1,1,184,0,1.977309," ","integrate(x**7*fresnels(b*x),x)","\frac{231 x^{8} S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{512 \Gamma\left(\frac{15}{4}\right)} + \frac{231 x^{7} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{512 \pi b \Gamma\left(\frac{15}{4}\right)} - \frac{1617 x^{5} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{512 \pi^{2} b^{3} \Gamma\left(\frac{15}{4}\right)} - \frac{8085 x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{512 \pi^{3} b^{5} \Gamma\left(\frac{15}{4}\right)} + \frac{24255 x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{512 \pi^{4} b^{7} \Gamma\left(\frac{15}{4}\right)} - \frac{24255 S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{512 \pi^{4} b^{8} \Gamma\left(\frac{15}{4}\right)}"," ",0,"231*x**8*fresnels(b*x)*gamma(3/4)/(512*gamma(15/4)) + 231*x**7*cos(pi*b**2*x**2/2)*gamma(3/4)/(512*pi*b*gamma(15/4)) - 1617*x**5*sin(pi*b**2*x**2/2)*gamma(3/4)/(512*pi**2*b**3*gamma(15/4)) - 8085*x**3*cos(pi*b**2*x**2/2)*gamma(3/4)/(512*pi**3*b**5*gamma(15/4)) + 24255*x*sin(pi*b**2*x**2/2)*gamma(3/4)/(512*pi**4*b**7*gamma(15/4)) - 24255*fresnels(b*x)*gamma(3/4)/(512*pi**4*b**8*gamma(15/4))","A",0
2,1,156,0,1.500386," ","integrate(x**6*fresnels(b*x),x)","\frac{3 x^{7} S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{28 \Gamma\left(\frac{7}{4}\right)} + \frac{3 x^{6} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{28 \pi b \Gamma\left(\frac{7}{4}\right)} - \frac{9 x^{4} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{14 \pi^{2} b^{3} \Gamma\left(\frac{7}{4}\right)} - \frac{18 x^{2} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{7 \pi^{3} b^{5} \Gamma\left(\frac{7}{4}\right)} + \frac{36 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{7 \pi^{4} b^{7} \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*x**7*fresnels(b*x)*gamma(3/4)/(28*gamma(7/4)) + 3*x**6*cos(pi*b**2*x**2/2)*gamma(3/4)/(28*pi*b*gamma(7/4)) - 9*x**4*sin(pi*b**2*x**2/2)*gamma(3/4)/(14*pi**2*b**3*gamma(7/4)) - 18*x**2*cos(pi*b**2*x**2/2)*gamma(3/4)/(7*pi**3*b**5*gamma(7/4)) + 36*sin(pi*b**2*x**2/2)*gamma(3/4)/(7*pi**4*b**7*gamma(7/4))","A",0
3,1,53,0,0.853343," ","integrate(x**5*fresnels(b*x),x)","\frac{\pi b^{3} x^{9} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{9}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{13}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{32 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{13}{4}\right)}"," ",0,"pi*b**3*x**9*gamma(3/4)*gamma(9/4)*hyper((3/4, 9/4), (3/2, 7/4, 13/4), -pi**2*b**4*x**4/16)/(32*gamma(7/4)*gamma(13/4))","A",0
4,1,121,0,1.460247," ","integrate(x**4*fresnels(b*x),x)","\frac{3 x^{5} S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{20 \Gamma\left(\frac{7}{4}\right)} + \frac{3 x^{4} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{20 \pi b \Gamma\left(\frac{7}{4}\right)} - \frac{3 x^{2} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{5 \pi^{2} b^{3} \Gamma\left(\frac{7}{4}\right)} - \frac{6 \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{5 \pi^{3} b^{5} \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*x**5*fresnels(b*x)*gamma(3/4)/(20*gamma(7/4)) + 3*x**4*cos(pi*b**2*x**2/2)*gamma(3/4)/(20*pi*b*gamma(7/4)) - 3*x**2*sin(pi*b**2*x**2/2)*gamma(3/4)/(5*pi**2*b**3*gamma(7/4)) - 6*cos(pi*b**2*x**2/2)*gamma(3/4)/(5*pi**3*b**5*gamma(7/4))","A",0
5,1,112,0,0.851844," ","integrate(x**3*fresnels(b*x),x)","\frac{21 x^{4} S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{64 \Gamma\left(\frac{11}{4}\right)} + \frac{21 x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{64 \pi b \Gamma\left(\frac{11}{4}\right)} - \frac{63 x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{64 \pi^{2} b^{3} \Gamma\left(\frac{11}{4}\right)} + \frac{63 S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{64 \pi^{2} b^{4} \Gamma\left(\frac{11}{4}\right)}"," ",0,"21*x**4*fresnels(b*x)*gamma(3/4)/(64*gamma(11/4)) + 21*x**3*cos(pi*b**2*x**2/2)*gamma(3/4)/(64*pi*b*gamma(11/4)) - 63*x*sin(pi*b**2*x**2/2)*gamma(3/4)/(64*pi**2*b**3*gamma(11/4)) + 63*fresnels(b*x)*gamma(3/4)/(64*pi**2*b**4*gamma(11/4))","A",0
6,1,80,0,0.801960," ","integrate(x**2*fresnels(b*x),x)","\frac{x^{3} S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{x^{2} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{4 \pi b \Gamma\left(\frac{7}{4}\right)} - \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{2 \pi^{2} b^{3} \Gamma\left(\frac{7}{4}\right)}"," ",0,"x**3*fresnels(b*x)*gamma(3/4)/(4*gamma(7/4)) + x**2*cos(pi*b**2*x**2/2)*gamma(3/4)/(4*pi*b*gamma(7/4)) - sin(pi*b**2*x**2/2)*gamma(3/4)/(2*pi**2*b**3*gamma(7/4))","A",0
7,1,53,0,0.517064," ","integrate(x*fresnels(b*x),x)","\frac{\pi b^{3} x^{5} \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4} \\ \frac{3}{2}, \frac{7}{4}, \frac{9}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{32 \Gamma\left(\frac{7}{4}\right) \Gamma\left(\frac{9}{4}\right)}"," ",0,"pi*b**3*x**5*gamma(3/4)*gamma(5/4)*hyper((3/4, 5/4), (3/2, 7/4, 9/4), -pi**2*b**4*x**4/16)/(32*gamma(7/4)*gamma(9/4))","A",0
8,1,48,0,0.740282," ","integrate(fresnels(b*x),x)","\frac{3 x S\left(b x\right) \Gamma\left(\frac{3}{4}\right)}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{3 \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{3}{4}\right)}{4 \pi b \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*x*fresnels(b*x)*gamma(3/4)/(4*gamma(7/4)) + 3*cos(pi*b**2*x**2/2)*gamma(3/4)/(4*pi*b*gamma(7/4))","B",0
9,-2,0,0,0.000000," ","integrate(fresnels(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
10,1,42,0,0.635341," ","integrate(fresnels(b*x)/x**2,x)","\frac{\pi b^{3} x^{2} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{3}{2}, \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 \Gamma\left(\frac{7}{4}\right)}"," ",0,"pi*b**3*x**2*gamma(3/4)*hyper((1/2, 3/4), (3/2, 3/2, 7/4), -pi**2*b**4*x**4/16)/(16*gamma(7/4))","B",0
11,1,51,0,0.572119," ","integrate(fresnels(b*x)/x**3,x)","\frac{\pi b^{3} x \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{5}{4}, \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{32 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)}"," ",0,"pi*b**3*x*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (5/4, 3/2, 7/4), -pi**2*b**4*x**4/16)/(32*gamma(5/4)*gamma(7/4))","A",0
12,1,56,0,1.013657," ","integrate(fresnels(b*x)/x**4,x)","- \frac{\pi^{3} b^{7} x^{4} \Gamma\left(\frac{7}{4}\right) {{}_{3}F_{4}\left(\begin{matrix} 1, 1, \frac{7}{4} \\ 2, 2, \frac{5}{2}, \frac{11}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{768 \Gamma\left(\frac{11}{4}\right)} + \frac{\pi b^{3} \log{\left(b^{4} x^{4} \right)}}{24}"," ",0,"-pi**3*b**7*x**4*gamma(7/4)*hyper((1, 1, 7/4), (2, 2, 5/2, 11/4), -pi**2*b**4*x**4/16)/(768*gamma(11/4)) + pi*b**3*log(b**4*x**4)/24","A",0
13,1,110,0,0.964507," ","integrate(fresnels(b*x)/x**5,x)","\frac{\pi^{2} b^{4} S\left(b x\right) \Gamma\left(- \frac{1}{4}\right)}{64 \Gamma\left(\frac{7}{4}\right)} + \frac{\pi b^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{1}{4}\right)}{64 x \Gamma\left(\frac{7}{4}\right)} + \frac{b \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{1}{4}\right)}{64 x^{3} \Gamma\left(\frac{7}{4}\right)} + \frac{3 S\left(b x\right) \Gamma\left(- \frac{1}{4}\right)}{64 x^{4} \Gamma\left(\frac{7}{4}\right)}"," ",0,"pi**2*b**4*fresnels(b*x)*gamma(-1/4)/(64*gamma(7/4)) + pi*b**3*cos(pi*b**2*x**2/2)*gamma(-1/4)/(64*x*gamma(7/4)) + b*sin(pi*b**2*x**2/2)*gamma(-1/4)/(64*x**3*gamma(7/4)) + 3*fresnels(b*x)*gamma(-1/4)/(64*x**4*gamma(7/4))","A",0
14,1,46,0,0.909630," ","integrate(fresnels(b*x)/x**6,x)","- \frac{\pi b^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{1}{2}, \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 x^{2} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-pi*b**3*gamma(3/4)*hyper((-1/2, 3/4), (1/2, 3/2, 7/4), -pi**2*b**4*x**4/16)/(16*x**2*gamma(7/4))","A",0
15,1,56,0,1.145394," ","integrate(fresnels(b*x)/x**7,x)","\frac{\pi b^{3} \Gamma\left(- \frac{3}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{3}{4}, \frac{3}{4} \\ \frac{1}{4}, \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{32 x^{3} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{7}{4}\right)}"," ",0,"pi*b**3*gamma(-3/4)*gamma(3/4)*hyper((-3/4, 3/4), (1/4, 3/2, 7/4), -pi**2*b**4*x**4/16)/(32*x**3*gamma(1/4)*gamma(7/4))","A",0
16,1,68,0,2.052763," ","integrate(fresnels(b*x)/x**8,x)","\frac{\pi^{5} b^{11} x^{4} \Gamma\left(\frac{11}{4}\right) {{}_{3}F_{4}\left(\begin{matrix} 1, 1, \frac{11}{4} \\ 2, 3, \frac{7}{2}, \frac{15}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{61440 \Gamma\left(\frac{15}{4}\right)} - \frac{\pi^{3} b^{7} \log{\left(b^{4} x^{4} \right)}}{1344} - \frac{\pi b^{3}}{24 x^{4}}"," ",0,"pi**5*b**11*x**4*gamma(11/4)*hyper((1, 1, 11/4), (2, 3, 7/2, 15/4), -pi**2*b**4*x**4/16)/(61440*gamma(15/4)) - pi**3*b**7*log(b**4*x**4)/1344 - pi*b**3/(24*x**4)","A",0
17,1,185,0,2.540667," ","integrate(fresnels(b*x)/x**9,x)","\frac{\pi^{4} b^{8} S\left(b x\right) \Gamma\left(- \frac{5}{4}\right)}{3584 \Gamma\left(\frac{7}{4}\right)} + \frac{\pi^{3} b^{7} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{3584 x \Gamma\left(\frac{7}{4}\right)} + \frac{\pi^{2} b^{5} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{3584 x^{3} \Gamma\left(\frac{7}{4}\right)} - \frac{3 \pi b^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{3584 x^{5} \Gamma\left(\frac{7}{4}\right)} - \frac{15 b \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{5}{4}\right)}{3584 x^{7} \Gamma\left(\frac{7}{4}\right)} - \frac{15 S\left(b x\right) \Gamma\left(- \frac{5}{4}\right)}{512 x^{8} \Gamma\left(\frac{7}{4}\right)}"," ",0,"pi**4*b**8*fresnels(b*x)*gamma(-5/4)/(3584*gamma(7/4)) + pi**3*b**7*cos(pi*b**2*x**2/2)*gamma(-5/4)/(3584*x*gamma(7/4)) + pi**2*b**5*sin(pi*b**2*x**2/2)*gamma(-5/4)/(3584*x**3*gamma(7/4)) - 3*pi*b**3*cos(pi*b**2*x**2/2)*gamma(-5/4)/(3584*x**5*gamma(7/4)) - 15*b*sin(pi*b**2*x**2/2)*gamma(-5/4)/(3584*x**7*gamma(7/4)) - 15*fresnels(b*x)*gamma(-5/4)/(512*x**8*gamma(7/4))","A",0
18,1,48,0,2.755792," ","integrate(fresnels(b*x)/x**10,x)","- \frac{\pi b^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{3}{2}, \frac{3}{4} \\ - \frac{1}{2}, \frac{3}{2}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{48 x^{6} \Gamma\left(\frac{7}{4}\right)}"," ",0,"-pi*b**3*gamma(3/4)*hyper((-3/2, 3/4), (-1/2, 3/2, 7/4), -pi**2*b**4*x**4/16)/(48*x**6*gamma(7/4))","A",0
19,0,0,0,0.000000," ","integrate((d*x+c)**3*fresnels(b*x+a),x)","\int \left(c + d x\right)^{3} S\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**3*fresnels(a + b*x), x)","F",0
20,0,0,0,0.000000," ","integrate((d*x+c)**2*fresnels(b*x+a),x)","\int \left(c + d x\right)^{2} S\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**2*fresnels(a + b*x), x)","F",0
21,0,0,0,0.000000," ","integrate((d*x+c)*fresnels(b*x+a),x)","\int \left(c + d x\right) S\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)*fresnels(a + b*x), x)","F",0
22,0,0,0,0.000000," ","integrate(fresnels(b*x+a),x)","\int S\left(a + b x\right)\, dx"," ",0,"Integral(fresnels(a + b*x), x)","F",0
23,0,0,0,0.000000," ","integrate(fresnels(b*x+a)/(d*x+c),x)","\int \frac{S\left(a + b x\right)}{c + d x}\, dx"," ",0,"Integral(fresnels(a + b*x)/(c + d*x), x)","F",0
24,0,0,0,0.000000," ","integrate(fresnels(b*x+a)/(d*x+c)**2,x)","\int \frac{S\left(a + b x\right)}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(fresnels(a + b*x)/(c + d*x)**2, x)","F",0
25,0,0,0,0.000000," ","integrate(x**3*fresnels(b*x+a),x)","\int x^{3} S\left(a + b x\right)\, dx"," ",0,"Integral(x**3*fresnels(a + b*x), x)","F",0
26,0,0,0,0.000000," ","integrate(x**2*fresnels(b*x+a),x)","\int x^{2} S\left(a + b x\right)\, dx"," ",0,"Integral(x**2*fresnels(a + b*x), x)","F",0
27,0,0,0,0.000000," ","integrate(x*fresnels(b*x+a),x)","\int x S\left(a + b x\right)\, dx"," ",0,"Integral(x*fresnels(a + b*x), x)","F",0
28,0,0,0,0.000000," ","integrate(fresnels(b*x+a),x)","\int S\left(a + b x\right)\, dx"," ",0,"Integral(fresnels(a + b*x), x)","F",0
29,0,0,0,0.000000," ","integrate(fresnels(b*x+a)/x,x)","\int \frac{S\left(a + b x\right)}{x}\, dx"," ",0,"Integral(fresnels(a + b*x)/x, x)","F",0
30,0,0,0,0.000000," ","integrate(fresnels(b*x+a)/x**2,x)","\int \frac{S\left(a + b x\right)}{x^{2}}\, dx"," ",0,"Integral(fresnels(a + b*x)/x**2, x)","F",0
31,0,0,0,0.000000," ","integrate(x**7*fresnels(b*x)**2,x)","\int x^{7} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**7*fresnels(b*x)**2, x)","F",0
32,0,0,0,0.000000," ","integrate(x**6*fresnels(b*x)**2,x)","\int x^{6} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**6*fresnels(b*x)**2, x)","F",0
33,0,0,0,0.000000," ","integrate(x**5*fresnels(b*x)**2,x)","\int x^{5} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**5*fresnels(b*x)**2, x)","F",0
34,0,0,0,0.000000," ","integrate(x**4*fresnels(b*x)**2,x)","\int x^{4} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**4*fresnels(b*x)**2, x)","F",0
35,0,0,0,0.000000," ","integrate(x**3*fresnels(b*x)**2,x)","\int x^{3} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**3*fresnels(b*x)**2, x)","F",0
36,0,0,0,0.000000," ","integrate(x**2*fresnels(b*x)**2,x)","\int x^{2} S^{2}\left(b x\right)\, dx"," ",0,"Integral(x**2*fresnels(b*x)**2, x)","F",0
37,0,0,0,0.000000," ","integrate(x*fresnels(b*x)**2,x)","\int x S^{2}\left(b x\right)\, dx"," ",0,"Integral(x*fresnels(b*x)**2, x)","F",0
38,0,0,0,0.000000," ","integrate(fresnels(b*x)**2,x)","\int S^{2}\left(b x\right)\, dx"," ",0,"Integral(fresnels(b*x)**2, x)","F",0
39,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x,x)","\int \frac{S^{2}\left(b x\right)}{x}\, dx"," ",0,"Integral(fresnels(b*x)**2/x, x)","F",0
40,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**2,x)","\int \frac{S^{2}\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**2, x)","F",0
41,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**3,x)","\int \frac{S^{2}\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**3, x)","F",0
42,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**4,x)","\int \frac{S^{2}\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**4, x)","F",0
43,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**5,x)","\int \frac{S^{2}\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**5, x)","F",0
44,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**6,x)","\int \frac{S^{2}\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**6, x)","F",0
45,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**7,x)","\int \frac{S^{2}\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**7, x)","F",0
46,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**8,x)","\int \frac{S^{2}\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**8, x)","F",0
47,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**9,x)","\int \frac{S^{2}\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**9, x)","F",0
48,0,0,0,0.000000," ","integrate(fresnels(b*x)**2/x**10,x)","\int \frac{S^{2}\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(fresnels(b*x)**2/x**10, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)**2*fresnels(b*x+a)**2,x)","\int \left(c + d x\right)^{2} S^{2}\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**2*fresnels(a + b*x)**2, x)","F",0
50,0,0,0,0.000000," ","integrate((d*x+c)*fresnels(b*x+a)**2,x)","\int \left(c + d x\right) S^{2}\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)*fresnels(a + b*x)**2, x)","F",0
51,0,0,0,0.000000," ","integrate(fresnels(b*x+a)**2,x)","\int S^{2}\left(a + b x\right)\, dx"," ",0,"Integral(fresnels(a + b*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate(fresnels(b*x+a)**2/(d*x+c),x)","\int \frac{S^{2}\left(a + b x\right)}{c + d x}\, dx"," ",0,"Integral(fresnels(a + b*x)**2/(c + d*x), x)","F",0
53,0,0,0,0.000000," ","integrate(fresnels(b*x+a)**2/(d*x+c)**2,x)","\int \frac{S^{2}\left(a + b x\right)}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(fresnels(a + b*x)**2/(c + d*x)**2, x)","F",0
54,0,0,0,0.000000," ","integrate(x**2*fresnels(d*(a+b*ln(c*x**n))),x)","\int x^{2} S\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral(x**2*fresnels(a*d + b*d*log(c*x**n)), x)","F",0
55,0,0,0,0.000000," ","integrate(x*fresnels(d*(a+b*ln(c*x**n))),x)","\int x S\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral(x*fresnels(a*d + b*d*log(c*x**n)), x)","F",0
56,0,0,0,0.000000," ","integrate(fresnels(d*(a+b*ln(c*x**n))),x)","\int S\left(d \left(a + b \log{\left(c x^{n} \right)}\right)\right)\, dx"," ",0,"Integral(fresnels(d*(a + b*log(c*x**n))), x)","F",0
57,0,0,0,0.000000," ","integrate(fresnels(d*(a+b*ln(c*x**n)))/x,x)","\int \frac{S\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x}\, dx"," ",0,"Integral(fresnels(a*d + b*d*log(c*x**n))/x, x)","F",0
58,0,0,0,0.000000," ","integrate(fresnels(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{S\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x^{2}}\, dx"," ",0,"Integral(fresnels(a*d + b*d*log(c*x**n))/x**2, x)","F",0
59,0,0,0,0.000000," ","integrate(fresnels(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{S\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x^{3}}\, dx"," ",0,"Integral(fresnels(a*d + b*d*log(c*x**n))/x**3, x)","F",0
60,0,0,0,0.000000," ","integrate((e*x)**m*fresnels(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} S\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*fresnels(a*d + b*d*log(c*x**n)), x)","F",0
61,0,0,0,0.000000," ","integrate(exp(c+1/2*I*b**2*pi*x**2)*fresnels(b*x),x)","e^{c} \int e^{\frac{i \pi b^{2} x^{2}}{2}} S\left(b x\right)\, dx"," ",0,"exp(c)*Integral(exp(I*pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
62,0,0,0,0.000000," ","integrate(exp(c-1/2*I*b**2*pi*x**2)*fresnels(b*x),x)","e^{c} \int e^{- \frac{i \pi b^{2} x^{2}}{2}} S\left(b x\right)\, dx"," ",0,"exp(c)*Integral(exp(-I*pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
63,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(c+1/2*b**2*pi*x**2),x)","\int \sin{\left(\frac{\pi b^{2} x^{2}}{2} + c \right)} S\left(b x\right)\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2 + c)*fresnels(b*x), x)","F",0
64,0,0,0,0.000000," ","integrate(cos(c+1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int \cos{\left(\frac{\pi b^{2} x^{2}}{2} + c \right)} S\left(b x\right)\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2 + c)*fresnels(b*x), x)","F",0
65,1,10,0,1.039929," ","integrate(fresnels(b*x)**2*sin(1/2*b**2*pi*x**2),x)","\begin{cases} \frac{S^{3}\left(b x\right)}{3 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnels(b*x)**3/(3*b), Ne(b, 0)), (0, True))","A",0
66,1,10,0,0.366241," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\begin{cases} \frac{S^{2}\left(b x\right)}{2 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnels(b*x)**2/(2*b), Ne(b, 0)), (0, True))","A",0
67,1,8,0,0.216697," ","integrate(sin(1/2*b**2*pi*x**2)/fresnels(b*x),x)","\begin{cases} \frac{\log{\left(S\left(b x\right) \right)}}{b} & \text{for}\: b \neq 0 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(fresnels(b*x))/b, Ne(b, 0)), (nan, True))","A",0
68,1,10,0,0.655273," ","integrate(sin(1/2*b**2*pi*x**2)/fresnels(b*x)**2,x)","\begin{cases} - \frac{1}{b S\left(b x\right)} & \text{for}\: b \neq 0 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(b*fresnels(b*x)), Ne(b, 0)), (nan, True))","A",0
69,1,14,0,1.531091," ","integrate(sin(1/2*b**2*pi*x**2)/fresnels(b*x)**3,x)","\begin{cases} - \frac{1}{2 b S^{2}\left(b x\right)} & \text{for}\: b \neq 0 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(2*b*fresnels(b*x)**2), Ne(b, 0)), (nan, True))","A",0
70,1,31,0,2.979409," ","integrate(fresnels(b*x)**n*sin(1/2*b**2*pi*x**2),x)","\begin{cases} 0 & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = -1\right) \\\frac{\log{\left(S\left(b x\right) \right)}}{b} & \text{for}\: n = -1 \\\frac{S\left(b x\right) S^{n}\left(b x\right)}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(b, 0) & (Eq(b, 0) | Eq(n, -1))), (log(fresnels(b*x))/b, Eq(n, -1)), (fresnels(b*x)*fresnels(b*x)**n/(b*n + b), True))","A",0
71,-1,0,0,0.000000," ","integrate(x**8*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,0,0,0,0.000000," ","integrate(x**7*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{7} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**7*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
73,0,0,0,0.000000," ","integrate(x**6*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{6} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**6*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
74,0,0,0,0.000000," ","integrate(x**5*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{5} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**5*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
75,1,151,0,17.564742," ","integrate(x**4*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\begin{cases} - \frac{x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi b^{2}} - \frac{x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} - \frac{x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{2} b^{3}} + \frac{3 x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi^{2} b^{4}} + \frac{2 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{3} b^{5}} - \frac{3 S^{2}\left(b x\right)}{2 \pi^{2} b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**3*cos(pi*b**2*x**2/2)*fresnels(b*x)/(pi*b**2) - x**2*sin(pi*b**2*x**2/2)**2/(2*pi**2*b**3) - x**2*cos(pi*b**2*x**2/2)**2/(pi**2*b**3) + 3*x*sin(pi*b**2*x**2/2)*fresnels(b*x)/(pi**2*b**4) + 2*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(pi**3*b**5) - 3*fresnels(b*x)**2/(2*pi**2*b**5), Ne(b, 0)), (0, True))","A",0
76,0,0,0,0.000000," ","integrate(x**3*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**3*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
77,0,0,0,0.000000," ","integrate(x**2*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{2} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**2*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
78,0,0,0,0.000000," ","integrate(x*fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x*sin(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
79,1,10,0,0.339953," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2),x)","\begin{cases} \frac{S^{2}\left(b x\right)}{2 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnels(b*x)**2/(2*b), Ne(b, 0)), (0, True))","A",0
80,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x, x)","F",0
81,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**2,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**2, x)","F",0
82,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**3,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**3, x)","F",0
83,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**4,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**4, x)","F",0
84,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**5,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**5, x)","F",0
85,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**6,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**6, x)","F",0
86,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**7,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**7, x)","F",0
87,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**8,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**8, x)","F",0
88,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**9,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**9, x)","F",0
89,0,0,0,0.000000," ","integrate(fresnels(b*x)*sin(1/2*b**2*pi*x**2)/x**10,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnels(b*x)/x**10, x)","F",0
90,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)**n,x)","\int \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S^{n}\left(b x\right)\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)**n, x)","F",0
91,0,0,0,0.000000," ","integrate(x**8*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x^{8} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**8*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
92,0,0,0,0.000000," ","integrate(x**7*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x^{7} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**7*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
93,1,264,0,75.440002," ","integrate(x**6*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\begin{cases} - \frac{x^{6} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{12 \pi b} - \frac{x^{6} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{12 \pi b} + \frac{x^{5} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi b^{2}} + \frac{x^{4} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} + \frac{5 x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi^{2} b^{4}} + \frac{2 x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{3} b^{5}} + \frac{11 x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{3} b^{5}} - \frac{15 x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi^{3} b^{6}} - \frac{11 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{4} b^{7}} + \frac{15 S^{2}\left(b x\right)}{2 \pi^{3} b^{7}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**6*sin(pi*b**2*x**2/2)**2/(12*pi*b) - x**6*cos(pi*b**2*x**2/2)**2/(12*pi*b) + x**5*sin(pi*b**2*x**2/2)*fresnels(b*x)/(pi*b**2) + x**4*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(2*pi**2*b**3) + 5*x**3*cos(pi*b**2*x**2/2)*fresnels(b*x)/(pi**2*b**4) + 2*x**2*sin(pi*b**2*x**2/2)**2/(pi**3*b**5) + 11*x**2*cos(pi*b**2*x**2/2)**2/(2*pi**3*b**5) - 15*x*sin(pi*b**2*x**2/2)*fresnels(b*x)/(pi**3*b**6) - 11*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(pi**4*b**7) + 15*fresnels(b*x)**2/(2*pi**3*b**7), Ne(b, 0)), (0, True))","A",0
94,0,0,0,0.000000," ","integrate(x**5*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x^{5} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**5*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
95,0,0,0,0.000000," ","integrate(x**4*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x^{4} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**4*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
96,0,0,0,0.000000," ","integrate(x**3*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x**3*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
97,1,114,0,2.890818," ","integrate(x**2*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\begin{cases} - \frac{x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{4 \pi b} - \frac{x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{4 \pi b} + \frac{x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{\pi b^{2}} + \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} - \frac{S^{2}\left(b x\right)}{2 \pi b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x**2*sin(pi*b**2*x**2/2)**2/(4*pi*b) - x**2*cos(pi*b**2*x**2/2)**2/(4*pi*b) + x*sin(pi*b**2*x**2/2)*fresnels(b*x)/(pi*b**2) + sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(2*pi**2*b**3) - fresnels(b*x)**2/(2*pi*b**3), Ne(b, 0)), (0, True))","A",0
98,0,0,0,0.000000," ","integrate(x*cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(x*cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
99,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x),x)","\int \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x), x)","F",0
100,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x, x)","F",0
101,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**2,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**2, x)","F",0
102,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**3,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**3, x)","F",0
103,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**4,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**4, x)","F",0
104,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**5,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**5, x)","F",0
105,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**6,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**6, x)","F",0
106,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**7,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**7, x)","F",0
107,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**8,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**8, x)","F",0
108,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**9,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**9, x)","F",0
109,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnels(b*x)/x**10,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} S\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnels(b*x)/x**10, x)","F",0
110,1,184,0,2.310231," ","integrate(x**7*fresnelc(b*x),x)","\frac{45 x^{8} C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{512 \Gamma\left(\frac{13}{4}\right)} - \frac{45 x^{7} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{512 \pi b \Gamma\left(\frac{13}{4}\right)} - \frac{315 x^{5} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{512 \pi^{2} b^{3} \Gamma\left(\frac{13}{4}\right)} + \frac{1575 x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{512 \pi^{3} b^{5} \Gamma\left(\frac{13}{4}\right)} + \frac{4725 x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{512 \pi^{4} b^{7} \Gamma\left(\frac{13}{4}\right)} - \frac{4725 C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{512 \pi^{4} b^{8} \Gamma\left(\frac{13}{4}\right)}"," ",0,"45*x**8*fresnelc(b*x)*gamma(1/4)/(512*gamma(13/4)) - 45*x**7*sin(pi*b**2*x**2/2)*gamma(1/4)/(512*pi*b*gamma(13/4)) - 315*x**5*cos(pi*b**2*x**2/2)*gamma(1/4)/(512*pi**2*b**3*gamma(13/4)) + 1575*x**3*sin(pi*b**2*x**2/2)*gamma(1/4)/(512*pi**3*b**5*gamma(13/4)) + 4725*x*cos(pi*b**2*x**2/2)*gamma(1/4)/(512*pi**4*b**7*gamma(13/4)) - 4725*fresnelc(b*x)*gamma(1/4)/(512*pi**4*b**8*gamma(13/4))","A",0
111,1,153,0,2.227928," ","integrate(x**6*fresnelc(b*x),x)","\frac{x^{7} C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{28 \Gamma\left(\frac{5}{4}\right)} - \frac{x^{6} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{28 \pi b \Gamma\left(\frac{5}{4}\right)} - \frac{3 x^{4} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{14 \pi^{2} b^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{6 x^{2} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{7 \pi^{3} b^{5} \Gamma\left(\frac{5}{4}\right)} + \frac{12 \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{7 \pi^{4} b^{7} \Gamma\left(\frac{5}{4}\right)}"," ",0,"x**7*fresnelc(b*x)*gamma(1/4)/(28*gamma(5/4)) - x**6*sin(pi*b**2*x**2/2)*gamma(1/4)/(28*pi*b*gamma(5/4)) - 3*x**4*cos(pi*b**2*x**2/2)*gamma(1/4)/(14*pi**2*b**3*gamma(5/4)) + 6*x**2*sin(pi*b**2*x**2/2)*gamma(1/4)/(7*pi**3*b**5*gamma(5/4)) + 12*cos(pi*b**2*x**2/2)*gamma(1/4)/(7*pi**4*b**7*gamma(5/4))","A",0
112,1,49,0,0.974269," ","integrate(x**5*fresnelc(b*x),x)","\frac{b x^{7} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{7}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{11}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{11}{4}\right)}"," ",0,"b*x**7*gamma(1/4)*gamma(7/4)*hyper((1/4, 7/4), (1/2, 5/4, 11/4), -pi**2*b**4*x**4/16)/(16*gamma(5/4)*gamma(11/4))","A",0
113,1,116,0,1.204500," ","integrate(x**4*fresnelc(b*x),x)","\frac{x^{5} C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{20 \Gamma\left(\frac{5}{4}\right)} - \frac{x^{4} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{20 \pi b \Gamma\left(\frac{5}{4}\right)} - \frac{x^{2} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{5 \pi^{2} b^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{2 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{5 \pi^{3} b^{5} \Gamma\left(\frac{5}{4}\right)}"," ",0,"x**5*fresnelc(b*x)*gamma(1/4)/(20*gamma(5/4)) - x**4*sin(pi*b**2*x**2/2)*gamma(1/4)/(20*pi*b*gamma(5/4)) - x**2*cos(pi*b**2*x**2/2)*gamma(1/4)/(5*pi**2*b**3*gamma(5/4)) + 2*sin(pi*b**2*x**2/2)*gamma(1/4)/(5*pi**3*b**5*gamma(5/4))","A",0
114,1,112,0,1.008374," ","integrate(x**3*fresnelc(b*x),x)","\frac{5 x^{4} C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{64 \Gamma\left(\frac{9}{4}\right)} - \frac{5 x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{64 \pi b \Gamma\left(\frac{9}{4}\right)} - \frac{15 x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{64 \pi^{2} b^{3} \Gamma\left(\frac{9}{4}\right)} + \frac{15 C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{64 \pi^{2} b^{4} \Gamma\left(\frac{9}{4}\right)}"," ",0,"5*x**4*fresnelc(b*x)*gamma(1/4)/(64*gamma(9/4)) - 5*x**3*sin(pi*b**2*x**2/2)*gamma(1/4)/(64*pi*b*gamma(9/4)) - 15*x*cos(pi*b**2*x**2/2)*gamma(1/4)/(64*pi**2*b**3*gamma(9/4)) + 15*fresnelc(b*x)*gamma(1/4)/(64*pi**2*b**4*gamma(9/4))","A",0
115,1,80,0,1.109537," ","integrate(x**2*fresnelc(b*x),x)","\frac{x^{3} C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{12 \Gamma\left(\frac{5}{4}\right)} - \frac{x^{2} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{12 \pi b \Gamma\left(\frac{5}{4}\right)} - \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{6 \pi^{2} b^{3} \Gamma\left(\frac{5}{4}\right)}"," ",0,"x**3*fresnelc(b*x)*gamma(1/4)/(12*gamma(5/4)) - x**2*sin(pi*b**2*x**2/2)*gamma(1/4)/(12*pi*b*gamma(5/4)) - cos(pi*b**2*x**2/2)*gamma(1/4)/(6*pi**2*b**3*gamma(5/4))","A",0
116,1,49,0,0.601021," ","integrate(x*fresnelc(b*x),x)","\frac{b x^{3} \Gamma\left(\frac{1}{4}\right) \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} \\ \frac{1}{2}, \frac{5}{4}, \frac{7}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 \Gamma\left(\frac{5}{4}\right) \Gamma\left(\frac{7}{4}\right)}"," ",0,"b*x**3*gamma(1/4)*gamma(3/4)*hyper((1/4, 3/4), (1/2, 5/4, 7/4), -pi**2*b**4*x**4/16)/(16*gamma(5/4)*gamma(7/4))","A",0
117,1,44,0,0.703945," ","integrate(fresnelc(b*x),x)","\frac{x C\left(b x\right) \Gamma\left(\frac{1}{4}\right)}{4 \Gamma\left(\frac{5}{4}\right)} - \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(\frac{1}{4}\right)}{4 \pi b \Gamma\left(\frac{5}{4}\right)}"," ",0,"x*fresnelc(b*x)*gamma(1/4)/(4*gamma(5/4)) - sin(pi*b**2*x**2/2)*gamma(1/4)/(4*pi*b*gamma(5/4))","B",0
118,-2,0,0,0.000000," ","integrate(fresnelc(b*x)/x,x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
119,1,53,0,1.055625," ","integrate(fresnelc(b*x)/x**2,x)","- \frac{\pi^{2} b^{5} x^{4} \Gamma\left(\frac{5}{4}\right) {{}_{3}F_{4}\left(\begin{matrix} 1, 1, \frac{5}{4} \\ \frac{3}{2}, 2, 2, \frac{9}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{128 \Gamma\left(\frac{9}{4}\right)} + \frac{b \log{\left(b^{4} x^{4} \right)}}{4}"," ",0,"-pi**2*b**5*x**4*gamma(5/4)*hyper((1, 1, 5/4), (3/2, 2, 2, 9/4), -pi**2*b**4*x**4/16)/(128*gamma(9/4)) + b*log(b**4*x**4)/4","B",0
120,1,51,0,0.697463," ","integrate(fresnelc(b*x)/x**3,x)","\frac{b \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} \\ \frac{1}{2}, \frac{3}{4}, \frac{5}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 x \Gamma\left(\frac{3}{4}\right) \Gamma\left(\frac{5}{4}\right)}"," ",0,"b*gamma(-1/4)*gamma(1/4)*hyper((-1/4, 1/4), (1/2, 3/4, 5/4), -pi**2*b**4*x**4/16)/(16*x*gamma(3/4)*gamma(5/4))","A",0
121,1,42,0,0.808178," ","integrate(fresnelc(b*x)/x**4,x)","- \frac{b \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{1}{2}, \frac{1}{2}, \frac{5}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{8 x^{2} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-b*gamma(1/4)*hyper((-1/2, 1/4), (1/2, 1/2, 5/4), -pi**2*b**4*x**4/16)/(8*x**2*gamma(5/4))","A",0
122,1,110,0,1.348047," ","integrate(fresnelc(b*x)/x**5,x)","\frac{\pi^{2} b^{4} C\left(b x\right) \Gamma\left(- \frac{3}{4}\right)}{64 \Gamma\left(\frac{5}{4}\right)} - \frac{\pi b^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{3}{4}\right)}{64 x \Gamma\left(\frac{5}{4}\right)} + \frac{b \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{3}{4}\right)}{64 x^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{3 C\left(b x\right) \Gamma\left(- \frac{3}{4}\right)}{64 x^{4} \Gamma\left(\frac{5}{4}\right)}"," ",0,"pi**2*b**4*fresnelc(b*x)*gamma(-3/4)/(64*gamma(5/4)) - pi*b**3*sin(pi*b**2*x**2/2)*gamma(-3/4)/(64*x*gamma(5/4)) + b*cos(pi*b**2*x**2/2)*gamma(-3/4)/(64*x**3*gamma(5/4)) + 3*fresnelc(b*x)*gamma(-3/4)/(64*x**4*gamma(5/4))","A",0
123,1,65,0,1.758852," ","integrate(fresnelc(b*x)/x**6,x)","\frac{\pi^{4} b^{9} x^{4} \Gamma\left(\frac{9}{4}\right) {{}_{3}F_{4}\left(\begin{matrix} 1, 1, \frac{9}{4} \\ 2, \frac{5}{2}, 3, \frac{13}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{6144 \Gamma\left(\frac{13}{4}\right)} - \frac{\pi^{2} b^{5} \log{\left(b^{4} x^{4} \right)}}{160} - \frac{b}{4 x^{4}}"," ",0,"pi**4*b**9*x**4*gamma(9/4)*hyper((1, 1, 9/4), (2, 5/2, 3, 13/4), -pi**2*b**4*x**4/16)/(6144*gamma(13/4)) - pi**2*b**5*log(b**4*x**4)/160 - b/(4*x**4)","A",0
124,1,56,0,1.422372," ","integrate(fresnelc(b*x)/x**7,x)","\frac{b \Gamma\left(- \frac{5}{4}\right) \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{5}{4}, \frac{1}{4} \\ - \frac{1}{4}, \frac{1}{2}, \frac{5}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{16 x^{5} \Gamma\left(- \frac{1}{4}\right) \Gamma\left(\frac{5}{4}\right)}"," ",0,"b*gamma(-5/4)*gamma(1/4)*hyper((-5/4, 1/4), (-1/4, 1/2, 5/4), -pi**2*b**4*x**4/16)/(16*x**5*gamma(-1/4)*gamma(5/4))","A",0
125,1,44,0,1.904351," ","integrate(fresnelc(b*x)/x**8,x)","- \frac{b \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{3}\left(\begin{matrix} - \frac{3}{2}, \frac{1}{4} \\ - \frac{1}{2}, \frac{1}{2}, \frac{5}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{24 x^{6} \Gamma\left(\frac{5}{4}\right)}"," ",0,"-b*gamma(1/4)*hyper((-3/2, 1/4), (-1/2, 1/2, 5/4), -pi**2*b**4*x**4/16)/(24*x**6*gamma(5/4))","A",0
126,1,185,0,2.907781," ","integrate(fresnelc(b*x)/x**9,x)","\frac{\pi^{4} b^{8} C\left(b x\right) \Gamma\left(- \frac{7}{4}\right)}{2560 \Gamma\left(\frac{5}{4}\right)} - \frac{\pi^{3} b^{7} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{7}{4}\right)}{2560 x \Gamma\left(\frac{5}{4}\right)} + \frac{\pi^{2} b^{5} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{7}{4}\right)}{2560 x^{3} \Gamma\left(\frac{5}{4}\right)} + \frac{3 \pi b^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{7}{4}\right)}{2560 x^{5} \Gamma\left(\frac{5}{4}\right)} - \frac{3 b \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \Gamma\left(- \frac{7}{4}\right)}{512 x^{7} \Gamma\left(\frac{5}{4}\right)} - \frac{21 C\left(b x\right) \Gamma\left(- \frac{7}{4}\right)}{512 x^{8} \Gamma\left(\frac{5}{4}\right)}"," ",0,"pi**4*b**8*fresnelc(b*x)*gamma(-7/4)/(2560*gamma(5/4)) - pi**3*b**7*sin(pi*b**2*x**2/2)*gamma(-7/4)/(2560*x*gamma(5/4)) + pi**2*b**5*cos(pi*b**2*x**2/2)*gamma(-7/4)/(2560*x**3*gamma(5/4)) + 3*pi*b**3*sin(pi*b**2*x**2/2)*gamma(-7/4)/(2560*x**5*gamma(5/4)) - 3*b*cos(pi*b**2*x**2/2)*gamma(-7/4)/(512*x**7*gamma(5/4)) - 21*fresnelc(b*x)*gamma(-7/4)/(512*x**8*gamma(5/4))","A",0
127,1,76,0,3.817831," ","integrate(fresnelc(b*x)/x**10,x)","- \frac{\pi^{6} b^{13} x^{4} \Gamma\left(\frac{13}{4}\right) {{}_{3}F_{4}\left(\begin{matrix} 1, 1, \frac{13}{4} \\ 2, \frac{7}{2}, 4, \frac{17}{4} \end{matrix}\middle| {- \frac{\pi^{2} b^{4} x^{4}}{16}} \right)}}{737280 \Gamma\left(\frac{17}{4}\right)} + \frac{\pi^{4} b^{9} \log{\left(b^{4} x^{4} \right)}}{13824} + \frac{\pi^{2} b^{5}}{160 x^{4}} - \frac{b}{8 x^{8}}"," ",0,"-pi**6*b**13*x**4*gamma(13/4)*hyper((1, 1, 13/4), (2, 7/2, 4, 17/4), -pi**2*b**4*x**4/16)/(737280*gamma(17/4)) + pi**4*b**9*log(b**4*x**4)/13824 + pi**2*b**5/(160*x**4) - b/(8*x**8)","A",0
128,0,0,0,0.000000," ","integrate((d*x+c)**3*fresnelc(b*x+a),x)","\int \left(c + d x\right)^{3} C\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**3*fresnelc(a + b*x), x)","F",0
129,0,0,0,0.000000," ","integrate((d*x+c)**2*fresnelc(b*x+a),x)","\int \left(c + d x\right)^{2} C\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**2*fresnelc(a + b*x), x)","F",0
130,0,0,0,0.000000," ","integrate((d*x+c)*fresnelc(b*x+a),x)","\int \left(c + d x\right) C\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)*fresnelc(a + b*x), x)","F",0
131,0,0,0,0.000000," ","integrate(fresnelc(b*x+a),x)","\int C\left(a + b x\right)\, dx"," ",0,"Integral(fresnelc(a + b*x), x)","F",0
132,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)/(d*x+c),x)","\int \frac{C\left(a + b x\right)}{c + d x}\, dx"," ",0,"Integral(fresnelc(a + b*x)/(c + d*x), x)","F",0
133,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)/(d*x+c)**2,x)","\int \frac{C\left(a + b x\right)}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(fresnelc(a + b*x)/(c + d*x)**2, x)","F",0
134,0,0,0,0.000000," ","integrate(x**3*fresnelc(b*x+a),x)","\int x^{3} C\left(a + b x\right)\, dx"," ",0,"Integral(x**3*fresnelc(a + b*x), x)","F",0
135,0,0,0,0.000000," ","integrate(x**2*fresnelc(b*x+a),x)","\int x^{2} C\left(a + b x\right)\, dx"," ",0,"Integral(x**2*fresnelc(a + b*x), x)","F",0
136,0,0,0,0.000000," ","integrate(x*fresnelc(b*x+a),x)","\int x C\left(a + b x\right)\, dx"," ",0,"Integral(x*fresnelc(a + b*x), x)","F",0
137,0,0,0,0.000000," ","integrate(fresnelc(b*x+a),x)","\int C\left(a + b x\right)\, dx"," ",0,"Integral(fresnelc(a + b*x), x)","F",0
138,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)/x,x)","\int \frac{C\left(a + b x\right)}{x}\, dx"," ",0,"Integral(fresnelc(a + b*x)/x, x)","F",0
139,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)/x**2,x)","\int \frac{C\left(a + b x\right)}{x^{2}}\, dx"," ",0,"Integral(fresnelc(a + b*x)/x**2, x)","F",0
140,0,0,0,0.000000," ","integrate(x**7*fresnelc(b*x)**2,x)","\int x^{7} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**7*fresnelc(b*x)**2, x)","F",0
141,0,0,0,0.000000," ","integrate(x**6*fresnelc(b*x)**2,x)","\int x^{6} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**6*fresnelc(b*x)**2, x)","F",0
142,0,0,0,0.000000," ","integrate(x**5*fresnelc(b*x)**2,x)","\int x^{5} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**5*fresnelc(b*x)**2, x)","F",0
143,0,0,0,0.000000," ","integrate(x**4*fresnelc(b*x)**2,x)","\int x^{4} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**4*fresnelc(b*x)**2, x)","F",0
144,0,0,0,0.000000," ","integrate(x**3*fresnelc(b*x)**2,x)","\int x^{3} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**3*fresnelc(b*x)**2, x)","F",0
145,0,0,0,0.000000," ","integrate(x**2*fresnelc(b*x)**2,x)","\int x^{2} C^{2}\left(b x\right)\, dx"," ",0,"Integral(x**2*fresnelc(b*x)**2, x)","F",0
146,0,0,0,0.000000," ","integrate(x*fresnelc(b*x)**2,x)","\int x C^{2}\left(b x\right)\, dx"," ",0,"Integral(x*fresnelc(b*x)**2, x)","F",0
147,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2,x)","\int C^{2}\left(b x\right)\, dx"," ",0,"Integral(fresnelc(b*x)**2, x)","F",0
148,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x,x)","\int \frac{C^{2}\left(b x\right)}{x}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x, x)","F",0
149,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**2,x)","\int \frac{C^{2}\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**2, x)","F",0
150,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**3,x)","\int \frac{C^{2}\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**3, x)","F",0
151,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**4,x)","\int \frac{C^{2}\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**4, x)","F",0
152,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**5,x)","\int \frac{C^{2}\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**5, x)","F",0
153,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**6,x)","\int \frac{C^{2}\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**6, x)","F",0
154,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**7,x)","\int \frac{C^{2}\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**7, x)","F",0
155,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**8,x)","\int \frac{C^{2}\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**8, x)","F",0
156,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**9,x)","\int \frac{C^{2}\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**9, x)","F",0
157,0,0,0,0.000000," ","integrate(fresnelc(b*x)**2/x**10,x)","\int \frac{C^{2}\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(fresnelc(b*x)**2/x**10, x)","F",0
158,0,0,0,0.000000," ","integrate((d*x+c)**2*fresnelc(b*x+a)**2,x)","\int \left(c + d x\right)^{2} C^{2}\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)**2*fresnelc(a + b*x)**2, x)","F",0
159,0,0,0,0.000000," ","integrate((d*x+c)*fresnelc(b*x+a)**2,x)","\int \left(c + d x\right) C^{2}\left(a + b x\right)\, dx"," ",0,"Integral((c + d*x)*fresnelc(a + b*x)**2, x)","F",0
160,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)**2,x)","\int C^{2}\left(a + b x\right)\, dx"," ",0,"Integral(fresnelc(a + b*x)**2, x)","F",0
161,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)**2/(d*x+c),x)","\int \frac{C^{2}\left(a + b x\right)}{c + d x}\, dx"," ",0,"Integral(fresnelc(a + b*x)**2/(c + d*x), x)","F",0
162,0,0,0,0.000000," ","integrate(fresnelc(b*x+a)**2/(d*x+c)**2,x)","\int \frac{C^{2}\left(a + b x\right)}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(fresnelc(a + b*x)**2/(c + d*x)**2, x)","F",0
163,0,0,0,0.000000," ","integrate(x**2*fresnelc(d*(a+b*ln(c*x**n))),x)","\int x^{2} C\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral(x**2*fresnelc(a*d + b*d*log(c*x**n)), x)","F",0
164,0,0,0,0.000000," ","integrate(x*fresnelc(d*(a+b*ln(c*x**n))),x)","\int x C\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral(x*fresnelc(a*d + b*d*log(c*x**n)), x)","F",0
165,0,0,0,0.000000," ","integrate(fresnelc(d*(a+b*ln(c*x**n))),x)","\int C\left(d \left(a + b \log{\left(c x^{n} \right)}\right)\right)\, dx"," ",0,"Integral(fresnelc(d*(a + b*log(c*x**n))), x)","F",0
166,0,0,0,0.000000," ","integrate(fresnelc(d*(a+b*ln(c*x**n)))/x,x)","\int \frac{C\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x}\, dx"," ",0,"Integral(fresnelc(a*d + b*d*log(c*x**n))/x, x)","F",0
167,0,0,0,0.000000," ","integrate(fresnelc(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{C\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x^{2}}\, dx"," ",0,"Integral(fresnelc(a*d + b*d*log(c*x**n))/x**2, x)","F",0
168,0,0,0,0.000000," ","integrate(fresnelc(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{C\left(a d + b d \log{\left(c x^{n} \right)}\right)}{x^{3}}\, dx"," ",0,"Integral(fresnelc(a*d + b*d*log(c*x**n))/x**3, x)","F",0
169,0,0,0,0.000000," ","integrate((e*x)**m*fresnelc(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} C\left(a d + b d \log{\left(c x^{n} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*fresnelc(a*d + b*d*log(c*x**n)), x)","F",0
170,0,0,0,0.000000," ","integrate(exp(c+1/2*I*b**2*pi*x**2)*fresnelc(b*x),x)","e^{c} \int e^{\frac{i \pi b^{2} x^{2}}{2}} C\left(b x\right)\, dx"," ",0,"exp(c)*Integral(exp(I*pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
171,0,0,0,0.000000," ","integrate(exp(c-1/2*I*b**2*pi*x**2)*fresnelc(b*x),x)","e^{c} \int e^{- \frac{i \pi b^{2} x^{2}}{2}} C\left(b x\right)\, dx"," ",0,"exp(c)*Integral(exp(-I*pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
172,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(c+1/2*b**2*pi*x**2),x)","\int \sin{\left(\frac{\pi b^{2} x^{2}}{2} + c \right)} C\left(b x\right)\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2 + c)*fresnelc(b*x), x)","F",0
173,0,0,0,0.000000," ","integrate(cos(c+1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int \cos{\left(\frac{\pi b^{2} x^{2}}{2} + c \right)} C\left(b x\right)\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2 + c)*fresnelc(b*x), x)","F",0
174,1,10,0,1.177653," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)**2,x)","\begin{cases} \frac{C^{3}\left(b x\right)}{3 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnelc(b*x)**3/(3*b), Ne(b, 0)), (0, True))","A",0
175,1,10,0,0.389863," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\begin{cases} \frac{C^{2}\left(b x\right)}{2 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnelc(b*x)**2/(2*b), Ne(b, 0)), (0, True))","A",0
176,1,10,0,0.241429," ","integrate(cos(1/2*b**2*pi*x**2)/fresnelc(b*x),x)","\begin{cases} \frac{\log{\left(C\left(b x\right) \right)}}{b} & \text{for}\: b \neq 0 \\\tilde{\infty} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(fresnelc(b*x))/b, Ne(b, 0)), (zoo*x, True))","A",0
177,1,12,0,0.751237," ","integrate(cos(1/2*b**2*pi*x**2)/fresnelc(b*x)**2,x)","\begin{cases} - \frac{1}{b C\left(b x\right)} & \text{for}\: b \neq 0 \\\tilde{\infty} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(b*fresnelc(b*x)), Ne(b, 0)), (zoo*x, True))","A",0
178,1,15,0,1.660374," ","integrate(cos(1/2*b**2*pi*x**2)/fresnelc(b*x)**3,x)","\begin{cases} - \frac{1}{2 b C^{2}\left(b x\right)} & \text{for}\: b \neq 0 \\\tilde{\infty} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(2*b*fresnelc(b*x)**2), Ne(b, 0)), (zoo*x, True))","A",0
179,1,34,0,3.589312," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)**n,x)","\begin{cases} \tilde{\infty} x & \text{for}\: b = 0 \wedge n = -1 \\0^{n} x & \text{for}\: b = 0 \\\frac{\log{\left(C\left(b x\right) \right)}}{b} & \text{for}\: n = -1 \\\frac{C\left(b x\right) C^{n}\left(b x\right)}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(b, 0) & Eq(n, -1)), (0**n*x, Eq(b, 0)), (log(fresnelc(b*x))/b, Eq(n, -1)), (fresnelc(b*x)*fresnelc(b*x)**n/(b*n + b), True))","A",0
180,-1,0,0,0.000000," ","integrate(x**8*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,0,0,0,0.000000," ","integrate(x**7*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x^{7} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**7*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
182,0,0,0,0.000000," ","integrate(x**6*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x^{6} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**6*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
183,0,0,0,0.000000," ","integrate(x**5*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x^{5} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**5*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
184,1,151,0,18.869793," ","integrate(x**4*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\begin{cases} \frac{x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi b^{2}} - \frac{x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{2} b^{3}} - \frac{x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} + \frac{3 x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi^{2} b^{4}} - \frac{2 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{3} b^{5}} - \frac{3 C^{2}\left(b x\right)}{2 \pi^{2} b^{5}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sin(pi*b**2*x**2/2)*fresnelc(b*x)/(pi*b**2) - x**2*sin(pi*b**2*x**2/2)**2/(pi**2*b**3) - x**2*cos(pi*b**2*x**2/2)**2/(2*pi**2*b**3) + 3*x*cos(pi*b**2*x**2/2)*fresnelc(b*x)/(pi**2*b**4) - 2*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(pi**3*b**5) - 3*fresnelc(b*x)**2/(2*pi**2*b**5), Ne(b, 0)), (0, True))","A",0
185,0,0,0,0.000000," ","integrate(x**3*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x^{3} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**3*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
186,0,0,0,0.000000," ","integrate(x**2*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x^{2} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**2*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
187,0,0,0,0.000000," ","integrate(x*cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\int x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x*cos(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
188,1,10,0,0.376501," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x),x)","\begin{cases} \frac{C^{2}\left(b x\right)}{2 b} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((fresnelc(b*x)**2/(2*b), Ne(b, 0)), (0, True))","A",0
189,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x, x)","F",0
190,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**2,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**2, x)","F",0
191,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**3,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**3, x)","F",0
192,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**4,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**4, x)","F",0
193,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**5,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**5, x)","F",0
194,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**6,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**6, x)","F",0
195,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**7,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**7, x)","F",0
196,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**8,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**8, x)","F",0
197,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**9,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**9, x)","F",0
198,0,0,0,0.000000," ","integrate(cos(1/2*b**2*pi*x**2)*fresnelc(b*x)/x**10,x)","\int \frac{\cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(cos(pi*b**2*x**2/2)*fresnelc(b*x)/x**10, x)","F",0
199,0,0,0,0.000000," ","integrate(fresnelc(b*x)**n*sin(1/2*b**2*pi*x**2),x)","\int \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C^{n}\left(b x\right)\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)**n, x)","F",0
200,0,0,0,0.000000," ","integrate(x**8*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{8} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**8*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
201,0,0,0,0.000000," ","integrate(x**7*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{7} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**7*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
202,1,264,0,77.906587," ","integrate(x**6*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\begin{cases} \frac{x^{6} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{12 \pi b} + \frac{x^{6} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{12 \pi b} - \frac{x^{5} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi b^{2}} + \frac{x^{4} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} + \frac{5 x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi^{2} b^{4}} - \frac{11 x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{3} b^{5}} - \frac{2 x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{3} b^{5}} + \frac{15 x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi^{3} b^{6}} - \frac{11 \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{\pi^{4} b^{7}} - \frac{15 C^{2}\left(b x\right)}{2 \pi^{3} b^{7}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*sin(pi*b**2*x**2/2)**2/(12*pi*b) + x**6*cos(pi*b**2*x**2/2)**2/(12*pi*b) - x**5*cos(pi*b**2*x**2/2)*fresnelc(b*x)/(pi*b**2) + x**4*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(2*pi**2*b**3) + 5*x**3*sin(pi*b**2*x**2/2)*fresnelc(b*x)/(pi**2*b**4) - 11*x**2*sin(pi*b**2*x**2/2)**2/(2*pi**3*b**5) - 2*x**2*cos(pi*b**2*x**2/2)**2/(pi**3*b**5) + 15*x*cos(pi*b**2*x**2/2)*fresnelc(b*x)/(pi**3*b**6) - 11*sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(pi**4*b**7) - 15*fresnelc(b*x)**2/(2*pi**3*b**7), Ne(b, 0)), (0, True))","A",0
203,0,0,0,0.000000," ","integrate(x**5*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{5} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**5*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
204,0,0,0,0.000000," ","integrate(x**4*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{4} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**4*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
205,0,0,0,0.000000," ","integrate(x**3*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x^{3} \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x**3*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
206,1,114,0,3.020822," ","integrate(x**2*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\begin{cases} \frac{x^{2} \sin^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{4 \pi b} + \frac{x^{2} \cos^{2}{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{4 \pi b} - \frac{x \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{\pi b^{2}} + \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} \cos{\left(\frac{\pi b^{2} x^{2}}{2} \right)}}{2 \pi^{2} b^{3}} + \frac{C^{2}\left(b x\right)}{2 \pi b^{3}} & \text{for}\: b \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*sin(pi*b**2*x**2/2)**2/(4*pi*b) + x**2*cos(pi*b**2*x**2/2)**2/(4*pi*b) - x*cos(pi*b**2*x**2/2)*fresnelc(b*x)/(pi*b**2) + sin(pi*b**2*x**2/2)*cos(pi*b**2*x**2/2)/(2*pi**2*b**3) + fresnelc(b*x)**2/(2*pi*b**3), Ne(b, 0)), (0, True))","A",0
207,0,0,0,0.000000," ","integrate(x*fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int x \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(x*sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
208,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2),x)","\int \sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x), x)","F",0
209,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x, x)","F",0
210,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**2,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{2}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**2, x)","F",0
211,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**3,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{3}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**3, x)","F",0
212,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**4,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{4}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**4, x)","F",0
213,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**5,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{5}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**5, x)","F",0
214,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**6,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{6}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**6, x)","F",0
215,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**7,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{7}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**7, x)","F",0
216,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**8,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{8}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**8, x)","F",0
217,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**9,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{9}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**9, x)","F",0
218,0,0,0,0.000000," ","integrate(fresnelc(b*x)*sin(1/2*b**2*pi*x**2)/x**10,x)","\int \frac{\sin{\left(\frac{\pi b^{2} x^{2}}{2} \right)} C\left(b x\right)}{x^{10}}\, dx"," ",0,"Integral(sin(pi*b**2*x**2/2)*fresnelc(b*x)/x**10, x)","F",0
