1,1,60,0,0.337948," ","integrate(sec(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{15 \, C \tan\left(d x + c\right)^{7} + 21 \, {\left(A + 3 \, C\right)} \tan\left(d x + c\right)^{5} + 35 \, {\left(2 \, A + 3 \, C\right)} \tan\left(d x + c\right)^{3} + 105 \, {\left(A + C\right)} \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*C*tan(d*x + c)^7 + 21*(A + 3*C)*tan(d*x + c)^5 + 35*(2*A + 3*C)*tan(d*x + c)^3 + 105*(A + C)*tan(d*x + c))/d","A",0
2,1,126,0,0.337895," ","integrate(sec(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, {\left(6 \, A + 5 \, C\right)} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, {\left(6 \, A + 5 \, C\right)} \log\left(\sin\left(d x + c\right) - 1\right) - \frac{2 \, {\left(3 \, {\left(6 \, A + 5 \, C\right)} \sin\left(d x + c\right)^{5} - 8 \, {\left(6 \, A + 5 \, C\right)} \sin\left(d x + c\right)^{3} + 3 \, {\left(10 \, A + 11 \, C\right)} \sin\left(d x + c\right)\right)}}{\sin\left(d x + c\right)^{6} - 3 \, \sin\left(d x + c\right)^{4} + 3 \, \sin\left(d x + c\right)^{2} - 1}}{96 \, d}"," ",0,"1/96*(3*(6*A + 5*C)*log(sin(d*x + c) + 1) - 3*(6*A + 5*C)*log(sin(d*x + c) - 1) - 2*(3*(6*A + 5*C)*sin(d*x + c)^5 - 8*(6*A + 5*C)*sin(d*x + c)^3 + 3*(10*A + 11*C)*sin(d*x + c))/(sin(d*x + c)^6 - 3*sin(d*x + c)^4 + 3*sin(d*x + c)^2 - 1))/d","A",0
3,1,43,0,0.348244," ","integrate(sec(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, C \tan\left(d x + c\right)^{5} + 5 \, {\left(A + 2 \, C\right)} \tan\left(d x + c\right)^{3} + 15 \, {\left(A + C\right)} \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*C*tan(d*x + c)^5 + 5*(A + 2*C)*tan(d*x + c)^3 + 15*(A + C)*tan(d*x + c))/d","A",0
4,1,97,0,0.351719," ","integrate(sec(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(4 \, A + 3 \, C\right)} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(4 \, A + 3 \, C\right)} \log\left(\sin\left(d x + c\right) - 1\right) - \frac{2 \, {\left({\left(4 \, A + 3 \, C\right)} \sin\left(d x + c\right)^{3} - {\left(4 \, A + 5 \, C\right)} \sin\left(d x + c\right)\right)}}{\sin\left(d x + c\right)^{4} - 2 \, \sin\left(d x + c\right)^{2} + 1}}{16 \, d}"," ",0,"1/16*((4*A + 3*C)*log(sin(d*x + c) + 1) - (4*A + 3*C)*log(sin(d*x + c) - 1) - 2*((4*A + 3*C)*sin(d*x + c)^3 - (4*A + 5*C)*sin(d*x + c))/(sin(d*x + c)^4 - 2*sin(d*x + c)^2 + 1))/d","A",0
5,1,34,0,0.342141," ","integrate(sec(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} C + 3 \, A \tan\left(d x + c\right)}{3 \, d}"," ",0,"1/3*((tan(d*x + c)^3 + 3*tan(d*x + c))*C + 3*A*tan(d*x + c))/d","A",0
6,1,58,0,0.338719," ","integrate(sec(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(2 \, A + C\right)} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(2 \, A + C\right)} \log\left(\sin\left(d x + c\right) - 1\right) - \frac{2 \, C \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1}}{4 \, d}"," ",0,"1/4*((2*A + C)*log(sin(d*x + c) + 1) - (2*A + C)*log(sin(d*x + c) - 1) - 2*C*sin(d*x + c)/(sin(d*x + c)^2 - 1))/d","A",0
7,1,15,0,0.418247," ","integrate(A+C*sec(d*x+c)^2,x, algorithm=""maxima"")","A x + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"A*x + C*tan(d*x + c)/d","A",0
8,1,38,0,0.339730," ","integrate(cos(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{C {\left(\log\left(\sin\left(d x + c\right) + 1\right) - \log\left(\sin\left(d x + c\right) - 1\right)\right)} + 2 \, A \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(C*(log(sin(d*x + c) + 1) - log(sin(d*x + c) - 1)) + 2*A*sin(d*x + c))/d","A",0
9,1,37,0,0.435076," ","integrate(cos(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} {\left(A + 2 \, C\right)} + \frac{A \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{2} + 1}}{2 \, d}"," ",0,"1/2*((d*x + c)*(A + 2*C) + A*tan(d*x + c)/(tan(d*x + c)^2 + 1))/d","A",0
10,1,27,0,0.477071," ","integrate(cos(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{A \sin\left(d x + c\right)^{3} - 3 \, {\left(A + C\right)} \sin\left(d x + c\right)}{3 \, d}"," ",0,"-1/3*(A*sin(d*x + c)^3 - 3*(A + C)*sin(d*x + c))/d","A",0
11,1,73,0,0.474284," ","integrate(cos(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} {\left(3 \, A + 4 \, C\right)} + \frac{{\left(3 \, A + 4 \, C\right)} \tan\left(d x + c\right)^{3} + {\left(5 \, A + 4 \, C\right)} \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{4} + 2 \, \tan\left(d x + c\right)^{2} + 1}}{8 \, d}"," ",0,"1/8*((d*x + c)*(3*A + 4*C) + ((3*A + 4*C)*tan(d*x + c)^3 + (5*A + 4*C)*tan(d*x + c))/(tan(d*x + c)^4 + 2*tan(d*x + c)^2 + 1))/d","A",0
12,1,43,0,0.365503," ","integrate(cos(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, A \sin\left(d x + c\right)^{5} - 5 \, {\left(2 \, A + C\right)} \sin\left(d x + c\right)^{3} + 15 \, {\left(A + C\right)} \sin\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*A*sin(d*x + c)^5 - 5*(2*A + C)*sin(d*x + c)^3 + 15*(A + C)*sin(d*x + c))/d","A",0
13,1,103,0,0.425682," ","integrate(cos(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, {\left(d x + c\right)} {\left(5 \, A + 6 \, C\right)} + \frac{3 \, {\left(5 \, A + 6 \, C\right)} \tan\left(d x + c\right)^{5} + 8 \, {\left(5 \, A + 6 \, C\right)} \tan\left(d x + c\right)^{3} + 3 \, {\left(11 \, A + 10 \, C\right)} \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{6} + 3 \, \tan\left(d x + c\right)^{4} + 3 \, \tan\left(d x + c\right)^{2} + 1}}{48 \, d}"," ",0,"1/48*(3*(d*x + c)*(5*A + 6*C) + (3*(5*A + 6*C)*tan(d*x + c)^5 + 8*(5*A + 6*C)*tan(d*x + c)^3 + 3*(11*A + 10*C)*tan(d*x + c))/(tan(d*x + c)^6 + 3*tan(d*x + c)^4 + 3*tan(d*x + c)^2 + 1))/d","A",0
14,1,304,0,0.641631," ","integrate(sec(d*x+c)^m*(-C*m/(1+m)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{2^{m} C \cos\left(-{\left(d x + c\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) \sin\left(2 \, d x + 2 \, c\right) - 2^{m} C \cos\left(-{\left(d x + c\right)} m + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) \sin\left(2 \, d x + 2 \, c\right) + {\left(2^{m} C \cos\left(2 \, d x + 2 \, c\right) + 2^{m} C\right)} \sin\left(-{\left(d x + c\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) - {\left(2^{m} C \cos\left(2 \, d x + 2 \, c\right) + 2^{m} C\right)} \sin\left(-{\left(d x + c\right)} m + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right)}{{\left({\left(m + 1\right)} \cos\left(2 \, d x + 2 \, c\right)^{2} + {\left(m + 1\right)} \sin\left(2 \, d x + 2 \, c\right)^{2} + 2 \, {\left(m + 1\right)} \cos\left(2 \, d x + 2 \, c\right) + m + 1\right)} {\left(\cos\left(2 \, d x + 2 \, c\right)^{2} + \sin\left(2 \, d x + 2 \, c\right)^{2} + 2 \, \cos\left(2 \, d x + 2 \, c\right) + 1\right)}^{\frac{1}{2} \, m} d}"," ",0,"-(2^m*C*cos(-(d*x + c)*(m + 2) + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1))*sin(2*d*x + 2*c) - 2^m*C*cos(-(d*x + c)*m + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1))*sin(2*d*x + 2*c) + (2^m*C*cos(2*d*x + 2*c) + 2^m*C)*sin(-(d*x + c)*(m + 2) + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1)) - (2^m*C*cos(2*d*x + 2*c) + 2^m*C)*sin(-(d*x + c)*m + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1)))/(((m + 1)*cos(2*d*x + 2*c)^2 + (m + 1)*sin(2*d*x + 2*c)^2 + 2*(m + 1)*cos(2*d*x + 2*c) + m + 1)*(cos(2*d*x + 2*c)^2 + sin(2*d*x + 2*c)^2 + 2*cos(2*d*x + 2*c) + 1)^(1/2*m)*d)","B",0
15,1,296,0,0.834876," ","integrate(sec(d*x+c)^m*(A-A*(1+m)*sec(d*x+c)^2/m),x, algorithm=""maxima"")","\frac{2^{m} A \cos\left(-{\left(d x + c\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) \sin\left(2 \, d x + 2 \, c\right) - 2^{m} A \cos\left(-{\left(d x + c\right)} m + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) \sin\left(2 \, d x + 2 \, c\right) + {\left(2^{m} A \cos\left(2 \, d x + 2 \, c\right) + 2^{m} A\right)} \sin\left(-{\left(d x + c\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right) - {\left(2^{m} A \cos\left(2 \, d x + 2 \, c\right) + 2^{m} A\right)} \sin\left(-{\left(d x + c\right)} m + m \arctan\left(\sin\left(2 \, d x + 2 \, c\right), \cos\left(2 \, d x + 2 \, c\right) + 1\right)\right)}{{\left(m \cos\left(2 \, d x + 2 \, c\right)^{2} + m \sin\left(2 \, d x + 2 \, c\right)^{2} + 2 \, m \cos\left(2 \, d x + 2 \, c\right) + m\right)} {\left(\cos\left(2 \, d x + 2 \, c\right)^{2} + \sin\left(2 \, d x + 2 \, c\right)^{2} + 2 \, \cos\left(2 \, d x + 2 \, c\right) + 1\right)}^{\frac{1}{2} \, m} d}"," ",0,"(2^m*A*cos(-(d*x + c)*(m + 2) + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1))*sin(2*d*x + 2*c) - 2^m*A*cos(-(d*x + c)*m + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1))*sin(2*d*x + 2*c) + (2^m*A*cos(2*d*x + 2*c) + 2^m*A)*sin(-(d*x + c)*(m + 2) + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1)) - (2^m*A*cos(2*d*x + 2*c) + 2^m*A)*sin(-(d*x + c)*m + m*arctan2(sin(2*d*x + 2*c), cos(2*d*x + 2*c) + 1)))/((m*cos(2*d*x + 2*c)^2 + m*sin(2*d*x + 2*c)^2 + 2*m*cos(2*d*x + 2*c) + m)*(cos(2*d*x + 2*c)^2 + sin(2*d*x + 2*c)^2 + 2*cos(2*d*x + 2*c) + 1)^(1/2*m)*d)","B",0
16,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(5/2)*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*(b*sec(d*x + c))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*(b*sec(d*x + c))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(A+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/sqrt(b*sec(d*x + c)), x)","F",0
20,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(3/2), x)","F",0
21,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(5/2), x)","F",0
22,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(7/2), x)","F",0
23,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(9/2), x)","F",0
24,0,0,0,0.000000," ","integrate((3+3*sec(d*x+c)^2)/sec(d*x+c)^(1/2),x, algorithm=""maxima"")","3 \, \int \frac{\sec\left(d x + c\right)^{2} + 1}{\sqrt{\sec\left(d x + c\right)}}\,{d x}"," ",0,"3*integrate((sec(d*x + c)^2 + 1)/sqrt(sec(d*x + c)), x)","F",0
25,1,283,0,0.755867," ","integrate(sec(f*x+e)^m*(m-(1+m)*sec(f*x+e)^2),x, algorithm=""maxima"")","\frac{2^{m} \cos\left(-{\left(f x + e\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, f x + 2 \, e\right), \cos\left(2 \, f x + 2 \, e\right) + 1\right)\right) \sin\left(2 \, f x + 2 \, e\right) - 2^{m} \cos\left(-{\left(f x + e\right)} m + m \arctan\left(\sin\left(2 \, f x + 2 \, e\right), \cos\left(2 \, f x + 2 \, e\right) + 1\right)\right) \sin\left(2 \, f x + 2 \, e\right) + {\left(2^{m} \cos\left(2 \, f x + 2 \, e\right) + 2^{m}\right)} \sin\left(-{\left(f x + e\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(2 \, f x + 2 \, e\right), \cos\left(2 \, f x + 2 \, e\right) + 1\right)\right) - {\left(2^{m} \cos\left(2 \, f x + 2 \, e\right) + 2^{m}\right)} \sin\left(-{\left(f x + e\right)} m + m \arctan\left(\sin\left(2 \, f x + 2 \, e\right), \cos\left(2 \, f x + 2 \, e\right) + 1\right)\right)}{{\left(\cos\left(2 \, f x + 2 \, e\right)^{2} + \sin\left(2 \, f x + 2 \, e\right)^{2} + 2 \, \cos\left(2 \, f x + 2 \, e\right) + 1\right)} {\left(\cos\left(2 \, f x + 2 \, e\right)^{2} + \sin\left(2 \, f x + 2 \, e\right)^{2} + 2 \, \cos\left(2 \, f x + 2 \, e\right) + 1\right)}^{\frac{1}{2} \, m} f}"," ",0,"(2^m*cos(-(f*x + e)*(m + 2) + m*arctan2(sin(2*f*x + 2*e), cos(2*f*x + 2*e) + 1))*sin(2*f*x + 2*e) - 2^m*cos(-(f*x + e)*m + m*arctan2(sin(2*f*x + 2*e), cos(2*f*x + 2*e) + 1))*sin(2*f*x + 2*e) + (2^m*cos(2*f*x + 2*e) + 2^m)*sin(-(f*x + e)*(m + 2) + m*arctan2(sin(2*f*x + 2*e), cos(2*f*x + 2*e) + 1)) - (2^m*cos(2*f*x + 2*e) + 2^m)*sin(-(f*x + e)*m + m*arctan2(sin(2*f*x + 2*e), cos(2*f*x + 2*e) + 1)))/((cos(2*f*x + 2*e)^2 + sin(2*f*x + 2*e)^2 + 2*cos(2*f*x + 2*e) + 1)*(cos(2*f*x + 2*e)^2 + sin(2*f*x + 2*e)^2 + 2*cos(2*f*x + 2*e) + 1)^(1/2*m)*f)","B",0
26,1,42,0,0.629852," ","integrate(sec(f*x+e)^5*(5-6*sec(f*x+e)^2),x, algorithm=""maxima"")","\frac{\sin\left(f x + e\right)}{{\left(\sin\left(f x + e\right)^{6} - 3 \, \sin\left(f x + e\right)^{4} + 3 \, \sin\left(f x + e\right)^{2} - 1\right)} f}"," ",0,"sin(f*x + e)/((sin(f*x + e)^6 - 3*sin(f*x + e)^4 + 3*sin(f*x + e)^2 - 1)*f)","B",0
27,1,30,0,0.328315," ","integrate(sec(f*x+e)^4*(4-5*sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\tan\left(f x + e\right)^{5} + 2 \, \tan\left(f x + e\right)^{3} + \tan\left(f x + e\right)}{f}"," ",0,"-(tan(f*x + e)^5 + 2*tan(f*x + e)^3 + tan(f*x + e))/f","A",0
28,1,33,0,0.323872," ","integrate(sec(f*x+e)^3*(3-4*sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\sin\left(f x + e\right)}{{\left(\sin\left(f x + e\right)^{4} - 2 \, \sin\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"-sin(f*x + e)/((sin(f*x + e)^4 - 2*sin(f*x + e)^2 + 1)*f)","A",0
29,1,20,0,0.334769," ","integrate(sec(f*x+e)^2*(2-3*sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\tan\left(f x + e\right)^{3} + \tan\left(f x + e\right)}{f}"," ",0,"-(tan(f*x + e)^3 + tan(f*x + e))/f","A",0
30,1,22,0,0.365290," ","integrate(sec(f*x+e)*(1-2*sec(f*x+e)^2),x, algorithm=""maxima"")","\frac{\sin\left(f x + e\right)}{{\left(\sin\left(f x + e\right)^{2} - 1\right)} f}"," ",0,"sin(f*x + e)/((sin(f*x + e)^2 - 1)*f)","A",0
31,1,11,0,0.361396," ","integrate(-sec(f*x+e)^2,x, algorithm=""maxima"")","-\frac{\tan\left(f x + e\right)}{f}"," ",0,"-tan(f*x + e)/f","A",0
32,1,11,0,0.380254," ","integrate(-cos(f*x+e),x, algorithm=""maxima"")","-\frac{\sin\left(f x + e\right)}{f}"," ",0,"-sin(f*x + e)/f","A",0
33,1,23,0,0.341208," ","integrate(cos(f*x+e)^2*(-2+sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"-tan(f*x + e)/((tan(f*x + e)^2 + 1)*f)","A",0
34,1,21,0,0.662961," ","integrate(cos(f*x+e)^3*(-3+2*sec(f*x+e)^2),x, algorithm=""maxima"")","\frac{\sin\left(f x + e\right)^{3} - \sin\left(f x + e\right)}{f}"," ",0,"(sin(f*x + e)^3 - sin(f*x + e))/f","A",0
35,1,33,0,0.336818," ","integrate(cos(f*x+e)^4*(-4+3*sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{4} + 2 \, \tan\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"-tan(f*x + e)/((tan(f*x + e)^4 + 2*tan(f*x + e)^2 + 1)*f)","A",0
36,1,30,0,0.352015," ","integrate(cos(f*x+e)^5*(-5+4*sec(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\sin\left(f x + e\right)^{5} - 2 \, \sin\left(f x + e\right)^{3} + \sin\left(f x + e\right)}{f}"," ",0,"-(sin(f*x + e)^5 - 2*sin(f*x + e)^3 + sin(f*x + e))/f","A",0
37,1,95,0,0.891406," ","integrate(sec(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{16 \, {\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} B - 3 \, C {\left(\frac{2 \, {\left(3 \, \sin\left(d x + c\right)^{3} - 5 \, \sin\left(d x + c\right)\right)}}{\sin\left(d x + c\right)^{4} - 2 \, \sin\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\sin\left(d x + c\right) + 1\right) + 3 \, \log\left(\sin\left(d x + c\right) - 1\right)\right)}}{48 \, d}"," ",0,"1/48*(16*(tan(d*x + c)^3 + 3*tan(d*x + c))*B - 3*C*(2*(3*sin(d*x + c)^3 - 5*sin(d*x + c))/(sin(d*x + c)^4 - 2*sin(d*x + c)^2 + 1) - 3*log(sin(d*x + c) + 1) + 3*log(sin(d*x + c) - 1)))/d","A",0
38,1,70,0,0.321520," ","integrate(sec(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{4 \, {\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} C - 3 \, B {\left(\frac{2 \, \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right) + 1\right) + \log\left(\sin\left(d x + c\right) - 1\right)\right)}}{12 \, d}"," ",0,"1/12*(4*(tan(d*x + c)^3 + 3*tan(d*x + c))*C - 3*B*(2*sin(d*x + c)/(sin(d*x + c)^2 - 1) - log(sin(d*x + c) + 1) + log(sin(d*x + c) - 1)))/d","A",0
39,1,58,0,0.328602," ","integrate(sec(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{C {\left(\frac{2 \, \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right) + 1\right) + \log\left(\sin\left(d x + c\right) - 1\right)\right)} - 4 \, B \tan\left(d x + c\right)}{4 \, d}"," ",0,"-1/4*(C*(2*sin(d*x + c)/(sin(d*x + c)^2 - 1) - log(sin(d*x + c) + 1) + log(sin(d*x + c) - 1)) - 4*B*tan(d*x + c))/d","A",0
40,1,31,0,0.368308," ","integrate(B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""maxima"")","\frac{B \log\left(\sec\left(d x + c\right) + \tan\left(d x + c\right)\right)}{d} + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"B*log(sec(d*x + c) + tan(d*x + c))/d + C*tan(d*x + c)/d","A",0
41,1,37,0,0.400302," ","integrate(cos(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{2 \, {\left(d x + c\right)} B + C {\left(\log\left(\sin\left(d x + c\right) + 1\right) - \log\left(\sin\left(d x + c\right) - 1\right)\right)}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)*B + C*(log(sin(d*x + c) + 1) - log(sin(d*x + c) - 1)))/d","B",0
42,1,20,0,0.397952," ","integrate(cos(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} C + B \sin\left(d x + c\right)}{d}"," ",0,"((d*x + c)*C + B*sin(d*x + c))/d","A",0
43,1,34,0,0.518746," ","integrate(cos(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c + \sin\left(2 \, d x + 2 \, c\right)\right)} B + 4 \, C \sin\left(d x + c\right)}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c + sin(2*d*x + 2*c))*B + 4*C*sin(d*x + c))/d","A",0
44,1,46,0,0.323344," ","integrate(cos(d*x+c)^4*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{4 \, {\left(\sin\left(d x + c\right)^{3} - 3 \, \sin\left(d x + c\right)\right)} B - 3 \, {\left(2 \, d x + 2 \, c + \sin\left(2 \, d x + 2 \, c\right)\right)} C}{12 \, d}"," ",0,"-1/12*(4*(sin(d*x + c)^3 - 3*sin(d*x + c))*B - 3*(2*d*x + 2*c + sin(2*d*x + 2*c))*C)/d","A",0
45,1,57,0,0.421268," ","integrate(cos(d*x+c)^5*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, {\left(12 \, d x + 12 \, c + \sin\left(4 \, d x + 4 \, c\right) + 8 \, \sin\left(2 \, d x + 2 \, c\right)\right)} B - 32 \, {\left(\sin\left(d x + c\right)^{3} - 3 \, \sin\left(d x + c\right)\right)} C}{96 \, d}"," ",0,"1/96*(3*(12*d*x + 12*c + sin(4*d*x + 4*c) + 8*sin(2*d*x + 2*c))*B - 32*(sin(d*x + c)^3 - 3*sin(d*x + c))*C)/d","A",0
46,1,69,0,0.351193," ","integrate(cos(d*x+c)^6*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{32 \, {\left(3 \, \sin\left(d x + c\right)^{5} - 10 \, \sin\left(d x + c\right)^{3} + 15 \, \sin\left(d x + c\right)\right)} B + 15 \, {\left(12 \, d x + 12 \, c + \sin\left(4 \, d x + 4 \, c\right) + 8 \, \sin\left(2 \, d x + 2 \, c\right)\right)} C}{480 \, d}"," ",0,"1/480*(32*(3*sin(d*x + c)^5 - 10*sin(d*x + c)^3 + 15*sin(d*x + c))*B + 15*(12*d*x + 12*c + sin(4*d*x + 4*c) + 8*sin(2*d*x + 2*c))*C)/d","A",0
47,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))*(b*sec(d*x + c))^(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))*sqrt(b*sec(d*x + c)), x)","F",0
49,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/sqrt(b*sec(d*x + c)), x)","F",0
50,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(5/2), x)","F",0
52,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(7/2), x)","F",0
53,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(9/2), x)","F",0
54,1,127,0,0.351137," ","integrate(sec(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{80 \, {\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} A + 16 \, {\left(3 \, \tan\left(d x + c\right)^{5} + 10 \, \tan\left(d x + c\right)^{3} + 15 \, \tan\left(d x + c\right)\right)} C - 15 \, B {\left(\frac{2 \, {\left(3 \, \sin\left(d x + c\right)^{3} - 5 \, \sin\left(d x + c\right)\right)}}{\sin\left(d x + c\right)^{4} - 2 \, \sin\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\sin\left(d x + c\right) + 1\right) + 3 \, \log\left(\sin\left(d x + c\right) - 1\right)\right)}}{240 \, d}"," ",0,"1/240*(80*(tan(d*x + c)^3 + 3*tan(d*x + c))*A + 16*(3*tan(d*x + c)^5 + 10*tan(d*x + c)^3 + 15*tan(d*x + c))*C - 15*B*(2*(3*sin(d*x + c)^3 - 5*sin(d*x + c))/(sin(d*x + c)^4 - 2*sin(d*x + c)^2 + 1) - 3*log(sin(d*x + c) + 1) + 3*log(sin(d*x + c) - 1)))/d","A",0
55,1,139,0,0.360406," ","integrate(sec(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{16 \, {\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} B - 3 \, C {\left(\frac{2 \, {\left(3 \, \sin\left(d x + c\right)^{3} - 5 \, \sin\left(d x + c\right)\right)}}{\sin\left(d x + c\right)^{4} - 2 \, \sin\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\sin\left(d x + c\right) + 1\right) + 3 \, \log\left(\sin\left(d x + c\right) - 1\right)\right)} - 12 \, A {\left(\frac{2 \, \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right) + 1\right) + \log\left(\sin\left(d x + c\right) - 1\right)\right)}}{48 \, d}"," ",0,"1/48*(16*(tan(d*x + c)^3 + 3*tan(d*x + c))*B - 3*C*(2*(3*sin(d*x + c)^3 - 5*sin(d*x + c))/(sin(d*x + c)^4 - 2*sin(d*x + c)^2 + 1) - 3*log(sin(d*x + c) + 1) + 3*log(sin(d*x + c) - 1)) - 12*A*(2*sin(d*x + c)/(sin(d*x + c)^2 - 1) - log(sin(d*x + c) + 1) + log(sin(d*x + c) - 1)))/d","A",0
56,1,79,0,0.338649," ","integrate(sec(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{4 \, {\left(\tan\left(d x + c\right)^{3} + 3 \, \tan\left(d x + c\right)\right)} C - 3 \, B {\left(\frac{2 \, \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right) + 1\right) + \log\left(\sin\left(d x + c\right) - 1\right)\right)} + 12 \, A \tan\left(d x + c\right)}{12 \, d}"," ",0,"1/12*(4*(tan(d*x + c)^3 + 3*tan(d*x + c))*C - 3*B*(2*sin(d*x + c)/(sin(d*x + c)^2 - 1) - log(sin(d*x + c) + 1) + log(sin(d*x + c) - 1)) + 12*A*tan(d*x + c))/d","A",0
57,1,75,0,0.435354," ","integrate(sec(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{C {\left(\frac{2 \, \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right) + 1\right) + \log\left(\sin\left(d x + c\right) - 1\right)\right)} - 4 \, A \log\left(\sec\left(d x + c\right) + \tan\left(d x + c\right)\right) - 4 \, B \tan\left(d x + c\right)}{4 \, d}"," ",0,"-1/4*(C*(2*sin(d*x + c)/(sin(d*x + c)^2 - 1) - log(sin(d*x + c) + 1) + log(sin(d*x + c) - 1)) - 4*A*log(sec(d*x + c) + tan(d*x + c)) - 4*B*tan(d*x + c))/d","A",0
58,1,34,0,0.389801," ","integrate(A+B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""maxima"")","A x + \frac{B \log\left(\sec\left(d x + c\right) + \tan\left(d x + c\right)\right)}{d} + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"A*x + B*log(sec(d*x + c) + tan(d*x + c))/d + C*tan(d*x + c)/d","A",0
59,1,46,0,0.458012," ","integrate(cos(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{2 \, {\left(d x + c\right)} B + C {\left(\log\left(\sin\left(d x + c\right) + 1\right) - \log\left(\sin\left(d x + c\right) - 1\right)\right)} + 2 \, A \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(2*(d*x + c)*B + C*(log(sin(d*x + c) + 1) - log(sin(d*x + c) - 1)) + 2*A*sin(d*x + c))/d","A",0
60,1,42,0,0.399024," ","integrate(cos(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c + \sin\left(2 \, d x + 2 \, c\right)\right)} A + 4 \, {\left(d x + c\right)} C + 4 \, B \sin\left(d x + c\right)}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c + sin(2*d*x + 2*c))*A + 4*(d*x + c)*C + 4*B*sin(d*x + c))/d","A",0
61,1,55,0,0.345741," ","integrate(cos(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{4 \, {\left(\sin\left(d x + c\right)^{3} - 3 \, \sin\left(d x + c\right)\right)} A - 3 \, {\left(2 \, d x + 2 \, c + \sin\left(2 \, d x + 2 \, c\right)\right)} B - 12 \, C \sin\left(d x + c\right)}{12 \, d}"," ",0,"-1/12*(4*(sin(d*x + c)^3 - 3*sin(d*x + c))*A - 3*(2*d*x + 2*c + sin(2*d*x + 2*c))*B - 12*C*sin(d*x + c))/d","A",0
62,1,77,0,0.663530," ","integrate(cos(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{3 \, {\left(12 \, d x + 12 \, c + \sin\left(4 \, d x + 4 \, c\right) + 8 \, \sin\left(2 \, d x + 2 \, c\right)\right)} A - 32 \, {\left(\sin\left(d x + c\right)^{3} - 3 \, \sin\left(d x + c\right)\right)} B + 24 \, {\left(2 \, d x + 2 \, c + \sin\left(2 \, d x + 2 \, c\right)\right)} C}{96 \, d}"," ",0,"1/96*(3*(12*d*x + 12*c + sin(4*d*x + 4*c) + 8*sin(2*d*x + 2*c))*A - 32*(sin(d*x + c)^3 - 3*sin(d*x + c))*B + 24*(2*d*x + 2*c + sin(2*d*x + 2*c))*C)/d","A",0
63,1,89,0,0.349539," ","integrate(cos(d*x+c)^5*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\frac{32 \, {\left(3 \, \sin\left(d x + c\right)^{5} - 10 \, \sin\left(d x + c\right)^{3} + 15 \, \sin\left(d x + c\right)\right)} A + 15 \, {\left(12 \, d x + 12 \, c + \sin\left(4 \, d x + 4 \, c\right) + 8 \, \sin\left(2 \, d x + 2 \, c\right)\right)} B - 160 \, {\left(\sin\left(d x + c\right)^{3} - 3 \, \sin\left(d x + c\right)\right)} C}{480 \, d}"," ",0,"1/480*(32*(3*sin(d*x + c)^5 - 10*sin(d*x + c)^3 + 15*sin(d*x + c))*A + 15*(12*d*x + 12*c + sin(4*d*x + 4*c) + 8*sin(2*d*x + 2*c))*B - 160*(sin(d*x + c)^3 - 3*sin(d*x + c))*C)/d","A",0
64,1,115,0,0.366416," ","integrate(cos(d*x+c)^6*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","-\frac{5 \, {\left(4 \, \sin\left(2 \, d x + 2 \, c\right)^{3} - 60 \, d x - 60 \, c - 9 \, \sin\left(4 \, d x + 4 \, c\right) - 48 \, \sin\left(2 \, d x + 2 \, c\right)\right)} A - 64 \, {\left(3 \, \sin\left(d x + c\right)^{5} - 10 \, \sin\left(d x + c\right)^{3} + 15 \, \sin\left(d x + c\right)\right)} B - 30 \, {\left(12 \, d x + 12 \, c + \sin\left(4 \, d x + 4 \, c\right) + 8 \, \sin\left(2 \, d x + 2 \, c\right)\right)} C}{960 \, d}"," ",0,"-1/960*(5*(4*sin(2*d*x + 2*c)^3 - 60*d*x - 60*c - 9*sin(4*d*x + 4*c) - 48*sin(2*d*x + 2*c))*A - 64*(3*sin(d*x + c)^5 - 10*sin(d*x + c)^3 + 15*sin(d*x + c))*B - 30*(12*d*x + 12*c + sin(4*d*x + 4*c) + 8*sin(2*d*x + 2*c))*C)/d","A",0
65,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*(b*sec(d*x + c))^(3/2), x)","F",0
66,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""maxima"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c)), x)","F",0
67,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/sqrt(b*sec(d*x + c)), x)","F",0
68,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(5/2), x)","F",0
70,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(7/2), x)","F",0
