1,1,31,30,0.023000," ","int(x^3*cos(b*x^2+a),x)","\frac{\cos \left(b \,x^{2}+a \right)}{2 b^{2}}+\frac{x^{2} \sin \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2*cos(b*x^2+a)/b^2+1/2*x^2*sin(b*x^2+a)/b","A"
2,1,58,65,0.020000," ","int(x^2*cos(b*x^2+a),x)","\frac{x \sin \left(b \,x^{2}+a \right)}{2 b}-\frac{\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)}{4 b^{\frac{3}{2}}}"," ",0,"1/2*x*sin(b*x^2+a)/b-1/4/b^(3/2)*2^(1/2)*Pi^(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)))","A"
3,1,14,13,0.020000," ","int(x*cos(b*x^2+a),x)","\frac{\sin \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2*sin(b*x^2+a)/b","A"
4,1,44,51,0.019000," ","int(cos(b*x^2+a),x)","\frac{\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)}{2 \sqrt{b}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/b^(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)))","A"
5,1,22,21,0.024000," ","int(cos(b*x^2+a)/x,x)","\frac{\Ci \left(b \,x^{2}\right) \cos \left(a \right)}{2}-\frac{\Si \left(b \,x^{2}\right) \sin \left(a \right)}{2}"," ",0,"1/2*Ci(b*x^2)*cos(a)-1/2*Si(b*x^2)*sin(a)","A"
6,1,57,64,0.026000," ","int(cos(b*x^2+a)/x^2,x)","-\frac{\cos \left(b \,x^{2}+a \right)}{x}-\sqrt{b}\, \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)"," ",0,"-cos(b*x^2+a)/x-b^(1/2)*2^(1/2)*Pi^(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)))","A"
7,1,39,36,0.022000," ","int(cos(b*x^2+a)/x^3,x)","-\frac{\cos \left(b \,x^{2}+a \right)}{2 x^{2}}-b \left(\frac{\cos \left(a \right) \Si \left(b \,x^{2}\right)}{2}+\frac{\sin \left(a \right) \Ci \left(b \,x^{2}\right)}{2}\right)"," ",0,"-1/2*cos(b*x^2+a)/x^2-b*(1/2*cos(a)*Si(b*x^2)+1/2*sin(a)*Ci(b*x^2))","A"
8,1,42,45,0.040000," ","int(x^3*cos(b*x^2+a)^2,x)","\frac{x^{4}}{8}+\frac{x^{2} \sin \left(2 b \,x^{2}+2 a \right)}{8 b}+\frac{\cos \left(2 b \,x^{2}+2 a \right)}{16 b^{2}}"," ",0,"1/8*x^4+1/8/b*x^2*sin(2*b*x^2+2*a)+1/16/b^2*cos(2*b*x^2+2*a)","A"
9,1,63,67,0.035000," ","int(x^2*cos(b*x^2+a)^2,x)","\frac{x^{3}}{6}+\frac{x \sin \left(2 b \,x^{2}+2 a \right)}{8 b}-\frac{\sqrt{\pi}\, \left(\cos \left(2 a \right) \mathrm{S}\left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)+\sin \left(2 a \right) \FresnelC \left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)\right)}{16 b^{\frac{3}{2}}}"," ",0,"1/6*x^3+1/8*x*sin(2*b*x^2+2*a)/b-1/16/b^(3/2)*Pi^(1/2)*(cos(2*a)*FresnelS(2*x*b^(1/2)/Pi^(1/2))+sin(2*a)*FresnelC(2*x*b^(1/2)/Pi^(1/2)))","A"
10,1,34,27,0.028000," ","int(x*cos(b*x^2+a)^2,x)","\frac{\frac{\cos \left(b \,x^{2}+a \right) \sin \left(b \,x^{2}+a \right)}{2}+\frac{b \,x^{2}}{2}+\frac{a}{2}}{2 b}"," ",0,"1/2/b*(1/2*cos(b*x^2+a)*sin(b*x^2+a)+1/2*b*x^2+1/2*a)","A"
11,1,45,48,0.046000," ","int(cos(b*x^2+a)^2,x)","\frac{x}{2}+\frac{\sqrt{\pi}\, \left(\cos \left(2 a \right) \FresnelC \left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)-\sin \left(2 a \right) \mathrm{S}\left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)\right)}{4 \sqrt{b}}"," ",0,"1/2*x+1/4*Pi^(1/2)/b^(1/2)*(cos(2*a)*FresnelC(2*x*b^(1/2)/Pi^(1/2))-sin(2*a)*FresnelS(2*x*b^(1/2)/Pi^(1/2)))","A"
12,1,68,31,0.146000," ","int(cos(b*x^2+a)^2/x,x)","\frac{\ln \left(x \right)}{2}+\frac{i {\mathrm e}^{-2 i a} \mathrm{csgn}\left(b \,x^{2}\right) \pi}{8}-\frac{i {\mathrm e}^{-2 i a} \Si \left(2 b \,x^{2}\right)}{4}-\frac{{\mathrm e}^{-2 i a} \Ei \left(1, -2 i b \,x^{2}\right)}{8}-\frac{{\mathrm e}^{2 i a} \Ei \left(1, -2 i b \,x^{2}\right)}{8}"," ",0,"1/2*ln(x)+1/8*I*exp(-2*I*a)*csgn(b*x^2)*Pi-1/4*I*exp(-2*I*a)*Si(2*b*x^2)-1/8*exp(-2*I*a)*Ei(1,-2*I*b*x^2)-1/8*exp(2*I*a)*Ei(1,-2*I*b*x^2)","C"
13,1,62,60,0.037000," ","int(cos(b*x^2+a)^2/x^2,x)","-\frac{1}{2 x}-\frac{\cos \left(2 b \,x^{2}+2 a \right)}{2 x}-\sqrt{b}\, \sqrt{\pi}\, \left(\cos \left(2 a \right) \mathrm{S}\left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)+\sin \left(2 a \right) \FresnelC \left(\frac{2 x \sqrt{b}}{\sqrt{\pi}}\right)\right)"," ",0,"-1/2/x-1/2/x*cos(2*b*x^2+2*a)-b^(1/2)*Pi^(1/2)*(cos(2*a)*FresnelS(2*x*b^(1/2)/Pi^(1/2))+sin(2*a)*FresnelC(2*x*b^(1/2)/Pi^(1/2)))","A"
14,1,89,50,0.165000," ","int(cos(b*x^2+a)^2/x^3,x)","-\frac{1}{4 x^{2}}+\frac{\pi  \,{\mathrm e}^{-2 i a} \mathrm{csgn}\left(b \,x^{2}\right) b}{4}-\frac{{\mathrm e}^{-2 i a} \Si \left(2 b \,x^{2}\right) b}{2}+\frac{i {\mathrm e}^{-2 i a} \Ei \left(1, -2 i b \,x^{2}\right) b}{4}-\frac{i {\mathrm e}^{2 i a} b \Ei \left(1, -2 i b \,x^{2}\right)}{4}-\frac{\cos \left(2 b \,x^{2}+2 a \right)}{4 x^{2}}"," ",0,"-1/4/x^2+1/4*Pi*exp(-2*I*a)*csgn(b*x^2)*b-1/2*exp(-2*I*a)*Si(2*b*x^2)*b+1/4*I*exp(-2*I*a)*Ei(1,-2*I*b*x^2)*b-1/4*I*exp(2*I*a)*b*Ei(1,-2*I*b*x^2)-1/4*cos(2*b*x^2+2*a)/x^2","C"
15,1,66,71,0.040000," ","int(x^3*cos(b*x^2+a)^3,x)","\frac{3 x^{2} \sin \left(b \,x^{2}+a \right)}{8 b}+\frac{3 \cos \left(b \,x^{2}+a \right)}{8 b^{2}}+\frac{x^{2} \sin \left(3 b \,x^{2}+3 a \right)}{24 b}+\frac{\cos \left(3 b \,x^{2}+3 a \right)}{72 b^{2}}"," ",0,"3/8*x^2*sin(b*x^2+a)/b+3/8*cos(b*x^2+a)/b^2+1/24/b*x^2*sin(3*b*x^2+3*a)+1/72/b^2*cos(3*b*x^2+3*a)","A"
16,1,130,136,0.036000," ","int(x^2*cos(b*x^2+a)^3,x)","\frac{3 x \sin \left(b \,x^{2}+a \right)}{8 b}-\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)}{16 b^{\frac{3}{2}}}+\frac{x \sin \left(3 b \,x^{2}+3 a \right)}{24 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)}{144 b^{\frac{3}{2}}}"," ",0,"3/8*x*sin(b*x^2+a)/b-3/16/b^(3/2)*2^(1/2)*Pi^(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*x*sin(3*b*x^2+3*a)/b-1/144/b^(3/2)*2^(1/2)*Pi^(1/2)*3^(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"
17,1,26,29,0.028000," ","int(x*cos(b*x^2+a)^3,x)","\frac{\left(2+\cos^{2}\left(b \,x^{2}+a \right)\right) \sin \left(b \,x^{2}+a \right)}{6 b}"," ",0,"1/6/b*(2+cos(b*x^2+a)^2)*sin(b*x^2+a)","A"
18,1,101,105,0.035000," ","int(cos(b*x^2+a)^3,x)","\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)}{8 \sqrt{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)}{24 \sqrt{b}}"," ",0,"3/8*2^(1/2)*Pi^(1/2)/b^(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*2^(1/2)*Pi^(1/2)*3^(1/2)/b^(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"
19,1,125,47,0.171000," ","int(cos(b*x^2+a)^3/x,x)","\frac{i {\mathrm e}^{-3 i a} \pi  \,\mathrm{csgn}\left(b \,x^{2}\right)}{16}-\frac{i {\mathrm e}^{-3 i a} \Si \left(3 b \,x^{2}\right)}{8}-\frac{{\mathrm e}^{-3 i a} \Ei \left(1, -3 i b \,x^{2}\right)}{16}+\frac{3 i \pi  \,\mathrm{csgn}\left(b \,x^{2}\right) {\mathrm e}^{-i a}}{16}-\frac{3 i {\mathrm e}^{-i a} \Si \left(b \,x^{2}\right)}{8}-\frac{3 \,{\mathrm e}^{-i a} \Ei \left(1, -i b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{i a} \Ei \left(1, -i b \,x^{2}\right)}{16}-\frac{{\mathrm e}^{3 i a} \Ei \left(1, -3 i b \,x^{2}\right)}{16}"," ",0,"1/16*I*exp(-3*I*a)*Pi*csgn(b*x^2)-1/8*I*exp(-3*I*a)*Si(3*b*x^2)-1/16*exp(-3*I*a)*Ei(1,-3*I*b*x^2)+3/16*I*Pi*csgn(b*x^2)*exp(-I*a)-3/8*I*exp(-I*a)*Si(b*x^2)-3/16*exp(-I*a)*Ei(1,-I*b*x^2)-3/16*exp(I*a)*Ei(1,-I*b*x^2)-1/16*exp(3*I*a)*Ei(1,-3*I*b*x^2)","C"
20,1,128,120,0.043000," ","int(cos(b*x^2+a)^3/x^2,x)","-\frac{3 \cos \left(b \,x^{2}+a \right)}{4 x}-\frac{3 \sqrt{b}\, \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)}{4}-\frac{\cos \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) \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)}{4}"," ",0,"-3/4*cos(b*x^2+a)/x-3/4*b^(1/2)*2^(1/2)*Pi^(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)))-1/4*cos(3*b*x^2+3*a)/x-1/4*b^(1/2)*2^(1/2)*Pi^(1/2)*3^(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"
21,1,162,80,0.196000," ","int(cos(b*x^2+a)^3/x^3,x)","\frac{3 \,{\mathrm e}^{-3 i a} \mathrm{csgn}\left(b \,x^{2}\right) \pi  b}{16}-\frac{3 \,{\mathrm e}^{-3 i a} \Si \left(3 b \,x^{2}\right) b}{8}+\frac{3 i {\mathrm e}^{-3 i a} \Ei \left(1, -3 i b \,x^{2}\right) b}{16}+\frac{3 \,\mathrm{csgn}\left(b \,x^{2}\right) {\mathrm e}^{-i a} \pi  b}{16}-\frac{3 \,{\mathrm e}^{-i a} \Si \left(b \,x^{2}\right) b}{8}+\frac{3 i {\mathrm e}^{-i a} \Ei \left(1, -i b \,x^{2}\right) b}{16}-\frac{3 i {\mathrm e}^{i a} b \Ei \left(1, -i b \,x^{2}\right)}{16}-\frac{3 i {\mathrm e}^{3 i a} b \Ei \left(1, -3 i b \,x^{2}\right)}{16}-\frac{3 \cos \left(b \,x^{2}+a \right)}{8 x^{2}}-\frac{\cos \left(3 b \,x^{2}+3 a \right)}{8 x^{2}}"," ",0,"3/16*exp(-3*I*a)*csgn(b*x^2)*Pi*b-3/8*exp(-3*I*a)*Si(3*b*x^2)*b+3/16*I*exp(-3*I*a)*Ei(1,-3*I*b*x^2)*b+3/16*csgn(b*x^2)*exp(-I*a)*Pi*b-3/8*exp(-I*a)*Si(b*x^2)*b+3/16*I*exp(-I*a)*Ei(1,-I*b*x^2)*b-3/16*I*exp(I*a)*b*Ei(1,-I*b*x^2)-3/16*I*exp(3*I*a)*b*Ei(1,-3*I*b*x^2)-3/8*cos(b*x^2+a)/x^2-1/8*cos(3*b*x^2+3*a)/x^2","C"
22,1,50,59,0.030000," ","int(x*cos(b*x^2+a)^7,x)","\frac{\left(\frac{16}{5}+\cos^{6}\left(b \,x^{2}+a \right)+\frac{6 \left(\cos^{4}\left(b \,x^{2}+a \right)\right)}{5}+\frac{8 \left(\cos^{2}\left(b \,x^{2}+a \right)\right)}{5}\right) \sin \left(b \,x^{2}+a \right)}{14 b}"," ",0,"1/14/b*(16/5+cos(b*x^2+a)^6+6/5*cos(b*x^2+a)^4+8/5*cos(b*x^2+a)^2)*sin(b*x^2+a)","A"
23,1,229,83,0.109000," ","int(x^(5/2)*cos(b*x^2+a),x)","\frac{2^{\frac{3}{4}} \cos \left(a \right) \sqrt{\pi}\, \left(\frac{2 x^{\frac{3}{2}} 2^{\frac{1}{4}} \left(b^{2}\right)^{\frac{7}{8}} \sin \left(b \,x^{2}\right)}{7 \sqrt{\pi}\, b}+\frac{3 x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{7}{8}} 2^{\frac{1}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{5}{4}, \frac{3}{2}, b \,x^{2}\right)}{14 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{5}{4}}}+\frac{3 x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{7}{8}} 2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{1}{4}, \frac{1}{2}, b \,x^{2}\right)}{8 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{2 \left(b^{2}\right)^{\frac{7}{8}}}-\frac{2^{\frac{3}{4}} \sin \left(a \right) \sqrt{\pi}\, \left(-\frac{x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{1}{4}, \frac{3}{2}, b \,x^{2}\right)}{8 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{5}{4}}}-\frac{x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{5}{4}, \frac{1}{2}, b \,x^{2}\right)}{2 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{2 b^{\frac{7}{4}}}"," ",0,"1/2*2^(3/4)/(b^2)^(7/8)*cos(a)*Pi^(1/2)*(2/7/Pi^(1/2)*x^(3/2)*2^(1/4)*(b^2)^(7/8)/b*sin(b*x^2)+3/14/Pi^(1/2)*x^(7/2)*(b^2)^(7/8)*2^(1/4)/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(5/4,3/2,b*x^2)+3/8/Pi^(1/2)*x^(7/2)*(b^2)^(7/8)*2^(1/4)/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(1/4,1/2,b*x^2))-1/2*2^(3/4)/b^(7/4)*sin(a)*Pi^(1/2)*(-1/8/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(1/4,3/2,b*x^2)-1/2/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(5/4,1/2,b*x^2))","C"
24,1,290,83,0.077000," ","int(x^(3/2)*cos(b*x^2+a),x)","\frac{2^{\frac{1}{4}} \cos \left(a \right) \sqrt{\pi}\, \left(\frac{2 \sqrt{x}\, 2^{\frac{3}{4}} \left(b^{2}\right)^{\frac{5}{8}} \sin \left(b \,x^{2}\right)}{5 \sqrt{\pi}\, b}+\frac{2 \sqrt{x}\, 2^{\frac{3}{4}} \left(b^{2}\right)^{\frac{5}{8}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{5 \sqrt{\pi}\, b}+\frac{x^{\frac{9}{2}} \left(b^{2}\right)^{\frac{5}{8}} 2^{\frac{3}{4}} b \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{3}{4}, \frac{3}{2}, b \,x^{2}\right)}{10 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{7}{4}}}-\frac{2 x^{\frac{9}{2}} \left(b^{2}\right)^{\frac{5}{8}} 2^{\frac{3}{4}} b \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{7}{4}, \frac{1}{2}, b \,x^{2}\right)}{5 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{2 \left(b^{2}\right)^{\frac{5}{8}}}-\frac{2^{\frac{1}{4}} \sin \left(a \right) \sqrt{\pi}\, \left(\frac{2 x^{\frac{5}{2}} 2^{\frac{3}{4}} b^{\frac{5}{4}} \sin \left(b \,x^{2}\right)}{9 \sqrt{\pi}}-\frac{2 x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{7}{4}, \frac{3}{2}, b \,x^{2}\right)}{9 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{7}{4}}}-\frac{x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{3}{4}, \frac{1}{2}, b \,x^{2}\right)}{2 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{2 b^{\frac{5}{4}}}"," ",0,"1/2*2^(1/4)/(b^2)^(5/8)*cos(a)*Pi^(1/2)*(2/5/Pi^(1/2)*x^(1/2)*2^(3/4)*(b^2)^(5/8)/b*sin(b*x^2)+2/5/Pi^(1/2)*x^(1/2)*2^(3/4)*(b^2)^(5/8)/b*(cos(b*x^2)*x^2*b-sin(b*x^2))+1/10/Pi^(1/2)*x^(9/2)*(b^2)^(5/8)*2^(3/4)*b/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(3/4,3/2,b*x^2)-2/5/Pi^(1/2)*x^(9/2)*(b^2)^(5/8)*2^(3/4)*b/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(7/4,1/2,b*x^2))-1/2*2^(1/4)/b^(5/4)*sin(a)*Pi^(1/2)*(2/9/Pi^(1/2)*x^(5/2)*2^(3/4)*b^(5/4)*sin(b*x^2)-2/9/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(7/4,3/2,b*x^2)-1/2/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(3/4,1/2,b*x^2))","C"
25,1,290,59,0.059000," ","int(x^(1/2)*cos(b*x^2+a),x)","\frac{2^{\frac{3}{4}} \cos \left(a \right) \sqrt{\pi}\, \left(\frac{4 \,2^{\frac{1}{4}} \left(b^{2}\right)^{\frac{3}{8}} \sin \left(b \,x^{2}\right)}{3 \sqrt{\pi}\, \sqrt{x}\, b}+\frac{4 \,2^{\frac{1}{4}} \left(b^{2}\right)^{\frac{3}{8}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{3 \sqrt{\pi}\, \sqrt{x}\, b}-\frac{x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{3}{8}} 2^{\frac{1}{4}} b \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{1}{4}, \frac{3}{2}, b \,x^{2}\right)}{3 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{5}{4}}}-\frac{4 x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{3}{8}} 2^{\frac{1}{4}} b \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{5}{4}, \frac{1}{2}, b \,x^{2}\right)}{3 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{4 \left(b^{2}\right)^{\frac{3}{8}}}-\frac{2^{\frac{3}{4}} \sin \left(a \right) \sqrt{\pi}\, \left(\frac{4 x^{\frac{3}{2}} 2^{\frac{1}{4}} b^{\frac{3}{4}} \sin \left(b \,x^{2}\right)}{7 \sqrt{\pi}}-\frac{4 x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{5}{4}, \frac{3}{2}, b \,x^{2}\right)}{7 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{5}{4}}}-\frac{x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{1}{4}, \frac{1}{2}, b \,x^{2}\right)}{\sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{4 b^{\frac{3}{4}}}"," ",0,"1/4*2^(3/4)/(b^2)^(3/8)*cos(a)*Pi^(1/2)*(4/3/Pi^(1/2)/x^(1/2)*2^(1/4)*(b^2)^(3/8)/b*sin(b*x^2)+4/3/Pi^(1/2)/x^(1/2)*2^(1/4)*(b^2)^(3/8)/b*(cos(b*x^2)*x^2*b-sin(b*x^2))-1/3/Pi^(1/2)*x^(7/2)*(b^2)^(3/8)*2^(1/4)*b/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(1/4,3/2,b*x^2)-4/3/Pi^(1/2)*x^(7/2)*(b^2)^(3/8)*2^(1/4)*b/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(5/4,1/2,b*x^2))-1/4*2^(3/4)/b^(3/4)*sin(a)*Pi^(1/2)*(4/7/Pi^(1/2)*x^(3/2)*2^(1/4)*b^(3/4)*sin(b*x^2)-4/7/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(5/4,3/2,b*x^2)-1/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(1/4,1/2,b*x^2))","C"
26,1,338,59,0.079000," ","int(cos(b*x^2+a)/x^(1/2),x)","\frac{\cos \left(a \right) \sqrt{\pi}\, 2^{\frac{1}{4}} \left(\frac{6 \,2^{\frac{3}{4}} \left(b^{2}\right)^{\frac{1}{8}} \left(\frac{8 x^{4} b^{2}}{27}+\frac{2}{3}\right) \sin \left(b \,x^{2}\right)}{\sqrt{\pi}\, x^{\frac{3}{2}} b}+\frac{4 \,2^{\frac{3}{4}} \left(b^{2}\right)^{\frac{1}{8}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{\sqrt{\pi}\, x^{\frac{3}{2}} b}-\frac{16 x^{\frac{9}{2}} \left(b^{2}\right)^{\frac{1}{8}} b^{2} 2^{\frac{3}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{7}{4}, \frac{3}{2}, b \,x^{2}\right)}{9 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{7}{4}}}-\frac{4 x^{\frac{9}{2}} \left(b^{2}\right)^{\frac{1}{8}} b^{2} 2^{\frac{3}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{3}{4}, \frac{1}{2}, b \,x^{2}\right)}{\sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{4 \left(b^{2}\right)^{\frac{1}{8}}}-\frac{\sin \left(a \right) \sqrt{\pi}\, 2^{\frac{1}{4}} \left(\frac{4 \sqrt{x}\, 2^{\frac{3}{4}} b^{\frac{1}{4}} \sin \left(b \,x^{2}\right)}{5 \sqrt{\pi}}-\frac{16 \sqrt{x}\, 2^{\frac{3}{4}} b^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{5 \sqrt{\pi}}-\frac{4 x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{3}{4}, \frac{3}{2}, b \,x^{2}\right)}{5 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{7}{4}}}+\frac{16 x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{7}{4}, \frac{1}{2}, b \,x^{2}\right)}{5 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{4 b^{\frac{1}{4}}}"," ",0,"1/4*cos(a)*Pi^(1/2)*2^(1/4)/(b^2)^(1/8)*(6/Pi^(1/2)/x^(3/2)*2^(3/4)*(b^2)^(1/8)*(8/27*x^4*b^2+2/3)/b*sin(b*x^2)+4/Pi^(1/2)/x^(3/2)*2^(3/4)*(b^2)^(1/8)/b*(cos(b*x^2)*x^2*b-sin(b*x^2))-16/9/Pi^(1/2)*x^(9/2)*(b^2)^(1/8)*b^2*2^(3/4)/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(7/4,3/2,b*x^2)-4/Pi^(1/2)*x^(9/2)*(b^2)^(1/8)*b^2*2^(3/4)/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(3/4,1/2,b*x^2))-1/4*sin(a)*Pi^(1/2)*2^(1/4)/b^(1/4)*(4/5/Pi^(1/2)*x^(1/2)*2^(3/4)*b^(1/4)*sin(b*x^2)-16/5/Pi^(1/2)*x^(1/2)*2^(3/4)*b^(1/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))-4/5/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(3/4,3/2,b*x^2)+16/5/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(7/4,1/2,b*x^2))","C"
27,1,338,76,0.071000," ","int(cos(b*x^2+a)/x^(3/2),x)","\frac{\cos \left(a \right) \sqrt{\pi}\, 2^{\frac{3}{4}} \left(b^{2}\right)^{\frac{1}{8}} \left(-\frac{12 \,2^{\frac{1}{4}} \left(\frac{8 x^{4} b^{2}}{21}+\frac{2}{3}\right) \sin \left(b \,x^{2}\right)}{\sqrt{\pi}\, x^{\frac{5}{2}} \left(b^{2}\right)^{\frac{1}{8}} b}-\frac{8 \,2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{\sqrt{\pi}\, x^{\frac{5}{2}} \left(b^{2}\right)^{\frac{1}{8}} b}+\frac{32 x^{\frac{7}{2}} b^{2} 2^{\frac{1}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{5}{4}, \frac{3}{2}, b \,x^{2}\right)}{7 \sqrt{\pi}\, \left(b^{2}\right)^{\frac{1}{8}} \left(b \,x^{2}\right)^{\frac{5}{4}}}+\frac{8 x^{\frac{7}{2}} b^{2} 2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{1}{4}, \frac{1}{2}, b \,x^{2}\right)}{\sqrt{\pi}\, \left(b^{2}\right)^{\frac{1}{8}} \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{8}-\frac{\sin \left(a \right) \sqrt{\pi}\, 2^{\frac{3}{4}} b^{\frac{1}{4}} \left(\frac{8 \,2^{\frac{1}{4}} \sin \left(b \,x^{2}\right)}{3 \sqrt{\pi}\, \sqrt{x}\, b^{\frac{1}{4}}}+\frac{32 \,2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{3 \sqrt{\pi}\, \sqrt{x}\, b^{\frac{1}{4}}}-\frac{8 x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{1}{4}, \frac{3}{2}, b \,x^{2}\right)}{3 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{5}{4}}}-\frac{32 x^{\frac{7}{2}} b^{\frac{7}{4}} 2^{\frac{1}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{5}{4}, \frac{1}{2}, b \,x^{2}\right)}{3 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{9}{4}}}\right)}{8}"," ",0,"1/8*cos(a)*Pi^(1/2)*2^(3/4)*(b^2)^(1/8)*(-12/Pi^(1/2)/x^(5/2)*2^(1/4)/(b^2)^(1/8)*(8/21*x^4*b^2+2/3)/b*sin(b*x^2)-8/Pi^(1/2)/x^(5/2)*2^(1/4)/(b^2)^(1/8)/b*(cos(b*x^2)*x^2*b-sin(b*x^2))+32/7/Pi^(1/2)*x^(7/2)/(b^2)^(1/8)*b^2*2^(1/4)/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(5/4,3/2,b*x^2)+8/Pi^(1/2)*x^(7/2)/(b^2)^(1/8)*b^2*2^(1/4)/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(1/4,1/2,b*x^2))-1/8*sin(a)*Pi^(1/2)*2^(3/4)*b^(1/4)*(8/3/Pi^(1/2)/x^(1/2)*2^(1/4)/b^(1/4)*sin(b*x^2)+32/3/Pi^(1/2)/x^(1/2)*2^(1/4)/b^(1/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))-8/3/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(5/4)*sin(b*x^2)*LommelS1(1/4,3/2,b*x^2)-32/3/Pi^(1/2)*x^(7/2)*b^(7/4)*2^(1/4)/(b*x^2)^(9/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(5/4,1/2,b*x^2))","C"
28,1,358,76,0.061000," ","int(cos(b*x^2+a)/x^(5/2),x)","\frac{\cos \left(a \right) \sqrt{\pi}\, 2^{\frac{1}{4}} \left(b^{2}\right)^{\frac{3}{8}} \left(-\frac{4 \,2^{\frac{3}{4}} \left(\frac{8 x^{4} b^{2}}{15}+\frac{2}{3}\right) \sin \left(b \,x^{2}\right)}{\sqrt{\pi}\, x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{3}{8}} b}-\frac{8 \,2^{\frac{3}{4}} \left(-16 x^{4} b^{2}+5\right) \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{15 \sqrt{\pi}\, x^{\frac{7}{2}} \left(b^{2}\right)^{\frac{3}{8}} b}+\frac{32 x^{\frac{9}{2}} 2^{\frac{3}{4}} b^{3} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{3}{4}, \frac{3}{2}, b \,x^{2}\right)}{15 \sqrt{\pi}\, \left(b^{2}\right)^{\frac{3}{8}} \left(b \,x^{2}\right)^{\frac{7}{4}}}-\frac{128 x^{\frac{9}{2}} 2^{\frac{3}{4}} b^{3} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{7}{4}, \frac{1}{2}, b \,x^{2}\right)}{15 \sqrt{\pi}\, \left(b^{2}\right)^{\frac{3}{8}} \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{8}-\frac{\sin \left(a \right) \sqrt{\pi}\, 2^{\frac{1}{4}} b^{\frac{3}{4}} \left(\frac{12 \,2^{\frac{3}{4}} \left(\frac{32 x^{4} b^{2}}{81}+\frac{2}{3}\right) \sin \left(b \,x^{2}\right)}{\sqrt{\pi}\, x^{\frac{3}{2}} b^{\frac{3}{4}}}+\frac{32 \,2^{\frac{3}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right)}{3 \sqrt{\pi}\, x^{\frac{3}{2}} b^{\frac{3}{4}}}-\frac{128 x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \sin \left(b \,x^{2}\right) \LommelS1 \left(\frac{7}{4}, \frac{3}{2}, b \,x^{2}\right)}{27 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{7}{4}}}-\frac{32 x^{\frac{9}{2}} b^{\frac{9}{4}} 2^{\frac{3}{4}} \left(\cos \left(b \,x^{2}\right) x^{2} b -\sin \left(b \,x^{2}\right)\right) \LommelS1 \left(\frac{3}{4}, \frac{1}{2}, b \,x^{2}\right)}{3 \sqrt{\pi}\, \left(b \,x^{2}\right)^{\frac{11}{4}}}\right)}{8}"," ",0,"1/8*cos(a)*Pi^(1/2)*2^(1/4)*(b^2)^(3/8)*(-4/Pi^(1/2)/x^(7/2)*2^(3/4)/(b^2)^(3/8)*(8/15*x^4*b^2+2/3)/b*sin(b*x^2)-8/15/Pi^(1/2)/x^(7/2)*2^(3/4)/(b^2)^(3/8)/b*(-16*b^2*x^4+5)*(cos(b*x^2)*x^2*b-sin(b*x^2))+32/15/Pi^(1/2)*x^(9/2)/(b^2)^(3/8)*2^(3/4)*b^3/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(3/4,3/2,b*x^2)-128/15/Pi^(1/2)*x^(9/2)/(b^2)^(3/8)*2^(3/4)*b^3/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(7/4,1/2,b*x^2))-1/8*sin(a)*Pi^(1/2)*2^(1/4)*b^(3/4)*(12/Pi^(1/2)/x^(3/2)*2^(3/4)/b^(3/4)*(32/81*x^4*b^2+2/3)*sin(b*x^2)+32/3/Pi^(1/2)/x^(3/2)*2^(3/4)/b^(3/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))-128/27/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(7/4)*sin(b*x^2)*LommelS1(7/4,3/2,b*x^2)-32/3/Pi^(1/2)*x^(9/2)*b^(9/4)*2^(3/4)/(b*x^2)^(11/4)*(cos(b*x^2)*x^2*b-sin(b*x^2))*LommelS1(3/4,1/2,b*x^2))","C"
29,0,0,97,0.197000," ","int(x^(5/2)*cos(b*x^2+a)^2,x)","\int x^{\frac{5}{2}} \left(\cos^{2}\left(b \,x^{2}+a \right)\right)\, dx"," ",0,"int(x^(5/2)*cos(b*x^2+a)^2,x)","F"
30,0,0,97,0.164000," ","int(x^(3/2)*cos(b*x^2+a)^2,x)","\int x^{\frac{3}{2}} \left(\cos^{2}\left(b \,x^{2}+a \right)\right)\, dx"," ",0,"int(x^(3/2)*cos(b*x^2+a)^2,x)","F"
31,0,0,70,0.154000," ","int(x^(1/2)*cos(b*x^2+a)^2,x)","\int \sqrt{x}\, \left(\cos^{2}\left(b \,x^{2}+a \right)\right)\, dx"," ",0,"int(x^(1/2)*cos(b*x^2+a)^2,x)","F"
32,0,0,68,0.183000," ","int(cos(b*x^2+a)^2/x^(1/2),x)","\int \frac{\cos^{2}\left(b \,x^{2}+a \right)}{\sqrt{x}}\, dx"," ",0,"int(cos(b*x^2+a)^2/x^(1/2),x)","F"
33,0,0,90,0.136000," ","int(cos(b*x^2+a)^2/x^(3/2),x)","\int \frac{\cos^{2}\left(b \,x^{2}+a \right)}{x^{\frac{3}{2}}}\, dx"," ",0,"int(cos(b*x^2+a)^2/x^(3/2),x)","F"
34,0,0,84,0.147000," ","int(cos(b*x^2+a)^2/x^(5/2),x)","\int \frac{\cos^{2}\left(b \,x^{2}+a \right)}{x^{\frac{5}{2}}}\, dx"," ",0,"int(cos(b*x^2+a)^2/x^(5/2),x)","F"
35,1,39,31,0.051000," ","int(cos(a+b/x),x)","-b \left(-\frac{\cos \left(a +\frac{b}{x}\right) x}{b}-\Si \left(\frac{b}{x}\right) \cos \left(a \right)-\Ci \left(\frac{b}{x}\right) \sin \left(a \right)\right)"," ",0,"-b*(-cos(a+b/x)*x/b-Si(b/x)*cos(a)-Ci(b/x)*sin(a))","A"
36,1,21,20,0.041000," ","int(cos(a+b/x)/x,x)","-\Ci \left(\frac{b}{x}\right) \cos \left(a \right)+\Si \left(\frac{b}{x}\right) \sin \left(a \right)"," ",0,"-Ci(b/x)*cos(a)+Si(b/x)*sin(a)","A"
37,1,14,13,0.021000," ","int(cos(a+b/x)/x^2,x)","-\frac{\sin \left(a +\frac{b}{x}\right)}{b}"," ",0,"-sin(a+b/x)/b","A"
38,1,42,30,0.039000," ","int(cos(a+b/x)/x^3,x)","-\frac{\cos \left(a +\frac{b}{x}\right)+\left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)-a \sin \left(a +\frac{b}{x}\right)}{b^{2}}"," ",0,"-1/b^2*(cos(a+b/x)+(a+b/x)*sin(a+b/x)-a*sin(a+b/x))","A"
39,1,92,46,0.043000," ","int(cos(a+b/x)/x^4,x)","-\frac{\left(a +\frac{b}{x}\right)^{2} \sin \left(a +\frac{b}{x}\right)-2 \sin \left(a +\frac{b}{x}\right)+2 \cos \left(a +\frac{b}{x}\right) \left(a +\frac{b}{x}\right)-2 a \left(\cos \left(a +\frac{b}{x}\right)+\left(a +\frac{b}{x}\right) \sin \left(a +\frac{b}{x}\right)\right)+a^{2} \sin \left(a +\frac{b}{x}\right)}{b^{3}}"," ",0,"-1/b^3*((a+b/x)^2*sin(a+b/x)-2*sin(a+b/x)+2*cos(a+b/x)*(a+b/x)-2*a*(cos(a+b/x)+(a+b/x)*sin(a+b/x))+a^2*sin(a+b/x))","A"
40,1,57,63,0.025000," ","int(cos(a+b/x^2),x)","x \cos \left(a +\frac{b}{x^{2}}\right)+\sqrt{b}\, \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)"," ",0,"x*cos(a+b/x^2)+b^(1/2)*2^(1/2)*Pi^(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"
41,1,22,21,0.025000," ","int(cos(a+b/x^2)/x,x)","-\frac{\Ci \left(\frac{b}{x^{2}}\right) \cos \left(a \right)}{2}+\frac{\Si \left(\frac{b}{x^{2}}\right) \sin \left(a \right)}{2}"," ",0,"-1/2*Ci(b/x^2)*cos(a)+1/2*Si(b/x^2)*sin(a)","A"
42,1,48,55,0.023000," ","int(cos(a+b/x^2)/x^2,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)}{2 \sqrt{b}}"," ",0,"-1/2*2^(1/2)*Pi^(1/2)/b^(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"
43,1,14,13,0.022000," ","int(cos(a+b/x^2)/x^3,x)","-\frac{\sin \left(a +\frac{b}{x^{2}}\right)}{2 b}"," ",0,"-1/2*sin(a+b/x^2)/b","A"
44,1,64,71,0.023000," ","int(cos(a+b/x^2)/x^4,x)","-\frac{\sin \left(a +\frac{b}{x^{2}}\right)}{2 b 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)}{4 b^{\frac{3}{2}}}"," ",0,"-1/2*sin(a+b/x^2)/b/x+1/4/b^(3/2)*2^(1/2)*Pi^(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"
45,1,14,13,0.044000," ","int(cos(x^(1/2))^2/x^(1/2),x)","\cos \left(\sqrt{x}\right) \sin \left(\sqrt{x}\right)+\sqrt{x}"," ",0,"cos(x^(1/2))*sin(x^(1/2))+x^(1/2)","A"
46,1,7,6,0.023000," ","int(cos(x^(1/2))/x^(1/2),x)","2 \sin \left(\sqrt{x}\right)"," ",0,"2*sin(x^(1/2))","A"
47,1,17,16,0.026000," ","int(cos(x^(1/2)),x)","2 \cos \left(\sqrt{x}\right)+2 \sin \left(\sqrt{x}\right) \sqrt{x}"," ",0,"2*cos(x^(1/2))+2*sin(x^(1/2))*x^(1/2)","A"
48,1,34,24,0.025000," ","int(cos(x^(1/2))^2,x)","2 \sqrt{x}\, \left(\frac{\cos \left(\sqrt{x}\right) \sin \left(\sqrt{x}\right)}{2}+\frac{\sqrt{x}}{2}\right)-\frac{x}{2}-\frac{\left(\sin^{2}\left(\sqrt{x}\right)\right)}{2}"," ",0,"2*x^(1/2)*(1/2*cos(x^(1/2))*sin(x^(1/2))+1/2*x^(1/2))-1/2*x-1/2*sin(x^(1/2))^2","A"
49,1,196,167,0.035000," ","int(x^(3/2)*cos(a+b*x^(1/3)),x)","\frac{3 x^{\frac{13}{6}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{b}-\frac{39 \left(-\frac{x^{\frac{11}{6}} \cos \left(a +b \,x^{\frac{1}{3}}\right)}{2 b}+\frac{\frac{11 x^{\frac{3}{2}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{99 \left(-\frac{x^{\frac{7}{6}} \cos \left(a +b \,x^{\frac{1}{3}}\right)}{2 b}+\frac{\frac{7 x^{\frac{5}{6}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{35 \left(-\frac{\sqrt{x}\, \cos \left(a +b \,x^{\frac{1}{3}}\right)}{2 b}+\frac{\frac{3 x^{\frac{1}{6}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{8 b^{\frac{3}{2}}}}{b}\right)}{4 b}}{b}\right)}{4 b}}{b}\right)}{b}"," ",0,"3*x^(13/6)*sin(a+b*x^(1/3))/b-39/b*(-1/2/b*x^(11/6)*cos(a+b*x^(1/3))+11/2/b*(1/2/b*x^(3/2)*sin(a+b*x^(1/3))-9/2/b*(-1/2/b*x^(7/6)*cos(a+b*x^(1/3))+7/2/b*(1/2/b*x^(5/6)*sin(a+b*x^(1/3))-5/2/b*(-1/2/b*x^(1/2)*cos(a+b*x^(1/3))+3/2/b*(1/2*x^(1/6)*sin(a+b*x^(1/3))/b-1/4/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))+sin(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2)))))))))","A"
50,1,131,119,0.029000," ","int(x^(1/2)*cos(a+b*x^(1/3)),x)","\frac{3 x^{\frac{7}{6}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{b}-\frac{21 \left(-\frac{x^{\frac{5}{6}} \cos \left(a +b \,x^{\frac{1}{3}}\right)}{2 b}+\frac{\frac{5 \sqrt{x}\, \sin \left(a +b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{15 \left(-\frac{x^{\frac{1}{6}} \cos \left(a +b \,x^{\frac{1}{3}}\right)}{2 b}+\frac{\sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{4 b^{\frac{3}{2}}}\right)}{4 b}}{b}\right)}{b}"," ",0,"3*x^(7/6)*sin(a+b*x^(1/3))/b-21/b*(-1/2/b*x^(5/6)*cos(a+b*x^(1/3))+5/2/b*(1/2/b*x^(1/2)*sin(a+b*x^(1/3))-3/2/b*(-1/2/b*x^(1/6)*cos(a+b*x^(1/3))+1/4/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))))))","A"
51,1,64,71,0.022000," ","int(cos(a+b*x^(1/3))/x^(1/2),x)","\frac{3 x^{\frac{1}{6}} \sin \left(a +b \,x^{\frac{1}{3}}\right)}{b}-\frac{3 \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)}{2 b^{\frac{3}{2}}}"," ",0,"3*x^(1/6)*sin(a+b*x^(1/3))/b-3/2/b^(3/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))+sin(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2)))","A"
52,1,78,82,0.030000," ","int(cos(a+b*x^(1/3))/x^(3/2),x)","-\frac{2 \cos \left(a +b \,x^{\frac{1}{3}}\right)}{\sqrt{x}}-4 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}+\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)"," ",0,"-2*cos(a+b*x^(1/3))/x^(1/2)-4*b*(-1/x^(1/6)*sin(a+b*x^(1/3))+b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))))","A"
53,1,129,130,0.035000," ","int(cos(a+b*x^(1/3))/x^(5/2),x)","-\frac{2 \cos \left(a +b \,x^{\frac{1}{3}}\right)}{3 x^{\frac{3}{2}}}-\frac{4 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{7 x^{\frac{7}{6}}}+\frac{2 b \left(-\frac{\cos \left(a +b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{6}}}-\frac{2 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{3 \sqrt{x}}+\frac{2 b \left(-\frac{\cos \left(a +b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}-\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)+\sin \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)}{5}\right)}{7}\right)}{3}"," ",0,"-2/3*cos(a+b*x^(1/3))/x^(3/2)-4/3*b*(-1/7/x^(7/6)*sin(a+b*x^(1/3))+2/7*b*(-1/5/x^(5/6)*cos(a+b*x^(1/3))-2/5*b*(-1/3/x^(1/2)*sin(a+b*x^(1/3))+2/3*b*(-cos(a+b*x^(1/3))/x^(1/6)-b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))+sin(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2)))))))","A"
54,1,180,178,0.030000," ","int(cos(a+b*x^(1/3))/x^(7/2),x)","-\frac{2 \cos \left(a +b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{2}}}-\frac{4 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{13 x^{\frac{13}{6}}}+\frac{2 b \left(-\frac{\cos \left(a +b \,x^{\frac{1}{3}}\right)}{11 x^{\frac{11}{6}}}-\frac{2 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{9 x^{\frac{3}{2}}}+\frac{2 b \left(-\frac{\cos \left(a +b \,x^{\frac{1}{3}}\right)}{7 x^{\frac{7}{6}}}-\frac{2 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{6}}}+\frac{2 b \left(-\frac{\cos \left(a +b \,x^{\frac{1}{3}}\right)}{3 \sqrt{x}}-\frac{2 b \left(-\frac{\sin \left(a +b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}+\sqrt{b}\, \sqrt{2}\, \sqrt{\pi}\, \left(\cos \left(a \right) \FresnelC \left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)-\sin \left(a \right) \mathrm{S}\left(\frac{x^{\frac{1}{6}} \sqrt{b}\, \sqrt{2}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)}{5}\right)}{7}\right)}{9}\right)}{11}\right)}{13}\right)}{5}"," ",0,"-2/5*cos(a+b*x^(1/3))/x^(5/2)-4/5*b*(-1/13/x^(13/6)*sin(a+b*x^(1/3))+2/13*b*(-1/11/x^(11/6)*cos(a+b*x^(1/3))-2/11*b*(-1/9/x^(3/2)*sin(a+b*x^(1/3))+2/9*b*(-1/7/x^(7/6)*cos(a+b*x^(1/3))-2/7*b*(-1/5/x^(5/6)*sin(a+b*x^(1/3))+2/5*b*(-1/3*cos(a+b*x^(1/3))/x^(1/2)-2/3*b*(-1/x^(1/6)*sin(a+b*x^(1/3))+b^(1/2)*2^(1/2)*Pi^(1/2)*(cos(a)*FresnelC(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))-sin(a)*FresnelS(x^(1/6)*b^(1/2)*2^(1/2)/Pi^(1/2))))))))))","A"
55,1,219,223,0.062000," ","int(x^(3/2)*cos(a+b*x^(1/3))^2,x)","\frac{x^{\frac{5}{2}}}{5}+\frac{3 x^{\frac{13}{6}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{39 \left(-\frac{x^{\frac{11}{6}} \cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}+\frac{\frac{11 x^{\frac{3}{2}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{16 b}-\frac{99 \left(-\frac{x^{\frac{7}{6}} \cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}+\frac{\frac{7 x^{\frac{5}{6}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{16 b}-\frac{35 \left(-\frac{\sqrt{x}\, \cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}+\frac{\frac{3 x^{\frac{1}{6}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{16 b}-\frac{3 \sqrt{\pi}\, \left(\cos \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)+\sin \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)}{32 b^{\frac{3}{2}}}}{b}\right)}{16 b}}{b}\right)}{16 b}}{b}\right)}{4 b}"," ",0,"1/5*x^(5/2)+3/4/b*x^(13/6)*sin(2*a+2*b*x^(1/3))-39/4/b*(-1/4/b*x^(11/6)*cos(2*a+2*b*x^(1/3))+11/4/b*(1/4/b*x^(3/2)*sin(2*a+2*b*x^(1/3))-9/4/b*(-1/4/b*x^(7/6)*cos(2*a+2*b*x^(1/3))+7/4/b*(1/4/b*x^(5/6)*sin(2*a+2*b*x^(1/3))-5/4/b*(-1/4/b*x^(1/2)*cos(2*a+2*b*x^(1/3))+3/4/b*(1/4*x^(1/6)*sin(2*a+2*b*x^(1/3))/b-1/8/b^(3/2)*Pi^(1/2)*(cos(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))+sin(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2)))))))))","A"
56,1,145,154,0.060000," ","int(x^(1/2)*cos(a+b*x^(1/3))^2,x)","\frac{x^{\frac{3}{2}}}{3}+\frac{3 x^{\frac{7}{6}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{21 \left(-\frac{x^{\frac{5}{6}} \cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}+\frac{\frac{5 \sqrt{x}\, \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{16 b}-\frac{15 \left(-\frac{x^{\frac{1}{6}} \cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}+\frac{\sqrt{\pi}\, \left(\cos \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)-\sin \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)}{8 b^{\frac{3}{2}}}\right)}{16 b}}{b}\right)}{4 b}"," ",0,"1/3*x^(3/2)+3/4/b*x^(7/6)*sin(2*a+2*b*x^(1/3))-21/4/b*(-1/4/b*x^(5/6)*cos(2*a+2*b*x^(1/3))+5/4/b*(1/4/b*x^(1/2)*sin(2*a+2*b*x^(1/3))-3/4/b*(-1/4/b*x^(1/6)*cos(2*a+2*b*x^(1/3))+1/8/b^(3/2)*Pi^(1/2)*(cos(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2))-sin(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))))))","A"
57,1,67,71,0.057000," ","int(cos(a+b*x^(1/3))^2/x^(1/2),x)","\sqrt{x}+\frac{3 x^{\frac{1}{6}} \sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{4 b}-\frac{3 \sqrt{\pi}\, \left(\cos \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)+\sin \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)}{8 b^{\frac{3}{2}}}"," ",0,"x^(1/2)+3/4*x^(1/6)*sin(2*a+2*b*x^(1/3))/b-3/8/b^(3/2)*Pi^(1/2)*(cos(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))+sin(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2)))","A"
58,1,87,86,0.056000," ","int(cos(a+b*x^(1/3))^2/x^(3/2),x)","-\frac{1}{\sqrt{x}}-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{\sqrt{x}}-4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}+2 \sqrt{b}\, \sqrt{\pi}\, \left(\cos \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)-\sin \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)\right)"," ",0,"-1/x^(1/2)-1/x^(1/2)*cos(2*a+2*b*x^(1/3))-4*b*(-1/x^(1/6)*sin(2*a+2*b*x^(1/3))+2*b^(1/2)*Pi^(1/2)*(cos(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2))-sin(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))))","A"
59,1,146,162,0.059000," ","int(cos(a+b*x^(1/3))^2/x^(5/2),x)","-\frac{1}{3 x^{\frac{3}{2}}}-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{3 x^{\frac{3}{2}}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{7 x^{\frac{7}{6}}}+\frac{4 b \left(-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{6}}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{3 \sqrt{x}}+\frac{4 b \left(-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}-2 \sqrt{b}\, \sqrt{\pi}\, \left(\cos \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)+\sin \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)}{5}\right)}{7}\right)}{3}"," ",0,"-1/3/x^(3/2)-1/3/x^(3/2)*cos(2*a+2*b*x^(1/3))-4/3*b*(-1/7/x^(7/6)*sin(2*a+2*b*x^(1/3))+4/7*b*(-1/5/x^(5/6)*cos(2*a+2*b*x^(1/3))-4/5*b*(-1/3/x^(1/2)*sin(2*a+2*b*x^(1/3))+4/3*b*(-1/x^(1/6)*cos(2*a+2*b*x^(1/3))-2*b^(1/2)*Pi^(1/2)*(cos(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))+sin(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2)))))))","A"
60,1,207,236,0.064000," ","int(cos(a+b*x^(1/3))^2/x^(7/2),x)","-\frac{1}{5 x^{\frac{5}{2}}}-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{2}}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{13 x^{\frac{13}{6}}}+\frac{4 b \left(-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{11 x^{\frac{11}{6}}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{9 x^{\frac{3}{2}}}+\frac{4 b \left(-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{7 x^{\frac{7}{6}}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{5 x^{\frac{5}{6}}}+\frac{4 b \left(-\frac{\cos \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{3 \sqrt{x}}-\frac{4 b \left(-\frac{\sin \left(2 a +2 b \,x^{\frac{1}{3}}\right)}{x^{\frac{1}{6}}}+2 \sqrt{b}\, \sqrt{\pi}\, \left(\cos \left(2 a \right) \FresnelC \left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)-\sin \left(2 a \right) \mathrm{S}\left(\frac{2 x^{\frac{1}{6}} \sqrt{b}}{\sqrt{\pi}}\right)\right)\right)}{3}\right)}{5}\right)}{7}\right)}{9}\right)}{11}\right)}{13}\right)}{5}"," ",0,"-1/5/x^(5/2)-1/5/x^(5/2)*cos(2*a+2*b*x^(1/3))-4/5*b*(-1/13/x^(13/6)*sin(2*a+2*b*x^(1/3))+4/13*b*(-1/11/x^(11/6)*cos(2*a+2*b*x^(1/3))-4/11*b*(-1/9/x^(3/2)*sin(2*a+2*b*x^(1/3))+4/9*b*(-1/7/x^(7/6)*cos(2*a+2*b*x^(1/3))-4/7*b*(-1/5/x^(5/6)*sin(2*a+2*b*x^(1/3))+4/5*b*(-1/3/x^(1/2)*cos(2*a+2*b*x^(1/3))-4/3*b*(-1/x^(1/6)*sin(2*a+2*b*x^(1/3))+2*b^(1/2)*Pi^(1/2)*(cos(2*a)*FresnelC(2*x^(1/6)*b^(1/2)/Pi^(1/2))-sin(2*a)*FresnelS(2*x^(1/6)*b^(1/2)/Pi^(1/2))))))))))","A"
61,1,58,58,0.037000," ","int(cos(x^(1/3))^3,x)","x^{\frac{2}{3}} \left(2+\cos^{2}\left(x^{\frac{1}{3}}\right)\right) \sin \left(x^{\frac{1}{3}}\right)-4 \sin \left(x^{\frac{1}{3}}\right)+4 x^{\frac{1}{3}} \cos \left(x^{\frac{1}{3}}\right)+\frac{2 x^{\frac{1}{3}} \left(\cos^{3}\left(x^{\frac{1}{3}}\right)\right)}{3}-\frac{2 \left(2+\cos^{2}\left(x^{\frac{1}{3}}\right)\right) \sin \left(x^{\frac{1}{3}}\right)}{9}"," ",0,"x^(2/3)*(2+cos(x^(1/3))^2)*sin(x^(1/3))-4*sin(x^(1/3))+4*x^(1/3)*cos(x^(1/3))+2/3*x^(1/3)*cos(x^(1/3))^3-2/9*(2+cos(x^(1/3))^2)*sin(x^(1/3))","A"
62,1,7,6,0.022000," ","int(cos(x^(1/6))/x^(5/6),x)","6 \sin \left(x^{\frac{1}{6}}\right)"," ",0,"6*sin(x^(1/6))","A"
63,0,0,20,0.985000," ","int((e*x)^m*(b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(b*cos(c+d*x^n))^p,x)","F"
64,0,0,22,0.895000," ","int((e*x)^m*(a+b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*cos(c+d*x^n))^p,x)","F"
65,0,0,87,1.051000," ","int((e*x)^(-1+n)*(b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(b*cos(c+d*x^n))^p,x)","F"
66,0,0,40,0.914000," ","int((e*x)^(-1+2*n)*(b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(b*cos(c+d*x^n))^p,x)","F"
67,0,0,117,1.000000," ","int((e*x)^(-1+n)*(a+b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(a +b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(a+b*cos(c+d*x^n))^p,x)","F"
68,0,0,42,0.943000," ","int((e*x)^(-1+2*n)*(a+b*cos(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(a +b \cos \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(a+b*cos(c+d*x^n))^p,x)","F"
69,1,25,26,0.027000," ","int(cos(a+b*x^n)/x,x)","\frac{-\Si \left(b \,x^{n}\right) \sin \left(a \right)+\Ci \left(b \,x^{n}\right) \cos \left(a \right)}{n}"," ",0,"1/n*(-Si(b*x^n)*sin(a)+Ci(b*x^n)*cos(a))","A"
70,1,45,37,0.054000," ","int(cos(a+b*x^n)^2/x,x)","-\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}+\frac{\ln \left(b \,x^{n}\right)}{2 n}"," ",0,"-1/2*Si(2*b*x^n)*sin(2*a)/n+1/2*Ci(2*b*x^n)*cos(2*a)/n+1/2/n*ln(b*x^n)","A"
71,1,52,59,0.053000," ","int(cos(a+b*x^n)^3/x,x)","\frac{-\frac{\Si \left(3 b \,x^{n}\right) \sin \left(3 a \right)}{4}+\frac{\Ci \left(3 b \,x^{n}\right) \cos \left(3 a \right)}{4}-\frac{3 \Si \left(b \,x^{n}\right) \sin \left(a \right)}{4}+\frac{3 \Ci \left(b \,x^{n}\right) \cos \left(a \right)}{4}}{n}"," ",0,"1/n*(-1/4*Si(3*b*x^n)*sin(3*a)+1/4*Ci(3*b*x^n)*cos(3*a)-3/4*Si(b*x^n)*sin(a)+3/4*Ci(b*x^n)*cos(a))","A"
72,1,77,69,0.054000," ","int(cos(a+b*x^n)^4/x,x)","-\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}+\frac{3 \ln \left(b \,x^{n}\right)}{8 n}"," ",0,"-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+3/8/n*ln(b*x^n)","A"
73,1,75,73,0.119000," ","int(cos(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) \cos \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) \sin \left(a \right)}{1+n}"," ",0,"x*hypergeom([1/2/n],[1/2,1+1/2/n],-1/4*x^(2*n)*b^2)*cos(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)*sin(a)","C"
74,0,0,94,0.231000," ","int(cos(a+b*x^n)^2,x)","\int \cos^{2}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(cos(a+b*x^n)^2,x)","F"
75,0,0,159,0.284000," ","int(cos(a+b*x^n)^3,x)","\int \cos^{3}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(cos(a+b*x^n)^3,x)","F"
76,1,111,97,0.160000," ","int(x^m*cos(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) \cos \left(a \right)}{1+m}-\frac{b \,x^{1+m +n} \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) \sin \left(a \right)}{1+m +n}"," ",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)*cos(a)-b/(1+m+n)*x^(1+m+n)*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)*sin(a)","C"
77,0,0,137,0.188000," ","int(x^m*cos(a+b*x^n)^2,x)","\int x^{m} \left(\cos^{2}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*x^n)^2,x)","F"
78,0,0,215,0.253000," ","int(x^m*cos(a+b*x^n)^3,x)","\int x^{m} \left(\cos^{3}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*x^n)^3,x)","F"
79,1,45,47,0.041000," ","int(x^(-1-n)*cos(a+b*x^n),x)","\frac{b \left(-\frac{\cos \left(a +b \,x^{n}\right) x^{-n}}{b}-\Si \left(b \,x^{n}\right) \cos \left(a \right)-\Ci \left(b \,x^{n}\right) \sin \left(a \right)\right)}{n}"," ",0,"1/n*b*(-cos(a+b*x^n)/(x^n)/b-Si(b*x^n)*cos(a)-Ci(b*x^n)*sin(a))","A"
80,1,65,66,0.059000," ","int(x^(-1-n)*cos(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"
81,1,101,102,0.058000," ","int(x^(-1-n)*cos(a+b*x^n)^3,x)","\frac{3 b \left(-\frac{\cos \left(a +b \,x^{n}\right) x^{-n}}{b}-\Si \left(b \,x^{n}\right) \cos \left(a \right)-\Ci \left(b \,x^{n}\right) \sin \left(a \right)\right)}{4 n}+\frac{3 b \left(-\frac{\cos \left(3 a +3 b \,x^{n}\right) x^{-n}}{3 b}-\Si \left(3 b \,x^{n}\right) \cos \left(3 a \right)-\Ci \left(3 b \,x^{n}\right) \sin \left(3 a \right)\right)}{4 n}"," ",0,"3/4/n*b*(-cos(a+b*x^n)/(x^n)/b-Si(b*x^n)*cos(a)-Ci(b*x^n)*sin(a))+3/4/n*b*(-1/3*cos(3*a+3*b*x^n)/(x^n)/b-Si(3*b*x^n)*cos(3*a)-Ci(3*b*x^n)*sin(3*a))","A"
82,1,65,72,0.043000," ","int(x^(-1-2*n)*cos(a+b*x^n),x)","\frac{b^{2} \left(-\frac{\cos \left(a +b \,x^{n}\right) x^{-2 n}}{2 b^{2}}+\frac{\sin \left(a +b \,x^{n}\right) x^{-n}}{2 b}+\frac{\Si \left(b \,x^{n}\right) \sin \left(a \right)}{2}-\frac{\Ci \left(b \,x^{n}\right) \cos \left(a \right)}{2}\right)}{n}"," ",0,"1/n*b^2*(-1/2*cos(a+b*x^n)/(x^n)^2/b^2+1/2*sin(a+b*x^n)/(x^n)/b+1/2*Si(b*x^n)*sin(a)-1/2*Ci(b*x^n)*cos(a))","A"
83,1,89,95,0.059000," ","int(x^(-1-2*n)*cos(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/(x^n)^2/n+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"
84,1,144,155,0.067000," ","int(x^(-1-2*n)*cos(a+b*x^n)^3,x)","\frac{3 b^{2} \left(-\frac{\cos \left(a +b \,x^{n}\right) x^{-2 n}}{2 b^{2}}+\frac{\sin \left(a +b \,x^{n}\right) x^{-n}}{2 b}+\frac{\Si \left(b \,x^{n}\right) \sin \left(a \right)}{2}-\frac{\Ci \left(b \,x^{n}\right) \cos \left(a \right)}{2}\right)}{4 n}+\frac{9 b^{2} \left(-\frac{\cos \left(3 a +3 b \,x^{n}\right) x^{-2 n}}{18 b^{2}}+\frac{\sin \left(3 a +3 b \,x^{n}\right) x^{-n}}{6 b}+\frac{\Si \left(3 b \,x^{n}\right) \sin \left(3 a \right)}{2}-\frac{\Ci \left(3 b \,x^{n}\right) \cos \left(3 a \right)}{2}\right)}{4 n}"," ",0,"3/4/n*b^2*(-1/2*cos(a+b*x^n)/(x^n)^2/b^2+1/2*sin(a+b*x^n)/(x^n)/b+1/2*Si(b*x^n)*sin(a)-1/2*Ci(b*x^n)*cos(a))+9/4/n*b^2*(-1/18*cos(3*a+3*b*x^n)/(x^n)^2/b^2+1/6*sin(3*a+3*b*x^n)/(x^n)/b+1/2*Si(3*b*x^n)*sin(3*a)-1/2*Ci(3*b*x^n)*cos(3*a))","A"
85,1,131,84,0.027000," ","int(x^2*cos((b*x+a)^2),x)","\frac{x \sin \left(x^{2} b^{2}+2 a b x +a^{2}\right)}{2 b^{2}}-\frac{a \left(\frac{\sin \left(x^{2} b^{2}+2 a b x +a^{2}\right)}{2 b^{2}}-\frac{a \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b^{2} x +a b \right)}{\sqrt{\pi}\, \sqrt{b^{2}}}\right)}{2 b \sqrt{b^{2}}}\right)}{b}-\frac{\sqrt{2}\, \sqrt{\pi}\, \mathrm{S}\left(\frac{\sqrt{2}\, \left(b^{2} x +a b \right)}{\sqrt{\pi}\, \sqrt{b^{2}}}\right)}{4 b^{2} \sqrt{b^{2}}}"," ",0,"1/2/b^2*x*sin(b^2*x^2+2*a*b*x+a^2)-a/b*(1/2/b^2*sin(b^2*x^2+2*a*b*x+a^2)-1/2*a/b*2^(1/2)*Pi^(1/2)/(b^2)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(b^2)^(1/2)*(b^2*x+a*b)))-1/4/b^2*2^(1/2)*Pi^(1/2)/(b^2)^(1/2)*FresnelS(2^(1/2)/Pi^(1/2)/(b^2)^(1/2)*(b^2*x+a*b))","A"
86,1,63,39,0.026000," ","int(x*cos((b*x+a)^2),x)","\frac{\sin \left(x^{2} b^{2}+2 a b x +a^{2}\right)}{2 b^{2}}-\frac{a \sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b^{2} x +a b \right)}{\sqrt{\pi}\, \sqrt{b^{2}}}\right)}{2 b \sqrt{b^{2}}}"," ",0,"1/2/b^2*sin(b^2*x^2+2*a*b*x+a^2)-1/2*a/b*2^(1/2)*Pi^(1/2)/(b^2)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(b^2)^(1/2)*(b^2*x+a*b))","A"
87,1,36,24,0.020000," ","int(cos((b*x+a)^2),x)","\frac{\sqrt{2}\, \sqrt{\pi}\, \FresnelC \left(\frac{\sqrt{2}\, \left(b^{2} x +a b \right)}{\sqrt{\pi}\, \sqrt{b^{2}}}\right)}{2 \sqrt{b^{2}}}"," ",0,"1/2*2^(1/2)*Pi^(1/2)/(b^2)^(1/2)*FresnelC(2^(1/2)/Pi^(1/2)/(b^2)^(1/2)*(b^2*x+a*b))","A"
88,0,0,14,0.150000," ","int(cos((b*x+a)^2)/x,x)","\int \frac{\cos \left(\left(b x +a \right)^{2}\right)}{x}\, dx"," ",0,"int(cos((b*x+a)^2)/x,x)","F"
89,0,0,14,0.133000," ","int(cos((b*x+a)^2)/x^2,x)","\int \frac{\cos \left(\left(b x +a \right)^{2}\right)}{x^{2}}\, dx"," ",0,"int(cos((b*x+a)^2)/x^2,x)","F"
90,1,825,310,0.050000," ","int(x^2*cos(a+b*(d*x+c)^(1/2)),x)","\frac{2 c^{2} \left(\cos \left(a +b \sqrt{d x +c}\right)+\left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)-2 a \,c^{2} \sin \left(a +b \sqrt{d x +c}\right)-\frac{4 c \left(\left(a +b \sqrt{d x +c}\right)^{3} \sin \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)-6 \cos \left(a +b \sqrt{d x +c}\right)-6 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{12 a c \left(\left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-2 \sin \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{12 a^{2} c \left(\cos \left(a +b \sqrt{d x +c}\right)+\left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{4 a^{3} c \sin \left(a +b \sqrt{d x +c}\right)}{b^{2}}+\frac{2 \left(\left(a +b \sqrt{d x +c}\right)^{5} \sin \left(a +b \sqrt{d x +c}\right)+5 \left(a +b \sqrt{d x +c}\right)^{4} \cos \left(a +b \sqrt{d x +c}\right)-20 \left(a +b \sqrt{d x +c}\right)^{3} \sin \left(a +b \sqrt{d x +c}\right)-60 \left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)+120 \cos \left(a +b \sqrt{d x +c}\right)+120 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{10 a \left(\left(a +b \sqrt{d x +c}\right)^{4} \sin \left(a +b \sqrt{d x +c}\right)+4 \left(a +b \sqrt{d x +c}\right)^{3} \cos \left(a +b \sqrt{d x +c}\right)-12 \left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)+24 \sin \left(a +b \sqrt{d x +c}\right)-24 \cos \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{20 a^{2} \left(\left(a +b \sqrt{d x +c}\right)^{3} \sin \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)-6 \cos \left(a +b \sqrt{d x +c}\right)-6 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{20 a^{3} \left(\left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-2 \sin \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{10 a^{4} \left(\cos \left(a +b \sqrt{d x +c}\right)+\left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{2 a^{5} \sin \left(a +b \sqrt{d x +c}\right)}{b^{4}}}{d^{3} b^{2}}"," ",0,"2/d^3/b^2*(c^2*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-a*c^2*sin(a+b*(d*x+c)^(1/2))-2/b^2*c*((a+b*(d*x+c)^(1/2))^3*sin(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))-6*cos(a+b*(d*x+c)^(1/2))-6*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+6/b^2*a*c*((a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-2*sin(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2)))-6/b^2*a^2*c*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+2/b^2*a^3*c*sin(a+b*(d*x+c)^(1/2))+1/b^4*((a+b*(d*x+c)^(1/2))^5*sin(a+b*(d*x+c)^(1/2))+5*(a+b*(d*x+c)^(1/2))^4*cos(a+b*(d*x+c)^(1/2))-20*(a+b*(d*x+c)^(1/2))^3*sin(a+b*(d*x+c)^(1/2))-60*(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))+120*cos(a+b*(d*x+c)^(1/2))+120*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-5/b^4*a*((a+b*(d*x+c)^(1/2))^4*sin(a+b*(d*x+c)^(1/2))+4*(a+b*(d*x+c)^(1/2))^3*cos(a+b*(d*x+c)^(1/2))-12*(a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))+24*sin(a+b*(d*x+c)^(1/2))-24*cos(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2)))+10/b^4*a^2*((a+b*(d*x+c)^(1/2))^3*sin(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))-6*cos(a+b*(d*x+c)^(1/2))-6*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-10/b^4*a^3*((a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-2*sin(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2)))+5/b^4*a^4*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-1/b^4*a^5*sin(a+b*(d*x+c)^(1/2)))","B"
91,1,299,149,0.043000," ","int(x*cos(a+b*(d*x+c)^(1/2)),x)","\frac{-2 c \left(\cos \left(a +b \sqrt{d x +c}\right)+\left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)+2 a c \sin \left(a +b \sqrt{d x +c}\right)+\frac{2 \left(\left(a +b \sqrt{d x +c}\right)^{3} \sin \left(a +b \sqrt{d x +c}\right)+3 \left(a +b \sqrt{d x +c}\right)^{2} \cos \left(a +b \sqrt{d x +c}\right)-6 \cos \left(a +b \sqrt{d x +c}\right)-6 \left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{6 a \left(\left(a +b \sqrt{d x +c}\right)^{2} \sin \left(a +b \sqrt{d x +c}\right)-2 \sin \left(a +b \sqrt{d x +c}\right)+2 \cos \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{6 a^{2} \left(\cos \left(a +b \sqrt{d x +c}\right)+\left(a +b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{2 a^{3} \sin \left(a +b \sqrt{d x +c}\right)}{b^{2}}}{d^{2} b^{2}}"," ",0,"2/d^2/b^2*(-c*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))+a*c*sin(a+b*(d*x+c)^(1/2))+1/b^2*((a+b*(d*x+c)^(1/2))^3*sin(a+b*(d*x+c)^(1/2))+3*(a+b*(d*x+c)^(1/2))^2*cos(a+b*(d*x+c)^(1/2))-6*cos(a+b*(d*x+c)^(1/2))-6*(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-3/b^2*a*((a+b*(d*x+c)^(1/2))^2*sin(a+b*(d*x+c)^(1/2))-2*sin(a+b*(d*x+c)^(1/2))+2*cos(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2)))+3/b^2*a^2*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2)))-1/b^2*a^3*sin(a+b*(d*x+c)^(1/2)))","A"
92,1,61,48,0.021000," ","int(cos(a+b*(d*x+c)^(1/2)),x)","\frac{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)-2 a \sin \left(a +b \sqrt{d x +c}\right)}{d \,b^{2}}"," ",0,"2/d/b^2*(cos(a+b*(d*x+c)^(1/2))+(a+b*(d*x+c)^(1/2))*sin(a+b*(d*x+c)^(1/2))-a*sin(a+b*(d*x+c)^(1/2)))","A"
93,1,271,102,0.058000," ","int(cos(a+b*(d*x+c)^(1/2))/x,x)","\frac{\frac{\left(a +b \sqrt{c}\right) b \left(\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \cos \left(a +b \sqrt{c}\right)\right)}{\sqrt{c}}-\frac{\left(a -b \sqrt{c}\right) b \left(-\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)\right)}{\sqrt{c}}-2 b^{2} a \left(\frac{\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \cos \left(a +b \sqrt{c}\right)}{2 b \sqrt{c}}-\frac{-\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)}{2 b \sqrt{c}}\right)}{b^{2}}"," ",0,"2/b^2*(1/2*(a+b*c^(1/2))*b/c^(1/2)*(Si(b*c^(1/2)-b*(d*x+c)^(1/2))*sin(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*cos(a+b*c^(1/2)))-1/2*(a-b*c^(1/2))*b/c^(1/2)*(-Si(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2)))-b^2*a*(1/2/b/c^(1/2)*(Si(b*c^(1/2)-b*(d*x+c)^(1/2))*sin(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*cos(a+b*c^(1/2)))-1/2/b/c^(1/2)*(-Si(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2)))))","B"
94,1,714,142,0.081000," ","int(cos(a+b*(d*x+c)^(1/2))/x^2,x)","\frac{2 d \left(\frac{\cos \left(a +b \sqrt{d x +c}\right) \left(-\frac{b^{2} a \left(a +b \sqrt{d x +c}\right)}{2 c}+\frac{b^{2} \left(-c \,b^{2}+a^{2}\right)}{2 c}\right)}{-c \,b^{2}+\left(a +b \sqrt{d x +c}\right)^{2}-2 a \left(a +b \sqrt{d x +c}\right)+a^{2}}-\frac{b a \left(\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \cos \left(a +b \sqrt{c}\right)\right)}{4 c^{\frac{3}{2}}}+\frac{b a \left(-\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)\right)}{4 c^{\frac{3}{2}}}-\frac{b \left(c \,b^{2}+a \left(a +b \sqrt{c}\right)-a^{2}\right) \left(-\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \sin \left(a +b \sqrt{c}\right)\right)}{4 c^{\frac{3}{2}}}+\frac{b \left(c \,b^{2}+a \left(a -b \sqrt{c}\right)-a^{2}\right) \left(\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)\right)}{4 c^{\frac{3}{2}}}-a \,b^{4} \left(\frac{\cos \left(a +b \sqrt{d x +c}\right) \left(-\frac{a +b \sqrt{d x +c}}{2 c \,b^{2}}+\frac{a}{2 c \,b^{2}}\right)}{-c \,b^{2}+\left(a +b \sqrt{d x +c}\right)^{2}-2 a \left(a +b \sqrt{d x +c}\right)+a^{2}}-\frac{\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \sin \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \cos \left(a +b \sqrt{c}\right)}{4 c^{\frac{3}{2}} b^{3}}+\frac{-\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)}{4 c^{\frac{3}{2}} b^{3}}-\frac{-\Si \left(b \sqrt{c}-b \sqrt{d x +c}\right) \cos \left(a +b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}-b \sqrt{c}\right) \sin \left(a +b \sqrt{c}\right)}{4 c \,b^{2}}-\frac{\Si \left(b \sqrt{d x +c}+b \sqrt{c}\right) \cos \left(a -b \sqrt{c}\right)+\Ci \left(b \sqrt{d x +c}+b \sqrt{c}\right) \sin \left(a -b \sqrt{c}\right)}{4 c \,b^{2}}\right)\right)}{b^{2}}"," ",0,"2*d/b^2*(cos(a+b*(d*x+c)^(1/2))*(-1/2*b^2*a/c*(a+b*(d*x+c)^(1/2))+1/2*b^2*(-b^2*c+a^2)/c)/(-c*b^2+(a+b*(d*x+c)^(1/2))^2-2*a*(a+b*(d*x+c)^(1/2))+a^2)-1/4*b*a/c^(3/2)*(Si(b*c^(1/2)-b*(d*x+c)^(1/2))*sin(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*cos(a+b*c^(1/2)))+1/4*b*a/c^(3/2)*(-Si(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2)))-1/4*b*(c*b^2+a*(a+b*c^(1/2))-a^2)/c^(3/2)*(-Si(b*c^(1/2)-b*(d*x+c)^(1/2))*cos(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*sin(a+b*c^(1/2)))+1/4*b*(c*b^2+a*(a-b*c^(1/2))-a^2)/c^(3/2)*(Si(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2)))-a*b^4*(cos(a+b*(d*x+c)^(1/2))*(-1/2/c/b^2*(a+b*(d*x+c)^(1/2))+1/2*a/c/b^2)/(-c*b^2+(a+b*(d*x+c)^(1/2))^2-2*a*(a+b*(d*x+c)^(1/2))+a^2)-1/4/c^(3/2)/b^3*(Si(b*c^(1/2)-b*(d*x+c)^(1/2))*sin(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*cos(a+b*c^(1/2)))+1/4/c^(3/2)/b^3*(-Si(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2)))-1/4/c/b^2*(-Si(b*c^(1/2)-b*(d*x+c)^(1/2))*cos(a+b*c^(1/2))+Ci(b*(d*x+c)^(1/2)-b*c^(1/2))*sin(a+b*c^(1/2)))-1/4/c/b^2*(Si(b*(d*x+c)^(1/2)+b*c^(1/2))*cos(a-b*c^(1/2))+Ci(b*(d*x+c)^(1/2)+b*c^(1/2))*sin(a-b*c^(1/2)))))","B"
95,1,1809,477,0.050000," ","int(x^2*cos(a+b*(d*x+c)^(1/3)),x)","\frac{3 c^{2} \left(\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)-2 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)-6 a \,c^{2} \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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 a^{2} c^{2} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\frac{6 c \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \sin \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} \cos \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} \sin \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} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+120 \cos \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) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{30 a c \left(\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)+4 \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)-12 \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)+24 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{60 a^{2} c \left(\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)+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)\right)}{b^{3}}+\frac{60 a^{3} c \left(\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)-2 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{30 a^{4} c \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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{6 a^{5} c \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{b^{3}}+\frac{3 \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{8} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+8 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{7} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-56 \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)-336 \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)+1680 \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)+6720 \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)-20160 \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)+40320 \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-40320 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{6}}-\frac{24 a \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{7} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+7 \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)-42 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-210 \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)+840 \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)+2520 \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)-5040 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-5040 \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^{6}}+\frac{84 a^{2} \left(\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)^{5} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-30 \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)-120 \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)+360 \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)-720 \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+720 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{6}}-\frac{168 a^{3} \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \sin \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} \cos \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} \sin \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} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+120 \cos \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) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{6}}+\frac{210 a^{4} \left(\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)+4 \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)-12 \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)+24 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{6}}-\frac{168 a^{5} \left(\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)+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)\right)}{b^{6}}+\frac{84 a^{6} \left(\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)-2 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{6}}-\frac{24 a^{7} \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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^{6}}+\frac{3 a^{8} \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{b^{6}}}{d^{3} b^{3}}"," ",0,"3/d^3/b^3*(c^2*((a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-2*a*c^2*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+a^2*c^2*sin(a+b*(d*x+c)^(1/3))-2/b^3*c*((a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))-20*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+120*cos(a+b*(d*x+c)^(1/3))+120*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+10/b^3*a*c*((a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-12*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+24*sin(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-20/b^3*a^2*c*((a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-6*cos(a+b*(d*x+c)^(1/3))-6*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+20/b^3*a^3*c*((a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-10/b^3*a^4*c*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+2/b^3*a^5*c*sin(a+b*(d*x+c)^(1/3))+1/b^6*((a+b*(d*x+c)^(1/3))^8*sin(a+b*(d*x+c)^(1/3))+8*(a+b*(d*x+c)^(1/3))^7*cos(a+b*(d*x+c)^(1/3))-56*(a+b*(d*x+c)^(1/3))^6*sin(a+b*(d*x+c)^(1/3))-336*(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))+1680*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+6720*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-20160*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+40320*sin(a+b*(d*x+c)^(1/3))-40320*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-8/b^6*a*((a+b*(d*x+c)^(1/3))^7*sin(a+b*(d*x+c)^(1/3))+7*(a+b*(d*x+c)^(1/3))^6*cos(a+b*(d*x+c)^(1/3))-42*(a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))-210*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))+840*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+2520*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-5040*cos(a+b*(d*x+c)^(1/3))-5040*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+28/b^6*a^2*((a+b*(d*x+c)^(1/3))^6*sin(a+b*(d*x+c)^(1/3))+6*(a+b*(d*x+c)^(1/3))^5*cos(a+b*(d*x+c)^(1/3))-30*(a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))+360*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-720*sin(a+b*(d*x+c)^(1/3))+720*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-56/b^6*a^3*((a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))-20*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+120*cos(a+b*(d*x+c)^(1/3))+120*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+70/b^6*a^4*((a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-12*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+24*sin(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-56/b^6*a^5*((a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-6*cos(a+b*(d*x+c)^(1/3))-6*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+28/b^6*a^6*((a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))-8/b^6*a^7*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+1/b^6*a^8*sin(a+b*(d*x+c)^(1/3)))","B"
96,1,655,231,0.045000," ","int(x*cos(a+b*(d*x+c)^(1/3)),x)","\frac{-3 c \left(\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)-2 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+6 a c \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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 a^{2} c \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\frac{3 \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \sin \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} \cos \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} \sin \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} \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+120 \cos \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) \sin \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{15 a \left(\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)+4 \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)-12 \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)+24 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{30 a^{2} \left(\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)+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)\right)}{b^{3}}-\frac{30 a^{3} \left(\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)-2 \sin \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) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{15 a^{4} \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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{3 a^{5} \sin \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*((a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))+2*a*c*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-a^2*c*sin(a+b*(d*x+c)^(1/3))+1/b^3*((a+b*(d*x+c)^(1/3))^5*sin(a+b*(d*x+c)^(1/3))+5*(a+b*(d*x+c)^(1/3))^4*cos(a+b*(d*x+c)^(1/3))-20*(a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))+120*cos(a+b*(d*x+c)^(1/3))+120*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-5/b^3*a*((a+b*(d*x+c)^(1/3))^4*sin(a+b*(d*x+c)^(1/3))+4*(a+b*(d*x+c)^(1/3))^3*cos(a+b*(d*x+c)^(1/3))-12*(a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))+24*sin(a+b*(d*x+c)^(1/3))-24*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))+10/b^3*a^2*((a+b*(d*x+c)^(1/3))^3*sin(a+b*(d*x+c)^(1/3))+3*(a+b*(d*x+c)^(1/3))^2*cos(a+b*(d*x+c)^(1/3))-6*cos(a+b*(d*x+c)^(1/3))-6*(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-10/b^3*a^3*((a+b*(d*x+c)^(1/3))^2*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3)))+5/b^3*a^4*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))-1/b^3*a^5*sin(a+b*(d*x+c)^(1/3)))","B"
97,1,131,75,0.034000," ","int(cos(a+b*(d*x+c)^(1/3)),x)","\frac{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 \cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-6 a \left(\cos \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+\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 a^{2} \sin \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*sin(a+b*(d*x+c)^(1/3))-2*sin(a+b*(d*x+c)^(1/3))+2*cos(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-2*a*(cos(a+b*(d*x+c)^(1/3))+(a+b*(d*x+c)^(1/3))*sin(a+b*(d*x+c)^(1/3)))+a^2*sin(a+b*(d*x+c)^(1/3)))","A"
98,1,279,182,0.067000," ","int(cos(a+b*(d*x+c)^(1/3))/x,x)","\frac{b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\textit{\_R1}^{2} \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)-2 b^{3} a \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\textit{\_R1} \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)+a^{2} b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{b^{3}}"," ",0,"3/b^3*(1/3*b^3*sum(_R1^2/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))-2/3*b^3*a*sum(_R1/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))+1/3*a^2*b^3*sum(1/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3)))","C"
99,1,933,246,0.097000," ","int(cos(a+b*(d*x+c)^(1/3))/x^2,x)","\frac{3 d \left(\frac{\cos \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 c}+\frac{a^{2} b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{c}-\frac{b^{3} \left(c \,b^{3}+a^{3}\right)}{3 c}\right)}{-c \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3}-3 a \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}+3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2}-a^{3}}-\frac{2 a \,b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\textit{\_R1} \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{9 c}-\frac{b^{3} \left(\munderset{\textit{\_RR1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\left(c \,b^{3}+2 \textit{\_RR1}^{2} a -3 \textit{\_RR1} \,a^{2}+a^{3}\right) \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \cos \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \sin \left(\textit{\_RR1} \right)\right)}{\textit{\_RR1}^{2}-2 \textit{\_RR1} a +a^{2}}\right)}{9 c}+\frac{\cos \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 c}-\frac{2 a^{2} b^{3} \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{3 c}\right)}{-c \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3}-3 a \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}+3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2}-a^{3}}+\frac{2 a \,b^{3} \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\left(\textit{\_R1} +a \right) \left(\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)\right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{9 c}+\frac{2 a \,b^{3} \left(\munderset{\textit{\_RR1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\textit{\_RR1} \left(-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \cos \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \sin \left(\textit{\_RR1} \right)\right)}{\textit{\_RR1} -a}\right)}{9 c}+a^{2} b^{6} \left(\frac{\cos \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 c \,b^{3}}+\frac{a}{3 c \,b^{3}}\right)}{-c \,b^{3}+\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3}-3 a \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}+3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) a^{2}-a^{3}}-\frac{2 \left(\munderset{\textit{\_R1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_R1} -a \right) \sin \left(\textit{\_R1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_R1} +a \right) \cos \left(\textit{\_R1} \right)}{\textit{\_R1}^{2}-2 \textit{\_R1} a +a^{2}}\right)}{9 c \,b^{3}}-\frac{\munderset{\textit{\_RR1} =\RootOf \left(-c \,b^{3}+\textit{\_Z}^{3}-3 a \,\textit{\_Z}^{2}+3 a^{2} \textit{\_Z} -a^{3}\right)}{\sum}\frac{-\Si \left(-b \left(d x +c \right)^{\frac{1}{3}}+\textit{\_RR1} -a \right) \cos \left(\textit{\_RR1} \right)+\Ci \left(b \left(d x +c \right)^{\frac{1}{3}}-\textit{\_RR1} +a \right) \sin \left(\textit{\_RR1} \right)}{\textit{\_RR1} -a}}{9 c \,b^{3}}\right)\right)}{b^{3}}"," ",0,"3*d/b^3*(cos(a+b*(d*x+c)^(1/3))*(-2/3*a*b^3/c*(a+b*(d*x+c)^(1/3))^2+a^2*b^3/c*(a+b*(d*x+c)^(1/3))-1/3*b^3*(b^3*c+a^3)/c)/(-c*b^3+(a+b*(d*x+c)^(1/3))^3-3*a*(a+b*(d*x+c)^(1/3))^2+3*(a+b*(d*x+c)^(1/3))*a^2-a^3)-2/9*a*b^3/c*sum(_R1/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))-1/9*b^3/c*sum((b^3*c+2*_RR1^2*a-3*_RR1*a^2+a^3)/(_RR1^2-2*_RR1*a+a^2)*(-Si(-b*(d*x+c)^(1/3)+_RR1-a)*cos(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*sin(_RR1)),_RR1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))+cos(a+b*(d*x+c)^(1/3))*(2/3*a*b^3/c*(a+b*(d*x+c)^(1/3))^2-2/3*a^2*b^3/c*(a+b*(d*x+c)^(1/3)))/(-c*b^3+(a+b*(d*x+c)^(1/3))^3-3*a*(a+b*(d*x+c)^(1/3))^2+3*(a+b*(d*x+c)^(1/3))*a^2-a^3)+2/9*a*b^3/c*sum((_R1+a)/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))+2/9*a*b^3/c*sum(_RR1/(_RR1-a)*(-Si(-b*(d*x+c)^(1/3)+_RR1-a)*cos(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*sin(_RR1)),_RR1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))+a^2*b^6*(cos(a+b*(d*x+c)^(1/3))*(-1/3/c/b^3*(a+b*(d*x+c)^(1/3))+1/3*a/c/b^3)/(-c*b^3+(a+b*(d*x+c)^(1/3))^3-3*a*(a+b*(d*x+c)^(1/3))^2+3*(a+b*(d*x+c)^(1/3))*a^2-a^3)-2/9/c/b^3*sum(1/(_R1^2-2*_R1*a+a^2)*(Si(-b*(d*x+c)^(1/3)+_R1-a)*sin(_R1)+Ci(b*(d*x+c)^(1/3)-_R1+a)*cos(_R1)),_R1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))-1/9/c/b^3*sum(1/(_RR1-a)*(-Si(-b*(d*x+c)^(1/3)+_RR1-a)*cos(_RR1)+Ci(b*(d*x+c)^(1/3)-_RR1+a)*sin(_RR1)),_RR1=RootOf(-b^3*c+_Z^3-3*_Z^2*a+3*_Z*a^2-a^3))))","C"