1,1,77,0,1.435559," ","integrate((a+a*cos(d*x+c))^(7/2),x, algorithm=""maxima"")","\frac{{\left(5 \, \sqrt{2} a^{3} \sin\left(\frac{7}{2} \, d x + \frac{7}{2} \, c\right) + 49 \, \sqrt{2} a^{3} \sin\left(\frac{5}{2} \, d x + \frac{5}{2} \, c\right) + 245 \, \sqrt{2} a^{3} \sin\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right) + 1225 \, \sqrt{2} a^{3} \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} \sqrt{a}}{140 \, d}"," ",0,"1/140*(5*sqrt(2)*a^3*sin(7/2*d*x + 7/2*c) + 49*sqrt(2)*a^3*sin(5/2*d*x + 5/2*c) + 245*sqrt(2)*a^3*sin(3/2*d*x + 3/2*c) + 1225*sqrt(2)*a^3*sin(1/2*d*x + 1/2*c))*sqrt(a)/d","A",0
2,1,60,0,1.483739," ","integrate((a+a*cos(d*x+c))^(5/2),x, algorithm=""maxima"")","\frac{{\left(3 \, \sqrt{2} a^{2} \sin\left(\frac{5}{2} \, d x + \frac{5}{2} \, c\right) + 25 \, \sqrt{2} a^{2} \sin\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right) + 150 \, \sqrt{2} a^{2} \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} \sqrt{a}}{30 \, d}"," ",0,"1/30*(3*sqrt(2)*a^2*sin(5/2*d*x + 5/2*c) + 25*sqrt(2)*a^2*sin(3/2*d*x + 3/2*c) + 150*sqrt(2)*a^2*sin(1/2*d*x + 1/2*c))*sqrt(a)/d","A",0
3,1,38,0,1.073907," ","integrate((a+a*cos(d*x+c))^(3/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{2} a \sin\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right) + 9 \, \sqrt{2} a \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} \sqrt{a}}{3 \, d}"," ",0,"1/3*(sqrt(2)*a*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*a*sin(1/2*d*x + 1/2*c))*sqrt(a)/d","A",0
4,1,20,0,1.034357," ","integrate((a+a*cos(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} \sqrt{a} \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{d}"," ",0,"2*sqrt(2)*sqrt(a)*sin(1/2*d*x + 1/2*c)/d","A",0
5,1,90,0,1.523250," ","integrate(1/(a+a*cos(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{2} \log\left(\cos\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 2 \, \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - \sqrt{2} \log\left(\cos\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2 \, \sin\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}{2 \, \sqrt{a} d}"," ",0,"1/2*(sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 + 2*sin(1/2*d*x + 1/2*c) + 1) - sqrt(2)*log(cos(1/2*d*x + 1/2*c)^2 + sin(1/2*d*x + 1/2*c)^2 - 2*sin(1/2*d*x + 1/2*c) + 1))/(sqrt(a)*d)","B",0
6,-1,0,0,0.000000," ","integrate(1/(a+a*cos(d*x+c))^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(1/(a+a*cos(d*x+c))^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate((a+a*cos(d*x+c))^(4/3),x, algorithm=""maxima"")","\int {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(4/3), x)","F",0
9,0,0,0,0.000000," ","integrate((a+a*cos(d*x+c))^(2/3),x, algorithm=""maxima"")","\int {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(2/3), x)","F",0
10,0,0,0,0.000000," ","integrate((a+a*cos(d*x+c))^(1/3),x, algorithm=""maxima"")","\int {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(1/3), x)","F",0
11,0,0,0,0.000000," ","integrate(1/(a+a*cos(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(-1/3), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(a+a*cos(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(-2/3), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(a+a*cos(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^(-4/3), x)","F",0
14,0,0,0,0.000000," ","integrate((a+a*cos(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(a \cos\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((a*cos(d*x + c) + a)^n, x)","F",0
15,0,0,0,0.000000," ","integrate((a-a*cos(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-a \cos\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((-a*cos(d*x + c) + a)^n, x)","F",0
16,0,0,0,0.000000," ","integrate((2+2*cos(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(2 \, \cos\left(d x + c\right) + 2\right)}^{n}\,{d x}"," ",0,"integrate((2*cos(d*x + c) + 2)^n, x)","F",0
17,0,0,0,0.000000," ","integrate((2-2*cos(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-2 \, \cos\left(d x + c\right) + 2\right)}^{n}\,{d x}"," ",0,"integrate((-2*cos(d*x + c) + 2)^n, x)","F",0
18,1,24,0,1.272267," ","integrate(1/(5+3*cos(d*x+c)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{2 \, d}"," ",0,"1/2*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1))/d","A",0
19,1,68,0,1.352941," ","integrate(1/(5+3*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{6 \, \sin\left(d x + c\right)}{{\left(\frac{\sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 4\right)} {\left(\cos\left(d x + c\right) + 1\right)}} - 5 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{32 \, d}"," ",0,"-1/32*(6*sin(d*x + c)/((sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 4)*(cos(d*x + c) + 1)) - 5*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
20,1,111,0,1.155656," ","integrate(1/(5+3*cos(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{6 \, {\left(\frac{68 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{23 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{\sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 16} - 59 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{1024 \, d}"," ",0,"-1/1024*(6*(68*sin(d*x + c)/(cos(d*x + c) + 1) + 23*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 16) - 59*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
21,1,151,0,1.214054," ","integrate(1/(5+3*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{18 \, {\left(\frac{656 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{416 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{71 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{48 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{12 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{\sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 64} - 385 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{16384 \, d}"," ",0,"-1/16384*(18*(656*sin(d*x + c)/(cos(d*x + c) + 1) + 416*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 71*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(48*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 12*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 64) - 385*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
22,1,24,0,1.686866," ","integrate(1/(5-3*cos(d*x+c)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{2 \, d}"," ",0,"1/2*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1))/d","A",0
23,1,69,0,1.375255," ","integrate(1/(5-3*cos(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{6 \, \sin\left(d x + c\right)}{{\left(\frac{4 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(d x + c\right) + 1\right)}} + 5 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{32 \, d}"," ",0,"1/32*(6*sin(d*x + c)/((4*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1)*(cos(d*x + c) + 1)) + 5*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
24,1,112,0,1.289569," ","integrate(1/(5-3*cos(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{6 \, {\left(\frac{23 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{68 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{16 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 1} + 59 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{1024 \, d}"," ",0,"1/1024*(6*(23*sin(d*x + c)/(cos(d*x + c) + 1) + 68*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 16*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 1) + 59*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
25,1,152,0,2.131701," ","integrate(1/(5-3*cos(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{18 \, {\left(\frac{71 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{416 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{656 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{12 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{48 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{64 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 1} + 385 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{16384 \, d}"," ",0,"1/16384*(18*(71*sin(d*x + c)/(cos(d*x + c) + 1) + 416*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 656*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(12*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 48*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 64*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 1) + 385*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
26,1,24,0,1.386158," ","integrate(1/(-5+3*cos(d*x+c)),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{2 \, d}"," ",0,"-1/2*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1))/d","A",0
27,1,69,0,1.238950," ","integrate(1/(-5+3*cos(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{6 \, \sin\left(d x + c\right)}{{\left(\frac{4 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(d x + c\right) + 1\right)}} + 5 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{32 \, d}"," ",0,"1/32*(6*sin(d*x + c)/((4*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1)*(cos(d*x + c) + 1)) + 5*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
28,1,112,0,1.061754," ","integrate(1/(-5+3*cos(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{6 \, {\left(\frac{23 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{68 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{16 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 1} + 59 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{1024 \, d}"," ",0,"-1/1024*(6*(23*sin(d*x + c)/(cos(d*x + c) + 1) + 68*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 16*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 1) + 59*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
29,1,152,0,0.682764," ","integrate(1/(-5+3*cos(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{18 \, {\left(\frac{71 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{416 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{656 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{12 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{48 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{64 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 1} + 385 \, \arctan\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1}\right)}{16384 \, d}"," ",0,"1/16384*(18*(71*sin(d*x + c)/(cos(d*x + c) + 1) + 416*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 656*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(12*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 48*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 64*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 1) + 385*arctan(2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
30,1,24,0,1.504711," ","integrate(1/(-5-3*cos(d*x+c)),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{2 \, d}"," ",0,"-1/2*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1))/d","A",0
31,1,68,0,1.426636," ","integrate(1/(-5-3*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{6 \, \sin\left(d x + c\right)}{{\left(\frac{\sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 4\right)} {\left(\cos\left(d x + c\right) + 1\right)}} - 5 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{32 \, d}"," ",0,"-1/32*(6*sin(d*x + c)/((sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 4)*(cos(d*x + c) + 1)) - 5*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
32,1,111,0,1.264919," ","integrate(1/(-5-3*cos(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{6 \, {\left(\frac{68 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{23 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{\sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 16} - 59 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{1024 \, d}"," ",0,"1/1024*(6*(68*sin(d*x + c)/(cos(d*x + c) + 1) + 23*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 16) - 59*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
33,1,151,0,1.967472," ","integrate(1/(-5-3*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{18 \, {\left(\frac{656 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{416 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{71 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{48 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{12 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{\sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 64} - 385 \, \arctan\left(\frac{\sin\left(d x + c\right)}{2 \, {\left(\cos\left(d x + c\right) + 1\right)}}\right)}{16384 \, d}"," ",0,"-1/16384*(18*(656*sin(d*x + c)/(cos(d*x + c) + 1) + 416*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 71*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(48*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 12*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 64) - 385*arctan(1/2*sin(d*x + c)/(cos(d*x + c) + 1)))/d","A",0
34,1,48,0,0.295947," ","integrate(1/(3+5*cos(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{4 \, d}"," ",0,"1/4*(log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
35,1,91,0,0.300480," ","integrate(1/(3+5*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{20 \, \sin\left(d x + c\right)}{{\left(\frac{\sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 4\right)} {\left(\cos\left(d x + c\right) + 1\right)}} + 3 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 3 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{64 \, d}"," ",0,"-1/64*(20*sin(d*x + c)/((sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 4)*(cos(d*x + c) + 1)) + 3*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 3*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
36,1,135,0,0.822769," ","integrate(1/(3+5*cos(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{20 \, {\left(\frac{28 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{17 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{\sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 16} + 43 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 43 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{2048 \, d}"," ",0,"1/2048*(20*(28*sin(d*x + c)/(cos(d*x + c) + 1) - 17*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 16) + 43*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 43*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
37,1,174,0,0.955441," ","integrate(1/(3+5*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{2832 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1696 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{447 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{48 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{12 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{\sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 64} + 837 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 837 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{98304 \, d}"," ",0,"-1/98304*(20*(2832*sin(d*x + c)/(cos(d*x + c) + 1) - 1696*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 447*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(48*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 12*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 64) + 837*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 837*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
38,1,50,0,1.270229," ","integrate(1/(3-5*cos(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{4 \, d}"," ",0,"-1/4*(log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
39,1,94,0,0.990660," ","integrate(1/(3-5*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{20 \, \sin\left(d x + c\right)}{{\left(\frac{4 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(d x + c\right) + 1\right)}} - 3 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 3 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{64 \, d}"," ",0,"-1/64*(20*sin(d*x + c)/((4*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 1)*(cos(d*x + c) + 1)) - 3*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 3*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
40,1,137,0,0.669036," ","integrate(1/(3-5*cos(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{20 \, {\left(\frac{17 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{28 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{16 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 1} - 43 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 43 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{2048 \, d}"," ",0,"1/2048*(20*(17*sin(d*x + c)/(cos(d*x + c) + 1) - 28*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 16*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 1) - 43*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 43*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
41,1,177,0,1.376336," ","integrate(1/(3-5*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{447 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1696 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{2832 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{12 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{48 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{64 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 1} - 837 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 837 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{98304 \, d}"," ",0,"-1/98304*(20*(447*sin(d*x + c)/(cos(d*x + c) + 1) - 1696*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 2832*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(12*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 48*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 64*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 1) - 837*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 837*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
42,1,50,0,1.019570," ","integrate(1/(-3+5*cos(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{4 \, d}"," ",0,"1/4*(log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
43,1,94,0,0.296032," ","integrate(1/(-3+5*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{20 \, \sin\left(d x + c\right)}{{\left(\frac{4 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(d x + c\right) + 1\right)}} - 3 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 3 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{64 \, d}"," ",0,"-1/64*(20*sin(d*x + c)/((4*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 1)*(cos(d*x + c) + 1)) - 3*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 3*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
44,1,137,0,0.596324," ","integrate(1/(-3+5*cos(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{17 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{28 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{16 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 1} - 43 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 43 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{2048 \, d}"," ",0,"-1/2048*(20*(17*sin(d*x + c)/(cos(d*x + c) + 1) - 28*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 16*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 1) - 43*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 43*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
45,1,177,0,1.112738," ","integrate(1/(-3+5*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{447 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1696 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{2832 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{12 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{48 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{64 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 1} - 837 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) + 837 \, \log\left(\frac{2 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right)}{98304 \, d}"," ",0,"-1/98304*(20*(447*sin(d*x + c)/(cos(d*x + c) + 1) - 1696*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 2832*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(12*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 48*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 64*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 1) - 837*log(2*sin(d*x + c)/(cos(d*x + c) + 1) + 1) + 837*log(2*sin(d*x + c)/(cos(d*x + c) + 1) - 1))/d","A",0
46,1,48,0,1.385746," ","integrate(1/(-3-5*cos(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{4 \, d}"," ",0,"-1/4*(log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
47,1,91,0,0.300294," ","integrate(1/(-3-5*cos(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{20 \, \sin\left(d x + c\right)}{{\left(\frac{\sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 4\right)} {\left(\cos\left(d x + c\right) + 1\right)}} + 3 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 3 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{64 \, d}"," ",0,"-1/64*(20*sin(d*x + c)/((sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 4)*(cos(d*x + c) + 1)) + 3*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 3*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
48,1,135,0,0.877998," ","integrate(1/(-3-5*cos(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{28 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{17 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}}\right)}}{\frac{8 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{\sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 16} + 43 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 43 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{2048 \, d}"," ",0,"-1/2048*(20*(28*sin(d*x + c)/(cos(d*x + c) + 1) - 17*sin(d*x + c)^3/(cos(d*x + c) + 1)^3)/(8*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 16) + 43*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 43*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
49,1,174,0,0.939969," ","integrate(1/(-3-5*cos(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(\frac{2832 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1696 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{447 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}}\right)}}{\frac{48 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{12 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{\sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 64} + 837 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 2\right) - 837 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 2\right)}{98304 \, d}"," ",0,"-1/98304*(20*(2832*sin(d*x + c)/(cos(d*x + c) + 1) - 1696*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 447*sin(d*x + c)^5/(cos(d*x + c) + 1)^5)/(48*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 12*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 64) + 837*log(sin(d*x + c)/(cos(d*x + c) + 1) + 2) - 837*log(sin(d*x + c)/(cos(d*x + c) + 1) - 2))/d","A",0
50,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(5/2), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*cos(d*x + c) + a), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \cos\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*cos(d*x + c) + a), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(-3/2), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(-5/2), x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(4/3),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(4/3), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(2/3),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(2/3), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^(1/3),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(1/3), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(-1/3), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(-2/3), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^(-4/3), x)","F",0
62,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^n, x)","F",0
