1,1,157,249,0.7178343,"\int x^2 \sin \left(a+b x+c x^2\right) \, dx","Integrate[x^2*Sin[a + b*x + c*x^2],x]","\frac{\sqrt{2 \pi } C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right) \left(b^2 \sin \left(a-\frac{b^2}{4 c}\right)+2 c \cos \left(a-\frac{b^2}{4 c}\right)\right)+\sqrt{2 \pi } S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right) \left(b^2 \cos \left(a-\frac{b^2}{4 c}\right)-2 c \sin \left(a-\frac{b^2}{4 c}\right)\right)+2 \sqrt{c} (b-2 c x) \cos (a+x (b+c x))}{8 c^{5/2}}","\frac{\sqrt{\frac{\pi }{2}} b^2 \sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} \sin \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 \cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{b \cos \left(a+b x+c x^2\right)}{4 c^2}-\frac{x \cos \left(a+b x+c x^2\right)}{2 c}",1,"(2*Sqrt[c]*(b - 2*c*x)*Cos[a + x*(b + c*x)] + Sqrt[2*Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*(2*c*Cos[a - b^2/(4*c)] + b^2*Sin[a - b^2/(4*c)]) + Sqrt[2*Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*(b^2*Cos[a - b^2/(4*c)] - 2*c*Sin[a - b^2/(4*c)]))/(8*c^(5/2))","A",1
2,1,111,123,0.3835557,"\int x \sin \left(a+b x+c x^2\right) \, dx","Integrate[x*Sin[a + b*x + c*x^2],x]","-\frac{\sqrt{2 \pi } b \sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\sqrt{2 \pi } b \cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+2 \sqrt{c} \cos (a+x (b+c x))}{4 c^{3/2}}","-\frac{\sqrt{\frac{\pi }{2}} b \sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b \cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{\cos \left(a+b x+c x^2\right)}{2 c}",1,"-1/4*(2*Sqrt[c]*Cos[a + x*(b + c*x)] + b*Sqrt[2*Pi]*Cos[a - b^2/(4*c)]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + b*Sqrt[2*Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a - b^2/(4*c)])/c^(3/2)","A",1
3,1,84,97,0.174224,"\int \sin \left(a+b x+c x^2\right) \, dx","Integrate[Sin[a + b*x + c*x^2],x]","\frac{\sqrt{\frac{\pi }{2}} \left(\sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)\right)}{\sqrt{c}}","\frac{\sqrt{\frac{\pi }{2}} \sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}",1,"(Sqrt[Pi/2]*(Cos[a - b^2/(4*c)]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a - b^2/(4*c)]))/Sqrt[c]","A",1
4,0,0,18,4.2066272,"\int \frac{\sin \left(a+b x+c x^2\right)}{x} \, dx","Integrate[Sin[a + b*x + c*x^2]/x,x]","\int \frac{\sin \left(a+b x+c x^2\right)}{x} \, dx","\text{Int}\left(\frac{\sin \left(a+b x+c x^2\right)}{x},x\right)",0,"Integrate[Sin[a + b*x + c*x^2]/x, x]","A",-1
5,1,110,110,0.7957183,"\int \left(-\frac{b \cos \left(a+b x+c x^2\right)}{x}+\frac{\sin \left(a+b x+c x^2\right)}{x^2}\right) \, dx","Integrate[-((b*Cos[a + b*x + c*x^2])/x) + Sin[a + b*x + c*x^2]/x^2,x]","\sqrt{2 \pi } \sqrt{c} \cos \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)-\frac{\sqrt{2 \pi } \sqrt{c} x \sin \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\sin (a+x (b+c x))}{x}","\sqrt{2 \pi } \sqrt{c} \cos \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)-\sqrt{2 \pi } \sqrt{c} \sin \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)-\frac{\sin \left(a+b x+c x^2\right)}{x}",1,"Sqrt[c]*Sqrt[2*Pi]*Cos[a - b^2/(4*c)]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] - (Sqrt[c]*Sqrt[2*Pi]*x*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a - b^2/(4*c)] + Sin[a + x*(b + c*x)])/x","A",1
6,1,165,251,0.7167249,"\int x^2 \sin \left(a+b x-c x^2\right) \, dx","Integrate[x^2*Sin[a + b*x - c*x^2],x]","\frac{-\sqrt{2 \pi } C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right) \left(2 c \cos \left(a+\frac{b^2}{4 c}\right)-b^2 \sin \left(a+\frac{b^2}{4 c}\right)\right)-\sqrt{2 \pi } S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right) \left(2 c \sin \left(a+\frac{b^2}{4 c}\right)+b^2 \cos \left(a+\frac{b^2}{4 c}\right)\right)+2 \sqrt{c} (b+2 c x) \cos (a+x (b-c x))}{8 c^{5/2}}","-\frac{\sqrt{\frac{\pi }{2}} b^2 \sin \left(a+\frac{b^2}{4 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a+\frac{b^2}{4 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} \sin \left(a+\frac{b^2}{4 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 \cos \left(a+\frac{b^2}{4 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{b \cos \left(a+b x-c x^2\right)}{4 c^2}+\frac{x \cos \left(a+b x-c x^2\right)}{2 c}",1,"(2*Sqrt[c]*(b + 2*c*x)*Cos[a + x*(b - c*x)] - Sqrt[2*Pi]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*(2*c*Cos[a + b^2/(4*c)] - b^2*Sin[a + b^2/(4*c)]) - Sqrt[2*Pi]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*(b^2*Cos[a + b^2/(4*c)] + 2*c*Sin[a + b^2/(4*c)]))/(8*c^(5/2))","A",1
7,1,117,124,0.325243,"\int x \sin \left(a+b x-c x^2\right) \, dx","Integrate[x*Sin[a + b*x - c*x^2],x]","\frac{\sqrt{2 \pi } b \sin \left(a+\frac{b^2}{4 c}\right) C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)-\sqrt{2 \pi } b \cos \left(a+\frac{b^2}{4 c}\right) S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)+2 \sqrt{c} \cos (a+x (b-c x))}{4 c^{3/2}}","-\frac{\sqrt{\frac{\pi }{2}} b \sin \left(a+\frac{b^2}{4 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b \cos \left(a+\frac{b^2}{4 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\cos \left(a+b x-c x^2\right)}{2 c}",1,"(2*Sqrt[c]*Cos[a + x*(b - c*x)] - b*Sqrt[2*Pi]*Cos[a + b^2/(4*c)]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + b*Sqrt[2*Pi]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a + b^2/(4*c)])/(4*c^(3/2))","A",1
8,1,89,98,0.1865832,"\int \sin \left(a+b x-c x^2\right) \, dx","Integrate[Sin[a + b*x - c*x^2],x]","\frac{\sqrt{\frac{\pi }{2}} \left(\sin \left(a+\frac{b^2}{4 c}\right) C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)-\cos \left(a+\frac{b^2}{4 c}\right) S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)\right)}{\sqrt{c}}","\frac{\sqrt{\frac{\pi }{2}} \cos \left(a+\frac{b^2}{4 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}-\frac{\sqrt{\frac{\pi }{2}} \sin \left(a+\frac{b^2}{4 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}",1,"(Sqrt[Pi/2]*(-(Cos[a + b^2/(4*c)]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]) + FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a + b^2/(4*c)]))/Sqrt[c]","A",1
9,0,0,19,4.8600957,"\int \frac{\sin \left(a+b x-c x^2\right)}{x} \, dx","Integrate[Sin[a + b*x - c*x^2]/x,x]","\int \frac{\sin \left(a+b x-c x^2\right)}{x} \, dx","\text{Int}\left(\frac{\sin \left(a+b x-c x^2\right)}{x},x\right)",0,"Integrate[Sin[a + b*x - c*x^2]/x, x]","A",-1
10,1,115,110,0.8120941,"\int \left(-\frac{b \cos \left(a+b x-c x^2\right)}{x}+\frac{\sin \left(a+b x-c x^2\right)}{x^2}\right) \, dx","Integrate[-((b*Cos[a + b*x - c*x^2])/x) + Sin[a + b*x - c*x^2]/x^2,x]","-\frac{\sqrt{2 \pi } \sqrt{c} x \cos \left(a+\frac{b^2}{4 c}\right) C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)+\sqrt{2 \pi } \sqrt{c} x \sin \left(a+\frac{b^2}{4 c}\right) S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{2 \pi }}\right)+\sin (a+x (b-c x))}{x}","\sqrt{2 \pi } \sqrt{c} \cos \left(a+\frac{b^2}{4 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\sqrt{2 \pi } \sqrt{c} \sin \left(a+\frac{b^2}{4 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)-\frac{\sin \left(a+b x-c x^2\right)}{x}",1,"-((Sqrt[c]*Sqrt[2*Pi]*x*Cos[a + b^2/(4*c)]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + Sqrt[c]*Sqrt[2*Pi]*x*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a + b^2/(4*c)] + Sin[a + x*(b - c*x)])/x)","A",1
11,1,66,82,0.1198665,"\int x^2 \sin \left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[x^2*Sin[1/4 + x + x^2],x]","\frac{1}{8} \left(2 \sqrt{2 \pi } C\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)+\sqrt{2 \pi } S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)+2 (1-2 x) \cos \left(x^2+x+\frac{1}{4}\right)\right)","\frac{1}{2} \sqrt{\frac{\pi }{2}} C\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)+\frac{1}{4} \sqrt{\frac{\pi }{2}} S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)-\frac{1}{2} x \cos \left(x^2+x+\frac{1}{4}\right)+\frac{1}{4} \cos \left(x^2+x+\frac{1}{4}\right)",1,"(2*(1 - 2*x)*Cos[1/4 + x + x^2] + 2*Sqrt[2*Pi]*FresnelC[(1 + 2*x)/Sqrt[2*Pi]] + Sqrt[2*Pi]*FresnelS[(1 + 2*x)/Sqrt[2*Pi]])/8","A",1
12,1,39,41,0.0482369,"\int x \sin \left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[x*Sin[1/4 + x + x^2],x]","\frac{1}{4} \left(-\sqrt{2 \pi } S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)-2 \cos \left(x^2+x+\frac{1}{4}\right)\right)","-\frac{1}{2} \sqrt{\frac{\pi }{2}} S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)-\frac{1}{2} \cos \left(x^2+x+\frac{1}{4}\right)",1,"(-2*Cos[1/4 + x + x^2] - Sqrt[2*Pi]*FresnelS[(1 + 2*x)/Sqrt[2*Pi]])/4","A",1
13,1,24,24,0.0255684,"\int \sin \left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[Sin[1/4 + x + x^2],x]","\sqrt{\frac{\pi }{2}} S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)","\sqrt{\frac{\pi }{2}} S\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)",1,"Sqrt[Pi/2]*FresnelS[(1 + 2*x)/Sqrt[2*Pi]]","A",1
14,0,0,16,14.1676314,"\int \frac{\sin \left(\frac{1}{4}+x+x^2\right)}{x} \, dx","Integrate[Sin[1/4 + x + x^2]/x,x]","\int \frac{\sin \left(\frac{1}{4}+x+x^2\right)}{x} \, dx","\text{Int}\left(\frac{\sin \left(x^2+x+\frac{1}{4}\right)}{x},x\right)",0,"Integrate[Sin[1/4 + x + x^2]/x, x]","A",-1
15,0,0,53,11.4012167,"\int \frac{\sin \left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","Integrate[Sin[1/4 + x + x^2]/x^2,x]","\int \frac{\sin \left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","\text{Int}\left(\frac{\cos \left(x^2+x+\frac{1}{4}\right)}{x},x\right)+\sqrt{2 \pi } C\left(\frac{2 x+1}{\sqrt{2 \pi }}\right)-\frac{\sin \left(x^2+x+\frac{1}{4}\right)}{x}",0,"Integrate[Sin[1/4 + x + x^2]/x^2, x]","A",-1
16,1,170,248,0.6657184,"\int x^2 \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[x^2*Sin[a + b*x + c*x^2]^2,x]","\frac{-3 \sqrt{\pi } C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right) \left(b^2 \cos \left(2 a-\frac{b^2}{2 c}\right)-c \sin \left(2 a-\frac{b^2}{2 c}\right)\right)+3 \sqrt{\pi } S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right) \left(b^2 \sin \left(2 a-\frac{b^2}{2 c}\right)+c \cos \left(2 a-\frac{b^2}{2 c}\right)\right)+\sqrt{c} \left(3 (b-2 c x) \sin (2 (a+x (b+c x)))+8 c^2 x^3\right)}{48 c^{5/2}}","\frac{\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}-\frac{\sqrt{\pi } b^2 \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } b^2 \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}+\frac{b \sin \left(2 a+2 b x+2 c x^2\right)}{16 c^2}-\frac{x \sin \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^3}{6}",1,"(3*Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*(c*Cos[2*a - b^2/(2*c)] + b^2*Sin[2*a - b^2/(2*c)]) - 3*Sqrt[Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*(b^2*Cos[2*a - b^2/(2*c)] - c*Sin[2*a - b^2/(2*c)]) + Sqrt[c]*(8*c^2*x^3 + 3*(b - 2*c*x)*Sin[2*(a + x*(b + c*x))]))/(48*c^(5/2))","A",1
17,1,118,126,0.2786493,"\int x \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[x*Sin[a + b*x + c*x^2]^2,x]","\frac{\sqrt{\pi } b \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)-\sqrt{\pi } b \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+\sqrt{c} \left(2 c x^2-\sin (2 (a+x (b+c x)))\right)}{8 c^{3/2}}","\frac{\sqrt{\pi } b \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}-\frac{\sin \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^2}{4}",1,"(b*Sqrt[Pi]*Cos[2*a - b^2/(2*c)]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])] - b*Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a - b^2/(2*c)] + Sqrt[c]*(2*c*x^2 - Sin[2*(a + x*(b + c*x))]))/(8*c^(3/2))","A",1
18,1,97,100,0.1038266,"\int \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[Sin[a + b*x + c*x^2]^2,x]","\frac{-\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+2 \sqrt{c} x}{4 \sqrt{c}}","-\frac{\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{x}{2}",1,"(2*Sqrt[c]*x - Sqrt[Pi]*Cos[2*a - b^2/(2*c)]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])] + Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a - b^2/(2*c)])/(4*Sqrt[c])","A",1
19,0,0,33,6.8749323,"\int \frac{\sin ^2\left(a+b x+c x^2\right)}{x} \, dx","Integrate[Sin[a + b*x + c*x^2]^2/x,x]","\int \frac{\sin ^2\left(a+b x+c x^2\right)}{x} \, dx","\frac{\log (x)}{2}-\frac{1}{2} \text{Int}\left(\frac{\cos \left(2 a+2 b x+2 c x^2\right)}{x},x\right)",0,"Integrate[Sin[a + b*x + c*x^2]^2/x, x]","A",-1
20,1,175,248,0.7095181,"\int x^2 \sin ^2\left(a+b x-c x^2\right) \, dx","Integrate[x^2*Sin[a + b*x - c*x^2]^2,x]","\frac{-3 \sqrt{\pi } C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right) \left(c \sin \left(2 a+\frac{b^2}{2 c}\right)+b^2 \cos \left(2 a+\frac{b^2}{2 c}\right)\right)+3 \sqrt{\pi } S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right) \left(c \cos \left(2 a+\frac{b^2}{2 c}\right)-b^2 \sin \left(2 a+\frac{b^2}{2 c}\right)\right)+\sqrt{c} \left(3 (b+2 c x) \sin (2 (a+x (b-c x)))+8 c^2 x^3\right)}{48 c^{5/2}}","\frac{\sqrt{\pi } \sin \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}+\frac{\sqrt{\pi } b^2 \cos \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } b^2 \sin \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}-\frac{\sqrt{\pi } \cos \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}+\frac{b \sin \left(2 a+2 b x-2 c x^2\right)}{16 c^2}+\frac{x \sin \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^3}{6}",1,"(3*Sqrt[Pi]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*(c*Cos[2*a + b^2/(2*c)] - b^2*Sin[2*a + b^2/(2*c)]) - 3*Sqrt[Pi]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*(b^2*Cos[2*a + b^2/(2*c)] + c*Sin[2*a + b^2/(2*c)]) + Sqrt[c]*(8*c^2*x^3 + 3*(b + 2*c*x)*Sin[2*(a + x*(b - c*x))]))/(48*c^(5/2))","A",1
21,1,122,126,0.2894683,"\int x \sin ^2\left(a+b x-c x^2\right) \, dx","Integrate[x*Sin[a + b*x - c*x^2]^2,x]","\frac{\sqrt{\pi } (-b) \cos \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right)-\sqrt{\pi } b \sin \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right)+\sqrt{c} \left(\sin (2 (a+x (b-c x)))+2 c x^2\right)}{8 c^{3/2}}","\frac{\sqrt{\pi } b \cos \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } b \sin \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}+\frac{\sin \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^2}{4}",1,"(-(b*Sqrt[Pi]*Cos[2*a + b^2/(2*c)]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]) - b*Sqrt[Pi]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a + b^2/(2*c)] + Sqrt[c]*(2*c*x^2 + Sin[2*(a + x*(b - c*x))]))/(8*c^(3/2))","A",1
22,1,102,100,0.1088816,"\int \sin ^2\left(a+b x-c x^2\right) \, dx","Integrate[Sin[a + b*x - c*x^2]^2,x]","\frac{-\sqrt{\pi } \cos \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right)-\sqrt{\pi } \sin \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{2 c x-b}{\sqrt{c} \sqrt{\pi }}\right)+2 \sqrt{c} x}{4 \sqrt{c}}","\frac{\sqrt{\pi } \cos \left(2 a+\frac{b^2}{2 c}\right) C\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } \sin \left(2 a+\frac{b^2}{2 c}\right) S\left(\frac{b-2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{x}{2}",1,"(2*Sqrt[c]*x - Sqrt[Pi]*Cos[2*a + b^2/(2*c)]*FresnelC[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])] - Sqrt[Pi]*FresnelS[(-b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a + b^2/(2*c)])/(4*Sqrt[c])","A",1
23,0,0,33,7.1903353,"\int \frac{\sin ^2\left(a+b x-c x^2\right)}{x} \, dx","Integrate[Sin[a + b*x - c*x^2]^2/x,x]","\int \frac{\sin ^2\left(a+b x-c x^2\right)}{x} \, dx","\frac{\log (x)}{2}-\frac{1}{2} \text{Int}\left(\frac{\cos \left(2 a+2 b x-2 c x^2\right)}{x},x\right)",0,"Integrate[Sin[a + b*x - c*x^2]^2/x, x]","A",-1
24,1,77,85,0.145962,"\int x^2 \sin ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[x^2*Sin[1/4 + x + x^2]^2,x]","\frac{1}{48} \left(-3 \sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)+3 \sqrt{\pi } S\left(\frac{2 x+1}{\sqrt{\pi }}\right)+8 x^3-6 x \sin \left(\frac{1}{2} (2 x+1)^2\right)+3 \sin \left(\frac{1}{2} (2 x+1)^2\right)\right)","-\frac{1}{16} \sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)+\frac{1}{16} \sqrt{\pi } S\left(\frac{2 x+1}{\sqrt{\pi }}\right)+\frac{x^3}{6}-\frac{1}{8} x \sin \left(2 x^2+2 x+\frac{1}{2}\right)+\frac{1}{16} \sin \left(2 x^2+2 x+\frac{1}{2}\right)",1,"(8*x^3 - 3*Sqrt[Pi]*FresnelC[(1 + 2*x)/Sqrt[Pi]] + 3*Sqrt[Pi]*FresnelS[(1 + 2*x)/Sqrt[Pi]] + 3*Sin[(1 + 2*x)^2/2] - 6*x*Sin[(1 + 2*x)^2/2])/48","A",1
25,1,42,46,0.0560435,"\int x \sin ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[x*Sin[1/4 + x + x^2]^2,x]","\frac{1}{8} \left(\sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)+2 x^2-\sin \left(\frac{1}{2} (2 x+1)^2\right)\right)","\frac{1}{8} \sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)+\frac{x^2}{4}-\frac{1}{8} \sin \left(2 x^2+2 x+\frac{1}{2}\right)",1,"(2*x^2 + Sqrt[Pi]*FresnelC[(1 + 2*x)/Sqrt[Pi]] - Sin[(1 + 2*x)^2/2])/8","A",1
26,1,27,27,0.0130592,"\int \sin ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Integrate[Sin[1/4 + x + x^2]^2,x]","\frac{1}{4} \left(2 x-\sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)\right)","\frac{x}{2}-\frac{1}{4} \sqrt{\pi } C\left(\frac{2 x+1}{\sqrt{\pi }}\right)",1,"(2*x - Sqrt[Pi]*FresnelC[(1 + 2*x)/Sqrt[Pi]])/4","A",1
27,0,0,31,10.4853038,"\int \frac{\sin ^2\left(\frac{1}{4}+x+x^2\right)}{x} \, dx","Integrate[Sin[1/4 + x + x^2]^2/x,x]","\int \frac{\sin ^2\left(\frac{1}{4}+x+x^2\right)}{x} \, dx","\frac{\log (x)}{2}-\frac{1}{2} \text{Int}\left(\frac{\cos \left(2 x^2+2 x+\frac{1}{2}\right)}{x},x\right)",0,"Integrate[Sin[1/4 + x + x^2]^2/x, x]","A",-1
28,0,0,66,10.6335793,"\int \frac{\sin ^2\left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","Integrate[Sin[1/4 + x + x^2]^2/x^2,x]","\int \frac{\sin ^2\left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","\text{Int}\left(\frac{\sin \left(2 x^2+2 x+\frac{1}{2}\right)}{x},x\right)+\sqrt{\pi } S\left(\frac{2 x+1}{\sqrt{\pi }}\right)+\frac{\cos \left(2 x^2+2 x+\frac{1}{2}\right)}{2 x}-\frac{1}{2 x}",0,"Integrate[Sin[1/4 + x + x^2]^2/x^2, x]","A",-1
29,1,186,285,1.3258458,"\int (d+e x)^2 \sin \left(a+b x+c x^2\right) \, dx","Integrate[(d + e*x)^2*Sin[a + b*x + c*x^2],x]","\frac{\sqrt{2 \pi } C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right) \left(\sin \left(a-\frac{b^2}{4 c}\right) (b e-2 c d)^2+2 c e^2 \cos \left(a-\frac{b^2}{4 c}\right)\right)+\sqrt{2 \pi } S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right) \left(\cos \left(a-\frac{b^2}{4 c}\right) (b e-2 c d)^2-2 c e^2 \sin \left(a-\frac{b^2}{4 c}\right)\right)+2 \sqrt{c} e \cos (a+x (b+c x)) (b e-2 c (2 d+e x))}{8 c^{5/2}}","\frac{\sqrt{\frac{\pi }{2}} \sin \left(a-\frac{b^2}{4 c}\right) (2 c d-b e)^2 C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a-\frac{b^2}{4 c}\right) (2 c d-b e)^2 S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{4 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^2 \cos \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} e^2 \sin \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{e (2 c d-b e) \cos \left(a+b x+c x^2\right)}{4 c^2}-\frac{e (d+e x) \cos \left(a+b x+c x^2\right)}{2 c}",1,"(2*Sqrt[c]*e*(b*e - 2*c*(2*d + e*x))*Cos[a + x*(b + c*x)] + Sqrt[2*Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*((-2*c*d + b*e)^2*Cos[a - b^2/(4*c)] - 2*c*e^2*Sin[a - b^2/(4*c)]) + Sqrt[2*Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*(2*c*e^2*Cos[a - b^2/(4*c)] + (-2*c*d + b*e)^2*Sin[a - b^2/(4*c)]))/(8*c^(5/2))","A",1
30,1,128,140,0.6556566,"\int (d+e x) \sin \left(a+b x+c x^2\right) \, dx","Integrate[(d + e*x)*Sin[a + b*x + c*x^2],x]","\frac{\sqrt{2 \pi } \sin \left(a-\frac{b^2}{4 c}\right) (2 c d-b e) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\sqrt{2 \pi } \cos \left(a-\frac{b^2}{4 c}\right) (2 c d-b e) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)-2 \sqrt{c} e \cos (a+x (b+c x))}{4 c^{3/2}}","\frac{\sqrt{\frac{\pi }{2}} \sin \left(a-\frac{b^2}{4 c}\right) (2 c d-b e) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a-\frac{b^2}{4 c}\right) (2 c d-b e) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{2 c^{3/2}}-\frac{e \cos \left(a+b x+c x^2\right)}{2 c}",1,"(-2*Sqrt[c]*e*Cos[a + x*(b + c*x)] + (2*c*d - b*e)*Sqrt[2*Pi]*Cos[a - b^2/(4*c)]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + (2*c*d - b*e)*Sqrt[2*Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a - b^2/(4*c)])/(4*c^(3/2))","A",1
31,1,84,97,0.0976031,"\int \sin \left(a+b x+c x^2\right) \, dx","Integrate[Sin[a + b*x + c*x^2],x]","\frac{\sqrt{\frac{\pi }{2}} \left(\sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)+\cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)\right)}{\sqrt{c}}","\frac{\sqrt{\frac{\pi }{2}} \sin \left(a-\frac{b^2}{4 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}+\frac{\sqrt{\frac{\pi }{2}} \cos \left(a-\frac{b^2}{4 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{2 \pi }}\right)}{\sqrt{c}}",1,"(Sqrt[Pi/2]*(Cos[a - b^2/(4*c)]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])] + FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[2*Pi])]*Sin[a - b^2/(4*c)]))/Sqrt[c]","A",1
32,0,0,22,7.748342,"\int \frac{\sin \left(a+b x+c x^2\right)}{d+e x} \, dx","Integrate[Sin[a + b*x + c*x^2]/(d + e*x),x]","\int \frac{\sin \left(a+b x+c x^2\right)}{d+e x} \, dx","\text{Int}\left(\frac{\sin \left(a+b x+c x^2\right)}{d+e x},x\right)",0,"Integrate[Sin[a + b*x + c*x^2]/(d + e*x), x]","A",-1
33,1,215,291,1.2160866,"\int (d+e x)^2 \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[(d + e*x)^2*Sin[a + b*x + c*x^2]^2,x]","\frac{-3 \sqrt{\pi } C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right) \left(\cos \left(2 a-\frac{b^2}{2 c}\right) (b e-2 c d)^2-c e^2 \sin \left(2 a-\frac{b^2}{2 c}\right)\right)+3 \sqrt{\pi } S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right) \left(\sin \left(2 a-\frac{b^2}{2 c}\right) (b e-2 c d)^2+c e^2 \cos \left(2 a-\frac{b^2}{2 c}\right)\right)+\sqrt{c} \left(8 c^2 x \left(3 d^2+3 d e x+e^2 x^2\right)-3 e \sin (2 (a+x (b+c x))) (-b e+4 c d+2 c e x)\right)}{48 c^{5/2}}","-\frac{\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e)^2 C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e)^2 S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^2 \sin \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}+\frac{\sqrt{\pi } e^2 \cos \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{16 c^{3/2}}-\frac{e (2 c d-b e) \sin \left(2 a+2 b x+2 c x^2\right)}{16 c^2}-\frac{e (d+e x) \sin \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^3}{6 e}",1,"(-3*Sqrt[Pi]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*((-2*c*d + b*e)^2*Cos[2*a - b^2/(2*c)] - c*e^2*Sin[2*a - b^2/(2*c)]) + 3*Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*(c*e^2*Cos[2*a - b^2/(2*c)] + (-2*c*d + b*e)^2*Sin[2*a - b^2/(2*c)]) + Sqrt[c]*(8*c^2*x*(3*d^2 + 3*d*e*x + e^2*x^2) - 3*e*(4*c*d - b*e + 2*c*e*x)*Sin[2*(a + x*(b + c*x))]))/(48*c^(5/2))","A",1
34,1,140,150,0.4564605,"\int (d+e x) \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[(d + e*x)*Sin[a + b*x + c*x^2]^2,x]","\frac{-\left(\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)\right)+\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+\sqrt{c} (2 c x (2 d+e x)-e \sin (2 (a+x (b+c x))))}{8 c^{3/2}}","-\frac{\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) (2 c d-b e) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{8 c^{3/2}}-\frac{e \sin \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^2}{4 e}",1,"(-((2*c*d - b*e)*Sqrt[Pi]*Cos[2*a - b^2/(2*c)]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]) + (2*c*d - b*e)*Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a - b^2/(2*c)] + Sqrt[c]*(2*c*x*(2*d + e*x) - e*Sin[2*(a + x*(b + c*x))]))/(8*c^(3/2))","A",1
35,1,97,100,0.0744802,"\int \sin ^2\left(a+b x+c x^2\right) \, dx","Integrate[Sin[a + b*x + c*x^2]^2,x]","\frac{-\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)+2 \sqrt{c} x}{4 \sqrt{c}}","-\frac{\sqrt{\pi } \cos \left(2 a-\frac{b^2}{2 c}\right) C\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } \sin \left(2 a-\frac{b^2}{2 c}\right) S\left(\frac{b+2 c x}{\sqrt{c} \sqrt{\pi }}\right)}{4 \sqrt{c}}+\frac{x}{2}",1,"(2*Sqrt[c]*x - Sqrt[Pi]*Cos[2*a - b^2/(2*c)]*FresnelC[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])] + Sqrt[Pi]*FresnelS[(b + 2*c*x)/(Sqrt[c]*Sqrt[Pi])]*Sin[2*a - b^2/(2*c)])/(4*Sqrt[c])","A",1
36,0,0,44,7.3959525,"\int \frac{\sin ^2\left(a+b x+c x^2\right)}{d+e x} \, dx","Integrate[Sin[a + b*x + c*x^2]^2/(d + e*x),x]","\int \frac{\sin ^2\left(a+b x+c x^2\right)}{d+e x} \, dx","\frac{\log (d+e x)}{2 e}-\frac{1}{2} \text{Int}\left(\frac{\cos \left(2 a+2 b x+2 c x^2\right)}{d+e x},x\right)",0,"Integrate[Sin[a + b*x + c*x^2]^2/(d + e*x), x]","A",-1