1,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{7}{2}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(7/2), x)","F",0
2,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(5/2), x)","F",0
3,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(3/2), x)","F",0
4,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(a*sin(d*x + c) + a), x)","F",0
5,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a \sin\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(a*sin(d*x + c) + a), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(-3/2), x)","F",0
7,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(-5/2), x)","F",0
8,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(4/3),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(4/3), x)","F",0
9,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(2/3),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(2/3), x)","F",0
10,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(1/3),x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(1/3), x)","F",0
11,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(-1/3), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(-2/3), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(a+a*sin(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(-4/3), x)","F",0
14,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(a \sin\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^n, x)","F",0
15,0,0,0,0.000000," ","integrate((a-a*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-a \sin\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((-a*sin(d*x + c) + a)^n, x)","F",0
16,0,0,0,0.000000," ","integrate((2+2*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(2 \, \sin\left(d x + c\right) + 2\right)}^{n}\,{d x}"," ",0,"integrate((2*sin(d*x + c) + 2)^n, x)","F",0
17,0,0,0,0.000000," ","integrate((2-2*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-2 \, \sin\left(d x + c\right) + 2\right)}^{n}\,{d x}"," ",0,"integrate((-2*sin(d*x + c) + 2)^n, x)","F",0
18,1,26,0,0.802417," ","integrate(1/(5+3*sin(d*x+c)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{2 \, d}"," ",0,"1/2*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4)/d","A",0
19,1,93,0,0.511869," ","integrate(1/(5+3*sin(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 5\right)}}{\frac{6 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{5 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 5} + 25 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{160 \, d}"," ",0,"1/160*(12*(3*sin(d*x + c)/(cos(d*x + c) + 1) + 5)/(6*sin(d*x + c)/(cos(d*x + c) + 1) + 5*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 5) + 25*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","A",0
20,1,173,0,0.541705," ","integrate(1/(5+3*sin(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(\frac{3855 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{3913 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1605 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + 2275\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{86 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{25 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 25} + 1475 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{25600 \, d}"," ",0,"1/25600*(12*(3855*sin(d*x + c)/(cos(d*x + c) + 1) + 3913*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1605*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 2275)/(60*sin(d*x + c)/(cos(d*x + c) + 1) + 86*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 25*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 25) + 1475*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","B",0
21,1,253,0,0.728642," ","integrate(1/(5+3*sin(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{36 \, {\left(\frac{403425 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{672110 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{637794 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{373735 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{110925 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + 142875\right)}}{\frac{450 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{915 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1116 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{915 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{450 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + \frac{125 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 125} + 48125 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{2048000 \, d}"," ",0,"1/2048000*(36*(403425*sin(d*x + c)/(cos(d*x + c) + 1) + 672110*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 637794*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 373735*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 110925*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 142875)/(450*sin(d*x + c)/(cos(d*x + c) + 1) + 915*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1116*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 915*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 450*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 125*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 125) + 48125*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","B",0
22,1,26,0,0.474807," ","integrate(1/(5-3*sin(d*x+c)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{2 \, d}"," ",0,"1/2*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4)/d","A",0
23,1,93,0,0.677917," ","integrate(1/(5-3*sin(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 5\right)}}{\frac{6 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{5 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 5} - 25 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{160 \, d}"," ",0,"-1/160*(12*(3*sin(d*x + c)/(cos(d*x + c) + 1) - 5)/(6*sin(d*x + c)/(cos(d*x + c) + 1) - 5*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 5) - 25*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","A",0
24,1,173,0,0.544142," ","integrate(1/(5-3*sin(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left(\frac{3855 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{3913 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1605 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - 2275\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{86 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{25 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 25} - 1475 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{25600 \, d}"," ",0,"-1/25600*(12*(3855*sin(d*x + c)/(cos(d*x + c) + 1) - 3913*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1605*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 2275)/(60*sin(d*x + c)/(cos(d*x + c) + 1) - 86*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 25*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 25) - 1475*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","B",0
25,1,253,0,0.547311," ","integrate(1/(5-3*sin(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{36 \, {\left(\frac{403425 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{672110 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{637794 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{373735 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{110925 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - 142875\right)}}{\frac{450 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{915 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1116 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{915 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{450 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - \frac{125 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 125} - 48125 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{2048000 \, d}"," ",0,"-1/2048000*(36*(403425*sin(d*x + c)/(cos(d*x + c) + 1) - 672110*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 637794*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 373735*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 110925*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 142875)/(450*sin(d*x + c)/(cos(d*x + c) + 1) - 915*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1116*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 915*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 450*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 125*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 125) - 48125*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","B",0
26,1,26,0,0.770436," ","integrate(1/(-5+3*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{2 \, d}"," ",0,"-1/2*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4)/d","A",0
27,1,93,0,0.523539," ","integrate(1/(-5+3*sin(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 5\right)}}{\frac{6 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{5 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 5} - 25 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{160 \, d}"," ",0,"-1/160*(12*(3*sin(d*x + c)/(cos(d*x + c) + 1) - 5)/(6*sin(d*x + c)/(cos(d*x + c) + 1) - 5*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 5) - 25*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","A",0
28,1,173,0,0.469512," ","integrate(1/(-5+3*sin(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(\frac{3855 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{3913 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1605 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - 2275\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{86 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{25 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 25} - 1475 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{25600 \, d}"," ",0,"1/25600*(12*(3855*sin(d*x + c)/(cos(d*x + c) + 1) - 3913*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1605*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 2275)/(60*sin(d*x + c)/(cos(d*x + c) + 1) - 86*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 25*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 25) - 1475*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","B",0
29,1,253,0,0.736425," ","integrate(1/(-5+3*sin(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{36 \, {\left(\frac{403425 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{672110 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{637794 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{373735 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{110925 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - 142875\right)}}{\frac{450 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{915 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1116 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{915 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{450 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - \frac{125 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 125} - 48125 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} - \frac{3}{4}\right)}{2048000 \, d}"," ",0,"-1/2048000*(36*(403425*sin(d*x + c)/(cos(d*x + c) + 1) - 672110*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 637794*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 373735*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 110925*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 142875)/(450*sin(d*x + c)/(cos(d*x + c) + 1) - 915*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1116*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 915*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 450*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 125*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 125) - 48125*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) - 3/4))/d","B",0
30,1,26,0,0.440869," ","integrate(1/(-5-3*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{2 \, d}"," ",0,"-1/2*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4)/d","A",0
31,1,93,0,0.417065," ","integrate(1/(-5-3*sin(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{12 \, {\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 5\right)}}{\frac{6 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{5 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 5} + 25 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{160 \, d}"," ",0,"1/160*(12*(3*sin(d*x + c)/(cos(d*x + c) + 1) + 5)/(6*sin(d*x + c)/(cos(d*x + c) + 1) + 5*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 5) + 25*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","A",0
32,1,173,0,0.704296," ","integrate(1/(-5-3*sin(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left(\frac{3855 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{3913 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1605 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + 2275\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{86 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{25 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 25} + 1475 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{25600 \, d}"," ",0,"-1/25600*(12*(3855*sin(d*x + c)/(cos(d*x + c) + 1) + 3913*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1605*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 2275)/(60*sin(d*x + c)/(cos(d*x + c) + 1) + 86*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 25*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 25) + 1475*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","B",0
33,1,253,0,0.545023," ","integrate(1/(-5-3*sin(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{36 \, {\left(\frac{403425 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{672110 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{637794 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{373735 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{110925 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + 142875\right)}}{\frac{450 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{915 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1116 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{915 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{450 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + \frac{125 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 125} + 48125 \, \arctan\left(\frac{5 \, \sin\left(d x + c\right)}{4 \, {\left(\cos\left(d x + c\right) + 1\right)}} + \frac{3}{4}\right)}{2048000 \, d}"," ",0,"1/2048000*(36*(403425*sin(d*x + c)/(cos(d*x + c) + 1) + 672110*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 637794*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 373735*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 110925*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 142875)/(450*sin(d*x + c)/(cos(d*x + c) + 1) + 915*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1116*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 915*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 450*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 125*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 125) + 48125*arctan(5/4*sin(d*x + c)/(cos(d*x + c) + 1) + 3/4))/d","B",0
34,1,49,0,0.448356," ","integrate(1/(3+5*sin(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{4 \, d}"," ",0,"1/4*(log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
35,1,115,0,0.319211," ","integrate(1/(3+5*sin(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{5 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}}{\frac{10 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{3 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 3} + 9 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 9 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{192 \, d}"," ",0,"-1/192*(40*(5*sin(d*x + c)/(cos(d*x + c) + 1) + 3)/(10*sin(d*x + c)/(cos(d*x + c) + 1) + 3*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 3) + 9*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 9*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
36,1,195,0,0.307021," ","integrate(1/(3+5*sin(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{735 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{649 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{75 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + 99\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{118 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{9 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 9} + 387 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 387 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{18432 \, d}"," ",0,"1/18432*(40*(735*sin(d*x + c)/(cos(d*x + c) + 1) + 649*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 75*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 99)/(60*sin(d*x + c)/(cos(d*x + c) + 1) + 118*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 9*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 9) + 387*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 387*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
37,1,275,0,0.363336," ","integrate(1/(3+5*sin(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{342495 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{1066482 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1218910 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{486441 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{84915 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + 42741\right)}}{\frac{270 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{981 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1540 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{981 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{270 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + \frac{27 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 27} + 22599 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 22599 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{2654208 \, d}"," ",0,"-1/2654208*(40*(342495*sin(d*x + c)/(cos(d*x + c) + 1) + 1066482*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1218910*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 486441*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 84915*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 42741)/(270*sin(d*x + c)/(cos(d*x + c) + 1) + 981*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1540*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 981*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 270*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 27*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 27) + 22599*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 22599*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","B",0
38,1,49,0,0.423877," ","integrate(1/(3-5*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{4 \, d}"," ",0,"-1/4*(log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
39,1,115,0,0.455440," ","integrate(1/(3-5*sin(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{5 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}}{\frac{10 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{3 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 3} + 9 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 9 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{192 \, d}"," ",0,"1/192*(40*(5*sin(d*x + c)/(cos(d*x + c) + 1) - 3)/(10*sin(d*x + c)/(cos(d*x + c) + 1) - 3*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 3) + 9*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 9*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
40,1,195,0,0.555893," ","integrate(1/(3-5*sin(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{735 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{649 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{75 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - 99\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{118 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{9 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 9} + 387 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 387 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{18432 \, d}"," ",0,"-1/18432*(40*(735*sin(d*x + c)/(cos(d*x + c) + 1) - 649*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 75*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 99)/(60*sin(d*x + c)/(cos(d*x + c) + 1) - 118*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 9*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 9) + 387*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 387*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
41,1,275,0,0.470145," ","integrate(1/(3-5*sin(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{342495 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1066482 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1218910 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{486441 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{84915 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - 42741\right)}}{\frac{270 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{981 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1540 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{981 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{270 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - \frac{27 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 27} + 22599 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 22599 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{2654208 \, d}"," ",0,"1/2654208*(40*(342495*sin(d*x + c)/(cos(d*x + c) + 1) - 1066482*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1218910*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 486441*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 84915*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 42741)/(270*sin(d*x + c)/(cos(d*x + c) + 1) - 981*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1540*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 981*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 270*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 27*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 27) + 22599*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 22599*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","B",0
42,1,49,0,0.482359," ","integrate(1/(-3+5*sin(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{4 \, d}"," ",0,"1/4*(log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
43,1,115,0,0.368690," ","integrate(1/(-3+5*sin(d*x+c))^2,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{5 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}}{\frac{10 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{3 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - 3} + 9 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 9 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{192 \, d}"," ",0,"1/192*(40*(5*sin(d*x + c)/(cos(d*x + c) + 1) - 3)/(10*sin(d*x + c)/(cos(d*x + c) + 1) - 3*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 3) + 9*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 9*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
44,1,195,0,0.386976," ","integrate(1/(-3+5*sin(d*x+c))^3,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{735 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{649 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{75 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - 99\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{118 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{9 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} - 9} + 387 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 387 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{18432 \, d}"," ",0,"1/18432*(40*(735*sin(d*x + c)/(cos(d*x + c) + 1) - 649*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 75*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 99)/(60*sin(d*x + c)/(cos(d*x + c) + 1) - 118*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 9*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 - 9) + 387*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 387*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","A",0
45,1,275,0,0.513332," ","integrate(1/(-3+5*sin(d*x+c))^4,x, algorithm=""maxima"")","\frac{\frac{40 \, {\left(\frac{342495 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{1066482 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1218910 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{486441 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{84915 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - 42741\right)}}{\frac{270 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - \frac{981 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1540 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} - \frac{981 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{270 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} - \frac{27 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} - 27} + 22599 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 1\right) - 22599 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} - 3\right)}{2654208 \, d}"," ",0,"1/2654208*(40*(342495*sin(d*x + c)/(cos(d*x + c) + 1) - 1066482*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1218910*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 486441*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 84915*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 42741)/(270*sin(d*x + c)/(cos(d*x + c) + 1) - 981*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1540*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 - 981*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 270*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 - 27*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 - 27) + 22599*log(3*sin(d*x + c)/(cos(d*x + c) + 1) - 1) - 22599*log(sin(d*x + c)/(cos(d*x + c) + 1) - 3))/d","B",0
46,1,49,0,0.312021," ","integrate(1/(-3-5*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{4 \, d}"," ",0,"-1/4*(log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
47,1,115,0,0.379181," ","integrate(1/(-3-5*sin(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{5 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}}{\frac{10 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{3 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + 3} + 9 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 9 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{192 \, d}"," ",0,"-1/192*(40*(5*sin(d*x + c)/(cos(d*x + c) + 1) + 3)/(10*sin(d*x + c)/(cos(d*x + c) + 1) + 3*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 3) + 9*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 9*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
48,1,195,0,0.544661," ","integrate(1/(-3-5*sin(d*x+c))^3,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{735 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{649 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} - \frac{75 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + 99\right)}}{\frac{60 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{118 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{60 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{9 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + 9} + 387 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 387 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{18432 \, d}"," ",0,"-1/18432*(40*(735*sin(d*x + c)/(cos(d*x + c) + 1) + 649*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 - 75*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 99)/(60*sin(d*x + c)/(cos(d*x + c) + 1) + 118*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 60*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 9*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 9) + 387*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 387*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","A",0
49,1,275,0,0.539783," ","integrate(1/(-3-5*sin(d*x+c))^4,x, algorithm=""maxima"")","-\frac{\frac{40 \, {\left(\frac{342495 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{1066482 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1218910 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{486441 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{84915 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + 42741\right)}}{\frac{270 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + \frac{981 \, \sin\left(d x + c\right)^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{1540 \, \sin\left(d x + c\right)^{3}}{{\left(\cos\left(d x + c\right) + 1\right)}^{3}} + \frac{981 \, \sin\left(d x + c\right)^{4}}{{\left(\cos\left(d x + c\right) + 1\right)}^{4}} + \frac{270 \, \sin\left(d x + c\right)^{5}}{{\left(\cos\left(d x + c\right) + 1\right)}^{5}} + \frac{27 \, \sin\left(d x + c\right)^{6}}{{\left(\cos\left(d x + c\right) + 1\right)}^{6}} + 27} + 22599 \, \log\left(\frac{3 \, \sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 1\right) - 22599 \, \log\left(\frac{\sin\left(d x + c\right)}{\cos\left(d x + c\right) + 1} + 3\right)}{2654208 \, d}"," ",0,"-1/2654208*(40*(342495*sin(d*x + c)/(cos(d*x + c) + 1) + 1066482*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1218910*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 486441*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 84915*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 42741)/(270*sin(d*x + c)/(cos(d*x + c) + 1) + 981*sin(d*x + c)^2/(cos(d*x + c) + 1)^2 + 1540*sin(d*x + c)^3/(cos(d*x + c) + 1)^3 + 981*sin(d*x + c)^4/(cos(d*x + c) + 1)^4 + 270*sin(d*x + c)^5/(cos(d*x + c) + 1)^5 + 27*sin(d*x + c)^6/(cos(d*x + c) + 1)^6 + 27) + 22599*log(3*sin(d*x + c)/(cos(d*x + c) + 1) + 1) - 22599*log(sin(d*x + c)/(cos(d*x + c) + 1) + 3))/d","B",0
50,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(7/2), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(5/2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*sin(d*x + c) + a), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sin\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sin(d*x + c) + a), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-3/2), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-5/2), x)","F",0
57,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-7/2), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(4/3),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(4/3), x)","F",0
59,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(2/3),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(2/3), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^(1/3),x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(1/3), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-1/3), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-2/3), x)","F",0
63,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sin\left(d x + c\right) + a\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^(-4/3), x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(b \sin\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*sin(d*x + c) + a)^n, x)","F",0
65,0,0,0,0.000000," ","integrate((3+4*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(4 \, \sin\left(d x + c\right) + 3\right)}^{n}\,{d x}"," ",0,"integrate((4*sin(d*x + c) + 3)^n, x)","F",0
66,0,0,0,0.000000," ","integrate((3-4*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-4 \, \sin\left(d x + c\right) + 3\right)}^{n}\,{d x}"," ",0,"integrate((-4*sin(d*x + c) + 3)^n, x)","F",0
67,0,0,0,0.000000," ","integrate((4+3*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(3 \, \sin\left(d x + c\right) + 4\right)}^{n}\,{d x}"," ",0,"integrate((3*sin(d*x + c) + 4)^n, x)","F",0
68,0,0,0,0.000000," ","integrate((4-3*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-3 \, \sin\left(d x + c\right) + 4\right)}^{n}\,{d x}"," ",0,"integrate((-3*sin(d*x + c) + 4)^n, x)","F",0
69,0,0,0,0.000000," ","integrate((-3+4*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(4 \, \sin\left(d x + c\right) - 3\right)}^{n}\,{d x}"," ",0,"integrate((4*sin(d*x + c) - 3)^n, x)","F",0
70,0,0,0,0.000000," ","integrate((-3-4*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-4 \, \sin\left(d x + c\right) - 3\right)}^{n}\,{d x}"," ",0,"integrate((-4*sin(d*x + c) - 3)^n, x)","F",0
71,0,0,0,0.000000," ","integrate((-4+3*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(3 \, \sin\left(d x + c\right) - 4\right)}^{n}\,{d x}"," ",0,"integrate((3*sin(d*x + c) - 4)^n, x)","F",0
72,0,0,0,0.000000," ","integrate((-4-3*sin(d*x+c))^n,x, algorithm=""maxima"")","\int {\left(-3 \, \sin\left(d x + c\right) - 4\right)}^{n}\,{d x}"," ",0,"integrate((-3*sin(d*x + c) - 4)^n, x)","F",0
