1,1,288,0,1.370663," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^7,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{35 \, b}{\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} + 1} + \frac{16 \, a - 77 \, b - \frac{112 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{504 \, b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{336 \, a {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{1337 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{560 \, a {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} + \frac{1680 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{1015 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}} + \frac{280 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{5}}{{\left(\cos\left(f x + e\right) + 1\right)}^{5}} - \frac{35 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{6}}{{\left(\cos\left(f x + e\right) + 1\right)}^{6}}}{{\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{7}}\right)}}{35 \, f}"," ",0,"2/35*(35*b/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 1) + (16*a - 77*b - 112*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 504*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 336*a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 1337*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 560*a*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 + 1680*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 1015*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4 + 280*b*(cos(f*x + e) - 1)^5/(cos(f*x + e) + 1)^5 - 35*b*(cos(f*x + e) - 1)^6/(cos(f*x + e) + 1)^6)/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^7)/f","B",0
2,1,213,0,0.495857," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^5,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{15 \, b}{\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} + 1} + \frac{8 \, a - 25 \, b - \frac{40 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{110 \, b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{80 \, a {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{160 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{90 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{15 \, b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}}{{\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{5}}\right)}}{15 \, f}"," ",0,"2/15*(15*b/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 1) + (8*a - 25*b - 40*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 110*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 80*a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 160*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 90*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 15*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5)/f","B",0
3,1,61,0,0.228077," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^3,x, algorithm=""giac"")","\frac{b}{f \cos\left(f x + e\right)} + \frac{a f^{5} \cos\left(f x + e\right)^{3} - 3 \, a f^{5} \cos\left(f x + e\right) + 3 \, b f^{5} \cos\left(f x + e\right)}{3 \, f^{6}}"," ",0,"b/(f*cos(f*x + e)) + 1/3*(a*f^5*cos(f*x + e)^3 - 3*a*f^5*cos(f*x + e) + 3*b*f^5*cos(f*x + e))/f^6","A",0
4,1,28,0,1.792473," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e),x, algorithm=""giac"")","-\frac{a \cos\left(f x + e\right)}{f} + \frac{b}{f \cos\left(f x + e\right)}"," ",0,"-a*cos(f*x + e)/f + b/(f*cos(f*x + e))","A",0
5,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)+(a+b)/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
6,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/16+(-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-14*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+b+a)*1/16/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))-(-3*b-a)/8*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
7,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)+(-90*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/4096+(15*b+3*a)/32*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
8,1,113,0,1.342374," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^6,x, algorithm=""giac"")","\frac{15 \, {\left(f x + e\right)} {\left(a - 6 \, b\right)} + 48 \, b \tan\left(f x + e\right) - \frac{33 \, a \tan\left(f x + e\right)^{5} - 54 \, b \tan\left(f x + e\right)^{5} + 40 \, a \tan\left(f x + e\right)^{3} - 96 \, b \tan\left(f x + e\right)^{3} + 15 \, a \tan\left(f x + e\right) - 42 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3}}}{48 \, f}"," ",0,"1/48*(15*(f*x + e)*(a - 6*b) + 48*b*tan(f*x + e) - (33*a*tan(f*x + e)^5 - 54*b*tan(f*x + e)^5 + 40*a*tan(f*x + e)^3 - 96*b*tan(f*x + e)^3 + 15*a*tan(f*x + e) - 42*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^3)/f","A",0
9,1,89,0,0.233423," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^4,x, algorithm=""giac"")","\frac{3 \, {\left(f x + e\right)} {\left(a - 4 \, b\right)} + 8 \, b \tan\left(f x + e\right) - \frac{5 \, a \tan\left(f x + e\right)^{3} - 4 \, b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) - 4 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2}}}{8 \, f}"," ",0,"1/8*(3*(f*x + e)*(a - 4*b) + 8*b*tan(f*x + e) - (5*a*tan(f*x + e)^3 - 4*b*tan(f*x + e)^3 + 3*a*tan(f*x + e) - 4*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^2)/f","A",0
10,1,51,0,0.258579," ","integrate((a+b*sec(f*x+e)^2)*sin(f*x+e)^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} {\left(a - 2 \, b\right)} + 2 \, b \tan\left(f x + e\right) - \frac{a \tan\left(f x + e\right)}{\tan\left(f x + e\right)^{2} + 1}}{2 \, f}"," ",0,"1/2*((f*x + e)*(a - 2*b) + 2*b*tan(f*x + e) - a*tan(f*x + e)/(tan(f*x + e)^2 + 1))/f","A",0
11,1,16,0,1.436283," ","integrate(a+b*sec(f*x+e)^2,x, algorithm=""giac"")","a x + \frac{b \tan\left(f x + e\right)}{f}"," ",0,"a*x + b*tan(f*x + e)/f","A",0
12,1,28,0,0.242226," ","integrate(csc(f*x+e)^2*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{b \tan\left(f x + e\right) - \frac{a + b}{\tan\left(f x + e\right)}}{f}"," ",0,"(b*tan(f*x + e) - (a + b)/tan(f*x + e))/f","A",0
13,1,54,0,0.303530," ","integrate(csc(f*x+e)^4*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, b \tan\left(f x + e\right) - \frac{3 \, a \tan\left(f x + e\right)^{2} + 6 \, b \tan\left(f x + e\right)^{2} + a + b}{\tan\left(f x + e\right)^{3}}}{3 \, f}"," ",0,"1/3*(3*b*tan(f*x + e) - (3*a*tan(f*x + e)^2 + 6*b*tan(f*x + e)^2 + a + b)/tan(f*x + e)^3)/f","A",0
14,1,82,0,0.944607," ","integrate(csc(f*x+e)^6*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{15 \, b \tan\left(f x + e\right) - \frac{15 \, a \tan\left(f x + e\right)^{4} + 45 \, b \tan\left(f x + e\right)^{4} + 10 \, a \tan\left(f x + e\right)^{2} + 15 \, b \tan\left(f x + e\right)^{2} + 3 \, a + 3 \, b}{\tan\left(f x + e\right)^{5}}}{15 \, f}"," ",0,"1/15*(15*b*tan(f*x + e) - (15*a*tan(f*x + e)^4 + 45*b*tan(f*x + e)^4 + 10*a*tan(f*x + e)^2 + 15*b*tan(f*x + e)^2 + 3*a + 3*b)/tan(f*x + e)^5)/f","A",0
15,1,446,0,0.492377," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e)^5,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{5 \, {\left(6 \, a b - 5 \, b^{2} + \frac{12 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{12 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{6 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{3 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}}\right)}}{{\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} + 1\right)}^{3}} + \frac{8 \, a^{2} - 50 \, a b + 15 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{220 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{60 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{80 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{320 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{90 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{180 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{60 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{30 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}} + \frac{15 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}}{{\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{5}}\right)}}{15 \, f}"," ",0,"2/15*(5*(6*a*b - 5*b^2 + 12*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 12*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 6*a*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 3*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 1)^3 + (8*a^2 - 50*a*b + 15*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 220*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 60*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 80*a^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 320*a*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 90*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 180*a*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 60*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 30*a*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4 + 15*b^2*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5)/f","B",0
16,1,97,0,0.401256," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e)^3,x, algorithm=""giac"")","\frac{6 \, a b \cos\left(f x + e\right)^{2} - 3 \, b^{2} \cos\left(f x + e\right)^{2} + b^{2}}{3 \, f \cos\left(f x + e\right)^{3}} + \frac{a^{2} f^{11} \cos\left(f x + e\right)^{3} - 3 \, a^{2} f^{11} \cos\left(f x + e\right) + 6 \, a b f^{11} \cos\left(f x + e\right)}{3 \, f^{12}}"," ",0,"1/3*(6*a*b*cos(f*x + e)^2 - 3*b^2*cos(f*x + e)^2 + b^2)/(f*cos(f*x + e)^3) + 1/3*(a^2*f^11*cos(f*x + e)^3 - 3*a^2*f^11*cos(f*x + e) + 6*a*b*f^11*cos(f*x + e))/f^12","A",0
17,1,47,0,1.359713," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e),x, algorithm=""giac"")","-\frac{a^{2} \cos\left(f x + e\right)}{f} + \frac{6 \, a b \cos\left(f x + e\right)^{2} + b^{2}}{3 \, f \cos\left(f x + e\right)^{3}}"," ",0,"-a^2*cos(f*x + e)/f + 1/3*(6*a*b*cos(f*x + e)^2 + b^2)/(f*cos(f*x + e)^3)","A",0
18,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b+6*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-6*a*b-4*b^2)*1/3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^3+(a^2+2*a*b+b^2)/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
19,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-10*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)*1/16/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(-9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-7*b^2-6*b*a)*1/3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^3+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2)/16+(5*b^2+6*b*a+a^2)/8*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
20,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-210*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-180*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+18*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-10*b^2-6*b*a)*1/3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^3+(32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+768*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+1024*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2)/4096+(35*b^2+30*b*a+3*a^2)/32*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
21,1,197,0,1.273169," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e)^6,x, algorithm=""giac"")","\frac{16 \, b^{2} \tan\left(f x + e\right)^{3} + 96 \, a b \tan\left(f x + e\right) - 96 \, b^{2} \tan\left(f x + e\right) + 15 \, {\left(a^{2} - 12 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)} - \frac{33 \, a^{2} \tan\left(f x + e\right)^{5} - 108 \, a b \tan\left(f x + e\right)^{5} + 24 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} - 192 \, a b \tan\left(f x + e\right)^{3} + 48 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) - 84 \, a b \tan\left(f x + e\right) + 24 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3}}}{48 \, f}"," ",0,"1/48*(16*b^2*tan(f*x + e)^3 + 96*a*b*tan(f*x + e) - 96*b^2*tan(f*x + e) + 15*(a^2 - 12*a*b + 8*b^2)*(f*x + e) - (33*a^2*tan(f*x + e)^5 - 108*a*b*tan(f*x + e)^5 + 24*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 - 192*a*b*tan(f*x + e)^3 + 48*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) - 84*a*b*tan(f*x + e) + 24*b^2*tan(f*x + e))/(tan(f*x + e)^2 + 1)^3)/f","A",0
22,1,132,0,0.404203," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e)^4,x, algorithm=""giac"")","\frac{8 \, b^{2} \tan\left(f x + e\right)^{3} + 48 \, a b \tan\left(f x + e\right) - 24 \, b^{2} \tan\left(f x + e\right) + 3 \, {\left(3 \, a^{2} - 24 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)} - \frac{3 \, {\left(5 \, a^{2} \tan\left(f x + e\right)^{3} - 8 \, a b \tan\left(f x + e\right)^{3} + 3 \, a^{2} \tan\left(f x + e\right) - 8 \, a b \tan\left(f x + e\right)\right)}}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2}}}{24 \, f}"," ",0,"1/24*(8*b^2*tan(f*x + e)^3 + 48*a*b*tan(f*x + e) - 24*b^2*tan(f*x + e) + 3*(3*a^2 - 24*a*b + 8*b^2)*(f*x + e) - 3*(5*a^2*tan(f*x + e)^3 - 8*a*b*tan(f*x + e)^3 + 3*a^2*tan(f*x + e) - 8*a*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^2)/f","A",0
23,1,72,0,1.367003," ","integrate((a+b*sec(f*x+e)^2)^2*sin(f*x+e)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} \tan\left(f x + e\right)^{3} + 12 \, a b \tan\left(f x + e\right) + 3 \, {\left(a^{2} - 4 \, a b\right)} {\left(f x + e\right)} - \frac{3 \, a^{2} \tan\left(f x + e\right)}{\tan\left(f x + e\right)^{2} + 1}}{6 \, f}"," ",0,"1/6*(2*b^2*tan(f*x + e)^3 + 12*a*b*tan(f*x + e) + 3*(a^2 - 4*a*b)*(f*x + e) - 3*a^2*tan(f*x + e)/(tan(f*x + e)^2 + 1))/f","A",0
24,1,53,0,0.217476," ","integrate((a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right)^{3} + 3 \, {\left(f x + e\right)} a^{2} + 6 \, a b \tan\left(f x + e\right) + 3 \, b^{2} \tan\left(f x + e\right)}{3 \, f}"," ",0,"1/3*(b^2*tan(f*x + e)^3 + 3*(f*x + e)*a^2 + 6*a*b*tan(f*x + e) + 3*b^2*tan(f*x + e))/f","A",0
25,1,64,0,0.311917," ","integrate(csc(f*x+e)^2*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right)^{3} + 6 \, a b \tan\left(f x + e\right) + 6 \, b^{2} \tan\left(f x + e\right) - \frac{3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}{\tan\left(f x + e\right)}}{3 \, f}"," ",0,"1/3*(b^2*tan(f*x + e)^3 + 6*a*b*tan(f*x + e) + 6*b^2*tan(f*x + e) - 3*(a^2 + 2*a*b + b^2)/tan(f*x + e))/f","A",0
26,1,105,0,0.797473," ","integrate(csc(f*x+e)^4*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right)^{3} + 6 \, a b \tan\left(f x + e\right) + 9 \, b^{2} \tan\left(f x + e\right) - \frac{3 \, a^{2} \tan\left(f x + e\right)^{2} + 12 \, a b \tan\left(f x + e\right)^{2} + 9 \, b^{2} \tan\left(f x + e\right)^{2} + a^{2} + 2 \, a b + b^{2}}{\tan\left(f x + e\right)^{3}}}{3 \, f}"," ",0,"1/3*(b^2*tan(f*x + e)^3 + 6*a*b*tan(f*x + e) + 9*b^2*tan(f*x + e) - (3*a^2*tan(f*x + e)^2 + 12*a*b*tan(f*x + e)^2 + 9*b^2*tan(f*x + e)^2 + a^2 + 2*a*b + b^2)/tan(f*x + e)^3)/f","A",0
27,1,151,0,0.385357," ","integrate(csc(f*x+e)^6*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{5 \, b^{2} \tan\left(f x + e\right)^{3} + 30 \, a b \tan\left(f x + e\right) + 60 \, b^{2} \tan\left(f x + e\right) - \frac{15 \, a^{2} \tan\left(f x + e\right)^{4} + 90 \, a b \tan\left(f x + e\right)^{4} + 90 \, b^{2} \tan\left(f x + e\right)^{4} + 10 \, a^{2} \tan\left(f x + e\right)^{2} + 30 \, a b \tan\left(f x + e\right)^{2} + 20 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}}{\tan\left(f x + e\right)^{5}}}{15 \, f}"," ",0,"1/15*(5*b^2*tan(f*x + e)^3 + 30*a*b*tan(f*x + e) + 60*b^2*tan(f*x + e) - (15*a^2*tan(f*x + e)^4 + 90*a*b*tan(f*x + e)^4 + 90*b^2*tan(f*x + e)^4 + 10*a^2*tan(f*x + e)^2 + 30*a*b*tan(f*x + e)^2 + 20*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/tan(f*x + e)^5)/f","A",0
28,1,373,0,0.269229," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} \arctan\left(-\frac{a \cos\left(f x + e\right) - b}{\sqrt{a b} \cos\left(f x + e\right) + \sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{2 \, {\left(8 \, a^{2} + 25 \, a b + 15 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{110 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{60 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{80 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{160 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{90 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{90 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{60 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} + \frac{15 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}} + \frac{15 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}\right)}}{a^{3} {\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{5}}}{15 \, f}"," ",0,"-1/15*(15*(a^2*b + 2*a*b^2 + b^3)*arctan(-(a*cos(f*x + e) - b)/(sqrt(a*b)*cos(f*x + e) + sqrt(a*b)))/(sqrt(a*b)*a^3) - 2*(8*a^2 + 25*a*b + 15*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 110*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 60*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 80*a^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 160*a*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 90*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 90*a*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 60*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 + 15*a*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4 + 15*b^2*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/(a^3*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
29,1,89,0,0.251483," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{{\left(a b + b^{2}\right)} \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2} f} + \frac{a^{2} f^{5} \cos\left(f x + e\right)^{3} - 3 \, a^{2} f^{5} \cos\left(f x + e\right) - 3 \, a b f^{5} \cos\left(f x + e\right)}{3 \, a^{3} f^{6}}"," ",0,"(a*b + b^2)*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a^2*f) + 1/3*(a^2*f^5*cos(f*x + e)^3 - 3*a^2*f^5*cos(f*x + e) - 3*a*b*f^5*cos(f*x + e))/(a^3*f^6)","A",0
30,1,44,0,0.541805," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{b \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{\sqrt{a b} a f} - \frac{\cos\left(f x + e\right)}{a f}"," ",0,"b*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a*f) - cos(f*x + e)/(a*f)","A",0
31,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a+4*b)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-2*b*1/4/(a+b)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b))))","F(-2)",0
32,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b+16*a)+(2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)/(16*b^2+32*b*a+16*a^2)/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2*b*a*1/4/(b^2+2*b*a+a^2)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b)))+(-b+a)/(8*b^2+16*b*a+8*a^2)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
33,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/(4096*b^2+8192*b*a+4096*a^2)+(6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+36*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)/(128*b^3+384*b^2*a+384*b*a^2+128*a^3)/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-2*b*a^2*1/4/(b^3+3*b^2*a+3*b*a^2+a^3)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b)))+(-b^2-6*b*a+3*a^2)/(32*b^3+96*b^2*a+96*b*a^2+32*a^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
34,1,250,0,0.263840," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, a^{3} + 30 \, a^{2} b + 40 \, a b^{2} + 16 \, b^{3}\right)} {\left(f x + e\right)}}{a^{4}} - \frac{48 \, {\left(a^{3} b + 3 \, a^{2} b^{2} + 3 \, a b^{3} + b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{4}} - \frac{33 \, a^{2} \tan\left(f x + e\right)^{5} + 54 \, a b \tan\left(f x + e\right)^{5} + 24 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} + 96 \, a b \tan\left(f x + e\right)^{3} + 48 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) + 42 \, a b \tan\left(f x + e\right) + 24 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{3}}}{48 \, f}"," ",0,"1/48*(3*(5*a^3 + 30*a^2*b + 40*a*b^2 + 16*b^3)*(f*x + e)/a^4 - 48*(a^3*b + 3*a^2*b^2 + 3*a*b^3 + b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^4) - (33*a^2*tan(f*x + e)^5 + 54*a*b*tan(f*x + e)^5 + 24*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 + 96*a*b*tan(f*x + e)^3 + 48*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) + 42*a*b*tan(f*x + e) + 24*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^3))/f","A",0
35,1,160,0,0.263021," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{{\left(3 \, a^{2} + 12 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)}}{a^{3}} - \frac{8 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{3}} - \frac{5 \, a \tan\left(f x + e\right)^{3} + 4 \, b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) + 4 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} a^{2}}}{8 \, f}"," ",0,"1/8*((3*a^2 + 12*a*b + 8*b^2)*(f*x + e)/a^3 - 8*(a^2*b + 2*a*b^2 + b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^3) - (5*a*tan(f*x + e)^3 + 4*b*tan(f*x + e)^3 + 3*a*tan(f*x + e) + 4*b*tan(f*x + e))/((tan(f*x + e)^2 + 1)^2*a^2))/f","A",0
36,1,97,0,1.448454," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} {\left(a + 2 \, b\right)}}{a^{2}} - \frac{2 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} \sqrt{a b + b^{2}}}{a^{2}} - \frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} a}}{2 \, f}"," ",0,"1/2*((f*x + e)*(a + 2*b)/a^2 - 2*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*sqrt(a*b + b^2)/a^2 - tan(f*x + e)/((tan(f*x + e)^2 + 1)*a))/f","A",0
37,1,68,0,0.761041," ","integrate(1/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{\sqrt{a b + b^{2}} a} - \frac{f x + e}{a}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/(sqrt(a*b + b^2)*a) - (f*x + e)/a)/f","A",0
38,1,74,0,0.754642," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{\sqrt{a b + b^{2}} {\left(a + b\right)}} + \frac{1}{{\left(a + b\right)} \tan\left(f x + e\right)}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/(sqrt(a*b + b^2)*(a + b)) + 1/((a + b)*tan(f*x + e)))/f","A",0
39,1,107,0,0.956542," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} a b}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{3 \, a \tan\left(f x + e\right)^{2} + a + b}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \tan\left(f x + e\right)^{3}}}{3 \, f}"," ",0,"-1/3*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*a*b/((a^2 + 2*a*b + b^2)*sqrt(a*b + b^2)) + (3*a*tan(f*x + e)^2 + a + b)/((a^2 + 2*a*b + b^2)*tan(f*x + e)^3))/f","A",0
40,1,180,0,0.303595," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} a^{2} b}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{4} + 10 \, a^{2} \tan\left(f x + e\right)^{2} + 15 \, a b \tan\left(f x + e\right)^{2} + 5 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)^{5}}}{15 \, f}"," ",0,"-1/15*(15*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*a^2*b/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(a*b + b^2)) + (15*a^2*tan(f*x + e)^4 + 10*a^2*tan(f*x + e)^2 + 15*a*b*tan(f*x + e)^2 + 5*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)^5))/f","A",0
41,1,545,0,1.405414," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, a^{2} b + 10 \, a b^{2} + 7 \, b^{3}\right)} \arctan\left(-\frac{a \cos\left(f x + e\right) - b}{\sqrt{a b} \cos\left(f x + e\right) + \sqrt{a b}}\right)}{\sqrt{a b} a^{4}} + \frac{30 \, {\left(a^{2} b + 2 \, a b^{2} + b^{3} + \frac{a^{2} b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{b^{3} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1}\right)}}{{\left(a + b + \frac{2 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{2 \, b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{a {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}}\right)} a^{4}} - \frac{4 \, {\left(8 \, a^{2} + 50 \, a b + 45 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{220 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{180 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{80 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{320 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{270 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{180 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{180 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} + \frac{30 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}} + \frac{45 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}\right)}}{a^{4} {\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{5}}}{30 \, f}"," ",0,"-1/30*(15*(3*a^2*b + 10*a*b^2 + 7*b^3)*arctan(-(a*cos(f*x + e) - b)/(sqrt(a*b)*cos(f*x + e) + sqrt(a*b)))/(sqrt(a*b)*a^4) + 30*(a^2*b + 2*a*b^2 + b^3 + a^2*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - b^3*(cos(f*x + e) - 1)/(cos(f*x + e) + 1))/((a + b + 2*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 2*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)*a^4) - 4*(8*a^2 + 50*a*b + 45*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 220*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 180*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 80*a^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 320*a*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 270*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 180*a*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 180*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 + 30*a*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4 + 45*b^2*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/(a^4*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
42,1,143,0,0.639412," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{{\left(3 \, a b + 5 \, b^{2}\right)} \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3} f} - \frac{\frac{a b \cos\left(f x + e\right)}{f} + \frac{b^{2} \cos\left(f x + e\right)}{f}}{2 \, {\left(a \cos\left(f x + e\right)^{2} + b\right)} a^{3}} + \frac{a^{4} f^{11} \cos\left(f x + e\right)^{3} - 3 \, a^{4} f^{11} \cos\left(f x + e\right) - 6 \, a^{3} b f^{11} \cos\left(f x + e\right)}{3 \, a^{6} f^{12}}"," ",0,"1/2*(3*a*b + 5*b^2)*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a^3*f) - 1/2*(a*b*cos(f*x + e)/f + b^2*cos(f*x + e)/f)/((a*cos(f*x + e)^2 + b)*a^3) + 1/3*(a^4*f^11*cos(f*x + e)^3 - 3*a^4*f^11*cos(f*x + e) - 6*a^3*b*f^11*cos(f*x + e))/(a^6*f^12)","A",0
43,1,76,0,0.491786," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, b \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2} f} - \frac{\cos\left(f x + e\right)}{a^{2} f} - \frac{b \cos\left(f x + e\right)}{2 \, {\left(a \cos\left(f x + e\right)^{2} + b\right)} a^{2} f}"," ",0,"3/2*b*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a^2*f) - cos(f*x + e)/(a^2*f) - 1/2*b*cos(f*x + e)/((a*cos(f*x + e)^2 + b)*a^2*f)","A",0
44,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a^2+8*a*b+4*b^2)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-3*a*b-b^2)*1/4/(a^3+2*a^2*b+a*b^2)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b)))+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-a*b-b^2)/(2*a^3+4*a^2*b+2*a*b^2)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b))","F(-2)",0
45,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b^2+32*b*a+16*a^2)+(6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2+4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2-15*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-3*b^2-6*b*a-3*a^2)/(48*b^3+144*b^2*a+144*b*a^2+48*a^3)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)+(-3*b+a)/(8*b^3+24*b^2*a+24*b*a^2+8*a^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(b^2-3*b*a)*1/4/(b^3+3*b^2*a+3*b*a^2+a^3)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b))))","F(-2)",0
46,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^2-b^2*a-b*a^2)/(2*b^4+8*b^3*a+12*b^2*a^2+8*b*a^3+2*a^4)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+108*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)/(128*b^4+512*b^3*a+768*b^2*a^2+512*b*a^3+128*a^4)/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2)/(4096*b^4+16384*b^3*a+24576*b^2*a^2+16384*b*a^3+4096*a^4)+(3*b^2*a-3*b*a^2)*1/4/(b^4+4*b^3*a+6*b^2*a^2+4*b*a^3+a^4)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b)))+(3*b^2-18*b*a+3*a^2)/(32*b^4+128*b^3*a+192*b^2*a^2+128*b*a^3+32*a^4)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
47,1,311,0,0.379402," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, a^{3} + 60 \, a^{2} b + 120 \, a b^{2} + 64 \, b^{3}\right)} {\left(f x + e\right)}}{a^{5}} - \frac{24 \, {\left(3 \, a^{3} b + 14 \, a^{2} b^{2} + 19 \, a b^{3} + 8 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{5}} - \frac{24 \, {\left(a^{2} b \tan\left(f x + e\right) + 2 \, a b^{2} \tan\left(f x + e\right) + b^{3} \tan\left(f x + e\right)\right)}}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} a^{4}} - \frac{33 \, a^{2} \tan\left(f x + e\right)^{5} + 108 \, a b \tan\left(f x + e\right)^{5} + 72 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} + 192 \, a b \tan\left(f x + e\right)^{3} + 144 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) + 84 \, a b \tan\left(f x + e\right) + 72 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{4}}}{48 \, f}"," ",0,"1/48*(3*(5*a^3 + 60*a^2*b + 120*a*b^2 + 64*b^3)*(f*x + e)/a^5 - 24*(3*a^3*b + 14*a^2*b^2 + 19*a*b^3 + 8*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^5) - 24*(a^2*b*tan(f*x + e) + 2*a*b^2*tan(f*x + e) + b^3*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)*a^4) - (33*a^2*tan(f*x + e)^5 + 108*a*b*tan(f*x + e)^5 + 72*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 + 192*a*b*tan(f*x + e)^3 + 144*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) + 84*a*b*tan(f*x + e) + 72*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^4))/f","A",0
48,1,204,0,0.345468," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(a^{2} + 8 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)}}{a^{4}} - \frac{12 \, {\left(a^{2} b + 3 \, a b^{2} + 2 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{4}} - \frac{4 \, {\left(a b \tan\left(f x + e\right) + b^{2} \tan\left(f x + e\right)\right)}}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} a^{3}} - \frac{5 \, a \tan\left(f x + e\right)^{3} + 8 \, b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) + 8 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} a^{3}}}{8 \, f}"," ",0,"1/8*(3*(a^2 + 8*a*b + 8*b^2)*(f*x + e)/a^4 - 12*(a^2*b + 3*a*b^2 + 2*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^4) - 4*(a*b*tan(f*x + e) + b^2*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)*a^3) - (5*a*tan(f*x + e)^3 + 8*b*tan(f*x + e)^3 + 3*a*tan(f*x + e) + 8*b*tan(f*x + e))/((tan(f*x + e)^2 + 1)^2*a^3))/f","A",0
49,1,158,0,0.313143," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} {\left(a + 4 \, b\right)}}{a^{3}} - \frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b + 4 \, b^{2}\right)}}{\sqrt{a b + b^{2}} a^{3}} - \frac{2 \, b \tan\left(f x + e\right)^{3} + a \tan\left(f x + e\right) + 2 \, b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{4} + a \tan\left(f x + e\right)^{2} + 2 \, b \tan\left(f x + e\right)^{2} + a + b\right)} a^{2}}}{2 \, f}"," ",0,"1/2*((f*x + e)*(a + 4*b)/a^3 - (pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b + 4*b^2)/(sqrt(a*b + b^2)*a^3) - (2*b*tan(f*x + e)^3 + a*tan(f*x + e) + 2*b*tan(f*x + e))/((b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + 2*b*tan(f*x + e)^2 + a + b)*a^2))/f","A",0
50,1,119,0,0.228656," ","integrate(1/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b + 2 \, b^{2}\right)}}{{\left(a^{3} + a^{2} b\right)} \sqrt{a b + b^{2}}} + \frac{b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a^{2} + a b\right)}} - \frac{2 \, {\left(f x + e\right)}}{a^{2}}}{2 \, f}"," ",0,"-1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b + 2*b^2)/((a^3 + a^2*b)*sqrt(a*b + b^2)) + b*tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*(a^2 + a*b)) - 2*(f*x + e)/a^2)/f","A",0
51,1,133,0,0.467943," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{3 \, b \tan\left(f x + e\right)^{2} + 2 \, a + 2 \, b}{{\left(b \tan\left(f x + e\right)^{3} + a \tan\left(f x + e\right) + b \tan\left(f x + e\right)\right)} {\left(a^{2} + 2 \, a b + b^{2}\right)}}}{2 \, f}"," ",0,"-1/2*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/((a^2 + 2*a*b + b^2)*sqrt(a*b + b^2)) + (3*b*tan(f*x + e)^2 + 2*a + 2*b)/((b*tan(f*x + e)^3 + a*tan(f*x + e) + b*tan(f*x + e))*(a^2 + 2*a*b + b^2)))/f","A",0
52,1,192,0,0.456702," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, a b \tan\left(f x + e\right)}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b - 2 \, b^{2}\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{2 \, {\left(3 \, a \tan\left(f x + e\right)^{2} - 3 \, b \tan\left(f x + e\right)^{2} + a + b\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)^{3}}}{6 \, f}"," ",0,"-1/6*(3*a*b*tan(f*x + e)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(b*tan(f*x + e)^2 + a + b)) + 3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b - 2*b^2)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(a*b + b^2)) + 2*(3*a*tan(f*x + e)^2 - 3*b*tan(f*x + e)^2 + a + b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)^3))/f","A",0
53,1,263,0,0.510334," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{15 \, a^{2} b \tan\left(f x + e\right)}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{15 \, {\left(3 \, a^{2} b - 4 \, a b^{2}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sqrt{a b + b^{2}}} + \frac{2 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} - 30 \, a b \tan\left(f x + e\right)^{4} + 10 \, a^{2} \tan\left(f x + e\right)^{2} + 10 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \tan\left(f x + e\right)^{5}}}{30 \, f}"," ",0,"-1/30*(15*a^2*b*tan(f*x + e)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*(b*tan(f*x + e)^2 + a + b)) + 15*(3*a^2*b - 4*a*b^2)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sqrt(a*b + b^2)) + 2*(15*a^2*tan(f*x + e)^4 - 30*a*b*tan(f*x + e)^4 + 10*a^2*tan(f*x + e)^2 + 10*a*b*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*tan(f*x + e)^5))/f","A",0
54,1,837,0,0.583148," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(15 \, a^{2} b + 70 \, a b^{2} + 63 \, b^{3}\right)} \arctan\left(-\frac{a \cos\left(f x + e\right) - b}{\sqrt{a b} \cos\left(f x + e\right) + \sqrt{a b}}\right)}{\sqrt{a b} a^{5}} + \frac{30 \, {\left(9 \, a^{3} b + 33 \, a^{2} b^{2} + 39 \, a b^{3} + 15 \, b^{4} + \frac{27 \, a^{3} b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{49 \, a^{2} b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{23 \, a b^{3} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{45 \, b^{4} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{27 \, a^{3} b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{27 \, a^{2} b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{3 \, a b^{3} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{45 \, b^{4} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{9 \, a^{3} b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} + \frac{11 \, a^{2} b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{13 \, a b^{3} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{15 \, b^{4} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}}\right)}}{{\left(a + b + \frac{2 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{2 \, b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{a {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}}\right)}^{2} a^{5}} - \frac{16 \, {\left(8 \, a^{2} + 75 \, a b + 90 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{330 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{360 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{80 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{480 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{540 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} - \frac{270 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} - \frac{360 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}} + \frac{45 \, a b {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}} + \frac{90 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}\right)}}{a^{5} {\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}^{5}}}{120 \, f}"," ",0,"-1/120*(15*(15*a^2*b + 70*a*b^2 + 63*b^3)*arctan(-(a*cos(f*x + e) - b)/(sqrt(a*b)*cos(f*x + e) + sqrt(a*b)))/(sqrt(a*b)*a^5) + 30*(9*a^3*b + 33*a^2*b^2 + 39*a*b^3 + 15*b^4 + 27*a^3*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 49*a^2*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 23*a*b^3*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 45*b^4*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 27*a^3*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 27*a^2*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 3*a*b^3*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 45*b^4*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 9*a^3*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 + 11*a^2*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 13*a*b^3*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 15*b^4*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3)/((a + b + 2*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 2*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)^2*a^5) - 16*(8*a^2 + 75*a*b + 90*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 330*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 360*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 80*a^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 480*a*b*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 540*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 - 270*a*b*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 360*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 + 45*a*b*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4 + 90*b^2*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/(a^5*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
55,1,183,0,0.499397," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{5 \, {\left(3 \, a b + 7 \, b^{2}\right)} \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4} f} - \frac{\frac{9 \, a^{2} b \cos\left(f x + e\right)^{3}}{f} + \frac{13 \, a b^{2} \cos\left(f x + e\right)^{3}}{f} + \frac{7 \, a b^{2} \cos\left(f x + e\right)}{f} + \frac{11 \, b^{3} \cos\left(f x + e\right)}{f}}{8 \, {\left(a \cos\left(f x + e\right)^{2} + b\right)}^{2} a^{4}} + \frac{a^{6} f^{17} \cos\left(f x + e\right)^{3} - 3 \, a^{6} f^{17} \cos\left(f x + e\right) - 9 \, a^{5} b f^{17} \cos\left(f x + e\right)}{3 \, a^{9} f^{18}}"," ",0,"5/8*(3*a*b + 7*b^2)*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a^4*f) - 1/8*(9*a^2*b*cos(f*x + e)^3/f + 13*a*b^2*cos(f*x + e)^3/f + 7*a*b^2*cos(f*x + e)/f + 11*b^3*cos(f*x + e)/f)/((a*cos(f*x + e)^2 + b)^2*a^4) + 1/3*(a^6*f^17*cos(f*x + e)^3 - 3*a^6*f^17*cos(f*x + e) - 9*a^5*b*f^17*cos(f*x + e))/(a^9*f^18)","A",0
56,1,97,0,0.402289," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{15 \, b \arctan\left(\frac{a \cos\left(f x + e\right)}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3} f} - \frac{\cos\left(f x + e\right)}{a^{3} f} - \frac{\frac{9 \, a b \cos\left(f x + e\right)^{3}}{f} + \frac{7 \, b^{2} \cos\left(f x + e\right)}{f}}{8 \, {\left(a \cos\left(f x + e\right)^{2} + b\right)}^{2} a^{3}}"," ",0,"15/8*b*arctan(a*cos(f*x + e)/sqrt(a*b))/(sqrt(a*b)*a^3*f) - cos(f*x + e)/(a^3*f) - 1/8*(9*a*b*cos(f*x + e)^3/f + 7*b^2*cos(f*x + e)/f)/((a*cos(f*x + e)^2 + b)^2*a^3)","A",0
57,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a^3+12*a^2*b+12*a*b^2+4*b^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-15*a^2*b-10*a*b^2-3*b^3)*1/4/(4*a^5+12*a^4*b+12*a^3*b^2+4*a^2*b^3)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b)))+(9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^2-13*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b+9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2-21*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3-9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4+27*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b+13*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^2-23*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3-9*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4-9*a^3*b-21*a^2*b^2-15*a*b^3-3*b^4)/(8*a^5+24*a^4*b+24*a^3*b^2+8*a^2*b^3)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b)^2)","F(-2)",0
58,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((10*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)/(16*b^4+64*b^3*a+96*b^2*a^2+64*b*a^3+16*a^4)/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4-13*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a-5*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^2+9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^3+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4-29*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a+21*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^2-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^3+3*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4-23*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^2+27*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^3+b^4-7*b^3*a-17*b^2*a^2-9*b*a^3)/(8*b^4*a+32*b^3*a^2+48*b^2*a^3+32*b*a^4+8*a^5)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)^2+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b^3+48*b^2*a+48*b*a^2+16*a^3)+(-5*b+a)/(8*b^4+32*b^3*a+48*b^2*a^2+32*b*a^3+8*a^4)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(b^3+10*b^2*a-15*b*a^2)*1/4/(4*b^4*a+16*b^3*a^2+24*b^2*a^3+16*b*a^4+4*a^5)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b))))","F(-2)",0
59,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3+96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a+96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^2+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3-512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3-768*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3)/(4096*b^6+24576*b^5*a+61440*b^4*a^2+81920*b^3*a^3+61440*b^2*a^4+24576*b*a^5+4096*a^6)+(-30*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^4+84*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^2*a^2+48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b*a^3-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^4-24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^4+72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^3*a-24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^2*a^2-104*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b*a^3+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^4+123*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4-84*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^3*a-30*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2*a^2-84*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b*a^3-5*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^4+212*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4-152*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a-64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^2+280*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^3-20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4+108*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4+40*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a-224*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^2-136*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^3+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a+24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^2-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4-b^4-4*b^3*a-6*b^2*a^2-4*b*a^3-a^4)/(128*b^5+640*b^4*a+1280*b^3*a^2+1280*b^2*a^3+640*b*a^4+128*a^5)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)^2+(15*b^2-30*b*a+3*a^2)/(32*b^5+160*b^4*a+320*b^3*a^2+320*b^2*a^3+160*b*a^4+32*a^5)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-3*b^3+30*b^2*a-15*b*a^2)*1/4/(4*b^5+20*b^4*a+40*b^3*a^2+40*b^2*a^3+20*b*a^4+4*a^5)/sqrt(a*b)*atan((-a*cos(f*x+exp(1))+b)/(sqrt(a*b)*cos(f*x+exp(1))+sqrt(a*b))))","F(-2)",0
60,1,372,0,0.607877," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(a^{3} + 18 \, a^{2} b + 48 \, a b^{2} + 32 \, b^{3}\right)} {\left(f x + e\right)}}{a^{6}} - \frac{30 \, {\left(3 \, a^{3} b + 19 \, a^{2} b^{2} + 32 \, a b^{3} + 16 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{6}} - \frac{6 \, {\left(7 \, a^{2} b^{2} \tan\left(f x + e\right)^{3} + 23 \, a b^{3} \tan\left(f x + e\right)^{3} + 16 \, b^{4} \tan\left(f x + e\right)^{3} + 9 \, a^{3} b \tan\left(f x + e\right) + 34 \, a^{2} b^{2} \tan\left(f x + e\right) + 41 \, a b^{3} \tan\left(f x + e\right) + 16 \, b^{4} \tan\left(f x + e\right)\right)}}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2} a^{5}} - \frac{33 \, a^{2} \tan\left(f x + e\right)^{5} + 162 \, a b \tan\left(f x + e\right)^{5} + 144 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} + 288 \, a b \tan\left(f x + e\right)^{3} + 288 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) + 126 \, a b \tan\left(f x + e\right) + 144 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{5}}}{48 \, f}"," ",0,"1/48*(15*(a^3 + 18*a^2*b + 48*a*b^2 + 32*b^3)*(f*x + e)/a^6 - 30*(3*a^3*b + 19*a^2*b^2 + 32*a*b^3 + 16*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^6) - 6*(7*a^2*b^2*tan(f*x + e)^3 + 23*a*b^3*tan(f*x + e)^3 + 16*b^4*tan(f*x + e)^3 + 9*a^3*b*tan(f*x + e) + 34*a^2*b^2*tan(f*x + e) + 41*a*b^3*tan(f*x + e) + 16*b^4*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)^2*a^5) - (33*a^2*tan(f*x + e)^5 + 162*a*b*tan(f*x + e)^5 + 144*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 + 288*a*b*tan(f*x + e)^3 + 288*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) + 126*a*b*tan(f*x + e) + 144*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^5))/f","A",0
61,1,325,0,0.508986," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(a^{2} + 12 \, a b + 16 \, b^{2}\right)} {\left(f x + e\right)}}{a^{5}} - \frac{3 \, {\left(5 \, a^{2} b + 20 \, a b^{2} + 16 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{5}} - \frac{12 \, a b^{2} \tan\left(f x + e\right)^{7} + 24 \, b^{3} \tan\left(f x + e\right)^{7} + 19 \, a^{2} b \tan\left(f x + e\right)^{5} + 72 \, a b^{2} \tan\left(f x + e\right)^{5} + 72 \, b^{3} \tan\left(f x + e\right)^{5} + 5 \, a^{3} \tan\left(f x + e\right)^{3} + 46 \, a^{2} b \tan\left(f x + e\right)^{3} + 108 \, a b^{2} \tan\left(f x + e\right)^{3} + 72 \, b^{3} \tan\left(f x + e\right)^{3} + 3 \, a^{3} \tan\left(f x + e\right) + 27 \, a^{2} b \tan\left(f x + e\right) + 48 \, a b^{2} \tan\left(f x + e\right) + 24 \, b^{3} \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{4} + a \tan\left(f x + e\right)^{2} + 2 \, b \tan\left(f x + e\right)^{2} + a + b\right)}^{2} a^{4}}}{8 \, f}"," ",0,"1/8*(3*(a^2 + 12*a*b + 16*b^2)*(f*x + e)/a^5 - 3*(5*a^2*b + 20*a*b^2 + 16*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^5) - (12*a*b^2*tan(f*x + e)^7 + 24*b^3*tan(f*x + e)^7 + 19*a^2*b*tan(f*x + e)^5 + 72*a*b^2*tan(f*x + e)^5 + 72*b^3*tan(f*x + e)^5 + 5*a^3*tan(f*x + e)^3 + 46*a^2*b*tan(f*x + e)^3 + 108*a*b^2*tan(f*x + e)^3 + 72*b^3*tan(f*x + e)^3 + 3*a^3*tan(f*x + e) + 27*a^2*b*tan(f*x + e) + 48*a*b^2*tan(f*x + e) + 24*b^3*tan(f*x + e))/((b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + 2*b*tan(f*x + e)^2 + a + b)^2*a^4))/f","A",0
62,1,219,0,0.862005," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b + 40 \, a b^{2} + 24 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + a^{4} b\right)} \sqrt{a b + b^{2}}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} + 8 \, b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) + 17 \, a b^{2} \tan\left(f x + e\right) + 8 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + a^{3} b\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{4 \, {\left(f x + e\right)} {\left(a + 6 \, b\right)}}{a^{4}} + \frac{4 \, \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} a^{3}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b + 40*a*b^2 + 24*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + a^4*b)*sqrt(a*b + b^2)) + (7*a*b^2*tan(f*x + e)^3 + 8*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) + 17*a*b^2*tan(f*x + e) + 8*b^3*tan(f*x + e))/((a^4 + a^3*b)*(b*tan(f*x + e)^2 + a + b)^2) - 4*(f*x + e)*(a + 6*b)/a^4 + 4*tan(f*x + e)/((tan(f*x + e)^2 + 1)*a^3))/f","A",0
63,1,205,0,0.316255," ","integrate(1/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b + 20 \, a b^{2} + 8 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} + 4 \, b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) + 13 \, a b^{2} \tan\left(f x + e\right) + 4 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{8 \, {\left(f x + e\right)}}{a^{3}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b + 20*a*b^2 + 8*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + 2*a^4*b + a^3*b^2)*sqrt(a*b + b^2)) + (7*a*b^2*tan(f*x + e)^3 + 4*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) + 13*a*b^2*tan(f*x + e) + 4*b^3*tan(f*x + e))/((a^4 + 2*a^3*b + a^2*b^2)*(b*tan(f*x + e)^2 + a + b)^2) - 8*(f*x + e)/a^3)/f","A",0
64,1,184,0,0.500653," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{7 \, b^{2} \tan\left(f x + e\right)^{3} + 9 \, a b \tan\left(f x + e\right) + 9 \, b^{2} \tan\left(f x + e\right)}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} + \frac{8}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)}}{8 \, f}"," ",0,"-1/8*(15*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*sqrt(a*b + b^2)) + (7*b^2*tan(f*x + e)^3 + 9*a*b*tan(f*x + e) + 9*b^2*tan(f*x + e))/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(b*tan(f*x + e)^2 + a + b)^2) + 8/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)))/f","A",0
65,1,275,0,0.671896," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b - 4 \, b^{2}\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \sqrt{a b + b^{2}}} + \frac{3 \, {\left(7 \, a b^{2} \tan\left(f x + e\right)^{3} - 4 \, b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) + 5 \, a b^{2} \tan\left(f x + e\right) - 4 \, b^{3} \tan\left(f x + e\right)\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} + \frac{8 \, {\left(3 \, a \tan\left(f x + e\right)^{2} - 6 \, b \tan\left(f x + e\right)^{2} + a + b\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \tan\left(f x + e\right)^{3}}}{24 \, f}"," ",0,"-1/24*(15*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b - 4*b^2)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*sqrt(a*b + b^2)) + 3*(7*a*b^2*tan(f*x + e)^3 - 4*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) + 5*a*b^2*tan(f*x + e) - 4*b^3*tan(f*x + e))/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*(b*tan(f*x + e)^2 + a + b)^2) + 8*(3*a*tan(f*x + e)^2 - 6*b*tan(f*x + e)^2 + a + b)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*tan(f*x + e)^3))/f","A",0
66,1,382,0,1.092045," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(15 \, a^{2} b - 40 \, a b^{2} + 8 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \sqrt{a b + b^{2}}} + \frac{15 \, {\left(7 \, a^{2} b^{2} \tan\left(f x + e\right)^{3} - 8 \, a b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{3} b \tan\left(f x + e\right) + a^{2} b^{2} \tan\left(f x + e\right) - 8 \, a b^{3} \tan\left(f x + e\right)\right)}}{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} + \frac{8 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} - 60 \, a b \tan\left(f x + e\right)^{4} + 15 \, b^{2} \tan\left(f x + e\right)^{4} + 10 \, a^{2} \tan\left(f x + e\right)^{2} + 5 \, a b \tan\left(f x + e\right)^{2} - 5 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}\right)}}{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \tan\left(f x + e\right)^{5}}}{120 \, f}"," ",0,"-1/120*(15*(15*a^2*b - 40*a*b^2 + 8*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*sqrt(a*b + b^2)) + 15*(7*a^2*b^2*tan(f*x + e)^3 - 8*a*b^3*tan(f*x + e)^3 + 9*a^3*b*tan(f*x + e) + a^2*b^2*tan(f*x + e) - 8*a*b^3*tan(f*x + e))/((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*(b*tan(f*x + e)^2 + a + b)^2) + 8*(15*a^2*tan(f*x + e)^4 - 60*a*b*tan(f*x + e)^4 + 15*b^2*tan(f*x + e)^4 + 10*a^2*tan(f*x + e)^2 + 5*a*b*tan(f*x + e)^2 - 5*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*tan(f*x + e)^5))/f","A",0
67,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-64*(1/240*(-15*b*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^9+165*b*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^8-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^7*(-320*a^2+540*b^2-100*a*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^6*(-640*a^2-660*b^2+1660*a*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*(832*a^3-30*b^3-2460*a*b^2+1250*a^2*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-2880*a^5+135*b^5+700*a*b^4-1430*a^2*b^3+380*a^3*b^2+3335*a^4*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*(2560*a^3+810*b^3+900*a*b^2-3910*a^2*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(320*a^4-660*b^4+900*a*b^3+3140*a^2*b^2-3220*a^3*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-3200*a^4+60*b^4-1500*a*b^3+980*a^2*b^2+3180*a^3*b)-sqrt(a+b)*(-768*a^5-45*b^5-100*a*b^4+450*a^2*b^3-1028*a^3*b^2+1539*a^4*b))/(2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2+3*a-b)^5+1/32*b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
68,-2,0,0,0.000000," ","integrate(sin(f*x+e)^3*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-16*(1/12*(-3*b*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-48*a^3-9*b^3+6*a*b^2+15*a^2*b)-sqrt(a+b)*(12*a-9*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(16*a^2+6*b^2-18*a*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-24*a^2+6*b^2+6*a*b)-sqrt(a+b)*(-20*a^3+3*b^3-6*a*b^2+19*a^2*b))/(2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2+3*a-b)^3+1/8*b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
69,-2,0,0,0.000000," ","integrate(sin(f*x+e)*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-8*(1/2*(a*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+a*sqrt(a+b))/(2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2+3*a-b)+1/4*b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
70,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-2*(1/4*sqrt(a+b)*ln(abs(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))-1/4*sqrt(a+b)*ln(abs(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))+b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b)+sqrt(a+b)*(a+b)*ln(abs(-(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-sqrt(a+b)*(a-b)))/(-4*a-4*b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
71,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(-1/16*sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)+2*(-1/16*(-(a-b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-sqrt(a+b)*(a+b))/((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a-b)-1/2*b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b)-1/8*(-a-2*b)*atan((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a-b))/sqrt(-a-b)+sqrt(a+b)*(-a-2*b)*ln(abs((a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+sqrt(a+b)*(a-b)))/(-16*a-16*b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
72,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(2*(-(-8192*a-8192*b)*tan(1/2*(f*x+exp(1)))^2/(-2097152*a-2097152*b)-(-73728*a-90112*b)/(-2097152*a-2097152*b))*sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)+2*((-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-6*a^3+4*b^3+4*a*b^2-6*a^2*b)-(4*a^2-6*b^2)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(3*a^2+7*b^2+10*a*b)-sqrt(a+b)*(-5*a^3-5*b^3-15*a*b^2-15*a^2*b))/((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a-b)^2/(-64*a-64*b)-1/2*b*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b)+1/2*(-3*a^2-8*b^2-12*a*b)*atan((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(-16*a-16*b)+(-3*a^2-8*b^2-12*a*b)*ln(abs((a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+sqrt(a+b)*(a-b)))/sqrt(a+b)/(-64*a-64*b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
73,0,0,0,0.000000," ","integrate(sin(f*x+e)^6*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sin(f*x + e)^6, x)","F",0
74,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sin(f*x + e)^4, x)","F",0
75,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sin(f*x + e)^2, x)","F",0
76,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a), x)","F",0
77,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*csc(f*x + e)^2, x)","F",0
78,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*csc(f*x + e)^4, x)","F",0
79,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*csc(f*x + e)^6, x)","F",0
80,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*(1/2*(sqrt(a+b)*(2*b^3-a*b^2+a^2*b)*sign(cos(f*x+exp(1)))+(2*b^2+a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-2*b^3-3*a*b^2+3*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-2*b^2+3*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^2-1/15*(-sqrt(a+b)*(-768*a^6-15*b^6+90*a*b^5-690*a^2*b^4+2200*a^3*b^3-4103*a^4*b^2+3654*a^5*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(320*a^5+420*b^5-1260*a*b^4-1260*a^2*b^3+10620*a^3*b^2-3560*a^4*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*(832*a^4-210*b^4+1680*a*b^3-5370*a^2*b^2-60*a^3*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^7*(-320*a^3-300*b^3+1020*a*b^2+120*a^2*b)*sign(cos(f*x+exp(1)))-(-15*b^2+30*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^9*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-2880*a^6+105*b^6-510*a*b^5+2430*a^2*b^4-3160*a^3*b^3-3695*a^4*b^2+11150*a^5*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-3200*a^5-300*b^5+1380*a*b^4-3420*a^2*b^3-1620*a^3*b^2+11800*a^4*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*(2560*a^4-210*b^4+5670*a^2*b^2-9420*a^3*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^6*(-640*a^3+420*b^3-2100*a*b^2+3000*a^2*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(105*b^2-330*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^8*sign(cos(f*x+exp(1))))/(2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2+3*a-b)^5-1/4*(-4*b^2+3*a*b)*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))/f","F(-2)",0
81,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*(1/2*(sqrt(a+b)*(2*b^3-a*b^2+a^2*b)*sign(cos(f*x+exp(1)))+(2*b^2+a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-2*b^3-3*a*b^2+3*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-2*b^2+3*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^2+1/3*(sqrt(a+b)*(-20*a^4+6*a*b^3-24*a^2*b^2+46*a^3*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(16*a^3+12*a*b^2-36*a^2*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-48*a^4-18*a*b^3+12*a^2*b^2+78*a^3*b)*sign(cos(f*x+exp(1)))+6*a*b*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-24*a^3+12*a*b^2+36*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(12*a^2-18*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*sign(cos(f*x+exp(1))))/(2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2+3*a-b)^3-1/4*(-2*b^2+3*a*b)*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))/f","F(-2)",0
82,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*((a^2*sqrt(a+b)*sign(cos(f*x+exp(1)))+a^2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-3*a+b)+1/2*(sqrt(a+b)*(2*b^3-a*b^2+a^2*b)*sign(cos(f*x+exp(1)))+(2*b^2+a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-2*b^3-3*a*b^2+3*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-2*b^2+3*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^2-3/4*a*b*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-b))/sqrt(-b))/f","F(-2)",0
83,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*x+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 1.52Error: Bad Argument Type","F(-2)",0
84,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*x+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 1.72Unable to divide, perhaps due to rounding error%%%{%%{[%%%{16384,[5,4]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[6]%%%}+%%%{%%%{98304,[6,4]%%%}+%%%{98304,[5,5]%%%},[5]%%%}+%%%{%%{[%%%{245760,[6,4]%%%}+%%%{49152,[5,5]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[4]%%%}+%%%{%%%{327680,[7,4]%%%}+%%%{-131072,[6,5]%%%}+%%%{-458752,[5,6]%%%},[3]%%%}+%%%{%%{[%%%{245760,[7,4]%%%}+%%%{-688128,[6,5]%%%}+%%%{-147456,[5,6]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[2]%%%}+%%%{%%%{98304,[8,4]%%%}+%%%{-491520,[7,5]%%%}+%%%{294912,[6,6]%%%}+%%%{884736,[5,7]%%%},[1]%%%}+%%%{%%{[%%%{16384,[8,4]%%%}+%%%{-147456,[7,5]%%%}+%%%{442368,[6,6]%%%}+%%%{-442368,[5,7]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[0]%%%} / %%%{%%{[%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[6]%%%}+%%%{%%%{-6,[2,0]%%%}+%%%{-12,[1,1]%%%}+%%%{-6,[0,2]%%%},[5]%%%}+%%%{%%{[%%%{-15,[2,0]%%%}+%%%{-18,[1,1]%%%}+%%%{-3,[0,2]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[4]%%%}+%%%{%%%{-20,[3,0]%%%}+%%%{-12,[2,1]%%%}+%%%{36,[1,2]%%%}+%%%{28,[0,3]%%%},[3]%%%}+%%%{%%{[%%%{-15,[3,0]%%%}+%%%{27,[2,1]%%%}+%%%{51,[1,2]%%%}+%%%{9,[0,3]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[2]%%%}+%%%{%%%{-6,[4,0]%%%}+%%%{24,[3,1]%%%}+%%%{12,[2,2]%%%}+%%%{-72,[1,3]%%%}+%%%{-54,[0,4]%%%},[1]%%%}+%%%{%%{[%%%{-1,[4,0]%%%}+%%%{8,[3,1]%%%}+%%%{-18,[2,2]%%%}+%%%{27,[0,4]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
85,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*x+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 2.54Unable to divide, perhaps due to rounding error%%%{%%%{262144,[6,6]%%%},[12]%%%}+%%%{%%{[%%%{1572864,[6,6]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[11]%%%}+%%%{%%%{3145728,[7,6]%%%},[10]%%%}+%%%{%%{[%%%{524288,[7,6]%%%}+%%%{-12058624,[6,7]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[9]%%%}+%%%{%%%{-7077888,[8,6]%%%}+%%%{-23592960,[7,7]%%%}+%%%{-3932160,[6,8]%%%},[8]%%%}+%%%{%%{[%%%{-9437184,[8,6]%%%}+%%%{6291456,[7,7]%%%}+%%%{40894464,[6,8]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[7]%%%}+%%%{%%%{44040192,[8,7]%%%}+%%%{62914560,[7,8]%%%}+%%%{2097152,[6,9]%%%},[6]%%%}+%%%{%%{[%%%{9437184,[9,6]%%%}+%%%{28311552,[8,7]%%%}+%%%{-47185920,[7,8]%%%}+%%%{-66060288,[6,9]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[5]%%%}+%%%{%%%{7077888,[10,6]%%%}+%%%{-15728640,[9,7]%%%}+%%%{-89653248,[8,8]%%%}+%%%{-53477376,[7,9]%%%}+%%%{13369344,[6,10]%%%},[4]%%%}+%%%{%%{[%%%{-524288,[10,6]%%%}+%%%{-27262976,[9,7]%%%}+%%%{-3145728,[8,8]%%%}+%%%{73400320,[7,9]%%%}+%%%{49807360,[6,10]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[3]%%%}+%%%{%%%{-3145728,[11,6]%%%}+%%%{-6291456,[10,7]%%%}+%%%{31457280,[9,8]%%%}+%%%{50331648,[8,9]%%%}+%%%{-3145728,[7,10]%%%}+%%%{-18874368,[6,11]%%%},[2]%%%}+%%%{%%{[%%%{-1572864,[11,6]%%%}+%%%{4718592,[10,7]%%%}+%%%{9437184,[9,8]%%%}+%%%{-15728640,[8,9]%%%}+%%%{-33030144,[7,10]%%%}+%%%{-14155776,[6,11]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[1]%%%}+%%%{%%%{-262144,[12,6]%%%}+%%%{1572864,[11,7]%%%}+%%%{-786432,[10,8]%%%}+%%%{-7340032,[9,9]%%%}+%%%{2359296,[8,10]%%%}+%%%{14155776,[7,11]%%%}+%%%{7077888,[6,12]%%%},[0]%%%} / %%%{%%{[%%%{1,[1,0]%%%}+%%%{1,[0,1]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[12]%%%}+%%%{%%%{6,[2,0]%%%}+%%%{12,[1,1]%%%}+%%%{6,[0,2]%%%},[11]%%%}+%%%{%%{[%%%{12,[2,0]%%%}+%%%{12,[1,1]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[10]%%%}+%%%{%%%{2,[3,0]%%%}+%%%{-42,[2,1]%%%}+%%%{-90,[1,2]%%%}+%%%{-46,[0,3]%%%},[9]%%%}+%%%{%%{[%%%{-27,[3,0]%%%}+%%%{-117,[2,1]%%%}+%%%{-105,[1,2]%%%}+%%%{-15,[0,3]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[8]%%%}+%%%{%%%{-36,[4,0]%%%}+%%%{-48,[3,1]%%%}+%%%{168,[2,2]%%%}+%%%{336,[1,3]%%%}+%%%{156,[0,4]%%%},[7]%%%}+%%%{%%{[%%%{168,[3,1]%%%}+%%%{408,[2,2]%%%}+%%%{248,[1,3]%%%}+%%%{8,[0,4]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[6]%%%}+%%%{%%%{36,[5,0]%%%}+%%%{180,[4,1]%%%}+%%%{72,[3,2]%%%}+%%%{-504,[2,3]%%%}+%%%{-684,[1,4]%%%}+%%%{-252,[0,5]%%%},[5]%%%}+%%%{%%{[%%%{27,[5,0]%%%}+%%%{-33,[4,1]%%%}+%%%{-402,[3,2]%%%}+%%%{-546,[2,3]%%%}+%%%{-153,[1,4]%%%}+%%%{51,[0,5]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[4]%%%}+%%%{%%%{-2,[6,0]%%%}+%%%{-108,[5,1]%%%}+%%%{-222,[4,2]%%%}+%%%{152,[3,3]%%%}+%%%{738,[2,4]%%%}+%%%{660,[1,5]%%%}+%%%{190,[0,6]%%%},[3]%%%}+%%%{%%{[%%%{-12,[6,0]%%%}+%%%{-36,[5,1]%%%}+%%%{96,[4,2]%%%}+%%%{312,[3,3]%%%}+%%%{180,[2,4]%%%}+%%%{-84,[1,5]%%%}+%%%{-72,[0,6]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[2]%%%}+%%%{%%%{-6,[7,0]%%%}+%%%{6,[6,1]%%%}+%%%{66,[5,2]%%%}+%%%{30,[4,3]%%%}+%%%{-210,[3,4]%%%}+%%%{-366,[2,5]%%%}+%%%{-234,[1,6]%%%}+%%%{-54,[0,7]%%%},[1]%%%}+%%%{%%{[%%%{-1,[7,0]%%%}+%%%{5,[6,1]%%%}+%%%{3,[5,2]%%%}+%%%{-31,[4,3]%%%}+%%%{-19,[3,4]%%%}+%%%{63,[2,5]%%%}+%%%{81,[1,6]%%%}+%%%{27,[0,7]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0,1]%%%}]%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
86,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e)^6,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sin(f*x + e)^6, x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e)^4,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sin(f*x + e)^4, x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*sin(f*x+e)^2,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sin(f*x + e)^2, x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
90,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^2, x)","F",0
91,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^4, x)","F",0
92,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^6, x)","F",0
93,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2/15*((320*a+320*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^7+sqrt(a+b)*(640*a-320*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^6+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^5*(-832*a^2-960*b^2-2560*a*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(2880*a^4-320*b^4-1920*a*b^3+4480*a^3*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^4*(-2560*a^2+960*b^2-1600*a*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(-320*a^3+960*b^3+4160*a*b^2+2880*a^2*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3200*a^3-960*b^3+1280*a*b^2+5440*a^2*b)+sqrt(a+b)*(768*a^4+320*b^4-320*a*b^3-832*a^2*b^2+576*a^3*b))/(2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+3*a-b)^5/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
94,-2,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)1/abs(f)*(-f^2/a/f^2*(-b*sqrt(b)/3/a*sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f))+1/3*(a*(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f)+sqrt(b)*sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f))/a)*sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f)+sqrt(b)*sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f))/a))^3/a/sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f)+sqrt(b)*sign(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f))/a))+(a+b)/a*(sqrt(b)/a*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/sign(cos(f*x+exp(1)))/sign(f)))","F(-2)",0
95,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)sqrt(b)/a/abs(f)*sign(cos(f*x+exp(1)))*sign(f)-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2+b)/a/abs(f)/sign(cos(f*x+exp(1)))/sign(f)","F(-2)",0
96,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/2*(sqrt(a+b)*ln(abs((a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))+sqrt(a+b)*(a-b)))/(-2*a-2*b)+sqrt(a+b)*ln(abs(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)))/(2*a+2*b)-sqrt(a+b)*ln(abs(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)))/(2*a+2*b))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
97,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 0.69Unable to divide, perhaps due to rounding error%%%{1,[4]%%%}+%%%{%%%{-2,[1,0]%%%}+%%%{-2,[0,1]%%%},[2]%%%}+%%%{%%%{1,[2,0]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,2]%%%},[0]%%%} / %%%{%%%{1,[1,0]%%%}+%%%{1,[0,1]%%%},[4]%%%}+%%%{%%%{-2,[2,0]%%%}+%%%{-4,[1,1]%%%}+%%%{-2,[0,2]%%%},[2]%%%}+%%%{%%%{1,[3,0]%%%}+%%%{3,[2,1]%%%}+%%%{3,[1,2]%%%}+%%%{1,[0,3]%%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
98,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/64*(2*(-tan((f*x+exp(1))/2)^2*(2*a+2*b)/(-8*a^2-8*b^2-16*a*b)-(18*a+6*b)/(-8*a^2-8*b^2-16*a*b))*sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(-6*a^3+4*a*b^2-2*a^2*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(4*a^2-2*b^2-4*a*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3*a^2+3*b^2+6*a*b)+sqrt(a+b)*(-5*a^3-b^3-7*a*b^2-11*a^2*b))/((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a-b)^2/(-a^2-b^2-2*a*b)+6*a^2*atan((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(-a^2-b^2-2*a*b)+3*a^2*ln(abs(-sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-a+b))/sqrt(a+b)/(-a^2-b^2-2*a*b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
99,0,0,0,0.000000," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sin(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
100,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
101,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
102,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
103,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
104,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
105,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
106,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(-1/16*(-4*a^3*b^4*sign(tan((f*x+exp(1))/2)^2-1)-8*a^4*b^3*sign(tan((f*x+exp(1))/2)^2-1)-4*a^5*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^7/b-1/16*tan((f*x+exp(1))/2)^2*(-4*a^3*b^4*sign(tan((f*x+exp(1))/2)^2-1)-8*a^4*b^3*sign(tan((f*x+exp(1))/2)^2-1)-4*a^5*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^7/b)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2/15*((15*b^2+15*a*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^9+sqrt(a+b)*(-105*b^2-165*a*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^8+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^7*(320*a^3+300*b^3+600*a*b^2+540*a^2*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^6*(640*a^3-420*b^3+120*a*b^2+1020*a^2*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^5*(-832*a^4+210*b^4-1770*a*b^3-4890*a^2*b^2-3870*a^3*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(2880*a^6-105*b^6+915*a*b^5-1290*a^2*b^4-6890*a^3*b^3+4835*a^4*b^2+12295*a^5*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^4*(-2560*a^4+210*b^4+2430*a*b^3-90*a^2*b^2-7110*a^3*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(-320*a^5-420*b^5-720*a*b^4+6840*a^2*b^3+11280*a^3*b^2+2540*a^4*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3200*a^5+300*b^5-1200*a*b^4-3960*a^2*b^3+8400*a^3*b^2+14060*a^4*b)+sqrt(a+b)*(768*a^6+15*b^6-225*a*b^5+1350*a^2*b^4-1810*a^3*b^3-1477*a^4*b^2+2691*a^5*b))/a^3/(2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+3*a-b)^5/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
107,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
108,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(2*(1/8*b^2/a^2/sign(tan((f*x+exp(1))/2)^2-1)/b+1/8*b^2*tan((f*x+exp(1))/2)^2/a^2/sign(tan((f*x+exp(1))/2)^2-1)/b)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/a/(2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+3*a-b)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
109,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 1.06Error: Bad Argument Type","F(-2)",0
110,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(131072*a*b^5*sign(tan((f*x+exp(1))/2)^2-1)+524288*a^2*b^4*sign(tan((f*x+exp(1))/2)^2-1)+786432*a^3*b^3*sign(tan((f*x+exp(1))/2)^2-1)+524288*a^4*b^2*sign(tan((f*x+exp(1))/2)^2-1)+131072*a^5*b*sign(tan((f*x+exp(1))/2)^2-1))/(-4194304*a*b^6-20971520*a^2*b^5-41943040*a^3*b^4-41943040*a^4*b^3-20971520*a^5*b^2-4194304*a^6*b)-(1310720*a*b^5*sign(tan((f*x+exp(1))/2)^2-1)+3670016*a^2*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3145728*a^3*b^3*sign(tan((f*x+exp(1))/2)^2-1)+524288*a^4*b^2*sign(tan((f*x+exp(1))/2)^2-1)-262144*a^5*b*sign(tan((f*x+exp(1))/2)^2-1))/(-4194304*a*b^6-20971520*a^2*b^5-41943040*a^3*b^4-41943040*a^4*b^3-20971520*a^5*b^2-4194304*a^6*b))-(1179648*a*b^5*sign(tan((f*x+exp(1))/2)^2-1)+3670016*a^2*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3932160*a^3*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1572864*a^4*b^2*sign(tan((f*x+exp(1))/2)^2-1)+131072*a^5*b*sign(tan((f*x+exp(1))/2)^2-1))/(-4194304*a*b^6-20971520*a^2*b^5-41943040*a^3*b^4-41943040*a^4*b^3-20971520*a^5*b^2-4194304*a^6*b))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(((a-b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))+sqrt(a+b)*(a+b))/sqrt(a+b)/(sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+sqrt(a+b)*(-a-b))/(-16*a-16*b)/sign(tan((f*x+exp(1))/2)^2-1)+(a-2*b)*ln(abs(-sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-a+b))/sqrt(a+b)/(-16*a^2-16*b^2-32*a*b)/sign(tan((f*x+exp(1))/2)^2-1)+1/2*(-a+2*b)*atan((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(4*a^2+4*b^2+8*a*b)/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
111,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(-536870912*a*b^8-3758096384*a^2*b^7-11274289152*a^3*b^6-18790481920*a^4*b^5-18790481920*a^5*b^4-11274289152*a^6*b^3-3758096384*a^7*b^2-536870912*a^8*b)/(137438953472*a*b^9*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^2*b^8*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^3*b^7*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+9620726743040*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^7*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^8*b^2*sign(tan((f*x+exp(1))/2)^2-1)+137438953472*a^9*b*sign(tan((f*x+exp(1))/2)^2-1))-(1610612736*a*b^8+5905580032*a^2*b^7+1610612736*a^3*b^6-24159191040*a^4*b^5-51002736640*a^5*b^4-46707769344*a^6*b^3-20937965568*a^7*b^2-3758096384*a^8*b)/(137438953472*a*b^9*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^2*b^8*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^3*b^7*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+9620726743040*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^7*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^8*b^2*sign(tan((f*x+exp(1))/2)^2-1)+137438953472*a^9*b*sign(tan((f*x+exp(1))/2)^2-1)))-(4831838208*a*b^8-26306674688*a^2*b^7-194884141056*a^3*b^6-410706247680*a^4*b^5-389231411200*a^5*b^4-156229435392*a^6*b^3-4831838208*a^7*b^2+9126805504*a^8*b)/(137438953472*a*b^9*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^2*b^8*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^3*b^7*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+9620726743040*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^7*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^8*b^2*sign(tan((f*x+exp(1))/2)^2-1)+137438953472*a^9*b*sign(tan((f*x+exp(1))/2)^2-1)))-(2684354560*a*b^8-23085449216*a^2*b^7-160524402688*a^3*b^6-362387865600*a^4*b^5-399968829440*a^5*b^4-228170137600*a^6*b^3-60666413056*a^7*b^2-4831838208*a^8*b)/(137438953472*a*b^9*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^2*b^8*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^3*b^7*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+9620726743040*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+7696581394432*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1)+3848290697216*a^7*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1099511627776*a^8*b^2*sign(tan((f*x+exp(1))/2)^2-1)+137438953472*a^9*b*sign(tan((f*x+exp(1))/2)^2-1)))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(-((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(-6*a^3-4*b^3+4*a*b^2+2*a^2*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(4*a^2+2*b^2-8*a*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3*a^2-b^2+2*a*b)+sqrt(a+b)*(-5*a^3+3*b^3+a*b^2-7*a^2*b))/((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a-b)^2/(64*a^3+64*b^3+192*a*b^2+192*a^2*b)/sign(tan((f*x+exp(1))/2)^2-1)+1/2*(-3*a^2+12*a*b)*atan((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(16*a^3+16*b^3+48*a*b^2+48*a^2*b)/sign(tan((f*x+exp(1))/2)^2-1)+(-3*a^2+12*a*b)*ln(abs(-sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-a+b))/sqrt(a+b)/(64*a^3+64*b^3+192*a*b^2+192*a^2*b)/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
112,0,0,0,0.000000," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-3/2), x)","F",0
116,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
117,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
118,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
119,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-1/2304*tan((f*x+exp(1))/2)^2*(-2112*a^13*b^6*sign(tan((f*x+exp(1))/2)^2-1)-5376*a^14*b^5*sign(tan((f*x+exp(1))/2)^2-1)-4416*a^15*b^4*sign(tan((f*x+exp(1))/2)^2-1)-1152*a^16*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^18/b^2-1/2304*(-6336*a^13*b^6*sign(tan((f*x+exp(1))/2)^2-1)-6912*a^14*b^5*sign(tan((f*x+exp(1))/2)^2-1)+576*a^15*b^4*sign(tan((f*x+exp(1))/2)^2-1)+1152*a^16*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^18/b^2)-1/2304*(-6336*a^13*b^6*sign(tan((f*x+exp(1))/2)^2-1)-6912*a^14*b^5*sign(tan((f*x+exp(1))/2)^2-1)+576*a^15*b^4*sign(tan((f*x+exp(1))/2)^2-1)+1152*a^16*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^18/b^2)-1/2304*(-2112*a^13*b^6*sign(tan((f*x+exp(1))/2)^2-1)-5376*a^14*b^5*sign(tan((f*x+exp(1))/2)^2-1)-4416*a^15*b^4*sign(tan((f*x+exp(1))/2)^2-1)-1152*a^16*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^18/b^2)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2/15*((45*b^2+30*a*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^9+sqrt(a+b)*(-315*b^2-330*a*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^8+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^7*(320*a^3+900*b^3+1260*a*b^2+760*a^2*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^6*(640*a^3-1260*b^3+1020*a*b^2+2360*a^2*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^5*(-832*a^4+630*b^4-5280*a*b^3-9330*a^2*b^2-5180*a^3*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(2880*a^6-315*b^6+2610*a*b^5-3610*a^2*b^4-13480*a^3*b^3+14125*a^4*b^2+20110*a^5*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^4*(-2560*a^4+630*b^4+6480*a*b^3-4050*a^2*b^2-12620*a^3*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(-320*a^5-1260*b^5-1500*a*b^4+16740*a^2*b^3+18220*a^3*b^2+2200*a^4*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3200*a^5+900*b^5-3660*a*b^4-7500*a^2*b^3+20380*a^3*b^2+22680*a^4*b)+sqrt(a+b)*(768*a^6+45*b^6-630*a*b^5+3190*a^2*b^4-4920*a^3*b^3-907*a^4*b^2+4806*a^5*b))/a^4/(2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+3*a-b)^5/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
120,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
121,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-1/36864*tan((f*x+exp(1))/2)^2*(-7680*a^7*b^4*sign(tan((f*x+exp(1))/2)^2-1)-9216*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2-1/36864*(-23040*a^7*b^4*sign(tan((f*x+exp(1))/2)^2-1)+9216*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/36864*(-23040*a^7*b^4*sign(tan((f*x+exp(1))/2)^2-1)+9216*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/36864*(-7680*a^7*b^4*sign(tan((f*x+exp(1))/2)^2-1)-9216*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/a^2/(2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+3*a-b)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
122,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Evaluation time: 1.77Error: Bad Argument Type","F(-2)",0
123,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(1207959552*a^2*b^12*sign(tan((f*x+exp(1))/2)^2-1)+12079595520*a^3*b^11*sign(tan((f*x+exp(1))/2)^2-1)+54358179840*a^4*b^10*sign(tan((f*x+exp(1))/2)^2-1)+144955146240*a^5*b^9*sign(tan((f*x+exp(1))/2)^2-1)+253671505920*a^6*b^8*sign(tan((f*x+exp(1))/2)^2-1)+304405807104*a^7*b^7*sign(tan((f*x+exp(1))/2)^2-1)+253671505920*a^8*b^6*sign(tan((f*x+exp(1))/2)^2-1)+144955146240*a^9*b^5*sign(tan((f*x+exp(1))/2)^2-1)+54358179840*a^10*b^4*sign(tan((f*x+exp(1))/2)^2-1)+12079595520*a^11*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1207959552*a^12*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(-38654705664*a^2*b^13-425201762304*a^3*b^12-2126008811520*a^4*b^11-6378026434560*a^5*b^10-12756052869120*a^6*b^9-17858474016768*a^7*b^8-17858474016768*a^8*b^7-12756052869120*a^9*b^6-6378026434560*a^10*b^5-2126008811520*a^11*b^4-425201762304*a^12*b^3-38654705664*a^13*b^2)-(-3221225472*a*b^13*sign(tan((f*x+exp(1))/2)^2-1)-4831838208*a^2*b^12*sign(tan((f*x+exp(1))/2)^2-1)+96636764160*a^3*b^11*sign(tan((f*x+exp(1))/2)^2-1)+555661393920*a^4*b^10*sign(tan((f*x+exp(1))/2)^2-1)+1449551462400*a^5*b^9*sign(tan((f*x+exp(1))/2)^2-1)+2232309252096*a^6*b^8*sign(tan((f*x+exp(1))/2)^2-1)+2164663517184*a^7*b^7*sign(tan((f*x+exp(1))/2)^2-1)+1304596316160*a^8*b^6*sign(tan((f*x+exp(1))/2)^2-1)+434865438720*a^9*b^5*sign(tan((f*x+exp(1))/2)^2-1)+40265318400*a^10*b^4*sign(tan((f*x+exp(1))/2)^2-1)-19327352832*a^11*b^3*sign(tan((f*x+exp(1))/2)^2-1)-4831838208*a^12*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(-38654705664*a^2*b^13-425201762304*a^3*b^12-2126008811520*a^4*b^11-6378026434560*a^5*b^10-12756052869120*a^6*b^9-17858474016768*a^7*b^8-17858474016768*a^8*b^7-12756052869120*a^9*b^6-6378026434560*a^10*b^5-2126008811520*a^11*b^4-425201762304*a^12*b^3-38654705664*a^13*b^2))-(-9663676416*a*b^13*sign(tan((f*x+exp(1))/2)^2-1)-21743271936*a^2*b^12*sign(tan((f*x+exp(1))/2)^2-1)+149786984448*a^3*b^11*sign(tan((f*x+exp(1))/2)^2-1)+828660252672*a^4*b^10*sign(tan((f*x+exp(1))/2)^2-1)+1816771166208*a^5*b^9*sign(tan((f*x+exp(1))/2)^2-1)+2198486384640*a^6*b^8*sign(tan((f*x+exp(1))/2)^2-1)+1555851902976*a^7*b^7*sign(tan((f*x+exp(1))/2)^2-1)+632970805248*a^8*b^6*sign(tan((f*x+exp(1))/2)^2-1)+164282499072*a^9*b^5*sign(tan((f*x+exp(1))/2)^2-1)+65229815808*a^10*b^4*sign(tan((f*x+exp(1))/2)^2-1)+33822867456*a^11*b^3*sign(tan((f*x+exp(1))/2)^2-1)+7247757312*a^12*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(-38654705664*a^2*b^13-425201762304*a^3*b^12-2126008811520*a^4*b^11-6378026434560*a^5*b^10-12756052869120*a^6*b^9-17858474016768*a^7*b^8-17858474016768*a^8*b^7-12756052869120*a^9*b^6-6378026434560*a^10*b^5-2126008811520*a^11*b^4-425201762304*a^12*b^3-38654705664*a^13*b^2))-(-9663676416*a*b^13*sign(tan((f*x+exp(1))/2)^2-1)-24159191040*a^2*b^12*sign(tan((f*x+exp(1))/2)^2-1)+135291469824*a^3*b^11*sign(tan((f*x+exp(1))/2)^2-1)+787589627904*a^4*b^10*sign(tan((f*x+exp(1))/2)^2-1)+1720134402048*a^5*b^9*sign(tan((f*x+exp(1))/2)^2-1)+1961726312448*a^6*b^8*sign(tan((f*x+exp(1))/2)^2-1)+1082331758592*a^7*b^7*sign(tan((f*x+exp(1))/2)^2-1)-9663676416*a^8*b^6*sign(tan((f*x+exp(1))/2)^2-1)-396210733056*a^9*b^5*sign(tan((f*x+exp(1))/2)^2-1)-236760072192*a^10*b^4*sign(tan((f*x+exp(1))/2)^2-1)-57982058496*a^11*b^3*sign(tan((f*x+exp(1))/2)^2-1)-4831838208*a^12*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(-38654705664*a^2*b^13-425201762304*a^3*b^12-2126008811520*a^4*b^11-6378026434560*a^5*b^10-12756052869120*a^6*b^9-17858474016768*a^7*b^8-17858474016768*a^8*b^7-12756052869120*a^9*b^6-6378026434560*a^10*b^5-2126008811520*a^11*b^4-425201762304*a^12*b^3-38654705664*a^13*b^2))-(-3221225472*a*b^13*sign(tan((f*x+exp(1))/2)^2-1)-8455716864*a^2*b^12*sign(tan((f*x+exp(1))/2)^2-1)+70061654016*a^3*b^11*sign(tan((f*x+exp(1))/2)^2-1)+479559942144*a^4*b^10*sign(tan((f*x+exp(1))/2)^2-1)+1362578374656*a^5*b^9*sign(tan((f*x+exp(1))/2)^2-1)+2283043553280*a^6*b^8*sign(tan((f*x+exp(1))/2)^2-1)+2469069324288*a^7*b^7*sign(tan((f*x+exp(1))/2)^2-1)+1761205026816*a^8*b^6*sign(tan((f*x+exp(1))/2)^2-1)+811748818944*a^9*b^5*sign(tan((f*x+exp(1))/2)^2-1)+225083129856*a^10*b^4*sign(tan((f*x+exp(1))/2)^2-1)+31406948352*a^11*b^3*sign(tan((f*x+exp(1))/2)^2-1)+1207959552*a^12*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(-38654705664*a^2*b^13-425201762304*a^3*b^12-2126008811520*a^4*b^11-6378026434560*a^5*b^10-12756052869120*a^6*b^9-17858474016768*a^7*b^8-17858474016768*a^8*b^7-12756052869120*a^9*b^6-6378026434560*a^10*b^5-2126008811520*a^11*b^4-425201762304*a^12*b^3-38654705664*a^13*b^2))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(((a-b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))+sqrt(a+b)*(a+b))/sqrt(a+b)/(sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2+sqrt(a+b)*(-a-b))/(-16*a^2-16*b^2-32*a*b)/sign(tan((f*x+exp(1))/2)^2-1)+1/2*(-a+4*b)*atan((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(4*a^3+4*b^3+12*a*b^2+12*a^2*b)/sign(tan((f*x+exp(1))/2)^2-1)+(-a+4*b)*ln(abs(sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))+a-b))/sqrt(a+b)/(16*a^3+16*b^3+48*a*b^2+48*a^2*b)/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
124,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(-39582418599936*a^2*b^17-593736278999040*a^3*b^16-4156153952993280*a^4*b^15-18010000462970880*a^5*b^14-54030001388912640*a^6*b^13-118866003055607808*a^7*b^12-198110005092679680*a^8*b^11-254712863690588160*a^9*b^10-254712863690588160*a^10*b^9-198110005092679680*a^11*b^8-118866003055607808*a^12*b^7-54030001388912640*a^13*b^6-18010000462970880*a^14*b^5-4156153952993280*a^15*b^4-593736278999040*a^16*b^3-39582418599936*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1))-(356241767399424*a^2*b^17+4789472650592256*a^3*b^16+29647231531352064*a^4*b^15+111662002870419456*a^5*b^14+284558007314939904*a^6*b^13+515086013240967168*a^7*b^12+673574017315110912*a^8*b^11+628291730436784128*a^9*b^10+390559724325568512*a^10*b^9+118866003055607808*a^11*b^8-39622001018535936*a^12*b^7-68438001759289344*a^13*b^6-39622001018535936*a^14*b^5-13022615719378944*a^15*b^4-2414527534596096*a^16*b^3-197912092999680*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1)))-(5198490976124928*a^2*b^17+59188909946437632*a^3*b^16+297580623034318848*a^4*b^15+847670688457162752*a^5*b^14+1409582702901854208*a^6*b^13+1030172026481934336*a^7*b^12-1030172026481934336*a^8*b^11-3950879530134011904*a^9*b^10-5671606431510429696*a^10*b^9-5045201463026909184*a^11*b^8-2984857410063040512*a^12*b^7-1145436029444947968*a^13*b^6-247337339691466752*a^14*b^5-11267795161448448*a^15*b^4+7045670510788608*a^16*b^3+1187472557998080*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1)))-(13062198137978880*a^2*b^17+137192662867378176*a^3*b^16+637197774621769728*a^4*b^15+1698006593100054528*a^5*b^14+2782881522087100416*a^6*b^13+2677750618285670400*a^7*b^12+967473475419635712*a^8*b^11-990114618858799104*a^9*b^10-1590975733205827584*a^10*b^9-922191188541308928*a^11*b^8-187224839977697280*a^12*b^7+28736835903553536*a^13*b^6-14328835533176832*a^14*b^5-33328396461146112*a^15*b^4-14012176184377344*a^16*b^3-1979120929996800*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1)))-(12151802510180352*a^2*b^17+129078267054391296*a^3*b^16+603988125416423424*a^4*b^15+1604394173111205888*a^5*b^14+2538935076255694848*a^6*b^13+2063391899196063744*a^7*b^12-297382710941319168*a^8*b^11-2872377370541555712*a^9*b^10-3478463364143775744*a^10*b^9-2045975635012091904*a^11*b^8-353985569539227648*a^12*b^7+362218712608014336*a^13*b^6+306724161730904064*a^14*b^5+109366222591623168*a^15*b^4+19514132369768448*a^16*b^3+1385384650997760*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1)))-(3892271162327040*a^2*b^17+45691305203859456*a^3*b^16+239434050111012864*a^4*b^15+725717256750759936*a^5*b^14+1351436129978548224*a^6*b^13+1398090607368339456*a^7*b^12+107545431336026112*a^8*b^11-2201851199458639872*a^9*b^10-4024463246311292928*a^10*b^9-4145216011320164352*a^11*b^8-2854670835287851008*a^12*b^7-1354866606257209344*a^13*b^6-434126773064564736*a^14*b^5-87701445477924864*a^15*b^4-9539362882584576*a^16*b^3-356241767399424*a^17*b^2)/(10133099161583616*a^2*b^18*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^3*b^17*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^4*b^16*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^5*b^15*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^6*b^14*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^7*b^13*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^8*b^12*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^9*b^11*sign(tan((f*x+exp(1))/2)^2-1)+130412986209581137920*a^10*b^10*sign(tan((f*x+exp(1))/2)^2-1)+115922654408516567040*a^11*b^9*sign(tan((f*x+exp(1))/2)^2-1)+81145858085961596928*a^12*b^8*sign(tan((f*x+exp(1))/2)^2-1)+44261377137797234688*a^13*b^7*sign(tan((f*x+exp(1))/2)^2-1)+18442240474082181120*a^14*b^6*sign(tan((f*x+exp(1))/2)^2-1)+5674535530486824960*a^15*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1215971899390033920*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+162129586585337856*a^17*b^3*sign(tan((f*x+exp(1))/2)^2-1)+10133099161583616*a^18*b^2*sign(tan((f*x+exp(1))/2)^2-1)))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(-((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(-6*a^3-8*b^3+4*a*b^2+6*a^2*b)+(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3*(4*a^2+6*b^2-12*a*b)+sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2*(3*a^2-5*b^2-2*a*b)+sqrt(a+b)*(-5*a^3+7*b^3+9*a*b^2-3*a^2*b))/((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a-b)^2/(64*a^4+64*b^4+256*a*b^3+384*a^2*b^2+256*a^3*b)/sign(tan((f*x+exp(1))/2)^2-1)-1/2*(3*a^2+8*b^2-24*a*b)*atan((-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(16*a^4+16*b^4+64*a*b^3+96*a^2*b^2+64*a^3*b)/sign(tan((f*x+exp(1))/2)^2-1)-sqrt(a+b)*(3*a^2+8*b^2-24*a*b)*ln(abs((a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))+sqrt(a+b)*(a-b)))/(64*a^5+64*b^5+320*a*b^4+640*a^2*b^3+640*a^3*b^2+320*a^4*b)/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
125,0,0,0,0.000000," ","integrate(sin(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
126,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
128,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-5/2), x)","F",0
129,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
130,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
131,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
132,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*(d*sin(f*x+e))^m,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \left(d \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*(d*sin(f*x + e))^m, x)","F",0
133,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*sin(f*x+e)^5,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sin(f*x + e)^5, x)","F",0
134,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*sin(f*x+e)^3,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sin(f*x + e)^3, x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*sin(f*x+e),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sin(f*x + e), x)","F",0
136,0,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*csc(f*x + e), x)","F",0
137,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*csc(f*x + e)^3, x)","F",0
138,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*sin(f*x+e)^4,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sin(f*x + e)^4, x)","F",0
139,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*sin(f*x+e)^2,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sin(f*x + e)^2, x)","F",0
140,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p, x)","F",0
141,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*csc(f*x + e)^2, x)","F",0
142,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*csc(f*x + e)^4, x)","F",0
143,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*csc(f*x + e)^6, x)","F",0
144,1,66,0,0.357040," ","integrate((a-a*sec(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{15 \, a^{4} \tan\left(d x + c\right)^{7} - 21 \, a^{4} \tan\left(d x + c\right)^{5} + 35 \, a^{4} \tan\left(d x + c\right)^{3} + 105 \, {\left(d x + c\right)} a^{4} - 105 \, a^{4} \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*a^4*tan(d*x + c)^7 - 21*a^4*tan(d*x + c)^5 + 35*a^4*tan(d*x + c)^3 + 105*(d*x + c)*a^4 - 105*a^4*tan(d*x + c))/d","A",0
145,1,53,0,0.421962," ","integrate((a-a*sec(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{3 \, a^{3} \tan\left(d x + c\right)^{5} - 5 \, a^{3} \tan\left(d x + c\right)^{3} - 15 \, {\left(d x + c\right)} a^{3} + 15 \, a^{3} \tan\left(d x + c\right)}{15 \, d}"," ",0,"-1/15*(3*a^3*tan(d*x + c)^5 - 5*a^3*tan(d*x + c)^3 - 15*(d*x + c)*a^3 + 15*a^3*tan(d*x + c))/d","A",0
146,1,39,0,0.215292," ","integrate((a-a*sec(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{a^{2} \tan\left(d x + c\right)^{3} + 3 \, {\left(d x + c\right)} a^{2} - 3 \, a^{2} \tan\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(a^2*tan(d*x + c)^3 + 3*(d*x + c)*a^2 - 3*a^2*tan(d*x + c))/d","A",0
147,1,16,0,0.243336," ","integrate(a-a*sec(d*x+c)^2,x, algorithm=""giac"")","a x - \frac{a \tan\left(d x + c\right)}{d}"," ",0,"a*x - a*tan(d*x + c)/d","A",0
148,1,45,0,0.237827," ","integrate(1/(a-a*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x + c\right)}}{a} - \frac{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a} + \frac{1}{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)/a - tan(1/2*d*x + 1/2*c)/a + 1/(a*tan(1/2*d*x + 1/2*c)))/d","B",0
149,1,80,0,0.640547," ","integrate(1/(a-a*sec(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{24 \, {\left(d x + c\right)}}{a^{2}} + \frac{15 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1}{a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}} + \frac{a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 15 \, a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a^{6}}}{24 \, d}"," ",0,"1/24*(24*(d*x + c)/a^2 + (15*tan(1/2*d*x + 1/2*c)^2 - 1)/(a^2*tan(1/2*d*x + 1/2*c)^3) + (a^4*tan(1/2*d*x + 1/2*c)^3 - 15*a^4*tan(1/2*d*x + 1/2*c))/a^6)/d","B",0
150,1,111,0,0.245808," ","integrate(1/(a-a*sec(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{480 \, {\left(d x + c\right)}}{a^{3}} + \frac{330 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 35 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 3}{a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}} - \frac{3 \, a^{12} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 35 \, a^{12} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 330 \, a^{12} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a^{15}}}{480 \, d}"," ",0,"1/480*(480*(d*x + c)/a^3 + (330*tan(1/2*d*x + 1/2*c)^4 - 35*tan(1/2*d*x + 1/2*c)^2 + 3)/(a^3*tan(1/2*d*x + 1/2*c)^5) - (3*a^12*tan(1/2*d*x + 1/2*c)^5 - 35*a^12*tan(1/2*d*x + 1/2*c)^3 + 330*a^12*tan(1/2*d*x + 1/2*c))/a^15)/d","B",0
151,1,139,0,0.377693," ","integrate(1/(a-a*sec(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{\frac{13440 \, {\left(d x + c\right)}}{a^{4}} + \frac{9765 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 1295 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 189 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15}{a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7}} + \frac{15 \, a^{24} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 189 \, a^{24} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 1295 \, a^{24} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 9765 \, a^{24} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a^{28}}}{13440 \, d}"," ",0,"1/13440*(13440*(d*x + c)/a^4 + (9765*tan(1/2*d*x + 1/2*c)^6 - 1295*tan(1/2*d*x + 1/2*c)^4 + 189*tan(1/2*d*x + 1/2*c)^2 - 15)/(a^4*tan(1/2*d*x + 1/2*c)^7) + (15*a^24*tan(1/2*d*x + 1/2*c)^7 - 189*a^24*tan(1/2*d*x + 1/2*c)^5 + 1295*a^24*tan(1/2*d*x + 1/2*c)^3 - 9765*a^24*tan(1/2*d*x + 1/2*c))/a^28)/d","B",0
152,-2,0,0,0.000000," ","integrate(sec(f*x+e)^5*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-(6*a+5*b)/64*ln(abs(sin(f*x+exp(1))-1))+(6*a+5*b)/64*ln(abs(sin(f*x+exp(1))+1))+(-18*sin(f*x+exp(1))^5*a-15*sin(f*x+exp(1))^5*b+48*sin(f*x+exp(1))^3*a+40*sin(f*x+exp(1))^3*b-30*sin(f*x+exp(1))*a-33*sin(f*x+exp(1))*b)*1/96/(sin(f*x+exp(1))^2-1)^3)","F(-2)",0
153,-2,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-4*a-3*b)/32*ln(abs(sin(f*x+exp(1))-1))-(-4*a-3*b)/32*ln(abs(sin(f*x+exp(1))+1))-(4*sin(f*x+exp(1))^3*a+3*sin(f*x+exp(1))^3*b-4*sin(f*x+exp(1))*a-5*sin(f*x+exp(1))*b)*1/16/(sin(f*x+exp(1))^2-1)^2)","F(-2)",0
154,-2,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-(2*a+b)/8*ln(abs(sin(f*x+exp(1))-1))+(2*a+b)/8*ln(abs(sin(f*x+exp(1))+1))-sin(f*x+exp(1))*b*1/4/(sin(f*x+exp(1))^2-1))","F(-2)",0
155,-2,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b/4*ln(abs(sin(f*x+exp(1))-1))+b/4*ln(abs(sin(f*x+exp(1))+1))+sin(f*x+exp(1))*a/2)","F(-2)",0
156,1,37,0,0.170338," ","integrate(cos(f*x+e)^3*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{a \sin\left(f x + e\right)^{3} - 3 \, a \sin\left(f x + e\right) - 3 \, b \sin\left(f x + e\right)}{3 \, f}"," ",0,"-1/3*(a*sin(f*x + e)^3 - 3*a*sin(f*x + e) - 3*b*sin(f*x + e))/f","A",0
157,1,62,0,0.267606," ","integrate(cos(f*x+e)^5*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, a \sin\left(f x + e\right)^{5} - 10 \, a \sin\left(f x + e\right)^{3} - 5 \, b \sin\left(f x + e\right)^{3} + 15 \, a \sin\left(f x + e\right) + 15 \, b \sin\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*a*sin(f*x + e)^5 - 10*a*sin(f*x + e)^3 - 5*b*sin(f*x + e)^3 + 15*a*sin(f*x + e) + 15*b*sin(f*x + e))/f","A",0
158,1,86,0,0.226717," ","integrate(sec(f*x+e)^6*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{15 \, b \tan\left(f x + e\right)^{7} + 21 \, a \tan\left(f x + e\right)^{5} + 63 \, b \tan\left(f x + e\right)^{5} + 70 \, a \tan\left(f x + e\right)^{3} + 105 \, b \tan\left(f x + e\right)^{3} + 105 \, a \tan\left(f x + e\right) + 105 \, b \tan\left(f x + e\right)}{105 \, f}"," ",0,"1/105*(15*b*tan(f*x + e)^7 + 21*a*tan(f*x + e)^5 + 63*b*tan(f*x + e)^5 + 70*a*tan(f*x + e)^3 + 105*b*tan(f*x + e)^3 + 105*a*tan(f*x + e) + 105*b*tan(f*x + e))/f","A",0
159,1,62,0,0.817954," ","integrate(sec(f*x+e)^4*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, b \tan\left(f x + e\right)^{5} + 5 \, a \tan\left(f x + e\right)^{3} + 10 \, b \tan\left(f x + e\right)^{3} + 15 \, a \tan\left(f x + e\right) + 15 \, b \tan\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*b*tan(f*x + e)^5 + 5*a*tan(f*x + e)^3 + 10*b*tan(f*x + e)^3 + 15*a*tan(f*x + e) + 15*b*tan(f*x + e))/f","A",0
160,1,37,0,0.357572," ","integrate(sec(f*x+e)^2*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) + 3 \, b \tan\left(f x + e\right)}{3 \, f}"," ",0,"1/3*(b*tan(f*x + e)^3 + 3*a*tan(f*x + e) + 3*b*tan(f*x + e))/f","A",0
161,1,16,0,0.203413," ","integrate(a+b*sec(f*x+e)^2,x, algorithm=""giac"")","a x + \frac{b \tan\left(f x + e\right)}{f}"," ",0,"a*x + b*tan(f*x + e)/f","A",0
162,1,40,0,0.184351," ","integrate(cos(f*x+e)^2*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} {\left(a + 2 \, b\right)} + \frac{a \tan\left(f x + e\right)}{\tan\left(f x + e\right)^{2} + 1}}{2 \, f}"," ",0,"1/2*((f*x + e)*(a + 2*b) + a*tan(f*x + e)/(tan(f*x + e)^2 + 1))/f","A",0
163,1,79,0,1.149399," ","integrate(cos(f*x+e)^4*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} {\left(3 \, a + 4 \, b\right)} + \frac{3 \, a \tan\left(f x + e\right)^{3} + 4 \, b \tan\left(f x + e\right)^{3} + 5 \, a \tan\left(f x + e\right) + 4 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2}}}{8 \, f}"," ",0,"1/8*((f*x + e)*(3*a + 4*b) + (3*a*tan(f*x + e)^3 + 4*b*tan(f*x + e)^3 + 5*a*tan(f*x + e) + 4*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^2)/f","A",0
164,1,104,0,0.231989," ","integrate(cos(f*x+e)^6*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, {\left(f x + e\right)} {\left(5 \, a + 6 \, b\right)} + \frac{15 \, a \tan\left(f x + e\right)^{5} + 18 \, b \tan\left(f x + e\right)^{5} + 40 \, a \tan\left(f x + e\right)^{3} + 48 \, b \tan\left(f x + e\right)^{3} + 33 \, a \tan\left(f x + e\right) + 30 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3}}}{48 \, f}"," ",0,"1/48*(3*(f*x + e)*(5*a + 6*b) + (15*a*tan(f*x + e)^5 + 18*b*tan(f*x + e)^5 + 40*a*tan(f*x + e)^3 + 48*b*tan(f*x + e)^3 + 33*a*tan(f*x + e) + 30*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^3)/f","A",0
165,-2,0,0,0.000000," ","integrate(sec(f*x+e)^5*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-48*a^2-80*a*b-35*b^2)/512*ln(abs(sin(f*x+exp(1))-1))-(-48*a^2-80*a*b-35*b^2)/512*ln(abs(sin(f*x+exp(1))+1))+(-144*sin(f*x+exp(1))^7*a^2-240*sin(f*x+exp(1))^7*a*b-105*sin(f*x+exp(1))^7*b^2+528*sin(f*x+exp(1))^5*a^2+880*sin(f*x+exp(1))^5*a*b+385*sin(f*x+exp(1))^5*b^2-624*sin(f*x+exp(1))^3*a^2-1168*sin(f*x+exp(1))^3*a*b-511*sin(f*x+exp(1))^3*b^2+240*sin(f*x+exp(1))*a^2+528*sin(f*x+exp(1))*a*b+279*sin(f*x+exp(1))*b^2)*1/768/(sin(f*x+exp(1))^2-1)^4)","F(-2)",0
166,-2,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-(8*a^2+12*a*b+5*b^2)/64*ln(abs(sin(f*x+exp(1))-1))+(8*a^2+12*a*b+5*b^2)/64*ln(abs(sin(f*x+exp(1))+1))+(-24*sin(f*x+exp(1))^5*a^2-36*sin(f*x+exp(1))^5*a*b-15*sin(f*x+exp(1))^5*b^2+48*sin(f*x+exp(1))^3*a^2+96*sin(f*x+exp(1))^3*a*b+40*sin(f*x+exp(1))^3*b^2-24*sin(f*x+exp(1))*a^2-60*sin(f*x+exp(1))*a*b-33*sin(f*x+exp(1))*b^2)*1/96/(sin(f*x+exp(1))^2-1)^3)","F(-2)",0
167,-2,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-8*a^2-8*a*b-3*b^2)/32*ln(abs(sin(f*x+exp(1))-1))-(-8*a^2-8*a*b-3*b^2)/32*ln(abs(sin(f*x+exp(1))+1))-(8*sin(f*x+exp(1))^3*a*b+3*sin(f*x+exp(1))^3*b^2-8*sin(f*x+exp(1))*a*b-5*sin(f*x+exp(1))*b^2)*1/16/(sin(f*x+exp(1))^2-1)^2)","F(-2)",0
168,-2,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(sin(f*x+exp(1))*a^2/2-sin(f*x+exp(1))*b^2*1/4/(sin(f*x+exp(1))^2-1)-(4*a*b+b^2)/8*ln(abs(sin(f*x+exp(1))-1))+(4*a*b+b^2)/8*ln(abs(sin(f*x+exp(1))+1)))","F(-2)",0
169,-2,0,0,0.000000," ","integrate(cos(f*x+e)^3*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b^2/4*ln(abs(sin(f*x+exp(1))-1))+b^2/4*ln(abs(sin(f*x+exp(1))+1))+(-4/3*sin(f*x+exp(1))^3*a^2+4*sin(f*x+exp(1))*a^2+8*sin(f*x+exp(1))*a*b)/8)","F(-2)",0
170,1,82,0,0.214385," ","integrate(cos(f*x+e)^5*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} \sin\left(f x + e\right)^{5} - 10 \, a^{2} \sin\left(f x + e\right)^{3} - 10 \, a b \sin\left(f x + e\right)^{3} + 15 \, a^{2} \sin\left(f x + e\right) + 30 \, a b \sin\left(f x + e\right) + 15 \, b^{2} \sin\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*a^2*sin(f*x + e)^5 - 10*a^2*sin(f*x + e)^3 - 10*a*b*sin(f*x + e)^3 + 15*a^2*sin(f*x + e) + 30*a*b*sin(f*x + e) + 15*b^2*sin(f*x + e))/f","A",0
171,1,164,0,0.290593," ","integrate(sec(f*x+e)^6*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{35 \, b^{2} \tan\left(f x + e\right)^{9} + 90 \, a b \tan\left(f x + e\right)^{7} + 180 \, b^{2} \tan\left(f x + e\right)^{7} + 63 \, a^{2} \tan\left(f x + e\right)^{5} + 378 \, a b \tan\left(f x + e\right)^{5} + 378 \, b^{2} \tan\left(f x + e\right)^{5} + 210 \, a^{2} \tan\left(f x + e\right)^{3} + 630 \, a b \tan\left(f x + e\right)^{3} + 420 \, b^{2} \tan\left(f x + e\right)^{3} + 315 \, a^{2} \tan\left(f x + e\right) + 630 \, a b \tan\left(f x + e\right) + 315 \, b^{2} \tan\left(f x + e\right)}{315 \, f}"," ",0,"1/315*(35*b^2*tan(f*x + e)^9 + 90*a*b*tan(f*x + e)^7 + 180*b^2*tan(f*x + e)^7 + 63*a^2*tan(f*x + e)^5 + 378*a*b*tan(f*x + e)^5 + 378*b^2*tan(f*x + e)^5 + 210*a^2*tan(f*x + e)^3 + 630*a*b*tan(f*x + e)^3 + 420*b^2*tan(f*x + e)^3 + 315*a^2*tan(f*x + e) + 630*a*b*tan(f*x + e) + 315*b^2*tan(f*x + e))/f","A",0
172,1,123,0,0.275841," ","integrate(sec(f*x+e)^4*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{15 \, b^{2} \tan\left(f x + e\right)^{7} + 42 \, a b \tan\left(f x + e\right)^{5} + 63 \, b^{2} \tan\left(f x + e\right)^{5} + 35 \, a^{2} \tan\left(f x + e\right)^{3} + 140 \, a b \tan\left(f x + e\right)^{3} + 105 \, b^{2} \tan\left(f x + e\right)^{3} + 105 \, a^{2} \tan\left(f x + e\right) + 210 \, a b \tan\left(f x + e\right) + 105 \, b^{2} \tan\left(f x + e\right)}{105 \, f}"," ",0,"1/105*(15*b^2*tan(f*x + e)^7 + 42*a*b*tan(f*x + e)^5 + 63*b^2*tan(f*x + e)^5 + 35*a^2*tan(f*x + e)^3 + 140*a*b*tan(f*x + e)^3 + 105*b^2*tan(f*x + e)^3 + 105*a^2*tan(f*x + e) + 210*a*b*tan(f*x + e) + 105*b^2*tan(f*x + e))/f","A",0
173,1,82,0,0.902406," ","integrate(sec(f*x+e)^2*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} \tan\left(f x + e\right)^{5} + 10 \, a b \tan\left(f x + e\right)^{3} + 10 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) + 30 \, a b \tan\left(f x + e\right) + 15 \, b^{2} \tan\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*b^2*tan(f*x + e)^5 + 10*a*b*tan(f*x + e)^3 + 10*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) + 30*a*b*tan(f*x + e) + 15*b^2*tan(f*x + e))/f","A",0
174,1,53,0,0.228597," ","integrate((a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right)^{3} + 3 \, {\left(f x + e\right)} a^{2} + 6 \, a b \tan\left(f x + e\right) + 3 \, b^{2} \tan\left(f x + e\right)}{3 \, f}"," ",0,"1/3*(b^2*tan(f*x + e)^3 + 3*(f*x + e)*a^2 + 6*a*b*tan(f*x + e) + 3*b^2*tan(f*x + e))/f","A",0
175,1,57,0,0.742277," ","integrate(cos(f*x+e)^2*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{2 \, b^{2} \tan\left(f x + e\right) + {\left(a^{2} + 4 \, a b\right)} {\left(f x + e\right)} + \frac{a^{2} \tan\left(f x + e\right)}{\tan\left(f x + e\right)^{2} + 1}}{2 \, f}"," ",0,"1/2*(2*b^2*tan(f*x + e) + (a^2 + 4*a*b)*(f*x + e) + a^2*tan(f*x + e)/(tan(f*x + e)^2 + 1))/f","A",0
176,1,93,0,0.592298," ","integrate(cos(f*x+e)^4*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{{\left(3 \, a^{2} + 8 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)} + \frac{3 \, a^{2} \tan\left(f x + e\right)^{3} + 8 \, a b \tan\left(f x + e\right)^{3} + 5 \, a^{2} \tan\left(f x + e\right) + 8 \, a b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2}}}{8 \, f}"," ",0,"1/8*((3*a^2 + 8*a*b + 8*b^2)*(f*x + e) + (3*a^2*tan(f*x + e)^3 + 8*a*b*tan(f*x + e)^3 + 5*a^2*tan(f*x + e) + 8*a*b*tan(f*x + e))/(tan(f*x + e)^2 + 1)^2)/f","A",0
177,1,161,0,0.254317," ","integrate(cos(f*x+e)^6*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(5 \, a^{2} + 12 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{5} + 36 \, a b \tan\left(f x + e\right)^{5} + 24 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} + 96 \, a b \tan\left(f x + e\right)^{3} + 48 \, b^{2} \tan\left(f x + e\right)^{3} + 33 \, a^{2} \tan\left(f x + e\right) + 60 \, a b \tan\left(f x + e\right) + 24 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3}}}{48 \, f}"," ",0,"1/48*(3*(5*a^2 + 12*a*b + 8*b^2)*(f*x + e) + (15*a^2*tan(f*x + e)^5 + 36*a*b*tan(f*x + e)^5 + 24*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 + 96*a*b*tan(f*x + e)^3 + 48*b^2*tan(f*x + e)^3 + 33*a^2*tan(f*x + e) + 60*a*b*tan(f*x + e) + 24*b^2*tan(f*x + e))/(tan(f*x + e)^2 + 1)^3)/f","A",0
178,1,91,0,0.328837," ","integrate((a+b*sec(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{3 \, b^{3} \tan\left(d x + c\right)^{5} + 15 \, a b^{2} \tan\left(d x + c\right)^{3} + 10 \, b^{3} \tan\left(d x + c\right)^{3} + 15 \, {\left(d x + c\right)} a^{3} + 45 \, a^{2} b \tan\left(d x + c\right) + 45 \, a b^{2} \tan\left(d x + c\right) + 15 \, b^{3} \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*b^3*tan(d*x + c)^5 + 15*a*b^2*tan(d*x + c)^3 + 10*b^3*tan(d*x + c)^3 + 15*(d*x + c)*a^3 + 45*a^2*b*tan(d*x + c) + 45*a*b^2*tan(d*x + c) + 15*b^3*tan(d*x + c))/d","A",0
179,1,148,0,0.223160," ","integrate((a+b*sec(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{15 \, b^{4} \tan\left(d x + c\right)^{7} + 84 \, a b^{3} \tan\left(d x + c\right)^{5} + 63 \, b^{4} \tan\left(d x + c\right)^{5} + 210 \, a^{2} b^{2} \tan\left(d x + c\right)^{3} + 280 \, a b^{3} \tan\left(d x + c\right)^{3} + 105 \, b^{4} \tan\left(d x + c\right)^{3} + 105 \, {\left(d x + c\right)} a^{4} + 420 \, a^{3} b \tan\left(d x + c\right) + 630 \, a^{2} b^{2} \tan\left(d x + c\right) + 420 \, a b^{3} \tan\left(d x + c\right) + 105 \, b^{4} \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*b^4*tan(d*x + c)^7 + 84*a*b^3*tan(d*x + c)^5 + 63*b^4*tan(d*x + c)^5 + 210*a^2*b^2*tan(d*x + c)^3 + 280*a*b^3*tan(d*x + c)^3 + 105*b^4*tan(d*x + c)^3 + 105*(d*x + c)*a^4 + 420*a^3*b*tan(d*x + c) + 630*a^2*b^2*tan(d*x + c) + 420*a*b^3*tan(d*x + c) + 105*b^4*tan(d*x + c))/d","A",0
180,-2,0,0,0.000000," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-a^2*1/2/b^2/sqrt(-a^2-a*b)*atan(a*sin(f*x+exp(1))/sqrt(-a^2-a*b))-(-2*a+b)*1/8/b^2*ln(abs(sin(f*x+exp(1))-1))+(-2*a+b)*1/8/b^2*ln(abs(sin(f*x+exp(1))+1))-sin(f*x+exp(1))*1/4/b/(sin(f*x+exp(1))^2-1))","F(-2)",0
181,-2,0,0,0.000000," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/4/b*ln(abs(sin(f*x+exp(1))-1))+1/4/b*ln(abs(sin(f*x+exp(1))+1))+a/b*1/2/sqrt(-a^2-a*b)*atan(a*sin(f*x+exp(1))/sqrt(-a^2-a*b)))","F(-2)",0
182,1,39,0,0.261732," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} f}"," ",0,"-arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*f)","A",0
183,1,55,0,0.231026," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{b \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} a} + \frac{\sin\left(f x + e\right)}{a}}{f}"," ",0,"(b*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*a) + sin(f*x + e)/a)/f","A",0
184,1,89,0,0.226731," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{3 \, b^{2} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} a^{2}} + \frac{a^{2} \sin\left(f x + e\right)^{3} - 3 \, a^{2} \sin\left(f x + e\right) + 3 \, a b \sin\left(f x + e\right)}{a^{3}}}{3 \, f}"," ",0,"-1/3*(3*b^2*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*a^2) + (a^2*sin(f*x + e)^3 - 3*a^2*sin(f*x + e) + 3*a*b*sin(f*x + e))/a^3)/f","A",0
185,1,136,0,0.244938," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{15 \, b^{3} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} a^{3}} + \frac{3 \, a^{4} \sin\left(f x + e\right)^{5} - 10 \, a^{4} \sin\left(f x + e\right)^{3} + 5 \, a^{3} b \sin\left(f x + e\right)^{3} + 15 \, a^{4} \sin\left(f x + e\right) - 15 \, a^{3} b \sin\left(f x + e\right) + 15 \, a^{2} b^{2} \sin\left(f x + e\right)}{a^{5}}}{15 \, f}"," ",0,"1/15*(15*b^3*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*a^3) + (3*a^4*sin(f*x + e)^5 - 10*a^4*sin(f*x + e)^3 + 5*a^3*b*sin(f*x + e)^3 + 15*a^4*sin(f*x + e) - 15*a^3*b*sin(f*x + e) + 15*a^2*b^2*sin(f*x + e))/a^5)/f","A",0
186,1,101,0,0.244132," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} a^{2}}{\sqrt{a b + b^{2}} b^{2}} + \frac{b^{2} \tan\left(f x + e\right)^{3} - 3 \, a b \tan\left(f x + e\right) + 3 \, b^{2} \tan\left(f x + e\right)}{b^{3}}}{3 \, f}"," ",0,"1/3*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*a^2/(sqrt(a*b + b^2)*b^2) + (b^2*tan(f*x + e)^3 - 3*a*b*tan(f*x + e) + 3*b^2*tan(f*x + e))/b^3)/f","A",0
187,1,69,0,0.354439," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} a}{\sqrt{a b + b^{2}} b} - \frac{\tan\left(f x + e\right)}{b}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*a/(sqrt(a*b + b^2)*b) - tan(f*x + e)/b)/f","A",0
188,1,50,0,0.221631," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)}{\sqrt{a b + b^{2}} f}"," ",0,"(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*f)","A",0
189,1,68,0,0.213410," ","integrate(1/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{\sqrt{a b + b^{2}} a} - \frac{f x + e}{a}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/(sqrt(a*b + b^2)*a) - (f*x + e)/a)/f","A",0
190,1,99,0,0.232188," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{2}}{\sqrt{a b + b^{2}} a^{2}} + \frac{{\left(f x + e\right)} {\left(a - 2 \, b\right)}}{a^{2}} + \frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} a}}{2 \, f}"," ",0,"1/2*(2*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^2/(sqrt(a*b + b^2)*a^2) + (f*x + e)*(a - 2*b)/a^2 + tan(f*x + e)/((tan(f*x + e)^2 + 1)*a))/f","A",0
191,1,149,0,1.231083," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{3}}{\sqrt{a b + b^{2}} a^{3}} - \frac{{\left(3 \, a^{2} - 4 \, a b + 8 \, b^{2}\right)} {\left(f x + e\right)}}{a^{3}} - \frac{3 \, a \tan\left(f x + e\right)^{3} - 4 \, b \tan\left(f x + e\right)^{3} + 5 \, a \tan\left(f x + e\right) - 4 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} a^{2}}}{8 \, f}"," ",0,"-1/8*(8*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^3/(sqrt(a*b + b^2)*a^3) - (3*a^2 - 4*a*b + 8*b^2)*(f*x + e)/a^3 - (3*a*tan(f*x + e)^3 - 4*b*tan(f*x + e)^3 + 5*a*tan(f*x + e) - 4*b*tan(f*x + e))/((tan(f*x + e)^2 + 1)^2*a^2))/f","A",0
192,1,229,0,0.240296," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{48 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{4}}{\sqrt{a b + b^{2}} a^{4}} + \frac{3 \, {\left(5 \, a^{3} - 6 \, a^{2} b + 8 \, a b^{2} - 16 \, b^{3}\right)} {\left(f x + e\right)}}{a^{4}} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{5} - 18 \, a b \tan\left(f x + e\right)^{5} + 24 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} - 48 \, a b \tan\left(f x + e\right)^{3} + 48 \, b^{2} \tan\left(f x + e\right)^{3} + 33 \, a^{2} \tan\left(f x + e\right) - 30 \, a b \tan\left(f x + e\right) + 24 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{3}}}{48 \, f}"," ",0,"1/48*(48*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^4/(sqrt(a*b + b^2)*a^4) + 3*(5*a^3 - 6*a^2*b + 8*a*b^2 - 16*b^3)*(f*x + e)/a^4 + (15*a^2*tan(f*x + e)^5 - 18*a*b*tan(f*x + e)^5 + 24*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 - 48*a*b*tan(f*x + e)^3 + 48*b^2*tan(f*x + e)^3 + 33*a^2*tan(f*x + e) - 30*a*b*tan(f*x + e) + 24*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^3))/f","A",0
193,-2,0,0,0.000000," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/4/b^2*ln(abs(sin(f*x+exp(1))-1))+1/4/b^2*ln(abs(sin(f*x+exp(1))+1))+(-2*a^2-3*a*b)*1/2/(-2*a*b^2-2*b^3)/sqrt(-a^2-a*b)*atan(a*sin(f*x+exp(1))/sqrt(-a^2-a*b))-sin(f*x+exp(1))*a/(-4*a*b-4*b^2)/(sin(f*x+exp(1))^2*a-a-b))","F(-2)",0
194,1,79,0,0.300591," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{\arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{\sqrt{-a^{2} - a b} {\left(a + b\right)}} + \frac{\sin\left(f x + e\right)}{{\left(a \sin\left(f x + e\right)^{2} - a - b\right)} {\left(a + b\right)}}}{2 \, f}"," ",0,"-1/2*(arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/(sqrt(-a^2 - a*b)*(a + b)) + sin(f*x + e)/((a*sin(f*x + e)^2 - a - b)*(a + b)))/f","A",0
195,1,94,0,0.662425," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, a + b\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{2} + a b\right)} \sqrt{-a^{2} - a b}} - \frac{b \sin\left(f x + e\right)}{{\left(a \sin\left(f x + e\right)^{2} - a - b\right)} {\left(a^{2} + a b\right)}}}{2 \, f}"," ",0,"-1/2*((2*a + b)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^2 + a*b)*sqrt(-a^2 - a*b)) - b*sin(f*x + e)/((a*sin(f*x + e)^2 - a - b)*(a^2 + a*b)))/f","A",0
196,1,117,0,0.328030," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{b^{2} \sin\left(f x + e\right)}{{\left(a^{3} + a^{2} b\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}} - \frac{{\left(4 \, a b + 3 \, b^{2}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{3} + a^{2} b\right)} \sqrt{-a^{2} - a b}} - \frac{2 \, \sin\left(f x + e\right)}{a^{2}}}{2 \, f}"," ",0,"-1/2*(b^2*sin(f*x + e)/((a^3 + a^2*b)*(a*sin(f*x + e)^2 - a - b)) - (4*a*b + 3*b^2)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^3 + a^2*b)*sqrt(-a^2 - a*b)) - 2*sin(f*x + e)/a^2)/f","A",0
197,1,152,0,0.285504," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \sin\left(f x + e\right)}{{\left(a^{4} + a^{3} b\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}} - \frac{3 \, {\left(6 \, a b^{2} + 5 \, b^{3}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{4} + a^{3} b\right)} \sqrt{-a^{2} - a b}} - \frac{2 \, {\left(a^{4} \sin\left(f x + e\right)^{3} - 3 \, a^{4} \sin\left(f x + e\right) + 6 \, a^{3} b \sin\left(f x + e\right)\right)}}{a^{6}}}{6 \, f}"," ",0,"1/6*(3*b^3*sin(f*x + e)/((a^4 + a^3*b)*(a*sin(f*x + e)^2 - a - b)) - 3*(6*a*b^2 + 5*b^3)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^4 + a^3*b)*sqrt(-a^2 - a*b)) - 2*(a^4*sin(f*x + e)^3 - 3*a^4*sin(f*x + e) + 6*a^3*b*sin(f*x + e))/a^6)/f","A",0
198,1,197,0,0.269097," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{15 \, b^{4} \sin\left(f x + e\right)}{{\left(a^{5} + a^{4} b\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}} - \frac{15 \, {\left(8 \, a b^{3} + 7 \, b^{4}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{5} + a^{4} b\right)} \sqrt{-a^{2} - a b}} - \frac{2 \, {\left(3 \, a^{8} \sin\left(f x + e\right)^{5} - 10 \, a^{8} \sin\left(f x + e\right)^{3} + 10 \, a^{7} b \sin\left(f x + e\right)^{3} + 15 \, a^{8} \sin\left(f x + e\right) - 30 \, a^{7} b \sin\left(f x + e\right) + 45 \, a^{6} b^{2} \sin\left(f x + e\right)\right)}}{a^{10}}}{30 \, f}"," ",0,"-1/30*(15*b^4*sin(f*x + e)/((a^5 + a^4*b)*(a*sin(f*x + e)^2 - a - b)) - 15*(8*a*b^3 + 7*b^4)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^5 + a^4*b)*sqrt(-a^2 - a*b)) - 2*(3*a^8*sin(f*x + e)^5 - 10*a^8*sin(f*x + e)^3 + 10*a^7*b*sin(f*x + e)^3 + 15*a^8*sin(f*x + e) - 30*a^7*b*sin(f*x + e) + 45*a^6*b^2*sin(f*x + e))/a^10)/f","A",0
199,1,125,0,1.420754," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{a^{2} \tan\left(f x + e\right)}{{\left(a b^{2} + b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} - \frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a^{2} + 4 \, a b\right)}}{{\left(a b^{2} + b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{2 \, \tan\left(f x + e\right)}{b^{2}}}{2 \, f}"," ",0,"1/2*(a^2*tan(f*x + e)/((a*b^2 + b^3)*(b*tan(f*x + e)^2 + a + b)) - (pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a^2 + 4*a*b)/((a*b^2 + b^3)*sqrt(a*b + b^2)) + 2*tan(f*x + e)/b^2)/f","A",0
200,1,93,0,0.273918," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a + 2 \, b\right)}}{{\left(a b + b^{2}\right)}^{\frac{3}{2}}} - \frac{a \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a b + b^{2}\right)}}}{2 \, f}"," ",0,"1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a + 2*b)/(a*b + b^2)^(3/2) - a*tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*(a*b + b^2)))/f","A",0
201,1,87,0,0.669977," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)}{\sqrt{a b + b^{2}} {\left(a + b\right)}} + \frac{\tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a + b\right)}}}{2 \, f}"," ",0,"1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*(a + b)) + tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*(a + b)))/f","A",0
202,1,119,0,0.966521," ","integrate(1/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b + 2 \, b^{2}\right)}}{{\left(a^{3} + a^{2} b\right)} \sqrt{a b + b^{2}}} + \frac{b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a^{2} + a b\right)}} - \frac{2 \, {\left(f x + e\right)}}{a^{2}}}{2 \, f}"," ",0,"-1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b + 2*b^2)/((a^3 + a^2*b)*sqrt(a*b + b^2)) + b*tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*(a^2 + a*b)) - 2*(f*x + e)/a^2)/f","A",0
203,1,203,0,0.253254," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, a b^{2} + 4 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{4} + a^{3} b\right)} \sqrt{a b + b^{2}}} + \frac{a b \tan\left(f x + e\right)^{3} + 2 \, b^{2} \tan\left(f x + e\right)^{3} + a^{2} \tan\left(f x + e\right) + 2 \, a b \tan\left(f x + e\right) + 2 \, b^{2} \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{4} + a \tan\left(f x + e\right)^{2} + 2 \, b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a^{3} + a^{2} b\right)}} + \frac{{\left(f x + e\right)} {\left(a - 4 \, b\right)}}{a^{3}}}{2 \, f}"," ",0,"1/2*((5*a*b^2 + 4*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^4 + a^3*b)*sqrt(a*b + b^2)) + (a*b*tan(f*x + e)^3 + 2*b^2*tan(f*x + e)^3 + a^2*tan(f*x + e) + 2*a*b*tan(f*x + e) + 2*b^2*tan(f*x + e))/((b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + 2*b*tan(f*x + e)^2 + a + b)*(a^3 + a^2*b)) + (f*x + e)*(a - 4*b)/a^3)/f","A",0
204,1,205,0,0.775418," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{4 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + a^{3} b\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{4 \, {\left(7 \, a b^{3} + 6 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + a^{4} b\right)} \sqrt{a b + b^{2}}} - \frac{{\left(3 \, a^{2} - 8 \, a b + 24 \, b^{2}\right)} {\left(f x + e\right)}}{a^{4}} - \frac{3 \, a \tan\left(f x + e\right)^{3} - 8 \, b \tan\left(f x + e\right)^{3} + 5 \, a \tan\left(f x + e\right) - 8 \, b \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} a^{3}}}{8 \, f}"," ",0,"-1/8*(4*b^3*tan(f*x + e)/((a^4 + a^3*b)*(b*tan(f*x + e)^2 + a + b)) + 4*(7*a*b^3 + 6*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + a^4*b)*sqrt(a*b + b^2)) - (3*a^2 - 8*a*b + 24*b^2)*(f*x + e)/a^4 - (3*a*tan(f*x + e)^3 - 8*b*tan(f*x + e)^3 + 5*a*tan(f*x + e) - 8*b*tan(f*x + e))/((tan(f*x + e)^2 + 1)^2*a^3))/f","A",0
205,1,285,0,0.524765," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{24 \, b^{4} \tan\left(f x + e\right)}{{\left(a^{5} + a^{4} b\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{24 \, {\left(9 \, a b^{4} + 8 \, b^{5}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{6} + a^{5} b\right)} \sqrt{a b + b^{2}}} + \frac{3 \, {\left(5 \, a^{3} - 12 \, a^{2} b + 24 \, a b^{2} - 64 \, b^{3}\right)} {\left(f x + e\right)}}{a^{5}} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{5} - 36 \, a b \tan\left(f x + e\right)^{5} + 72 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} - 96 \, a b \tan\left(f x + e\right)^{3} + 144 \, b^{2} \tan\left(f x + e\right)^{3} + 33 \, a^{2} \tan\left(f x + e\right) - 60 \, a b \tan\left(f x + e\right) + 72 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{4}}}{48 \, f}"," ",0,"1/48*(24*b^4*tan(f*x + e)/((a^5 + a^4*b)*(b*tan(f*x + e)^2 + a + b)) + 24*(9*a*b^4 + 8*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^6 + a^5*b)*sqrt(a*b + b^2)) + 3*(5*a^3 - 12*a^2*b + 24*a*b^2 - 64*b^3)*(f*x + e)/a^5 + (15*a^2*tan(f*x + e)^5 - 36*a*b*tan(f*x + e)^5 + 72*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 - 96*a*b*tan(f*x + e)^3 + 144*b^2*tan(f*x + e)^3 + 33*a^2*tan(f*x + e) - 60*a*b*tan(f*x + e) + 72*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^4))/f","A",0
206,1,122,0,0.359045," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a^{2} - a b}} + \frac{3 \, a \sin\left(f x + e\right)^{3} - 5 \, a \sin\left(f x + e\right) - 5 \, b \sin\left(f x + e\right)}{{\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2} {\left(a^{2} + 2 \, a b + b^{2}\right)}}}{8 \, f}"," ",0,"-1/8*(3*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^2 + 2*a*b + b^2)*sqrt(-a^2 - a*b)) + (3*a*sin(f*x + e)^3 - 5*a*sin(f*x + e) - 5*b*sin(f*x + e))/((a*sin(f*x + e)^2 - a - b)^2*(a^2 + 2*a*b + b^2)))/f","A",0
207,1,162,0,0.744120," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, a + b\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} \sqrt{-a^{2} - a b}} + \frac{4 \, a^{2} \sin\left(f x + e\right)^{3} + a b \sin\left(f x + e\right)^{3} - 4 \, a^{2} \sin\left(f x + e\right) - 3 \, a b \sin\left(f x + e\right) + b^{2} \sin\left(f x + e\right)}{{\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2}}}{8 \, f}"," ",0,"-1/8*((4*a + b)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^3 + 2*a^2*b + a*b^2)*sqrt(-a^2 - a*b)) + (4*a^2*sin(f*x + e)^3 + a*b*sin(f*x + e)^3 - 4*a^2*sin(f*x + e) - 3*a*b*sin(f*x + e) + b^2*sin(f*x + e))/((a^3 + 2*a^2*b + a*b^2)*(a*sin(f*x + e)^2 - a - b)^2))/f","A",0
208,1,185,0,1.104041," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(8 \, a^{2} + 8 \, a b + 3 \, b^{2}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{-a^{2} - a b}} - \frac{8 \, a^{2} b \sin\left(f x + e\right)^{3} + 5 \, a b^{2} \sin\left(f x + e\right)^{3} - 8 \, a^{2} b \sin\left(f x + e\right) - 11 \, a b^{2} \sin\left(f x + e\right) - 3 \, b^{3} \sin\left(f x + e\right)}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2}}}{8 \, f}"," ",0,"-1/8*((8*a^2 + 8*a*b + 3*b^2)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^4 + 2*a^3*b + a^2*b^2)*sqrt(-a^2 - a*b)) - (8*a^2*b*sin(f*x + e)^3 + 5*a*b^2*sin(f*x + e)^3 - 8*a^2*b*sin(f*x + e) - 11*a*b^2*sin(f*x + e) - 3*b^3*sin(f*x + e))/((a^4 + 2*a^3*b + a^2*b^2)*(a*sin(f*x + e)^2 - a - b)^2))/f","A",0
209,1,205,0,0.478625," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(8 \, a^{2} b + 12 \, a b^{2} + 5 \, b^{3}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{-a^{2} - a b}} - \frac{12 \, a^{2} b^{2} \sin\left(f x + e\right)^{3} + 9 \, a b^{3} \sin\left(f x + e\right)^{3} - 12 \, a^{2} b^{2} \sin\left(f x + e\right) - 19 \, a b^{3} \sin\left(f x + e\right) - 7 \, b^{4} \sin\left(f x + e\right)}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2}} + \frac{8 \, \sin\left(f x + e\right)}{a^{3}}}{8 \, f}"," ",0,"1/8*(3*(8*a^2*b + 12*a*b^2 + 5*b^3)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^5 + 2*a^4*b + a^3*b^2)*sqrt(-a^2 - a*b)) - (12*a^2*b^2*sin(f*x + e)^3 + 9*a*b^3*sin(f*x + e)^3 - 12*a^2*b^2*sin(f*x + e) - 19*a*b^3*sin(f*x + e) - 7*b^4*sin(f*x + e))/((a^5 + 2*a^4*b + a^3*b^2)*(a*sin(f*x + e)^2 - a - b)^2) + 8*sin(f*x + e)/a^3)/f","A",0
210,1,239,0,0.443372," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(48 \, a^{2} b^{2} + 80 \, a b^{3} + 35 \, b^{4}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} \sqrt{-a^{2} - a b}} - \frac{3 \, {\left(16 \, a^{2} b^{3} \sin\left(f x + e\right)^{3} + 13 \, a b^{4} \sin\left(f x + e\right)^{3} - 16 \, a^{2} b^{3} \sin\left(f x + e\right) - 27 \, a b^{4} \sin\left(f x + e\right) - 11 \, b^{5} \sin\left(f x + e\right)\right)}}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2}} + \frac{8 \, {\left(a^{6} \sin\left(f x + e\right)^{3} - 3 \, a^{6} \sin\left(f x + e\right) + 9 \, a^{5} b \sin\left(f x + e\right)\right)}}{a^{9}}}{24 \, f}"," ",0,"-1/24*(3*(48*a^2*b^2 + 80*a*b^3 + 35*b^4)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^6 + 2*a^5*b + a^4*b^2)*sqrt(-a^2 - a*b)) - 3*(16*a^2*b^3*sin(f*x + e)^3 + 13*a*b^4*sin(f*x + e)^3 - 16*a^2*b^3*sin(f*x + e) - 27*a*b^4*sin(f*x + e) - 11*b^5*sin(f*x + e))/((a^6 + 2*a^5*b + a^4*b^2)*(a*sin(f*x + e)^2 - a - b)^2) + 8*(a^6*sin(f*x + e)^3 - 3*a^6*sin(f*x + e) + 9*a^5*b*sin(f*x + e))/a^9)/f","A",0
211,1,284,0,0.318978," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(80 \, a^{2} b^{3} + 140 \, a b^{4} + 63 \, b^{5}\right)} \arctan\left(\frac{a \sin\left(f x + e\right)}{\sqrt{-a^{2} - a b}}\right)}{{\left(a^{7} + 2 \, a^{6} b + a^{5} b^{2}\right)} \sqrt{-a^{2} - a b}} - \frac{15 \, {\left(20 \, a^{2} b^{4} \sin\left(f x + e\right)^{3} + 17 \, a b^{5} \sin\left(f x + e\right)^{3} - 20 \, a^{2} b^{4} \sin\left(f x + e\right) - 35 \, a b^{5} \sin\left(f x + e\right) - 15 \, b^{6} \sin\left(f x + e\right)\right)}}{{\left(a^{7} + 2 \, a^{6} b + a^{5} b^{2}\right)} {\left(a \sin\left(f x + e\right)^{2} - a - b\right)}^{2}} + \frac{8 \, {\left(3 \, a^{12} \sin\left(f x + e\right)^{5} - 10 \, a^{12} \sin\left(f x + e\right)^{3} + 15 \, a^{11} b \sin\left(f x + e\right)^{3} + 15 \, a^{12} \sin\left(f x + e\right) - 45 \, a^{11} b \sin\left(f x + e\right) + 90 \, a^{10} b^{2} \sin\left(f x + e\right)\right)}}{a^{15}}}{120 \, f}"," ",0,"1/120*(15*(80*a^2*b^3 + 140*a*b^4 + 63*b^5)*arctan(a*sin(f*x + e)/sqrt(-a^2 - a*b))/((a^7 + 2*a^6*b + a^5*b^2)*sqrt(-a^2 - a*b)) - 15*(20*a^2*b^4*sin(f*x + e)^3 + 17*a*b^5*sin(f*x + e)^3 - 20*a^2*b^4*sin(f*x + e) - 35*a*b^5*sin(f*x + e) - 15*b^6*sin(f*x + e))/((a^7 + 2*a^6*b + a^5*b^2)*(a*sin(f*x + e)^2 - a - b)^2) + 8*(3*a^12*sin(f*x + e)^5 - 10*a^12*sin(f*x + e)^3 + 15*a^11*b*sin(f*x + e)^3 + 15*a^12*sin(f*x + e) - 45*a^11*b*sin(f*x + e) + 90*a^10*b^2*sin(f*x + e))/a^15)/f","A",0
212,1,193,0,0.358417," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a^{2} + 8 \, a b + 8 \, b^{2}\right)}}{{\left(a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} \sqrt{a b + b^{2}}} - \frac{5 \, a^{2} b \tan\left(f x + e\right)^{3} + 8 \, a b^{2} \tan\left(f x + e\right)^{3} + 3 \, a^{3} \tan\left(f x + e\right) + 11 \, a^{2} b \tan\left(f x + e\right) + 8 \, a b^{2} \tan\left(f x + e\right)}{{\left(a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}}}{8 \, f}"," ",0,"1/8*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a^2 + 8*a*b + 8*b^2)/((a^2*b^2 + 2*a*b^3 + b^4)*sqrt(a*b + b^2)) - (5*a^2*b*tan(f*x + e)^3 + 8*a*b^2*tan(f*x + e)^3 + 3*a^3*tan(f*x + e) + 11*a^2*b*tan(f*x + e) + 8*a*b^2*tan(f*x + e))/((a^2*b^2 + 2*a*b^3 + b^4)*(b*tan(f*x + e)^2 + a + b)^2))/f","A",0
213,1,171,0,1.362069," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a + 4 \, b\right)}}{{\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{a b \tan\left(f x + e\right)^{3} + 4 \, b^{2} \tan\left(f x + e\right)^{3} - a^{2} \tan\left(f x + e\right) + 3 \, a b \tan\left(f x + e\right) + 4 \, b^{2} \tan\left(f x + e\right)}{{\left(a^{2} b + 2 \, a b^{2} + b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}}}{8 \, f}"," ",0,"1/8*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a + 4*b)/((a^2*b + 2*a*b^2 + b^3)*sqrt(a*b + b^2)) + (a*b*tan(f*x + e)^3 + 4*b^2*tan(f*x + e)^3 - a^2*tan(f*x + e) + 3*a*b*tan(f*x + e) + 4*b^2*tan(f*x + e))/((a^2*b + 2*a*b^2 + b^3)*(b*tan(f*x + e)^2 + a + b)^2))/f","A",0
214,1,130,0,0.415681," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{3 \, b \tan\left(f x + e\right)^{3} + 5 \, a \tan\left(f x + e\right) + 5 \, b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2} {\left(a^{2} + 2 \, a b + b^{2}\right)}}}{8 \, f}"," ",0,"1/8*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^2 + 2*a*b + b^2)*sqrt(a*b + b^2)) + (3*b*tan(f*x + e)^3 + 5*a*tan(f*x + e) + 5*b*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)^2*(a^2 + 2*a*b + b^2)))/f","A",0
215,1,205,0,1.420216," ","integrate(1/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b + 20 \, a b^{2} + 8 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} + 4 \, b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) + 13 \, a b^{2} \tan\left(f x + e\right) + 4 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{8 \, {\left(f x + e\right)}}{a^{3}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b + 20*a*b^2 + 8*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + 2*a^4*b + a^3*b^2)*sqrt(a*b + b^2)) + (7*a*b^2*tan(f*x + e)^3 + 4*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) + 13*a*b^2*tan(f*x + e) + 4*b^3*tan(f*x + e))/((a^4 + 2*a^3*b + a^2*b^2)*(b*tan(f*x + e)^2 + a + b)^2) - 8*(f*x + e)/a^3)/f","A",0
216,1,239,0,0.336973," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(35 \, a^{2} b^{2} + 56 \, a b^{3} + 24 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{11 \, a b^{3} \tan\left(f x + e\right)^{3} + 8 \, b^{4} \tan\left(f x + e\right)^{3} + 13 \, a^{2} b^{2} \tan\left(f x + e\right) + 21 \, a b^{3} \tan\left(f x + e\right) + 8 \, b^{4} \tan\left(f x + e\right)}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} + \frac{4 \, {\left(f x + e\right)} {\left(a - 6 \, b\right)}}{a^{4}} + \frac{4 \, \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} a^{3}}}{8 \, f}"," ",0,"1/8*((35*a^2*b^2 + 56*a*b^3 + 24*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^6 + 2*a^5*b + a^4*b^2)*sqrt(a*b + b^2)) + (11*a*b^3*tan(f*x + e)^3 + 8*b^4*tan(f*x + e)^3 + 13*a^2*b^2*tan(f*x + e) + 21*a*b^3*tan(f*x + e) + 8*b^4*tan(f*x + e))/((a^5 + 2*a^4*b + a^3*b^2)*(b*tan(f*x + e)^2 + a + b)^2) + 4*(f*x + e)*(a - 6*b)/a^4 + 4*tan(f*x + e)/((tan(f*x + e)^2 + 1)*a^3))/f","A",0
217,1,491,0,0.655724," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(21 \, a^{2} b^{3} + 36 \, a b^{4} + 16 \, b^{5}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{7} + 2 \, a^{6} b + a^{5} b^{2}\right)} \sqrt{a b + b^{2}}} - \frac{3 \, a^{3} b^{2} \tan\left(f x + e\right)^{7} - 6 \, a^{2} b^{3} \tan\left(f x + e\right)^{7} - 36 \, a b^{4} \tan\left(f x + e\right)^{7} - 24 \, b^{5} \tan\left(f x + e\right)^{7} + 6 \, a^{4} b \tan\left(f x + e\right)^{5} - a^{3} b^{2} \tan\left(f x + e\right)^{5} - 73 \, a^{2} b^{3} \tan\left(f x + e\right)^{5} - 144 \, a b^{4} \tan\left(f x + e\right)^{5} - 72 \, b^{5} \tan\left(f x + e\right)^{5} + 3 \, a^{5} \tan\left(f x + e\right)^{3} + 10 \, a^{4} b \tan\left(f x + e\right)^{3} - 24 \, a^{3} b^{2} \tan\left(f x + e\right)^{3} - 136 \, a^{2} b^{3} \tan\left(f x + e\right)^{3} - 180 \, a b^{4} \tan\left(f x + e\right)^{3} - 72 \, b^{5} \tan\left(f x + e\right)^{3} + 5 \, a^{5} \tan\left(f x + e\right) + 8 \, a^{4} b \tan\left(f x + e\right) - 18 \, a^{3} b^{2} \tan\left(f x + e\right) - 69 \, a^{2} b^{3} \tan\left(f x + e\right) - 72 \, a b^{4} \tan\left(f x + e\right) - 24 \, b^{5} \tan\left(f x + e\right)}{{\left(a^{6} + 2 \, a^{5} b + a^{4} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{4} + a \tan\left(f x + e\right)^{2} + 2 \, b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{3 \, {\left(a^{2} - 4 \, a b + 16 \, b^{2}\right)} {\left(f x + e\right)}}{a^{5}}}{8 \, f}"," ",0,"-1/8*(3*(21*a^2*b^3 + 36*a*b^4 + 16*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^7 + 2*a^6*b + a^5*b^2)*sqrt(a*b + b^2)) - (3*a^3*b^2*tan(f*x + e)^7 - 6*a^2*b^3*tan(f*x + e)^7 - 36*a*b^4*tan(f*x + e)^7 - 24*b^5*tan(f*x + e)^7 + 6*a^4*b*tan(f*x + e)^5 - a^3*b^2*tan(f*x + e)^5 - 73*a^2*b^3*tan(f*x + e)^5 - 144*a*b^4*tan(f*x + e)^5 - 72*b^5*tan(f*x + e)^5 + 3*a^5*tan(f*x + e)^3 + 10*a^4*b*tan(f*x + e)^3 - 24*a^3*b^2*tan(f*x + e)^3 - 136*a^2*b^3*tan(f*x + e)^3 - 180*a*b^4*tan(f*x + e)^3 - 72*b^5*tan(f*x + e)^3 + 5*a^5*tan(f*x + e) + 8*a^4*b*tan(f*x + e) - 18*a^3*b^2*tan(f*x + e) - 69*a^2*b^3*tan(f*x + e) - 72*a*b^4*tan(f*x + e) - 24*b^5*tan(f*x + e))/((a^6 + 2*a^5*b + a^4*b^2)*(b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + 2*b*tan(f*x + e)^2 + a + b)^2) - 3*(a^2 - 4*a*b + 16*b^2)*(f*x + e)/a^5)/f","A",0
218,1,369,0,0.361576," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(99 \, a^{2} b^{4} + 176 \, a b^{5} + 80 \, b^{6}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{8} + 2 \, a^{7} b + a^{6} b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{6 \, {\left(19 \, a b^{5} \tan\left(f x + e\right)^{3} + 16 \, b^{6} \tan\left(f x + e\right)^{3} + 21 \, a^{2} b^{4} \tan\left(f x + e\right) + 37 \, a b^{5} \tan\left(f x + e\right) + 16 \, b^{6} \tan\left(f x + e\right)\right)}}{{\left(a^{7} + 2 \, a^{6} b + a^{5} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} + \frac{3 \, {\left(5 \, a^{3} - 18 \, a^{2} b + 48 \, a b^{2} - 160 \, b^{3}\right)} {\left(f x + e\right)}}{a^{6}} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{5} - 54 \, a b \tan\left(f x + e\right)^{5} + 144 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} - 144 \, a b \tan\left(f x + e\right)^{3} + 288 \, b^{2} \tan\left(f x + e\right)^{3} + 33 \, a^{2} \tan\left(f x + e\right) - 90 \, a b \tan\left(f x + e\right) + 144 \, b^{2} \tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{5}}}{48 \, f}"," ",0,"1/48*(6*(99*a^2*b^4 + 176*a*b^5 + 80*b^6)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^8 + 2*a^7*b + a^6*b^2)*sqrt(a*b + b^2)) + 6*(19*a*b^5*tan(f*x + e)^3 + 16*b^6*tan(f*x + e)^3 + 21*a^2*b^4*tan(f*x + e) + 37*a*b^5*tan(f*x + e) + 16*b^6*tan(f*x + e))/((a^7 + 2*a^6*b + a^5*b^2)*(b*tan(f*x + e)^2 + a + b)^2) + 3*(5*a^3 - 18*a^2*b + 48*a*b^2 - 160*b^3)*(f*x + e)/a^6 + (15*a^2*tan(f*x + e)^5 - 54*a*b*tan(f*x + e)^5 + 144*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 - 144*a*b*tan(f*x + e)^3 + 288*b^2*tan(f*x + e)^3 + 33*a^2*tan(f*x + e) - 90*a*b*tan(f*x + e) + 144*b^2*tan(f*x + e))/((tan(f*x + e)^2 + 1)^3*a^5))/f","A",0
219,1,324,0,1.050045," ","integrate(1/(a+b*sec(d*x+c)^2)^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(35 \, a^{3} b + 70 \, a^{2} b^{2} + 56 \, a b^{3} + 16 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(d x + c\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{7} + 3 \, a^{6} b + 3 \, a^{5} b^{2} + a^{4} b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{57 \, a^{2} b^{3} \tan\left(d x + c\right)^{5} + 66 \, a b^{4} \tan\left(d x + c\right)^{5} + 24 \, b^{5} \tan\left(d x + c\right)^{5} + 136 \, a^{3} b^{2} \tan\left(d x + c\right)^{3} + 280 \, a^{2} b^{3} \tan\left(d x + c\right)^{3} + 192 \, a b^{4} \tan\left(d x + c\right)^{3} + 48 \, b^{5} \tan\left(d x + c\right)^{3} + 87 \, a^{4} b \tan\left(d x + c\right) + 252 \, a^{3} b^{2} \tan\left(d x + c\right) + 267 \, a^{2} b^{3} \tan\left(d x + c\right) + 126 \, a b^{4} \tan\left(d x + c\right) + 24 \, b^{5} \tan\left(d x + c\right)}{{\left(a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}\right)} {\left(b \tan\left(d x + c\right)^{2} + a + b\right)}^{3}} - \frac{48 \, {\left(d x + c\right)}}{a^{4}}}{48 \, d}"," ",0,"-1/48*(3*(35*a^3*b + 70*a^2*b^2 + 56*a*b^3 + 16*b^4)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b + b^2)))/((a^7 + 3*a^6*b + 3*a^5*b^2 + a^4*b^3)*sqrt(a*b + b^2)) + (57*a^2*b^3*tan(d*x + c)^5 + 66*a*b^4*tan(d*x + c)^5 + 24*b^5*tan(d*x + c)^5 + 136*a^3*b^2*tan(d*x + c)^3 + 280*a^2*b^3*tan(d*x + c)^3 + 192*a*b^4*tan(d*x + c)^3 + 48*b^5*tan(d*x + c)^3 + 87*a^4*b*tan(d*x + c) + 252*a^3*b^2*tan(d*x + c) + 267*a^2*b^3*tan(d*x + c) + 126*a*b^4*tan(d*x + c) + 24*b^5*tan(d*x + c))/((a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3)*(b*tan(d*x + c)^2 + a + b)^3) - 48*(d*x + c)/a^4)/d","A",0
220,1,217,0,0.712362," ","integrate((a-a*sec(d*x+c)^2)^(7/2),x, algorithm=""giac"")","-\frac{6 \, \sqrt{-a} a^{3} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} + 2\right) - 6 \, \sqrt{-a} a^{3} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2\right) + \frac{11 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)}^{3} \sqrt{-a} a^{3} - 90 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)}^{2} \sqrt{-a} a^{3} + 276 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)} \sqrt{-a} a^{3} - 408 \, \sqrt{-a} a^{3}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2\right)}^{3}}}{12 \, d}"," ",0,"-1/12*(6*sqrt(-a)*a^3*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 + 2) - 6*sqrt(-a)*a^3*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2) + (11*(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)^3*sqrt(-a)*a^3 - 90*(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)^2*sqrt(-a)*a^3 + 276*(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)*sqrt(-a)*a^3 - 408*sqrt(-a)*a^3)/(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2)^3)/d","A",0
221,1,182,0,0.493399," ","integrate((a-a*sec(d*x+c)^2)^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-a} a^{2} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} + 2\right) - 2 \, \sqrt{-a} a^{2} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2\right) + \frac{3 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)}^{2} \sqrt{-a} a^{2} - 20 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)} \sqrt{-a} a^{2} + 44 \, \sqrt{-a} a^{2}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2\right)}^{2}}}{4 \, d}"," ",0,"-1/4*(2*sqrt(-a)*a^2*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 + 2) - 2*sqrt(-a)*a^2*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2) + (3*(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)^2*sqrt(-a)*a^2 - 20*(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)*sqrt(-a)*a^2 + 44*sqrt(-a)*a^2)/(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2)^2)/d","A",0
222,1,137,0,1.149667," ","integrate((a-a*sec(d*x+c)^2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{-a} a \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} + 2\right) - \sqrt{-a} a \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2\right) + \frac{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}\right)} \sqrt{-a} a - 6 \, \sqrt{-a} a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} - 2}}{2 \, d}"," ",0,"-1/2*(sqrt(-a)*a*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 + 2) - sqrt(-a)*a*log(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2) + ((tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2)*sqrt(-a)*a - 6*sqrt(-a)*a)/(tan(1/2*d*x + 1/2*c)^2 + 1/tan(1/2*d*x + 1/2*c)^2 - 2))/d","B",0
223,1,141,0,0.346809," ","integrate((a-a*sec(d*x+c)^2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \sqrt{-a} \mathrm{sgn}\left(\cos\left(d x + c\right)\right)}{d}"," ",0,"-(log(tan(1/2*d*x + 1/2*c)^2 + 1)*sgn(-tan(1/2*d*x + 1/2*c)^3 - tan(1/2*d*x + 1/2*c)) - log(abs(tan(1/2*d*x + 1/2*c) + 1))*sgn(-tan(1/2*d*x + 1/2*c)^3 - tan(1/2*d*x + 1/2*c)) - log(abs(tan(1/2*d*x + 1/2*c) - 1))*sgn(-tan(1/2*d*x + 1/2*c)^3 - tan(1/2*d*x + 1/2*c)))*sqrt(-a)*sgn(cos(d*x + c))/d","B",0
224,0,0,0,0.000000," ","integrate(1/(a-a*sec(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-a \sec\left(d x + c\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(-a*sec(d*x + c)^2 + a), x)","F",0
225,1,212,0,0.853826," ","integrate(1/(a-a*sec(d*x+c)^2)^(3/2),x, algorithm=""giac"")","\frac{\frac{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}{\sqrt{-a} a \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} + \frac{8 \, \sqrt{-a} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}{a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} + \frac{4 \, \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}\right)}{\sqrt{-a} a \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} - \frac{4 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1}{\sqrt{-a} a \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"1/8*(tan(1/2*d*x + 1/2*c)^2/(sqrt(-a)*a*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) + 8*sqrt(-a)*log(tan(1/2*d*x + 1/2*c)^2 + 1)/(a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) + 4*log(tan(1/2*d*x + 1/2*c)^2)/(sqrt(-a)*a*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) - (4*tan(1/2*d*x + 1/2*c)^2 - 1)/(sqrt(-a)*a*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*tan(1/2*d*x + 1/2*c)^2))/d","B",0
226,1,273,0,1.109683," ","integrate(1/(a-a*sec(d*x+c)^2)^(5/2),x, algorithm=""giac"")","-\frac{\frac{64 \, \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}{\sqrt{-a} a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} - \frac{32 \, \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}\right)}{\sqrt{-a} a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} - \frac{\sqrt{-a} a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 12 \, \sqrt{-a} a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}{a^{5}} + \frac{48 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 12 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}{\sqrt{-a} a^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{64 \, d}"," ",0,"-1/64*(64*log(tan(1/2*d*x + 1/2*c)^2 + 1)/(sqrt(-a)*a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) - 32*log(tan(1/2*d*x + 1/2*c)^2)/(sqrt(-a)*a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) - (sqrt(-a)*a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*tan(1/2*d*x + 1/2*c)^4 - 12*sqrt(-a)*a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*tan(1/2*d*x + 1/2*c)^2)/a^5 + (48*tan(1/2*d*x + 1/2*c)^4 - 12*tan(1/2*d*x + 1/2*c)^2 + 1)/(sqrt(-a)*a^2*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*tan(1/2*d*x + 1/2*c)^4))/d","B",0
227,1,275,0,1.699009," ","integrate(1/(a-a*sec(d*x+c)^2)^(7/2),x, algorithm=""giac"")","-\frac{\frac{384 \, \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}{\sqrt{-a} a^{3} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} - \frac{192 \, \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}\right)}{\sqrt{-a} a^{3} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} + \frac{352 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 87 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 12 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1}{\sqrt{-a} a^{3} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6}} - \frac{a^{7} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 12 \, a^{7} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 87 \, a^{7} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}{\sqrt{-a} a^{10} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{384 \, d}"," ",0,"-1/384*(384*log(tan(1/2*d*x + 1/2*c)^2 + 1)/(sqrt(-a)*a^3*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) - 192*log(tan(1/2*d*x + 1/2*c)^2)/(sqrt(-a)*a^3*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))) + (352*tan(1/2*d*x + 1/2*c)^6 - 87*tan(1/2*d*x + 1/2*c)^4 + 12*tan(1/2*d*x + 1/2*c)^2 - 1)/(sqrt(-a)*a^3*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*tan(1/2*d*x + 1/2*c)^6) - (a^7*tan(1/2*d*x + 1/2*c)^6 - 12*a^7*tan(1/2*d*x + 1/2*c)^4 + 87*a^7*tan(1/2*d*x + 1/2*c)^2)/(sqrt(-a)*a^10*sgn(-tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))))/d","B",0
228,0,0,0,0.000000," ","integrate(sec(f*x+e)^5*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e)^5, x)","F",0
229,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e)^3, x)","F",0
230,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e), x)","F",0
231,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e), x)","F",0
232,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e)^3, x)","F",0
233,0,0,0,0.000000," ","integrate(cos(f*x+e)^5*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e)^5, x)","F",0
234,0,0,0,0.000000," ","integrate(sec(f*x+e)^6*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e)^6, x)","F",0
235,0,0,0,0.000000," ","integrate(sec(f*x+e)^4*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e)^4, x)","F",0
236,0,0,0,0.000000," ","integrate(sec(f*x+e)^2*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*sec(f*x + e)^2, x)","F",0
237,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a), x)","F",0
238,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e)^2, x)","F",0
239,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e)^4, x)","F",0
240,0,0,0,0.000000," ","integrate(cos(f*x+e)^6*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cos\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cos(f*x + e)^6, x)","F",0
241,0,0,0,0.000000," ","integrate(sec(f*x+e)^5*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e)^5, x)","F",0
242,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e)^3, x)","F",0
243,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e), x)","F",0
244,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e), x)","F",0
245,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e)^3, x)","F",0
246,0,0,0,0.000000," ","integrate(cos(f*x+e)^5*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e)^5, x)","F",0
247,0,0,0,0.000000," ","integrate(sec(f*x+e)^6*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e)^6, x)","F",0
248,0,0,0,0.000000," ","integrate(sec(f*x+e)^4*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e)^4, x)","F",0
249,0,0,0,0.000000," ","integrate(sec(f*x+e)^2*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*sec(f*x + e)^2, x)","F",0
250,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
251,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e)^2, x)","F",0
252,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e)^4, x)","F",0
253,0,0,0,0.000000," ","integrate(cos(f*x+e)^6*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cos\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cos(f*x + e)^6, x)","F",0
254,0,0,0,0.000000," ","integrate((a+b*sec(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\int {\left(b \sec\left(d x + c\right)^{2} + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c)^2 + a)^(5/2), x)","F",0
255,0,0,0,0.000000," ","integrate((1+sec(x)^2)^(3/2),x, algorithm=""giac"")","\int {\left(\sec\left(x\right)^{2} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((sec(x)^2 + 1)^(3/2), x)","F",0
256,0,0,0,0.000000," ","integrate((1+sec(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\sec\left(x\right)^{2} + 1}\,{d x}"," ",0,"integrate(sqrt(sec(x)^2 + 1), x)","F",0
257,0,0,0,0.000000," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{5}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)^5/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
258,0,0,0,0.000000," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{3}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)^3/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
259,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
260,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
261,0,0,0,0.000000," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{3}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)^3/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
262,0,0,0,0.000000," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{5}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)^5/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
263,0,0,0,0.000000," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
264,0,0,0,0.000000," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
265,0,0,0,0.000000," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sec(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
266,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
267,0,0,0,0.000000," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
268,0,0,0,0.000000," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
269,0,0,0,0.000000," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cos(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
270,0,0,0,0.000000," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{5}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^5/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
271,0,0,0,0.000000," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
272,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
273,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
274,0,0,0,0.000000," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
275,0,0,0,0.000000," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{5}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^5/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
276,0,0,0,0.000000," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
277,0,0,0,0.000000," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
278,-2,0,0,0.000000," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*512*a^2*b^2*tan((f*x+exp(1))/2)*sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)*sign(tan((f*x+exp(1))/2)^2-1)/(512*a^2*b^3+512*a^3*b^2)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)","F(-2)",0
279,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-3/2), x)","F",0
280,0,0,0,0.000000," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
281,0,0,0,0.000000," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
282,0,0,0,0.000000," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
283,0,0,0,0.000000," ","integrate(sec(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{5}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^5/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
284,0,0,0,0.000000," ","integrate(sec(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
285,0,0,0,0.000000," ","integrate(sec(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
286,0,0,0,0.000000," ","integrate(cos(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
287,0,0,0,0.000000," ","integrate(cos(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{3}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^3/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
288,0,0,0,0.000000," ","integrate(cos(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{5}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^5/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
289,0,0,0,0.000000," ","integrate(sec(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
290,-2,0,0,0.000000," ","integrate(sec(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(1327104*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+2654208*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1327104*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4)-(2654208*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+1769472*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)-884736*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4))-(1327104*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+2654208*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1327104*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)","F(-2)",0
291,-2,0,0,0.000000," ","integrate(sec(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(1327104*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+2654208*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1327104*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4)-(884736*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)-1769472*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)-2654208*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4))-(1327104*a^4*b^6*sign(tan((f*x+exp(1))/2)^2-1)+2654208*a^5*b^5*sign(tan((f*x+exp(1))/2)^2-1)+1327104*a^6*b^4*sign(tan((f*x+exp(1))/2)^2-1))/(2654208*a^4*b^7+7962624*a^5*b^6+7962624*a^6*b^5+2654208*a^7*b^4))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)","F(-2)",0
292,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-5/2), x)","F",0
293,0,0,0,0.000000," ","integrate(cos(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
294,0,0,0,0.000000," ","integrate(cos(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
295,0,0,0,0.000000," ","integrate(cos(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
296,0,0,0,0.000000," ","integrate(1/(a+b*sec(d*x+c)^2)^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(d x + c\right)^{2} + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c)^2 + a)^(-7/2), x)","F",0
297,0,0,0,0.000000," ","integrate(1/(1+sec(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\sec\left(x\right)^{2} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(sec(x)^2 + 1), x)","F",0
298,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^m*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \left(d \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*(d*sec(f*x + e))^m, x)","F",0
299,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sec(f*x + e)^3, x)","F",0
300,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sec(f*x + e), x)","F",0
301,0,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e), x)","F",0
302,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e)^3, x)","F",0
303,0,0,0,0.000000," ","integrate(cos(f*x+e)^5*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e)^5, x)","F",0
304,0,0,0,0.000000," ","integrate(sec(f*x+e)^6*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sec\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sec(f*x + e)^6, x)","F",0
305,0,0,0,0.000000," ","integrate(sec(f*x+e)^4*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sec(f*x + e)^4, x)","F",0
306,0,0,0,0.000000," ","integrate(sec(f*x+e)^2*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*sec(f*x + e)^2, x)","F",0
307,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p, x)","F",0
308,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e)^2, x)","F",0
309,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e)^4, x)","F",0
310,0,0,0,0.000000," ","integrate(cos(f*x+e)^6*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cos\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cos(f*x + e)^6, x)","F",0
311,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))-a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(11*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^3*a-90*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^2*a+276*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+128*b-280*a)*1/24/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2)^3)","F(-2)",0
312,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^2*a+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+16*b-28*a)*1/8/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2)^2)","F(-2)",0
313,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))-a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a-2*a+4*b)*1/4/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))","F(-2)",0
314,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))-a/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2)))","F(-2)",0
315,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/16+(4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)*1/16/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-a/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
316,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+128*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/4096+(-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+a/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
317,1,61,0,7.145628," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e)^6,x, algorithm=""giac"")","\frac{15 \, b \tan\left(f x + e\right)^{7} + 21 \, a \tan\left(f x + e\right)^{5} - 35 \, a \tan\left(f x + e\right)^{3} - 105 \, {\left(f x + e\right)} a + 105 \, a \tan\left(f x + e\right)}{105 \, f}"," ",0,"1/105*(15*b*tan(f*x + e)^7 + 21*a*tan(f*x + e)^5 - 35*a*tan(f*x + e)^3 - 105*(f*x + e)*a + 105*a*tan(f*x + e))/f","A",0
318,1,49,0,1.673713," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e)^4,x, algorithm=""giac"")","\frac{3 \, b \tan\left(f x + e\right)^{5} + 5 \, a \tan\left(f x + e\right)^{3} + 15 \, {\left(f x + e\right)} a - 15 \, a \tan\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*b*tan(f*x + e)^5 + 5*a*tan(f*x + e)^3 + 15*(f*x + e)*a - 15*a*tan(f*x + e))/f","A",0
319,1,36,0,0.747971," ","integrate((a+b*sec(f*x+e)^2)*tan(f*x+e)^2,x, algorithm=""giac"")","\frac{b \tan\left(f x + e\right)^{3} - 3 \, {\left(f x + e\right)} a + 3 \, a \tan\left(f x + e\right)}{3 \, f}"," ",0,"1/3*(b*tan(f*x + e)^3 - 3*(f*x + e)*a + 3*a*tan(f*x + e))/f","A",0
320,1,16,0,0.871883," ","integrate(a+b*sec(f*x+e)^2,x, algorithm=""giac"")","a x + \frac{b \tan\left(f x + e\right)}{f}"," ",0,"a*x + b*tan(f*x + e)/f","A",0
321,1,57,0,0.221139," ","integrate(cot(f*x+e)^2*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(f x + e\right)} a - a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + \frac{a + b}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}}{2 \, f}"," ",0,"-1/2*(2*(f*x + e)*a - a*tan(1/2*f*x + 1/2*e) - b*tan(1/2*f*x + 1/2*e) + (a + b)/tan(1/2*f*x + 1/2*e))/f","B",0
322,1,119,0,0.258018," ","integrate(cot(f*x+e)^4*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 24 \, {\left(f x + e\right)} a - 15 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + \frac{15 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - a - b}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3}}}{24 \, f}"," ",0,"1/24*(a*tan(1/2*f*x + 1/2*e)^3 + b*tan(1/2*f*x + 1/2*e)^3 + 24*(f*x + e)*a - 15*a*tan(1/2*f*x + 1/2*e) - 3*b*tan(1/2*f*x + 1/2*e) + (15*a*tan(1/2*f*x + 1/2*e)^2 + 3*b*tan(1/2*f*x + 1/2*e)^2 - a - b)/tan(1/2*f*x + 1/2*e)^3)/f","B",0
323,1,182,0,0.398771," ","integrate(cot(f*x+e)^6*(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 35 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 15 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 480 \, {\left(f x + e\right)} a + 330 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 30 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - \frac{330 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 35 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, a + 3 \, b}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5}}}{480 \, f}"," ",0,"1/480*(3*a*tan(1/2*f*x + 1/2*e)^5 + 3*b*tan(1/2*f*x + 1/2*e)^5 - 35*a*tan(1/2*f*x + 1/2*e)^3 - 15*b*tan(1/2*f*x + 1/2*e)^3 - 480*(f*x + e)*a + 330*a*tan(1/2*f*x + 1/2*e) + 30*b*tan(1/2*f*x + 1/2*e) - (330*a*tan(1/2*f*x + 1/2*e)^4 + 30*b*tan(1/2*f*x + 1/2*e)^4 - 35*a*tan(1/2*f*x + 1/2*e)^2 - 15*b*tan(1/2*f*x + 1/2*e)^2 + 3*a + 3*b)/tan(1/2*f*x + 1/2*e)^5)/f","B",0
324,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))-a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(25*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^4*a^2-248*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^3*a^2+984*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^2*a^2+256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2+512*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b*a-1760*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a^2+256*b^2-1024*b*a+1168*a^2)*1/48/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2)^4)","F(-2)",0
325,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(-11*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^3*a^2+90*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^2*a^2+48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2+96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b*a-228*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a^2+32*b^2-192*b*a+184*a^2)*1/24/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2)^3)","F(-2)",0
326,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))-a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))^2*a^2-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a^2+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a*b+8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2+12*a^2-32*a*b)*1/8/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2)^2)","F(-2)",0
327,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+(-2*a*b-b^2)/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2-4*a*b+2*b^2)*1/4/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))","F(-2)",0
328,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-b^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+a^2/4*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+(-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b*a-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a^2)/16)","F(-2)",0
329,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-128*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2)/4096+(-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-a^2/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+a^2/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
330,1,98,0,4.735688," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e)^6,x, algorithm=""giac"")","\frac{35 \, b^{2} \tan\left(f x + e\right)^{9} + 90 \, a b \tan\left(f x + e\right)^{7} + 45 \, b^{2} \tan\left(f x + e\right)^{7} + 63 \, a^{2} \tan\left(f x + e\right)^{5} - 105 \, a^{2} \tan\left(f x + e\right)^{3} - 315 \, {\left(f x + e\right)} a^{2} + 315 \, a^{2} \tan\left(f x + e\right)}{315 \, f}"," ",0,"1/315*(35*b^2*tan(f*x + e)^9 + 90*a*b*tan(f*x + e)^7 + 45*b^2*tan(f*x + e)^7 + 63*a^2*tan(f*x + e)^5 - 105*a^2*tan(f*x + e)^3 - 315*(f*x + e)*a^2 + 315*a^2*tan(f*x + e))/f","A",0
331,1,84,0,5.145168," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e)^4,x, algorithm=""giac"")","\frac{15 \, b^{2} \tan\left(f x + e\right)^{7} + 42 \, a b \tan\left(f x + e\right)^{5} + 21 \, b^{2} \tan\left(f x + e\right)^{5} + 35 \, a^{2} \tan\left(f x + e\right)^{3} + 105 \, {\left(f x + e\right)} a^{2} - 105 \, a^{2} \tan\left(f x + e\right)}{105 \, f}"," ",0,"1/105*(15*b^2*tan(f*x + e)^7 + 42*a*b*tan(f*x + e)^5 + 21*b^2*tan(f*x + e)^5 + 35*a^2*tan(f*x + e)^3 + 105*(f*x + e)*a^2 - 105*a^2*tan(f*x + e))/f","A",0
332,1,70,0,1.084389," ","integrate((a+b*sec(f*x+e)^2)^2*tan(f*x+e)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} \tan\left(f x + e\right)^{5} + 10 \, a b \tan\left(f x + e\right)^{3} + 5 \, b^{2} \tan\left(f x + e\right)^{3} - 15 \, {\left(f x + e\right)} a^{2} + 15 \, a^{2} \tan\left(f x + e\right)}{15 \, f}"," ",0,"1/15*(3*b^2*tan(f*x + e)^5 + 10*a*b*tan(f*x + e)^3 + 5*b^2*tan(f*x + e)^3 - 15*(f*x + e)*a^2 + 15*a^2*tan(f*x + e))/f","A",0
333,1,53,0,0.220525," ","integrate((a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right)^{3} + 3 \, {\left(f x + e\right)} a^{2} + 6 \, a b \tan\left(f x + e\right) + 3 \, b^{2} \tan\left(f x + e\right)}{3 \, f}"," ",0,"1/3*(b^2*tan(f*x + e)^3 + 3*(f*x + e)*a^2 + 6*a*b*tan(f*x + e) + 3*b^2*tan(f*x + e))/f","A",0
334,1,49,0,0.393596," ","integrate(cot(f*x+e)^2*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} a^{2} - b^{2} \tan\left(f x + e\right) + \frac{a^{2} + 2 \, a b + b^{2}}{\tan\left(f x + e\right)}}{f}"," ",0,"-((f*x + e)*a^2 - b^2*tan(f*x + e) + (a^2 + 2*a*b + b^2)/tan(f*x + e))/f","A",0
335,1,187,0,0.573003," ","integrate(cot(f*x+e)^4*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 24 \, {\left(f x + e\right)} a^{2} - 15 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 6 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + \frac{15 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - a^{2} - 2 \, a b - b^{2}}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3}}}{24 \, f}"," ",0,"1/24*(a^2*tan(1/2*f*x + 1/2*e)^3 + 2*a*b*tan(1/2*f*x + 1/2*e)^3 + b^2*tan(1/2*f*x + 1/2*e)^3 + 24*(f*x + e)*a^2 - 15*a^2*tan(1/2*f*x + 1/2*e) - 6*a*b*tan(1/2*f*x + 1/2*e) + 9*b^2*tan(1/2*f*x + 1/2*e) + (15*a^2*tan(1/2*f*x + 1/2*e)^2 + 6*a*b*tan(1/2*f*x + 1/2*e)^2 - 9*b^2*tan(1/2*f*x + 1/2*e)^2 - a^2 - 2*a*b - b^2)/tan(1/2*f*x + 1/2*e)^3)/f","B",0
336,1,290,0,1.012295," ","integrate(cot(f*x+e)^6*(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 6 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 35 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 30 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 5 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 480 \, {\left(f x + e\right)} a^{2} + 330 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 60 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 30 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - \frac{330 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 60 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 30 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 35 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 30 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5}}}{480 \, f}"," ",0,"1/480*(3*a^2*tan(1/2*f*x + 1/2*e)^5 + 6*a*b*tan(1/2*f*x + 1/2*e)^5 + 3*b^2*tan(1/2*f*x + 1/2*e)^5 - 35*a^2*tan(1/2*f*x + 1/2*e)^3 - 30*a*b*tan(1/2*f*x + 1/2*e)^3 + 5*b^2*tan(1/2*f*x + 1/2*e)^3 - 480*(f*x + e)*a^2 + 330*a^2*tan(1/2*f*x + 1/2*e) + 60*a*b*tan(1/2*f*x + 1/2*e) - 30*b^2*tan(1/2*f*x + 1/2*e) - (330*a^2*tan(1/2*f*x + 1/2*e)^4 + 60*a*b*tan(1/2*f*x + 1/2*e)^4 - 30*b^2*tan(1/2*f*x + 1/2*e)^4 - 35*a^2*tan(1/2*f*x + 1/2*e)^2 - 30*a*b*tan(1/2*f*x + 1/2*e)^2 + 5*b^2*tan(1/2*f*x + 1/2*e)^2 + 3*a^2 + 6*a*b + 3*b^2)/tan(1/2*f*x + 1/2*e)^5)/f","B",0
337,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/4/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+(-b^3-3*b^2*a-3*b*a^2-a^3)/(4*b^3*a+4*b^2*a^2)*ln(abs(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+2*b-2*a))+(2*b+a)*1/4/b^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+(-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+8*b+2*a)*1/4/b^2/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))","F(-2)",0
338,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/4/b*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))-1/4/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+(-b^2-2*b*a-a^2)/(-4*b^2*a-4*b*a^2)*ln(abs(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+2*b-2*a)))","F(-2)",0
339,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/2/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/4/a*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
340,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a+4*b)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-1/2/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+b/(4*a^2+4*a*b)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b))","F(-2)",0
341,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b+16*a)+(8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)/(16*b^2+32*b*a+16*a^2)/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+1/2/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-b^2/(4*b^2*a+8*b*a^2+4*a^3)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(-2*b-a)/(4*b^2+8*b*a+4*a^2)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
342,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+640*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/(4096*b^2+8192*b*a+4096*a^2)+(-144*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-144*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)/(128*b^3+384*b^2*a+384*b*a^2+128*a^3)/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-1/2/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+b^3/(4*b^3*a+12*b^2*a^2+12*b*a^3+4*a^4)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(3*b^2+3*b*a+a^2)/(4*b^3+12*b^2*a+12*b*a^2+4*a^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
343,1,132,0,6.308228," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(f x + e\right)}}{a} - \frac{3 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a b^{2}} - \frac{b^{2} \tan\left(f x + e\right)^{3} - 3 \, a b \tan\left(f x + e\right) - 6 \, b^{2} \tan\left(f x + e\right)}{b^{3}}}{3 \, f}"," ",0,"-1/3*(3*(f*x + e)/a - 3*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a*b^2) - (b^2*tan(f*x + e)^3 - 3*a*b*tan(f*x + e) - 6*b^2*tan(f*x + e))/b^3)/f","A",0
344,1,91,0,3.025371," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{f x + e}{a} + \frac{\tan\left(f x + e\right)}{b} - \frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a^{2} + 2 \, a b + b^{2}\right)}}{\sqrt{a b + b^{2}} a b}}{f}"," ",0,"((f*x + e)/a + tan(f*x + e)/b - (pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a^2 + 2*a*b + b^2)/(sqrt(a*b + b^2)*a*b))/f","A",0
345,1,69,0,0.722370," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a + b\right)}}{\sqrt{a b + b^{2}} a} - \frac{f x + e}{a}}{f}"," ",0,"((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a + b)/(sqrt(a*b + b^2)*a) - (f*x + e)/a)/f","A",0
346,1,68,0,0.295448," ","integrate(1/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b}{\sqrt{a b + b^{2}} a} - \frac{f x + e}{a}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b/(sqrt(a*b + b^2)*a) - (f*x + e)/a)/f","A",0
347,1,91,0,1.063319," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{2}}{{\left(a^{2} + a b\right)} \sqrt{a b + b^{2}}} - \frac{f x + e}{a} - \frac{1}{{\left(a + b\right)} \tan\left(f x + e\right)}}{f}"," ",0,"((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^2/((a^2 + a*b)*sqrt(a*b + b^2)) - (f*x + e)/a - 1/((a + b)*tan(f*x + e)))/f","A",0
348,1,140,0,0.325777," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{3}}{{\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)} \sqrt{a b + b^{2}}} - \frac{3 \, {\left(f x + e\right)}}{a} - \frac{3 \, a \tan\left(f x + e\right)^{2} + 6 \, b \tan\left(f x + e\right)^{2} - a - b}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \tan\left(f x + e\right)^{3}}}{3 \, f}"," ",0,"-1/3*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^3/((a^3 + 2*a^2*b + a*b^2)*sqrt(a*b + b^2)) - 3*(f*x + e)/a - (3*a*tan(f*x + e)^2 + 6*b*tan(f*x + e)^2 - a - b)/((a^2 + 2*a*b + b^2)*tan(f*x + e)^3))/f","A",0
349,1,222,0,0.836149," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\frac{15 \, {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} b^{4}}{{\left(a^{4} + 3 \, a^{3} b + 3 \, a^{2} b^{2} + a b^{3}\right)} \sqrt{a b + b^{2}}} - \frac{15 \, {\left(f x + e\right)}}{a} - \frac{15 \, a^{2} \tan\left(f x + e\right)^{4} + 45 \, a b \tan\left(f x + e\right)^{4} + 45 \, b^{2} \tan\left(f x + e\right)^{4} - 5 \, a^{2} \tan\left(f x + e\right)^{2} - 15 \, a b \tan\left(f x + e\right)^{2} - 10 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)^{5}}}{15 \, f}"," ",0,"1/15*(15*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*b^4/((a^4 + 3*a^3*b + 3*a^2*b^2 + a*b^3)*sqrt(a*b + b^2)) - 15*(f*x + e)/a - (15*a^2*tan(f*x + e)^4 + 45*a*b*tan(f*x + e)^4 + 45*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 15*a*b*tan(f*x + e)^2 - 10*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)^5))/f","B",0
350,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/4/b^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))-2))+1/4/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+2))+(-b^3-b^2*a+b*a^2+a^3)/(4*b^3*a^2+4*b^2*a^3)*ln(abs(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+2*b-2*a))+(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^3+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b^2*a-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b*a^2-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a^3+2*b^3-6*b^2*a-6*b*a^2+2*a^3)*1/4/b^2/a^2/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1))))*a+2*b-2*a))","F(-2)",0
351,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/2/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+1/4/a^2*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+6*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)*1/4/a^2/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
352,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/2/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/4/a^2*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+b^2+2*b*a+a^2)/(4*b*a^2+4*a^3)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
353,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a^2+8*a*b+4*b^2)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-1/2/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(2*a*b+b^2)/(4*a^4+8*a^3*b+4*a^2*b^2)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b)+(-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-2*a*b-b^2)/(4*a^3+4*a^2*b)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b))","F(-2)",0
354,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b^2+32*b*a+16*a^2)+(8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a+36*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^2+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^3+4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^2-22*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^3-11*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a+30*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^2+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^3+10*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4-3*b^2*a^2-6*b*a^3-3*a^4)/(48*b^3*a^2+144*b^2*a^3+144*b*a^4+48*a^5)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)+1/2/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(-3*b-a)/(4*b^3+12*b^2*a+12*b*a^2+4*a^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-b^3-3*b^2*a)/(4*b^3*a^2+12*b^2*a^3+12*b*a^4+4*a^5)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
355,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^5-5*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4*a-4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a^2-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^5-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4*a+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a^2-b^5-5*b^4*a-4*b^3*a^2)/(4*b^4*a^2+16*b^3*a^3+24*b^2*a^4+16*b*a^5+4*a^6)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(-288*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-192*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+28*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+40*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-b^2-2*b*a-a^2)/(128*b^4+512*b^3*a+768*b^2*a^2+512*b*a^3+128*a^4)/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+896*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+1280*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2)/(4096*b^4+16384*b^3*a+24576*b^2*a^2+16384*b*a^3+4096*a^4)-1/2/a^2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(b^4+4*b^3*a)/(4*b^4*a^2+16*b^3*a^3+24*b^2*a^4+16*b*a^5+4*a^6)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(6*b^2+4*b*a+a^2)/(4*b^4+16*b^3*a+24*b^2*a^2+16*b*a^3+4*a^4)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
356,1,163,0,8.753740," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(f x + e\right)}}{a^{2}} - \frac{2 \, \tan\left(f x + e\right)}{b^{2}} + \frac{{\left(3 \, a^{3} + 4 \, a^{2} b - a b^{2} - 2 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{2} b^{2}} - \frac{a^{2} \tan\left(f x + e\right) + 2 \, a b \tan\left(f x + e\right) + b^{2} \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} a b^{2}}}{2 \, f}"," ",0,"-1/2*(2*(f*x + e)/a^2 - 2*tan(f*x + e)/b^2 + (3*a^3 + 4*a^2*b - a*b^2 - 2*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^2*b^2) - (a^2*tan(f*x + e) + 2*a*b*tan(f*x + e) + b^2*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)*a*b^2))/f","A",0
357,1,126,0,1.762492," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(f x + e\right)}}{a^{2}} + \frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a^{2} - a b - 2 \, b^{2}\right)}}{\sqrt{a b + b^{2}} a^{2} b} - \frac{a \tan\left(f x + e\right) + b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} a b}}{2 \, f}"," ",0,"1/2*(2*(f*x + e)/a^2 + (pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a^2 - a*b - 2*b^2)/(sqrt(a*b + b^2)*a^2*b) - (a*tan(f*x + e) + b*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)*a*b))/f","A",0
358,1,99,0,1.474413," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a + 2 \, b\right)}}{\sqrt{a b + b^{2}} a^{2}} - \frac{2 \, {\left(f x + e\right)}}{a^{2}} + \frac{\tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} a}}{2 \, f}"," ",0,"1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a + 2*b)/(sqrt(a*b + b^2)*a^2) - 2*(f*x + e)/a^2 + tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*a))/f","A",0
359,1,119,0,0.235084," ","integrate(1/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a b + 2 \, b^{2}\right)}}{{\left(a^{3} + a^{2} b\right)} \sqrt{a b + b^{2}}} + \frac{b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)} {\left(a^{2} + a b\right)}} - \frac{2 \, {\left(f x + e\right)}}{a^{2}}}{2 \, f}"," ",0,"-1/2*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a*b + 2*b^2)/((a^3 + a^2*b)*sqrt(a*b + b^2)) + b*tan(f*x + e)/((b*tan(f*x + e)^2 + a + b)*(a^2 + a*b)) - 2*(f*x + e)/a^2)/f","A",0
360,1,183,0,1.306754," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, a b^{2} + 2 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{a b + b^{2}}} - \frac{2 \, a b \tan\left(f x + e\right)^{2} - b^{2} \tan\left(f x + e\right)^{2} + 2 \, a^{2} + 2 \, a b}{{\left(b \tan\left(f x + e\right)^{3} + a \tan\left(f x + e\right) + b \tan\left(f x + e\right)\right)} {\left(a^{3} + 2 \, a^{2} b + a b^{2}\right)}} - \frac{2 \, {\left(f x + e\right)}}{a^{2}}}{2 \, f}"," ",0,"1/2*((5*a*b^2 + 2*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^4 + 2*a^3*b + a^2*b^2)*sqrt(a*b + b^2)) - (2*a*b*tan(f*x + e)^2 - b^2*tan(f*x + e)^2 + 2*a^2 + 2*a*b)/((b*tan(f*x + e)^3 + a*tan(f*x + e) + b*tan(f*x + e))*(a^3 + 2*a^2*b + a*b^2)) - 2*(f*x + e)/a^2)/f","A",0
361,1,220,0,0.504348," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + 3 \, a^{3} b + 3 \, a^{2} b^{2} + a b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{3 \, {\left(7 \, a b^{3} + 2 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} \sqrt{a b + b^{2}}} - \frac{6 \, {\left(f x + e\right)}}{a^{2}} - \frac{2 \, {\left(3 \, a \tan\left(f x + e\right)^{2} + 9 \, b \tan\left(f x + e\right)^{2} - a - b\right)}}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)^{3}}}{6 \, f}"," ",0,"-1/6*(3*b^3*tan(f*x + e)/((a^4 + 3*a^3*b + 3*a^2*b^2 + a*b^3)*(b*tan(f*x + e)^2 + a + b)) + 3*(7*a*b^3 + 2*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*sqrt(a*b + b^2)) - 6*(f*x + e)/a^2 - 2*(3*a*tan(f*x + e)^2 + 9*b*tan(f*x + e)^2 - a - b)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)^3))/f","A",0
362,1,310,0,1.162350," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{15 \, b^{4} \tan\left(f x + e\right)}{{\left(a^{5} + 4 \, a^{4} b + 6 \, a^{3} b^{2} + 4 \, a^{2} b^{3} + a b^{4}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}} + \frac{15 \, {\left(9 \, a b^{4} + 2 \, b^{5}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{6} + 4 \, a^{5} b + 6 \, a^{4} b^{2} + 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} \sqrt{a b + b^{2}}} - \frac{30 \, {\left(f x + e\right)}}{a^{2}} - \frac{2 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} + 60 \, a b \tan\left(f x + e\right)^{4} + 90 \, b^{2} \tan\left(f x + e\right)^{4} - 5 \, a^{2} \tan\left(f x + e\right)^{2} - 20 \, a b \tan\left(f x + e\right)^{2} - 15 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \tan\left(f x + e\right)^{5}}}{30 \, f}"," ",0,"1/30*(15*b^4*tan(f*x + e)/((a^5 + 4*a^4*b + 6*a^3*b^2 + 4*a^2*b^3 + a*b^4)*(b*tan(f*x + e)^2 + a + b)) + 15*(9*a*b^4 + 2*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^6 + 4*a^5*b + 6*a^4*b^2 + 4*a^3*b^3 + a^2*b^4)*sqrt(a*b + b^2)) - 30*(f*x + e)/a^2 - 2*(15*a^2*tan(f*x + e)^4 + 60*a*b*tan(f*x + e)^4 + 90*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 20*a*b*tan(f*x + e)^2 - 15*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*tan(f*x + e)^5))/f","A",0
363,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/4/a^3*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2+6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b*a+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2-8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a-20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-28*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a+50*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a-20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+3*b^2+6*b*a+3*a^2)*1/8/a^3/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)^2)","F(-2)",0
364,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+1/4/a^3*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^3-9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2*a-9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b*a^2-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3-4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a+28*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^2+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3+10*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a-22*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^2-34*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3-12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a+28*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^2+20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3-3*b^3-9*b^2*a-9*b*a^2-3*a^3)/(8*b*a^3+8*a^4)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)^2)","F(-2)",0
365,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/4/a^3*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)+(3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^3*a+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2*a^2+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b*a^3+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^4+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a-24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^2-40*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^3-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4+8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^2+56*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^3+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a-24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^2-40*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^3-12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4+3*b^4+12*b^3*a+18*b^2*a^2+12*b*a^3+3*a^4)/(8*b^2*a^3+16*b*a^4+8*a^5)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)^2)","F(-2)",0
366,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/(4*a^3+12*a^2*b+12*a*b^2+4*b^3)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(3*a^2*b+3*a*b^2+b^3)/(4*a^6+12*a^5*b+12*a^4*b^2+4*a^3*b^3)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b)+(-9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3*b-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2*b^2-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a*b^3-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4+36*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b+24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^2-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4-54*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2-8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4+36*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b+24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^2-16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3-12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4-9*a^3*b-18*a^2*b^2-12*a*b^3-3*b^4)/(8*a^5+16*a^4*b+8*a^3*b^2)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a+b)^2)","F(-2)",0
367,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)/(16*b^4+64*b^3*a+96*b^2*a^2+64*b*a^3+16*a^4)/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^6+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^5*a+45*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4*a^2+48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^3*a^3+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2*a^4+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^6+40*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^5*a+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4*a^2-80*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a^3-72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^4+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^6+44*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^5*a+46*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4*a^2+64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a^3+108*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^4+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^6+40*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^5*a+20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4*a^2-80*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a^3-72*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^4+3*b^6+18*b^5*a+45*b^4*a^2+48*b^3*a^3+18*b^2*a^4)/(8*b^4*a^3+32*b^3*a^4+48*b^2*a^5+32*b*a^6+8*a^7)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)^2-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))/(16*b^3+48*b^2*a+48*b*a^2+16*a^3)+1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(-4*b-a)/(4*b^4+16*b^3*a+24*b^2*a^2+16*b*a^3+4*a^4)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-b^4-4*b^3*a-6*b^2*a^2)/(4*b^4*a^3+16*b^3*a^4+24*b^2*a^5+16*b*a^6+4*a^7)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
368,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3-96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a-96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^2-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3+1152*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3+2688*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a+1920*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^2+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3)/(4096*b^6+24576*b^5*a+61440*b^4*a^2+81920*b^3*a^3+61440*b^2*a^4+24576*b*a^5+4096*a^6)+(-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^7-224*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^6*a-672*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^5*a^2-960*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^4*a^3-720*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^3*a^4-336*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b^2*a^5-112*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*b*a^6-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^7-128*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^7-512*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^6*a-384*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^5*a^2+676*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^4*a^3+1080*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^3*a^4+720*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b^2*a^5+392*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*b*a^6+76*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^7-192*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^7-576*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^6*a-704*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^5*a^2-1777*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4*a^3-1572*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^3*a^4-838*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^2*a^5-612*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b*a^6-145*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^7-128*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^7-512*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^6*a-384*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^5*a^2+852*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^4*a^3+1096*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^3*a^4+672*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b^2*a^5+568*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b*a^6+140*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^7-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^7-224*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^6*a-672*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^5*a^2-822*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4*a^3-536*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3*a^4-436*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2*a^5-312*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b*a^6-70*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^7+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^4*a^3+112*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3*a^4+144*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2*a^5+80*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b*a^6+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^7-b^4*a^3-4*b^3*a^4-6*b^2*a^5-4*b*a^6-a^7)/(128*b^5*a^3+640*b^4*a^4+1280*b^3*a^5+1280*b^2*a^6+640*b*a^7+128*a^8)/(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a+2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)^2-1/2/a^3*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(10*b^2+5*b*a+a^2)/(4*b^5+20*b^4*a+40*b^3*a^2+40*b^2*a^3+20*b*a^4+4*a^5)*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(b^5+5*b^4*a+10*b^3*a^2)/(4*b^5*a^3+20*b^4*a^4+40*b^3*a^5+40*b^2*a^6+20*b*a^7+4*a^8)*ln(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a))","F(-2)",0
369,1,211,0,6.253705," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(f x + e\right)}}{a^{3}} - \frac{{\left(3 \, a^{3} - a^{2} b + 4 \, a b^{2} + 8 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{\sqrt{a b + b^{2}} a^{3} b^{2}} + \frac{5 \, a^{2} b \tan\left(f x + e\right)^{3} + a b^{2} \tan\left(f x + e\right)^{3} - 4 \, b^{3} \tan\left(f x + e\right)^{3} + 3 \, a^{3} \tan\left(f x + e\right) + 2 \, a^{2} b \tan\left(f x + e\right) - 5 \, a b^{2} \tan\left(f x + e\right) - 4 \, b^{3} \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2} a^{2} b^{2}}}{8 \, f}"," ",0,"-1/8*(8*(f*x + e)/a^3 - (3*a^3 - a^2*b + 4*a*b^2 + 8*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/(sqrt(a*b + b^2)*a^3*b^2) + (5*a^2*b*tan(f*x + e)^3 + a*b^2*tan(f*x + e)^3 - 4*b^3*tan(f*x + e)^3 + 3*a^3*tan(f*x + e) + 2*a^2*b*tan(f*x + e) - 5*a*b^2*tan(f*x + e) - 4*b^3*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)^2*a^2*b^2))/f","A",0
370,1,168,0,2.373155," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(f x + e\right)}}{a^{3}} + \frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(a^{2} - 4 \, a b - 8 \, b^{2}\right)}}{\sqrt{a b + b^{2}} a^{3} b} + \frac{a b \tan\left(f x + e\right)^{3} - 4 \, b^{2} \tan\left(f x + e\right)^{3} - a^{2} \tan\left(f x + e\right) - 5 \, a b \tan\left(f x + e\right) - 4 \, b^{2} \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2} a^{2} b}}{8 \, f}"," ",0,"1/8*(8*(f*x + e)/a^3 + (pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(a^2 - 4*a*b - 8*b^2)/(sqrt(a*b + b^2)*a^3*b) + (a*b*tan(f*x + e)^3 - 4*b^2*tan(f*x + e)^3 - a^2*tan(f*x + e) - 5*a*b*tan(f*x + e) - 4*b^2*tan(f*x + e))/((b*tan(f*x + e)^2 + a + b)^2*a^2*b))/f","A",0
371,1,181,0,1.308682," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)} {\left(3 \, a^{2} + 12 \, a b + 8 \, b^{2}\right)}}{{\left(a^{4} + a^{3} b\right)} \sqrt{a b + b^{2}}} + \frac{3 \, a b \tan\left(f x + e\right)^{3} + 4 \, b^{2} \tan\left(f x + e\right)^{3} + 5 \, a^{2} \tan\left(f x + e\right) + 9 \, a b \tan\left(f x + e\right) + 4 \, b^{2} \tan\left(f x + e\right)}{{\left(a^{3} + a^{2} b\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{8 \, {\left(f x + e\right)}}{a^{3}}}{8 \, f}"," ",0,"1/8*((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))*(3*a^2 + 12*a*b + 8*b^2)/((a^4 + a^3*b)*sqrt(a*b + b^2)) + (3*a*b*tan(f*x + e)^3 + 4*b^2*tan(f*x + e)^3 + 5*a^2*tan(f*x + e) + 9*a*b*tan(f*x + e) + 4*b^2*tan(f*x + e))/((a^3 + a^2*b)*(b*tan(f*x + e)^2 + a + b)^2) - 8*(f*x + e)/a^3)/f","A",0
372,1,205,0,0.230405," ","integrate(1/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b + 20 \, a b^{2} + 8 \, b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{5} + 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{a b + b^{2}}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} + 4 \, b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) + 13 \, a b^{2} \tan\left(f x + e\right) + 4 \, b^{3} \tan\left(f x + e\right)}{{\left(a^{4} + 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{8 \, {\left(f x + e\right)}}{a^{3}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b + 20*a*b^2 + 8*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^5 + 2*a^4*b + a^3*b^2)*sqrt(a*b + b^2)) + (7*a*b^2*tan(f*x + e)^3 + 4*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) + 13*a*b^2*tan(f*x + e) + 4*b^3*tan(f*x + e))/((a^4 + 2*a^3*b + a^2*b^2)*(b*tan(f*x + e)^2 + a + b)^2) - 8*(f*x + e)/a^3)/f","A",0
373,1,257,0,2.404683," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(35 \, a^{2} b^{2} + 28 \, a b^{3} + 8 \, b^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{6} + 3 \, a^{5} b + 3 \, a^{4} b^{2} + a^{3} b^{3}\right)} \sqrt{a b + b^{2}}} + \frac{11 \, a b^{3} \tan\left(f x + e\right)^{3} + 4 \, b^{4} \tan\left(f x + e\right)^{3} + 13 \, a^{2} b^{2} \tan\left(f x + e\right) + 17 \, a b^{3} \tan\left(f x + e\right) + 4 \, b^{4} \tan\left(f x + e\right)}{{\left(a^{5} + 3 \, a^{4} b + 3 \, a^{3} b^{2} + a^{2} b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{8 \, {\left(f x + e\right)}}{a^{3}} - \frac{8}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} \tan\left(f x + e\right)}}{8 \, f}"," ",0,"1/8*((35*a^2*b^2 + 28*a*b^3 + 8*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^6 + 3*a^5*b + 3*a^4*b^2 + a^3*b^3)*sqrt(a*b + b^2)) + (11*a*b^3*tan(f*x + e)^3 + 4*b^4*tan(f*x + e)^3 + 13*a^2*b^2*tan(f*x + e) + 17*a*b^3*tan(f*x + e) + 4*b^4*tan(f*x + e))/((a^5 + 3*a^4*b + 3*a^3*b^2 + a^2*b^3)*(b*tan(f*x + e)^2 + a + b)^2) - 8*(f*x + e)/a^3 - 8/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*tan(f*x + e)))/f","A",0
374,1,314,0,4.141364," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(63 \, a^{2} b^{3} + 36 \, a b^{4} + 8 \, b^{5}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{7} + 4 \, a^{6} b + 6 \, a^{5} b^{2} + 4 \, a^{4} b^{3} + a^{3} b^{4}\right)} \sqrt{a b + b^{2}}} + \frac{3 \, {\left(15 \, a b^{4} \tan\left(f x + e\right)^{3} + 4 \, b^{5} \tan\left(f x + e\right)^{3} + 17 \, a^{2} b^{3} \tan\left(f x + e\right) + 21 \, a b^{4} \tan\left(f x + e\right) + 4 \, b^{5} \tan\left(f x + e\right)\right)}}{{\left(a^{6} + 4 \, a^{5} b + 6 \, a^{4} b^{2} + 4 \, a^{3} b^{3} + a^{2} b^{4}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{24 \, {\left(f x + e\right)}}{a^{3}} - \frac{8 \, {\left(3 \, a \tan\left(f x + e\right)^{2} + 12 \, b \tan\left(f x + e\right)^{2} - a - b\right)}}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} \tan\left(f x + e\right)^{3}}}{24 \, f}"," ",0,"-1/24*(3*(63*a^2*b^3 + 36*a*b^4 + 8*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^7 + 4*a^6*b + 6*a^5*b^2 + 4*a^4*b^3 + a^3*b^4)*sqrt(a*b + b^2)) + 3*(15*a*b^4*tan(f*x + e)^3 + 4*b^5*tan(f*x + e)^3 + 17*a^2*b^3*tan(f*x + e) + 21*a*b^4*tan(f*x + e) + 4*b^5*tan(f*x + e))/((a^6 + 4*a^5*b + 6*a^4*b^2 + 4*a^3*b^3 + a^2*b^4)*(b*tan(f*x + e)^2 + a + b)^2) - 24*(f*x + e)/a^3 - 8*(3*a*tan(f*x + e)^2 + 12*b*tan(f*x + e)^2 - a - b)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*tan(f*x + e)^3))/f","A",0
375,1,404,0,1.274468," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(99 \, a^{2} b^{4} + 44 \, a b^{5} + 8 \, b^{6}\right)} {\left(\pi \left \lfloor \frac{f x + e}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(f x + e\right)}{\sqrt{a b + b^{2}}}\right)\right)}}{{\left(a^{8} + 5 \, a^{7} b + 10 \, a^{6} b^{2} + 10 \, a^{5} b^{3} + 5 \, a^{4} b^{4} + a^{3} b^{5}\right)} \sqrt{a b + b^{2}}} + \frac{15 \, {\left(19 \, a b^{5} \tan\left(f x + e\right)^{3} + 4 \, b^{6} \tan\left(f x + e\right)^{3} + 21 \, a^{2} b^{4} \tan\left(f x + e\right) + 25 \, a b^{5} \tan\left(f x + e\right) + 4 \, b^{6} \tan\left(f x + e\right)\right)}}{{\left(a^{7} + 5 \, a^{6} b + 10 \, a^{5} b^{2} + 10 \, a^{4} b^{3} + 5 \, a^{3} b^{4} + a^{2} b^{5}\right)} {\left(b \tan\left(f x + e\right)^{2} + a + b\right)}^{2}} - \frac{120 \, {\left(f x + e\right)}}{a^{3}} - \frac{8 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} + 75 \, a b \tan\left(f x + e\right)^{4} + 150 \, b^{2} \tan\left(f x + e\right)^{4} - 5 \, a^{2} \tan\left(f x + e\right)^{2} - 25 \, a b \tan\left(f x + e\right)^{2} - 20 \, b^{2} \tan\left(f x + e\right)^{2} + 3 \, a^{2} + 6 \, a b + 3 \, b^{2}\right)}}{{\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} \tan\left(f x + e\right)^{5}}}{120 \, f}"," ",0,"1/120*(15*(99*a^2*b^4 + 44*a*b^5 + 8*b^6)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b + b^2)))/((a^8 + 5*a^7*b + 10*a^6*b^2 + 10*a^5*b^3 + 5*a^4*b^4 + a^3*b^5)*sqrt(a*b + b^2)) + 15*(19*a*b^5*tan(f*x + e)^3 + 4*b^6*tan(f*x + e)^3 + 21*a^2*b^4*tan(f*x + e) + 25*a*b^5*tan(f*x + e) + 4*b^6*tan(f*x + e))/((a^7 + 5*a^6*b + 10*a^5*b^2 + 10*a^4*b^3 + 5*a^3*b^4 + a^2*b^5)*(b*tan(f*x + e)^2 + a + b)^2) - 120*(f*x + e)/a^3 - 8*(15*a^2*tan(f*x + e)^4 + 75*a*b*tan(f*x + e)^4 + 150*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 25*a*b*tan(f*x + e)^2 - 20*b^2*tan(f*x + e)^2 + 3*a^2 + 6*a*b + 3*b^2)/((a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)*tan(f*x + e)^5))/f","A",0
376,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)64*(1/240*(-15*a*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^9-165*a*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^8-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^7*(540*a^2-320*b^2-100*a*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^6*(660*a^2+640*b^2-1660*a*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*(-30*a^3+832*b^3+1250*a*b^2-2460*a^2*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(135*a^5-2880*b^5+3335*a*b^4+380*a^2*b^3-1430*a^3*b^2+700*a^4*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*(-810*a^3-2560*b^3+3910*a*b^2-900*a^2*b)-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(-660*a^4+320*b^4-3220*a*b^3+3140*a^2*b^2+900*a^3*b)-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-60*a^4+3200*b^4-3180*a*b^3-980*a^2*b^2+1500*a^3*b)-sqrt(a+b)*(45*a^5+768*b^5-1539*a*b^4+1028*a^2*b^3-450*a^3*b^2+100*a^4*b))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^5+1/32*a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))*sign(cos(f*x+exp(1)))/f","F(-2)",0
377,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)16*(1/12*(3*a*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-9*a^3-48*b^3+15*a*b^2+6*a^2*b)+sqrt(a+b)*(9*a-12*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(6*a^2+16*b^2-18*a*b)+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-6*a^2+24*b^2-6*a*b)+sqrt(a+b)*(-3*a^3+20*b^3-19*a*b^2+6*a^2*b))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^3-1/8*a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))*sign(cos(f*x+exp(1)))/f","F(-2)",0
378,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)8*(1/2*(b*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-b*sqrt(a+b))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)+1/4*a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))*sign(cos(f*x+exp(1)))/f","F(-2)",0
379,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(-1/4*sqrt(a+b)*ln(abs(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))+1/4*sqrt(a+b)*ln(abs(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))-a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a)+sqrt(a+b)*(a+b)*ln(abs(-(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-sqrt(a+b)*(a-b)))/(-4*a-4*b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
380,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(1/16*sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)+2*(-1/16*(-(a-b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-sqrt(a+b)*(a+b))/((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a-b)+1/2*a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a)-1/8*(2*a+b)*atan((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a-b))/sqrt(-a-b)+sqrt(a+b)*(-2*a-b)*ln(abs((a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+sqrt(a+b)*(a-b)))/(-16*a-16*b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
381,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(2*(-(8192*a+8192*b)*tan(1/2*(f*x+exp(1)))^2/(-2097152*a-2097152*b)-(-90112*a-73728*b)/(-2097152*a-2097152*b))*sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)+2*(((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-4*a^3+6*b^3+6*a*b^2-4*a^2*b)+(6*a^2-4*b^2)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(7*a^2+3*b^2+10*a*b)+sqrt(a+b)*(-5*a^3-5*b^3-15*a*b^2-15*a^2*b))/((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a-b)^2/(-64*a-64*b)-1/2*a*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a)+(8*a^2+3*b^2+12*a*b)*ln(abs((a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+sqrt(a+b)*(a-b)))/sqrt(a+b)/(-64*a-64*b)+1/2*(-8*a^2-3*b^2-12*a*b)*atan((-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a-b))/sqrt(-a-b)/(-16*a-16*b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
382,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e)^6,x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*tan(f*x + e)^6, x)","F",0
383,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e)^4,x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*tan(f*x + e)^4, x)","F",0
384,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2)*tan(f*x+e)^2,x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*tan(f*x + e)^2, x)","F",0
385,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a), x)","F",0
386,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cot(f*x + e)^2, x)","F",0
387,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cot(f*x + e)^4, x)","F",0
388,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)^2 + a)*cot(f*x + e)^6, x)","F",0
389,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*(1/105*(-105*a^2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^13*sign(cos(f*x+exp(1)))-sqrt(a+b)*(315*a^8+4992*b^8+53952*a*b^7-133053*a^2*b^6+133050*a^3*b^5-81403*a^4*b^4+28364*a^5*b^3-4515*a^6*b^2+1050*a^7*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(630*a^7-36288*b^7-300608*a*b^6-492786*a^2*b^5+732270*a^3*b^4-112084*a^4*b^3-185220*a^5*b^2+99750*a^6*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*(-51345*a^6+20608*b^6+387072*a*b^5+93471*a^2*b^4-690004*a^3*b^3+332010*a^4*b^2+65100*a^5*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^7*(-6300*a^5+20096*b^5-183680*a*b^4+19796*a^2*b^3+320460*a^3*b^2-202020*a^4*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^9*(45675*a^4-9408*b^4+63616*a*b^3-15645*a^2*b^2-82530*a^3*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^11*(9030*a^3-2240*b^3-6720*a*b^2+1470*a^2*b)*sign(cos(f*x+exp(1)))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(2205*a^8-25536*b^8-303744*a*b^7+407925*a^2*b^6-74186*a^3*b^5-150493*a^4*b^4+129556*a^5*b^3-41685*a^6*b^2+10710*a^7*b)*sign(cos(f*x+exp(1)))-1575*a^2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^12*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(5250*a^7+48384*b^7+547008*a*b^6-602742*a^2*b^5+7658*a^3*b^4+269444*a^4*b^3-159180*a^5*b^2+40530*a^6*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*(-22575*a^6-1792*b^6-336000*a*b^5+952161*a^2*b^4-553196*a^3*b^3-69930*a^4*b^2+143220*a^5*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^6*(-49140*a^5-21504*b^5+90496*a*b^4-565796*a^2*b^3+494340*a^3*b^2-65100*a^4*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^8*(37485*a^4-6272*b^4-21056*a*b^3+202965*a^2*b^2-198030*a^3*b)*sign(cos(f*x+exp(1)))-sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^10*(27090*a^3+8960*b^3-6720*a*b^2-29190*a^2*b)*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^7+1/2*a^2*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))/f","F(-2)",0
390,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*(1/15*(15*a^2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^9*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-15*a^6+132*b^6+984*a*b^5-1543*a^2*b^4+980*a^3*b^3-390*a^4*b^2+60*a^5*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(-420*a^5-160*b^5-80*a*b^4-4500*a^2*b^3+1380*a^3*b^2+420*a^4*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*(210*a^4-32*b^4+720*a*b^3+2130*a^2*b^2-1260*a^3*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^7*(300*a^3+160*b^3-240*a*b^2-420*a^2*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(-105*a^6-480*b^6-4240*a*b^5+2455*a^2*b^4+860*a^3*b^3-1110*a^4*b^2+300*a^5*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-300*a^5+560*b^5+4880*a*b^4-1740*a^2*b^3-1140*a^3*b^2+780*a^4*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*(-210*a^4-40*b^4-3360*a*b^3+3030*a^2*b^2-420*a^3*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^6*(420*a^3-80*b^3+1200*a*b^2-1260*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^8*(105*a^2-60*b^2-120*a*b)*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^5-1/2*a^2*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))/f","F(-2)",0
391,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)4*(1/3*(sqrt(a+b)*(-7*b^4-28*a*b^3+21*a^2*b^2-6*a^3*b)*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^3*(-2*b^3-30*a*b^2+12*a^2*b)*sign(cos(f*x+exp(1)))+(3*b^2+6*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^5*sign(cos(f*x+exp(1)))+(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*(15*b^4+84*a*b^3+3*a^2*b^2-18*a^3*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2*(-6*b^3-42*a*b^2-12*a^2*b)*sign(cos(f*x+exp(1)))+sqrt(a+b)*(-3*b^2+18*a*b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^4*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)^3+1/2*a^2*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a))/f","F(-2)",0
392,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)4*((-b^2*sqrt(a+b)*sign(cos(f*x+exp(1)))+b^2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))*sign(cos(f*x+exp(1))))/(-2*sqrt(a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))-(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))^2-a+3*b)-1/2*a^2*sign(cos(f*x+exp(1)))*atan(1/2*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2-sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))/sqrt(-a))/sqrt(-a)-1/8*sqrt(a+b)*(-a-b)*sign(cos(f*x+exp(1)))*ln(abs(sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)-sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))+1/8*sqrt(a+b)*(-a-b)*sign(cos(f*x+exp(1)))*ln(abs(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a+b)+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b)))+sqrt(a+b)*(-a^2-b^2-2*a*b)*sign(cos(f*x+exp(1)))*ln(abs((a+b)*(-sqrt(a+b)*tan(1/2*(f*x+exp(1)))^2+sqrt(a*tan(1/2*(f*x+exp(1)))^4+b*tan(1/2*(f*x+exp(1)))^4-2*a*tan(1/2*(f*x+exp(1)))^2+2*b*tan(1/2*(f*x+exp(1)))^2+a+b))+sqrt(a+b)*(a-b)))/(8*a+8*b))/f","F(-2)",0
393,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*x+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 2.67Error: Bad Argument Type","F(-2)",0
394,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*x+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 4.86Error: Bad Argument Type","F(-2)",0
395,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e)^6,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^6, x)","F",0
396,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e)^4,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^4, x)","F",0
397,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2)*tan(f*x+e)^2,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^2, x)","F",0
398,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
399,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^2, x)","F",0
400,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^4, x)","F",0
401,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^6, x)","F",0
402,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*32*(1/48*(-3*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^5-21*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^4-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))*(-9*a^2+111*b^2+54*a*b)-(6*a-34*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^3-sqrt(a+b)*(-30*a-54*b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-sqrt(a+b)*(9*a^2-47*b^2+10*a*b))/(-2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a+3*b)^3/sign(tan((f*x+exp(1))/2)^2-1)+1/32*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
403,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*8*(1/4*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/(-2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a+3*b)/sign(tan((f*x+exp(1))/2)^2-1)-1/8*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
404,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
405,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 0.64Error: Bad Argument Type","F(-2)",0
406,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 1.45Error: Bad Argument Type","F(-2)",0
407,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 2.06Error: Bad Argument Type","F(-2)",0
408,0,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
409,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
410,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
411,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
412,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
413,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
414,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/sqrt(b*sec(f*x + e)^2 + a), x)","F",0
415,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*16*(2*(-1/4096*(-64*a^2*b^3*sign(tan((f*x+exp(1))/2)^2-1)-128*a^3*b^2*sign(tan((f*x+exp(1))/2)^2-1)-64*a^4*b*sign(tan((f*x+exp(1))/2)^2-1))/a^3/b^3-1/4096*tan((f*x+exp(1))/2)^2*(64*a^2*b^3*sign(tan((f*x+exp(1))/2)^2-1)+128*a^3*b^2*sign(tan((f*x+exp(1))/2)^2-1)+64*a^4*b*sign(tan((f*x+exp(1))/2)^2-1))/a^3/b^3)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+2*(1/16*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/b/(-2*sqrt(a+b)*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))-(-tan((f*x+exp(1))/2)^2*sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))^2-a+3*b)/sign(tan((f*x+exp(1))/2)^2-1)+1/32*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
416,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*4*(2*(-1/256*(16*a^3*sign(tan((f*x+exp(1))/2)^2-1)+16*a^2*b*sign(tan((f*x+exp(1))/2)^2-1))/a^3/b-1/256*tan((f*x+exp(1))/2)^2*(-16*a^3*sign(tan((f*x+exp(1))/2)^2-1)-16*a^2*b*sign(tan((f*x+exp(1))/2)^2-1))/a^3/b)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)-1/4*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
417,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(2*(1/8*b*tan((f*x+exp(1))/2)^2/a/sign(tan((f*x+exp(1))/2)^2-1)/b-1/8/a/sign(tan((f*x+exp(1))/2)^2-1))/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)-1/2*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
418,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 1.12Error: Bad Argument Type","F(-2)",0
419,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 2.21Error: Bad Argument Type","F(-2)",0
420,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 3.21Error: Bad Argument Type","F(-2)",0
421,0,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
422,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
423,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
424,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-3/2), x)","F",0
425,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
426,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
427,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(3/2), x)","F",0
428,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)-2/f*16*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-1/150994944*tan((f*x+exp(1))/2)^2*(-1572864*a^11*sign(tan((f*x+exp(1))/2)^2-1)+2359296*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+3145728*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)-786432*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2-1/150994944*(4718592*a^11*sign(tan((f*x+exp(1))/2)^2-1)+2359296*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-9437184*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)-7077888*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/150994944*(-4718592*a^11*sign(tan((f*x+exp(1))/2)^2-1)-2359296*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+9437184*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)+7077888*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/150994944*(1572864*a^11*sign(tan((f*x+exp(1))/2)^2-1)-2359296*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-3145728*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)+786432*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+1/16*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
429,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-1/2304*tan((f*x+exp(1))/2)^2*(576*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+768*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)+192*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2-1/2304*(576*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-2304*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)-576*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/2304*(-576*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+2304*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)+576*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/2304*(-576*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-768*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1)-192*a^10*b*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)+atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
430,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-1/36864*tan((f*x+exp(1))/2)^2*(-4608*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-6144*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2-1/36864*(-4608*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+18432*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/36864*(4608*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)-18432*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)-1/36864*(4608*a^8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+6144*a^9*b^2*sign(tan((f*x+exp(1))/2)^2-1))/a^10/b^2)/sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)/(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b)-1/2*atan(1/2*(-tan((f*x+exp(1))/2)^2*sqrt(a+b)-sqrt(a+b)+sqrt(a*tan((f*x+exp(1))/2)^4+b*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+2*b*tan((f*x+exp(1))/2)^2+a+b))/sqrt(-a))/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
431,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 1.93Error: Bad Argument Type","F(-2)",0
432,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 4.45Error: Bad Argument Type","F(-2)",0
433,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos(f*t_nostep+exp(1)))]Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Discontinuities at zeroes of cos(f*t_nostep+exp(1)) were not checkedUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Evaluation time: 6.57Error: Bad Argument Type","F(-2)",0
434,0,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
435,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
436,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
437,0,0,0,0.000000," ","integrate(1/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^(-5/2), x)","F",0
438,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
439,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
440,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*sec(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{{\left(b \sec\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/(b*sec(f*x + e)^2 + a)^(5/2), x)","F",0
441,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*(d*tan(f*x+e))^m,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*(d*tan(f*x + e))^m, x)","F",0
442,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*tan(f*x+e)^5,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*tan(f*x + e)^5, x)","F",0
443,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*tan(f*x+e)^3,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*tan(f*x + e)^3, x)","F",0
444,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*tan(f*x+e),x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*tan(f*x + e), x)","F",0
445,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cot(f*x + e), x)","F",0
446,0,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cot(f*x + e)^3, x)","F",0
447,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*tan(f*x+e)^4,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*tan(f*x + e)^4, x)","F",0
448,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p*tan(f*x+e)^2,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*tan(f*x + e)^2, x)","F",0
449,0,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p, x)","F",0
450,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cot(f*x + e)^2, x)","F",0
451,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*sec(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \sec\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e)^2 + a)^p*cot(f*x + e)^4, x)","F",0
452,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^3)*tan(f*x+e)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1))+(1089*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^7*a-8463*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a+28749*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a-4480*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b-51555*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a-2240*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b+51555*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a-1344*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-28749*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+448*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+8463*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-64*b-1089*a)*1/840/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^7)","F(-2)",0
453,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^3)*tan(f*x+e)^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(-a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1))+(-137*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a+805*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a-240*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b-1730*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a-80*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+1730*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-80*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-805*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+16*b+137*a)*1/120/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^5)","F(-2)",0
454,-2,0,0,0.000000," ","integrate((a+b*sec(f*x+e)^3)*tan(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1))+(11*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a-33*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+33*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-11*a-4*b)*1/12/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^3)","F(-2)",0
455,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*((a+b)/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-b/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1))","F(-2)",0
456,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a)/16+(-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-b-a)*1/16/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+a/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(b-2*a)/8*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
457,0,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{5}}{b \sec\left(f x + e\right)^{3} + a}\,{d x}"," ",0,"integrate(tan(f*x + e)^5/(b*sec(f*x + e)^3 + a), x)","F",0
458,0,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{3}}{b \sec\left(f x + e\right)^{3} + a}\,{d x}"," ",0,"integrate(tan(f*x + e)^3/(b*sec(f*x + e)^3 + a), x)","F",0
459,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2/f*(1/2/a*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/6/a*ln(abs(((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*b-((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+3*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-3*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+b+a)))","F(-2)",0
460,0,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)}{b \sec\left(f x + e\right)^{3} + a}\,{d x}"," ",0,"integrate(cot(f*x + e)/(b*sec(f*x + e)^3 + a), x)","F",0
461,0,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*sec(f*x+e)^3),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{3}}{b \sec\left(f x + e\right)^{3} + a}\,{d x}"," ",0,"integrate(cot(f*x + e)^3/(b*sec(f*x + e)^3 + a), x)","F",0
462,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p*(d*tan(f*x+e))^m,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*(d*tan(f*x + e))^m, x)","F",0
463,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p*tan(f*x+e)^5,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \tan\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*tan(f*x + e)^5, x)","F",0
464,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p*tan(f*x+e)^3,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*tan(f*x + e)^3, x)","F",0
465,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p*tan(f*x+e),x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*tan(f*x + e), x)","F",0
466,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*(c*sec(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \cot\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*cot(f*x + e), x)","F",0
467,0,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*(c*sec(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \cot\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*cot(f*x + e)^3, x)","F",0
468,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p*tan(f*x+e)^2,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*tan(f*x + e)^2, x)","F",0
469,0,0,0,0.000000," ","integrate((a+b*(c*sec(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p, x)","F",0
470,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*(c*sec(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \sec\left(f x + e\right)\right)^{n} b + a\right)}^{p} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*sec(f*x + e))^n*b + a)^p*cot(f*x + e)^2, x)","F",0
