1,1,94,0,0.624872," ","integrate(sin(x)^4/(a+a*cos(x)),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{8 \, \sin\left(x\right)^{3}}{{\left(\cos\left(x\right) + 1\right)}^{3}} - \frac{3 \, \sin\left(x\right)^{5}}{{\left(\cos\left(x\right) + 1\right)}^{5}}}{3 \, {\left(a + \frac{3 \, a \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + \frac{3 \, a \sin\left(x\right)^{4}}{{\left(\cos\left(x\right) + 1\right)}^{4}} + \frac{a \sin\left(x\right)^{6}}{{\left(\cos\left(x\right) + 1\right)}^{6}}\right)}} + \frac{\arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)}{a}"," ",0,"-1/3*(3*sin(x)/(cos(x) + 1) + 8*sin(x)^3/(cos(x) + 1)^3 - 3*sin(x)^5/(cos(x) + 1)^5)/(a + 3*a*sin(x)^2/(cos(x) + 1)^2 + 3*a*sin(x)^4/(cos(x) + 1)^4 + a*sin(x)^6/(cos(x) + 1)^6) + arctan(sin(x)/(cos(x) + 1))/a","B",0
2,1,14,0,0.613964," ","integrate(sin(x)^3/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{\cos\left(x\right)^{2} - 2 \, \cos\left(x\right)}{2 \, a}"," ",0,"1/2*(cos(x)^2 - 2*cos(x))/a","A",0
3,1,42,0,0.842788," ","integrate(sin(x)^2/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)}{a} - \frac{2 \, \sin\left(x\right)}{{\left(a + \frac{a \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}}\right)} {\left(\cos\left(x\right) + 1\right)}}"," ",0,"2*arctan(sin(x)/(cos(x) + 1))/a - 2*sin(x)/((a + a*sin(x)^2/(cos(x) + 1)^2)*(cos(x) + 1))","B",0
4,1,12,0,0.632786," ","integrate(sin(x)/(a+a*cos(x)),x, algorithm=""maxima"")","-\frac{\log\left(a \cos\left(x\right) + a\right)}{a}"," ",0,"-log(a*cos(x) + a)/a","A",0
5,1,12,0,0.677767," ","integrate(1/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{\sin\left(x\right)}{a {\left(\cos\left(x\right) + 1\right)}}"," ",0,"sin(x)/(a*(cos(x) + 1))","A",0
6,1,31,0,0.675434," ","integrate(csc(x)/(a+a*cos(x)),x, algorithm=""maxima"")","-\frac{\log\left(\cos\left(x\right) + 1\right)}{4 \, a} + \frac{\log\left(\cos\left(x\right) - 1\right)}{4 \, a} + \frac{1}{2 \, {\left(a \cos\left(x\right) + a\right)}}"," ",0,"-1/4*log(cos(x) + 1)/a + 1/4*log(cos(x) - 1)/a + 1/2/(a*cos(x) + a)","A",0
7,1,41,0,0.618467," ","integrate(csc(x)^2/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{\frac{6 \, \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{\sin\left(x\right)^{3}}{{\left(\cos\left(x\right) + 1\right)}^{3}}}{12 \, a} - \frac{\cos\left(x\right) + 1}{4 \, a \sin\left(x\right)}"," ",0,"1/12*(6*sin(x)/(cos(x) + 1) + sin(x)^3/(cos(x) + 1)^3)/a - 1/4*(cos(x) + 1)/(a*sin(x))","B",0
8,1,58,0,1.159538," ","integrate(csc(x)^3/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{3 \, \cos\left(x\right)^{2} + 3 \, \cos\left(x\right) - 2}{8 \, {\left(a \cos\left(x\right)^{3} + a \cos\left(x\right)^{2} - a \cos\left(x\right) - a\right)}} - \frac{3 \, \log\left(\cos\left(x\right) + 1\right)}{16 \, a} + \frac{3 \, \log\left(\cos\left(x\right) - 1\right)}{16 \, a}"," ",0,"1/8*(3*cos(x)^2 + 3*cos(x) - 2)/(a*cos(x)^3 + a*cos(x)^2 - a*cos(x) - a) - 3/16*log(cos(x) + 1)/a + 3/16*log(cos(x) - 1)/a","A",0
9,1,70,0,0.544039," ","integrate(csc(x)^4/(a+a*cos(x)),x, algorithm=""maxima"")","\frac{\frac{90 \, \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{20 \, \sin\left(x\right)^{3}}{{\left(\cos\left(x\right) + 1\right)}^{3}} + \frac{3 \, \sin\left(x\right)^{5}}{{\left(\cos\left(x\right) + 1\right)}^{5}}}{240 \, a} - \frac{{\left(\frac{12 \, \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}^{3}}{48 \, a \sin\left(x\right)^{3}}"," ",0,"1/240*(90*sin(x)/(cos(x) + 1) + 20*sin(x)^3/(cos(x) + 1)^3 + 3*sin(x)^5/(cos(x) + 1)^5)/a - 1/48*(12*sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1)^3/(a*sin(x)^3)","B",0
10,1,9,0,0.469605," ","integrate(sin(2*x)/(1+cos(2*x)),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(\cos\left(2 \, x\right) + 1\right)"," ",0,"-1/2*log(cos(2*x) + 1)","A",0
11,1,9,0,0.306919," ","integrate(sin(2*x)/(1-cos(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\cos\left(2 \, x\right) - 1\right)"," ",0,"1/2*log(cos(2*x) - 1)","B",0
12,1,6,0,0.603197," ","integrate(sin(x)/(1+cos(x))^2,x, algorithm=""maxima"")","\frac{1}{\cos\left(x\right) + 1}"," ",0,"1/(cos(x) + 1)","A",0
13,1,6,0,0.759455," ","integrate(sin(x)/(1-cos(x))^2,x, algorithm=""maxima"")","\frac{1}{\cos\left(x\right) - 1}"," ",0,"1/(cos(x) - 1)","A",0
14,1,23,0,0.909747," ","integrate(sin(x)^2/(1+cos(x))^2,x, algorithm=""maxima"")","\frac{2 \, \sin\left(x\right)}{\cos\left(x\right) + 1} - 2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)"," ",0,"2*sin(x)/(cos(x) + 1) - 2*arctan(sin(x)/(cos(x) + 1))","A",0
15,1,23,0,1.137153," ","integrate(sin(x)^2/(1-cos(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(\cos\left(x\right) + 1\right)}}{\sin\left(x\right)} - 2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)"," ",0,"-2*(cos(x) + 1)/sin(x) - 2*arctan(sin(x)/(cos(x) + 1))","A",0
16,1,10,0,0.569444," ","integrate(sin(x)^3/(1+cos(x))^2,x, algorithm=""maxima"")","\cos\left(x\right) - 2 \, \log\left(\cos\left(x\right) + 1\right)"," ",0,"cos(x) - 2*log(cos(x) + 1)","A",0
17,1,10,0,0.295413," ","integrate(sin(x)^3/(1-cos(x))^2,x, algorithm=""maxima"")","\cos\left(x\right) + 2 \, \log\left(\cos\left(x\right) - 1\right)"," ",0,"cos(x) + 2*log(cos(x) - 1)","A",0
18,1,8,0,1.208539," ","integrate(sin(x)/(1+cos(x))^3,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(\cos\left(x\right) + 1\right)}^{2}}"," ",0,"1/2/(cos(x) + 1)^2","A",0
19,1,8,0,0.497647," ","integrate(sin(x)/(1-cos(x))^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(\cos\left(x\right) - 1\right)}^{2}}"," ",0,"-1/2/(cos(x) - 1)^2","A",0
20,1,12,0,0.617891," ","integrate(sin(x)^2/(1+cos(x))^3,x, algorithm=""maxima"")","\frac{\sin\left(x\right)^{3}}{3 \, {\left(\cos\left(x\right) + 1\right)}^{3}}"," ",0,"1/3*sin(x)^3/(cos(x) + 1)^3","A",0
21,1,12,0,0.296535," ","integrate(sin(x)^2/(1-cos(x))^3,x, algorithm=""maxima"")","-\frac{{\left(\cos\left(x\right) + 1\right)}^{3}}{3 \, \sin\left(x\right)^{3}}"," ",0,"-1/3*(cos(x) + 1)^3/sin(x)^3","A",0
22,1,14,0,0.457461," ","integrate(sin(x)^3/(1+cos(x))^3,x, algorithm=""maxima"")","\frac{2}{\cos\left(x\right) + 1} + \log\left(\cos\left(x\right) + 1\right)"," ",0,"2/(cos(x) + 1) + log(cos(x) + 1)","A",0
23,1,16,0,0.764726," ","integrate(sin(x)^3/(1-cos(x))^3,x, algorithm=""maxima"")","\frac{2}{\cos\left(x\right) - 1} - \log\left(\cos\left(x\right) - 1\right)"," ",0,"2/(cos(x) - 1) - log(cos(x) - 1)","A",0
24,-2,0,0,0.000000," ","integrate(sin(x)^4/(a+b*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
25,1,38,0,0.293887," ","integrate(sin(x)^3/(a+b*cos(x)),x, algorithm=""maxima"")","\frac{b \cos\left(x\right)^{2} - 2 \, a \cos\left(x\right)}{2 \, b^{2}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(b \cos\left(x\right) + a\right)}{b^{3}}"," ",0,"1/2*(b*cos(x)^2 - 2*a*cos(x))/b^2 + (a^2 - b^2)*log(b*cos(x) + a)/b^3","A",0
26,-2,0,0,0.000000," ","integrate(sin(x)^2/(a+b*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
27,1,12,0,0.473067," ","integrate(sin(x)/(a+b*cos(x)),x, algorithm=""maxima"")","-\frac{\log\left(b \cos\left(x\right) + a\right)}{b}"," ",0,"-log(b*cos(x) + a)/b","A",0
28,-2,0,0,0.000000," ","integrate(1/(a+b*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
29,1,47,0,0.333630," ","integrate(csc(x)/(a+b*cos(x)),x, algorithm=""maxima"")","\frac{b \log\left(b \cos\left(x\right) + a\right)}{a^{2} - b^{2}} - \frac{\log\left(\cos\left(x\right) + 1\right)}{2 \, {\left(a - b\right)}} + \frac{\log\left(\cos\left(x\right) - 1\right)}{2 \, {\left(a + b\right)}}"," ",0,"b*log(b*cos(x) + a)/(a^2 - b^2) - 1/2*log(cos(x) + 1)/(a - b) + 1/2*log(cos(x) - 1)/(a + b)","A",0
30,-2,0,0,0.000000," ","integrate(csc(x)^2/(a+b*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
31,1,115,0,0.697791," ","integrate(csc(x)^3/(a+b*cos(x)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(b \cos\left(x\right) + a\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(a - 2 \, b\right)} \log\left(\cos\left(x\right) + 1\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{{\left(a + 2 \, b\right)} \log\left(\cos\left(x\right) - 1\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{a \cos\left(x\right) - b}{2 \, {\left({\left(a^{2} - b^{2}\right)} \cos\left(x\right)^{2} - a^{2} + b^{2}\right)}}"," ",0,"-b^3*log(b*cos(x) + a)/(a^4 - 2*a^2*b^2 + b^4) - 1/4*(a - 2*b)*log(cos(x) + 1)/(a^2 - 2*a*b + b^2) + 1/4*(a + 2*b)*log(cos(x) - 1)/(a^2 + 2*a*b + b^2) + 1/2*(a*cos(x) - b)/((a^2 - b^2)*cos(x)^2 - a^2 + b^2)","A",0
32,-2,0,0,0.000000," ","integrate(csc(x)^4/(a+b*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
33,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))*(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)} \left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)*(e*sin(d*x + c))^(7/2), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))*(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)} \left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)*(e*sin(d*x + c))^(5/2), x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))*(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)} \left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)*(e*sin(d*x + c))^(3/2), x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))*(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)} \sqrt{e \sin\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)*sqrt(e*sin(d*x + c)), x)","F",0
37,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{b \cos\left(d x + c\right) + a}{\sqrt{e \sin\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)/sqrt(e*sin(d*x + c)), x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{b \cos\left(d x + c\right) + a}{\left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)/(e*sin(d*x + c))^(3/2), x)","F",0
39,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{b \cos\left(d x + c\right) + a}{\left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)/(e*sin(d*x + c))^(5/2), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{b \cos\left(d x + c\right) + a}{\left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)/(e*sin(d*x + c))^(7/2), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2*(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{2} \left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2*(e*sin(d*x + c))^(7/2), x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2*(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{2} \left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2*(e*sin(d*x + c))^(5/2), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2*(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{2} \left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2*(e*sin(d*x + c))^(3/2), x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2*(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{2} \sqrt{e \sin\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2*sqrt(e*sin(d*x + c)), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}{\sqrt{e \sin\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2/sqrt(e*sin(d*x + c)), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}{\left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2/(e*sin(d*x + c))^(3/2), x)","F",0
47,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}{\left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2/(e*sin(d*x + c))^(5/2), x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}{\left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^2/(e*sin(d*x + c))^(7/2), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3*(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{3} \left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3*(e*sin(d*x + c))^(7/2), x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3*(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{3} \left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3*(e*sin(d*x + c))^(5/2), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3*(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{3} \left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3*(e*sin(d*x + c))^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3*(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int {\left(b \cos\left(d x + c\right) + a\right)}^{3} \sqrt{e \sin\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3*sqrt(e*sin(d*x + c)), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{3}}{\sqrt{e \sin\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3/sqrt(e*sin(d*x + c)), x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{3}}{\left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3/(e*sin(d*x + c))^(3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{3}}{\left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3/(e*sin(d*x + c))^(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{3}}{\left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3/(e*sin(d*x + c))^(7/2), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(b \cos\left(d x + c\right) + a\right)}^{3}}{\left(e \sin\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*cos(d*x + c) + a)^3/(e*sin(d*x + c))^(9/2), x)","F",0
58,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(11/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{11}{2}}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(11/2)/(b*cos(d*x + c) + a), x)","F",0
59,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(9/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{9}{2}}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(9/2)/(b*cos(d*x + c) + a), x)","F",0
60,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(7/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(7/2)/(b*cos(d*x + c) + a), x)","F",0
61,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(5/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(5/2)/(b*cos(d*x + c) + a), x)","F",0
62,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(3/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(3/2)/(b*cos(d*x + c) + a), x)","F",0
63,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(1/2)/(a+b*cos(d*x+c)),x, algorithm=""maxima"")","\int \frac{\sqrt{e \sin\left(d x + c\right)}}{b \cos\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(e*sin(d*x + c))/(b*cos(d*x + c) + a), x)","F",0
64,0,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \cos\left(d x + c\right) + a\right)} \sqrt{e \sin\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*cos(d*x + c) + a)*sqrt(e*sin(d*x + c))), x)","F",0
65,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(11/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(9/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(7/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{7}{2}}}{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(7/2)/(b*cos(d*x + c) + a)^2, x)","F",0
71,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(5/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{5}{2}}}{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(5/2)/(b*cos(d*x + c) + a)^2, x)","F",0
72,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(3/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\int \frac{\left(e \sin\left(d x + c\right)\right)^{\frac{3}{2}}}{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*sin(d*x + c))^(3/2)/(b*cos(d*x + c) + a)^2, x)","F",0
73,0,0,0,0.000000," ","integrate((e*sin(d*x+c))^(1/2)/(a+b*cos(d*x+c))^2,x, algorithm=""maxima"")","\int \frac{\sqrt{e \sin\left(d x + c\right)}}{{\left(b \cos\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*sin(d*x + c))/(b*cos(d*x + c) + a)^2, x)","F",0
74,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^2/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(13/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(11/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(9/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(7/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(5/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(3/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate((e*sin(d*x+c))^(1/2)/(a+b*cos(d*x+c))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,-1,0,0,0.000000," ","integrate(1/(a+b*cos(d*x+c))^3/(e*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
