1,1,75,103,0.152000," ","int((a+a*sin(d*x+c))^(7/2),x)","\frac{2 \left(1+\sin \left(d x +c \right)\right) a^{4} \left(\sin \left(d x +c \right)-1\right) \left(5 \left(\sin^{3}\left(d x +c \right)\right)+27 \left(\sin^{2}\left(d x +c \right)\right)+71 \sin \left(d x +c \right)+177\right)}{35 \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"2/35*(1+sin(d*x+c))*a^4*(sin(d*x+c)-1)*(5*sin(d*x+c)^3+27*sin(d*x+c)^2+71*sin(d*x+c)+177)/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
2,1,65,77,0.125000," ","int((a+a*sin(d*x+c))^(5/2),x)","\frac{2 \left(1+\sin \left(d x +c \right)\right) a^{3} \left(\sin \left(d x +c \right)-1\right) \left(3 \left(\sin^{2}\left(d x +c \right)\right)+14 \sin \left(d x +c \right)+43\right)}{15 \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"2/15*(1+sin(d*x+c))*a^3*(sin(d*x+c)-1)*(3*sin(d*x+c)^2+14*sin(d*x+c)+43)/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
3,1,53,51,0.125000," ","int((a+a*sin(d*x+c))^(3/2),x)","\frac{2 \left(1+\sin \left(d x +c \right)\right) a^{2} \left(\sin \left(d x +c \right)-1\right) \left(\sin \left(d x +c \right)+5\right)}{3 \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"2/3*(1+sin(d*x+c))*a^2*(sin(d*x+c)-1)*(sin(d*x+c)+5)/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
4,1,43,24,0.114000," ","int((a+a*sin(d*x+c))^(1/2),x)","\frac{2 \left(1+\sin \left(d x +c \right)\right) a \left(\sin \left(d x +c \right)-1\right)}{\cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"2*(1+sin(d*x+c))*a*(sin(d*x+c)-1)/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
5,1,75,38,0.116000," ","int(1/(a+a*sin(d*x+c))^(1/2),x)","-\frac{\left(1+\sin \left(d x +c \right)\right) \sqrt{-a \left(\sin \left(d x +c \right)-1\right)}\, \sqrt{2}\, \arctanh \left(\frac{\sqrt{-a \left(\sin \left(d x +c \right)-1\right)}\, \sqrt{2}}{2 \sqrt{a}}\right)}{\sqrt{a}\, \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"-(1+sin(d*x+c))*(-a*(sin(d*x+c)-1))^(1/2)*2^(1/2)/a^(1/2)*arctanh(1/2*(-a*(sin(d*x+c)-1))^(1/2)*2^(1/2)/a^(1/2))/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
6,1,125,62,0.134000," ","int(1/(a+a*sin(d*x+c))^(3/2),x)","-\frac{\left(\sqrt{2}\, \arctanh \left(\frac{\sqrt{a -a \sin \left(d x +c \right)}\, \sqrt{2}}{2 \sqrt{a}}\right) a^{2} \sin \left(d x +c \right)+2 \sqrt{a -a \sin \left(d x +c \right)}\, a^{\frac{3}{2}}+\sqrt{2}\, \arctanh \left(\frac{\sqrt{a -a \sin \left(d x +c \right)}\, \sqrt{2}}{2 \sqrt{a}}\right) a^{2}\right) \sqrt{-a \left(\sin \left(d x +c \right)-1\right)}}{4 a^{\frac{7}{2}} \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"-1/4/a^(7/2)*(2^(1/2)*arctanh(1/2*(a-a*sin(d*x+c))^(1/2)*2^(1/2)/a^(1/2))*a^2*sin(d*x+c)+2*(a-a*sin(d*x+c))^(1/2)*a^(3/2)+2^(1/2)*arctanh(1/2*(a-a*sin(d*x+c))^(1/2)*2^(1/2)/a^(1/2))*a^2)*(-a*(sin(d*x+c)-1))^(1/2)/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","A"
7,1,195,88,0.169000," ","int(1/(a+a*sin(d*x+c))^(5/2),x)","-\frac{\left(\sin \left(d x +c \right) \left(6 \sqrt{2}\, \arctanh \left(\frac{\sqrt{a -a \sin \left(d x +c \right)}\, \sqrt{2}}{2 \sqrt{a}}\right) a^{2}+6 \sqrt{a -a \sin \left(d x +c \right)}\, a^{\frac{3}{2}}\right)-3 \arctanh \left(\frac{\sqrt{a -a \sin \left(d x +c \right)}\, \sqrt{2}}{2 \sqrt{a}}\right) \sqrt{2}\, a^{2} \left(\cos^{2}\left(d x +c \right)\right)+6 \sqrt{2}\, \arctanh \left(\frac{\sqrt{a -a \sin \left(d x +c \right)}\, \sqrt{2}}{2 \sqrt{a}}\right) a^{2}+14 \sqrt{a -a \sin \left(d x +c \right)}\, a^{\frac{3}{2}}\right) \sqrt{-a \left(\sin \left(d x +c \right)-1\right)}}{32 a^{\frac{9}{2}} \left(1+\sin \left(d x +c \right)\right) \cos \left(d x +c \right) \sqrt{a +a \sin \left(d x +c \right)}\, d}"," ",0,"-1/32/a^(9/2)*(sin(d*x+c)*(6*2^(1/2)*arctanh(1/2*(a-a*sin(d*x+c))^(1/2)*2^(1/2)/a^(1/2))*a^2+6*(a-a*sin(d*x+c))^(1/2)*a^(3/2))-3*arctanh(1/2*(a-a*sin(d*x+c))^(1/2)*2^(1/2)/a^(1/2))*2^(1/2)*a^2*cos(d*x+c)^2+6*2^(1/2)*arctanh(1/2*(a-a*sin(d*x+c))^(1/2)*2^(1/2)/a^(1/2))*a^2+14*(a-a*sin(d*x+c))^(1/2)*a^(3/2))*(-a*(sin(d*x+c)-1))^(1/2)/(1+sin(d*x+c))/cos(d*x+c)/(a+a*sin(d*x+c))^(1/2)/d","B"
8,0,0,53,0.099000," ","int((a+a*sin(d*x+c))^(4/3),x)","\int \left(a +a \sin \left(d x +c \right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((a+a*sin(d*x+c))^(4/3),x)","F"
9,0,0,52,0.213000," ","int((a+a*sin(d*x+c))^(2/3),x)","\int \left(a +a \sin \left(d x +c \right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((a+a*sin(d*x+c))^(2/3),x)","F"
10,0,0,52,0.161000," ","int((a+a*sin(d*x+c))^(1/3),x)","\int \left(a +a \sin \left(d x +c \right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((a+a*sin(d*x+c))^(1/3),x)","F"
11,0,0,52,0.185000," ","int(1/(a+a*sin(d*x+c))^(1/3),x)","\int \frac{1}{\left(a +a \sin \left(d x +c \right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(a+a*sin(d*x+c))^(1/3),x)","F"
12,0,0,52,0.165000," ","int(1/(a+a*sin(d*x+c))^(2/3),x)","\int \frac{1}{\left(a +a \sin \left(d x +c \right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(a+a*sin(d*x+c))^(2/3),x)","F"
13,0,0,55,0.093000," ","int(1/(a+a*sin(d*x+c))^(4/3),x)","\int \frac{1}{\left(a +a \sin \left(d x +c \right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(a+a*sin(d*x+c))^(4/3),x)","F"
14,0,0,62,0.489000," ","int((a+a*sin(d*x+c))^n,x)","\int \left(a +a \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((a+a*sin(d*x+c))^n,x)","F"
15,0,0,64,0.533000," ","int((a-a*sin(d*x+c))^n,x)","\int \left(a -a \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((a-a*sin(d*x+c))^n,x)","F"
16,0,0,48,0.414000," ","int((2+2*sin(d*x+c))^n,x)","\int \left(2+2 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((2+2*sin(d*x+c))^n,x)","F"
17,0,0,49,0.367000," ","int((2-2*sin(d*x+c))^n,x)","\int \left(2-2 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((2-2*sin(d*x+c))^n,x)","F"
18,1,20,27,0.049000," ","int(1/(5+3*sin(d*x+c)),x)","\frac{\arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{2 d}"," ",0,"1/2/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","A"
19,1,92,50,0.092000," ","int(1/(5+3*sin(d*x+c))^2,x)","\frac{9 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{200 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{3}{40 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{5 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{32 d}"," ",0,"9/200/d/(tan(1/2*d*x+1/2*c)^2+6/5*tan(1/2*d*x+1/2*c)+1)*tan(1/2*d*x+1/2*c)+3/40/d/(tan(1/2*d*x+1/2*c)^2+6/5*tan(1/2*d*x+1/2*c)+1)+5/32/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","A"
20,1,184,73,0.099000," ","int(1/(5+3*sin(d*x+c))^3,x)","\frac{963 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{11739 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{2313 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{273}{256 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{59 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{1024 d}"," ",0,"963/1280/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^3+11739/6400/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^2+2313/1280/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)+273/256/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2+59/1024/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","B"
21,1,272,96,0.093000," ","int(1/(5+3*sin(d*x+c))^4,x)","\frac{39933 \left(\tan^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{672723 \left(\tan^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{102400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{2870073 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{256000 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{604899 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{51200 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{145233 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{10287}{4096 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{385 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{16384 d}"," ",0,"39933/20480/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^5+672723/102400/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^4+2870073/256000/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^3+604899/51200/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^2+145233/20480/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)+10287/4096/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3+385/16384/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","B"
22,1,20,29,0.054000," ","int(1/(5-3*sin(d*x+c)),x)","\frac{\arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{2 d}"," ",0,"1/2/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","A"
23,1,92,52,0.086000," ","int(1/(5-3*sin(d*x+c))^2,x)","\frac{9 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{200 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}-\frac{3}{40 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{5 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{32 d}"," ",0,"9/200/d/(tan(1/2*d*x+1/2*c)^2-6/5*tan(1/2*d*x+1/2*c)+1)*tan(1/2*d*x+1/2*c)-3/40/d/(tan(1/2*d*x+1/2*c)^2-6/5*tan(1/2*d*x+1/2*c)+1)+5/32/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","A"
24,1,184,75,0.087000," ","int(1/(5-3*sin(d*x+c))^3,x)","\frac{963 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{11739 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{2313 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{273}{256 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{59 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{1024 d}"," ",0,"963/1280/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^3-11739/6400/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^2+2313/1280/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)-273/256/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2+59/1024/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","B"
25,1,272,98,0.095000," ","int(1/(5-3*sin(d*x+c))^4,x)","\frac{39933 \left(\tan^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{672723 \left(\tan^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{102400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{2870073 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{256000 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{604899 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{51200 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{145233 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{10287}{4096 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{385 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{16384 d}"," ",0,"39933/20480/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^5-672723/102400/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^4+2870073/256000/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^3-604899/51200/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^2+145233/20480/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)-10287/4096/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3+385/16384/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","B"
26,1,20,29,0.051000," ","int(1/(-5+3*sin(d*x+c)),x)","-\frac{\arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{2 d}"," ",0,"-1/2/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","A"
27,1,92,52,0.092000," ","int(1/(-5+3*sin(d*x+c))^2,x)","\frac{9 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{200 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}-\frac{3}{40 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)-\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{5 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{32 d}"," ",0,"9/200/d/(tan(1/2*d*x+1/2*c)^2-6/5*tan(1/2*d*x+1/2*c)+1)*tan(1/2*d*x+1/2*c)-3/40/d/(tan(1/2*d*x+1/2*c)^2-6/5*tan(1/2*d*x+1/2*c)+1)+5/32/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","A"
28,1,184,75,0.099000," ","int(1/(-5+3*sin(d*x+c))^3,x)","-\frac{963 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{11739 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{2313 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}+\frac{273}{256 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{59 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{1024 d}"," ",0,"-963/1280/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^3+11739/6400/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^2-2313/1280/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)+273/256/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^2-59/1024/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","B"
29,1,272,98,0.094000," ","int(1/(-5+3*sin(d*x+c))^4,x)","\frac{39933 \left(\tan^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{672723 \left(\tan^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{102400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{2870073 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{256000 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{604899 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{51200 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{145233 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}-\frac{10287}{4096 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)-6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{385 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}-\frac{3}{4}\right)}{16384 d}"," ",0,"39933/20480/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^5-672723/102400/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^4+2870073/256000/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^3-604899/51200/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^2+145233/20480/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)-10287/4096/d/(5*tan(1/2*d*x+1/2*c)^2-6*tan(1/2*d*x+1/2*c)+5)^3+385/16384/d*arctan(5/4*tan(1/2*d*x+1/2*c)-3/4)","B"
30,1,20,27,0.051000," ","int(1/(-5-3*sin(d*x+c)),x)","-\frac{\arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{2 d}"," ",0,"-1/2/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","A"
31,1,92,50,0.092000," ","int(1/(-5-3*sin(d*x+c))^2,x)","\frac{9 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{200 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{3}{40 d \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)+\frac{6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{5}+1\right)}+\frac{5 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{32 d}"," ",0,"9/200/d/(tan(1/2*d*x+1/2*c)^2+6/5*tan(1/2*d*x+1/2*c)+1)*tan(1/2*d*x+1/2*c)+3/40/d/(tan(1/2*d*x+1/2*c)^2+6/5*tan(1/2*d*x+1/2*c)+1)+5/32/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","A"
32,1,184,73,0.088000," ","int(1/(-5-3*sin(d*x+c))^3,x)","-\frac{963 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{11739 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{6400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{2313 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{1280 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{273}{256 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{2}}-\frac{59 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{1024 d}"," ",0,"-963/1280/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^3-11739/6400/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)^2-2313/1280/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2*tan(1/2*d*x+1/2*c)-273/256/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^2-59/1024/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","B"
33,1,272,96,0.093000," ","int(1/(-5-3*sin(d*x+c))^4,x)","\frac{39933 \left(\tan^{5}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{672723 \left(\tan^{4}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{102400 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{2870073 \left(\tan^{3}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{256000 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{604899 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)}{51200 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{145233 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{20480 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{10287}{4096 d \left(5 \left(\tan^{2}\left(\frac{d x}{2}+\frac{c}{2}\right)\right)+6 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+5\right)^{3}}+\frac{385 \arctan \left(\frac{5 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)}{4}+\frac{3}{4}\right)}{16384 d}"," ",0,"39933/20480/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^5+672723/102400/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^4+2870073/256000/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^3+604899/51200/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)^2+145233/20480/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3*tan(1/2*d*x+1/2*c)+10287/4096/d/(5*tan(1/2*d*x+1/2*c)^2+6*tan(1/2*d*x+1/2*c)+5)^3+385/16384/d*arctan(5/4*tan(1/2*d*x+1/2*c)+3/4)","B"
34,1,38,55,0.052000," ","int(1/(3+5*sin(d*x+c)),x)","-\frac{\ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{4 d}+\frac{\ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{4 d}"," ",0,"-1/4/d*ln(tan(1/2*d*x+1/2*c)+3)+1/4/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
35,1,76,78,0.097000," ","int(1/(3+5*sin(d*x+c))^2,x)","-\frac{5}{16 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}+\frac{3 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{64 d}-\frac{5}{48 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{3 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{64 d}"," ",0,"-5/16/d/(tan(1/2*d*x+1/2*c)+3)+3/64/d*ln(tan(1/2*d*x+1/2*c)+3)-5/48/d/(3*tan(1/2*d*x+1/2*c)+1)-3/64/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
36,1,114,101,0.107000," ","int(1/(3+5*sin(d*x+c))^3,x)","\frac{25}{128 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{2}}-\frac{15}{512 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}-\frac{43 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{2048 d}-\frac{25}{1152 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}+\frac{155}{4608 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}+\frac{43 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2048 d}"," ",0,"25/128/d/(tan(1/2*d*x+1/2*c)+3)^2-15/512/d/(tan(1/2*d*x+1/2*c)+3)-43/2048/d*ln(tan(1/2*d*x+1/2*c)+3)-25/1152/d/(3*tan(1/2*d*x+1/2*c)+1)^2+155/4608/d/(3*tan(1/2*d*x+1/2*c)+1)+43/2048/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
37,1,152,124,0.096000," ","int(1/(3+5*sin(d*x+c))^4,x)","-\frac{125}{768 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{3}}+\frac{75}{1024 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{2}}-\frac{345}{8192 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}+\frac{279 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{32768 d}-\frac{125}{20736 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{275}{27648 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3505}{221184 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{279 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{32768 d}"," ",0,"-125/768/d/(tan(1/2*d*x+1/2*c)+3)^3+75/1024/d/(tan(1/2*d*x+1/2*c)+3)^2-345/8192/d/(tan(1/2*d*x+1/2*c)+3)+279/32768/d*ln(tan(1/2*d*x+1/2*c)+3)-125/20736/d/(3*tan(1/2*d*x+1/2*c)+1)^3+275/27648/d/(3*tan(1/2*d*x+1/2*c)+1)^2-3505/221184/d/(3*tan(1/2*d*x+1/2*c)+1)-279/32768/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
38,1,38,57,0.056000," ","int(1/(3-5*sin(d*x+c)),x)","-\frac{\ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{4 d}+\frac{\ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{4 d}"," ",0,"-1/4/d*ln(3*tan(1/2*d*x+1/2*c)-1)+1/4/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
39,1,76,80,0.096000," ","int(1/(3-5*sin(d*x+c))^2,x)","-\frac{5}{48 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{3 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{64 d}-\frac{5}{16 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}-\frac{3 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{64 d}"," ",0,"-5/48/d/(3*tan(1/2*d*x+1/2*c)-1)+3/64/d*ln(3*tan(1/2*d*x+1/2*c)-1)-5/16/d/(tan(1/2*d*x+1/2*c)-3)-3/64/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
40,1,114,103,0.093000," ","int(1/(3-5*sin(d*x+c))^3,x)","\frac{25}{1152 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}+\frac{155}{4608 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}-\frac{43 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2048 d}-\frac{25}{128 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{2}}-\frac{15}{512 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}+\frac{43 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{2048 d}"," ",0,"25/1152/d/(3*tan(1/2*d*x+1/2*c)-1)^2+155/4608/d/(3*tan(1/2*d*x+1/2*c)-1)-43/2048/d*ln(3*tan(1/2*d*x+1/2*c)-1)-25/128/d/(tan(1/2*d*x+1/2*c)-3)^2-15/512/d/(tan(1/2*d*x+1/2*c)-3)+43/2048/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
41,1,152,126,0.099000," ","int(1/(3-5*sin(d*x+c))^4,x)","-\frac{125}{20736 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{275}{27648 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3505}{221184 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{279 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{32768 d}-\frac{125}{768 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{3}}-\frac{75}{1024 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{2}}-\frac{345}{8192 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}-\frac{279 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{32768 d}"," ",0,"-125/20736/d/(3*tan(1/2*d*x+1/2*c)-1)^3-275/27648/d/(3*tan(1/2*d*x+1/2*c)-1)^2-3505/221184/d/(3*tan(1/2*d*x+1/2*c)-1)+279/32768/d*ln(3*tan(1/2*d*x+1/2*c)-1)-125/768/d/(tan(1/2*d*x+1/2*c)-3)^3-75/1024/d/(tan(1/2*d*x+1/2*c)-3)^2-345/8192/d/(tan(1/2*d*x+1/2*c)-3)-279/32768/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
42,1,38,57,0.056000," ","int(1/(-3+5*sin(d*x+c)),x)","\frac{\ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{4 d}-\frac{\ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{4 d}"," ",0,"1/4/d*ln(3*tan(1/2*d*x+1/2*c)-1)-1/4/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
43,1,76,80,0.094000," ","int(1/(-3+5*sin(d*x+c))^2,x)","-\frac{5}{48 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{3 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{64 d}-\frac{5}{16 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}-\frac{3 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{64 d}"," ",0,"-5/48/d/(3*tan(1/2*d*x+1/2*c)-1)+3/64/d*ln(3*tan(1/2*d*x+1/2*c)-1)-5/16/d/(tan(1/2*d*x+1/2*c)-3)-3/64/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
44,1,114,103,0.104000," ","int(1/(-3+5*sin(d*x+c))^3,x)","-\frac{25}{1152 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{155}{4608 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{43 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{2048 d}+\frac{25}{128 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{2}}+\frac{15}{512 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}-\frac{43 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{2048 d}"," ",0,"-25/1152/d/(3*tan(1/2*d*x+1/2*c)-1)^2-155/4608/d/(3*tan(1/2*d*x+1/2*c)-1)+43/2048/d*ln(3*tan(1/2*d*x+1/2*c)-1)+25/128/d/(tan(1/2*d*x+1/2*c)-3)^2+15/512/d/(tan(1/2*d*x+1/2*c)-3)-43/2048/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
45,1,152,126,0.099000," ","int(1/(-3+5*sin(d*x+c))^4,x)","-\frac{125}{20736 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{3}}-\frac{275}{27648 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)^{2}}-\frac{3505}{221184 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}+\frac{279 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)-1\right)}{32768 d}-\frac{125}{768 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{3}}-\frac{75}{1024 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)^{2}}-\frac{345}{8192 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}-\frac{279 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)-3\right)}{32768 d}"," ",0,"-125/20736/d/(3*tan(1/2*d*x+1/2*c)-1)^3-275/27648/d/(3*tan(1/2*d*x+1/2*c)-1)^2-3505/221184/d/(3*tan(1/2*d*x+1/2*c)-1)+279/32768/d*ln(3*tan(1/2*d*x+1/2*c)-1)-125/768/d/(tan(1/2*d*x+1/2*c)-3)^3-75/1024/d/(tan(1/2*d*x+1/2*c)-3)^2-345/8192/d/(tan(1/2*d*x+1/2*c)-3)-279/32768/d*ln(tan(1/2*d*x+1/2*c)-3)","A"
46,1,38,55,0.056000," ","int(1/(-3-5*sin(d*x+c)),x)","\frac{\ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{4 d}-\frac{\ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{4 d}"," ",0,"1/4/d*ln(tan(1/2*d*x+1/2*c)+3)-1/4/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
47,1,76,78,0.101000," ","int(1/(-3-5*sin(d*x+c))^2,x)","-\frac{5}{16 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}+\frac{3 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{64 d}-\frac{5}{48 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{3 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{64 d}"," ",0,"-5/16/d/(tan(1/2*d*x+1/2*c)+3)+3/64/d*ln(tan(1/2*d*x+1/2*c)+3)-5/48/d/(3*tan(1/2*d*x+1/2*c)+1)-3/64/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
48,1,114,101,0.101000," ","int(1/(-3-5*sin(d*x+c))^3,x)","-\frac{25}{128 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{2}}+\frac{15}{512 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}+\frac{43 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{2048 d}+\frac{25}{1152 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{155}{4608 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{43 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{2048 d}"," ",0,"-25/128/d/(tan(1/2*d*x+1/2*c)+3)^2+15/512/d/(tan(1/2*d*x+1/2*c)+3)+43/2048/d*ln(tan(1/2*d*x+1/2*c)+3)+25/1152/d/(3*tan(1/2*d*x+1/2*c)+1)^2-155/4608/d/(3*tan(1/2*d*x+1/2*c)+1)-43/2048/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
49,1,152,124,0.090000," ","int(1/(-3-5*sin(d*x+c))^4,x)","-\frac{125}{768 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{3}}+\frac{75}{1024 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)^{2}}-\frac{345}{8192 d \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}+\frac{279 \ln \left(\tan \left(\frac{d x}{2}+\frac{c}{2}\right)+3\right)}{32768 d}-\frac{125}{20736 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{3}}+\frac{275}{27648 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)^{2}}-\frac{3505}{221184 d \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}-\frac{279 \ln \left(3 \tan \left(\frac{d x}{2}+\frac{c}{2}\right)+1\right)}{32768 d}"," ",0,"-125/768/d/(tan(1/2*d*x+1/2*c)+3)^3+75/1024/d/(tan(1/2*d*x+1/2*c)+3)^2-345/8192/d/(tan(1/2*d*x+1/2*c)+3)+279/32768/d*ln(tan(1/2*d*x+1/2*c)+3)-125/20736/d/(3*tan(1/2*d*x+1/2*c)+1)^3+275/27648/d/(3*tan(1/2*d*x+1/2*c)+1)^2-3505/221184/d/(3*tan(1/2*d*x+1/2*c)+1)-279/32768/d*ln(3*tan(1/2*d*x+1/2*c)+1)","A"
50,1,1040,298,0.298000," ","int((a+b*sin(d*x+c))^(7/2),x)","\frac{\frac{2 b^{5} \left(\sin^{5}\left(d x +c \right)\right)}{7}+2 a^{5} \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)+\frac{142 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{4} b}{105}+\frac{52 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{3} b^{2}}{35}-\frac{92 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{2} b^{3}}{105}-\frac{122 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a \,b^{4}}{35}-\frac{10 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{5}}{21}-\frac{352 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{5}}{105}-\frac{64 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{3} b^{2}}{105}+\frac{416 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a \,b^{4}}{105}+\frac{54 a \,b^{4} \left(\sin^{4}\left(d x +c \right)\right)}{35}+\frac{376 a^{2} b^{3} \left(\sin^{3}\left(d x +c \right)\right)}{105}+\frac{4 b^{5} \left(\sin^{3}\left(d x +c \right)\right)}{21}+\frac{244 a^{3} b^{2} \left(\sin^{2}\left(d x +c \right)\right)}{105}-\frac{16 a \,b^{4} \left(\sin^{2}\left(d x +c \right)\right)}{15}-\frac{376 a^{2} b^{3} \sin \left(d x +c \right)}{105}-\frac{10 b^{5} \sin \left(d x +c \right)}{21}-\frac{244 a^{3} b^{2}}{105}-\frac{10 a \,b^{4}}{21}}{b \cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"2/105*(15*b^5*sin(d*x+c)^5+105*a^5*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+71*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^4*b+78*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^3*b^2-46*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^2*b^3-183*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a*b^4-25*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^5-176*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^5-32*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^3*b^2+208*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a*b^4+81*a*b^4*sin(d*x+c)^4+188*a^2*b^3*sin(d*x+c)^3+10*b^5*sin(d*x+c)^3+122*a^3*b^2*sin(d*x+c)^2-56*a*b^4*sin(d*x+c)^2-188*a^2*b^3*sin(d*x+c)-25*b^5*sin(d*x+c)-122*a^3*b^2-25*a*b^4)/b/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","B"
51,1,890,253,0.220000," ","int((a+b*sin(d*x+c))^(5/2),x)","\frac{2 a^{4} \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)+\frac{16 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{3} b}{15}-\frac{4 a^{2} \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{2}}{5}-\frac{16 a \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{3}}{15}-\frac{6 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{4}}{5}-\frac{46 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{4}}{15}+\frac{28 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{2} b^{2}}{15}+\frac{6 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{4}}{5}+\frac{2 b^{4} \left(\sin^{4}\left(d x +c \right)\right)}{5}+\frac{28 a \,b^{3} \left(\sin^{3}\left(d x +c \right)\right)}{15}+\frac{22 a^{2} b^{2} \left(\sin^{2}\left(d x +c \right)\right)}{15}-\frac{2 b^{4} \left(\sin^{2}\left(d x +c \right)\right)}{5}-\frac{28 a \,b^{3} \sin \left(d x +c \right)}{15}-\frac{22 a^{2} b^{2}}{15}}{b \cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"2/15*(15*a^4*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+8*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^3*b-6*a^2*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^2-8*a*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^3-9*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^4-23*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^4+14*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^2*b^2+9*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^4+3*b^4*sin(d*x+c)^4+14*a*b^3*sin(d*x+c)^3+11*a^2*b^2*sin(d*x+c)^2-3*b^4*sin(d*x+c)^2-14*a*b^3*sin(d*x+c)-11*a^2*b^2)/b/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","B"
52,1,656,217,0.294000," ","int((a+b*sin(d*x+c))^(3/2),x)","\frac{2 a^{3} \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)+\frac{2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{2} b}{3}-2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{2} a -\frac{2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{3}}{3}-\frac{8 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{3}}{3}+\frac{8 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a \,b^{2}}{3}+\frac{2 b^{3} \left(\sin^{3}\left(d x +c \right)\right)}{3}+\frac{2 a \,b^{2} \left(\sin^{2}\left(d x +c \right)\right)}{3}-\frac{2 b^{3} \sin \left(d x +c \right)}{3}-\frac{2 a \,b^{2}}{3}}{\sqrt{a +b \sin \left(d x +c \right)}\, b d \cos \left(d x +c \right)}"," ",0,"2/3*(3*a^3*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^2*b-3*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^2*a-((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^3-4*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^3+4*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a*b^2+b^3*sin(d*x+c)^3+a*b^2*sin(d*x+c)^2-b^3*sin(d*x+c)-a*b^2)/b/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","B"
53,1,239,91,0.194000," ","int((a+b*sin(d*x+c))^(1/2),x)","-\frac{2 \left(a -b \right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \left(\EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a +\EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b -a \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)-\EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b \right)}{b \cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"-2/b*(a-b)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*(EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a+EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b-a*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))-EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b)/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","B"
54,1,126,91,0.162000," ","int(1/(a+b*sin(d*x+c))^(1/2),x)","\frac{2 \left(a -b \right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)}{b \cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"2*(a-b)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))/b/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","A"
55,1,443,138,0.251000," ","int(1/(a+b*sin(d*x+c))^(3/2),x)","\frac{2 a^{2} \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)-2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{2}-2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) a^{2}+2 \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{-\frac{\left(\sin \left(d x +c \right)-1\right) b}{a +b}}\, \sqrt{-\frac{\left(1+\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right) b^{2}-2 b^{2} \left(\sin^{2}\left(d x +c \right)\right)+2 b^{2}}{b \left(a^{2}-b^{2}\right) \cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"2/b*(a^2*((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))-((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^2-((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*a^2+((a+b*sin(d*x+c))/(a-b))^(1/2)*(-(sin(d*x+c)-1)*b/(a+b))^(1/2)*(-(1+sin(d*x+c))*b/(a-b))^(1/2)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))*b^2-b^2*sin(d*x+c)^2+b^2)/(a^2-b^2)/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","B"
56,1,497,277,0.730000," ","int(1/(a+b*sin(d*x+c))^(5/2),x)","\frac{\sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}\, \left(\frac{2 \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}{3 b \left(a^{2}-b^{2}\right) \left(\sin \left(d x +c \right)+\frac{a}{b}\right)^{2}}+\frac{8 b \left(\cos^{2}\left(d x +c \right)\right) a}{3 \left(a^{2}-b^{2}\right)^{2} \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}+\frac{2 \left(3 a^{2}+b^{2}\right) \left(\frac{a}{b}-1\right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{\frac{b \left(1-\sin \left(d x +c \right)\right)}{a +b}}\, \sqrt{\frac{\left(-1-\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)}{\left(3 a^{4}-6 a^{2} b^{2}+3 b^{4}\right) \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}+\frac{8 a b \left(\frac{a}{b}-1\right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{\frac{b \left(1-\sin \left(d x +c \right)\right)}{a +b}}\, \sqrt{\frac{\left(-1-\sin \left(d x +c \right)\right) b}{a -b}}\, \left(\left(-\frac{a}{b}-1\right) \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)+\EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)\right)}{3 \left(a^{2}-b^{2}\right)^{2} \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}\right)}{\cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*(2/3/b/(a^2-b^2)*(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)/(sin(d*x+c)+a/b)^2+8/3*b*cos(d*x+c)^2/(a^2-b^2)^2*a/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)+2*(3*a^2+b^2)/(3*a^4-6*a^2*b^2+3*b^4)*(a/b-1)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(b*(1-sin(d*x+c))/(a+b))^(1/2)*((-1-sin(d*x+c))*b/(a-b))^(1/2)/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+8/3*a*b/(a^2-b^2)^2*(a/b-1)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(b*(1-sin(d*x+c))/(a+b))^(1/2)*((-1-sin(d*x+c))*b/(a-b))^(1/2)/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*((-a/b-1)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))))/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","A"
57,1,584,334,0.609000," ","int(1/(a+b*sin(d*x+c))^(7/2),x)","\frac{\sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}\, \left(\frac{2 \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}{5 b^{2} \left(a^{2}-b^{2}\right) \left(\sin \left(d x +c \right)+\frac{a}{b}\right)^{3}}+\frac{16 a \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}{15 \left(a^{2}-b^{2}\right)^{2} b \left(\sin \left(d x +c \right)+\frac{a}{b}\right)^{2}}+\frac{2 b \left(\cos^{2}\left(d x +c \right)\right) \left(23 a^{2}+9 b^{2}\right)}{15 \left(a^{2}-b^{2}\right)^{3} \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}+\frac{2 \left(15 a^{3}+17 a \,b^{2}\right) \left(\frac{a}{b}-1\right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{\frac{b \left(1-\sin \left(d x +c \right)\right)}{a +b}}\, \sqrt{\frac{\left(-1-\sin \left(d x +c \right)\right) b}{a -b}}\, \EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)}{\left(15 a^{6}-45 a^{4} b^{2}+45 a^{2} b^{4}-15 b^{6}\right) \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}+\frac{2 b \left(23 a^{2}+9 b^{2}\right) \left(\frac{a}{b}-1\right) \sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}\, \sqrt{\frac{b \left(1-\sin \left(d x +c \right)\right)}{a +b}}\, \sqrt{\frac{\left(-1-\sin \left(d x +c \right)\right) b}{a -b}}\, \left(\left(-\frac{a}{b}-1\right) \EllipticE \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)+\EllipticF \left(\sqrt{\frac{a +b \sin \left(d x +c \right)}{a -b}}, \sqrt{\frac{a -b}{a +b}}\right)\right)}{15 \left(a^{2}-b^{2}\right)^{3} \sqrt{-\left(-b \sin \left(d x +c \right)-a \right) \left(\cos^{2}\left(d x +c \right)\right)}}\right)}{\cos \left(d x +c \right) \sqrt{a +b \sin \left(d x +c \right)}\, d}"," ",0,"(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*(2/5/b^2/(a^2-b^2)*(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)/(sin(d*x+c)+a/b)^3+16/15*a/(a^2-b^2)^2/b*(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)/(sin(d*x+c)+a/b)^2+2/15*b*cos(d*x+c)^2/(a^2-b^2)^3*(23*a^2+9*b^2)/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)+2*(15*a^3+17*a*b^2)/(15*a^6-45*a^4*b^2+45*a^2*b^4-15*b^6)*(a/b-1)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(b*(1-sin(d*x+c))/(a+b))^(1/2)*((-1-sin(d*x+c))*b/(a-b))^(1/2)/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+2/15*b*(23*a^2+9*b^2)/(a^2-b^2)^3*(a/b-1)*((a+b*sin(d*x+c))/(a-b))^(1/2)*(b*(1-sin(d*x+c))/(a+b))^(1/2)*((-1-sin(d*x+c))*b/(a-b))^(1/2)/(-(-b*sin(d*x+c)-a)*cos(d*x+c)^2)^(1/2)*((-a/b-1)*EllipticE(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))+EllipticF(((a+b*sin(d*x+c))/(a-b))^(1/2),((a-b)/(a+b))^(1/2))))/cos(d*x+c)/(a+b*sin(d*x+c))^(1/2)/d","A"
58,0,0,89,0.103000," ","int((a+b*sin(d*x+c))^(4/3),x)","\int \left(a +b \sin \left(d x +c \right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((a+b*sin(d*x+c))^(4/3),x)","F"
59,0,0,86,0.318000," ","int((a+b*sin(d*x+c))^(2/3),x)","\int \left(a +b \sin \left(d x +c \right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((a+b*sin(d*x+c))^(2/3),x)","F"
60,0,0,86,0.359000," ","int((a+b*sin(d*x+c))^(1/3),x)","\int \left(a +b \sin \left(d x +c \right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((a+b*sin(d*x+c))^(1/3),x)","F"
61,0,0,86,0.222000," ","int(1/(a+b*sin(d*x+c))^(1/3),x)","\int \frac{1}{\left(a +b \sin \left(d x +c \right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(a+b*sin(d*x+c))^(1/3),x)","F"
62,0,0,86,0.155000," ","int(1/(a+b*sin(d*x+c))^(2/3),x)","\int \frac{1}{\left(a +b \sin \left(d x +c \right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(a+b*sin(d*x+c))^(2/3),x)","F"
63,0,0,91,0.118000," ","int(1/(a+b*sin(d*x+c))^(4/3),x)","\int \frac{1}{\left(a +b \sin \left(d x +c \right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(a+b*sin(d*x+c))^(4/3),x)","F"
64,0,0,90,0.527000," ","int((a+b*sin(d*x+c))^n,x)","\int \left(a +b \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((a+b*sin(d*x+c))^n,x)","F"
65,0,0,54,0.658000," ","int((3+4*sin(d*x+c))^n,x)","\int \left(3+4 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((3+4*sin(d*x+c))^n,x)","F"
66,0,0,55,0.674000," ","int((3-4*sin(d*x+c))^n,x)","\int \left(3-4 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((3-4*sin(d*x+c))^n,x)","F"
67,0,0,52,0.511000," ","int((4+3*sin(d*x+c))^n,x)","\int \left(4+3 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((4+3*sin(d*x+c))^n,x)","F"
68,0,0,55,0.550000," ","int((4-3*sin(d*x+c))^n,x)","\int \left(4-3 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((4-3*sin(d*x+c))^n,x)","F"
69,0,0,51,0.581000," ","int((-3+4*sin(d*x+c))^n,x)","\int \left(-3+4 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((-3+4*sin(d*x+c))^n,x)","F"
70,0,0,52,0.572000," ","int((-3-4*sin(d*x+c))^n,x)","\int \left(-3-4 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((-3-4*sin(d*x+c))^n,x)","F"
71,0,0,81,0.441000," ","int((-4+3*sin(d*x+c))^n,x)","\int \left(-4+3 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((-4+3*sin(d*x+c))^n,x)","F"
72,0,0,96,0.444000," ","int((-4-3*sin(d*x+c))^n,x)","\int \left(-4-3 \sin \left(d x +c \right)\right)^{n}\, dx"," ",0,"int((-4-3*sin(d*x+c))^n,x)","F"