1,1,27,0,1.110840," ","integrate(x^3*cos(b*x^2+a),x, algorithm=""maxima"")","\frac{b x^{2} \sin\left(b x^{2} + a\right) + \cos\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2*sin(b*x^2 + a) + cos(b*x^2 + a))/b^2","A",0
2,1,67,0,2.053136," ","integrate(x^2*cos(b*x^2+a),x, algorithm=""maxima"")","\frac{8 \, b^{2} x \sin\left(b x^{2} + a\right) + \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, \cos\left(a\right) + \left(i - 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x\right) + {\left(\left(i - 1\right) \, \cos\left(a\right) - \left(i + 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x\right)\right)} b^{\frac{3}{2}}}{16 \, b^{3}}"," ",0,"1/16*(8*b^2*x*sin(b*x^2 + a) + sqrt(2)*sqrt(pi)*((-(I + 1)*cos(a) + (I - 1)*sin(a))*erf(sqrt(I*b)*x) + ((I - 1)*cos(a) - (I + 1)*sin(a))*erf(sqrt(-I*b)*x))*b^(3/2))/b^3","C",0
3,1,13,0,0.428417," ","integrate(x*cos(b*x^2+a),x, algorithm=""maxima"")","\frac{\sin\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*sin(b*x^2 + a)/b","A",0
4,1,48,0,0.806182," ","integrate(cos(b*x^2+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(a\right) + \left(i + 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x\right) + {\left(-\left(i + 1\right) \, \cos\left(a\right) - \left(i - 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x\right)\right)}}{8 \, \sqrt{b}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*cos(a) + (I + 1)*sin(a))*erf(sqrt(I*b)*x) + (-(I + 1)*cos(a) - (I - 1)*sin(a))*erf(sqrt(-I*b)*x))/sqrt(b)","C",0
5,1,43,0,1.142015," ","integrate(cos(b*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left({\rm Ei}\left(i \, b x^{2}\right) + {\rm Ei}\left(-i \, b x^{2}\right)\right)} \cos\left(a\right) + \frac{1}{4} \, {\left(i \, {\rm Ei}\left(i \, b x^{2}\right) - i \, {\rm Ei}\left(-i \, b x^{2}\right)\right)} \sin\left(a\right)"," ",0,"1/4*(Ei(I*b*x^2) + Ei(-I*b*x^2))*cos(a) + 1/4*(I*Ei(I*b*x^2) - I*Ei(-I*b*x^2))*sin(a)","C",0
6,1,73,0,1.577448," ","integrate(cos(b*x^2+a)/x^2,x, algorithm=""maxima"")","\frac{\sqrt{b x^{2}} {\left({\left(-\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, i \, b x^{2}\right) + \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -i \, b x^{2}\right)\right)} \cos\left(a\right) + {\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, i \, b x^{2}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -i \, b x^{2}\right)\right)} \sin\left(a\right)\right)}}{8 \, x}"," ",0,"1/8*sqrt(b*x^2)*((-(I + 1)*sqrt(2)*gamma(-1/2, I*b*x^2) + (I - 1)*sqrt(2)*gamma(-1/2, -I*b*x^2))*cos(a) + ((I - 1)*sqrt(2)*gamma(-1/2, I*b*x^2) - (I + 1)*sqrt(2)*gamma(-1/2, -I*b*x^2))*sin(a))/x","C",0
7,1,48,0,1.074641," ","integrate(cos(b*x^2+a)/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left({\left(i \, \Gamma\left(-1, i \, b x^{2}\right) - i \, \Gamma\left(-1, -i \, b x^{2}\right)\right)} \cos\left(a\right) + {\left(\Gamma\left(-1, i \, b x^{2}\right) + \Gamma\left(-1, -i \, b x^{2}\right)\right)} \sin\left(a\right)\right)} b"," ",0,"-1/4*((I*gamma(-1, I*b*x^2) - I*gamma(-1, -I*b*x^2))*cos(a) + (gamma(-1, I*b*x^2) + gamma(-1, -I*b*x^2))*sin(a))*b","C",0
8,1,42,0,0.897758," ","integrate(x^3*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2 \, b^{2} x^{4} + 2 \, b x^{2} \sin\left(2 \, b x^{2} + 2 \, a\right) + \cos\left(2 \, b x^{2} + 2 \, a\right)}{16 \, b^{2}}"," ",0,"1/16*(2*b^2*x^4 + 2*b*x^2*sin(2*b*x^2 + 2*a) + cos(2*b*x^2 + 2*a))/b^2","A",0
9,1,89,0,1.225534," ","integrate(x^2*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{64 \, b^{3} x^{3} + 48 \, b^{2} x \sin\left(2 \, b x^{2} + 2 \, a\right) + 4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(3 i + 3\right) \, \cos\left(2 \, a\right) + \left(3 i - 3\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2 i \, b} x\right) + {\left(\left(3 i - 3\right) \, \cos\left(2 \, a\right) - \left(3 i + 3\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-2 i \, b} x\right)\right)} b^{\frac{3}{2}}}{384 \, b^{3}}"," ",0,"1/384*(64*b^3*x^3 + 48*b^2*x*sin(2*b*x^2 + 2*a) + 4^(1/4)*sqrt(2)*sqrt(pi)*((-(3*I + 3)*cos(2*a) + (3*I - 3)*sin(2*a))*erf(sqrt(2*I*b)*x) + ((3*I - 3)*cos(2*a) - (3*I + 3)*sin(2*a))*erf(sqrt(-2*I*b)*x))*b^(3/2))/b^3","C",0
10,1,23,0,0.590868," ","integrate(x*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2 \, b x^{2} + \sin\left(2 \, b x^{2} + 2 \, a\right)}{8 \, b}"," ",0,"1/8*(2*b*x^2 + sin(2*b*x^2 + 2*a))/b","A",0
11,1,70,0,1.454817," ","integrate(cos(b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(2 \, a\right) + \left(i + 1\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2 i \, b} x\right) + {\left(-\left(i + 1\right) \, \cos\left(2 \, a\right) - \left(i - 1\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-2 i \, b} x\right)\right)} b^{\frac{3}{2}} - 16 \, b^{2} x}{32 \, b^{2}}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*cos(2*a) + (I + 1)*sin(2*a))*erf(sqrt(2*I*b)*x) + (-(I + 1)*cos(2*a) - (I - 1)*sin(2*a))*erf(sqrt(-2*I*b)*x))*b^(3/2) - 16*b^2*x)/b^2","C",0
12,1,51,0,1.306114," ","integrate(cos(b*x^2+a)^2/x,x, algorithm=""maxima"")","\frac{1}{8} \, {\left({\rm Ei}\left(2 i \, b x^{2}\right) + {\rm Ei}\left(-2 i \, b x^{2}\right)\right)} \cos\left(2 \, a\right) + \frac{1}{8} \, {\left(i \, {\rm Ei}\left(2 i \, b x^{2}\right) - i \, {\rm Ei}\left(-2 i \, b x^{2}\right)\right)} \sin\left(2 \, a\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/8*(Ei(2*I*b*x^2) + Ei(-2*I*b*x^2))*cos(2*a) + 1/8*(I*Ei(2*I*b*x^2) - I*Ei(-2*I*b*x^2))*sin(2*a) + 1/2*log(x)","C",0
13,1,83,0,1.543638," ","integrate(cos(b*x^2+a)^2/x^2,x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{b x^{2}} {\left({\left(-\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, 2 i \, b x^{2}\right) + \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -2 i \, b x^{2}\right)\right)} \cos\left(2 \, a\right) + {\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, 2 i \, b x^{2}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -2 i \, b x^{2}\right)\right)} \sin\left(2 \, a\right)\right)} - 8}{16 \, x}"," ",0,"1/16*(sqrt(2)*sqrt(b*x^2)*((-(I + 1)*sqrt(2)*gamma(-1/2, 2*I*b*x^2) + (I - 1)*sqrt(2)*gamma(-1/2, -2*I*b*x^2))*cos(2*a) + ((I - 1)*sqrt(2)*gamma(-1/2, 2*I*b*x^2) - (I + 1)*sqrt(2)*gamma(-1/2, -2*I*b*x^2))*sin(2*a)) - 8)/x","C",0
14,1,61,0,1.738347," ","integrate(cos(b*x^2+a)^2/x^3,x, algorithm=""maxima"")","-\frac{{\left({\left(i \, \Gamma\left(-1, 2 i \, b x^{2}\right) - i \, \Gamma\left(-1, -2 i \, b x^{2}\right)\right)} \cos\left(2 \, a\right) + {\left(\Gamma\left(-1, 2 i \, b x^{2}\right) + \Gamma\left(-1, -2 i \, b x^{2}\right)\right)} \sin\left(2 \, a\right)\right)} b x^{2} + 1}{4 \, x^{2}}"," ",0,"-1/4*(((I*gamma(-1, 2*I*b*x^2) - I*gamma(-1, -2*I*b*x^2))*cos(2*a) + (gamma(-1, 2*I*b*x^2) + gamma(-1, -2*I*b*x^2))*sin(2*a))*b*x^2 + 1)/x^2","C",0
15,1,58,0,1.047000," ","integrate(x^3*cos(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, b x^{2} \sin\left(3 \, b x^{2} + 3 \, a\right) + 27 \, b x^{2} \sin\left(b x^{2} + a\right) + \cos\left(3 \, b x^{2} + 3 \, a\right) + 27 \, \cos\left(b x^{2} + a\right)}{72 \, b^{2}}"," ",0,"1/72*(3*b*x^2*sin(3*b*x^2 + 3*a) + 27*b*x^2*sin(b*x^2 + a) + cos(3*b*x^2 + 3*a) + 27*cos(b*x^2 + a))/b^2","A",0
16,1,143,0,0.963168," ","integrate(x^2*cos(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{72 \, b^{2} x \sin\left(3 \, b x^{2} + 3 \, a\right) + 648 \, b^{2} x \sin\left(b x^{2} + a\right) + 3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, \cos\left(3 \, a\right) + \left(i - 1\right) \, \sin\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{3 i \, b} x\right) + {\left(\left(i - 1\right) \, \cos\left(3 \, a\right) - \left(i + 1\right) \, \sin\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-3 i \, b} x\right)\right)} b^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(-\left(81 i + 81\right) \, \cos\left(a\right) + \left(81 i - 81\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x\right) + {\left(\left(81 i - 81\right) \, \cos\left(a\right) - \left(81 i + 81\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x\right)\right)} b^{\frac{3}{2}}}{1728 \, b^{3}}"," ",0,"1/1728*(72*b^2*x*sin(3*b*x^2 + 3*a) + 648*b^2*x*sin(b*x^2 + a) + 3*9^(1/4)*sqrt(2)*sqrt(pi)*((-(I + 1)*cos(3*a) + (I - 1)*sin(3*a))*erf(sqrt(3*I*b)*x) + ((I - 1)*cos(3*a) - (I + 1)*sin(3*a))*erf(sqrt(-3*I*b)*x))*b^(3/2) + sqrt(2)*sqrt(pi)*((-(81*I + 81)*cos(a) + (81*I - 81)*sin(a))*erf(sqrt(I*b)*x) + ((81*I - 81)*cos(a) - (81*I + 81)*sin(a))*erf(sqrt(-I*b)*x))*b^(3/2))/b^3","C",0
17,1,27,0,0.473071," ","integrate(x*cos(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{\sin\left(3 \, b x^{2} + 3 \, a\right) + 9 \, \sin\left(b x^{2} + a\right)}{24 \, b}"," ",0,"1/24*(sin(3*b*x^2 + 3*a) + 9*sin(b*x^2 + a))/b","A",0
18,1,112,0,1.292484," ","integrate(cos(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(3 \, a\right) + \left(i + 1\right) \, \sin\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{3 i \, b} x\right) + {\left(-\left(i + 1\right) \, \cos\left(3 \, a\right) - \left(i - 1\right) \, \sin\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-3 i \, b} x\right)\right)} b^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(\left(27 i - 27\right) \, \cos\left(a\right) + \left(27 i + 27\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x\right) + {\left(-\left(27 i + 27\right) \, \cos\left(a\right) - \left(27 i - 27\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x\right)\right)} b^{\frac{3}{2}}}{288 \, b^{2}}"," ",0,"-1/288*(3*9^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*cos(3*a) + (I + 1)*sin(3*a))*erf(sqrt(3*I*b)*x) + (-(I + 1)*cos(3*a) - (I - 1)*sin(3*a))*erf(sqrt(-3*I*b)*x))*b^(3/2) + sqrt(2)*sqrt(pi)*(((27*I - 27)*cos(a) + (27*I + 27)*sin(a))*erf(sqrt(I*b)*x) + (-(27*I + 27)*cos(a) - (27*I - 27)*sin(a))*erf(sqrt(-I*b)*x))*b^(3/2))/b^2","C",0
19,1,89,0,1.508655," ","integrate(cos(b*x^2+a)^3/x,x, algorithm=""maxima"")","\frac{1}{16} \, {\left({\rm Ei}\left(3 i \, b x^{2}\right) + {\rm Ei}\left(-3 i \, b x^{2}\right)\right)} \cos\left(3 \, a\right) + \frac{3}{16} \, {\left({\rm Ei}\left(i \, b x^{2}\right) + {\rm Ei}\left(-i \, b x^{2}\right)\right)} \cos\left(a\right) + \frac{1}{16} \, {\left(i \, {\rm Ei}\left(3 i \, b x^{2}\right) - i \, {\rm Ei}\left(-3 i \, b x^{2}\right)\right)} \sin\left(3 \, a\right) + \frac{1}{16} \, {\left(3 i \, {\rm Ei}\left(i \, b x^{2}\right) - 3 i \, {\rm Ei}\left(-i \, b x^{2}\right)\right)} \sin\left(a\right)"," ",0,"1/16*(Ei(3*I*b*x^2) + Ei(-3*I*b*x^2))*cos(3*a) + 3/16*(Ei(I*b*x^2) + Ei(-I*b*x^2))*cos(a) + 1/16*(I*Ei(3*I*b*x^2) - I*Ei(-3*I*b*x^2))*sin(3*a) + 1/16*(3*I*Ei(I*b*x^2) - 3*I*Ei(-I*b*x^2))*sin(a)","C",0
20,1,151,0,3.088166," ","integrate(cos(b*x^2+a)^3/x^2,x, algorithm=""maxima"")","\frac{\sqrt{3} \sqrt{b x^{2}} {\left({\left(-\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, 3 i \, b x^{2}\right) + \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -3 i \, b x^{2}\right)\right)} \cos\left(3 \, a\right) + {\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, 3 i \, b x^{2}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -3 i \, b x^{2}\right)\right)} \sin\left(3 \, a\right)\right)} + \sqrt{b x^{2}} {\left({\left(-\left(3 i + 3\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, i \, b x^{2}\right) + \left(3 i - 3\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -i \, b x^{2}\right)\right)} \cos\left(a\right) + {\left(\left(3 i - 3\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, i \, b x^{2}\right) - \left(3 i + 3\right) \, \sqrt{2} \Gamma\left(-\frac{1}{2}, -i \, b x^{2}\right)\right)} \sin\left(a\right)\right)}}{32 \, x}"," ",0,"1/32*(sqrt(3)*sqrt(b*x^2)*((-(I + 1)*sqrt(2)*gamma(-1/2, 3*I*b*x^2) + (I - 1)*sqrt(2)*gamma(-1/2, -3*I*b*x^2))*cos(3*a) + ((I - 1)*sqrt(2)*gamma(-1/2, 3*I*b*x^2) - (I + 1)*sqrt(2)*gamma(-1/2, -3*I*b*x^2))*sin(3*a)) + sqrt(b*x^2)*((-(3*I + 3)*sqrt(2)*gamma(-1/2, I*b*x^2) + (3*I - 3)*sqrt(2)*gamma(-1/2, -I*b*x^2))*cos(a) + ((3*I - 3)*sqrt(2)*gamma(-1/2, I*b*x^2) - (3*I + 3)*sqrt(2)*gamma(-1/2, -I*b*x^2))*sin(a)))/x","C",0
21,1,98,0,1.061495," ","integrate(cos(b*x^2+a)^3/x^3,x, algorithm=""maxima"")","-\frac{1}{16} \, {\left({\left(3 i \, \Gamma\left(-1, 3 i \, b x^{2}\right) - 3 i \, \Gamma\left(-1, -3 i \, b x^{2}\right)\right)} \cos\left(3 \, a\right) + {\left(3 i \, \Gamma\left(-1, i \, b x^{2}\right) - 3 i \, \Gamma\left(-1, -i \, b x^{2}\right)\right)} \cos\left(a\right) + 3 \, {\left(\Gamma\left(-1, 3 i \, b x^{2}\right) + \Gamma\left(-1, -3 i \, b x^{2}\right)\right)} \sin\left(3 \, a\right) + 3 \, {\left(\Gamma\left(-1, i \, b x^{2}\right) + \Gamma\left(-1, -i \, b x^{2}\right)\right)} \sin\left(a\right)\right)} b"," ",0,"-1/16*((3*I*gamma(-1, 3*I*b*x^2) - 3*I*gamma(-1, -3*I*b*x^2))*cos(3*a) + (3*I*gamma(-1, I*b*x^2) - 3*I*gamma(-1, -I*b*x^2))*cos(a) + 3*(gamma(-1, 3*I*b*x^2) + gamma(-1, -3*I*b*x^2))*sin(3*a) + 3*(gamma(-1, I*b*x^2) + gamma(-1, -I*b*x^2))*sin(a))*b","C",0
22,1,55,0,1.098128," ","integrate(x*cos(b*x^2+a)^7,x, algorithm=""maxima"")","\frac{5 \, \sin\left(7 \, b x^{2} + 7 \, a\right) + 49 \, \sin\left(5 \, b x^{2} + 5 \, a\right) + 245 \, \sin\left(3 \, b x^{2} + 3 \, a\right) + 1225 \, \sin\left(b x^{2} + a\right)}{4480 \, b}"," ",0,"1/4480*(5*sin(7*b*x^2 + 7*a) + 49*sin(5*b*x^2 + 5*a) + 245*sin(3*b*x^2 + 3*a) + 1225*sin(b*x^2 + a))/b","A",0
23,1,156,0,2.188112," ","integrate(x^(5/2)*cos(b*x^2+a),x, algorithm=""maxima"")","\frac{16 \, b x^{2} \sin\left(b x^{2} + a\right) + \left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(3 \, \sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)} - \sqrt{-\sqrt{2} + 2} {\left(-3 i \, \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + 3 i \, \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) + {\left(3 \, \sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)} - \sqrt{\sqrt{2} + 2} {\left(3 i \, \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) - 3 i \, \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)}}{32 \, b^{2} \sqrt{x}}"," ",0,"1/32*(16*b*x^2*sin(b*x^2 + a) + (b*x^2)^(1/4)*((3*sqrt(sqrt(2) + 2)*(gamma(3/4, I*b*x^2) + gamma(3/4, -I*b*x^2)) - sqrt(-sqrt(2) + 2)*(-3*I*gamma(3/4, I*b*x^2) + 3*I*gamma(3/4, -I*b*x^2)))*cos(a) + (3*sqrt(-sqrt(2) + 2)*(gamma(3/4, I*b*x^2) + gamma(3/4, -I*b*x^2)) - sqrt(sqrt(2) + 2)*(3*I*gamma(3/4, I*b*x^2) - 3*I*gamma(3/4, -I*b*x^2)))*sin(a)))/(b^2*sqrt(x))","B",0
24,1,158,0,1.335424," ","integrate(x^(3/2)*cos(b*x^2+a),x, algorithm=""maxima"")","\frac{16 \, \left(b x^{2}\right)^{\frac{1}{4}} \sqrt{x} \sin\left(b x^{2} + a\right) + {\left({\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) - i \, \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) + {\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(-i \, \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + i \, \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)} \sqrt{x}}{32 \, \left(b x^{2}\right)^{\frac{1}{4}} b}"," ",0,"1/32*(16*(b*x^2)^(1/4)*sqrt(x)*sin(b*x^2 + a) + ((sqrt(-sqrt(2) + 2)*(gamma(1/4, I*b*x^2) + gamma(1/4, -I*b*x^2)) + sqrt(sqrt(2) + 2)*(I*gamma(1/4, I*b*x^2) - I*gamma(1/4, -I*b*x^2)))*cos(a) + (sqrt(sqrt(2) + 2)*(gamma(1/4, I*b*x^2) + gamma(1/4, -I*b*x^2)) + sqrt(-sqrt(2) + 2)*(-I*gamma(1/4, I*b*x^2) + I*gamma(1/4, -I*b*x^2)))*sin(a))*sqrt(x))/((b*x^2)^(1/4)*b)","B",0
25,1,138,0,1.159414," ","integrate(x^(1/2)*cos(b*x^2+a),x, algorithm=""maxima"")","-\frac{\left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)} - \sqrt{\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) - i \, \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) - {\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{3}{4}, i \, b x^{2}\right) - i \, \Gamma\left(\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)}}{8 \, b \sqrt{x}}"," ",0,"-1/8*(b*x^2)^(1/4)*((sqrt(-sqrt(2) + 2)*(gamma(3/4, I*b*x^2) + gamma(3/4, -I*b*x^2)) - sqrt(sqrt(2) + 2)*(I*gamma(3/4, I*b*x^2) - I*gamma(3/4, -I*b*x^2)))*cos(a) - (sqrt(sqrt(2) + 2)*(gamma(3/4, I*b*x^2) + gamma(3/4, -I*b*x^2)) + sqrt(-sqrt(2) + 2)*(I*gamma(3/4, I*b*x^2) - I*gamma(3/4, -I*b*x^2)))*sin(a))/(b*sqrt(x))","B",0
26,1,135,0,2.842625," ","integrate(cos(b*x^2+a)/x^(1/2),x, algorithm=""maxima"")","-\frac{{\left({\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)} - \sqrt{-\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) - i \, \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) - {\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{1}{4}, i \, b x^{2}\right) - i \, \Gamma\left(\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)} \sqrt{x}}{8 \, \left(b x^{2}\right)^{\frac{1}{4}}}"," ",0,"-1/8*((sqrt(sqrt(2) + 2)*(gamma(1/4, I*b*x^2) + gamma(1/4, -I*b*x^2)) - sqrt(-sqrt(2) + 2)*(I*gamma(1/4, I*b*x^2) - I*gamma(1/4, -I*b*x^2)))*cos(a) - (sqrt(-sqrt(2) + 2)*(gamma(1/4, I*b*x^2) + gamma(1/4, -I*b*x^2)) + sqrt(sqrt(2) + 2)*(I*gamma(1/4, I*b*x^2) - I*gamma(1/4, -I*b*x^2)))*sin(a))*sqrt(x)/(b*x^2)^(1/4)","B",0
27,1,133,0,1.335653," ","integrate(cos(b*x^2+a)/x^(3/2),x, algorithm=""maxima"")","-\frac{\left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(-\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(-\frac{1}{4}, -i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(i \, \Gamma\left(-\frac{1}{4}, i \, b x^{2}\right) - i \, \Gamma\left(-\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) + {\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(-\frac{1}{4}, i \, b x^{2}\right) + \Gamma\left(-\frac{1}{4}, -i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(-i \, \Gamma\left(-\frac{1}{4}, i \, b x^{2}\right) + i \, \Gamma\left(-\frac{1}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)}}{8 \, \sqrt{x}}"," ",0,"-1/8*(b*x^2)^(1/4)*((sqrt(sqrt(2) + 2)*(gamma(-1/4, I*b*x^2) + gamma(-1/4, -I*b*x^2)) + sqrt(-sqrt(2) + 2)*(I*gamma(-1/4, I*b*x^2) - I*gamma(-1/4, -I*b*x^2)))*cos(a) + (sqrt(-sqrt(2) + 2)*(gamma(-1/4, I*b*x^2) + gamma(-1/4, -I*b*x^2)) + sqrt(sqrt(2) + 2)*(-I*gamma(-1/4, I*b*x^2) + I*gamma(-1/4, -I*b*x^2)))*sin(a))/sqrt(x)","B",0
28,1,133,0,1.802241," ","integrate(cos(b*x^2+a)/x^(5/2),x, algorithm=""maxima"")","-\frac{\left(b x^{2}\right)^{\frac{3}{4}} {\left({\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(-\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(-\frac{3}{4}, -i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(i \, \Gamma\left(-\frac{3}{4}, i \, b x^{2}\right) - i \, \Gamma\left(-\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \cos\left(a\right) + {\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(-\frac{3}{4}, i \, b x^{2}\right) + \Gamma\left(-\frac{3}{4}, -i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(-i \, \Gamma\left(-\frac{3}{4}, i \, b x^{2}\right) + i \, \Gamma\left(-\frac{3}{4}, -i \, b x^{2}\right)\right)}\right)} \sin\left(a\right)\right)}}{8 \, x^{\frac{3}{2}}}"," ",0,"-1/8*(b*x^2)^(3/4)*((sqrt(-sqrt(2) + 2)*(gamma(-3/4, I*b*x^2) + gamma(-3/4, -I*b*x^2)) + sqrt(sqrt(2) + 2)*(I*gamma(-3/4, I*b*x^2) - I*gamma(-3/4, -I*b*x^2)))*cos(a) + (sqrt(sqrt(2) + 2)*(gamma(-3/4, I*b*x^2) + gamma(-3/4, -I*b*x^2)) + sqrt(-sqrt(2) + 2)*(-I*gamma(-3/4, I*b*x^2) + I*gamma(-3/4, -I*b*x^2)))*sin(a))/x^(3/2)","B",0
29,1,174,0,1.753387," ","integrate(x^(5/2)*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{256 \, b^{2} x^{4} + 224 \, b x^{2} \sin\left(2 \, b x^{2} + 2 \, a\right) + 2^{\frac{1}{4}} \left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(21 \, \sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)} - \sqrt{-\sqrt{2} + 2} {\left(-21 i \, \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + 21 i \, \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) + {\left(21 \, \sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)} - \sqrt{\sqrt{2} + 2} {\left(21 i \, \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) - 21 i \, \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)}}{1792 \, b^{2} \sqrt{x}}"," ",0,"1/1792*(256*b^2*x^4 + 224*b*x^2*sin(2*b*x^2 + 2*a) + 2^(1/4)*(b*x^2)^(1/4)*((21*sqrt(sqrt(2) + 2)*(gamma(3/4, 2*I*b*x^2) + gamma(3/4, -2*I*b*x^2)) - sqrt(-sqrt(2) + 2)*(-21*I*gamma(3/4, 2*I*b*x^2) + 21*I*gamma(3/4, -2*I*b*x^2)))*cos(2*a) + (21*sqrt(-sqrt(2) + 2)*(gamma(3/4, 2*I*b*x^2) + gamma(3/4, -2*I*b*x^2)) - sqrt(sqrt(2) + 2)*(21*I*gamma(3/4, 2*I*b*x^2) - 21*I*gamma(3/4, -2*I*b*x^2)))*sin(2*a)))/(b^2*sqrt(x))","A",0
30,1,182,0,1.970639," ","integrate(x^(3/2)*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{2^{\frac{3}{4}} {\left(16 \cdot 2^{\frac{1}{4}} {\left(8 \, b x^{\frac{5}{2}} + 5 \, \sqrt{x} \sin\left(2 \, b x^{2} + 2 \, a\right)\right)} \left(b x^{2}\right)^{\frac{1}{4}} + {\left({\left(5 \, \sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(5 i \, \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) - 5 i \, \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) + {\left(5 \, \sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(-5 i \, \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + 5 i \, \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)} \sqrt{x}\right)}}{1280 \, \left(b x^{2}\right)^{\frac{1}{4}} b}"," ",0,"1/1280*2^(3/4)*(16*2^(1/4)*(8*b*x^(5/2) + 5*sqrt(x)*sin(2*b*x^2 + 2*a))*(b*x^2)^(1/4) + ((5*sqrt(-sqrt(2) + 2)*(gamma(1/4, 2*I*b*x^2) + gamma(1/4, -2*I*b*x^2)) + sqrt(sqrt(2) + 2)*(5*I*gamma(1/4, 2*I*b*x^2) - 5*I*gamma(1/4, -2*I*b*x^2)))*cos(2*a) + (5*sqrt(sqrt(2) + 2)*(gamma(1/4, 2*I*b*x^2) + gamma(1/4, -2*I*b*x^2)) + sqrt(-sqrt(2) + 2)*(-5*I*gamma(1/4, 2*I*b*x^2) + 5*I*gamma(1/4, -2*I*b*x^2)))*sin(2*a))*sqrt(x))/((b*x^2)^(1/4)*b)","B",0
31,1,156,0,2.597694," ","integrate(x^(1/2)*cos(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{32 \, b x^{2} - 2^{\frac{1}{4}} \left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(3 \, \sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)} - \sqrt{\sqrt{2} + 2} {\left(3 i \, \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) - 3 i \, \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) - {\left(3 \, \sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(3 i \, \Gamma\left(\frac{3}{4}, 2 i \, b x^{2}\right) - 3 i \, \Gamma\left(\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)}}{96 \, b \sqrt{x}}"," ",0,"1/96*(32*b*x^2 - 2^(1/4)*(b*x^2)^(1/4)*((3*sqrt(-sqrt(2) + 2)*(gamma(3/4, 2*I*b*x^2) + gamma(3/4, -2*I*b*x^2)) - sqrt(sqrt(2) + 2)*(3*I*gamma(3/4, 2*I*b*x^2) - 3*I*gamma(3/4, -2*I*b*x^2)))*cos(2*a) - (3*sqrt(sqrt(2) + 2)*(gamma(3/4, 2*I*b*x^2) + gamma(3/4, -2*I*b*x^2)) + sqrt(-sqrt(2) + 2)*(3*I*gamma(3/4, 2*I*b*x^2) - 3*I*gamma(3/4, -2*I*b*x^2)))*sin(2*a)))/(b*sqrt(x))","B",0
32,1,159,0,2.446953," ","integrate(cos(b*x^2+a)^2/x^(1/2),x, algorithm=""maxima"")","-\frac{2^{\frac{3}{4}} {\left({\left({\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)} - \sqrt{-\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) - i \, \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) - {\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(i \, \Gamma\left(\frac{1}{4}, 2 i \, b x^{2}\right) - i \, \Gamma\left(\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)} \sqrt{x} - 16 \cdot 2^{\frac{1}{4}} \left(b x^{2}\right)^{\frac{1}{4}} \sqrt{x}\right)}}{32 \, \left(b x^{2}\right)^{\frac{1}{4}}}"," ",0,"-1/32*2^(3/4)*(((sqrt(sqrt(2) + 2)*(gamma(1/4, 2*I*b*x^2) + gamma(1/4, -2*I*b*x^2)) - sqrt(-sqrt(2) + 2)*(I*gamma(1/4, 2*I*b*x^2) - I*gamma(1/4, -2*I*b*x^2)))*cos(2*a) - (sqrt(-sqrt(2) + 2)*(gamma(1/4, 2*I*b*x^2) + gamma(1/4, -2*I*b*x^2)) + sqrt(sqrt(2) + 2)*(I*gamma(1/4, 2*I*b*x^2) - I*gamma(1/4, -2*I*b*x^2)))*sin(2*a))*sqrt(x) - 16*2^(1/4)*(b*x^2)^(1/4)*sqrt(x))/(b*x^2)^(1/4)","B",0
33,1,143,0,1.869086," ","integrate(cos(b*x^2+a)^2/x^(3/2),x, algorithm=""maxima"")","-\frac{2^{\frac{1}{4}} \left(b x^{2}\right)^{\frac{1}{4}} {\left({\left(\sqrt{\sqrt{2} + 2} {\left(\Gamma\left(-\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(-\frac{1}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(i \, \Gamma\left(-\frac{1}{4}, 2 i \, b x^{2}\right) - i \, \Gamma\left(-\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) + {\left(\sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(-\frac{1}{4}, 2 i \, b x^{2}\right) + \Gamma\left(-\frac{1}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(-i \, \Gamma\left(-\frac{1}{4}, 2 i \, b x^{2}\right) + i \, \Gamma\left(-\frac{1}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)} + 16}{16 \, \sqrt{x}}"," ",0,"-1/16*(2^(1/4)*(b*x^2)^(1/4)*((sqrt(sqrt(2) + 2)*(gamma(-1/4, 2*I*b*x^2) + gamma(-1/4, -2*I*b*x^2)) + sqrt(-sqrt(2) + 2)*(I*gamma(-1/4, 2*I*b*x^2) - I*gamma(-1/4, -2*I*b*x^2)))*cos(2*a) + (sqrt(-sqrt(2) + 2)*(gamma(-1/4, 2*I*b*x^2) + gamma(-1/4, -2*I*b*x^2)) + sqrt(sqrt(2) + 2)*(-I*gamma(-1/4, 2*I*b*x^2) + I*gamma(-1/4, -2*I*b*x^2)))*sin(2*a)) + 16)/sqrt(x)","A",0
34,1,145,0,0.910242," ","integrate(cos(b*x^2+a)^2/x^(5/2),x, algorithm=""maxima"")","-\frac{2^{\frac{3}{4}} \left(b x^{2}\right)^{\frac{3}{4}} {\left({\left(3 \, \sqrt{-\sqrt{2} + 2} {\left(\Gamma\left(-\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(-\frac{3}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{\sqrt{2} + 2} {\left(3 i \, \Gamma\left(-\frac{3}{4}, 2 i \, b x^{2}\right) - 3 i \, \Gamma\left(-\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \cos\left(2 \, a\right) + {\left(3 \, \sqrt{\sqrt{2} + 2} {\left(\Gamma\left(-\frac{3}{4}, 2 i \, b x^{2}\right) + \Gamma\left(-\frac{3}{4}, -2 i \, b x^{2}\right)\right)} + \sqrt{-\sqrt{2} + 2} {\left(-3 i \, \Gamma\left(-\frac{3}{4}, 2 i \, b x^{2}\right) + 3 i \, \Gamma\left(-\frac{3}{4}, -2 i \, b x^{2}\right)\right)}\right)} \sin\left(2 \, a\right)\right)} + 16}{48 \, x^{\frac{3}{2}}}"," ",0,"-1/48*(2^(3/4)*(b*x^2)^(3/4)*((3*sqrt(-sqrt(2) + 2)*(gamma(-3/4, 2*I*b*x^2) + gamma(-3/4, -2*I*b*x^2)) + sqrt(sqrt(2) + 2)*(3*I*gamma(-3/4, 2*I*b*x^2) - 3*I*gamma(-3/4, -2*I*b*x^2)))*cos(2*a) + (3*sqrt(sqrt(2) + 2)*(gamma(-3/4, 2*I*b*x^2) + gamma(-3/4, -2*I*b*x^2)) + sqrt(-sqrt(2) + 2)*(-3*I*gamma(-3/4, 2*I*b*x^2) + 3*I*gamma(-3/4, -2*I*b*x^2)))*sin(2*a)) + 16)/x^(3/2)","A",0
35,1,57,0,1.901959," ","integrate(cos(a+b/x),x, algorithm=""maxima"")","\frac{1}{2} \, {\left({\left(-i \, {\rm Ei}\left(\frac{i \, b}{x}\right) + i \, {\rm Ei}\left(-\frac{i \, b}{x}\right)\right)} \cos\left(a\right) + {\left({\rm Ei}\left(\frac{i \, b}{x}\right) + {\rm Ei}\left(-\frac{i \, b}{x}\right)\right)} \sin\left(a\right)\right)} b + x \cos\left(\frac{a x + b}{x}\right)"," ",0,"1/2*((-I*Ei(I*b/x) + I*Ei(-I*b/x))*cos(a) + (Ei(I*b/x) + Ei(-I*b/x))*sin(a))*b + x*cos((a*x + b)/x)","C",0
36,1,43,0,2.009545," ","integrate(cos(a+b/x)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left({\rm Ei}\left(\frac{i \, b}{x}\right) + {\rm Ei}\left(-\frac{i \, b}{x}\right)\right)} \cos\left(a\right) - \frac{1}{2} \, {\left(i \, {\rm Ei}\left(\frac{i \, b}{x}\right) - i \, {\rm Ei}\left(-\frac{i \, b}{x}\right)\right)} \sin\left(a\right)"," ",0,"-1/2*(Ei(I*b/x) + Ei(-I*b/x))*cos(a) - 1/2*(I*Ei(I*b/x) - I*Ei(-I*b/x))*sin(a)","C",0
37,1,13,0,1.999858," ","integrate(cos(a+b/x)/x^2,x, algorithm=""maxima"")","-\frac{\sin\left(a + \frac{b}{x}\right)}{b}"," ",0,"-sin(a + b/x)/b","A",0
38,1,51,0,1.694777," ","integrate(cos(a+b/x)/x^3,x, algorithm=""maxima"")","-\frac{{\left(\Gamma\left(2, \frac{i \, b}{x}\right) + \Gamma\left(2, -\frac{i \, b}{x}\right)\right)} \cos\left(a\right) - {\left(i \, \Gamma\left(2, \frac{i \, b}{x}\right) - i \, \Gamma\left(2, -\frac{i \, b}{x}\right)\right)} \sin\left(a\right)}{2 \, b^{2}}"," ",0,"-1/2*((gamma(2, I*b/x) + gamma(2, -I*b/x))*cos(a) - (I*gamma(2, I*b/x) - I*gamma(2, -I*b/x))*sin(a))/b^2","C",0
39,1,50,0,1.226941," ","integrate(cos(a+b/x)/x^4,x, algorithm=""maxima"")","\frac{{\left(i \, \Gamma\left(3, \frac{i \, b}{x}\right) - i \, \Gamma\left(3, -\frac{i \, b}{x}\right)\right)} \cos\left(a\right) + {\left(\Gamma\left(3, \frac{i \, b}{x}\right) + \Gamma\left(3, -\frac{i \, b}{x}\right)\right)} \sin\left(a\right)}{2 \, b^{3}}"," ",0,"1/2*((I*gamma(3, I*b/x) - I*gamma(3, -I*b/x))*cos(a) + (gamma(3, I*b/x) + gamma(3, -I*b/x))*sin(a))/b^3","C",0
40,1,127,0,2.371254," ","integrate(cos(a+b/x^2),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(2 \, \sqrt{2} b x^{2} \sqrt{\frac{1}{x^{4}}} \cos\left(\frac{a x^{2} + b}{x^{2}}\right) + {\left({\left(\left(i + 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{i \, b}{x^{2}}}\right) - 1\right)} - \left(i - 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-\frac{i \, b}{x^{2}}}\right) - 1\right)}\right)} \cos\left(a\right) + {\left(-\left(i - 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{i \, b}{x^{2}}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-\frac{i \, b}{x^{2}}}\right) - 1\right)}\right)} \sin\left(a\right)\right)} b \left(\frac{b^{2}}{x^{4}}\right)^{\frac{1}{4}}\right)} \sqrt{x^{4}}}{4 \, b x}"," ",0,"1/4*sqrt(2)*(2*sqrt(2)*b*x^2*sqrt(x^(-4))*cos((a*x^2 + b)/x^2) + (((I + 1)*sqrt(pi)*(erf(sqrt(I*b/x^2)) - 1) - (I - 1)*sqrt(pi)*(erf(sqrt(-I*b/x^2)) - 1))*cos(a) + (-(I - 1)*sqrt(pi)*(erf(sqrt(I*b/x^2)) - 1) + (I + 1)*sqrt(pi)*(erf(sqrt(-I*b/x^2)) - 1))*sin(a))*b*(b^2/x^4)^(1/4))*sqrt(x^4)/(b*x)","C",0
41,1,43,0,1.336413," ","integrate(cos(a+b/x^2)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left({\rm Ei}\left(\frac{i \, b}{x^{2}}\right) + {\rm Ei}\left(-\frac{i \, b}{x^{2}}\right)\right)} \cos\left(a\right) - \frac{1}{4} \, {\left(i \, {\rm Ei}\left(\frac{i \, b}{x^{2}}\right) - i \, {\rm Ei}\left(-\frac{i \, b}{x^{2}}\right)\right)} \sin\left(a\right)"," ",0,"-1/4*(Ei(I*b/x^2) + Ei(-I*b/x^2))*cos(a) - 1/4*(I*Ei(I*b/x^2) - I*Ei(-I*b/x^2))*sin(a)","C",0
42,1,98,0,1.241522," ","integrate(cos(a+b/x^2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{x^{4}} {\left({\left(-\left(i - 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{i \, b}{x^{2}}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-\frac{i \, b}{x^{2}}}\right) - 1\right)}\right)} \cos\left(a\right) + {\left(-\left(i + 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{i \, b}{x^{2}}}\right) - 1\right)} + \left(i - 1\right) \, \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-\frac{i \, b}{x^{2}}}\right) - 1\right)}\right)} \sin\left(a\right)\right)} \left(\frac{b^{2}}{x^{4}}\right)^{\frac{1}{4}}}{8 \, b x}"," ",0,"-1/8*sqrt(2)*sqrt(x^4)*((-(I - 1)*sqrt(pi)*(erf(sqrt(I*b/x^2)) - 1) + (I + 1)*sqrt(pi)*(erf(sqrt(-I*b/x^2)) - 1))*cos(a) + (-(I + 1)*sqrt(pi)*(erf(sqrt(I*b/x^2)) - 1) + (I - 1)*sqrt(pi)*(erf(sqrt(-I*b/x^2)) - 1))*sin(a))*(b^2/x^4)^(1/4)/(b*x)","C",0
43,1,13,0,0.664914," ","integrate(cos(a+b/x^2)/x^3,x, algorithm=""maxima"")","-\frac{\sin\left(a + \frac{b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*sin(a + b/x^2)/b","A",0
44,1,74,0,1.287873," ","integrate(cos(a+b/x^2)/x^4,x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(x^{4}\right)}^{\frac{3}{2}} {\left({\left(-\left(i + 1\right) \, \Gamma\left(\frac{3}{2}, \frac{i \, b}{x^{2}}\right) + \left(i - 1\right) \, \Gamma\left(\frac{3}{2}, -\frac{i \, b}{x^{2}}\right)\right)} \cos\left(a\right) + {\left(\left(i - 1\right) \, \Gamma\left(\frac{3}{2}, \frac{i \, b}{x^{2}}\right) - \left(i + 1\right) \, \Gamma\left(\frac{3}{2}, -\frac{i \, b}{x^{2}}\right)\right)} \sin\left(a\right)\right)} \left(\frac{b^{2}}{x^{4}}\right)^{\frac{3}{4}}}{8 \, b^{3} x^{3}}"," ",0,"1/8*sqrt(2)*((-(I + 1)*gamma(3/2, I*b/x^2) + (I - 1)*gamma(3/2, -I*b/x^2))*cos(a) + ((I - 1)*gamma(3/2, I*b/x^2) - (I + 1)*gamma(3/2, -I*b/x^2))*sin(a))*(x^4)^(3/2)*(b^2/x^4)^(3/4)/(b^3*x^3)","C",0
45,1,12,0,0.300283," ","integrate(cos(x^(1/2))^2/x^(1/2),x, algorithm=""maxima"")","\sqrt{x} + \frac{1}{2} \, \sin\left(2 \, \sqrt{x}\right)"," ",0,"sqrt(x) + 1/2*sin(2*sqrt(x))","A",0
46,1,6,0,0.903935," ","integrate(cos(x^(1/2))/x^(1/2),x, algorithm=""maxima"")","2 \, \sin\left(\sqrt{x}\right)"," ",0,"2*sin(sqrt(x))","A",0
47,1,16,0,0.849452," ","integrate(cos(x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
48,1,23,0,0.655539," ","integrate(cos(x^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x} \sin\left(2 \, \sqrt{x}\right) + \frac{1}{2} \, x + \frac{1}{4} \, \cos\left(2 \, \sqrt{x}\right)"," ",0,"1/2*sqrt(x)*sin(2*sqrt(x)) + 1/2*x + 1/4*cos(2*sqrt(x))","A",0
49,1,135,0,0.808053," ","integrate(x^(3/2)*cos(a+b*x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, {\left(\sqrt{2} \sqrt{\pi} {\left({\left(-\left(135135 i + 135135\right) \, \cos\left(a\right) + \left(135135 i - 135135\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x^{\frac{1}{6}}\right) + {\left(\left(135135 i - 135135\right) \, \cos\left(a\right) - \left(135135 i + 135135\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} - 208 \, {\left(16 \, b^{7} x^{\frac{11}{6}} - 396 \, b^{5} x^{\frac{7}{6}} + 3465 \, b^{3} \sqrt{x}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) - 8 \, {\left(64 \, b^{8} x^{\frac{13}{6}} - 2288 \, b^{6} x^{\frac{3}{2}} + 36036 \, b^{4} x^{\frac{5}{6}} - 135135 \, b^{2} x^{\frac{1}{6}}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{512 \, b^{9}}"," ",0,"-3/512*(sqrt(2)*sqrt(pi)*((-(135135*I + 135135)*cos(a) + (135135*I - 135135)*sin(a))*erf(sqrt(I*b)*x^(1/6)) + ((135135*I - 135135)*cos(a) - (135135*I + 135135)*sin(a))*erf(sqrt(-I*b)*x^(1/6)))*b^(3/2) - 208*(16*b^7*x^(11/6) - 396*b^5*x^(7/6) + 3465*b^3*sqrt(x))*cos(b*x^(1/3) + a) - 8*(64*b^8*x^(13/6) - 2288*b^6*x^(3/2) + 36036*b^4*x^(5/6) - 135135*b^2*x^(1/6))*sin(b*x^(1/3) + a))/b^9","C",0
50,1,111,0,1.237559," ","integrate(x^(1/2)*cos(a+b*x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, {\left(\sqrt{2} \sqrt{\pi} {\left({\left(\left(105 i - 105\right) \, \cos\left(a\right) + \left(105 i + 105\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x^{\frac{1}{6}}\right) + {\left(-\left(105 i + 105\right) \, \cos\left(a\right) - \left(105 i - 105\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} - 56 \, {\left(4 \, b^{4} x^{\frac{5}{6}} - 15 \, b^{2} x^{\frac{1}{6}}\right)} \cos\left(b x^{\frac{1}{3}} + a\right) - 16 \, {\left(4 \, b^{5} x^{\frac{7}{6}} - 35 \, b^{3} \sqrt{x}\right)} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{64 \, b^{6}}"," ",0,"-3/64*(sqrt(2)*sqrt(pi)*(((105*I - 105)*cos(a) + (105*I + 105)*sin(a))*erf(sqrt(I*b)*x^(1/6)) + (-(105*I + 105)*cos(a) - (105*I - 105)*sin(a))*erf(sqrt(-I*b)*x^(1/6)))*b^(3/2) - 56*(4*b^4*x^(5/6) - 15*b^2*x^(1/6))*cos(b*x^(1/3) + a) - 16*(4*b^5*x^(7/6) - 35*b^3*sqrt(x))*sin(b*x^(1/3) + a))/b^6","C",0
51,1,73,0,1.026715," ","integrate(cos(a+b*x^(1/3))/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, \cos\left(a\right) + \left(i - 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, b} x^{\frac{1}{6}}\right) + {\left(\left(i - 1\right) \, \cos\left(a\right) - \left(i + 1\right) \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} + 8 \, b^{2} x^{\frac{1}{6}} \sin\left(b x^{\frac{1}{3}} + a\right)\right)}}{8 \, b^{3}}"," ",0,"3/8*(sqrt(2)*sqrt(pi)*((-(I + 1)*cos(a) + (I - 1)*sin(a))*erf(sqrt(I*b)*x^(1/6)) + ((I - 1)*cos(a) - (I + 1)*sin(a))*erf(sqrt(-I*b)*x^(1/6)))*b^(3/2) + 8*b^2*x^(1/6)*sin(b*x^(1/3) + a))/b^3","C",0
52,1,74,0,1.960944," ","integrate(cos(a+b*x^(1/3))/x^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left({\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, i \, b x^{\frac{1}{3}}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(a\right) + {\left(\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, i \, b x^{\frac{1}{3}}\right) - \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b}{4 \, x^{\frac{1}{6}}}"," ",0,"-3/4*(((I - 1)*sqrt(2)*gamma(-3/2, I*b*x^(1/3)) - (I + 1)*sqrt(2)*gamma(-3/2, -I*b*x^(1/3)))*cos(a) + ((I + 1)*sqrt(2)*gamma(-3/2, I*b*x^(1/3)) - (I - 1)*sqrt(2)*gamma(-3/2, -I*b*x^(1/3)))*sin(a))*sqrt(b*x^(1/3))*b/x^(1/6)","C",0
53,1,76,0,1.621950," ","integrate(cos(a+b*x^(1/3))/x^(5/2),x, algorithm=""maxima"")","\frac{3 \, {\left({\left(-\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, i \, b x^{\frac{1}{3}}\right) + \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(a\right) + {\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, i \, b x^{\frac{1}{3}}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b^{4}}{4 \, x^{\frac{1}{6}}}"," ",0,"3/4*((-(I + 1)*sqrt(2)*gamma(-9/2, I*b*x^(1/3)) + (I - 1)*sqrt(2)*gamma(-9/2, -I*b*x^(1/3)))*cos(a) + ((I - 1)*sqrt(2)*gamma(-9/2, I*b*x^(1/3)) - (I + 1)*sqrt(2)*gamma(-9/2, -I*b*x^(1/3)))*sin(a))*sqrt(b*x^(1/3))*b^4/x^(1/6)","C",0
54,1,76,0,1.287776," ","integrate(cos(a+b*x^(1/3))/x^(7/2),x, algorithm=""maxima"")","\frac{3 \, {\left({\left(\left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, i \, b x^{\frac{1}{3}}\right) - \left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(a\right) + {\left(\left(i + 1\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, i \, b x^{\frac{1}{3}}\right) - \left(i - 1\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, -i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b^{7}}{4 \, x^{\frac{1}{6}}}"," ",0,"3/4*(((I - 1)*sqrt(2)*gamma(-15/2, I*b*x^(1/3)) - (I + 1)*sqrt(2)*gamma(-15/2, -I*b*x^(1/3)))*cos(a) + ((I + 1)*sqrt(2)*gamma(-15/2, I*b*x^(1/3)) - (I - 1)*sqrt(2)*gamma(-15/2, -I*b*x^(1/3)))*sin(a))*sqrt(b*x^(1/3))*b^7/x^(1/6)","C",0
55,1,161,0,1.236604," ","integrate(x^(3/2)*cos(a+b*x^(1/3))^2,x, algorithm=""maxima"")","\frac{262144 \, b^{9} x^{\frac{5}{2}} - 4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(2027025 i + 2027025\right) \, \cos\left(2 \, a\right) + \left(2027025 i - 2027025\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2 i \, b} x^{\frac{1}{6}}\right) + {\left(\left(2027025 i - 2027025\right) \, \cos\left(2 \, a\right) - \left(2027025 i + 2027025\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-2 i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} + 12480 \, {\left(256 \, b^{7} x^{\frac{11}{6}} - 1584 \, b^{5} x^{\frac{7}{6}} + 3465 \, b^{3} \sqrt{x}\right)} \cos\left(2 \, b x^{\frac{1}{3}} + 2 \, a\right) + 240 \, {\left(4096 \, b^{8} x^{\frac{13}{6}} - 36608 \, b^{6} x^{\frac{3}{2}} + 144144 \, b^{4} x^{\frac{5}{6}} - 135135 \, b^{2} x^{\frac{1}{6}}\right)} \sin\left(2 \, b x^{\frac{1}{3}} + 2 \, a\right)}{1310720 \, b^{9}}"," ",0,"1/1310720*(262144*b^9*x^(5/2) - 4^(1/4)*sqrt(2)*sqrt(pi)*((-(2027025*I + 2027025)*cos(2*a) + (2027025*I - 2027025)*sin(2*a))*erf(sqrt(2*I*b)*x^(1/6)) + ((2027025*I - 2027025)*cos(2*a) - (2027025*I + 2027025)*sin(2*a))*erf(sqrt(-2*I*b)*x^(1/6)))*b^(3/2) + 12480*(256*b^7*x^(11/6) - 1584*b^5*x^(7/6) + 3465*b^3*sqrt(x))*cos(2*b*x^(1/3) + 2*a) + 240*(4096*b^8*x^(13/6) - 36608*b^6*x^(3/2) + 144144*b^4*x^(5/6) - 135135*b^2*x^(1/6))*sin(2*b*x^(1/3) + 2*a))/b^9","C",0
56,1,137,0,1.236761," ","integrate(x^(1/2)*cos(a+b*x^(1/3))^2,x, algorithm=""maxima"")","\frac{4096 \, b^{6} x^{\frac{3}{2}} - 4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(945 i - 945\right) \, \cos\left(2 \, a\right) + \left(945 i + 945\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2 i \, b} x^{\frac{1}{6}}\right) + {\left(-\left(945 i + 945\right) \, \cos\left(2 \, a\right) - \left(945 i - 945\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-2 i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} + 1008 \, {\left(16 \, b^{4} x^{\frac{5}{6}} - 15 \, b^{2} x^{\frac{1}{6}}\right)} \cos\left(2 \, b x^{\frac{1}{3}} + 2 \, a\right) + 576 \, {\left(16 \, b^{5} x^{\frac{7}{6}} - 35 \, b^{3} \sqrt{x}\right)} \sin\left(2 \, b x^{\frac{1}{3}} + 2 \, a\right)}{12288 \, b^{6}}"," ",0,"1/12288*(4096*b^6*x^(3/2) - 4^(1/4)*sqrt(2)*sqrt(pi)*(((945*I - 945)*cos(2*a) + (945*I + 945)*sin(2*a))*erf(sqrt(2*I*b)*x^(1/6)) + (-(945*I + 945)*cos(2*a) - (945*I - 945)*sin(2*a))*erf(sqrt(-2*I*b)*x^(1/6)))*b^(3/2) + 1008*(16*b^4*x^(5/6) - 15*b^2*x^(1/6))*cos(2*b*x^(1/3) + 2*a) + 576*(16*b^5*x^(7/6) - 35*b^3*sqrt(x))*sin(2*b*x^(1/3) + 2*a))/b^6","C",0
57,1,95,0,1.265883," ","integrate(cos(a+b*x^(1/3))^2/x^(1/2),x, algorithm=""maxima"")","\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(3 i + 3\right) \, \cos\left(2 \, a\right) + \left(3 i - 3\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2 i \, b} x^{\frac{1}{6}}\right) + {\left(\left(3 i - 3\right) \, \cos\left(2 \, a\right) - \left(3 i + 3\right) \, \sin\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{-2 i \, b} x^{\frac{1}{6}}\right)\right)} b^{\frac{3}{2}} + 64 \, b^{3} \sqrt{x} + 48 \, b^{2} x^{\frac{1}{6}} \sin\left(2 \, b x^{\frac{1}{3}} + 2 \, a\right)}{64 \, b^{3}}"," ",0,"1/64*(4^(1/4)*sqrt(2)*sqrt(pi)*((-(3*I + 3)*cos(2*a) + (3*I - 3)*sin(2*a))*erf(sqrt(2*I*b)*x^(1/6)) + ((3*I - 3)*cos(2*a) - (3*I + 3)*sin(2*a))*erf(sqrt(-2*I*b)*x^(1/6)))*b^(3/2) + 64*b^3*sqrt(x) + 48*b^2*x^(1/6)*sin(2*b*x^(1/3) + 2*a))/b^3","C",0
58,1,87,0,1.296652," ","integrate(cos(a+b*x^(1/3))^2/x^(3/2),x, algorithm=""maxima"")","-\frac{\sqrt{2} {\left({\left(\left(3 i - 3\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, 2 i \, b x^{\frac{1}{3}}\right) - \left(3 i + 3\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(2 \, a\right) + {\left(\left(3 i + 3\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, 2 i \, b x^{\frac{1}{3}}\right) - \left(3 i - 3\right) \, \sqrt{2} \Gamma\left(-\frac{3}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(2 \, a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b x^{\frac{1}{3}} + 4}{4 \, \sqrt{x}}"," ",0,"-1/4*(sqrt(2)*(((3*I - 3)*sqrt(2)*gamma(-3/2, 2*I*b*x^(1/3)) - (3*I + 3)*sqrt(2)*gamma(-3/2, -2*I*b*x^(1/3)))*cos(2*a) + ((3*I + 3)*sqrt(2)*gamma(-3/2, 2*I*b*x^(1/3)) - (3*I - 3)*sqrt(2)*gamma(-3/2, -2*I*b*x^(1/3)))*sin(2*a))*sqrt(b*x^(1/3))*b*x^(1/3) + 4)/sqrt(x)","C",0
59,1,89,0,1.714578," ","integrate(cos(a+b*x^(1/3))^2/x^(5/2),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left(-\left(18 i + 18\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, 2 i \, b x^{\frac{1}{3}}\right) + \left(18 i - 18\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(2 \, a\right) + {\left(\left(18 i - 18\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, 2 i \, b x^{\frac{1}{3}}\right) - \left(18 i + 18\right) \, \sqrt{2} \Gamma\left(-\frac{9}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(2 \, a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b^{4} x^{\frac{4}{3}} - 1}{3 \, x^{\frac{3}{2}}}"," ",0,"1/3*(sqrt(2)*((-(18*I + 18)*sqrt(2)*gamma(-9/2, 2*I*b*x^(1/3)) + (18*I - 18)*sqrt(2)*gamma(-9/2, -2*I*b*x^(1/3)))*cos(2*a) + ((18*I - 18)*sqrt(2)*gamma(-9/2, 2*I*b*x^(1/3)) - (18*I + 18)*sqrt(2)*gamma(-9/2, -2*I*b*x^(1/3)))*sin(2*a))*sqrt(b*x^(1/3))*b^4*x^(4/3) - 1)/x^(3/2)","C",0
60,1,89,0,1.828903," ","integrate(cos(a+b*x^(1/3))^2/x^(7/2),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left({\left(\left(240 i - 240\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, 2 i \, b x^{\frac{1}{3}}\right) - \left(240 i + 240\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \cos\left(2 \, a\right) + {\left(\left(240 i + 240\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, 2 i \, b x^{\frac{1}{3}}\right) - \left(240 i - 240\right) \, \sqrt{2} \Gamma\left(-\frac{15}{2}, -2 i \, b x^{\frac{1}{3}}\right)\right)} \sin\left(2 \, a\right)\right)} \sqrt{b x^{\frac{1}{3}}} b^{7} x^{\frac{7}{3}} - 1}{5 \, x^{\frac{5}{2}}}"," ",0,"1/5*(sqrt(2)*(((240*I - 240)*sqrt(2)*gamma(-15/2, 2*I*b*x^(1/3)) - (240*I + 240)*sqrt(2)*gamma(-15/2, -2*I*b*x^(1/3)))*cos(2*a) + ((240*I + 240)*sqrt(2)*gamma(-15/2, 2*I*b*x^(1/3)) - (240*I - 240)*sqrt(2)*gamma(-15/2, -2*I*b*x^(1/3)))*sin(2*a))*sqrt(b*x^(1/3))*b^7*x^(7/3) - 1)/x^(5/2)","C",0
61,1,47,0,0.851428," ","integrate(cos(x^(1/3))^3,x, algorithm=""maxima"")","\frac{1}{36} \, {\left(9 \, x^{\frac{2}{3}} - 2\right)} \sin\left(3 \, x^{\frac{1}{3}}\right) + \frac{9}{4} \, {\left(x^{\frac{2}{3}} - 2\right)} \sin\left(x^{\frac{1}{3}}\right) + \frac{1}{6} \, x^{\frac{1}{3}} \cos\left(3 \, x^{\frac{1}{3}}\right) + \frac{9}{2} \, x^{\frac{1}{3}} \cos\left(x^{\frac{1}{3}}\right)"," ",0,"1/36*(9*x^(2/3) - 2)*sin(3*x^(1/3)) + 9/4*(x^(2/3) - 2)*sin(x^(1/3)) + 1/6*x^(1/3)*cos(3*x^(1/3)) + 9/2*x^(1/3)*cos(x^(1/3))","A",0
62,1,6,0,0.984641," ","integrate(cos(x^(1/6))/x^(5/6),x, algorithm=""maxima"")","6 \, \sin\left(x^{\frac{1}{6}}\right)"," ",0,"6*sin(x^(1/6))","A",0
63,0,0,0,0.000000," ","integrate((e*x)^m*(b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cos(d*x^n + c))^p, x)","F",0
64,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cos(d*x^n + c) + a)^p, x)","F",0
65,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
66,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{2 \, n - 1} \left(b \cos\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cos(d*x^n + c))^p, x)","F",0
67,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
68,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*cos(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{2 \, n - 1} {\left(b \cos\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cos(d*x^n + c) + a)^p, x)","F",0
69,1,90,0,1.741112," ","integrate(cos(a+b*x^n)/x,x, algorithm=""maxima"")","\frac{{\left({\rm Ei}\left(i \, b x^{n}\right) + {\rm Ei}\left(-i \, b x^{n}\right) + {\rm Ei}\left(i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(a\right) + {\left(i \, {\rm Ei}\left(i \, b x^{n}\right) - i \, {\rm Ei}\left(-i \, b x^{n}\right) + i \, {\rm Ei}\left(i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - i \, {\rm Ei}\left(-i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(a\right)}{4 \, n}"," ",0,"1/4*((Ei(I*b*x^n) + Ei(-I*b*x^n) + Ei(I*b*e^(n*conjugate(log(x)))) + Ei(-I*b*e^(n*conjugate(log(x)))))*cos(a) + (I*Ei(I*b*x^n) - I*Ei(-I*b*x^n) + I*Ei(I*b*e^(n*conjugate(log(x)))) - I*Ei(-I*b*e^(n*conjugate(log(x)))))*sin(a))/n","C",0
70,1,99,0,2.360712," ","integrate(cos(a+b*x^n)^2/x,x, algorithm=""maxima"")","\frac{{\left({\rm Ei}\left(2 i \, b x^{n}\right) + {\rm Ei}\left(-2 i \, b x^{n}\right) + {\rm Ei}\left(2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(2 \, a\right) + 4 \, n \log\left(x\right) + {\left(i \, {\rm Ei}\left(2 i \, b x^{n}\right) - i \, {\rm Ei}\left(-2 i \, b x^{n}\right) + i \, {\rm Ei}\left(2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - i \, {\rm Ei}\left(-2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(2 \, a\right)}{8 \, n}"," ",0,"1/8*((Ei(2*I*b*x^n) + Ei(-2*I*b*x^n) + Ei(2*I*b*e^(n*conjugate(log(x)))) + Ei(-2*I*b*e^(n*conjugate(log(x)))))*cos(2*a) + 4*n*log(x) + (I*Ei(2*I*b*x^n) - I*Ei(-2*I*b*x^n) + I*Ei(2*I*b*e^(n*conjugate(log(x)))) - I*Ei(-2*I*b*e^(n*conjugate(log(x)))))*sin(2*a))/n","C",0
71,1,179,0,1.862547," ","integrate(cos(a+b*x^n)^3/x,x, algorithm=""maxima"")","\frac{{\left({\rm Ei}\left(3 i \, b x^{n}\right) + {\rm Ei}\left(-3 i \, b x^{n}\right) + {\rm Ei}\left(3 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-3 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(3 \, a\right) + 3 \, {\left({\rm Ei}\left(i \, b x^{n}\right) + {\rm Ei}\left(-i \, b x^{n}\right) + {\rm Ei}\left(i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(a\right) + {\left(i \, {\rm Ei}\left(3 i \, b x^{n}\right) - i \, {\rm Ei}\left(-3 i \, b x^{n}\right) + i \, {\rm Ei}\left(3 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - i \, {\rm Ei}\left(-3 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(3 \, a\right) + {\left(3 i \, {\rm Ei}\left(i \, b x^{n}\right) - 3 i \, {\rm Ei}\left(-i \, b x^{n}\right) + 3 i \, {\rm Ei}\left(i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - 3 i \, {\rm Ei}\left(-i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(a\right)}{16 \, n}"," ",0,"1/16*((Ei(3*I*b*x^n) + Ei(-3*I*b*x^n) + Ei(3*I*b*e^(n*conjugate(log(x)))) + Ei(-3*I*b*e^(n*conjugate(log(x)))))*cos(3*a) + 3*(Ei(I*b*x^n) + Ei(-I*b*x^n) + Ei(I*b*e^(n*conjugate(log(x)))) + Ei(-I*b*e^(n*conjugate(log(x)))))*cos(a) + (I*Ei(3*I*b*x^n) - I*Ei(-3*I*b*x^n) + I*Ei(3*I*b*e^(n*conjugate(log(x)))) - I*Ei(-3*I*b*e^(n*conjugate(log(x)))))*sin(3*a) + (3*I*Ei(I*b*x^n) - 3*I*Ei(-I*b*x^n) + 3*I*Ei(I*b*e^(n*conjugate(log(x)))) - 3*I*Ei(-I*b*e^(n*conjugate(log(x)))))*sin(a))/n","C",0
72,1,188,0,2.618661," ","integrate(cos(a+b*x^n)^4/x,x, algorithm=""maxima"")","\frac{{\left({\rm Ei}\left(4 i \, b x^{n}\right) + {\rm Ei}\left(-4 i \, b x^{n}\right) + {\rm Ei}\left(4 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-4 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(4 \, a\right) + 4 \, {\left({\rm Ei}\left(2 i \, b x^{n}\right) + {\rm Ei}\left(-2 i \, b x^{n}\right) + {\rm Ei}\left(2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) + {\rm Ei}\left(-2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \cos\left(2 \, a\right) + 12 \, n \log\left(x\right) + {\left(i \, {\rm Ei}\left(4 i \, b x^{n}\right) - i \, {\rm Ei}\left(-4 i \, b x^{n}\right) + i \, {\rm Ei}\left(4 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - i \, {\rm Ei}\left(-4 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(4 \, a\right) + {\left(4 i \, {\rm Ei}\left(2 i \, b x^{n}\right) - 4 i \, {\rm Ei}\left(-2 i \, b x^{n}\right) + 4 i \, {\rm Ei}\left(2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right) - 4 i \, {\rm Ei}\left(-2 i \, b e^{\left(n \overline{\log\left(x\right)}\right)}\right)\right)} \sin\left(2 \, a\right)}{32 \, n}"," ",0,"1/32*((Ei(4*I*b*x^n) + Ei(-4*I*b*x^n) + Ei(4*I*b*e^(n*conjugate(log(x)))) + Ei(-4*I*b*e^(n*conjugate(log(x)))))*cos(4*a) + 4*(Ei(2*I*b*x^n) + Ei(-2*I*b*x^n) + Ei(2*I*b*e^(n*conjugate(log(x)))) + Ei(-2*I*b*e^(n*conjugate(log(x)))))*cos(2*a) + 12*n*log(x) + (I*Ei(4*I*b*x^n) - I*Ei(-4*I*b*x^n) + I*Ei(4*I*b*e^(n*conjugate(log(x)))) - I*Ei(-4*I*b*e^(n*conjugate(log(x)))))*sin(4*a) + (4*I*Ei(2*I*b*x^n) - 4*I*Ei(-2*I*b*x^n) + 4*I*Ei(2*I*b*e^(n*conjugate(log(x)))) - 4*I*Ei(-2*I*b*e^(n*conjugate(log(x)))))*sin(2*a))/n","C",0
73,0,0,0,0.000000," ","integrate(cos(a+b*x^n),x, algorithm=""maxima"")","\int \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(cos(b*x^n + a), x)","F",0
74,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{2} \, \int \cos\left(2 \, b x^{n} + 2 \, a\right)\,{d x}"," ",0,"1/2*x + 1/2*integrate(cos(2*b*x^n + 2*a), x)","F",0
75,0,0,0,0.000000," ","integrate(cos(a+b*x^n)^3,x, algorithm=""maxima"")","\int \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(cos(b*x^n + a)^3, x)","F",0
76,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n),x, algorithm=""maxima"")","\int x^{m} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^m*cos(b*x^n + a), x)","F",0
77,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{x x^{m} + {\left(m + 1\right)} \int x^{m} \cos\left(2 \, b x^{n} + 2 \, a\right)\,{d x}}{2 \, {\left(m + 1\right)}}"," ",0,"1/2*(x*x^m + (m + 1)*integrate(x^m*cos(2*b*x^n + 2*a), x))/(m + 1)","F",0
78,0,0,0,0.000000," ","integrate(x^m*cos(a+b*x^n)^3,x, algorithm=""maxima"")","\int x^{m} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cos(b*x^n + a)^3, x)","F",0
79,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n),x, algorithm=""maxima"")","\int x^{-n - 1} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-n - 1)*cos(b*x^n + a), x)","F",0
80,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{n x^{n} \int \frac{\cos\left(2 \, b x^{n} + 2 \, a\right)}{x x^{n}}\,{d x} - 1}{2 \, n x^{n}}"," ",0,"1/2*(n*x^n*integrate(cos(2*b*x^n + 2*a)/(x*x^n), x) - 1)/(n*x^n)","F",0
81,0,0,0,0.000000," ","integrate(x^(-1-n)*cos(a+b*x^n)^3,x, algorithm=""maxima"")","\int x^{-n - 1} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-n - 1)*cos(b*x^n + a)^3, x)","F",0
82,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n),x, algorithm=""maxima"")","\int x^{-2 \, n - 1} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-2*n - 1)*cos(b*x^n + a), x)","F",0
83,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{2 \, n x^{2 \, n} \int \frac{\cos\left(2 \, b x^{n} + 2 \, a\right)}{x x^{2 \, n}}\,{d x} - 1}{4 \, n x^{2 \, n}}"," ",0,"1/4*(2*n*x^(2*n)*integrate(cos(2*b*x^n + 2*a)/(x*x^(2*n)), x) - 1)/(n*x^(2*n))","F",0
84,0,0,0,0.000000," ","integrate(x^(-1-2*n)*cos(a+b*x^n)^3,x, algorithm=""maxima"")","\int x^{-2 \, n - 1} \cos\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-2*n - 1)*cos(b*x^n + a)^3, x)","F",0
85,1,256,0,3.190141," ","integrate(x^2*cos((b*x+a)^2),x, algorithm=""maxima"")","\frac{a b x {\left(8 i \, e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)} - 8 i \, e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}\right)} + a^{2} {\left(8 i \, e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)} - 8 i \, e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}\right)} + 2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left({\left(-\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}}\right) - 1\right)}\right)} a^{2} + \left(i + 1\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right) - \left(i - 1\right) \, \sqrt{2} \Gamma\left(\frac{3}{2}, -i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)\right)}}{16 \, {\left(b^{4} x + a b^{3}\right)}}"," ",0,"1/16*(a*b*x*(8*I*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2) - 8*I*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)) + a^2*(8*I*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2) - 8*I*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)) + 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*((-(I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(I*b^2*x^2 + 2*I*a*b*x + I*a^2)) - 1) + (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)) - 1))*a^2 + (I + 1)*sqrt(2)*gamma(3/2, I*b^2*x^2 + 2*I*a*b*x + I*a^2) - (I - 1)*sqrt(2)*gamma(3/2, -I*b^2*x^2 - 2*I*a*b*x - I*a^2)))/(b^4*x + a*b^3)","C",0
86,1,197,0,1.870212," ","integrate(x*cos((b*x+a)^2),x, algorithm=""maxima"")","-\frac{b x {\left(4 i \, e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)} - 4 i \, e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}\right)} + 2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2}} {\left(-\left(i - 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}}\right) - 1\right)} + \left(i + 1\right) \, \sqrt{2} \sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}}\right) - 1\right)}\right)} a + a {\left(4 i \, e^{\left(i \, b^{2} x^{2} + 2 i \, a b x + i \, a^{2}\right)} - 4 i \, e^{\left(-i \, b^{2} x^{2} - 2 i \, a b x - i \, a^{2}\right)}\right)}}{16 \, {\left(b^{3} x + a b^{2}\right)}}"," ",0,"-1/16*(b*x*(4*I*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2) - 4*I*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)) + 2*sqrt(b^2*x^2 + 2*a*b*x + a^2)*(-(I - 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(I*b^2*x^2 + 2*I*a*b*x + I*a^2)) - 1) + (I + 1)*sqrt(2)*sqrt(pi)*(erf(sqrt(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)) - 1))*a + a*(4*I*e^(I*b^2*x^2 + 2*I*a*b*x + I*a^2) - 4*I*e^(-I*b^2*x^2 - 2*I*a*b*x - I*a^2)))/(b^3*x + a*b^2)","C",0
87,1,84,0,0.822985," ","integrate(cos((b*x+a)^2),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(\left(i - 1\right) \, \sqrt{2} \operatorname{erf}\left(-\left(-1\right)^{\frac{3}{4}} {\left(i \, b x + i \, a\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 \, b x + 2 i \, a\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 \, b x + 2 i \, a\right)}\right) + \left(i + 1\right) \, \sqrt{2} \operatorname{erf}\left(\frac{i \, b x + i \, a}{\sqrt{-i}}\right)\right)}}{16 \, b}"," ",0,"-1/16*sqrt(pi)*((I - 1)*sqrt(2)*erf(-(-1)^(3/4)*(I*b*x + I*a)) + (I - 1)*sqrt(2)*erf(-(1/4*I - 1/4)*sqrt(2)*(2*I*b*x + 2*I*a)) - (I + 1)*sqrt(2)*erf(-(1/4*I + 1/4)*sqrt(2)*(2*I*b*x + 2*I*a)) + (I + 1)*sqrt(2)*erf((I*b*x + I*a)/sqrt(-I)))/b","C",0
88,0,0,0,0.000000," ","integrate(cos((b*x+a)^2)/x,x, algorithm=""maxima"")","\int \frac{\cos\left({\left(b x + a\right)}^{2}\right)}{x}\,{d x}"," ",0,"integrate(cos((b*x + a)^2)/x, x)","F",0
89,0,0,0,0.000000," ","integrate(cos((b*x+a)^2)/x^2,x, algorithm=""maxima"")","\int \frac{\cos\left({\left(b x + a\right)}^{2}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos((b*x + a)^2)/x^2, x)","F",0
90,1,672,0,0.645391," ","integrate(x^2*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, {\left(a c^{2} \sin\left(\sqrt{d x + c} b + a\right) - {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)} c^{2} - \frac{2 \, a^{3} c \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}} + \frac{6 \, {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)} a^{2} c}{b^{2}} + \frac{a^{5} \sin\left(\sqrt{d x + c} b + a\right)}{b^{4}} - \frac{5 \, {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)} a^{4}}{b^{4}} - \frac{6 \, {\left(2 \, {\left(\sqrt{d x + c} b + a\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} a c}{b^{2}} + \frac{10 \, {\left(2 \, {\left(\sqrt{d x + c} b + a\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} a^{3}}{b^{4}} + \frac{2 \, {\left(3 \, {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{3} - 6 \, \sqrt{d x + c} b - 6 \, a\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} c}{b^{2}} - \frac{10 \, {\left(3 \, {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{3} - 6 \, \sqrt{d x + c} b - 6 \, a\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} a^{2}}{b^{4}} + \frac{5 \, {\left(4 \, {\left({\left(\sqrt{d x + c} b + a\right)}^{3} - 6 \, \sqrt{d x + c} b - 6 \, a\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{4} - 12 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 24\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} a}{b^{4}} - \frac{5 \, {\left({\left(\sqrt{d x + c} b + a\right)}^{4} - 12 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 24\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{5} - 20 \, {\left(\sqrt{d x + c} b + a\right)}^{3} + 120 \, \sqrt{d x + c} b + 120 \, a\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{4}}\right)}}{b^{2} d^{3}}"," ",0,"-2*(a*c^2*sin(sqrt(d*x + c)*b + a) - ((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))*c^2 - 2*a^3*c*sin(sqrt(d*x + c)*b + a)/b^2 + 6*((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))*a^2*c/b^2 + a^5*sin(sqrt(d*x + c)*b + a)/b^4 - 5*((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))*a^4/b^4 - 6*(2*(sqrt(d*x + c)*b + a)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^2 - 2)*sin(sqrt(d*x + c)*b + a))*a*c/b^2 + 10*(2*(sqrt(d*x + c)*b + a)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^2 - 2)*sin(sqrt(d*x + c)*b + a))*a^3/b^4 + 2*(3*((sqrt(d*x + c)*b + a)^2 - 2)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^3 - 6*sqrt(d*x + c)*b - 6*a)*sin(sqrt(d*x + c)*b + a))*c/b^2 - 10*(3*((sqrt(d*x + c)*b + a)^2 - 2)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^3 - 6*sqrt(d*x + c)*b - 6*a)*sin(sqrt(d*x + c)*b + a))*a^2/b^4 + 5*(4*((sqrt(d*x + c)*b + a)^3 - 6*sqrt(d*x + c)*b - 6*a)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^4 - 12*(sqrt(d*x + c)*b + a)^2 + 24)*sin(sqrt(d*x + c)*b + a))*a/b^4 - (5*((sqrt(d*x + c)*b + a)^4 - 12*(sqrt(d*x + c)*b + a)^2 + 24)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^5 - 20*(sqrt(d*x + c)*b + a)^3 + 120*sqrt(d*x + c)*b + 120*a)*sin(sqrt(d*x + c)*b + a))/b^4)/(b^2*d^3)","B",0
91,1,263,0,0.364881," ","integrate(x*cos(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(a c \sin\left(\sqrt{d x + c} b + a\right) - {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)} c - \frac{a^{3} \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}} + \frac{3 \, {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)} a^{2}}{b^{2}} - \frac{3 \, {\left(2 \, {\left(\sqrt{d x + c} b + a\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \sin\left(\sqrt{d x + c} b + a\right)\right)} a}{b^{2}} + \frac{3 \, {\left({\left(\sqrt{d x + c} b + a\right)}^{2} - 2\right)} \cos\left(\sqrt{d x + c} b + a\right) + {\left({\left(\sqrt{d x + c} b + a\right)}^{3} - 6 \, \sqrt{d x + c} b - 6 \, a\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}}\right)}}{b^{2} d^{2}}"," ",0,"2*(a*c*sin(sqrt(d*x + c)*b + a) - ((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))*c - a^3*sin(sqrt(d*x + c)*b + a)/b^2 + 3*((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))*a^2/b^2 - 3*(2*(sqrt(d*x + c)*b + a)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^2 - 2)*sin(sqrt(d*x + c)*b + a))*a/b^2 + (3*((sqrt(d*x + c)*b + a)^2 - 2)*cos(sqrt(d*x + c)*b + a) + ((sqrt(d*x + c)*b + a)^3 - 6*sqrt(d*x + c)*b - 6*a)*sin(sqrt(d*x + c)*b + a))/b^2)/(b^2*d^2)","A",0
92,1,60,0,0.299674," ","integrate(cos(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(\sqrt{d x + c} b + a\right)} \sin\left(\sqrt{d x + c} b + a\right) - a \sin\left(\sqrt{d x + c} b + a\right) + \cos\left(\sqrt{d x + c} b + a\right)\right)}}{b^{2} d}"," ",0,"2*((sqrt(d*x + c)*b + a)*sin(sqrt(d*x + c)*b + a) - a*sin(sqrt(d*x + c)*b + a) + cos(sqrt(d*x + c)*b + a))/(b^2*d)","A",0
93,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/2))/x,x, algorithm=""maxima"")","\int \frac{\cos\left(\sqrt{d x + c} b + a\right)}{x}\,{d x}"," ",0,"integrate(cos(sqrt(d*x + c)*b + a)/x, x)","F",0
94,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""maxima"")","\int \frac{\cos\left(\sqrt{d x + c} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(sqrt(d*x + c)*b + a)/x^2, x)","F",0
95,1,1349,0,0.750401," ","integrate(x^2*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","\frac{3 \, {\left(a^{2} c^{2} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - 2 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a c^{2} + \frac{2 \, a^{5} c \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{3}} - \frac{10 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{4} c}{b^{3}} + {\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} c^{2} + \frac{a^{8} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{6}} - \frac{8 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{7}}{b^{6}} + \frac{20 \, {\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{3} c}{b^{3}} + \frac{28 \, {\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{6}}{b^{6}} - \frac{20 \, {\left(3 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{2} c}{b^{3}} - \frac{56 \, {\left(3 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{5}}{b^{6}} + \frac{10 \, {\left(4 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a c}{b^{3}} + \frac{70 \, {\left(4 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{4}}{b^{6}} - \frac{2 \, {\left(5 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 120 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} c}{b^{3}} - \frac{56 \, {\left(5 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 120 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{3}}{b^{6}} + \frac{28 \, {\left(6 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 120 \, a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} + 360 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 720\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{2}}{b^{6}} - \frac{8 \, {\left(7 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} + 360 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 720\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} - 42 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 5040 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 5040 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a}{b^{6}} + \frac{8 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} - 42 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 5040 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 5040 \, a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{8} - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} + 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 20160 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 40320\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{6}}\right)}}{b^{3} d^{3}}"," ",0,"3*(a^2*c^2*sin((d*x + c)^(1/3)*b + a) - 2*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a*c^2 + 2*a^5*c*sin((d*x + c)^(1/3)*b + a)/b^3 - 10*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a^4*c/b^3 + (2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))*c^2 + a^8*sin((d*x + c)^(1/3)*b + a)/b^6 - 8*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a^7/b^6 + 20*(2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))*a^3*c/b^3 + 28*(2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))*a^6/b^6 - 20*(3*(((d*x + c)^(1/3)*b + a)^2 - 2)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*sin((d*x + c)^(1/3)*b + a))*a^2*c/b^3 - 56*(3*(((d*x + c)^(1/3)*b + a)^2 - 2)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*sin((d*x + c)^(1/3)*b + a))*a^5/b^6 + 10*(4*(((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*sin((d*x + c)^(1/3)*b + a))*a*c/b^3 + 70*(4*(((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*sin((d*x + c)^(1/3)*b + a))*a^4/b^6 - 2*(5*(((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^5 - 20*((d*x + c)^(1/3)*b + a)^3 + 120*(d*x + c)^(1/3)*b + 120*a)*sin((d*x + c)^(1/3)*b + a))*c/b^3 - 56*(5*(((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^5 - 20*((d*x + c)^(1/3)*b + a)^3 + 120*(d*x + c)^(1/3)*b + 120*a)*sin((d*x + c)^(1/3)*b + a))*a^3/b^6 + 28*(6*(((d*x + c)^(1/3)*b + a)^5 - 20*((d*x + c)^(1/3)*b + a)^3 + 120*(d*x + c)^(1/3)*b + 120*a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^6 - 30*((d*x + c)^(1/3)*b + a)^4 + 360*((d*x + c)^(1/3)*b + a)^2 - 720)*sin((d*x + c)^(1/3)*b + a))*a^2/b^6 - 8*(7*(((d*x + c)^(1/3)*b + a)^6 - 30*((d*x + c)^(1/3)*b + a)^4 + 360*((d*x + c)^(1/3)*b + a)^2 - 720)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^7 - 42*((d*x + c)^(1/3)*b + a)^5 + 840*((d*x + c)^(1/3)*b + a)^3 - 5040*(d*x + c)^(1/3)*b - 5040*a)*sin((d*x + c)^(1/3)*b + a))*a/b^6 + (8*(((d*x + c)^(1/3)*b + a)^7 - 42*((d*x + c)^(1/3)*b + a)^5 + 840*((d*x + c)^(1/3)*b + a)^3 - 5040*(d*x + c)^(1/3)*b - 5040*a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^8 - 56*((d*x + c)^(1/3)*b + a)^6 + 1680*((d*x + c)^(1/3)*b + a)^4 - 20160*((d*x + c)^(1/3)*b + a)^2 + 40320)*sin((d*x + c)^(1/3)*b + a))/b^6)/(b^3*d^3)","B",0
96,1,523,0,0.696081," ","integrate(x*cos(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, {\left(a^{2} c \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - 2 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a c + \frac{a^{5} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{3}} - \frac{5 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{4}}{b^{3}} + {\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} c + \frac{10 \, {\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{3}}{b^{3}} - \frac{10 \, {\left(3 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a^{2}}{b^{3}} + \frac{5 \, {\left(4 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b - 6 \, a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a}{b^{3}} - \frac{5 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 24\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 120 \, a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{3}}\right)}}{b^{3} d^{2}}"," ",0,"-3*(a^2*c*sin((d*x + c)^(1/3)*b + a) - 2*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a*c + a^5*sin((d*x + c)^(1/3)*b + a)/b^3 - 5*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a^4/b^3 + (2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))*c + 10*(2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))*a^3/b^3 - 10*(3*(((d*x + c)^(1/3)*b + a)^2 - 2)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*sin((d*x + c)^(1/3)*b + a))*a^2/b^3 + 5*(4*(((d*x + c)^(1/3)*b + a)^3 - 6*(d*x + c)^(1/3)*b - 6*a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*sin((d*x + c)^(1/3)*b + a))*a/b^3 - (5*(((d*x + c)^(1/3)*b + a)^4 - 12*((d*x + c)^(1/3)*b + a)^2 + 24)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^5 - 20*((d*x + c)^(1/3)*b + a)^3 + 120*(d*x + c)^(1/3)*b + 120*a)*sin((d*x + c)^(1/3)*b + a))/b^3)/(b^3*d^2)","B",0
97,1,118,0,0.435743," ","integrate(cos(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","\frac{3 \, {\left(a^{2} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - 2 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)} a + 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{3} d}"," ",0,"3*(a^2*sin((d*x + c)^(1/3)*b + a) - 2*(((d*x + c)^(1/3)*b + a)*sin((d*x + c)^(1/3)*b + a) + cos((d*x + c)^(1/3)*b + a))*a + 2*((d*x + c)^(1/3)*b + a)*cos((d*x + c)^(1/3)*b + a) + (((d*x + c)^(1/3)*b + a)^2 - 2)*sin((d*x + c)^(1/3)*b + a))/(b^3*d)","A",0
98,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/3))/x,x, algorithm=""maxima"")","\int \frac{\cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x}\,{d x}"," ",0,"integrate(cos((d*x + c)^(1/3)*b + a)/x, x)","F",0
99,0,0,0,0.000000," ","integrate(cos(a+b*(d*x+c)^(1/3))/x^2,x, algorithm=""maxima"")","\int \frac{\cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos((d*x + c)^(1/3)*b + a)/x^2, x)","F",0
