1,0,0,0,0.000000," ","integrate(x^5*(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)} x^{5}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)*x^5, x)","F",0
2,0,0,0,0.000000," ","integrate(x^4*(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)*x^4, x)","F",0
3,0,0,0,0.000000," ","integrate(x^3*(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)*x^3, x)","F",0
4,0,0,0,0.000000," ","integrate(x^2*(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)*x^2, x)","F",0
5,1,50,0,0.546263," ","integrate(x*(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} a + b \log\left({\left| \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + 1 \right|}\right) - b \log\left({\left| \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) - 1 \right|}\right)}{2 \, d}"," ",0,"1/2*((d*x^2 + c)*a + b*log(abs(tan(1/2*d*x^2 + 1/2*c) + 1)) - b*log(abs(tan(1/2*d*x^2 + 1/2*c) - 1)))/d","B",0
6,0,0,0,0.000000," ","integrate((a+b*sec(d*x^2+c))/x,x, algorithm=""giac"")","\int \frac{b \sec\left(d x^{2} + c\right) + a}{x}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)/x, x)","F",0
7,0,0,0,0.000000," ","integrate((a+b*sec(d*x^2+c))/x^2,x, algorithm=""giac"")","\int \frac{b \sec\left(d x^{2} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)/x^2, x)","F",0
8,0,0,0,0.000000," ","integrate(x^5*(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{5}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2*x^5, x)","F",0
9,0,0,0,0.000000," ","integrate(x^4*(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{4}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2*x^4, x)","F",0
10,0,0,0,0.000000," ","integrate(x^3*(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2*x^3, x)","F",0
11,0,0,0,0.000000," ","integrate(x^2*(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2*x^2, x)","F",0
12,1,88,0,0.858664," ","integrate(x*(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} a^{2} + 2 \, a b \log\left({\left| \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + 1 \right|}\right) - 2 \, a b \log\left({\left| \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, b^{2} \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)}{\tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)^{2} - 1}}{2 \, d}"," ",0,"1/2*((d*x^2 + c)*a^2 + 2*a*b*log(abs(tan(1/2*d*x^2 + 1/2*c) + 1)) - 2*a*b*log(abs(tan(1/2*d*x^2 + 1/2*c) - 1)) - 2*b^2*tan(1/2*d*x^2 + 1/2*c)/(tan(1/2*d*x^2 + 1/2*c)^2 - 1))/d","B",0
13,0,0,0,0.000000," ","integrate((a+b*sec(d*x^2+c))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2/x, x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*sec(d*x^2+c))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)^2/x^2, x)","F",0
15,1,85,0,0.336460," ","integrate(x*sec(b*x^2+a)^7,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(15 \, \sin\left(b x^{2} + a\right)^{5} - 40 \, \sin\left(b x^{2} + a\right)^{3} + 33 \, \sin\left(b x^{2} + a\right)\right)}}{{\left(\sin\left(b x^{2} + a\right)^{2} - 1\right)}^{3}} - 15 \, \log\left(\sin\left(b x^{2} + a\right) + 1\right) + 15 \, \log\left(-\sin\left(b x^{2} + a\right) + 1\right)}{192 \, b}"," ",0,"-1/192*(2*(15*sin(b*x^2 + a)^5 - 40*sin(b*x^2 + a)^3 + 33*sin(b*x^2 + a))/(sin(b*x^2 + a)^2 - 1)^3 - 15*log(sin(b*x^2 + a) + 1) + 15*log(-sin(b*x^2 + a) + 1))/b","A",0
16,0,0,0,0.000000," ","integrate(x^5/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{5}}{b \sec\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^5/(b*sec(d*x^2 + c) + a), x)","F",0
17,0,0,0,0.000000," ","integrate(x^4/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{4}}{b \sec\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^4/(b*sec(d*x^2 + c) + a), x)","F",0
18,0,0,0,0.000000," ","integrate(x^3/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{3}}{b \sec\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*sec(d*x^2 + c) + a), x)","F",0
19,0,0,0,0.000000," ","integrate(x^2/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{b \sec\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sec(d*x^2 + c) + a), x)","F",0
20,1,278,0,0.499980," ","integrate(x/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\frac{{\left(\sqrt{-a^{2} + b^{2}} {\left(a - 2 \, b\right)} d {\left| -a + b \right|} - \sqrt{-a^{2} + b^{2}} {\left| a \right|} {\left| -a + b \right|} {\left| d \right|}\right)} {\left(\pi \left \lfloor \frac{d x^{2} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)}{\sqrt{-\frac{b d + \sqrt{b^{2} d^{2} + {\left(a d + b d\right)} {\left(a d - b d\right)}}}{a d - b d}}}\right)\right)}}{2 \, {\left({\left(a^{2} - 2 \, a b + b^{2}\right)} a^{2} d^{2} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d {\left| a \right|} {\left| d \right|}\right)}} + \frac{{\left(a d - 2 \, b d + {\left| a \right|} {\left| d \right|}\right)} {\left(\pi \left \lfloor \frac{d x^{2} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)}{\sqrt{-\frac{b d - \sqrt{b^{2} d^{2} + {\left(a d + b d\right)} {\left(a d - b d\right)}}}{a d - b d}}}\right)\right)}}{2 \, {\left(a^{2} d^{2} - b d {\left| a \right|} {\left| d \right|}\right)}}"," ",0,"1/2*(sqrt(-a^2 + b^2)*(a - 2*b)*d*abs(-a + b) - sqrt(-a^2 + b^2)*abs(a)*abs(-a + b)*abs(d))*(pi*floor(1/2*(d*x^2 + c)/pi + 1/2) + arctan(tan(1/2*d*x^2 + 1/2*c)/sqrt(-(b*d + sqrt(b^2*d^2 + (a*d + b*d)*(a*d - b*d)))/(a*d - b*d))))/((a^2 - 2*a*b + b^2)*a^2*d^2 + (a^2*b - 2*a*b^2 + b^3)*d*abs(a)*abs(d)) + 1/2*(a*d - 2*b*d + abs(a)*abs(d))*(pi*floor(1/2*(d*x^2 + c)/pi + 1/2) + arctan(tan(1/2*d*x^2 + 1/2*c)/sqrt(-(b*d - sqrt(b^2*d^2 + (a*d + b*d)*(a*d - b*d)))/(a*d - b*d))))/(a^2*d^2 - b*d*abs(a)*abs(d))","B",0
21,0,0,0,0.000000," ","integrate(1/x/(a+b*sec(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d x^{2} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sec(d*x^2 + c) + a)*x), x)","F",0
22,0,0,0,0.000000," ","integrate((a+b*sec(d*x^2+c))/x^2,x, algorithm=""giac"")","\int \frac{b \sec\left(d x^{2} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*x^2 + c) + a)/x^2, x)","F",0
23,0,0,0,0.000000," ","integrate(x^5/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^5/(b*sec(d*x^2 + c) + a)^2, x)","F",0
24,0,0,0,0.000000," ","integrate(x^4/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{4}}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/(b*sec(d*x^2 + c) + a)^2, x)","F",0
25,0,0,0,0.000000," ","integrate(x^3/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(b*sec(d*x^2 + c) + a)^2, x)","F",0
26,0,0,0,0.000000," ","integrate(x^2/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*sec(d*x^2 + c) + a)^2, x)","F",0
27,1,195,0,0.541075," ","integrate(x/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","-\frac{b^{2} \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)}{{\left(a^{3} d - a b^{2} d\right)} {\left(a \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)^{2} - b \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)^{2} - a - b\right)}} + \frac{{\left(2 \, a^{2} b - b^{3}\right)} {\left(\pi \left \lfloor \frac{d x^{2} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(2 \, a - 2 \, b\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) - b \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)}{\sqrt{-a^{2} + b^{2}}}\right)\right)}}{{\left(a^{4} d - a^{2} b^{2} d\right)} \sqrt{-a^{2} + b^{2}}} + \frac{d x^{2} + c}{2 \, a^{2} d}"," ",0,"-b^2*tan(1/2*d*x^2 + 1/2*c)/((a^3*d - a*b^2*d)*(a*tan(1/2*d*x^2 + 1/2*c)^2 - b*tan(1/2*d*x^2 + 1/2*c)^2 - a - b)) + (2*a^2*b - b^3)*(pi*floor(1/2*(d*x^2 + c)/pi + 1/2)*sgn(2*a - 2*b) + arctan((a*tan(1/2*d*x^2 + 1/2*c) - b*tan(1/2*d*x^2 + 1/2*c))/sqrt(-a^2 + b^2)))/((a^4*d - a^2*b^2*d)*sqrt(-a^2 + b^2)) + 1/2*(d*x^2 + c)/(a^2*d)","A",0
28,0,0,0,0.000000," ","integrate(1/x/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sec(d*x^2 + c) + a)^2*x), x)","F",0
29,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x^2 + c) + a)^2*x^2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sec(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d x^{2} + c\right) + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x^2 + c) + a)^2*x^3), x)","F",0
31,0,0,0,0.000000," ","integrate(x^3*(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)*x^3, x)","F",0
32,0,0,0,0.000000," ","integrate(x^2*(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)*x^2, x)","F",0
33,0,0,0,0.000000," ","integrate(x*(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)*x, x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))/x,x, algorithm=""giac"")","\int \frac{b \sec\left(d \sqrt{x} + c\right) + a}{x}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)/x, x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))/x^2,x, algorithm=""giac"")","\int \frac{b \sec\left(d \sqrt{x} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)/x^2, x)","F",0
36,0,0,0,0.000000," ","integrate(x^3*(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2*x^3, x)","F",0
37,0,0,0,0.000000," ","integrate(x^2*(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2*x^2, x)","F",0
38,0,0,0,0.000000," ","integrate(x*(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2*x, x)","F",0
39,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2/x, x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2/x^2, x)","F",0
41,0,0,0,0.000000," ","integrate(x^3/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{3}}{b \sec\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*sec(d*sqrt(x) + c) + a), x)","F",0
42,0,0,0,0.000000," ","integrate(x^2/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{2}}{b \sec\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sec(d*sqrt(x) + c) + a), x)","F",0
43,0,0,0,0.000000," ","integrate(x/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x}{b \sec\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x/(b*sec(d*sqrt(x) + c) + a), x)","F",0
44,0,0,0,0.000000," ","integrate(1/x/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)*x), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))/x^2,x, algorithm=""giac"")","\int \frac{b \sec\left(d \sqrt{x} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)/x^2, x)","F",0
46,-2,0,0,0.000000," ","integrate(x^3/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 1.64Not invertible Error: Bad Argument Value","F(-2)",0
47,0,0,0,0.000000," ","integrate(x^2/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*sec(d*sqrt(x) + c) + a)^2, x)","F",0
48,0,0,0,0.000000," ","integrate(x/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{x}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x/(b*sec(d*sqrt(x) + c) + a)^2, x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)^2*x), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)^2*x^2), x)","F",0
51,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)*x^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))*x^(1/2),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} \sqrt{x}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)*sqrt(x), x)","F",0
53,1,50,0,0.848164," ","integrate((a+b*sec(c+d*x^(1/2)))/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(d \sqrt{x} + c\right)} a + b \log\left({\left| \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right) + 1 \right|}\right) - b \log\left({\left| \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right) - 1 \right|}\right)\right)}}{d}"," ",0,"2*((d*sqrt(x) + c)*a + b*log(abs(tan(1/2*d*sqrt(x) + 1/2*c) + 1)) - b*log(abs(tan(1/2*d*sqrt(x) + 1/2*c) - 1)))/d","B",0
54,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))/x^(3/2),x, algorithm=""giac"")","\int \frac{b \sec\left(d \sqrt{x} + c\right) + a}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)/x^(3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))/x^(5/2),x, algorithm=""giac"")","\int \frac{b \sec\left(d \sqrt{x} + c\right) + a}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)/x^(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2*x^(3/2), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))^2*x^(1/2),x, algorithm=""giac"")","\int {\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} \sqrt{x}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2*sqrt(x), x)","F",0
58,1,88,0,0.747185," ","integrate((a+b*sec(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(d \sqrt{x} + c\right)} a^{2} + 2 \, a b \log\left({\left| \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right) + 1 \right|}\right) - 2 \, a b \log\left({\left| \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, b^{2} \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)}{\tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)^{2} - 1}\right)}}{d}"," ",0,"2*((d*sqrt(x) + c)*a^2 + 2*a*b*log(abs(tan(1/2*d*sqrt(x) + 1/2*c) + 1)) - 2*a*b*log(abs(tan(1/2*d*sqrt(x) + 1/2*c) - 1)) - 2*b^2*tan(1/2*d*sqrt(x) + 1/2*c)/(tan(1/2*d*sqrt(x) + 1/2*c)^2 - 1))/d","B",0
59,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))^2/x^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2/x^(3/2), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*sec(c+d*x^(1/2)))^2/x^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*sqrt(x) + c) + a)^2/x^(5/2), x)","F",0
61,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{\frac{3}{2}}}{b \sec\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^(3/2)/(b*sec(d*sqrt(x) + c) + a), x)","F",0
62,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{\sqrt{x}}{b \sec\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(x)/(b*sec(d*sqrt(x) + c) + a), x)","F",0
63,1,278,0,0.536802," ","integrate(1/(a+b*sec(c+d*x^(1/2)))/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\sqrt{-a^{2} + b^{2}} {\left(a - 2 \, b\right)} d {\left| -a + b \right|} - \sqrt{-a^{2} + b^{2}} {\left| a \right|} {\left| -a + b \right|} {\left| d \right|}\right)} {\left(\pi \left \lfloor \frac{d \sqrt{x} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)}{\sqrt{-\frac{b d + \sqrt{b^{2} d^{2} + {\left(a d + b d\right)} {\left(a d - b d\right)}}}{a d - b d}}}\right)\right)}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} a^{2} d^{2} + {\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} d {\left| a \right|} {\left| d \right|}} + \frac{2 \, {\left(a d - 2 \, b d + {\left| a \right|} {\left| d \right|}\right)} {\left(\pi \left \lfloor \frac{d \sqrt{x} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)}{\sqrt{-\frac{b d - \sqrt{b^{2} d^{2} + {\left(a d + b d\right)} {\left(a d - b d\right)}}}{a d - b d}}}\right)\right)}}{a^{2} d^{2} - b d {\left| a \right|} {\left| d \right|}}"," ",0,"2*(sqrt(-a^2 + b^2)*(a - 2*b)*d*abs(-a + b) - sqrt(-a^2 + b^2)*abs(a)*abs(-a + b)*abs(d))*(pi*floor(1/2*(d*sqrt(x) + c)/pi + 1/2) + arctan(tan(1/2*d*sqrt(x) + 1/2*c)/sqrt(-(b*d + sqrt(b^2*d^2 + (a*d + b*d)*(a*d - b*d)))/(a*d - b*d))))/((a^2 - 2*a*b + b^2)*a^2*d^2 + (a^2*b - 2*a*b^2 + b^3)*d*abs(a)*abs(d)) + 2*(a*d - 2*b*d + abs(a)*abs(d))*(pi*floor(1/2*(d*sqrt(x) + c)/pi + 1/2) + arctan(tan(1/2*d*sqrt(x) + 1/2*c)/sqrt(-(b*d - sqrt(b^2*d^2 + (a*d + b*d)*(a*d - b*d)))/(a*d - b*d))))/(a^2*d^2 - b*d*abs(a)*abs(d))","B",0
64,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)*x^(3/2)), x)","F",0
65,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*sec(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)*x^(5/2)), x)","F",0
66,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{x^{\frac{3}{2}}}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^(3/2)/(b*sec(d*sqrt(x) + c) + a)^2, x)","F",0
67,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{\sqrt{x}}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x)/(b*sec(d*sqrt(x) + c) + a)^2, x)","F",0
68,1,196,0,0.736006," ","integrate(1/(a+b*sec(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""giac"")","-\frac{4 \, b^{2} \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)}{{\left(a^{3} d - a b^{2} d\right)} {\left(a \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)^{2} - b \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)^{2} - a - b\right)}} + \frac{4 \, {\left(2 \, a^{2} b - b^{3}\right)} {\left(\pi \left \lfloor \frac{d \sqrt{x} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(2 \, a - 2 \, b\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right) - b \tan\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)}{\sqrt{-a^{2} + b^{2}}}\right)\right)}}{{\left(a^{4} d - a^{2} b^{2} d\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(d \sqrt{x} + c\right)}}{a^{2} d}"," ",0,"-4*b^2*tan(1/2*d*sqrt(x) + 1/2*c)/((a^3*d - a*b^2*d)*(a*tan(1/2*d*sqrt(x) + 1/2*c)^2 - b*tan(1/2*d*sqrt(x) + 1/2*c)^2 - a - b)) + 4*(2*a^2*b - b^3)*(pi*floor(1/2*(d*sqrt(x) + c)/pi + 1/2)*sgn(2*a - 2*b) + arctan((a*tan(1/2*d*sqrt(x) + 1/2*c) - b*tan(1/2*d*sqrt(x) + 1/2*c))/sqrt(-a^2 + b^2)))/((a^4*d - a^2*b^2*d)*sqrt(-a^2 + b^2)) + 2*(d*sqrt(x) + c)/(a^2*d)","A",0
69,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)^2*x^(3/2)), x)","F",0
70,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*sec(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*sqrt(x) + c) + a)^2*x^(5/2)), x)","F",0
71,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sec(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \sec\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sec(d*x^n + c) + a)^p, x)","F",0
72,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)*(e*x)^(n - 1), x)","F",0
73,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{2 \, n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)*(e*x)^(2*n - 1), x)","F",0
74,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{3 \, n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)*(e*x)^(3*n - 1), x)","F",0
75,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)^2*(e*x)^(n - 1), x)","F",0
76,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{2 \, n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)^2*(e*x)^(2*n - 1), x)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{3 \, n - 1}\,{d x}"," ",0,"integrate((b*sec(d*x^n + c) + a)^2*(e*x)^(3*n - 1), x)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{n - 1}}{b \sec\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(n - 1)/(b*sec(d*x^n + c) + a), x)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{2 \, n - 1}}{b \sec\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)/(b*sec(d*x^n + c) + a), x)","F",0
80,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*sec(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{3 \, n - 1}}{b \sec\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(3*n - 1)/(b*sec(d*x^n + c) + a), x)","F",0
81,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{n - 1}}{{\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(n - 1)/(b*sec(d*x^n + c) + a)^2, x)","F",0
82,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{2 \, n - 1}}{{\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)/(b*sec(d*x^n + c) + a)^2, x)","F",0
83,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*sec(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{3 \, n - 1}}{{\left(b \sec\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(3*n - 1)/(b*sec(d*x^n + c) + a)^2, x)","F",0
