1,1,75,0,0.682146," ","integrate((a+a*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, a^{3} \cos\left(d x + c\right)^{3} + 27 \, a^{3} \cos\left(d x + c\right)^{2} + 71 \, a^{3} \cos\left(d x + c\right) + 177 \, a^{3}\right)} \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{35 \, {\left(d \cos\left(d x + c\right) + d\right)}}"," ",0,"2/35*(5*a^3*cos(d*x + c)^3 + 27*a^3*cos(d*x + c)^2 + 71*a^3*cos(d*x + c) + 177*a^3)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/(d*cos(d*x + c) + d)","A",0
2,1,62,0,0.550349," ","integrate((a+a*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, a^{2} \cos\left(d x + c\right)^{2} + 14 \, a^{2} \cos\left(d x + c\right) + 43 \, a^{2}\right)} \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{15 \, {\left(d \cos\left(d x + c\right) + d\right)}}"," ",0,"2/15*(3*a^2*cos(d*x + c)^2 + 14*a^2*cos(d*x + c) + 43*a^2)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/(d*cos(d*x + c) + d)","A",0
3,1,44,0,0.527093," ","integrate((a+a*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(a \cos\left(d x + c\right) + 5 \, a\right)} \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{3 \, {\left(d \cos\left(d x + c\right) + d\right)}}"," ",0,"2/3*(a*cos(d*x + c) + 5*a)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/(d*cos(d*x + c) + d)","A",0
4,1,32,0,0.638023," ","integrate((a+a*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{d \cos\left(d x + c\right) + d}"," ",0,"2*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/(d*cos(d*x + c) + d)","A",0
5,1,126,0,0.784332," ","integrate(1/(a+a*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(-\frac{\cos\left(d x + c\right)^{2} - \frac{2 \, \sqrt{2} \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{\sqrt{a}} - 2 \, \cos\left(d x + c\right) - 3}{\cos\left(d x + c\right)^{2} + 2 \, \cos\left(d x + c\right) + 1}\right)}{2 \, \sqrt{a} d}, -\frac{\sqrt{2} \sqrt{-\frac{1}{a}} \arctan\left(\frac{\sqrt{2} \sqrt{a \cos\left(d x + c\right) + a} \sqrt{-\frac{1}{a}}}{\sin\left(d x + c\right)}\right)}{d}\right]"," ",0,"[1/2*sqrt(2)*log(-(cos(d*x + c)^2 - 2*sqrt(2)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/sqrt(a) - 2*cos(d*x + c) - 3)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1))/(sqrt(a)*d), -sqrt(2)*sqrt(-1/a)*arctan(sqrt(2)*sqrt(a*cos(d*x + c) + a)*sqrt(-1/a)/sin(d*x + c))/d]","A",0
6,1,153,0,0.802101," ","integrate(1/(a+a*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(\cos\left(d x + c\right)^{2} + 2 \, \cos\left(d x + c\right) + 1\right)} \sqrt{a} \log\left(-\frac{a \cos\left(d x + c\right)^{2} - 2 \, \sqrt{2} \sqrt{a \cos\left(d x + c\right) + a} \sqrt{a} \sin\left(d x + c\right) - 2 \, a \cos\left(d x + c\right) - 3 \, a}{\cos\left(d x + c\right)^{2} + 2 \, \cos\left(d x + c\right) + 1}\right) + 4 \, \sqrt{a \cos\left(d x + c\right) + a} \sin\left(d x + c\right)}{8 \, {\left(a^{2} d \cos\left(d x + c\right)^{2} + 2 \, a^{2} d \cos\left(d x + c\right) + a^{2} d\right)}}"," ",0,"1/8*(sqrt(2)*(cos(d*x + c)^2 + 2*cos(d*x + c) + 1)*sqrt(a)*log(-(a*cos(d*x + c)^2 - 2*sqrt(2)*sqrt(a*cos(d*x + c) + a)*sqrt(a)*sin(d*x + c) - 2*a*cos(d*x + c) - 3*a)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1)) + 4*sqrt(a*cos(d*x + c) + a)*sin(d*x + c))/(a^2*d*cos(d*x + c)^2 + 2*a^2*d*cos(d*x + c) + a^2*d)","B",0
7,1,188,0,0.787078," ","integrate(1/(a+a*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(\cos\left(d x + c\right)^{3} + 3 \, \cos\left(d x + c\right)^{2} + 3 \, \cos\left(d x + c\right) + 1\right)} \sqrt{a} \log\left(-\frac{a \cos\left(d x + c\right)^{2} - 2 \, \sqrt{2} \sqrt{a \cos\left(d x + c\right) + a} \sqrt{a} \sin\left(d x + c\right) - 2 \, a \cos\left(d x + c\right) - 3 \, a}{\cos\left(d x + c\right)^{2} + 2 \, \cos\left(d x + c\right) + 1}\right) + 4 \, \sqrt{a \cos\left(d x + c\right) + a} {\left(3 \, \cos\left(d x + c\right) + 7\right)} \sin\left(d x + c\right)}{64 \, {\left(a^{3} d \cos\left(d x + c\right)^{3} + 3 \, a^{3} d \cos\left(d x + c\right)^{2} + 3 \, a^{3} d \cos\left(d x + c\right) + a^{3} d\right)}}"," ",0,"1/64*(3*sqrt(2)*(cos(d*x + c)^3 + 3*cos(d*x + c)^2 + 3*cos(d*x + c) + 1)*sqrt(a)*log(-(a*cos(d*x + c)^2 - 2*sqrt(2)*sqrt(a*cos(d*x + c) + a)*sqrt(a)*sin(d*x + c) - 2*a*cos(d*x + c) - 3*a)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1)) + 4*sqrt(a*cos(d*x + c) + a)*(3*cos(d*x + c) + 7)*sin(d*x + c))/(a^3*d*cos(d*x + c)^3 + 3*a^3*d*cos(d*x + c)^2 + 3*a^3*d*cos(d*x + c) + a^3*d)","B",0
8,0,0,0,0.567430," ","integrate((a+a*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(a \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(4/3), x)","F",0
9,0,0,0,0.583207," ","integrate((a+a*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(2/3), x)","F",0
10,0,0,0,0.585783," ","integrate((a+a*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(1/3), x)","F",0
11,0,0,0,0.513671," ","integrate(1/(a+a*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(-1/3), x)","F",0
12,0,0,0,0.505614," ","integrate(1/(a+a*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(-2/3), x)","F",0
13,0,0,0,0.584502," ","integrate(1/(a+a*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}{a^{2} \cos\left(d x + c\right)^{2} + 2 \, a^{2} \cos\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^(2/3)/(a^2*cos(d*x + c)^2 + 2*a^2*cos(d*x + c) + a^2), x)","F",0
14,0,0,0,0.585481," ","integrate((a+a*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(a \cos\left(d x + c\right) + a\right)}^{n}, x\right)"," ",0,"integral((a*cos(d*x + c) + a)^n, x)","F",0
15,0,0,0,0.501912," ","integrate((a-a*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-a \cos\left(d x + c\right) + a\right)}^{n}, x\right)"," ",0,"integral((-a*cos(d*x + c) + a)^n, x)","F",0
16,0,0,0,0.699788," ","integrate((2+2*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(2 \, \cos\left(d x + c\right) + 2\right)}^{n}, x\right)"," ",0,"integral((2*cos(d*x + c) + 2)^n, x)","F",0
17,0,0,0,0.663886," ","integrate((2-2*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-2 \, \cos\left(d x + c\right) + 2\right)}^{n}, x\right)"," ",0,"integral((-2*cos(d*x + c) + 2)^n, x)","F",0
18,1,26,0,0.508328," ","integrate(1/(5+3*cos(d*x+c)),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right)}{4 \, d}"," ",0,"-1/4*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c))/d","A",0
19,1,59,0,0.581290," ","integrate(1/(5+3*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, \cos\left(d x + c\right) + 5\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, \sin\left(d x + c\right)}{64 \, {\left(3 \, d \cos\left(d x + c\right) + 5 \, d\right)}}"," ",0,"-1/64*(5*(3*cos(d*x + c) + 5)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 12*sin(d*x + c))/(3*d*cos(d*x + c) + 5*d)","A",0
20,1,90,0,0.616545," ","integrate(1/(5+3*cos(d*x+c))^3,x, algorithm=""fricas"")","-\frac{59 \, {\left(9 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 25\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, {\left(45 \, \cos\left(d x + c\right) + 91\right)} \sin\left(d x + c\right)}{2048 \, {\left(9 \, d \cos\left(d x + c\right)^{2} + 30 \, d \cos\left(d x + c\right) + 25 \, d\right)}}"," ",0,"-1/2048*(59*(9*cos(d*x + c)^2 + 30*cos(d*x + c) + 25)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 12*(45*cos(d*x + c) + 91)*sin(d*x + c))/(9*d*cos(d*x + c)^2 + 30*d*cos(d*x + c) + 25*d)","A",0
21,1,121,0,0.603903," ","integrate(1/(5+3*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{385 \, {\left(27 \, \cos\left(d x + c\right)^{3} + 135 \, \cos\left(d x + c\right)^{2} + 225 \, \cos\left(d x + c\right) + 125\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 36 \, {\left(311 \, \cos\left(d x + c\right)^{2} + 1170 \, \cos\left(d x + c\right) + 1143\right)} \sin\left(d x + c\right)}{32768 \, {\left(27 \, d \cos\left(d x + c\right)^{3} + 135 \, d \cos\left(d x + c\right)^{2} + 225 \, d \cos\left(d x + c\right) + 125 \, d\right)}}"," ",0,"-1/32768*(385*(27*cos(d*x + c)^3 + 135*cos(d*x + c)^2 + 225*cos(d*x + c) + 125)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 36*(311*cos(d*x + c)^2 + 1170*cos(d*x + c) + 1143)*sin(d*x + c))/(27*d*cos(d*x + c)^3 + 135*d*cos(d*x + c)^2 + 225*d*cos(d*x + c) + 125*d)","A",0
22,1,26,0,0.638030," ","integrate(1/(5-3*cos(d*x+c)),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right)}{4 \, d}"," ",0,"-1/4*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c))/d","A",0
23,1,59,0,0.561406," ","integrate(1/(5-3*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, \cos\left(d x + c\right) - 5\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, \sin\left(d x + c\right)}{64 \, {\left(3 \, d \cos\left(d x + c\right) - 5 \, d\right)}}"," ",0,"-1/64*(5*(3*cos(d*x + c) - 5)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 12*sin(d*x + c))/(3*d*cos(d*x + c) - 5*d)","A",0
24,1,90,0,0.638045," ","integrate(1/(5-3*cos(d*x+c))^3,x, algorithm=""fricas"")","-\frac{59 \, {\left(9 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 25\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, {\left(45 \, \cos\left(d x + c\right) - 91\right)} \sin\left(d x + c\right)}{2048 \, {\left(9 \, d \cos\left(d x + c\right)^{2} - 30 \, d \cos\left(d x + c\right) + 25 \, d\right)}}"," ",0,"-1/2048*(59*(9*cos(d*x + c)^2 - 30*cos(d*x + c) + 25)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 12*(45*cos(d*x + c) - 91)*sin(d*x + c))/(9*d*cos(d*x + c)^2 - 30*d*cos(d*x + c) + 25*d)","A",0
25,1,121,0,0.614705," ","integrate(1/(5-3*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{385 \, {\left(27 \, \cos\left(d x + c\right)^{3} - 135 \, \cos\left(d x + c\right)^{2} + 225 \, \cos\left(d x + c\right) - 125\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 36 \, {\left(311 \, \cos\left(d x + c\right)^{2} - 1170 \, \cos\left(d x + c\right) + 1143\right)} \sin\left(d x + c\right)}{32768 \, {\left(27 \, d \cos\left(d x + c\right)^{3} - 135 \, d \cos\left(d x + c\right)^{2} + 225 \, d \cos\left(d x + c\right) - 125 \, d\right)}}"," ",0,"-1/32768*(385*(27*cos(d*x + c)^3 - 135*cos(d*x + c)^2 + 225*cos(d*x + c) - 125)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 36*(311*cos(d*x + c)^2 - 1170*cos(d*x + c) + 1143)*sin(d*x + c))/(27*d*cos(d*x + c)^3 - 135*d*cos(d*x + c)^2 + 225*d*cos(d*x + c) - 125*d)","A",0
26,1,26,0,0.916028," ","integrate(1/(-5+3*cos(d*x+c)),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right)}{4 \, d}"," ",0,"1/4*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c))/d","A",0
27,1,59,0,0.748736," ","integrate(1/(-5+3*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, \cos\left(d x + c\right) - 5\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, \sin\left(d x + c\right)}{64 \, {\left(3 \, d \cos\left(d x + c\right) - 5 \, d\right)}}"," ",0,"-1/64*(5*(3*cos(d*x + c) - 5)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 12*sin(d*x + c))/(3*d*cos(d*x + c) - 5*d)","A",0
28,1,90,0,1.105298," ","integrate(1/(-5+3*cos(d*x+c))^3,x, algorithm=""fricas"")","\frac{59 \, {\left(9 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 25\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, {\left(45 \, \cos\left(d x + c\right) - 91\right)} \sin\left(d x + c\right)}{2048 \, {\left(9 \, d \cos\left(d x + c\right)^{2} - 30 \, d \cos\left(d x + c\right) + 25 \, d\right)}}"," ",0,"1/2048*(59*(9*cos(d*x + c)^2 - 30*cos(d*x + c) + 25)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 12*(45*cos(d*x + c) - 91)*sin(d*x + c))/(9*d*cos(d*x + c)^2 - 30*d*cos(d*x + c) + 25*d)","A",0
29,1,121,0,0.725357," ","integrate(1/(-5+3*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{385 \, {\left(27 \, \cos\left(d x + c\right)^{3} - 135 \, \cos\left(d x + c\right)^{2} + 225 \, \cos\left(d x + c\right) - 125\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) - 3}{4 \, \sin\left(d x + c\right)}\right) + 36 \, {\left(311 \, \cos\left(d x + c\right)^{2} - 1170 \, \cos\left(d x + c\right) + 1143\right)} \sin\left(d x + c\right)}{32768 \, {\left(27 \, d \cos\left(d x + c\right)^{3} - 135 \, d \cos\left(d x + c\right)^{2} + 225 \, d \cos\left(d x + c\right) - 125 \, d\right)}}"," ",0,"-1/32768*(385*(27*cos(d*x + c)^3 - 135*cos(d*x + c)^2 + 225*cos(d*x + c) - 125)*arctan(1/4*(5*cos(d*x + c) - 3)/sin(d*x + c)) + 36*(311*cos(d*x + c)^2 - 1170*cos(d*x + c) + 1143)*sin(d*x + c))/(27*d*cos(d*x + c)^3 - 135*d*cos(d*x + c)^2 + 225*d*cos(d*x + c) - 125*d)","A",0
30,1,26,0,0.604326," ","integrate(1/(-5-3*cos(d*x+c)),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right)}{4 \, d}"," ",0,"1/4*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c))/d","A",0
31,1,59,0,0.990585," ","integrate(1/(-5-3*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, \cos\left(d x + c\right) + 5\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, \sin\left(d x + c\right)}{64 \, {\left(3 \, d \cos\left(d x + c\right) + 5 \, d\right)}}"," ",0,"-1/64*(5*(3*cos(d*x + c) + 5)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 12*sin(d*x + c))/(3*d*cos(d*x + c) + 5*d)","A",0
32,1,90,0,0.929102," ","integrate(1/(-5-3*cos(d*x+c))^3,x, algorithm=""fricas"")","\frac{59 \, {\left(9 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 25\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 12 \, {\left(45 \, \cos\left(d x + c\right) + 91\right)} \sin\left(d x + c\right)}{2048 \, {\left(9 \, d \cos\left(d x + c\right)^{2} + 30 \, d \cos\left(d x + c\right) + 25 \, d\right)}}"," ",0,"1/2048*(59*(9*cos(d*x + c)^2 + 30*cos(d*x + c) + 25)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 12*(45*cos(d*x + c) + 91)*sin(d*x + c))/(9*d*cos(d*x + c)^2 + 30*d*cos(d*x + c) + 25*d)","A",0
33,1,121,0,0.846493," ","integrate(1/(-5-3*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{385 \, {\left(27 \, \cos\left(d x + c\right)^{3} + 135 \, \cos\left(d x + c\right)^{2} + 225 \, \cos\left(d x + c\right) + 125\right)} \arctan\left(\frac{5 \, \cos\left(d x + c\right) + 3}{4 \, \sin\left(d x + c\right)}\right) + 36 \, {\left(311 \, \cos\left(d x + c\right)^{2} + 1170 \, \cos\left(d x + c\right) + 1143\right)} \sin\left(d x + c\right)}{32768 \, {\left(27 \, d \cos\left(d x + c\right)^{3} + 135 \, d \cos\left(d x + c\right)^{2} + 225 \, d \cos\left(d x + c\right) + 125 \, d\right)}}"," ",0,"-1/32768*(385*(27*cos(d*x + c)^3 + 135*cos(d*x + c)^2 + 225*cos(d*x + c) + 125)*arctan(1/4*(5*cos(d*x + c) + 3)/sin(d*x + c)) + 36*(311*cos(d*x + c)^2 + 1170*cos(d*x + c) + 1143)*sin(d*x + c))/(27*d*cos(d*x + c)^3 + 135*d*cos(d*x + c)^2 + 225*d*cos(d*x + c) + 125*d)","A",0
34,1,46,0,0.518441," ","integrate(1/(3+5*cos(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right)}{8 \, d}"," ",0,"1/8*(log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2))/d","A",0
35,1,88,0,0.657181," ","integrate(1/(3+5*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(5 \, \cos\left(d x + c\right) + 3\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 3 \, {\left(5 \, \cos\left(d x + c\right) + 3\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, \sin\left(d x + c\right)}{128 \, {\left(5 \, d \cos\left(d x + c\right) + 3 \, d\right)}}"," ",0,"-1/128*(3*(5*cos(d*x + c) + 3)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 3*(5*cos(d*x + c) + 3)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*sin(d*x + c))/(5*d*cos(d*x + c) + 3*d)","A",0
36,1,129,0,0.883087," ","integrate(1/(3+5*cos(d*x+c))^3,x, algorithm=""fricas"")","\frac{43 \, {\left(25 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 43 \, {\left(25 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, {\left(45 \, \cos\left(d x + c\right) + 11\right)} \sin\left(d x + c\right)}{4096 \, {\left(25 \, d \cos\left(d x + c\right)^{2} + 30 \, d \cos\left(d x + c\right) + 9 \, d\right)}}"," ",0,"1/4096*(43*(25*cos(d*x + c)^2 + 30*cos(d*x + c) + 9)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 43*(25*cos(d*x + c)^2 + 30*cos(d*x + c) + 9)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*(45*cos(d*x + c) + 11)*sin(d*x + c))/(25*d*cos(d*x + c)^2 + 30*d*cos(d*x + c) + 9*d)","A",0
37,1,170,0,0.626552," ","integrate(1/(3+5*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{837 \, {\left(125 \, \cos\left(d x + c\right)^{3} + 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) + 27\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 837 \, {\left(125 \, \cos\left(d x + c\right)^{3} + 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) + 27\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, {\left(4975 \, \cos\left(d x + c\right)^{2} + 4770 \, \cos\left(d x + c\right) + 1583\right)} \sin\left(d x + c\right)}{196608 \, {\left(125 \, d \cos\left(d x + c\right)^{3} + 225 \, d \cos\left(d x + c\right)^{2} + 135 \, d \cos\left(d x + c\right) + 27 \, d\right)}}"," ",0,"-1/196608*(837*(125*cos(d*x + c)^3 + 225*cos(d*x + c)^2 + 135*cos(d*x + c) + 27)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 837*(125*cos(d*x + c)^3 + 225*cos(d*x + c)^2 + 135*cos(d*x + c) + 27)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*(4975*cos(d*x + c)^2 + 4770*cos(d*x + c) + 1583)*sin(d*x + c))/(125*d*cos(d*x + c)^3 + 225*d*cos(d*x + c)^2 + 135*d*cos(d*x + c) + 27*d)","A",0
38,1,46,0,0.910393," ","integrate(1/(3-5*cos(d*x+c)),x, algorithm=""fricas"")","-\frac{\log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right)}{8 \, d}"," ",0,"-1/8*(log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2))/d","A",0
39,1,88,0,0.840107," ","integrate(1/(3-5*cos(d*x+c))^2,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, \cos\left(d x + c\right) - 3\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 3 \, {\left(5 \, \cos\left(d x + c\right) - 3\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, \sin\left(d x + c\right)}{128 \, {\left(5 \, d \cos\left(d x + c\right) - 3 \, d\right)}}"," ",0,"1/128*(3*(5*cos(d*x + c) - 3)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 3*(5*cos(d*x + c) - 3)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*sin(d*x + c))/(5*d*cos(d*x + c) - 3*d)","A",0
40,1,129,0,0.983229," ","integrate(1/(3-5*cos(d*x+c))^3,x, algorithm=""fricas"")","-\frac{43 \, {\left(25 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 43 \, {\left(25 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, {\left(45 \, \cos\left(d x + c\right) - 11\right)} \sin\left(d x + c\right)}{4096 \, {\left(25 \, d \cos\left(d x + c\right)^{2} - 30 \, d \cos\left(d x + c\right) + 9 \, d\right)}}"," ",0,"-1/4096*(43*(25*cos(d*x + c)^2 - 30*cos(d*x + c) + 9)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 43*(25*cos(d*x + c)^2 - 30*cos(d*x + c) + 9)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*(45*cos(d*x + c) - 11)*sin(d*x + c))/(25*d*cos(d*x + c)^2 - 30*d*cos(d*x + c) + 9*d)","A",0
41,1,170,0,0.722044," ","integrate(1/(3-5*cos(d*x+c))^4,x, algorithm=""fricas"")","\frac{837 \, {\left(125 \, \cos\left(d x + c\right)^{3} - 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) - 27\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 837 \, {\left(125 \, \cos\left(d x + c\right)^{3} - 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) - 27\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, {\left(4975 \, \cos\left(d x + c\right)^{2} - 4770 \, \cos\left(d x + c\right) + 1583\right)} \sin\left(d x + c\right)}{196608 \, {\left(125 \, d \cos\left(d x + c\right)^{3} - 225 \, d \cos\left(d x + c\right)^{2} + 135 \, d \cos\left(d x + c\right) - 27 \, d\right)}}"," ",0,"1/196608*(837*(125*cos(d*x + c)^3 - 225*cos(d*x + c)^2 + 135*cos(d*x + c) - 27)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 837*(125*cos(d*x + c)^3 - 225*cos(d*x + c)^2 + 135*cos(d*x + c) - 27)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*(4975*cos(d*x + c)^2 - 4770*cos(d*x + c) + 1583)*sin(d*x + c))/(125*d*cos(d*x + c)^3 - 225*d*cos(d*x + c)^2 + 135*d*cos(d*x + c) - 27*d)","A",0
42,1,46,0,0.623739," ","integrate(1/(-3+5*cos(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right)}{8 \, d}"," ",0,"1/8*(log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2))/d","A",0
43,1,88,0,1.002788," ","integrate(1/(-3+5*cos(d*x+c))^2,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, \cos\left(d x + c\right) - 3\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 3 \, {\left(5 \, \cos\left(d x + c\right) - 3\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, \sin\left(d x + c\right)}{128 \, {\left(5 \, d \cos\left(d x + c\right) - 3 \, d\right)}}"," ",0,"1/128*(3*(5*cos(d*x + c) - 3)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 3*(5*cos(d*x + c) - 3)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*sin(d*x + c))/(5*d*cos(d*x + c) - 3*d)","A",0
44,1,129,0,1.480099," ","integrate(1/(-3+5*cos(d*x+c))^3,x, algorithm=""fricas"")","\frac{43 \, {\left(25 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 43 \, {\left(25 \, \cos\left(d x + c\right)^{2} - 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, {\left(45 \, \cos\left(d x + c\right) - 11\right)} \sin\left(d x + c\right)}{4096 \, {\left(25 \, d \cos\left(d x + c\right)^{2} - 30 \, d \cos\left(d x + c\right) + 9 \, d\right)}}"," ",0,"1/4096*(43*(25*cos(d*x + c)^2 - 30*cos(d*x + c) + 9)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 43*(25*cos(d*x + c)^2 - 30*cos(d*x + c) + 9)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*(45*cos(d*x + c) - 11)*sin(d*x + c))/(25*d*cos(d*x + c)^2 - 30*d*cos(d*x + c) + 9*d)","A",0
45,1,170,0,1.603942," ","integrate(1/(-3+5*cos(d*x+c))^4,x, algorithm=""fricas"")","\frac{837 \, {\left(125 \, \cos\left(d x + c\right)^{3} - 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) - 27\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 837 \, {\left(125 \, \cos\left(d x + c\right)^{3} - 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) - 27\right)} \log\left(-\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) + 40 \, {\left(4975 \, \cos\left(d x + c\right)^{2} - 4770 \, \cos\left(d x + c\right) + 1583\right)} \sin\left(d x + c\right)}{196608 \, {\left(125 \, d \cos\left(d x + c\right)^{3} - 225 \, d \cos\left(d x + c\right)^{2} + 135 \, d \cos\left(d x + c\right) - 27 \, d\right)}}"," ",0,"1/196608*(837*(125*cos(d*x + c)^3 - 225*cos(d*x + c)^2 + 135*cos(d*x + c) - 27)*log(-3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 837*(125*cos(d*x + c)^3 - 225*cos(d*x + c)^2 + 135*cos(d*x + c) - 27)*log(-3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) + 40*(4975*cos(d*x + c)^2 - 4770*cos(d*x + c) + 1583)*sin(d*x + c))/(125*d*cos(d*x + c)^3 - 225*d*cos(d*x + c)^2 + 135*d*cos(d*x + c) - 27*d)","A",0
46,1,46,0,0.728352," ","integrate(1/(-3-5*cos(d*x+c)),x, algorithm=""fricas"")","-\frac{\log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right)}{8 \, d}"," ",0,"-1/8*(log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2))/d","A",0
47,1,88,0,2.022382," ","integrate(1/(-3-5*cos(d*x+c))^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(5 \, \cos\left(d x + c\right) + 3\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 3 \, {\left(5 \, \cos\left(d x + c\right) + 3\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, \sin\left(d x + c\right)}{128 \, {\left(5 \, d \cos\left(d x + c\right) + 3 \, d\right)}}"," ",0,"-1/128*(3*(5*cos(d*x + c) + 3)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 3*(5*cos(d*x + c) + 3)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*sin(d*x + c))/(5*d*cos(d*x + c) + 3*d)","A",0
48,1,129,0,0.779563," ","integrate(1/(-3-5*cos(d*x+c))^3,x, algorithm=""fricas"")","-\frac{43 \, {\left(25 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 43 \, {\left(25 \, \cos\left(d x + c\right)^{2} + 30 \, \cos\left(d x + c\right) + 9\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, {\left(45 \, \cos\left(d x + c\right) + 11\right)} \sin\left(d x + c\right)}{4096 \, {\left(25 \, d \cos\left(d x + c\right)^{2} + 30 \, d \cos\left(d x + c\right) + 9 \, d\right)}}"," ",0,"-1/4096*(43*(25*cos(d*x + c)^2 + 30*cos(d*x + c) + 9)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 43*(25*cos(d*x + c)^2 + 30*cos(d*x + c) + 9)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*(45*cos(d*x + c) + 11)*sin(d*x + c))/(25*d*cos(d*x + c)^2 + 30*d*cos(d*x + c) + 9*d)","A",0
49,1,170,0,0.604313," ","integrate(1/(-3-5*cos(d*x+c))^4,x, algorithm=""fricas"")","-\frac{837 \, {\left(125 \, \cos\left(d x + c\right)^{3} + 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) + 27\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) + 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 837 \, {\left(125 \, \cos\left(d x + c\right)^{3} + 225 \, \cos\left(d x + c\right)^{2} + 135 \, \cos\left(d x + c\right) + 27\right)} \log\left(\frac{3}{2} \, \cos\left(d x + c\right) - 2 \, \sin\left(d x + c\right) + \frac{5}{2}\right) - 40 \, {\left(4975 \, \cos\left(d x + c\right)^{2} + 4770 \, \cos\left(d x + c\right) + 1583\right)} \sin\left(d x + c\right)}{196608 \, {\left(125 \, d \cos\left(d x + c\right)^{3} + 225 \, d \cos\left(d x + c\right)^{2} + 135 \, d \cos\left(d x + c\right) + 27 \, d\right)}}"," ",0,"-1/196608*(837*(125*cos(d*x + c)^3 + 225*cos(d*x + c)^2 + 135*cos(d*x + c) + 27)*log(3/2*cos(d*x + c) + 2*sin(d*x + c) + 5/2) - 837*(125*cos(d*x + c)^3 + 225*cos(d*x + c)^2 + 135*cos(d*x + c) + 27)*log(3/2*cos(d*x + c) - 2*sin(d*x + c) + 5/2) - 40*(4975*cos(d*x + c)^2 + 4770*cos(d*x + c) + 1583)*sin(d*x + c))/(125*d*cos(d*x + c)^3 + 225*d*cos(d*x + c)^2 + 135*d*cos(d*x + c) + 27*d)","A",0
50,0,0,0,0.882955," ","integrate((a+b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \cos\left(d x + c\right)^{2} + 2 \, a b \cos\left(d x + c\right) + a^{2}\right)} \sqrt{b \cos\left(d x + c\right) + a}, x\right)"," ",0,"integral((b^2*cos(d*x + c)^2 + 2*a*b*cos(d*x + c) + a^2)*sqrt(b*cos(d*x + c) + a), x)","F",0
51,0,0,0,1.140300," ","integrate((a+b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cos\left(d x + c\right) + a\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(3/2), x)","F",0
52,0,0,0,0.730731," ","integrate((a+b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right) + a}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c) + a), x)","F",0
53,0,0,0,0.895828," ","integrate(1/(a+b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b \cos\left(d x + c\right) + a}}, x\right)"," ",0,"integral(1/sqrt(b*cos(d*x + c) + a), x)","F",0
54,0,0,0,0.863413," ","integrate(1/(a+b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right) + a}}{b^{2} \cos\left(d x + c\right)^{2} + 2 \, a b \cos\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c) + a)/(b^2*cos(d*x + c)^2 + 2*a*b*cos(d*x + c) + a^2), x)","F",0
55,0,0,0,0.743024," ","integrate(1/(a+b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right) + a}}{b^{3} \cos\left(d x + c\right)^{3} + 3 \, a b^{2} \cos\left(d x + c\right)^{2} + 3 \, a^{2} b \cos\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c) + a)/(b^3*cos(d*x + c)^3 + 3*a*b^2*cos(d*x + c)^2 + 3*a^2*b*cos(d*x + c) + a^3), x)","F",0
56,0,0,0,1.824847," ","integrate((a+b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(4/3), x)","F",0
57,0,0,0,0.892422," ","integrate((a+b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(2/3), x)","F",0
58,0,0,0,0.617046," ","integrate((a+b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(1/3), x)","F",0
59,0,0,0,0.971563," ","integrate(1/(a+b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(-1/3), x)","F",0
60,0,0,0,0.669627," ","integrate(1/(a+b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(-2/3), x)","F",0
61,0,0,0,0.815713," ","integrate(1/(a+b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)^{2} + 2 \, a b \cos\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^(2/3)/(b^2*cos(d*x + c)^2 + 2*a*b*cos(d*x + c) + a^2), x)","F",0
62,0,0,0,0.777403," ","integrate((a+b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \cos\left(d x + c\right) + a\right)}^{n}, x\right)"," ",0,"integral((b*cos(d*x + c) + a)^n, x)","F",0
