1,1,1556,0,3.799092," ","integrate(x^2*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{{\left({\left({\left(\left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x^{3} + {\left({\left({\left(\left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x^{2} + {\left(b c^{2} {\left(-8 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + 8 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 8 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(\left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x + {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}{32 \, c^{4} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"-1/32*(((((8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(32*I + 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (32*I - 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*cos(-1/4*(b^2 - 4*a*c)/c) + (((8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((32*I - 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (32*I + 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*sin(-1/4*(b^2 - 4*a*c)/c))*x^3 + ((((12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(48*I + 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (48*I - 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(-1/4*(b^2 - 4*a*c)/c) + (((12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((48*I - 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (48*I + 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(-1/4*(b^2 - 4*a*c)/c))*x^2 + (b*c^2*(-8*I*e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 8*I*e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/4*(b^2 - 4*a*c)/c) + 8*b*c^2*(e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/4*(b^2 - 4*a*c)/c))*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2) + ((((6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(24*I + 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (24*I - 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(-1/4*(b^2 - 4*a*c)/c) + (((6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((24*I - 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (24*I + 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(-1/4*(b^2 - 4*a*c)/c))*x + (((I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(4*I + 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (4*I - 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(-1/4*(b^2 - 4*a*c)/c) + (((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((4*I - 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (4*I + 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(-1/4*(b^2 - 4*a*c)/c))/(c^4*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2))","C",0
2,1,578,0,2.652479," ","integrate(x*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{{\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x + {\left(c {\left(-4 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + 4 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 4 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}}{16 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}}"," ",0,"1/16*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/4*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/4*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/4*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/4*(b^2 - 4*a*c)/c))*x + (c*(-4*I*e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 4*I*e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/4*(b^2 - 4*a*c)/c) + 4*c*(e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/4*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))","C",0
3,1,112,0,0.695166," ","integrate(cos(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{-i \, c}}\right)\right)}}{8 \, \sqrt{c}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(I*c)) + ((I + 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(-I*c)))/sqrt(c)","C",0
4,0,0,0,0.000000," ","integrate(cos(c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int \frac{\cos\left(c x^{2} + b x + a\right)}{x}\,{d x}"," ",0,"integrate(cos(c*x^2 + b*x + a)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(cos(c*x^2+b*x+a)/x^2+b*sin(c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int \frac{b \sin\left(c x^{2} + b x + a\right)}{x} + \frac{\cos\left(c x^{2} + b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(b*sin(c*x^2 + b*x + a)/x + cos(c*x^2 + b*x + a)/x^2, x)","F",0
6,1,1556,0,4.553632," ","integrate(x^2*cos(-c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{{\left({\left({\left(\left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(-\left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} x^{3} + {\left({\left({\left(-\left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(\left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} x^{2} + {\left(b c^{2} {\left(8 i \, e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} - 8 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + 8 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(\left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(-\left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} x + {\left({\left(-\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}{32 \, c^{4} \left(\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"-1/32*(((((8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(32*I + 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (32*I - 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*c^4)*cos(1/4*(b^2 + 4*a*c)/c) + ((-(8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(32*I - 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (32*I + 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*c^4)*sin(1/4*(b^2 + 4*a*c)/c))*x^3 + (((-(12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((48*I + 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (48*I - 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(1/4*(b^2 + 4*a*c)/c) + (((12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((48*I - 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (48*I + 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(1/4*(b^2 + 4*a*c)/c))*x^2 + (b*c^2*(8*I*e^(1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - 8*I*e^(-1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*cos(1/4*(b^2 + 4*a*c)/c) + 8*b*c^2*(e^(1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*sin(1/4*(b^2 + 4*a*c)/c))*((4*c^2*x^2 - 4*b*c*x + b^2)/c)^(3/2) + ((((6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(24*I + 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (24*I - 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(1/4*(b^2 + 4*a*c)/c) + ((-(6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(24*I - 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (24*I + 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(1/4*(b^2 + 4*a*c)/c))*x + ((-(I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((4*I + 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (4*I - 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(1/4*(b^2 + 4*a*c)/c) + (((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((4*I - 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (4*I + 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(1/4*(b^2 + 4*a*c)/c))/(c^4*((4*c^2*x^2 - 4*b*c*x + b^2)/c)^(3/2))","C",0
7,1,578,0,2.500621," ","integrate(x*cos(-c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{{\left(-\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(-\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} x + {\left(c {\left(4 i \, e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} - 4 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + 4 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}}}{16 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}}}"," ",0,"-1/16*((-(I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(1/4*(b^2 + 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(1/4*(b^2 + 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(1/4*(b^2 + 4*a*c)/c) + (-(2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(1/4*(b^2 + 4*a*c)/c))*x + (c*(4*I*e^(1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - 4*I*e^(-1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*cos(1/4*(b^2 + 4*a*c)/c) + 4*c*(e^(1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*sin(1/4*(b^2 + 4*a*c)/c))*sqrt((4*c^2*x^2 - 4*b*c*x + b^2)/c))/(c^2*sqrt((4*c^2*x^2 - 4*b*c*x + b^2)/c))","C",0
8,1,112,0,0.768420," ","integrate(cos(-c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - i \, b}{2 \, \sqrt{i \, c}}\right) + {\left(-\left(i + 1\right) \, \cos\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - i \, b}{2 \, \sqrt{-i \, c}}\right)\right)}}{8 \, \sqrt{c}}"," ",0,"1/8*sqrt(2)*sqrt(pi)*((-(I - 1)*cos(1/4*(b^2 + 4*a*c)/c) + (I + 1)*sin(1/4*(b^2 + 4*a*c)/c))*erf(1/2*(2*I*c*x - I*b)/sqrt(I*c)) + (-(I + 1)*cos(1/4*(b^2 + 4*a*c)/c) + (I - 1)*sin(1/4*(b^2 + 4*a*c)/c))*erf(1/2*(2*I*c*x - I*b)/sqrt(-I*c)))/sqrt(c)","C",0
9,0,0,0,0.000000," ","integrate(cos(-c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int \frac{\cos\left(c x^{2} - b x - a\right)}{x}\,{d x}"," ",0,"integrate(cos(c*x^2 - b*x - a)/x, x)","F",0
10,0,0,0,0.000000," ","integrate(cos(-c*x^2+b*x+a)/x^2+b*sin(-c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int -\frac{b \sin\left(c x^{2} - b x - a\right)}{x} + \frac{\cos\left(c x^{2} - b x - a\right)}{x^{2}}\,{d x}"," ",0,"integrate(-b*sin(c*x^2 - b*x - a)/x + cos(c*x^2 - b*x - a)/x^2, x)","F",0
11,1,159,0,1.757482," ","integrate(x^2*cos(1/4+x+x^2),x, algorithm=""maxima"")","\frac{x {\left(512 i \, e^{\left(i \, x^{2} + i \, x + \frac{1}{4} i\right)} - 512 i \, e^{\left(-i \, x^{2} - i \, x - \frac{1}{4} i\right)}\right)} + \sqrt{4 \, x^{2} + 4 \, x + 1} {\left(-\left(32 i - 32\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{i \, x^{2} + i \, x + \frac{1}{4} i}\right) - 1\right)} + \left(32 i + 32\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-i \, x^{2} - i \, x - \frac{1}{4} i}\right) - 1\right)} + \left(128 i + 128\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, i \, x^{2} + i \, x + \frac{1}{4} i\right) - \left(128 i - 128\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -i \, x^{2} - i \, x - \frac{1}{4} i\right)\right)} + 256 i \, e^{\left(i \, x^{2} + i \, x + \frac{1}{4} i\right)} - 256 i \, e^{\left(-i \, x^{2} - i \, x - \frac{1}{4} i\right)}}{1024 \, {\left(2 \, x + 1\right)}}"," ",0,"1/1024*(x*(512*I*e^(I*x^2 + I*x + 1/4*I) - 512*I*e^(-I*x^2 - I*x - 1/4*I)) + sqrt(4*x^2 + 4*x + 1)*(-(32*I - 32)*sqrt(2)*sqrt(pi)*(erf(sqrt(I*x^2 + I*x + 1/4*I)) - 1) + (32*I + 32)*sqrt(2)*sqrt(pi)*(erf(sqrt(-I*x^2 - I*x - 1/4*I)) - 1) + (128*I + 128)*sqrt(2)*gamma(3/2, I*x^2 + I*x + 1/4*I) - (128*I - 128)*sqrt(2)*gamma(3/2, -I*x^2 - I*x - 1/4*I)) + 256*I*e^(I*x^2 + I*x + 1/4*I) - 256*I*e^(-I*x^2 - I*x - 1/4*I))/(2*x + 1)","C",0
12,1,125,0,1.548889," ","integrate(x*cos(1/4+x+x^2),x, algorithm=""maxima"")","-\frac{x {\left(2048 i \, e^{\left(i \, x^{2} + i \, x + \frac{1}{4} i\right)} - 2048 i \, e^{\left(-i \, x^{2} - i \, x - \frac{1}{4} i\right)}\right)} + \sqrt{4 \, x^{2} + 4 \, x + 1} {\left(-\left(256 i - 256\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{i \, x^{2} + i \, x + \frac{1}{4} i}\right) - 1\right)} + \left(256 i + 256\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-i \, x^{2} - i \, x - \frac{1}{4} i}\right) - 1\right)}\right)} + 1024 i \, e^{\left(i \, x^{2} + i \, x + \frac{1}{4} i\right)} - 1024 i \, e^{\left(-i \, x^{2} - i \, x - \frac{1}{4} i\right)}}{4096 \, {\left(2 \, x + 1\right)}}"," ",0,"-1/4096*(x*(2048*I*e^(I*x^2 + I*x + 1/4*I) - 2048*I*e^(-I*x^2 - I*x - 1/4*I)) + sqrt(4*x^2 + 4*x + 1)*(-(256*I - 256)*sqrt(2)*sqrt(pi)*(erf(sqrt(I*x^2 + I*x + 1/4*I)) - 1) + (256*I + 256)*sqrt(2)*sqrt(pi)*(erf(sqrt(-I*x^2 - I*x - 1/4*I)) - 1)) + 1024*I*e^(I*x^2 + I*x + 1/4*I) - 1024*I*e^(-I*x^2 - I*x - 1/4*I))/(2*x + 1)","C",0
13,1,70,0,0.889529," ","integrate(cos(1/4+x+x^2),x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{\pi} {\left(\left(i - 1\right) \, \sqrt{2} \operatorname{erf}\left(-\frac{1}{2} \, \left(-1\right)^{\frac{3}{4}} {\left(2 i \, x + i\right)}\right) + \left(i - 1\right) \, \sqrt{2} \operatorname{erf}\left(-\left(\frac{1}{4} i - \frac{1}{4}\right) \, \sqrt{2} {\left(2 i \, x + i\right)}\right) - \left(i + 1\right) \, \sqrt{2} \operatorname{erf}\left(-\left(\frac{1}{4} i + \frac{1}{4}\right) \, \sqrt{2} {\left(2 i \, x + i\right)}\right) + \left(i + 1\right) \, \sqrt{2} \operatorname{erf}\left(\frac{2 i \, x + i}{2 \, \sqrt{-i}}\right)\right)}"," ",0,"-1/16*sqrt(pi)*((I - 1)*sqrt(2)*erf(-1/2*(-1)^(3/4)*(2*I*x + I)) + (I - 1)*sqrt(2)*erf(-(1/4*I - 1/4)*sqrt(2)*(2*I*x + I)) - (I + 1)*sqrt(2)*erf(-(1/4*I + 1/4)*sqrt(2)*(2*I*x + I)) + (I + 1)*sqrt(2)*erf(1/2*(2*I*x + I)/sqrt(-I)))","C",0
14,0,0,0,0.000000," ","integrate(cos(1/4+x+x^2)/x,x, algorithm=""maxima"")","\int \frac{\cos\left(x^{2} + x + \frac{1}{4}\right)}{x}\,{d x}"," ",0,"integrate(cos(x^2 + x + 1/4)/x, x)","F",0
15,0,0,0,0.000000," ","integrate(cos(1/4+x+x^2)/x^2,x, algorithm=""maxima"")","\int \frac{\cos\left(x^{2} + x + \frac{1}{4}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(x^2 + x + 1/4)/x^2, x)","F",0
16,1,1603,0,4.251591," ","integrate(x^2*cos(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left({\left({\left(-\left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x^{3} + {\left({\left({\left(-\left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x^{2} + 2 \, \sqrt{2} {\left(16 \, c^{4} x^{3} + b c^{2} {\left(6 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} - 6 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - 6 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(-\left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x + {\left({\left(-\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)}}{384 \, c^{4} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"1/384*sqrt(2)*((((-(24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((48*I + 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (48*I - 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(48*I - 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (48*I + 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*sin(-1/2*(b^2 - 4*a*c)/c))*x^3 + (((-(36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((72*I + 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (72*I - 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(72*I - 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (72*I + 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(-1/2*(b^2 - 4*a*c)/c))*x^2 + 2*sqrt(2)*(16*c^4*x^3 + b*c^2*(6*I*e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - 6*I*e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/2*(b^2 - 4*a*c)/c) - 6*b*c^2*(e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/2*(b^2 - 4*a*c)/c))*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2) + (((-(18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((36*I + 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (36*I - 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(36*I - 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (36*I + 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(-1/2*(b^2 - 4*a*c)/c))*x + ((-(3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((6*I + 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (6*I - 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(6*I - 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (6*I + 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(-1/2*(b^2 - 4*a*c)/c))/(c^4*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2))","C",0
17,1,608,0,2.635374," ","integrate(x*cos(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x + \sqrt{2} {\left(8 \, c^{2} x^{2} + c {\left(-2 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + 2 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + 2 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}\right)}}{64 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}}"," ",0,"1/64*sqrt(2)*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/2*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/2*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/2*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/2*(b^2 - 4*a*c)/c))*x + sqrt(2)*(8*c^2*x^2 + c*(-2*I*e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 2*I*e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/2*(b^2 - 4*a*c)/c) + 2*c*(e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/2*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))","C",0
18,1,124,0,1.347036," ","integrate(cos(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{2 i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{-2 i \, c}}\right)\right)} c^{\frac{3}{2}} - 16 \, c^{2} x}{32 \, c^{2}}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(2*I*c)) + ((I + 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(-2*I*c)))*c^(3/2) - 16*c^2*x)/c^2","C",0
19,0,0,0,0.000000," ","integrate(cos(c*x^2+b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \int \frac{\cos\left(2 \, c x^{2} + 2 \, b x + 2 \, a\right)}{x}\,{d x} + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*integrate(cos(2*c*x^2 + 2*b*x + 2*a)/x, x) + 1/2*log(x)","F",0
20,1,1603,0,5.431799," ","integrate(x^2*cos(-c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left({\left({\left(-\left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(\left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} x^{3} + {\left({\left({\left(\left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} x^{2} + 2 \, \sqrt{2} {\left(16 \, c^{4} x^{3} + b c^{2} {\left(-6 i \, e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + 6 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - 6 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(-\left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(\left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} x + {\left({\left(\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)}}{384 \, c^{4} \left(\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"1/384*sqrt(2)*((((-(24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((48*I + 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (48*I - 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*c^4)*cos(1/2*(b^2 + 4*a*c)/c) + (((24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((48*I - 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (48*I + 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*c^4)*sin(1/2*(b^2 + 4*a*c)/c))*x^3 + ((((36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(72*I + 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (72*I - 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(1/2*(b^2 + 4*a*c)/c) + ((-(36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(72*I - 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (72*I + 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(1/2*(b^2 + 4*a*c)/c))*x^2 + 2*sqrt(2)*(16*c^4*x^3 + b*c^2*(-6*I*e^(1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + 6*I*e^(-1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*cos(1/2*(b^2 + 4*a*c)/c) - 6*b*c^2*(e^(1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*sin(1/2*(b^2 + 4*a*c)/c))*((4*c^2*x^2 - 4*b*c*x + b^2)/c)^(3/2) + (((-(18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((36*I + 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (36*I - 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(1/2*(b^2 + 4*a*c)/c) + (((18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((36*I - 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) - (36*I + 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(1/2*(b^2 + 4*a*c)/c))*x + (((3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(6*I + 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (6*I - 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(1/2*(b^2 + 4*a*c)/c) + ((-(3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(6*I - 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + (6*I + 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(1/2*(b^2 + 4*a*c)/c))/(c^4*((4*c^2*x^2 - 4*b*c*x + b^2)/c)^(3/2))","C",0
21,1,608,0,2.608632," ","integrate(x*cos(-c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(-\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} x + \sqrt{2} {\left(8 \, c^{2} x^{2} + c {\left(-2 i \, e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + 2 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - 2 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} - 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}}\right)}}{64 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2}}{c}}}"," ",0,"1/64*sqrt(2)*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(1/2*(b^2 + 4*a*c)/c) + (-(I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(1/2*(b^2 + 4*a*c)/c) + ((-(2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) + (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(1/2*(b^2 + 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(1/2*(b^2 + 4*a*c)/c))*x + sqrt(2)*(8*c^2*x^2 + c*(-2*I*e^(1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + 2*I*e^(-1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*cos(1/2*(b^2 + 4*a*c)/c) - 2*c*(e^(1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 - 4*I*b*c*x + I*b^2)/c))*sin(1/2*(b^2 + 4*a*c)/c))*sqrt((4*c^2*x^2 - 4*b*c*x + b^2)/c))/(c^2*sqrt((4*c^2*x^2 - 4*b*c*x + b^2)/c))","C",0
22,1,124,0,1.159944," ","integrate(cos(-c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + \left(i + 1\right) \, \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - i \, b}{\sqrt{2 i \, c}}\right) + {\left(-\left(i + 1\right) \, \cos\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + \left(i - 1\right) \, \sin\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - i \, b}{\sqrt{-2 i \, c}}\right)\right)} c^{\frac{3}{2}} + 16 \, c^{2} x}{32 \, c^{2}}"," ",0,"1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*((-(I - 1)*cos(1/2*(b^2 + 4*a*c)/c) + (I + 1)*sin(1/2*(b^2 + 4*a*c)/c))*erf((2*I*c*x - I*b)/sqrt(2*I*c)) + (-(I + 1)*cos(1/2*(b^2 + 4*a*c)/c) + (I - 1)*sin(1/2*(b^2 + 4*a*c)/c))*erf((2*I*c*x - I*b)/sqrt(-2*I*c)))*c^(3/2) + 16*c^2*x)/c^2","C",0
23,0,0,0,0.000000," ","integrate(cos(-c*x^2+b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \int \frac{\cos\left(2 \, c x^{2} - 2 \, b x - 2 \, a\right)}{x}\,{d x} + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*integrate(cos(2*c*x^2 - 2*b*x - 2*a)/x, x) + 1/2*log(x)","F",0
24,1,169,0,1.757823," ","integrate(x^2*cos(1/4+x+x^2)^2,x, algorithm=""maxima"")","\frac{8192 \, x^{4} + 4096 \, x^{3} + x {\left(3072 i \, e^{\left(2 i \, x^{2} + 2 i \, x + \frac{1}{2} i\right)} - 3072 i \, e^{\left(-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i\right)}\right)} + \sqrt{8 \, x^{2} + 8 \, x + 2} {\left(-\left(192 i - 192\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{2 i \, x^{2} + 2 i \, x + \frac{1}{2} i}\right) - 1\right)} + \left(192 i + 192\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i}\right) - 1\right)} + \left(384 i + 384\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, 2 i \, x^{2} + 2 i \, x + \frac{1}{2} i\right) - \left(384 i - 384\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -2 i \, x^{2} - 2 i \, x - \frac{1}{2} i\right)\right)} + 1536 i \, e^{\left(2 i \, x^{2} + 2 i \, x + \frac{1}{2} i\right)} - 1536 i \, e^{\left(-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i\right)}}{24576 \, {\left(2 \, x + 1\right)}}"," ",0,"1/24576*(8192*x^4 + 4096*x^3 + x*(3072*I*e^(2*I*x^2 + 2*I*x + 1/2*I) - 3072*I*e^(-2*I*x^2 - 2*I*x - 1/2*I)) + sqrt(8*x^2 + 8*x + 2)*(-(192*I - 192)*sqrt(2)*sqrt(pi)*(erf(sqrt(2*I*x^2 + 2*I*x + 1/2*I)) - 1) + (192*I + 192)*sqrt(2)*sqrt(pi)*(erf(sqrt(-2*I*x^2 - 2*I*x - 1/2*I)) - 1) + (384*I + 384)*sqrt(2)*gamma(3/2, 2*I*x^2 + 2*I*x + 1/2*I) - (384*I - 384)*sqrt(2)*gamma(3/2, -2*I*x^2 - 2*I*x - 1/2*I)) + 1536*I*e^(2*I*x^2 + 2*I*x + 1/2*I) - 1536*I*e^(-2*I*x^2 - 2*I*x - 1/2*I))/(2*x + 1)","C",0
25,1,137,0,1.572121," ","integrate(x*cos(1/4+x+x^2)^2,x, algorithm=""maxima"")","\frac{65536 \, x^{3} + 32768 \, x^{2} - x {\left(16384 i \, e^{\left(2 i \, x^{2} + 2 i \, x + \frac{1}{2} i\right)} - 16384 i \, e^{\left(-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i\right)}\right)} - \sqrt{8 \, x^{2} + 8 \, x + 2} {\left(-\left(2048 i - 2048\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{2 i \, x^{2} + 2 i \, x + \frac{1}{2} i}\right) - 1\right)} + \left(2048 i + 2048\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i}\right) - 1\right)}\right)} - 8192 i \, e^{\left(2 i \, x^{2} + 2 i \, x + \frac{1}{2} i\right)} + 8192 i \, e^{\left(-2 i \, x^{2} - 2 i \, x - \frac{1}{2} i\right)}}{131072 \, {\left(2 \, x + 1\right)}}"," ",0,"1/131072*(65536*x^3 + 32768*x^2 - x*(16384*I*e^(2*I*x^2 + 2*I*x + 1/2*I) - 16384*I*e^(-2*I*x^2 - 2*I*x - 1/2*I)) - sqrt(8*x^2 + 8*x + 2)*(-(2048*I - 2048)*sqrt(2)*sqrt(pi)*(erf(sqrt(2*I*x^2 + 2*I*x + 1/2*I)) - 1) + (2048*I + 2048)*sqrt(2)*sqrt(pi)*(erf(sqrt(-2*I*x^2 - 2*I*x - 1/2*I)) - 1)) - 8192*I*e^(2*I*x^2 + 2*I*x + 1/2*I) + 8192*I*e^(-2*I*x^2 - 2*I*x - 1/2*I))/(2*x + 1)","C",0
26,1,34,0,1.280066," ","integrate(cos(1/4+x+x^2)^2,x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{\pi} {\left(\left(i - 1\right) \, \operatorname{erf}\left(\frac{2 i \, x + i}{\sqrt{2 i}}\right) + \left(i + 1\right) \, \operatorname{erf}\left(\frac{2 i \, x + i}{\sqrt{-2 i}}\right)\right)} + \frac{1}{2} \, x"," ",0,"-1/16*sqrt(pi)*((I - 1)*erf((2*I*x + I)/sqrt(2*I)) + (I + 1)*erf((2*I*x + I)/sqrt(-2*I))) + 1/2*x","C",0
27,0,0,0,0.000000," ","integrate(cos(1/4+x+x^2)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \int \frac{\cos\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)}{x}\,{d x} + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*integrate(cos(2*x^2 + 2*x + 1/2)/x, x) + 1/2*log(x)","F",0
28,0,0,0,0.000000," ","integrate(cos(1/4+x+x^2)^2/x^2,x, algorithm=""maxima"")","\frac{x \int \frac{\cos\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)}{x^{2}}\,{d x} - 1}{2 \, x}"," ",0,"1/2*(x*integrate(cos(2*x^2 + 2*x + 1/2)/x^2, x) - 1)/x","F",0
29,1,2255,0,6.330703," ","integrate((e*x+d)^2*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{-i \, c}}\right)\right)} d^{2}}{8 \, \sqrt{c}} + \frac{{\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x + {\left(c {\left(-4 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + 4 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 4 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}\right)} d e}{8 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}} - \frac{{\left({\left({\left({\left(\left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(8 i + 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(8 i - 8\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(32 i - 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(32 i + 32\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} c^{4}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x^{3} + {\left({\left({\left(\left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(12 i + 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(12 i - 12\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b c^{3}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x^{2} + {\left(b c^{2} {\left(-8 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + 8 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 8 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(\left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(6 i + 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(6 i - 6\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(24 i - 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(24 i + 24\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x + {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) + \left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(4 i - 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right) - \left(4 i + 4\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)\right)} b^{3} c\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} e^{2}}{32 \, c^{4} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(I*c)) + ((I + 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(-I*c)))*d^2/sqrt(c) + 1/8*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/4*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/4*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/4*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/4*(b^2 - 4*a*c)/c))*x + (c*(-4*I*e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 4*I*e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/4*(b^2 - 4*a*c)/c) + 4*c*(e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/4*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))*d*e/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c)) - 1/32*(((((8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(32*I + 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (32*I - 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*cos(-1/4*(b^2 - 4*a*c)/c) + (((8*I + 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (8*I - 8)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((32*I - 32)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (32*I + 32)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*sin(-1/4*(b^2 - 4*a*c)/c))*x^3 + ((((12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(48*I + 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (48*I - 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(-1/4*(b^2 - 4*a*c)/c) + (((12*I + 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (12*I - 12)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((48*I - 48)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (48*I + 48)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(-1/4*(b^2 - 4*a*c)/c))*x^2 + (b*c^2*(-8*I*e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 8*I*e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/4*(b^2 - 4*a*c)/c) + 8*b*c^2*(e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/4*(b^2 - 4*a*c)/c))*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2) + ((((6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(24*I + 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (24*I - 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(-1/4*(b^2 - 4*a*c)/c) + (((6*I + 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (6*I - 6)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((24*I - 24)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (24*I + 24)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(-1/4*(b^2 - 4*a*c)/c))*x + (((I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(4*I + 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (4*I - 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(-1/4*(b^2 - 4*a*c)/c) + (((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((4*I - 4)*sqrt(2)*gamma(3/2, 1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (4*I + 4)*sqrt(2)*gamma(3/2, -1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(-1/4*(b^2 - 4*a*c)/c))*e^2/(c^4*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2))","C",0
30,1,693,0,2.775712," ","integrate((e*x+d)*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{2 \, \sqrt{-i \, c}}\right)\right)} d}{8 \, \sqrt{c}} + \frac{{\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} x + {\left(c {\left(-4 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + 4 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + 4 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{4 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}\right)} e}{16 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(I*c)) + ((I + 1)*cos(-1/4*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*I*c*x + I*b)/sqrt(-I*c)))*d/sqrt(c) + 1/16*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/4*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/4*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/4*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(1/2*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/4*(b^2 - 4*a*c)/c))*x + (c*(-4*I*e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 4*I*e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/4*(b^2 - 4*a*c)/c) + 4*c*(e^(1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/4*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/4*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))*e/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))","C",0
31,0,0,0,0.000000," ","integrate(cos(c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\cos\left(c x^{2} + b x + a\right)}{e x + d}\,{d x}"," ",0,"integrate(cos(c*x^2 + b*x + a)/(e*x + d), x)","F",0
32,1,2344,0,7.831326," ","integrate((e*x+d)^2*cos(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{{\left(4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{2 i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{-2 i \, c}}\right)\right)} c^{\frac{3}{2}} - 16 \, c^{2} x\right)} d^{2}}{32 \, c^{2}} + \frac{\sqrt{2} {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x + \sqrt{2} {\left(8 \, c^{2} x^{2} + c {\left(-2 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + 2 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + 2 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}\right)} d e}{32 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}} + \frac{\sqrt{2} {\left({\left({\left({\left(-\left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(\left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(24 i + 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(24 i - 24\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} c^{3} + {\left(-\left(48 i - 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(48 i + 48\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} c^{4}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x^{3} + {\left({\left({\left(-\left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(\left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(36 i + 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(36 i - 36\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{3} c^{2} + {\left(-\left(72 i - 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(72 i + 72\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b c^{3}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x^{2} + 2 \, \sqrt{2} {\left(16 \, c^{4} x^{3} + b c^{2} {\left(6 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} - 6 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - 6 \, b c^{2} {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}} + {\left({\left({\left(-\left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(\left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(18 i + 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(18 i - 18\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{4} c + {\left(-\left(36 i - 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(36 i + 36\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{2} c^{2}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x + {\left({\left(-\left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(\left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) - \left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(-\left(3 i + 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} + \left(3 i - 3\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{5} + {\left(-\left(6 i - 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, \frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right) + \left(6 i + 6\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)\right)} b^{3} c\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} e^{2}}{384 \, c^{4} \left(\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}\right)^{\frac{3}{2}}}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(2*I*c)) + ((I + 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(-2*I*c)))*c^(3/2) - 16*c^2*x)*d^2/c^2 + 1/32*sqrt(2)*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/2*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/2*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/2*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/2*(b^2 - 4*a*c)/c))*x + sqrt(2)*(8*c^2*x^2 + c*(-2*I*e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 2*I*e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/2*(b^2 - 4*a*c)/c) + 2*c*(e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/2*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))*d*e/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c)) + 1/384*sqrt(2)*((((-(24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + ((48*I + 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (48*I - 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(24*I + 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (24*I - 24)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*c^3 + (-(48*I - 48)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (48*I + 48)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*c^4)*sin(-1/2*(b^2 - 4*a*c)/c))*x^3 + (((-(36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + ((72*I + 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (72*I - 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(36*I + 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (36*I - 36)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^3*c^2 + (-(72*I - 72)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (72*I + 72)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b*c^3)*sin(-1/2*(b^2 - 4*a*c)/c))*x^2 + 2*sqrt(2)*(16*c^4*x^3 + b*c^2*(6*I*e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - 6*I*e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/2*(b^2 - 4*a*c)/c) - 6*b*c^2*(e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/2*(b^2 - 4*a*c)/c))*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2) + (((-(18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + ((36*I + 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (36*I - 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(18*I + 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (18*I - 18)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^4*c + (-(36*I - 36)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (36*I + 36)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^2*c^2)*sin(-1/2*(b^2 - 4*a*c)/c))*x + ((-(3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + ((6*I + 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) - (6*I - 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*cos(-1/2*(b^2 - 4*a*c)/c) + ((-(3*I + 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) + (3*I - 3)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^5 + (-(6*I - 6)*sqrt(2)*gamma(3/2, 1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + (6*I + 6)*sqrt(2)*gamma(3/2, -1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*b^3*c)*sin(-1/2*(b^2 - 4*a*c)/c))*e^2/(c^4*((4*c^2*x^2 + 4*b*c*x + b^2)/c)^(3/2))","C",0
33,1,735,0,1.686740," ","integrate((e*x+d)*cos(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{{\left(4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{2 i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + i \, b}{\sqrt{-2 i \, c}}\right)\right)} c^{\frac{3}{2}} - 16 \, c^{2} x\right)} d}{32 \, c^{2}} + \frac{\sqrt{2} {\left({\left(\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b^{2} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(\left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(\left(2 i + 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)} - \left(2 i - 2\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{1}{2}} \sqrt{-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{c}}\right) - 1\right)}\right)} b c \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} x + \sqrt{2} {\left(8 \, c^{2} x^{2} + c {\left(-2 i \, e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + 2 i \, e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \cos\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + 2 \, c {\left(e^{\left(\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)} + e^{\left(-\frac{4 i \, c^{2} x^{2} + 4 i \, b c x + i \, b^{2}}{2 \, c}\right)}\right)} \sin\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}\right)} e}{64 \, c^{2} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2}}{c}}}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I + 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(2*I*c)) + ((I + 1)*cos(-1/2*(b^2 - 4*a*c)/c) + (I - 1)*sin(-1/2*(b^2 - 4*a*c)/c))*erf((2*I*c*x + I*b)/sqrt(-2*I*c)))*c^(3/2) - 16*c^2*x)*d/c^2 + 1/64*sqrt(2)*(((I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*cos(-1/2*(b^2 - 4*a*c)/c) + ((I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b^2*sin(-1/2*(b^2 - 4*a*c)/c) + (((2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*cos(-1/2*(b^2 - 4*a*c)/c) + ((2*I + 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt((4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1) - (2*I - 2)*sqrt(2)*sqrt(pi)*(erf(sqrt(1/2)*sqrt(-(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c)) - 1))*b*c*sin(-1/2*(b^2 - 4*a*c)/c))*x + sqrt(2)*(8*c^2*x^2 + c*(-2*I*e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + 2*I*e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*cos(-1/2*(b^2 - 4*a*c)/c) + 2*c*(e^(1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c) + e^(-1/2*(4*I*c^2*x^2 + 4*I*b*c*x + I*b^2)/c))*sin(-1/2*(b^2 - 4*a*c)/c))*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))*e/(c^2*sqrt((4*c^2*x^2 + 4*b*c*x + b^2)/c))","C",0
34,0,0,0,0.000000," ","integrate(cos(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""maxima"")","-\frac{-\frac{1}{2} \, e \int \frac{\cos\left(2 \, c x^{2} + 2 \, b x\right) \cos\left(2 \, a\right) - \sin\left(2 \, c x^{2} + 2 \, b x\right) \sin\left(2 \, a\right)}{{\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} e x + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} d}\,{d x} - \frac{1}{2} \, e \int \frac{\cos\left(2 \, c x^{2} + 2 \, b x + 2 \, a\right)}{e x + d}\,{d x} - \log\left(e x + d\right)}{2 \, e}"," ",0,"-1/2*(2*e*integrate(-1/4*(cos(2*c*x^2 + 2*b*x)*cos(2*a) - sin(2*c*x^2 + 2*b*x)*sin(2*a))/((cos(2*a)^2 + sin(2*a)^2)*e*x + (cos(2*a)^2 + sin(2*a)^2)*d), x) - 2*e*integrate(1/4*cos(2*c*x^2 + 2*b*x + 2*a)/(e*x + d), x) - log(e*x + d))/e","F",0
