)-c*e+d*f)-1/4*(c*e-d*f)/e^2*b^2/(e*(c+d/x)-c*e+d*f)^2-1/4*(c*e-d*f)/e*b^2*(-cos(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)^2/e-(-2*sin(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)/e+2*(2*Si(2*d/x+2*c+2*(-c*e+d*f)/e)*sin(2*(-c*e+d*f)/e)/e+2*Ci(2*d/x+2*c+2*(-c*e+d*f)/e)*cos(2*(-c*e+d*f)/e)/e)/e)/e)-1/4*b^2/e*(-2*cos(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)/e-2*(2*Si(2*d/x+2*c+2*(-c*e+d*f)/e)*cos(2*(-c*e+d*f)/e)/e-2*Ci(2*d/x+2*c+2*(-c*e+d*f)/e)*sin(2*(-c*e+d*f)/e)/e)/e)+1/2*c*a^2/(e*(c+d/x)-c*e+d*f)^2/e-2*c*a*b*(-1/2*sin(c+d/x)/(e*(c+d/x)-c*e+d*f)^2/e+1/2*(-cos(c+d/x)/(e*(c+d/x)-c*e+d*f)/e-(Si(d/x+c+(-c*e+d*f)/e)*cos((-c*e+d*f)/e)/e-Ci(d/x+c+(-c*e+d*f)/e)*sin((-c*e+d*f)/e)/e)/e)/e)+1/4*c*b^2/(e*(c+d/x)-c*e+d*f)^2/e+1/4*c*b^2*(-cos(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)^2/e-(-2*sin(2*d/x+2*c)/(e*(c+d/x)-c*e+d*f)/e+2*(2*Si(2*d/x+2*c+2*(-c*e+d*f)/e)*sin(2*(-c*e+d*f)/e)/e+2*Ci(2*d/x+2*c+2*(-c*e+d*f)/e)*cos(2*(-c*e+d*f)/e)/e)/e)/e))","B"
299,0,0,24,1.523000," ","int((f*x+e)^2/(a+b*sin(c+d/x)),x)","\int \frac{\left(f x +e \right)^{2}}{a +b \sin \left(c +\frac{d}{x}\right)}\, dx"," ",0,"int((f*x+e)^2/(a+b*sin(c+d/x)),x)","F"
300,0,0,22,1.429000," ","int((f*x+e)/(a+b*sin(c+d/x)),x)","\int \frac{f x +e}{a +b \sin \left(c +\frac{d}{x}\right)}\, dx"," ",0,"int((f*x+e)/(a+b*sin(c+d/x)),x)","F"
301,0,0,16,0.231000," ","int(1/(a+b*sin(c+d/x)),x)","\int \frac{1}{a +b \sin \left(c +\frac{d}{x}\right)}\, dx"," ",0,"int(1/(a+b*sin(c+d/x)),x)","F"
302,0,0,22,0.002000," ","int((f*x+e)/(a+b*sin(c+d/x)),x)","\int \frac{f x +e}{a +b \sin \left(c +\frac{d}{x}\right)}\, dx"," ",0,"int((f*x+e)/(a+b*sin(c+d/x)),x)","F"
303,0,0,24,0.003000," ","int((f*x+e)^2/(a+b*sin(c+d/x)),x)","\int \frac{\left(f x +e \right)^{2}}{a +b \sin \left(c +\frac{d}{x}\right)}\, dx"," ",0,"int((f*x+e)^2/(a+b*sin(c+d/x)),x)","F"
304,0,0,24,5.011000," ","int((f*x+e)^2/(a+b*sin(c+d/x))^2,x)","\int \frac{\left(f x +e \right)^{2}}{\left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{2}}\, dx"," ",0,"int((f*x+e)^2/(a+b*sin(c+d/x))^2,x)","F"
305,0,0,22,3.787000," ","int((f*x+e)/(a+b*sin(c+d/x))^2,x)","\int \frac{f x +e}{\left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{2}}\, dx"," ",0,"int((f*x+e)/(a+b*sin(c+d/x))^2,x)","F"
306,0,0,16,3.128000," ","int(1/(a+b*sin(c+d/x))^2,x)","\int \frac{1}{\left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*sin(c+d/x))^2,x)","F"
307,0,0,22,0.003000," ","int((f*x+e)/(a+b*sin(c+d/x))^2,x)","\int \frac{f x +e}{\left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{2}}\, dx"," ",0,"int((f*x+e)/(a+b*sin(c+d/x))^2,x)","F"
308,0,0,24,0.003000," ","int((f*x+e)^2/(a+b*sin(c+d/x))^2,x)","\int \frac{\left(f x +e \right)^{2}}{\left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{2}}\, dx"," ",0,"int((f*x+e)^2/(a+b*sin(c+d/x))^2,x)","F"
309,0,0,24,0.638000," ","int((f*x+e)^m*(a+b*sin(c+d/x))^p,x)","\int \left(f x +e \right)^{m} \left(a +b \sin \left(c +\frac{d}{x}\right)\right)^{p}\, dx"," ",0,"int((f*x+e)^m*(a+b*sin(c+d/x))^p,x)","F"
310,0,0,101,0.299000," ","int(x^m*(c*sin(b*x+a)^3)^(1/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(b x +a \right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x^m*(c*sin(b*x+a)^3)^(1/3),x)","F"
311,1,151,88,0.194000," ","int(x^3*(c*sin(b*x+a)^3)^(1/3),x)","-\frac{i \left(b^{3} x^{3}+3 i b^{2} x^{2}-6 b x -6 i\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 b^{4} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} \left(b^{3} x^{3}-3 i b^{2} x^{2}-6 b x +6 i\right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right) b^{4}}"," ",0,"-1/2*I/b^4*(b^3*x^3+3*I*b^2*x^2-6*b*x-6*I)/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*exp(2*I*(b*x+a))-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*(b^3*x^3-3*I*b^2*x^2-6*b*x+6*I)/b^4","C"
312,1,133,68,0.185000," ","int(x^2*(c*sin(b*x+a)^3)^(1/3),x)","-\frac{i \left(x^{2} b^{2}+2 i b x -2\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 b^{3} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} \left(x^{2} b^{2}-2 i b x -2\right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right) b^{3}}"," ",0,"-1/2*I/b^3*(x^2*b^2+2*I*b*x-2)/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*exp(2*I*(b*x+a))-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*(x^2*b^2-2*I*b*x-2)/b^3","C"
313,1,117,41,0.177000," ","int(x*(c*sin(b*x+a)^3)^(1/3),x)","-\frac{i \left(b x +i\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 b^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} \left(b x -i\right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right) b^{2}}"," ",0,"-1/2*I/b^2*(b*x+I)/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*exp(2*I*(b*x+a))-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*(b*x-I)/b^2","C"
314,1,105,23,0.263000," ","int((c*sin(b*x+a)^3)^(1/3),x)","-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 b \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}}}{2 b \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}"," ",0,"-1/2*I/b/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*exp(2*I*(b*x+a))-1/2*I/b/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)","C"
315,1,228,51,0.187000," ","int((c*sin(b*x+a)^3)^(1/3)/x,x)","-\frac{\Ei \left(1, -i b x \right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i \left(b x +2 a \right)}}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b x} \pi  \,\mathrm{csgn}\left(b x \right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b x} \Si \left(b x \right)}{{\mathrm e}^{2 i \left(b x +a \right)}-1}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b x} \Ei \left(1, -i b x \right)}{2 \,{\mathrm e}^{2 i \left(b x +a \right)}-2}"," ",0,"-1/2*Ei(1,-I*b*x)/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*exp(I*(b*x+2*a))-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*exp(I*b*x)*Pi*csgn(b*x)+I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*exp(I*b*x)*Si(b*x)+1/2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*exp(I*b*x)*Ei(1,-I*b*x)","C"
316,1,155,71,0.203000," ","int((c*sin(b*x+a)^3)^(1/3)/x^2,x)","\frac{i b \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} \left(\frac{i {\mathrm e}^{2 i \left(b x +a \right)}}{b x}-\Ei \left(1, -i b x \right) {\mathrm e}^{i \left(b x +2 a \right)}\right)}{2 \,{\mathrm e}^{2 i \left(b x +a \right)}-2}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} b \left(\frac{i}{b x}+{\mathrm e}^{i b x} \Ei \left(1, i b x \right)\right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}"," ",0,"1/2*I*b/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*(I/b/x*exp(2*I*(b*x+a))-Ei(1,-I*b*x)*exp(I*(b*x+2*a)))-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*b*(I/b/x+exp(I*b*x)*Ei(1,I*b*x))","C"
317,1,183,100,0.199000," ","int((c*sin(b*x+a)^3)^(1/3)/x^3,x)","-\frac{b^{2} \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} \left(\frac{{\mathrm e}^{2 i \left(b x +a \right)}}{2 x^{2} b^{2}}+\frac{i {\mathrm e}^{2 i \left(b x +a \right)}}{2 b x}-\frac{\Ei \left(1, -i b x \right) {\mathrm e}^{i \left(b x +2 a \right)}}{2}\right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{1}{3}} b^{2} \left(\frac{1}{2 x^{2} b^{2}}-\frac{i}{2 b x}-\frac{{\mathrm e}^{i b x} \Ei \left(1, i b x \right)}{2}\right)}{2 \,{\mathrm e}^{2 i \left(b x +a \right)}-2}"," ",0,"-1/2*b^2/(exp(2*I*(b*x+a))-1)*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)*(1/2/x^2/b^2*exp(2*I*(b*x+a))+1/2*I/b/x*exp(2*I*(b*x+a))-1/2*Ei(1,-I*b*x)*exp(I*(b*x+2*a)))+1/2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(1/3)/(exp(2*I*(b*x+a))-1)*b^2*(1/2/x^2/b^2-1/2*I/b/x-1/2*exp(I*b*x)*Ei(1,I*b*x))","C"
318,0,0,125,0.342000," ","int(x^m*(c*sin(b*x^2+a)^3)^(1/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(b \,x^{2}+a \right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x^m*(c*sin(b*x^2+a)^3)^(1/3),x)","F"
319,1,135,50,0.223000," ","int(x^3*(c*sin(b*x^2+a)^3)^(1/3),x)","-\frac{i \left(b \,x^{2}+i\right) \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{4 b^{2} \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} \left(b \,x^{2}-i\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right) b^{2}}"," ",0,"-1/4*I/b^2*(b*x^2+I)/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*exp(2*I*(b*x^2+a))-1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*(b*x^2-I)/b^2","C"
320,1,240,123,0.280000," ","int(x^2*(c*sin(b*x^2+a)^3)^(1/3),x)","\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} \left(-\frac{i x \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{2 b}+\frac{i \sqrt{\pi}\, \erf \left(\sqrt{-i b}\, x \right) {\mathrm e}^{i \left(b \,x^{2}+2 a \right)}}{4 b \sqrt{-i b}}\right)}{2 \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-2}-\frac{i x \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}}}{4 b \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} \sqrt{\pi}\, \erf \left(\sqrt{i b}\, x \right)}{8 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right) b \sqrt{i b}}"," ",0,"1/2/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*(-1/2*I/b*x*exp(2*I*(b*x^2+a))+1/4*I/b*Pi^(1/2)/(-I*b)^(1/2)*erf((-I*b)^(1/2)*x)*exp(I*(b*x^2+2*a)))-1/4*I*x/b/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)+1/8*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)/b*Pi^(1/2)/(I*b)^(1/2)*erf((I*b)^(1/2)*x)","C"
321,1,119,27,0.276000," ","int(x*(c*sin(b*x^2+a)^3)^(1/3),x)","-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{4 b \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}}}{4 b \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}"," ",0,"-1/4*I/b/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*exp(2*I*(b*x^2+a))-1/4*I/b/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)","C"
322,1,157,95,0.231000," ","int((c*sin(b*x^2+a)^3)^(1/3),x)","\frac{\erf \left(\sqrt{-i b}\, x \right) \sqrt{\pi}\, \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i \left(b \,x^{2}+2 a \right)}}{4 \sqrt{-i b}\, \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}-\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} \sqrt{\pi}\, \erf \left(\sqrt{i b}\, x \right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right) \sqrt{i b}}"," ",0,"1/4*erf((-I*b)^(1/2)*x)/(-I*b)^(1/2)*Pi^(1/2)/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*exp(I*(b*x^2+2*a))-1/4*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*Pi^(1/2)/(I*b)^(1/2)*erf((I*b)^(1/2)*x)","C"
323,1,268,65,0.218000," ","int((c*sin(b*x^2+a)^3)^(1/3)/x,x)","-\frac{\Ei \left(1, -i b \,x^{2}\right) \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i \left(b \,x^{2}+2 a \right)}}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} \pi  \,\mathrm{csgn}\left(b \,x^{2}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} \Si \left(b \,x^{2}\right)}{2 \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-2}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} \Ei \left(1, -i b \,x^{2}\right)}{4 \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-4}"," ",0,"-1/4*Ei(1,-I*b*x^2)/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*exp(I*(b*x^2+2*a))-1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*Pi*csgn(b*x^2)+1/2*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*Si(b*x^2)+1/4*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*Ei(1,-I*b*x^2)","C"
324,1,232,113,0.237000," ","int((c*sin(b*x^2+a)^3)^(1/3)/x^2,x)","\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} \left(-\frac{{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{x}+\frac{i b \sqrt{\pi}\, \erf \left(\sqrt{-i b}\, x \right) {\mathrm e}^{i \left(b \,x^{2}+2 a \right)}}{\sqrt{-i b}}\right)}{2 \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-2}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}}}{2 x \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} b \sqrt{\pi}\, \erf \left(\sqrt{i b}\, x \right)}{2 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right) \sqrt{i b}}"," ",0,"1/2/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*(-1/x*exp(2*I*(b*x^2+a))+I*b*Pi^(1/2)/(-I*b)^(1/2)*erf((-I*b)^(1/2)*x)*exp(I*(b*x^2+2*a)))+1/2/x/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)+1/2*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*b*Pi^(1/2)/(I*b)^(1/2)*erf((I*b)^(1/2)*x)","C"
325,1,214,86,0.229000," ","int((c*sin(b*x^2+a)^3)^(1/3)/x^3,x)","\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} \left(-\frac{{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{2 x^{2}}-\frac{i b \Ei \left(1, -i b \,x^{2}\right) {\mathrm e}^{i \left(b \,x^{2}+2 a \right)}}{2}\right)}{2 \,{\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-2}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}}}{4 x^{2} \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{2}} b \Ei \left(1, i b \,x^{2}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)}"," ",0,"1/2/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)*(-1/2/x^2*exp(2*I*(b*x^2+a))-1/2*I*b*Ei(1,-I*b*x^2)*exp(I*(b*x^2+2*a)))+1/4/x^2/(exp(2*I*(b*x^2+a))-1)*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)-1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(1/3)/(exp(2*I*(b*x^2+a))-1)*exp(I*b*x^2)*b*Ei(1,I*b*x^2)","C"
326,0,0,143,0.493000," ","int(x^m*(c*sin(a+b*x^n)^3)^(1/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x^m*(c*sin(a+b*x^n)^3)^(1/3),x)","F"
327,0,0,131,0.253000," ","int(x^3*(c*sin(a+b*x^n)^3)^(1/3),x)","\int x^{3} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x^3*(c*sin(a+b*x^n)^3)^(1/3),x)","F"
328,0,0,131,0.356000," ","int(x^2*(c*sin(a+b*x^n)^3)^(1/3),x)","\int x^{2} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x^2*(c*sin(a+b*x^n)^3)^(1/3),x)","F"
329,0,0,131,0.312000," ","int(x*(c*sin(a+b*x^n)^3)^(1/3),x)","\int x \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int(x*(c*sin(a+b*x^n)^3)^(1/3),x)","F"
330,0,0,119,0.284000," ","int((c*sin(a+b*x^n)^3)^(1/3),x)","\int \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(1/3),x)","F"
331,1,280,69,0.342000," ","int((c*sin(a+b*x^n)^3)^(1/3)/x,x)","-\frac{\Ei \left(1, -i b \,x^{n}\right) \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{1}{3}} {\mathrm e}^{i \left(b \,x^{n}+2 a \right)}}{2 n \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{n}} \pi  \,\mathrm{csgn}\left(b \,x^{n}\right)}{2 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right) n}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{n}} \Si \left(b \,x^{n}\right)}{\left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right) n}+\frac{\left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{1}{3}} {\mathrm e}^{i b \,x^{n}} \Ei \left(1, -i b \,x^{n}\right)}{2 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right) n}"," ",0,"-1/2*Ei(1,-I*b*x^n)/n/(exp(2*I*(a+b*x^n))-1)*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(1/3)*exp(I*(b*x^n+2*a))-1/2*I*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(1/3)/(exp(2*I*(a+b*x^n))-1)*exp(I*b*x^n)/n*Pi*csgn(b*x^n)+I*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(1/3)/(exp(2*I*(a+b*x^n))-1)*exp(I*b*x^n)/n*Si(b*x^n)+1/2*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(1/3)/(exp(2*I*(a+b*x^n))-1)*exp(I*b*x^n)/n*Ei(1,-I*b*x^n)","C"
332,0,0,123,0.355000," ","int((c*sin(a+b*x^n)^3)^(1/3)/x^2,x)","\int \frac{\left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}}{x^{2}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(1/3)/x^2,x)","F"
333,0,0,127,0.251000," ","int((c*sin(a+b*x^n)^3)^(1/3)/x^3,x)","\int \frac{\left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{1}{3}}}{x^{3}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(1/3)/x^3,x)","F"
334,0,0,153,0.309000," ","int(x^m*(c*sin(b*x+a)^3)^(2/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(b x +a \right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x^m*(c*sin(b*x+a)^3)^(2/3),x)","F"
335,1,208,141,0.196000," ","int(x^3*(c*sin(b*x+a)^3)^(2/3),x)","-\frac{x^{4} \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{8 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{i \left(4 b^{3} x^{3}+6 i b^{2} x^{2}-6 b x -3 i\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b x +a \right)}}{32 b^{4} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} \left(4 b^{3} x^{3}-6 i b^{2} x^{2}-6 b x +3 i\right)}{32 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2} b^{4}}"," ",0,"-1/8*x^4/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))-1/32*I/b^4*(4*b^3*x^3+6*I*b^2*x^2-6*b*x-3*I)/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(4*I*(b*x+a))+1/32*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*(4*b^3*x^3-6*I*b^2*x^2-6*b*x+3*I)/b^4","C"
336,1,190,119,0.182000," ","int(x^2*(c*sin(b*x+a)^3)^(2/3),x)","-\frac{x^{3} \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{6 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{i \left(2 x^{2} b^{2}+2 i b x -1\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b x +a \right)}}{16 b^{3} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} \left(2 x^{2} b^{2}-2 i b x -1\right)}{16 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2} b^{3}}"," ",0,"-1/6*x^3/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))-1/16*I/b^3*(2*x^2*b^2+2*I*b*x-1)/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(4*I*(b*x+a))+1/16*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*(2*x^2*b^2-2*I*b*x-1)/b^3","C"
337,1,174,67,0.177000," ","int(x*(c*sin(b*x+a)^3)^(2/3),x)","-\frac{x^{2} \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{i \left(2 b x +i\right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b x +a \right)}}{16 b^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} \left(2 b x -i\right)}{16 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2} b^{2}}"," ",0,"-1/4*x^2/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))-1/16*I/b^2*(2*b*x+I)/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(4*I*(b*x+a))+1/16*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*(2*b*x-I)/b^2","C"
338,1,158,47,0.273000," ","int((c*sin(b*x+a)^3)^(2/3),x)","-\frac{x \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b x +a \right)}}{8 b \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}}}{8 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2} b}"," ",0,"-1/2*x/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))-1/8*I/b/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(4*I*(b*x+a))+1/8*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2/b","C"
339,1,283,87,0.188000," ","int((c*sin(b*x+a)^3)^(2/3)/x,x)","\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b x} \pi  \,\mathrm{csgn}\left(b x \right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b x} \Si \left(2 b x \right)}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b x} \Ei \left(1, -2 i b x \right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{\Ei \left(1, -2 i b x \right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +2 a \right)}}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{\ln \left(x \right) \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}"," ",0,"1/4*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*exp(2*I*b*x)*Pi*csgn(b*x)-1/2*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*exp(2*I*b*x)*Si(2*b*x)-1/4*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*exp(2*I*b*x)*Ei(1,-2*I*b*x)-1/4*Ei(1,-2*I*b*x)/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+2*a))-1/2*ln(x)/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))","C"
340,1,211,80,0.202000," ","int((c*sin(b*x+a)^3)^(2/3)/x^2,x)","\frac{i \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} b \left(\frac{i}{b x}+2 \,{\mathrm e}^{2 i b x} \Ei \left(1, 2 i b x \right)\right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{i b \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} \left(\frac{i {\mathrm e}^{4 i \left(b x +a \right)}}{x b}-2 \Ei \left(1, -2 i b x \right) {\mathrm e}^{2 i \left(b x +2 a \right)}\right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{2 x \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}"," ",0,"1/4*I*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*b*(I/b/x+2*exp(2*I*b*x)*Ei(1,2*I*b*x))+1/4*I*b/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*(I/x/b*exp(4*I*(b*x+a))-2*Ei(1,-2*I*b*x)*exp(2*I*(b*x+2*a)))+1/2/x/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))","C"
341,1,238,109,0.197000," ","int((c*sin(b*x+a)^3)^(2/3)/x^3,x)","-\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} b^{2} \left(\frac{1}{2 x^{2} b^{2}}-\frac{i}{b x}-2 \,{\mathrm e}^{2 i b x} \Ei \left(1, 2 i b x \right)\right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}-\frac{b^{2} \left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} \left(\frac{{\mathrm e}^{4 i \left(b x +a \right)}}{2 x^{2} b^{2}}+\frac{i {\mathrm e}^{4 i \left(b x +a \right)}}{x b}-2 \Ei \left(1, -2 i b x \right) {\mathrm e}^{2 i \left(b x +2 a \right)}\right)}{4 \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b x +a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b x +a \right)}}{4 x^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}-1\right)^{2}}"," ",0,"-1/4*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)/(exp(2*I*(b*x+a))-1)^2*b^2*(1/2/x^2/b^2-I/b/x-2*exp(2*I*b*x)*Ei(1,2*I*b*x))-1/4*b^2/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*(1/2/x^2/b^2*exp(4*I*(b*x+a))+I/x/b*exp(4*I*(b*x+a))-2*Ei(1,-2*I*b*x)*exp(2*I*(b*x+2*a)))+1/4/x^2/(exp(2*I*(b*x+a))-1)^2*(I*c*(exp(2*I*(b*x+a))-1)^3*exp(-3*I*(b*x+a)))^(2/3)*exp(2*I*(b*x+a))","C"
342,0,0,175,0.314000," ","int(x^m*(c*sin(b*x^2+a)^3)^(2/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(b \,x^{2}+a \right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x^m*(c*sin(b*x^2+a)^3)^(2/3),x)","F"
343,1,200,79,0.225000," ","int(x^3*(c*sin(b*x^2+a)^3)^(2/3),x)","-\frac{x^{4} \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{8 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{i \left(2 b \,x^{2}+i\right) \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b \,x^{2}+a \right)}}{32 b^{2} \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} \left(2 b \,x^{2}-i\right)}{32 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2} b^{2}}"," ",0,"-1/8*x^4/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))-1/32*I/b^2*(2*b*x^2+I)/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(4*I*(b*x^2+a))+1/32*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*(2*b*x^2-I)/b^2","C"
344,1,309,163,0.270000," ","int(x^2*(c*sin(b*x^2+a)^3)^(2/3),x)","\frac{i x \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}}}{16 b \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} \sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{i b}\, x \right)}{64 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2} b \sqrt{i b}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} \left(-\frac{i x \,{\mathrm e}^{4 i \left(b \,x^{2}+a \right)}}{4 b}+\frac{i \sqrt{\pi}\, \erf \left(\sqrt{-2 i b}\, x \right) {\mathrm e}^{2 i \left(b \,x^{2}+2 a \right)}}{8 b \sqrt{-2 i b}}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{x^{3} \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{6 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}"," ",0,"1/16*I*x/b/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)-1/64*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)/b*Pi^(1/2)*2^(1/2)/(I*b)^(1/2)*erf(2^(1/2)*(I*b)^(1/2)*x)+1/4/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*(-1/4*I*x/b*exp(4*I*(b*x^2+a))+1/8*I/b*Pi^(1/2)/(-2*I*b)^(1/2)*erf((-2*I*b)^(1/2)*x)*exp(2*I*(b*x^2+2*a)))-1/6*x^3/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))","C"
345,1,182,57,0.276000," ","int(x*(c*sin(b*x^2+a)^3)^(2/3),x)","-\frac{x^{2} \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{4 i \left(b \,x^{2}+a \right)}}{16 b \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}}}{16 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2} b}"," ",0,"-1/4*x^2/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))-1/16*I/b/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(4*I*(b*x^2+a))+1/16*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2/b","C"
346,1,224,120,0.254000," ","int((c*sin(b*x^2+a)^3)^(2/3),x)","\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} \sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{i b}\, x \right)}{16 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2} \sqrt{i b}}+\frac{\erf \left(\sqrt{-2 i b}\, x \right) \sqrt{\pi}\, \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+2 a \right)}}{8 \sqrt{-2 i b}\, \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{x \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{2 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}"," ",0,"1/16*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*Pi^(1/2)*2^(1/2)/(I*b)^(1/2)*erf(2^(1/2)*(I*b)^(1/2)*x)+1/8*erf((-2*I*b)^(1/2)*x)/(-2*I*b)^(1/2)*Pi^(1/2)/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+2*a))-1/2*x/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))","C"
347,1,331,103,0.224000," ","int((c*sin(b*x^2+a)^3)^(2/3)/x,x)","\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} \pi  \,\mathrm{csgn}\left(b \,x^{2}\right)}{8 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} \Si \left(2 b \,x^{2}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} \Ei \left(1, -2 i b \,x^{2}\right)}{8 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{\Ei \left(1, -2 i b \,x^{2}\right) \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+2 a \right)}}{8 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{\ln \left(x \right) \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{2 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}"," ",0,"1/8*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*Pi*csgn(b*x^2)-1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*Si(2*b*x^2)-1/8*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*Ei(1,-2*I*b*x^2)-1/8*Ei(1,-2*I*b*x^2)/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+2*a))-1/2*ln(x)/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))","C"
348,1,301,110,0.246000," ","int((c*sin(b*x^2+a)^3)^(2/3)/x^2,x)","-\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}}}{4 x \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} b \sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{i b}\, x \right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2} \sqrt{i b}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} \left(-\frac{{\mathrm e}^{4 i \left(b \,x^{2}+a \right)}}{x}+\frac{2 i b \sqrt{\pi}\, \erf \left(\sqrt{-2 i b}\, x \right) {\mathrm e}^{2 i \left(b \,x^{2}+2 a \right)}}{\sqrt{-2 i b}}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{2 x \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}"," ",0,"-1/4/x/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)-1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*b*Pi^(1/2)*2^(1/2)/(I*b)^(1/2)*erf(2^(1/2)*(I*b)^(1/2)*x)+1/4/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*(-1/x*exp(4*I*(b*x^2+a))+2*I*b*Pi^(1/2)/(-2*I*b)^(1/2)*erf((-2*I*b)^(1/2)*x)*exp(2*I*(b*x^2+2*a)))+1/2/x/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))","C"
349,1,277,146,0.227000," ","int((c*sin(b*x^2+a)^3)^(2/3)/x^3,x)","-\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}}}{8 x^{2} \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{i \left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{2}} b \Ei \left(1, 2 i b \,x^{2}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} \left(-\frac{{\mathrm e}^{4 i \left(b \,x^{2}+a \right)}}{2 x^{2}}-i b \Ei \left(1, -2 i b \,x^{2}\right) {\mathrm e}^{2 i \left(b \,x^{2}+2 a \right)}\right)}{4 \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}+\frac{\left(i c \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{3} {\mathrm e}^{-3 i \left(b \,x^{2}+a \right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{2}+a \right)}}{4 x^{2} \left({\mathrm e}^{2 i \left(b \,x^{2}+a \right)}-1\right)^{2}}"," ",0,"-1/8/x^2/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)+1/4*I*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)/(exp(2*I*(b*x^2+a))-1)^2*exp(2*I*b*x^2)*b*Ei(1,2*I*b*x^2)+1/4/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*(-1/2/x^2*exp(4*I*(b*x^2+a))-I*b*Ei(1,-2*I*b*x^2)*exp(2*I*(b*x^2+2*a)))+1/4/x^2/(exp(2*I*(b*x^2+a))-1)^2*(I*c*(exp(2*I*(b*x^2+a))-1)^3*exp(-3*I*(b*x^2+a)))^(2/3)*exp(2*I*(b*x^2+a))","C"
350,0,0,207,0.418000," ","int(x^m*(c*sin(a+b*x^n)^3)^(2/3),x)","\int x^{m} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x^m*(c*sin(a+b*x^n)^3)^(2/3),x)","F"
351,0,0,178,0.271000," ","int(x^3*(c*sin(a+b*x^n)^3)^(2/3),x)","\int x^{3} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x^3*(c*sin(a+b*x^n)^3)^(2/3),x)","F"
352,0,0,178,0.342000," ","int(x^2*(c*sin(a+b*x^n)^3)^(2/3),x)","\int x^{2} \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x^2*(c*sin(a+b*x^n)^3)^(2/3),x)","F"
353,0,0,178,0.407000," ","int(x*(c*sin(a+b*x^n)^3)^(2/3),x)","\int x \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int(x*(c*sin(a+b*x^n)^3)^(2/3),x)","F"
354,0,0,164,0.351000," ","int((c*sin(a+b*x^n)^3)^(2/3),x)","\int \left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(2/3),x)","F"
355,1,343,109,0.361000," ","int((c*sin(a+b*x^n)^3)^(2/3)/x,x)","\frac{i \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{n}} \pi  \,\mathrm{csgn}\left(b \,x^{n}\right)}{4 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{2} n}-\frac{i \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{n}} \Si \left(2 b \,x^{n}\right)}{2 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{2} n}-\frac{\left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i b \,x^{n}} \Ei \left(1, -2 i b \,x^{n}\right)}{4 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{2} n}-\frac{\Ei \left(1, -2 i b \,x^{n}\right) \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(b \,x^{n}+2 a \right)}}{4 n \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{2}}-\frac{\ln \left(x \right) \left(i c \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{3} {\mathrm e}^{-3 i \left(a +b \,x^{n}\right)}\right)^{\frac{2}{3}} {\mathrm e}^{2 i \left(a +b \,x^{n}\right)}}{2 \left({\mathrm e}^{2 i \left(a +b \,x^{n}\right)}-1\right)^{2}}"," ",0,"1/4*I*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(2/3)/(exp(2*I*(a+b*x^n))-1)^2*exp(2*I*b*x^n)/n*Pi*csgn(b*x^n)-1/2*I*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(2/3)/(exp(2*I*(a+b*x^n))-1)^2*exp(2*I*b*x^n)/n*Si(2*b*x^n)-1/4*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(2/3)/(exp(2*I*(a+b*x^n))-1)^2*exp(2*I*b*x^n)/n*Ei(1,-2*I*b*x^n)-1/4*Ei(1,-2*I*b*x^n)/n/(exp(2*I*(a+b*x^n))-1)^2*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(2/3)*exp(2*I*(b*x^n+2*a))-1/2*ln(x)/(exp(2*I*(a+b*x^n))-1)^2*(I*c*(exp(2*I*(a+b*x^n))-1)^3*exp(-3*I*(a+b*x^n)))^(2/3)*exp(2*I*(a+b*x^n))","C"
356,0,0,166,0.346000," ","int((c*sin(a+b*x^n)^3)^(2/3)/x^2,x)","\int \frac{\left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(2/3)/x^2,x)","F"
357,0,0,170,0.267000," ","int((c*sin(a+b*x^n)^3)^(2/3)/x^3,x)","\int \frac{\left(c \left(\sin^{3}\left(a +b \,x^{n}\right)\right)\right)^{\frac{2}{3}}}{x^{3}}\, dx"," ",0,"int((c*sin(a+b*x^n)^3)^(2/3)/x^3,x)","F"