1,-2,0,0,0.000000," ","integrate((b*tan(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: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)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)*(-3*b^2*sign(tan(f*x+exp(1)))-2*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^2+b^2*sign(tan(f*x+exp(1)))*tan(f*x)^4-2*b^2*sign(tan(f*x+exp(1)))*tan(exp(1))^2+b^2*sign(tan(f*x+exp(1)))*tan(exp(1))^4-2*b^2*sign(tan(f*x+exp(1)))*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))-4*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^2*tan(exp(1))^2-2*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^2*tan(exp(1))^4+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^3*tan(exp(1))^3+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^3*tan(exp(1))-2*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^4*tan(exp(1))^2-3*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^4*tan(exp(1))^4+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)*tan(exp(1))^3+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)*tan(exp(1))-12*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^2*tan(exp(1))^2*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^3*tan(exp(1))^3*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))-2*b^2*sign(tan(f*x+exp(1)))*tan(f*x)^4*tan(exp(1))^4*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))+8*b^2*sign(tan(f*x+exp(1)))*tan(f*x)*tan(exp(1))*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1)))/(4*f*tan(f*x)^4*tan(exp(1))^4-16*f*tan(f*x)^3*tan(exp(1))^3+24*f*tan(f*x)^2*tan(exp(1))^2-16*f*tan(f*x)*tan(exp(1))+4*f)","F(-2)",0
2,-2,0,0,0.000000," ","integrate((b*tan(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)sqrt(b)*b*(tan(f*x)^2*tan(exp(1))^2+tan(f*x)^2+tan(exp(1))^2+tan(f*x)^2*tan(exp(1))^2*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))-2*tan(f*x)*tan(exp(1))*ln((4*tan(f*x)^2*tan(exp(1))^2-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))+ln((-8*tan(f*x)^3*tan(exp(1))+4*tan(f*x)^4*tan(exp(1))^2+4*tan(f*x)^2*tan(exp(1))^2+4*tan(f*x)^2-8*tan(f*x)*tan(exp(1))+4)/(tan(exp(1))^2+1))+1)*sign(tan(f*x+exp(1)))/(2*f*tan(f*x)^2*tan(exp(1))^2-4*f*tan(f*x)*tan(exp(1))+2*f)","F(-2)",0
3,-2,0,0,0.000000," ","integrate((b*tan(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)*sign(tan(f*x+exp(1)))*ln(abs(cos(f*x+exp(1))))/f","F(-2)",0
4,-2,0,0,0.000000," ","integrate(1/(b*tan(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)2*(1/4*sqrt(b)*ln(abs(-cos(f*x+exp(1))+1)/abs(cos(f*x+exp(1))+1))/b/sign(tan(f*x+exp(1)))-1/2*sqrt(b)*ln(abs((-cos(f*x+exp(1))+1)/(cos(f*x+exp(1))+1)+1))/b/sign(tan(f*x+exp(1))))/f","F(-2)",0
5,-2,0,0,0.000000," ","integrate(1/(b*tan(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)2/b/f/sqrt(b)/2*(1/8*(4*tan((f*x+exp(1))/2)^2*sign(-tan((f*x+exp(1))/2)^2+1)-sign(-tan((f*x+exp(1))/2)^2+1))/tan((f*x+exp(1))/2)^2/sign(tan((f*x+exp(1))/2))-1/8*tan((f*x+exp(1))/2)^2*sign(-tan((f*x+exp(1))/2)^2+1)/sign(tan((f*x+exp(1))/2))-1/2*sign(-tan((f*x+exp(1))/2)^2+1)*ln(tan((f*x+exp(1))/2)^2)/sign(tan((f*x+exp(1))/2))+sign(-tan((f*x+exp(1))/2)^2+1)*ln(tan((f*x+exp(1))/2)^2+1)/sign(tan((f*x+exp(1))/2)))","F(-2)",0
6,-2,0,0,0.000000," ","integrate(1/(b*tan(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/sqrt(b)/b^2/2*(1/1024*(192*tan((f*x+exp(1))/2)^2*sign(tan((f*x+exp(1))/2))*sign(-tan((f*x+exp(1))/2)^2+1)-16*tan((f*x+exp(1))/2)^4*sign(tan((f*x+exp(1))/2))*sign(-tan((f*x+exp(1))/2)^2+1))+1/64*(12*tan((f*x+exp(1))/2)^2*sign(-tan((f*x+exp(1))/2)^2+1)-48*tan((f*x+exp(1))/2)^4*sign(-tan((f*x+exp(1))/2)^2+1)-sign(-tan((f*x+exp(1))/2)^2+1))/tan((f*x+exp(1))/2)^4/sign(tan((f*x+exp(1))/2))+1/2*sign(-tan((f*x+exp(1))/2)^2+1)*ln(tan((f*x+exp(1))/2)^2)/sign(tan((f*x+exp(1))/2))-sign(-tan((f*x+exp(1))/2)^2+1)*ln(tan((f*x+exp(1))/2)^2+1)/sign(tan((f*x+exp(1))/2)))","F(-2)",0
7,-2,0,0,0.000000," ","integrate((b*tan(f*x+e)^3)^(5/2),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*b*((1/13*b^60*f^12*sqrt(b*tan(f*x+exp(1)))*(b*tan(f*x+exp(1)))^6-1/9*b^62*f^12*sqrt(b*tan(f*x+exp(1)))*(b*tan(f*x+exp(1)))^4+1/5*b^64*f^12*sqrt(b*tan(f*x+exp(1)))*(b*tan(f*x+exp(1)))^2-b^66*f^12*sqrt(b*tan(f*x+exp(1))))/b^65/f^13+1/2*b*sqrt(abs(b))*atan(sqrt(2)*(1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/f+1/2*b*sqrt(abs(b))*atan(sqrt(2)*(-1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/f+1/4*b*sqrt(abs(b))*ln(b*tan(f*x+exp(1))+sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/f-1/4*b*sqrt(abs(b))*ln(b*tan(f*x+exp(1))-sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/f)*sign(tan(f*x+exp(1)))","F(-2)",0
8,-2,0,0,0.000000," ","integrate((b*tan(f*x+e)^3)^(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)b*2*((1/7*b^18*f^6*sqrt(b*tan(f*x+exp(1)))*(b*tan(f*x+exp(1)))^3-1/3*b^21*f^6*sqrt(b*tan(f*x+exp(1)))*tan(f*x+exp(1)))/b^21/f^7+1/2*sqrt(abs(b))*abs(b)*atan(sqrt(2)*(1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/b/f+1/2*sqrt(abs(b))*abs(b)*atan(sqrt(2)*(-1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/b/f-1/4*sqrt(abs(b))*abs(b)*ln(b*tan(f*x+exp(1))+sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/b/f+1/4*sqrt(abs(b))*abs(b)*ln(b*tan(f*x+exp(1))-sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/b/f)*sign(tan(f*x+exp(1)))","F(-2)",0
9,-2,0,0,0.000000," ","integrate((b*tan(f*x+e)^3)^(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)2*b*(sqrt(b*tan(f*x+exp(1)))/f-1/2*sqrt(abs(b))*atan(sqrt(2)*(1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/f-1/2*sqrt(abs(b))*atan(sqrt(2)*(-1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/f-1/4*sqrt(abs(b))*ln(b*tan(f*x+exp(1))+sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/f+1/4*sqrt(abs(b))*ln(b*tan(f*x+exp(1))-sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/f)*sign(tan(f*x+exp(1)))/b","F(-2)",0
10,-2,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^3)^(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)2*b^2*(-1/2*sqrt(abs(b))*abs(b)*atan(sqrt(2)*(1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/b^4/f/sign(tan(f*x+exp(1)))-1/2*sqrt(abs(b))*abs(b)*atan(sqrt(2)*(-1/2*sqrt(2)*sqrt(abs(b))+sqrt(b*tan(f*x+exp(1))))/sqrt(abs(b)))/sqrt(2)/b^4/f/sign(tan(f*x+exp(1)))+1/4*sqrt(abs(b))*abs(b)*ln(b*tan(f*x+exp(1))+sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/b^4/f/sign(tan(f*x+exp(1)))-1/4*sqrt(abs(b))*abs(b)*ln(b*tan(f*x+exp(1))-sqrt(2)*sqrt(b*tan(f*x+exp(1)))*sqrt(abs(b))+abs(b))/sqrt(2)/b^4/f/sign(tan(f*x+exp(1)))-1/b^2/sqrt(b*tan(f*x+exp(1)))/f/sign(tan(f*x+exp(1))))","F(-2)",0
11,0,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^3)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \tan\left(f x + e\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^3)^(-3/2), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^3)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \tan\left(f x + e\right)^{3}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^3)^(-5/2), x)","F",0
13,-1,0,0,0.000000," ","integrate((b*tan(f*x+e)^4)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-2,0,0,0.000000," ","integrate((b*tan(f*x+e)^4)^(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: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)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)*b*(-60*f*x*tan(exp(1))^5*tan(f*x)^5+300*f*x*tan(exp(1))^4*tan(f*x)^4-600*f*x*tan(exp(1))^3*tan(f*x)^3+600*f*x*tan(exp(1))^2*tan(f*x)^2-300*f*x*tan(exp(1))*tan(f*x)+60*f*x-15*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))^5*tan(f*x)^5+75*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))^4*tan(f*x)^4-150*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))^3*tan(f*x)^3+150*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))^2*tan(f*x)^2-75*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))*tan(f*x)+15*pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))-15*pi*tan(exp(1))^5*tan(f*x)^5+75*pi*tan(exp(1))^4*tan(f*x)^4-150*pi*tan(exp(1))^3*tan(f*x)^3+150*pi*tan(exp(1))^2*tan(f*x)^2-75*pi*tan(exp(1))*tan(f*x)+15*pi+30*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))^5*tan(f*x)^5-150*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))^4*tan(f*x)^4+300*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))^3*tan(f*x)^3-300*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))^2*tan(f*x)^2+150*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))*tan(f*x)-30*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))+30*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^5-150*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^4+300*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^3-300*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^2+150*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-30*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-60*tan(exp(1))^5*tan(f*x)^4+20*tan(exp(1))^5*tan(f*x)^2-12*tan(exp(1))^5-60*tan(exp(1))^4*tan(f*x)^5+300*tan(exp(1))^4*tan(f*x)^3-100*tan(exp(1))^4*tan(f*x)+300*tan(exp(1))^3*tan(f*x)^4-600*tan(exp(1))^3*tan(f*x)^2+20*tan(exp(1))^3+20*tan(exp(1))^2*tan(f*x)^5-600*tan(exp(1))^2*tan(f*x)^3+300*tan(exp(1))^2*tan(f*x)-100*tan(exp(1))*tan(f*x)^4+300*tan(exp(1))*tan(f*x)^2-60*tan(exp(1))-12*tan(f*x)^5+20*tan(f*x)^3-60*tan(f*x))/(60*f*tan(exp(1))^5*tan(f*x)^5-300*f*tan(exp(1))^4*tan(f*x)^4+600*f*tan(exp(1))^3*tan(f*x)^3-600*f*tan(exp(1))^2*tan(f*x)^2+300*f*tan(exp(1))*tan(f*x)-60*f)","F(-2)",0
15,-2,0,0,0.000000," ","integrate((b*tan(f*x+e)^4)^(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)sqrt(b)*(-4*f*x*tan(exp(1))*tan(f*x)+4*f*x-pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))*tan(f*x)+pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))-pi*tan(exp(1))*tan(f*x)+pi+2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))+2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-4*tan(exp(1))-4*tan(f*x))/(4*f*tan(exp(1))*tan(f*x)-4*f)","F(-2)",0
16,1,48,0,0.567790," ","integrate(1/(b*tan(f*x+e)^4)^(1/2),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(f x + e\right)}}{\sqrt{b}} - \frac{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}{\sqrt{b}} + \frac{1}{\sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}}{2 \, f}"," ",0,"-1/2*(2*(f*x + e)/sqrt(b) - tan(1/2*f*x + 1/2*e)/sqrt(b) + 1/(sqrt(b)*tan(1/2*f*x + 1/2*e)))/f","A",0
17,1,131,0,2.252992," ","integrate(1/(b*tan(f*x+e)^4)^(3/2),x, algorithm=""giac"")","-\frac{\frac{480 \, {\left(f x + e\right)}}{\sqrt{b}} - \frac{3 \, b^{\frac{9}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 35 \, b^{\frac{9}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 330 \, b^{\frac{9}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}{b^{5}} + \frac{330 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 35 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, \sqrt{b}}{b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5}}}{480 \, b f}"," ",0,"-1/480*(480*(f*x + e)/sqrt(b) - (3*b^(9/2)*tan(1/2*f*x + 1/2*e)^5 - 35*b^(9/2)*tan(1/2*f*x + 1/2*e)^3 + 330*b^(9/2)*tan(1/2*f*x + 1/2*e))/b^5 + (330*sqrt(b)*tan(1/2*f*x + 1/2*e)^4 - 35*sqrt(b)*tan(1/2*f*x + 1/2*e)^2 + 3*sqrt(b))/(b*tan(1/2*f*x + 1/2*e)^5))/(b*f)","A",0
18,1,196,0,4.875408," ","integrate(1/(b*tan(f*x+e)^4)^(5/2),x, algorithm=""giac"")","-\frac{\frac{161280 \, {\left(f x + e\right)}}{b^{\frac{5}{2}}} + \frac{121590 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 18480 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 3528 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 495 \, \sqrt{b} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 35 \, \sqrt{b}}{b^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9}} - \frac{35 \, b^{\frac{49}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 495 \, b^{\frac{49}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 3528 \, b^{\frac{49}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 18480 \, b^{\frac{49}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 121590 \, b^{\frac{49}{2}} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}{b^{27}}}{161280 \, f}"," ",0,"-1/161280*(161280*(f*x + e)/b^(5/2) + (121590*sqrt(b)*tan(1/2*f*x + 1/2*e)^8 - 18480*sqrt(b)*tan(1/2*f*x + 1/2*e)^6 + 3528*sqrt(b)*tan(1/2*f*x + 1/2*e)^4 - 495*sqrt(b)*tan(1/2*f*x + 1/2*e)^2 + 35*sqrt(b))/(b^3*tan(1/2*f*x + 1/2*e)^9) - (35*b^(49/2)*tan(1/2*f*x + 1/2*e)^9 - 495*b^(49/2)*tan(1/2*f*x + 1/2*e)^7 + 3528*b^(49/2)*tan(1/2*f*x + 1/2*e)^5 - 18480*b^(49/2)*tan(1/2*f*x + 1/2*e)^3 + 121590*b^(49/2)*tan(1/2*f*x + 1/2*e))/b^27)/f","A",0
19,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^n)^(5/2),x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{n}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^(5/2), x)","F",0
20,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^n)^(3/2),x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^(3/2), x)","F",0
21,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{n}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^n), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \tan\left(f x + e\right)^{n}}}\,{d x}"," ",0,"integrate(1/sqrt(b*tan(f*x + e)^n), x)","F",0
23,0,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \tan\left(f x + e\right)^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^(-3/2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/(b*tan(f*x+e)^n)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \tan\left(f x + e\right)^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^(-5/2), x)","F",0
25,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^n)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{n}\right)^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^p, x)","F",0
26,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p, x)","F",0
27,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^3)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{3}\right)^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^3)^p, x)","F",0
28,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^4)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{4}\right)^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^4)^p, x)","F",0
29,0,0,0,0.000000," ","integrate((b*tan(f*x+e)^n)^(1/n),x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{n}\right)^{\left(\frac{1}{n}\right)}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n)^(1/n), x)","F",0
30,-1,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,1,76,0,1.886299," ","integrate(sin(f*x+e)^3*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{b}{f \cos\left(f x + e\right)} + \frac{a f^{5} \cos\left(f x + e\right)^{3} - b f^{5} \cos\left(f x + e\right)^{3} - 3 \, a f^{5} \cos\left(f x + e\right) + 6 \, 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 - b*f^5*cos(f*x + e)^3 - 3*a*f^5*cos(f*x + e) + 6*b*f^5*cos(f*x + e))/f^6","A",0
32,1,41,0,2.309306," ","integrate(sin(f*x+e)*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","b {\left(\frac{\cos\left(f x + e\right)}{f} + \frac{1}{f \cos\left(f x + e\right)}\right)} - \frac{a \cos\left(f x + e\right)}{f}"," ",0,"b*(cos(f*x + e)/f + 1/(f*cos(f*x + e))) - a*cos(f*x + e)/f","A",0
33,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*tan(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/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
34,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*tan(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)))*a/16+(-((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))))^2*b-14*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*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))))-(-a-2*b)/8*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
35,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*tan(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)+(-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a-72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*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*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b)/4096+(3*a+12*b)/32*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
36,-2,0,0,0.000000," ","integrate(sin(f*x+e)^6*(a+b*tan(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)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)(60*a*f*x*tan(exp(1))^7*tan(f*x)^7+180*a*f*x*tan(exp(1))^7*tan(f*x)^5+180*a*f*x*tan(exp(1))^7*tan(f*x)^3+60*a*f*x*tan(exp(1))^7*tan(f*x)-60*a*f*x*tan(exp(1))^6*tan(f*x)^6-180*a*f*x*tan(exp(1))^6*tan(f*x)^4-180*a*f*x*tan(exp(1))^6*tan(f*x)^2-60*a*f*x*tan(exp(1))^6+180*a*f*x*tan(exp(1))^5*tan(f*x)^7+540*a*f*x*tan(exp(1))^5*tan(f*x)^5+540*a*f*x*tan(exp(1))^5*tan(f*x)^3+180*a*f*x*tan(exp(1))^5*tan(f*x)-180*a*f*x*tan(exp(1))^4*tan(f*x)^6-540*a*f*x*tan(exp(1))^4*tan(f*x)^4-540*a*f*x*tan(exp(1))^4*tan(f*x)^2-180*a*f*x*tan(exp(1))^4+180*a*f*x*tan(exp(1))^3*tan(f*x)^7+540*a*f*x*tan(exp(1))^3*tan(f*x)^5+540*a*f*x*tan(exp(1))^3*tan(f*x)^3+180*a*f*x*tan(exp(1))^3*tan(f*x)-180*a*f*x*tan(exp(1))^2*tan(f*x)^6-540*a*f*x*tan(exp(1))^2*tan(f*x)^4-540*a*f*x*tan(exp(1))^2*tan(f*x)^2-180*a*f*x*tan(exp(1))^2+60*a*f*x*tan(exp(1))*tan(f*x)^7+180*a*f*x*tan(exp(1))*tan(f*x)^5+180*a*f*x*tan(exp(1))*tan(f*x)^3+60*a*f*x*tan(exp(1))*tan(f*x)-60*a*f*x*tan(f*x)^6-180*a*f*x*tan(f*x)^4-180*a*f*x*tan(f*x)^2-60*a*f*x+60*a*tan(exp(1))^7*tan(f*x)^6+160*a*tan(exp(1))^7*tan(f*x)^4+132*a*tan(exp(1))^7*tan(f*x)^2+60*a*tan(exp(1))^6*tan(f*x)^7+120*a*tan(exp(1))^6*tan(f*x)^5+20*a*tan(exp(1))^6*tan(f*x)^3-264*a*tan(exp(1))^6*tan(f*x)+120*a*tan(exp(1))^5*tan(f*x)^6+300*a*tan(exp(1))^5*tan(f*x)^4-360*a*tan(exp(1))^5*tan(f*x)^2+132*a*tan(exp(1))^5+160*a*tan(exp(1))^4*tan(f*x)^7+300*a*tan(exp(1))^4*tan(f*x)^5-960*a*tan(exp(1))^4*tan(f*x)^3+20*a*tan(exp(1))^4*tan(f*x)+20*a*tan(exp(1))^3*tan(f*x)^6-960*a*tan(exp(1))^3*tan(f*x)^4+300*a*tan(exp(1))^3*tan(f*x)^2+160*a*tan(exp(1))^3+132*a*tan(exp(1))^2*tan(f*x)^7-360*a*tan(exp(1))^2*tan(f*x)^5+300*a*tan(exp(1))^2*tan(f*x)^3+120*a*tan(exp(1))^2*tan(f*x)-264*a*tan(exp(1))*tan(f*x)^6+20*a*tan(exp(1))*tan(f*x)^4+120*a*tan(exp(1))*tan(f*x)^2+60*a*tan(exp(1))+132*a*tan(f*x)^5+160*a*tan(f*x)^3+60*a*tan(f*x)-420*b*f*x*tan(exp(1))^7*tan(f*x)^7-1260*b*f*x*tan(exp(1))^7*tan(f*x)^5-1260*b*f*x*tan(exp(1))^7*tan(f*x)^3-420*b*f*x*tan(exp(1))^7*tan(f*x)+420*b*f*x*tan(exp(1))^6*tan(f*x)^6+1260*b*f*x*tan(exp(1))^6*tan(f*x)^4+1260*b*f*x*tan(exp(1))^6*tan(f*x)^2+420*b*f*x*tan(exp(1))^6-1260*b*f*x*tan(exp(1))^5*tan(f*x)^7-3780*b*f*x*tan(exp(1))^5*tan(f*x)^5-3780*b*f*x*tan(exp(1))^5*tan(f*x)^3-1260*b*f*x*tan(exp(1))^5*tan(f*x)+1260*b*f*x*tan(exp(1))^4*tan(f*x)^6+3780*b*f*x*tan(exp(1))^4*tan(f*x)^4+3780*b*f*x*tan(exp(1))^4*tan(f*x)^2+1260*b*f*x*tan(exp(1))^4-1260*b*f*x*tan(exp(1))^3*tan(f*x)^7-3780*b*f*x*tan(exp(1))^3*tan(f*x)^5-3780*b*f*x*tan(exp(1))^3*tan(f*x)^3-1260*b*f*x*tan(exp(1))^3*tan(f*x)+1260*b*f*x*tan(exp(1))^2*tan(f*x)^6+3780*b*f*x*tan(exp(1))^2*tan(f*x)^4+3780*b*f*x*tan(exp(1))^2*tan(f*x)^2+1260*b*f*x*tan(exp(1))^2-420*b*f*x*tan(exp(1))*tan(f*x)^7-1260*b*f*x*tan(exp(1))*tan(f*x)^5-1260*b*f*x*tan(exp(1))*tan(f*x)^3-420*b*f*x*tan(exp(1))*tan(f*x)+420*b*f*x*tan(f*x)^6+1260*b*f*x*tan(f*x)^4+1260*b*f*x*tan(f*x)^2+420*b*f*x+21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^7*tan(f*x)^7+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^7*tan(f*x)^5+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^7*tan(f*x)^3+21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^7*tan(f*x)-21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^6*tan(f*x)^6-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^6*tan(f*x)^4-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^6*tan(f*x)^2-21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^6+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)^7+189*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)^5+189*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)^3+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^4*tan(f*x)^6-189*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^4*tan(f*x)^4-189*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp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tan(exp(1))^2*tan(f*x)^4-189*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^2*tan(f*x)^2-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^2+21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)^7+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)^5+63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)^3+21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)-21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(f*x)^6-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(f*x)^4-63*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(f*x)^2-21*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))+42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^7*tan(f*x)^7+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^7*tan(f*x)^5+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^7*tan(f*x)^3+42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^7*tan(f*x)-42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^6*tan(f*x)^6-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^6*tan(f*x)^4-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^6*tan(f*x)^2-42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^6+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^7+378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^5+378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^3+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^6-378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^4-378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^2-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^7+378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^5+378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^3+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^6-378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^4-378*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^2-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2+42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)^7+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)^5+126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)^3+42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(f*x)^6-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(f*x)^4-126*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(f*x)^2-42*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^7*tan(f*x)^7-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^7*tan(f*x)^5-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^7*tan(f*x)^3-42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^7*tan(f*x)+42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^6*tan(f*x)^6+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^6*tan(f*x)^4+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^6*tan(f*x)^2+42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^6-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)^7-378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)^5-378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)^3-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4*tan(f*x)^6+378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4*tan(f*x)^4+378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4*tan(f*x)^2+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)^7-378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)^5-378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)^3-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2*tan(f*x)^6+378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2*tan(f*x)^4+378*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2*tan(f*x)^2+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2-42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)^7-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)^5-126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)^3-42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)+42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(f*x)^6+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(f*x)^4+126*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(f*x)^2+42*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))-420*b*tan(exp(1))^7*tan(f*x)^6-1120*b*tan(exp(1))^7*tan(f*x)^4-924*b*tan(exp(1))^7*tan(f*x)^2-192*b*tan(exp(1))^7-420*b*tan(exp(1))^6*tan(f*x)^7-840*b*tan(exp(1))^6*tan(f*x)^5-140*b*tan(exp(1))^6*tan(f*x)^3+504*b*tan(exp(1))^6*tan(f*x)-840*b*tan(exp(1))^5*tan(f*x)^6-2100*b*tan(exp(1))^5*tan(f*x)^4-1512*b*tan(exp(1))^5*tan(f*x)^2-924*b*tan(exp(1))^5-1120*b*tan(exp(1))^4*tan(f*x)^7-2100*b*tan(exp(1))^4*tan(f*x)^5-140*b*tan(exp(1))^4*tan(f*x)-140*b*tan(exp(1))^3*tan(f*x)^6-2100*b*tan(exp(1))^3*tan(f*x)^2-1120*b*tan(exp(1))^3-924*b*tan(exp(1))^2*tan(f*x)^7-1512*b*tan(exp(1))^2*tan(f*x)^5-2100*b*tan(exp(1))^2*tan(f*x)^3-840*b*tan(exp(1))^2*tan(f*x)+504*b*tan(exp(1))*tan(f*x)^6-140*b*tan(exp(1))*tan(f*x)^4-840*b*tan(exp(1))*tan(f*x)^2-420*b*tan(exp(1))-192*b*tan(f*x)^7-924*b*tan(f*x)^5-1120*b*tan(f*x)^3-420*b*tan(f*x))/(192*f*tan(exp(1))^7*tan(f*x)^7+576*f*tan(exp(1))^7*tan(f*x)^5+576*f*tan(exp(1))^7*tan(f*x)^3+192*f*tan(exp(1))^7*tan(f*x)-192*f*tan(exp(1))^6*tan(f*x)^6-576*f*tan(exp(1))^6*tan(f*x)^4-576*f*tan(exp(1))^6*tan(f*x)^2-192*f*tan(exp(1))^6+576*f*tan(exp(1))^5*tan(f*x)^7+1728*f*tan(exp(1))^5*tan(f*x)^5+1728*f*tan(exp(1))^5*tan(f*x)^3+576*f*tan(exp(1))^5*tan(f*x)-576*f*tan(exp(1))^4*tan(f*x)^6-1728*f*tan(exp(1))^4*tan(f*x)^4-1728*f*tan(exp(1))^4*tan(f*x)^2-576*f*tan(exp(1))^4+576*f*tan(exp(1))^3*tan(f*x)^7+1728*f*tan(exp(1))^3*tan(f*x)^5+1728*f*tan(exp(1))^3*tan(f*x)^3+576*f*tan(exp(1))^3*tan(f*x)-576*f*tan(exp(1))^2*tan(f*x)^6-1728*f*tan(exp(1))^2*tan(f*x)^4-1728*f*tan(exp(1))^2*tan(f*x)^2-576*f*tan(exp(1))^2+192*f*tan(exp(1))*tan(f*x)^7+576*f*tan(exp(1))*tan(f*x)^5+576*f*tan(exp(1))*tan(f*x)^3+192*f*tan(exp(1))*tan(f*x)-192*f*tan(f*x)^6-576*f*tan(f*x)^4-576*f*tan(f*x)^2-192*f)","F(-2)",0
37,-2,0,0,0.000000," ","integrate(sin(f*x+e)^4*(a+b*tan(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)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)(24*a*f*x*tan(exp(1))^5*tan(f*x)^5+48*a*f*x*tan(exp(1))^5*tan(f*x)^3+24*a*f*x*tan(exp(1))^5*tan(f*x)-24*a*f*x*tan(exp(1))^4*tan(f*x)^4-48*a*f*x*tan(exp(1))^4*tan(f*x)^2-24*a*f*x*tan(exp(1))^4+48*a*f*x*tan(exp(1))^3*tan(f*x)^5+96*a*f*x*tan(exp(1))^3*tan(f*x)^3+48*a*f*x*tan(exp(1))^3*tan(f*x)-48*a*f*x*tan(exp(1))^2*tan(f*x)^4-96*a*f*x*tan(exp(1))^2*tan(f*x)^2-48*a*f*x*tan(exp(1))^2+24*a*f*x*tan(exp(1))*tan(f*x)^5+48*a*f*x*tan(exp(1))*tan(f*x)^3+24*a*f*x*tan(exp(1))*tan(f*x)-24*a*f*x*tan(f*x)^4-48*a*f*x*tan(f*x)^2-24*a*f*x+24*a*tan(exp(1))^5*tan(f*x)^4+40*a*tan(exp(1))^5*tan(f*x)^2+24*a*tan(exp(1))^4*tan(f*x)^5+24*a*tan(exp(1))^4*tan(f*x)^3-80*a*tan(exp(1))^4*tan(f*x)+24*a*tan(exp(1))^3*tan(f*x)^4-96*a*tan(exp(1))^3*tan(f*x)^2+40*a*tan(exp(1))^3+40*a*tan(exp(1))^2*tan(f*x)^5-96*a*tan(exp(1))^2*tan(f*x)^3+24*a*tan(exp(1))^2*tan(f*x)-80*a*tan(exp(1))*tan(f*x)^4+24*a*tan(exp(1))*tan(f*x)^2+24*a*tan(exp(1))+40*a*tan(f*x)^3+24*a*tan(f*x)-120*b*f*x*tan(exp(1))^5*tan(f*x)^5-240*b*f*x*tan(exp(1))^5*tan(f*x)^3-120*b*f*x*tan(exp(1))^5*tan(f*x)+120*b*f*x*tan(exp(1))^4*tan(f*x)^4+240*b*f*x*tan(exp(1))^4*tan(f*x)^2+120*b*f*x*tan(exp(1))^4-240*b*f*x*tan(exp(1))^3*tan(f*x)^5-480*b*f*x*tan(exp(1))^3*tan(f*x)^3-240*b*f*x*tan(exp(1))^3*tan(f*x)+240*b*f*x*tan(exp(1))^2*tan(f*x)^4+480*b*f*x*tan(exp(1))^2*tan(f*x)^2+240*b*f*x*tan(exp(1))^2-120*b*f*x*tan(exp(1))*tan(f*x)^5-240*b*f*x*tan(exp(1))*tan(f*x)^3-120*b*f*x*tan(exp(1))*tan(f*x)+120*b*f*x*tan(f*x)^4+240*b*f*x*tan(f*x)^2+120*b*f*x+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)^5+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)^3+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^5*tan(f*x)-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^4*tan(f*x)^4-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^4*tan(f*x)^2-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^4+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^3*tan(f*x)^5+12*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^3*tan(f*x)^3+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^3*tan(f*x)-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^2*tan(f*x)^4-12*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^2*tan(f*x)^2-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))^2+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))*tan(f*x)^5+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))*tan(f*x)^3+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(exp(1))*tan(f*x)-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(f*x)^4-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)*tan(f*x)^2-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*sign(2*tan(exp(1))^2*tan(f*x)^2-2)+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^5*tan(f*x)^5+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^5*tan(f*x)^3+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^5*tan(f*x)-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^4*tan(f*x)^4-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^4*tan(f*x)^2-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^4+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^3*tan(f*x)^5+12*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^3*tan(f*x)^3+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^3*tan(f*x)-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^2*tan(f*x)^4-12*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^2*tan(f*x)^2-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))^2+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)^5+6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)^3+3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(exp(1))*tan(f*x)-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(f*x)^4-6*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))*tan(f*x)^2-3*b*pi*sign(2*tan(exp(1))^2*tan(f*x)-2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))+2*tan(f*x))+6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^5+12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)^3+6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^5*tan(f*x)-6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^4-12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4*tan(f*x)^2-6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^4+12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^5+24*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)^3+12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^3*tan(f*x)-12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^4-24*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2*tan(f*x)^2-12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))^2+6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)^5+12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)^3+6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(f*x)^4-12*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(f*x)^2-6*b*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)^5-12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)^3-6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^5*tan(f*x)+6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4*tan(f*x)^4+12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4*tan(f*x)^2+6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^4-12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)^5-24*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)^3-12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^3*tan(f*x)+12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2*tan(f*x)^4+24*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2*tan(f*x)^2+12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))^2-6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)^5-12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)^3-6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(exp(1))*tan(f*x)+6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(f*x)^4+12*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))*tan(f*x)^2+6*b*atan((tan(exp(1))-tan(f*x))/(tan(exp(1))*tan(f*x)+1))-120*b*tan(exp(1))^5*tan(f*x)^4-200*b*tan(exp(1))^5*tan(f*x)^2-64*b*tan(exp(1))^5-120*b*tan(exp(1))^4*tan(f*x)^5-120*b*tan(exp(1))^4*tan(f*x)^3+80*b*tan(exp(1))^4*tan(f*x)-120*b*tan(exp(1))^3*tan(f*x)^4-160*b*tan(exp(1))^3*tan(f*x)^2-200*b*tan(exp(1))^3-200*b*tan(exp(1))^2*tan(f*x)^5-160*b*tan(exp(1))^2*tan(f*x)^3-120*b*tan(exp(1))^2*tan(f*x)+80*b*tan(exp(1))*tan(f*x)^4-120*b*tan(exp(1))*tan(f*x)^2-120*b*tan(exp(1))-64*b*tan(f*x)^5-200*b*tan(f*x)^3-120*b*tan(f*x))/(64*f*tan(exp(1))^5*tan(f*x)^5+128*f*tan(exp(1))^5*tan(f*x)^3+64*f*tan(exp(1))^5*tan(f*x)-64*f*tan(exp(1))^4*tan(f*x)^4-128*f*tan(exp(1))^4*tan(f*x)^2-64*f*tan(exp(1))^4+128*f*tan(exp(1))^3*tan(f*x)^5+256*f*tan(exp(1))^3*tan(f*x)^3+128*f*tan(exp(1))^3*tan(f*x)-128*f*tan(exp(1))^2*tan(f*x)^4-256*f*tan(exp(1))^2*tan(f*x)^2-128*f*tan(exp(1))^2+64*f*tan(exp(1))*tan(f*x)^5+128*f*tan(exp(1))*tan(f*x)^3+64*f*tan(exp(1))*tan(f*x)-64*f*tan(f*x)^4-128*f*tan(f*x)^2-64*f)","F(-2)",0
38,1,395,0,1.965563," ","integrate(sin(f*x+e)^2*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{a f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + a f x \tan\left(f x\right)^{3} \tan\left(e\right) - 3 \, b f x \tan\left(f x\right)^{3} \tan\left(e\right) - a f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + a f x \tan\left(f x\right) \tan\left(e\right)^{3} - 3 \, b f x \tan\left(f x\right) \tan\left(e\right)^{3} + a \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 3 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + a \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 3 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - a f x \tan\left(f x\right)^{2} + 3 \, b f x \tan\left(f x\right)^{2} + a f x \tan\left(f x\right) \tan\left(e\right) - 3 \, b f x \tan\left(f x\right) \tan\left(e\right) - a f x \tan\left(e\right)^{2} + 3 \, b f x \tan\left(e\right)^{2} - 2 \, b \tan\left(f x\right)^{3} - 2 \, a \tan\left(f x\right)^{2} \tan\left(e\right) - 2 \, a \tan\left(f x\right) \tan\left(e\right)^{2} - 2 \, b \tan\left(e\right)^{3} - a f x + 3 \, b f x + a \tan\left(f x\right) - 3 \, b \tan\left(f x\right) + a \tan\left(e\right) - 3 \, b \tan\left(e\right)}{2 \, {\left(f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + f \tan\left(f x\right)^{3} \tan\left(e\right) - f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + f \tan\left(f x\right) \tan\left(e\right)^{3} - f \tan\left(f x\right)^{2} + f \tan\left(f x\right) \tan\left(e\right) - f \tan\left(e\right)^{2} - f\right)}}"," ",0,"1/2*(a*f*x*tan(f*x)^3*tan(e)^3 - 3*b*f*x*tan(f*x)^3*tan(e)^3 + a*f*x*tan(f*x)^3*tan(e) - 3*b*f*x*tan(f*x)^3*tan(e) - a*f*x*tan(f*x)^2*tan(e)^2 + 3*b*f*x*tan(f*x)^2*tan(e)^2 + a*f*x*tan(f*x)*tan(e)^3 - 3*b*f*x*tan(f*x)*tan(e)^3 + a*tan(f*x)^3*tan(e)^2 - 3*b*tan(f*x)^3*tan(e)^2 + a*tan(f*x)^2*tan(e)^3 - 3*b*tan(f*x)^2*tan(e)^3 - a*f*x*tan(f*x)^2 + 3*b*f*x*tan(f*x)^2 + a*f*x*tan(f*x)*tan(e) - 3*b*f*x*tan(f*x)*tan(e) - a*f*x*tan(e)^2 + 3*b*f*x*tan(e)^2 - 2*b*tan(f*x)^3 - 2*a*tan(f*x)^2*tan(e) - 2*a*tan(f*x)*tan(e)^2 - 2*b*tan(e)^3 - a*f*x + 3*b*f*x + a*tan(f*x) - 3*b*tan(f*x) + a*tan(e) - 3*b*tan(e))/(f*tan(f*x)^3*tan(e)^3 + f*tan(f*x)^3*tan(e) - f*tan(f*x)^2*tan(e)^2 + f*tan(f*x)*tan(e)^3 - f*tan(f*x)^2 + f*tan(f*x)*tan(e) - f*tan(e)^2 - f)","B",0
39,-2,0,0,0.000000," ","integrate(a+b*tan(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)b*(-4*f*x*tan(exp(1))*tan(f*x)+4*f*x-pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))*tan(f*x)+pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))-pi*tan(exp(1))*tan(f*x)+pi+2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))+2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-4*tan(exp(1))-4*tan(f*x))/(4*f*tan(exp(1))*tan(f*x)-4*f)+a*x","F(-2)",0
40,1,26,0,1.360160," ","integrate(csc(f*x+e)^2*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{b \tan\left(f x + e\right) - \frac{a}{\tan\left(f x + e\right)}}{f}"," ",0,"(b*tan(f*x + e) - a/tan(f*x + e))/f","A",0
41,1,53,0,1.773660," ","integrate(csc(f*x+e)^4*(a+b*tan(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} + 3 \, b \tan\left(f x + e\right)^{2} + a}{\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 + 3*b*tan(f*x + e)^2 + a)/tan(f*x + e)^3)/f","A",0
42,1,79,0,1.368438," ","integrate(csc(f*x+e)^6*(a+b*tan(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} + 30 \, b \tan\left(f x + e\right)^{4} + 10 \, a \tan\left(f x + e\right)^{2} + 5 \, b \tan\left(f x + e\right)^{2} + 3 \, a}{\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 + 30*b*tan(f*x + e)^4 + 10*a*tan(f*x + e)^2 + 5*b*tan(f*x + e)^2 + 3*a)/tan(f*x + e)^5)/f","A",0
43,-1,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,1,144,0,2.126416," ","integrate(sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{6 \, a b \cos\left(f x + e\right)^{2} - 9 \, 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} - 2 \, a b f^{11} \cos\left(f x + e\right)^{3} + b^{2} f^{11} \cos\left(f x + e\right)^{3} - 3 \, a^{2} f^{11} \cos\left(f x + e\right) + 12 \, a b f^{11} \cos\left(f x + e\right) - 9 \, b^{2} f^{11} \cos\left(f x + e\right)}{3 \, f^{12}}"," ",0,"1/3*(6*a*b*cos(f*x + e)^2 - 9*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 - 2*a*b*f^11*cos(f*x + e)^3 + b^2*f^11*cos(f*x + e)^3 - 3*a^2*f^11*cos(f*x + e) + 12*a*b*f^11*cos(f*x + e) - 9*b^2*f^11*cos(f*x + e))/f^12","A",0
45,1,94,0,2.131529," ","integrate(sin(f*x+e)*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{a^{2} f^{3} \cos\left(f x + e\right) - 2 \, a b f^{3} \cos\left(f x + e\right) + b^{2} f^{3} \cos\left(f x + e\right)}{f^{4}} + \frac{6 \, a b \cos\left(f x + e\right)^{2} - 6 \, b^{2} \cos\left(f x + e\right)^{2} + b^{2}}{3 \, f \cos\left(f x + e\right)^{3}}"," ",0,"-(a^2*f^3*cos(f*x + e) - 2*a*b*f^3*cos(f*x + e) + b^2*f^3*cos(f*x + e))/f^4 + 1/3*(6*a*b*cos(f*x + e)^2 - 6*b^2*cos(f*x + e)^2 + b^2)/(f*cos(f*x + e)^3)","A",0
46,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*tan(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+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+2*b^2)*1/3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))-1)^3+a^2/4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
47,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*tan(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*((-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-a^2)*1/16/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-3*((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*a*b-b^2)*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)))*a^2/16+(a^2+4*a*b)/8*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
48,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*tan(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*((-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-144*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-8*(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)))*a*b-a^2)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-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+(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)))*a^2+512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b)/4096+(3*a^2+24*a*b+8*b^2)/32*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
49,-1,0,0,0.000000," ","integrate(sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,1,1411,0,22.942188," ","integrate(sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 18 \, a b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 15 \, b^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 3 \, a^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{3} - 18 \, a b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{3} + 15 \, b^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{3} - 9 \, a^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 54 \, a b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 45 \, b^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 3 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{5} - 18 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{5} + 15 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{5} + 3 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} - 18 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 15 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 3 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 18 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 15 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 9 \, a^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 54 \, a b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 45 \, b^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 12 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 72 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 60 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 9 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 54 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 45 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 12 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{2} + 10 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 12 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} + 36 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 30 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 12 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 36 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 30 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 12 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 10 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 9 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right) - 54 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right) + 45 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right) - 12 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 72 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 60 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 9 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right)^{3} - 54 \, a b f x \tan\left(f x\right) \tan\left(e\right)^{3} + 45 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right)^{3} - 2 \, b^{2} \tan\left(f x\right)^{5} + 24 \, a b \tan\left(f x\right)^{4} \tan\left(e\right) - 30 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right) + 18 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 36 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 10 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 18 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 36 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 10 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 24 \, a b \tan\left(f x\right) \tan\left(e\right)^{4} - 30 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{4} - 2 \, b^{2} \tan\left(e\right)^{5} - 3 \, a^{2} f x \tan\left(f x\right)^{2} + 18 \, a b f x \tan\left(f x\right)^{2} - 15 \, b^{2} f x \tan\left(f x\right)^{2} + 9 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right) - 54 \, a b f x \tan\left(f x\right) \tan\left(e\right) + 45 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right) - 3 \, a^{2} f x \tan\left(e\right)^{2} + 18 \, a b f x \tan\left(e\right)^{2} - 15 \, b^{2} f x \tan\left(e\right)^{2} - 12 \, a b \tan\left(f x\right)^{3} + 10 \, b^{2} \tan\left(f x\right)^{3} - 12 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right) + 36 \, a b \tan\left(f x\right)^{2} \tan\left(e\right) - 30 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right) - 12 \, a^{2} \tan\left(f x\right) \tan\left(e\right)^{2} + 36 \, a b \tan\left(f x\right) \tan\left(e\right)^{2} - 30 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{2} - 12 \, a b \tan\left(e\right)^{3} + 10 \, b^{2} \tan\left(e\right)^{3} - 3 \, a^{2} f x + 18 \, a b f x - 15 \, b^{2} f x + 3 \, a^{2} \tan\left(f x\right) - 18 \, a b \tan\left(f x\right) + 15 \, b^{2} \tan\left(f x\right) + 3 \, a^{2} \tan\left(e\right) - 18 \, a b \tan\left(e\right) + 15 \, b^{2} \tan\left(e\right)}{6 \, {\left(f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + f \tan\left(f x\right)^{5} \tan\left(e\right)^{3} - 3 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + f \tan\left(f x\right)^{3} \tan\left(e\right)^{5} - 3 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 4 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 3 \, f \tan\left(f x\right)^{3} \tan\left(e\right) - 4 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, f \tan\left(f x\right) \tan\left(e\right)^{3} - f \tan\left(f x\right)^{2} + 3 \, f \tan\left(f x\right) \tan\left(e\right) - f \tan\left(e\right)^{2} - f\right)}}"," ",0,"1/6*(3*a^2*f*x*tan(f*x)^5*tan(e)^5 - 18*a*b*f*x*tan(f*x)^5*tan(e)^5 + 15*b^2*f*x*tan(f*x)^5*tan(e)^5 + 3*a^2*f*x*tan(f*x)^5*tan(e)^3 - 18*a*b*f*x*tan(f*x)^5*tan(e)^3 + 15*b^2*f*x*tan(f*x)^5*tan(e)^3 - 9*a^2*f*x*tan(f*x)^4*tan(e)^4 + 54*a*b*f*x*tan(f*x)^4*tan(e)^4 - 45*b^2*f*x*tan(f*x)^4*tan(e)^4 + 3*a^2*f*x*tan(f*x)^3*tan(e)^5 - 18*a*b*f*x*tan(f*x)^3*tan(e)^5 + 15*b^2*f*x*tan(f*x)^3*tan(e)^5 + 3*a^2*tan(f*x)^5*tan(e)^4 - 18*a*b*tan(f*x)^5*tan(e)^4 + 15*b^2*tan(f*x)^5*tan(e)^4 + 3*a^2*tan(f*x)^4*tan(e)^5 - 18*a*b*tan(f*x)^4*tan(e)^5 + 15*b^2*tan(f*x)^4*tan(e)^5 - 9*a^2*f*x*tan(f*x)^4*tan(e)^2 + 54*a*b*f*x*tan(f*x)^4*tan(e)^2 - 45*b^2*f*x*tan(f*x)^4*tan(e)^2 + 12*a^2*f*x*tan(f*x)^3*tan(e)^3 - 72*a*b*f*x*tan(f*x)^3*tan(e)^3 + 60*b^2*f*x*tan(f*x)^3*tan(e)^3 - 9*a^2*f*x*tan(f*x)^2*tan(e)^4 + 54*a*b*f*x*tan(f*x)^2*tan(e)^4 - 45*b^2*f*x*tan(f*x)^2*tan(e)^4 - 12*a*b*tan(f*x)^5*tan(e)^2 + 10*b^2*tan(f*x)^5*tan(e)^2 - 12*a^2*tan(f*x)^4*tan(e)^3 + 36*a*b*tan(f*x)^4*tan(e)^3 - 30*b^2*tan(f*x)^4*tan(e)^3 - 12*a^2*tan(f*x)^3*tan(e)^4 + 36*a*b*tan(f*x)^3*tan(e)^4 - 30*b^2*tan(f*x)^3*tan(e)^4 - 12*a*b*tan(f*x)^2*tan(e)^5 + 10*b^2*tan(f*x)^2*tan(e)^5 + 9*a^2*f*x*tan(f*x)^3*tan(e) - 54*a*b*f*x*tan(f*x)^3*tan(e) + 45*b^2*f*x*tan(f*x)^3*tan(e) - 12*a^2*f*x*tan(f*x)^2*tan(e)^2 + 72*a*b*f*x*tan(f*x)^2*tan(e)^2 - 60*b^2*f*x*tan(f*x)^2*tan(e)^2 + 9*a^2*f*x*tan(f*x)*tan(e)^3 - 54*a*b*f*x*tan(f*x)*tan(e)^3 + 45*b^2*f*x*tan(f*x)*tan(e)^3 - 2*b^2*tan(f*x)^5 + 24*a*b*tan(f*x)^4*tan(e) - 30*b^2*tan(f*x)^4*tan(e) + 18*a^2*tan(f*x)^3*tan(e)^2 - 36*a*b*tan(f*x)^3*tan(e)^2 + 10*b^2*tan(f*x)^3*tan(e)^2 + 18*a^2*tan(f*x)^2*tan(e)^3 - 36*a*b*tan(f*x)^2*tan(e)^3 + 10*b^2*tan(f*x)^2*tan(e)^3 + 24*a*b*tan(f*x)*tan(e)^4 - 30*b^2*tan(f*x)*tan(e)^4 - 2*b^2*tan(e)^5 - 3*a^2*f*x*tan(f*x)^2 + 18*a*b*f*x*tan(f*x)^2 - 15*b^2*f*x*tan(f*x)^2 + 9*a^2*f*x*tan(f*x)*tan(e) - 54*a*b*f*x*tan(f*x)*tan(e) + 45*b^2*f*x*tan(f*x)*tan(e) - 3*a^2*f*x*tan(e)^2 + 18*a*b*f*x*tan(e)^2 - 15*b^2*f*x*tan(e)^2 - 12*a*b*tan(f*x)^3 + 10*b^2*tan(f*x)^3 - 12*a^2*tan(f*x)^2*tan(e) + 36*a*b*tan(f*x)^2*tan(e) - 30*b^2*tan(f*x)^2*tan(e) - 12*a^2*tan(f*x)*tan(e)^2 + 36*a*b*tan(f*x)*tan(e)^2 - 30*b^2*tan(f*x)*tan(e)^2 - 12*a*b*tan(e)^3 + 10*b^2*tan(e)^3 - 3*a^2*f*x + 18*a*b*f*x - 15*b^2*f*x + 3*a^2*tan(f*x) - 18*a*b*tan(f*x) + 15*b^2*tan(f*x) + 3*a^2*tan(e) - 18*a*b*tan(e) + 15*b^2*tan(e))/(f*tan(f*x)^5*tan(e)^5 + f*tan(f*x)^5*tan(e)^3 - 3*f*tan(f*x)^4*tan(e)^4 + f*tan(f*x)^3*tan(e)^5 - 3*f*tan(f*x)^4*tan(e)^2 + 4*f*tan(f*x)^3*tan(e)^3 - 3*f*tan(f*x)^2*tan(e)^4 + 3*f*tan(f*x)^3*tan(e) - 4*f*tan(f*x)^2*tan(e)^2 + 3*f*tan(f*x)*tan(e)^3 - f*tan(f*x)^2 + 3*f*tan(f*x)*tan(e) - f*tan(e)^2 - f)","B",0
51,1,382,0,6.874458," ","integrate((a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 6 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 3 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 9 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 18 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 9 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 6 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 3 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 6 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 3 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 9 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right) - 18 \, a b f x \tan\left(f x\right) \tan\left(e\right) + 9 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right) - b^{2} \tan\left(f x\right)^{3} + 12 \, a b \tan\left(f x\right)^{2} \tan\left(e\right) - 9 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right) + 12 \, a b \tan\left(f x\right) \tan\left(e\right)^{2} - 9 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{2} - b^{2} \tan\left(e\right)^{3} - 3 \, a^{2} f x + 6 \, a b f x - 3 \, b^{2} f x - 6 \, a b \tan\left(f x\right) + 3 \, b^{2} \tan\left(f x\right) - 6 \, a b \tan\left(e\right) + 3 \, b^{2} \tan\left(e\right)}{3 \, {\left(f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"1/3*(3*a^2*f*x*tan(f*x)^3*tan(e)^3 - 6*a*b*f*x*tan(f*x)^3*tan(e)^3 + 3*b^2*f*x*tan(f*x)^3*tan(e)^3 - 9*a^2*f*x*tan(f*x)^2*tan(e)^2 + 18*a*b*f*x*tan(f*x)^2*tan(e)^2 - 9*b^2*f*x*tan(f*x)^2*tan(e)^2 - 6*a*b*tan(f*x)^3*tan(e)^2 + 3*b^2*tan(f*x)^3*tan(e)^2 - 6*a*b*tan(f*x)^2*tan(e)^3 + 3*b^2*tan(f*x)^2*tan(e)^3 + 9*a^2*f*x*tan(f*x)*tan(e) - 18*a*b*f*x*tan(f*x)*tan(e) + 9*b^2*f*x*tan(f*x)*tan(e) - b^2*tan(f*x)^3 + 12*a*b*tan(f*x)^2*tan(e) - 9*b^2*tan(f*x)^2*tan(e) + 12*a*b*tan(f*x)*tan(e)^2 - 9*b^2*tan(f*x)*tan(e)^2 - b^2*tan(e)^3 - 3*a^2*f*x + 6*a*b*f*x - 3*b^2*f*x - 6*a*b*tan(f*x) + 3*b^2*tan(f*x) - 6*a*b*tan(e) + 3*b^2*tan(e))/(f*tan(f*x)^3*tan(e)^3 - 3*f*tan(f*x)^2*tan(e)^2 + 3*f*tan(f*x)*tan(e) - f)","B",0
52,1,44,0,3.896307," ","integrate(csc(f*x+e)^2*(a+b*tan(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) - \frac{3 \, a^{2}}{\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) - 3*a^2/tan(f*x + e))/f","A",0
53,1,84,0,3.754069," ","integrate(csc(f*x+e)^4*(a+b*tan(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) + 3 \, b^{2} \tan\left(f x + e\right) - \frac{3 \, a^{2} \tan\left(f x + e\right)^{2} + 6 \, a b \tan\left(f x + e\right)^{2} + a^{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) + 3*b^2*tan(f*x + e) - (3*a^2*tan(f*x + e)^2 + 6*a*b*tan(f*x + e)^2 + a^2)/tan(f*x + e)^3)/f","A",0
54,1,128,0,5.948889," ","integrate(csc(f*x+e)^6*(a+b*tan(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) + 30 \, b^{2} \tan\left(f x + e\right) - \frac{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} + 10 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{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) + 30*b^2*tan(f*x + e) - (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 + 10*a*b*tan(f*x + e)^2 + 3*a^2)/tan(f*x + e)^5)/f","A",0
55,1,377,0,2.704631," ","integrate(sin(f*x+e)^5/(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, a^{2} b \arctan\left(-\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right) - b}{\sqrt{a b - b^{2}} \cos\left(f x + e\right) + \sqrt{a b - 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(8 \, a^{2} + 9 \, a b - 2 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{30 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{10 \, 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{10 \, 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{30 \, 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}}\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\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*arctan(-(a*cos(f*x + e) - b*cos(f*x + e) - b)/(sqrt(a*b - b^2)*cos(f*x + e) + sqrt(a*b - b^2)))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b - b^2)) - 2*(8*a^2 + 9*a*b - 2*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 30*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + 10*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 + 10*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 + 30*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)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
56,1,180,0,1.384933," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{a b \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a b - b^{2}} f} + \frac{a^{2} f^{5} \cos\left(f x + e\right)^{3} - 2 \, a b f^{5} \cos\left(f x + e\right)^{3} + b^{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 \, {\left(a^{3} f^{6} - 3 \, a^{2} b f^{6} + 3 \, a b^{2} f^{6} - b^{3} f^{6}\right)}}"," ",0,"a*b*arctan((a*cos(f*x + e) - b*cos(f*x + e))/sqrt(a*b - b^2))/((a^2 - 2*a*b + b^2)*sqrt(a*b - b^2)*f) + 1/3*(a^2*f^5*cos(f*x + e)^3 - 2*a*b*f^5*cos(f*x + e)^3 + b^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 - 3*a^2*b*f^6 + 3*a*b^2*f^6 - b^3*f^6)","B",0
57,1,81,0,1.703459," ","integrate(sin(f*x+e)/(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{f \cos\left(f x + e\right)}{a f^{2} - b f^{2}} + \frac{b \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{\sqrt{a b - b^{2}} {\left(a - b\right)} f}"," ",0,"-f*cos(f*x + e)/(a*f^2 - b*f^2) + b*arctan((a*cos(f*x + e) - b*cos(f*x + e))/sqrt(a*b - b^2))/(sqrt(a*b - b^2)*(a - b)*f)","A",0
58,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))-2*b/a*1/4/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b))))","F(-2)",0
59,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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)))*1/16/a+(-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/16/a^2/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(-2*a*b+2*b^2)*1/4/a^2/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b)))+(a-2*b)*1/8/a^2*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
60,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b)*1/4096/a^2+(-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-a^2)*1/128/a^3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-2*a^2*b+4*a*b^2-2*b^3)*1/4/a^3/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b)))+(3*a^2-12*a*b+8*b^2)*1/32/a^3*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
61,1,292,0,2.085070," ","integrate(sin(f*x+e)^6/(a+b*tan(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}}\right)\right)} a^{3} b}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} \sqrt{a b}} - \frac{3 \, {\left(5 \, a^{3} + 15 \, a^{2} b - 5 \, a b^{2} + b^{3}\right)} {\left(f x + e\right)}}{a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}} + \frac{33 \, a^{2} \tan\left(f x + e\right)^{5} - 12 \, a b \tan\left(f x + e\right)^{5} + 3 \, b^{2} \tan\left(f x + e\right)^{5} + 40 \, a^{2} \tan\left(f x + e\right)^{3} + 16 \, a b \tan\left(f x + e\right)^{3} - 8 \, b^{2} \tan\left(f x + e\right)^{3} + 15 \, a^{2} \tan\left(f x + e\right) + 12 \, a b \tan\left(f x + e\right) - 3 \, b^{2} \tan\left(f x + e\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(\tan\left(f x + e\right)^{2} + 1\right)}^{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)))*a^3*b/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*sqrt(a*b)) - 3*(5*a^3 + 15*a^2*b - 5*a*b^2 + b^3)*(f*x + e)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) + (33*a^2*tan(f*x + e)^5 - 12*a*b*tan(f*x + e)^5 + 3*b^2*tan(f*x + e)^5 + 40*a^2*tan(f*x + e)^3 + 16*a*b*tan(f*x + e)^3 - 8*b^2*tan(f*x + e)^3 + 15*a^2*tan(f*x + e) + 12*a*b*tan(f*x + e) - 3*b^2*tan(f*x + e))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(tan(f*x + e)^2 + 1)^3))/f","A",0
62,1,190,0,2.440098," ","integrate(sin(f*x+e)^4/(a+b*tan(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}}\right)\right)} a^{2} b}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a b}} - \frac{{\left(3 \, a^{2} + 6 \, a b - b^{2}\right)} {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{5 \, a \tan\left(f x + e\right)^{3} - b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) + b \tan\left(f x + e\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(\tan\left(f x + e\right)^{2} + 1\right)}^{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)))*a^2*b/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b)) - (3*a^2 + 6*a*b - b^2)*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (5*a*tan(f*x + e)^3 - b*tan(f*x + e)^3 + 3*a*tan(f*x + e) + b*tan(f*x + e))/((a^2 - 2*a*b + b^2)*(tan(f*x + e)^2 + 1)^2))/f","A",0
63,1,113,0,2.879241," ","integrate(sin(f*x+e)^2/(a+b*tan(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}}\right)\right)} a b}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a b}} - \frac{{\left(f x + e\right)} {\left(a + b\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} {\left(a - b\right)}}}{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)))*a*b/((a^2 - 2*a*b + b^2)*sqrt(a*b)) - (f*x + e)*(a + b)/(a^2 - 2*a*b + b^2) + tan(f*x + e)/((tan(f*x + e)^2 + 1)*(a - b)))/f","A",0
64,1,68,0,1.954526," ","integrate(1/(a+b*tan(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}}\right)\right)} b}{\sqrt{a b} {\left(a - b\right)}} - \frac{f x + e}{a - b}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))*b/(sqrt(a*b)*(a - b)) - (f*x + e)/(a - b))/f","A",0
65,1,62,0,2.897878," ","integrate(csc(f*x+e)^2/(a+b*tan(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}}\right)\right)} b}{\sqrt{a b} a} + \frac{1}{a \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/(sqrt(a*b)*a) + 1/(a*tan(f*x + e)))/f","A",0
66,1,97,0,2.992757," ","integrate(csc(f*x+e)^4/(a+b*tan(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}}\right)\right)} {\left(a b - b^{2}\right)}}{\sqrt{a b} a^{2}} + \frac{3 \, a \tan\left(f x + e\right)^{2} - 3 \, b \tan\left(f x + e\right)^{2} + a}{a^{2} \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)))*(a*b - b^2)/(sqrt(a*b)*a^2) + (3*a*tan(f*x + e)^2 - 3*b*tan(f*x + e)^2 + a)/(a^2*tan(f*x + e)^3))/f","A",0
67,1,151,0,1.902401," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\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}}\right)\right)}}{\sqrt{a b} a^{3}} + \frac{15 \, a^{2} \tan\left(f x + e\right)^{4} - 30 \, 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} + 3 \, a^{2}}{a^{3} \tan\left(f x + e\right)^{5}}}{15 \, f}"," ",0,"-1/15*(15*(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)))/(sqrt(a*b)*a^3) + (15*a^2*tan(f*x + e)^4 - 30*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 + 3*a^2)/(a^3*tan(f*x + e)^5))/f","A",0
68,1,561,0,4.706000," ","integrate(sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, a^{2} b + 4 \, a b^{2}\right)} \arctan\left(-\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right) - b}{\sqrt{a b - b^{2}} \cos\left(f x + e\right) + \sqrt{a b - 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{30 \, {\left(a^{2} b + \frac{a^{2} b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{2 \, a b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1}\right)}}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\left(a + \frac{2 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{4 \, 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}}\right)}} - \frac{4 \, {\left(8 \, a^{2} + 34 \, a b + 3 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{140 \, a b {\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{30 \, 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{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}}\right)}}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\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 + 4*a*b^2)*arctan(-(a*cos(f*x + e) - b*cos(f*x + e) - b)/(sqrt(a*b - b^2)*cos(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)) + 30*(a^2*b + a^2*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 2*a*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1))/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*(a + 2*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 4*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)) - 4*(8*a^2 + 34*a*b + 3*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 140*a*b*(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 + 30*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 + 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)/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
69,1,368,0,2.525946," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{a^{4} f^{11} \cos\left(f x + e\right)^{3} - 4 \, a^{3} b f^{11} \cos\left(f x + e\right)^{3} + 6 \, a^{2} b^{2} f^{11} \cos\left(f x + e\right)^{3} - 4 \, a b^{3} f^{11} \cos\left(f x + e\right)^{3} + b^{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) - 6 \, a b^{3} f^{11} \cos\left(f x + e\right) + 3 \, b^{4} f^{11} \cos\left(f x + e\right)}{3 \, {\left(a^{6} f^{12} - 6 \, a^{5} b f^{12} + 15 \, a^{4} b^{2} f^{12} - 20 \, a^{3} b^{3} f^{12} + 15 \, a^{2} b^{4} f^{12} - 6 \, a b^{5} f^{12} + b^{6} f^{12}\right)}} - \frac{a b \cos\left(f x + e\right)}{2 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(a \cos\left(f x + e\right)^{2} - b \cos\left(f x + e\right)^{2} + b\right)} f} + \frac{{\left(3 \, a b + 2 \, b^{2}\right)} \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{2 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a b - b^{2}} f}"," ",0,"1/3*(a^4*f^11*cos(f*x + e)^3 - 4*a^3*b*f^11*cos(f*x + e)^3 + 6*a^2*b^2*f^11*cos(f*x + e)^3 - 4*a*b^3*f^11*cos(f*x + e)^3 + b^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) - 6*a*b^3*f^11*cos(f*x + e) + 3*b^4*f^11*cos(f*x + e))/(a^6*f^12 - 6*a^5*b*f^12 + 15*a^4*b^2*f^12 - 20*a^3*b^3*f^12 + 15*a^2*b^4*f^12 - 6*a*b^5*f^12 + b^6*f^12) - 1/2*a*b*cos(f*x + e)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(a*cos(f*x + e)^2 - b*cos(f*x + e)^2 + b)*f) + 1/2*(3*a*b + 2*b^2)*arctan((a*cos(f*x + e) - b*cos(f*x + e))/sqrt(a*b - b^2))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b - b^2)*f)","B",0
70,1,153,0,2.886242," ","integrate(sin(f*x+e)/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{f^{3} \cos\left(f x + e\right)}{a^{2} f^{4} - 2 \, a b f^{4} + b^{2} f^{4}} + \frac{3 \, b \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a b - b^{2}} f} - \frac{b \cos\left(f x + e\right)}{2 \, {\left(a \cos\left(f x + e\right)^{2} - b \cos\left(f x + e\right)^{2} + b\right)} {\left(a^{2} - 2 \, a b + b^{2}\right)} f}"," ",0,"-f^3*cos(f*x + e)/(a^2*f^4 - 2*a*b*f^4 + b^2*f^4) + 3/2*b*arctan((a*cos(f*x + e) - b*cos(f*x + e))/sqrt(a*b - b^2))/((a^2 - 2*a*b + b^2)*sqrt(a*b - b^2)*f) - 1/2*b*cos(f*x + e)/((a*cos(f*x + e)^2 - b*cos(f*x + e)^2 + b)*(a^2 - 2*a*b + b^2)*f)","A",0
71,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-3*a*b+2*b^2)*1/4/(a^3-a^2*b)/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b)))+((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-a*b)/(2*a^3-2*a^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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
72,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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)))*1/16/a^2+(-2*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2+8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b+((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-16*((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^2-28*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-3*a^2)*1/48/a^3/(((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*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)))*a)+(a-4*b)*1/8/a^3*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-3*a*b+4*b^2)*1/4/a^3/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b))))","F(-2)",0
73,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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)))*a^2*b-3*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^2+2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^3-a^2*b+a*b^2)*1/2/a^4/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(-18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+144*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-144*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-8*(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)))*a*b-a^2)*1/128/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*a^2+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b)*1/4096/a^4+(-3*a^2*b+9*a*b^2-6*b^3)*1/4/a^4/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b)))+(3*a^2-24*a*b+24*b^2)*1/32/a^4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
74,1,266,0,2.697336," ","integrate(sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(a^{2} + 6 \, a b + b^{2}\right)} {\left(f x + e\right)}}{a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}} - \frac{4 \, 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\right)}} - \frac{12 \, {\left(a^{2} b + 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}}\right)\right)}}{{\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} \sqrt{a b}} - \frac{5 \, a \tan\left(f x + e\right)^{3} + 3 \, b \tan\left(f x + e\right)^{3} + 3 \, a \tan\left(f x + e\right) + 5 \, b \tan\left(f x + e\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2}}}{8 \, f}"," ",0,"1/8*(3*(a^2 + 6*a*b + b^2)*(f*x + e)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) - 4*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)) - 12*(a^2*b + a*b^2)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*sqrt(a*b)) - (5*a*tan(f*x + e)^3 + 3*b*tan(f*x + e)^3 + 3*a*tan(f*x + e) + 5*b*tan(f*x + e))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(tan(f*x + e)^2 + 1)^2))/f","A",0
75,1,195,0,3.094877," ","integrate(sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} {\left(a + 3 \, b\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{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}}\right)\right)} {\left(3 \, a b + b^{2}\right)}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a b}} - \frac{2 \, b \tan\left(f x + e\right)^{3} + a \tan\left(f x + e\right) + b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{4} + a \tan\left(f x + e\right)^{2} + b \tan\left(f x + e\right)^{2} + a\right)} {\left(a^{2} - 2 \, a b + b^{2}\right)}}}{2 \, f}"," ",0,"1/2*((f*x + e)*(a + 3*b)/(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)))*(3*a*b + b^2)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b)) - (2*b*tan(f*x + e)^3 + a*tan(f*x + e) + b*tan(f*x + e))/((b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + b*tan(f*x + e)^2 + a)*(a^2 - 2*a*b + b^2)))/f","A",0
76,1,127,0,1.802935," ","integrate(1/(a+b*tan(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}}\right)\right)} {\left(3 \, a b - b^{2}\right)}}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{a b}} - \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a\right)} {\left(a^{2} - 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)))*(3*a*b - b^2)/((a^3 - 2*a^2*b + a*b^2)*sqrt(a*b)) - 2*(f*x + e)/(a^2 - 2*a*b + b^2) + b*tan(f*x + e)/((b*tan(f*x + e)^2 + a)*(a^2 - a*b)))/f","A",0
77,1,93,0,1.476696," ","integrate(csc(f*x+e)^2/(a+b*tan(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}}\right)\right)} b}{\sqrt{a b} a^{2}} + \frac{3 \, b \tan\left(f x + e\right)^{2} + 2 \, a}{{\left(b \tan\left(f x + e\right)^{3} + a \tan\left(f x + e\right)\right)} a^{2}}}{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/(sqrt(a*b)*a^2) + (3*b*tan(f*x + e)^2 + 2*a)/((b*tan(f*x + e)^3 + a*tan(f*x + e))*a^2))/f","A",0
78,1,142,0,3.339848," ","integrate(csc(f*x+e)^4/(a+b*tan(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}}\right)\right)} {\left(3 \, a b - 5 \, b^{2}\right)}}{\sqrt{a b} a^{3}} + \frac{3 \, {\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\right)} a^{3}} + \frac{2 \, {\left(3 \, a \tan\left(f x + e\right)^{2} - 6 \, b \tan\left(f x + e\right)^{2} + a\right)}}{a^{3} \tan\left(f x + e\right)^{3}}}{6 \, f}"," ",0,"-1/6*(3*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))*(3*a*b - 5*b^2)/(sqrt(a*b)*a^3) + 3*(a*b*tan(f*x + e) - b^2*tan(f*x + e))/((b*tan(f*x + e)^2 + a)*a^3) + 2*(3*a*tan(f*x + e)^2 - 6*b*tan(f*x + e)^2 + a)/(a^3*tan(f*x + e)^3))/f","A",0
79,1,212,0,3.071154," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, a^{2} b - 10 \, a b^{2} + 7 \, 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}}\right)\right)}}{\sqrt{a b} a^{4}} + \frac{15 \, {\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\right)} a^{4}} + \frac{2 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} - 60 \, a b \tan\left(f x + e\right)^{4} + 45 \, b^{2} \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}\right)}}{a^{4} \tan\left(f x + e\right)^{5}}}{30 \, f}"," ",0,"-1/30*(15*(3*a^2*b - 10*a*b^2 + 7*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/(sqrt(a*b)*a^4) + 15*(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)*a^4) + 2*(15*a^2*tan(f*x + e)^4 - 60*a*b*tan(f*x + e)^4 + 45*b^2*tan(f*x + e)^4 + 10*a^2*tan(f*x + e)^2 - 10*a*b*tan(f*x + e)^2 + 3*a^2)/(a^4*tan(f*x + e)^5))/f","A",0
80,1,885,0,5.395427," ","integrate(sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(15 \, a^{2} b + 40 \, a b^{2} + 8 \, b^{3}\right)} \arctan\left(-\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right) - b}{\sqrt{a b - b^{2}} \cos\left(f x + e\right) + \sqrt{a b - 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)} \sqrt{a b - b^{2}}} + \frac{30 \, {\left(9 \, a^{3} b + 6 \, a^{2} b^{2} + \frac{27 \, a^{3} b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{32 \, a^{2} b^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{40 \, a b^{3} {\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{54 \, 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{24 \, a b^{3} {\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}} + \frac{48 \, 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{16 \, 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{8 \, a b^{3} {\left(\cos\left(f x + e\right) - 1\right)}^{3}}{{\left(\cos\left(f x + e\right) + 1\right)}^{3}}\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(a + \frac{2 \, a {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{4 \, 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}}\right)}^{2}} - \frac{16 \, {\left(8 \, a^{2} + 59 \, a b + 23 \, b^{2} - \frac{40 \, a^{2} {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{250 \, a b {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - \frac{70 \, 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{140 \, 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{90 \, 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{45 \, b^{2} {\left(\cos\left(f x + e\right) - 1\right)}^{4}}{{\left(\cos\left(f x + e\right) + 1\right)}^{4}}\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(\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 + 40*a*b^2 + 8*b^3)*arctan(-(a*cos(f*x + e) - b*cos(f*x + e) - b)/(sqrt(a*b - b^2)*cos(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)) + 30*(9*a^3*b + 6*a^2*b^2 + 27*a^3*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 32*a^2*b^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 40*a*b^3*(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 - 54*a^2*b^2*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 24*a*b^3*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2 + 48*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 - 16*a^2*b^2*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3 - 8*a*b^3*(cos(f*x + e) - 1)^3/(cos(f*x + e) + 1)^3)/((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*(a + 2*a*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 4*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + a*(cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)^2) - 16*(8*a^2 + 59*a*b + 23*b^2 - 40*a^2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 250*a*b*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 70*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 + 140*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 - 90*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 + 45*b^2*(cos(f*x + e) - 1)^4/(cos(f*x + e) + 1)^4)/((a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)^5))/f","B",0
81,1,563,0,7.402425," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{a^{6} f^{17} \cos\left(f x + e\right)^{3} - 6 \, a^{5} b f^{17} \cos\left(f x + e\right)^{3} + 15 \, a^{4} b^{2} f^{17} \cos\left(f x + e\right)^{3} - 20 \, a^{3} b^{3} f^{17} \cos\left(f x + e\right)^{3} + 15 \, a^{2} b^{4} f^{17} \cos\left(f x + e\right)^{3} - 6 \, a b^{5} f^{17} \cos\left(f x + e\right)^{3} + b^{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) - 30 \, a^{3} b^{3} f^{17} \cos\left(f x + e\right) + 45 \, a^{2} b^{4} f^{17} \cos\left(f x + e\right) - 27 \, a b^{5} f^{17} \cos\left(f x + e\right) + 6 \, b^{6} f^{17} \cos\left(f x + e\right)}{3 \, {\left(a^{9} f^{18} - 9 \, a^{8} b f^{18} + 36 \, a^{7} b^{2} f^{18} - 84 \, a^{6} b^{3} f^{18} + 126 \, a^{5} b^{4} f^{18} - 126 \, a^{4} b^{5} f^{18} + 84 \, a^{3} b^{6} f^{18} - 36 \, a^{2} b^{7} f^{18} + 9 \, a b^{8} f^{18} - b^{9} f^{18}\right)}} + \frac{5 \, {\left(3 \, a b + 4 \, b^{2}\right)} \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} \sqrt{a b - b^{2}} f} - \frac{\frac{9 \, a^{2} b \cos\left(f x + e\right)^{3}}{f} - \frac{5 \, a b^{2} \cos\left(f x + e\right)^{3}}{f} - \frac{4 \, b^{3} \cos\left(f x + e\right)^{3}}{f} + \frac{7 \, a b^{2} \cos\left(f x + e\right)}{f} + \frac{4 \, b^{3} \cos\left(f x + e\right)}{f}}{8 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\left(a \cos\left(f x + e\right)^{2} - b \cos\left(f x + e\right)^{2} + b\right)}^{2}}"," ",0,"1/3*(a^6*f^17*cos(f*x + e)^3 - 6*a^5*b*f^17*cos(f*x + e)^3 + 15*a^4*b^2*f^17*cos(f*x + e)^3 - 20*a^3*b^3*f^17*cos(f*x + e)^3 + 15*a^2*b^4*f^17*cos(f*x + e)^3 - 6*a*b^5*f^17*cos(f*x + e)^3 + b^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) - 30*a^3*b^3*f^17*cos(f*x + e) + 45*a^2*b^4*f^17*cos(f*x + e) - 27*a*b^5*f^17*cos(f*x + e) + 6*b^6*f^17*cos(f*x + e))/(a^9*f^18 - 9*a^8*b*f^18 + 36*a^7*b^2*f^18 - 84*a^6*b^3*f^18 + 126*a^5*b^4*f^18 - 126*a^4*b^5*f^18 + 84*a^3*b^6*f^18 - 36*a^2*b^7*f^18 + 9*a*b^8*f^18 - b^9*f^18) + 5/8*(3*a*b + 4*b^2)*arctan((a*cos(f*x + e) - b*cos(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)*f) - 1/8*(9*a^2*b*cos(f*x + e)^3/f - 5*a*b^2*cos(f*x + e)^3/f - 4*b^3*cos(f*x + e)^3/f + 7*a*b^2*cos(f*x + e)/f + 4*b^3*cos(f*x + e)/f)/((a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*(a*cos(f*x + e)^2 - b*cos(f*x + e)^2 + b)^2)","B",0
82,1,223,0,4.684123," ","integrate(sin(f*x+e)/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{f^{5} \cos\left(f x + e\right)}{a^{3} f^{6} - 3 \, a^{2} b f^{6} + 3 \, a b^{2} f^{6} - b^{3} f^{6}} + \frac{15 \, b \arctan\left(\frac{a \cos\left(f x + e\right) - b \cos\left(f x + e\right)}{\sqrt{a b - b^{2}}}\right)}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a b - b^{2}} f} - \frac{\frac{9 \, a b \cos\left(f x + e\right)^{3}}{f} - \frac{9 \, b^{2} \cos\left(f x + e\right)^{3}}{f} + \frac{7 \, b^{2} \cos\left(f x + e\right)}{f}}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(a \cos\left(f x + e\right)^{2} - b \cos\left(f x + e\right)^{2} + b\right)}^{2}}"," ",0,"-f^5*cos(f*x + e)/(a^3*f^6 - 3*a^2*b*f^6 + 3*a*b^2*f^6 - b^3*f^6) + 15/8*b*arctan((a*cos(f*x + e) - b*cos(f*x + e))/sqrt(a*b - b^2))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b - b^2)*f) - 1/8*(9*a*b*cos(f*x + e)^3/f - 9*b^2*cos(f*x + e)^3/f + 7*b^2*cos(f*x + e)/f)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(a*cos(f*x + e)^2 - b*cos(f*x + e)^2 + b)^2)","A",0
83,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-15*a^2*b+20*a*b^2-8*b^3)*1/4/(4*a^5-8*a^4*b+4*a^3*b^2)/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b)))+(9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b-28*((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^3-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b+90*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2-120*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3+48*((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-68*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^2+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3-9*a^3*b+6*a^2*b^2)/(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-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)^2)","F(-2)",0
84,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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*((-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/16/a^4/(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))))^3*a^3*b-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^2+24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b+102*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2-152*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3+80*((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-80*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^2+56*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3-9*a^3*b+10*a^2*b^2)/(8*a^5-8*a^4*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)))*a+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)))*1/16/a^3+(a-6*b)*1/8/a^4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-15*a^2*b+40*a*b^2-24*b^3)*1/4/(4*a^5-4*a^4*b)/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b))))","F(-2)",0
85,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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*a^3+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3-768*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b)*1/4096/a^6+(-6*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^4+72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^3*b-96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^2*b^2+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^4-168*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^3*b+384*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^2*b^2-256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a*b^3-5*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^4-64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3*b+192*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2*b^2-256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a*b^3+256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^4-20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4+360*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b-1024*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^2+896*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4-216*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b+304*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b-a^4)*1/128/a^5/(((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*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)))*a)^2+(3*a^2-36*a*b+48*b^2)*1/32/a^5*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-15*a^2*b+60*a*b^2-48*b^3)*1/4/a^5*1/4/sqrt(-b^2+a*b)*atan((-a*cos(f*x+exp(1))+b*cos(f*x+exp(1))+b)/(sqrt(-b^2+a*b)*cos(f*x+exp(1))+sqrt(-b^2+a*b))))","F(-2)",0
86,1,399,0,3.115928," ","integrate(sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(a^{2} + 10 \, a b + 5 \, b^{2}\right)} {\left(f x + e\right)}}{a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}} - \frac{3 \, {\left(5 \, a^{2} b + 10 \, 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}}\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}} - \frac{12 \, a b^{2} \tan\left(f x + e\right)^{7} + 12 \, b^{3} \tan\left(f x + e\right)^{7} + 19 \, a^{2} b \tan\left(f x + e\right)^{5} + 34 \, a b^{2} \tan\left(f x + e\right)^{5} + 19 \, b^{3} \tan\left(f x + e\right)^{5} + 5 \, a^{3} \tan\left(f x + e\right)^{3} + 31 \, a^{2} b \tan\left(f x + e\right)^{3} + 31 \, a b^{2} \tan\left(f x + e\right)^{3} + 5 \, b^{3} \tan\left(f x + e\right)^{3} + 3 \, a^{3} \tan\left(f x + e\right) + 18 \, a^{2} b \tan\left(f x + e\right) + 3 \, a 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} + b \tan\left(f x + e\right)^{2} + a\right)}^{2} {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)}}}{8 \, f}"," ",0,"1/8*(3*(a^2 + 10*a*b + 5*b^2)*(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) - 3*(5*a^2*b + 10*a*b^2 + b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((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)) - (12*a*b^2*tan(f*x + e)^7 + 12*b^3*tan(f*x + e)^7 + 19*a^2*b*tan(f*x + e)^5 + 34*a*b^2*tan(f*x + e)^5 + 19*b^3*tan(f*x + e)^5 + 5*a^3*tan(f*x + e)^3 + 31*a^2*b*tan(f*x + e)^3 + 31*a*b^2*tan(f*x + e)^3 + 5*b^3*tan(f*x + e)^3 + 3*a^3*tan(f*x + e) + 18*a^2*b*tan(f*x + e) + 3*a*b^2*tan(f*x + e))/((b*tan(f*x + e)^4 + a*tan(f*x + e)^2 + b*tan(f*x + e)^2 + a)^2*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)))/f","A",0
87,1,282,0,2.926264," ","integrate(sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(f x + e\right)} {\left(a + 5 \, b\right)}}{a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}} - \frac{{\left(15 \, a^{2} b + 10 \, 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}}\right)\right)}}{{\left(a^{5} - 4 \, a^{4} b + 6 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + a b^{4}\right)} \sqrt{a b}} - \frac{4 \, \tan\left(f x + e\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(\tan\left(f x + e\right)^{2} + 1\right)}} - \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} + b^{3} \tan\left(f x + e\right)^{3} + 9 \, a^{2} b \tan\left(f x + e\right) - a b^{2} \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\right)}^{2}}}{8 \, f}"," ",0,"1/8*(4*(f*x + e)*(a + 5*b)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) - (15*a^2*b + 10*a*b^2 - b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^5 - 4*a^4*b + 6*a^3*b^2 - 4*a^2*b^3 + a*b^4)*sqrt(a*b)) - 4*tan(f*x + e)/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(tan(f*x + e)^2 + 1)) - (7*a*b^2*tan(f*x + e)^3 + b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) - a*b^2*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)^2))/f","A",0
88,1,213,0,1.411814," ","integrate(1/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b - 10 \, a b^{2} + 3 \, 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}}\right)\right)}}{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} \sqrt{a b}} - \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} - 3 \, 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)}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b - 10*a*b^2 + 3*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*sqrt(a*b)) - 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (7*a*b^2*tan(f*x + e)^3 - 3*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) - 5*a*b^2*tan(f*x + e))/((a^4 - 2*a^3*b + a^2*b^2)*(b*tan(f*x + e)^2 + a)^2))/f","A",0
89,1,109,0,2.782342," ","integrate(csc(f*x+e)^2/(a+b*tan(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}}\right)\right)} b}{\sqrt{a b} a^{3}} + \frac{7 \, b^{2} \tan\left(f x + e\right)^{3} + 9 \, a b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2} a^{3}} + \frac{8}{a^{3} \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/(sqrt(a*b)*a^3) + (7*b^2*tan(f*x + e)^3 + 9*a*b*tan(f*x + e))/((b*tan(f*x + e)^2 + a)^2*a^3) + 8/(a^3*tan(f*x + e)))/f","A",0
90,1,175,0,2.168768," ","integrate(csc(f*x+e)^4/(a+b*tan(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}}\right)\right)} {\left(3 \, a b - 7 \, b^{2}\right)}}{\sqrt{a b} a^{4}} + \frac{3 \, {\left(7 \, a b^{2} \tan\left(f x + e\right)^{3} - 11 \, 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)\right)}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2} a^{4}} + \frac{8 \, {\left(3 \, a \tan\left(f x + e\right)^{2} - 9 \, b \tan\left(f x + e\right)^{2} + a\right)}}{a^{4} \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)))*(3*a*b - 7*b^2)/(sqrt(a*b)*a^4) + 3*(7*a*b^2*tan(f*x + e)^3 - 11*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) - 13*a*b^2*tan(f*x + e))/((b*tan(f*x + e)^2 + a)^2*a^4) + 8*(3*a*tan(f*x + e)^2 - 9*b*tan(f*x + e)^2 + a)/(a^4*tan(f*x + e)^3))/f","A",0
91,1,263,0,4.127824," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(15 \, a^{2} b - 70 \, a b^{2} + 63 \, 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}}\right)\right)}}{\sqrt{a b} a^{5}} + \frac{15 \, {\left(7 \, a^{2} b^{2} \tan\left(f x + e\right)^{3} - 22 \, a b^{3} \tan\left(f x + e\right)^{3} + 15 \, b^{4} \tan\left(f x + e\right)^{3} + 9 \, a^{3} b \tan\left(f x + e\right) - 26 \, a^{2} b^{2} \tan\left(f x + e\right) + 17 \, a b^{3} \tan\left(f x + e\right)\right)}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2} a^{5}} + \frac{8 \, {\left(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} - 15 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{2}\right)}}{a^{5} \tan\left(f x + e\right)^{5}}}{120 \, f}"," ",0,"-1/120*(15*(15*a^2*b - 70*a*b^2 + 63*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/(sqrt(a*b)*a^5) + 15*(7*a^2*b^2*tan(f*x + e)^3 - 22*a*b^3*tan(f*x + e)^3 + 15*b^4*tan(f*x + e)^3 + 9*a^3*b*tan(f*x + e) - 26*a^2*b^2*tan(f*x + e) + 17*a*b^3*tan(f*x + e))/((b*tan(f*x + e)^2 + a)^2*a^5) + 8*(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 - 15*a*b*tan(f*x + e)^2 + 3*a^2)/(a^5*tan(f*x + e)^5))/f","A",0
92,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*tan(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*32*(1/240*(15*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^9-165*sqrt(a)*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^8-320*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7+320*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7+540*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7-640*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6-2960*sqrt(a)*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6+2940*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6+832*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5+2848*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-2464*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-1246*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-2880*a^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+3840*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+2560*sqrt(a)*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4-23040*a*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+46240*a^2*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-41760*a^3*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+17735*a^4*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-6560*sqrt(a)*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+16400*sqrt(a)*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4-11590*sqrt(a)*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+320*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+5120*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-16320*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+14720*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-4500*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-3200*sqrt(a)*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3840*sqrt(a)*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+18880*sqrt(a)*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-27760*sqrt(a)*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+15980*sqrt(a)*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-768*sqrt(a)*a^5+3840*sqrt(a)*b^5-14080*sqrt(a)*a*b^4+20448*sqrt(a)*a^2*b^3-14864*sqrt(a)*a^3*b^2+5379*sqrt(a)*a^4*b)/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b)^5+1/32*b*atan(1/2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/sqrt(-b))/sqrt(-b))*sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
93,-2,0,0,0.000000," ","integrate(sin(f*x+e)^3*(a+b*tan(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)abs(f)*((1/3*a^2*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-a^3*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)+1/3*b^2*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)+b^3*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-2/3*a*b*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-3*a*b^2*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)+3*a^2*b*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f))/(a^3*f^6-b^3*f^6+3*a*b^2*f^6-3*a^2*b*f^6)-b*sign(cos(f*x+exp(1)))*sign(f)*atan(sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)/sqrt(-b))/sqrt(-b)/f^2-(-3*a*b*atan(sqrt(b)/sqrt(-b))-3*a*sqrt(-b)*sqrt(b)+3*b^2*atan(sqrt(b)/sqrt(-b))+4*b*sqrt(-b)*sqrt(b))/(3*a*f^2*sqrt(-b)-3*b*f^2*sqrt(-b))*sign(cos(f*x+exp(1)))*sign(f))","F(-2)",0
94,-2,0,0,0.000000," ","integrate(sin(f*x+e)*(a+b*tan(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)abs(f)*(-sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)/f^2-b*sign(cos(f*x+exp(1)))*sign(f)*atan(sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)/sqrt(-b))/sqrt(-b)/f^2-(-b*atan(sqrt(b)/sqrt(-b))-sqrt(-b)*sqrt(b))/f^2/sqrt(-b)*sign(cos(f*x+exp(1)))*sign(f))","F(-2)",0
95,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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.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.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.Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-25]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[84]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-99]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-54]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-56]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-32]Evaluation time: 1.39index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
96,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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: 1.22Error: Bad Argument Type","F(-2)",0
97,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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)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: 1.54Error: Bad Argument Type","F(-2)",0
98,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*sin(f*x + e)^4, x)","F",0
99,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*sin(f*x + e)^2, x)","F",0
100,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a), x)","F",0
101,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*csc(f*x + e)^2, x)","F",0
102,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*csc(f*x + e)^4, x)","F",0
103,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*csc(f*x + e)^6, x)","F",0
104,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*tan(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)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)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*(1/2*(-4*sqrt(a)*b^3*sign(tan((f*x+exp(1))/2)^2-1)-b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)-4*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)+3*sqrt(a)*a*b^2*sign(tan((f*x+exp(1))/2)^2-1)-sqrt(a)*a^2*b*sign(tan((f*x+exp(1))/2)^2-1)-a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)+9*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)-3*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)+5*sqrt(a)*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)-3*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1))/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-a+4*b)^2-1/15*(768*sqrt(a)*a^6*sign(tan((f*x+exp(1))/2)^2-1)+320*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7*sign(tan((f*x+exp(1))/2)^2-1)-832*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5*sign(tan((f*x+exp(1))/2)^2-1)-320*a^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)+2880*a^6*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)+11520*sqrt(a)*b^6*sign(tan((f*x+exp(1))/2)^2-1)+45*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^9*sign(tan((f*x+exp(1))/2)^2-1)+880*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7*sign(tan((f*x+exp(1))/2)^2-1)+6368*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5*sign(tan((f*x+exp(1))/2)^2-1)+14080*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)+11520*b^6*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)-47360*sqrt(a)*a*b^5*sign(tan((f*x+exp(1))/2)^2-1)+79968*sqrt(a)*a^2*b^4*sign(tan((f*x+exp(1))/2)^2-1)-70512*sqrt(a)*a^3*b^3*sign(tan((f*x+exp(1))/2)^2-1)+640*sqrt(a)*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6*sign(tan((f*x+exp(1))/2)^2-1)+33893*sqrt(a)*a^4*b^2*sign(tan((f*x+exp(1))/2)^2-1)-2560*sqrt(a)*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4*sign(tan((f*x+exp(1))/2)^2-1)-8262*sqrt(a)*a^5*b*sign(tan((f*x+exp(1))/2)^2-1)+3200*sqrt(a)*a^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)-30*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^9*sign(tan((f*x+exp(1))/2)^2-1)+180*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7*sign(tan((f*x+exp(1))/2)^2-1)-8912*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5*sign(tan((f*x+exp(1))/2)^2-1)-48960*a*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)-72960*a*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)-1080*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7*sign(tan((f*x+exp(1))/2)^2-1)+198*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5*sign(tan((f*x+exp(1))/2)^2-1)+57680*a^2*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)+164960*a^2*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)+3388*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5*sign(tan((f*x+exp(1))/2)^2-1)-28060*a^3*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)-180720*a^3*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)+5160*a^4*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3*sign(tan((f*x+exp(1))/2)^2-1)+102645*a^4*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)-28430*a^5*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))*sign(tan((f*x+exp(1))/2)^2-1)-435*sqrt(a)*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^8*sign(tan((f*x+exp(1))/2)^2-1)-6160*sqrt(a)*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6*sign(tan((f*x+exp(1))/2)^2-1)-17440*sqrt(a)*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4*sign(tan((f*x+exp(1))/2)^2-1)-11520*sqrt(a)*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)+330*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^8*sign(tan((f*x+exp(1))/2)^2-1)+10020*sqrt(a)*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6*sign(tan((f*x+exp(1))/2)^2-1)+49840*sqrt(a)*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4*sign(tan((f*x+exp(1))/2)^2-1)+59840*sqrt(a)*a*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)-4920*sqrt(a)*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6*sign(tan((f*x+exp(1))/2)^2-1)-49290*sqrt(a)*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4*sign(tan((f*x+exp(1))/2)^2-1)-104240*sqrt(a)*a^2*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)+19660*sqrt(a)*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4*sign(tan((f*x+exp(1))/2)^2-1)+80820*sqrt(a)*a^3*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1)-27800*sqrt(a)*a^4*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2*sign(tan((f*x+exp(1))/2)^2-1))/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b)^5+1/4*(-7*b^2*sign(tan((f*x+exp(1))/2)^2-1)+3*a*b*sign(tan((f*x+exp(1))/2)^2-1))*atan(1/2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/sqrt(-b))/sqrt(-b))","F(-2)",0
105,-2,0,0,0.000000," ","integrate(sin(f*x+e)^3*(a+b*tan(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: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)abs(f)*(-1/2*(b^2*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-a*b*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f))/f^2/(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2)+(1/3*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-a*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)+2*b*f^4*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f))/f^6-1/2*(-5*b^2*sign(cos(f*x+exp(1)))*sign(f)+3*a*b*sign(cos(f*x+exp(1)))*sign(f))*atan(sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)/sqrt(-b))/sqrt(-b)/f^2)","F(-2)",0
106,-2,0,0,0.000000," ","integrate(sin(f*x+e)*(a+b*tan(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: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)abs(f)*((-a*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)+b*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f))/f^2-1/2*(b^2*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f)-a*b*sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)*sign(cos(f*x+exp(1)))*sign(f))/f^2/(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2)-1/2*(-3*b^2*sign(cos(f*x+exp(1)))*sign(f)+3*a*b*sign(cos(f*x+exp(1)))*sign(f))*atan(sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)/sqrt(-b))/sqrt(-b)/f^2)","F(-2)",0
107,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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: 2.04Error: Bad Argument Type","F(-2)",0
108,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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: 2.5Unable to divide, perhaps due to rounding error%%%{%%{[-16384,0]:[1,0,%%%{-1,[1]%%%}]%%},[6,9]%%%}+%%%{%%{[%%%{81920,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,8]%%%}+%%%{%%{[%%%{-163840,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,7]%%%}+%%%{%%{[%%%{163840,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,6]%%%}+%%%{%%{[%%%{-81920,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,5]%%%}+%%%{%%{[%%%{16384,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4]%%%}+%%%{%%%{-98304,[1]%%%},[5,9]%%%}+%%%{%%%{491520,[2]%%%},[5,8]%%%}+%%%{%%%{-983040,[3]%%%},[5,7]%%%}+%%%{%%%{983040,[4]%%%},[5,6]%%%}+%%%{%%%{-491520,[5]%%%},[5,5]%%%}+%%%{%%%{98304,[6]%%%},[5,4]%%%}+%%%{%%{[196608,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,10]%%%}+%%%{%%{[%%%{-1228800,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,9]%%%}+%%%{%%{[%%%{3194880,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,8]%%%}+%%%{%%{[%%%{-4423680,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,7]%%%}+%%%{%%{[%%%{3440640,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,6]%%%}+%%%{%%{[%%%{-1425408,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,5]%%%}+%%%{%%{[%%%{245760,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4]%%%}+%%%{%%%{786432,[1]%%%},[3,10]%%%}+%%%{%%%{-4259840,[2]%%%},[3,9]%%%}+%%%{%%%{9502720,[3]%%%},[3,8]%%%}+%%%{%%%{-11141120,[4]%%%},[3,7]%%%}+%%%{%%%{7208960,[5]%%%},[3,6]%%%}+%%%{%%%{-2424832,[6]%%%},[3,5]%%%}+%%%{%%%{327680,[7]%%%},[3,4]%%%}+%%%{%%{[-786432,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,11]%%%}+%%%{%%{[%%%{5111808,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,10]%%%}+%%%{%%{[%%%{-14008320,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,9]%%%}+%%%{%%{[%%%{20889600,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,8]%%%}+%%%{%%{[%%%{-18186240,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,7]%%%}+%%%{%%{[%%%{9142272,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,6]%%%}+%%%{%%{[%%%{-2408448,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,5]%%%}+%%%{%%{[%%%{245760,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4]%%%}+%%%{%%%{-1572864,[1]%%%},[1,11]%%%}+%%%{%%%{8650752,[2]%%%},[1,10]%%%}+%%%{%%%{-19759104,[3]%%%},[1,9]%%%}+%%%{%%%{24084480,[4]%%%},[1,8]%%%}+%%%{%%%{-16711680,[5]%%%},[1,7]%%%}+%%%{%%%{6488064,[6]%%%},[1,6]%%%}+%%%{%%%{-1277952,[7]%%%},[1,5]%%%}+%%%{%%%{98304,[8]%%%},[1,4]%%%}+%%%{%%{[1048576,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,12]%%%}+%%%{%%{[%%%{-6029312,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,11]%%%}+%%%{%%{[%%%{14614528,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,10]%%%}+%%%{%%{[%%%{-19349504,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9]%%%}+%%%{%%{[%%%{15155200,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,8]%%%}+%%%{%%{[%%%{-7110656,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,7]%%%}+%%%{%%{[%%%{1933312,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,6]%%%}+%%%{%%{[%%%{-278528,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,5]%%%}+%%%{%%{[%%%{16384,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4]%%%} / %%%{%%{poly1[%%%{-1,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,0]%%%}+%%%{%%%{-6,[2]%%%},[5,0]%%%}+%%%{%%{[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,1]%%%}+%%%{%%{poly1[%%%{-15,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0]%%%}+%%%{%%%{48,[2]%%%},[3,1]%%%}+%%%{%%%{-20,[3]%%%},[3,0]%%%}+%%%{%%{[%%%{-48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2]%%%}+%%%{%%{[%%%{72,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,1]%%%}+%%%{%%{poly1[%%%{-15,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0]%%%}+%%%{%%%{-96,[2]%%%},[1,2]%%%}+%%%{%%%{48,[3]%%%},[1,1]%%%}+%%%{%%%{-6,[4]%%%},[1,0]%%%}+%%%{%%{[%%%{64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3]%%%}+%%%{%%{poly1[%%%{-48,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2]%%%}+%%%{%%{[%%%{12,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,1]%%%}+%%%{%%{poly1[%%%{-1,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
109,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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)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: 3.02Unable to divide, perhaps due to rounding error%%%{262144,[12,12]%%%}+%%%{%%%{-1572864,[1]%%%},[12,11]%%%}+%%%{%%%{3932160,[2]%%%},[12,10]%%%}+%%%{%%%{-5242880,[3]%%%},[12,9]%%%}+%%%{%%%{3932160,[4]%%%},[12,8]%%%}+%%%{%%%{-1572864,[5]%%%},[12,7]%%%}+%%%{%%%{262144,[6]%%%},[12,6]%%%}+%%%{%%{[1572864,0]:[1,0,%%%{-1,[1]%%%}]%%},[11,12]%%%}+%%%{%%{[%%%{-9437184,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,11]%%%}+%%%{%%{[%%%{23592960,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,10]%%%}+%%%{%%{[%%%{-31457280,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,9]%%%}+%%%{%%{[%%%{23592960,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,8]%%%}+%%%{%%{[%%%{-9437184,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,7]%%%}+%%%{%%{[%%%{1572864,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,6]%%%}+%%%{-3145728,[10,13]%%%}+%%%{%%%{22020096,[1]%%%},[10,12]%%%}+%%%{%%%{-66060288,[2]%%%},[10,11]%%%}+%%%{%%%{110100480,[3]%%%},[10,10]%%%}+%%%{%%%{-110100480,[4]%%%},[10,9]%%%}+%%%{%%%{66060288,[5]%%%},[10,8]%%%}+%%%{%%%{-22020096,[6]%%%},[10,7]%%%}+%%%{%%%{3145728,[7]%%%},[10,6]%%%}+%%%{%%{[-12582912,0]:[1,0,%%%{-1,[1]%%%}]%%},[9,13]%%%}+%%%{%%{[%%%{76021760,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,12]%%%}+%%%{%%{[%%%{-191889408,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,11]%%%}+%%%{%%{[%%%{259522560,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,10]%%%}+%%%{%%{[%%%{-199229440,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,9]%%%}+%%%{%%{[%%%{83361792,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,8]%%%}+%%%{%%{[%%%{-15728640,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,7]%%%}+%%%{%%{[%%%{524288,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,6]%%%}+%%%{12582912,[8,14]%%%}+%%%{%%%{-84934656,[1]%%%},[8,13]%%%}+%%%{%%%{238288896,[2]%%%},[8,12]%%%}+%%%{%%%{-350748672,[3]%%%},[8,11]%%%}+%%%{%%%{271319040,[4]%%%},[8,10]%%%}+%%%{%%%{-75497472,[5]%%%},[8,9]%%%}+%%%{%%%{-36962304,[6]%%%},[8,8]%%%}+%%%{%%%{33030144,[7]%%%},[8,7]%%%}+%%%{%%%{-7077888,[8]%%%},[8,6]%%%}+%%%{%%{[25165824,0]:[1,0,%%%{-1,[1]%%%}]%%},[7,14]%%%}+%%%{%%{[%%%{-125829120,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,13]%%%}+%%%{%%{[%%%{217055232,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,12]%%%}+%%%{%%{[%%%{-69206016,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,11]%%%}+%%%{%%{[%%%{-267386880,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,10]%%%}+%%%{%%{[%%%{415236096,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,9]%%%}+%%%{%%{[%%%{-267386880,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,8]%%%}+%%%{%%{[%%%{81788928,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,7]%%%}+%%%{%%{[%%%{-9437184,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,6]%%%}+%%%{-16777216,[6,15]%%%}+%%%{%%%{75497472,[1]%%%},[6,14]%%%}+%%%{%%%{-56623104,[2]%%%},[6,13]%%%}+%%%{%%%{-306184192,[3]%%%},[6,12]%%%}+%%%{%%%{912261120,[4]%%%},[6,11]%%%}+%%%{%%%{-1157627904,[5]%%%},[6,10]%%%}+%%%{%%%{794820608,[6]%%%},[6,9]%%%}+%%%{%%%{-289406976,[7]%%%},[6,8]%%%}+%%%{%%%{44040192,[8]%%%},[6,7]%%%}+%%%{%%{[%%%{-75497472,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,14]%%%}+%%%{%%{[%%%{452984832,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,13]%%%}+%%%{%%{[%%%{-1123024896,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,12]%%%}+%%%{%%{[%%%{1453326336,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,11]%%%}+%%%{%%{[%%%{-990904320,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,10]%%%}+%%%{%%{[%%%{264241152,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,9]%%%}+%%%{%%{[%%%{66060288,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,8]%%%}+%%%{%%{[%%%{-56623104,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,7]%%%}+%%%{%%{[%%%{9437184,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,6]%%%}+%%%{%%%{50331648,[1]%%%},[4,15]%%%}+%%%{%%%{-301989888,[2]%%%},[4,14]%%%}+%%%{%%%{710934528,[3]%%%},[4,13]%%%}+%%%{%%%{-735313920,[4]%%%},[4,12]%%%}+%%%{%%%{51904512,[5]%%%},[4,11]%%%}+%%%{%%%{684982272,[6]%%%},[4,10]%%%}+%%%{%%%{-751828992,[7]%%%},[4,9]%%%}+%%%{%%%{370409472,[8]%%%},[4,8]%%%}+%%%{%%%{-86507520,[9]%%%},[4,7]%%%}+%%%{%%%{7077888,[10]%%%},[4,6]%%%}+%%%{%%{[%%%{75497472,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,14]%%%}+%%%{%%{[%%%{-478150656,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,13]%%%}+%%%{%%{[%%%{1282932736,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,12]%%%}+%%%{%%{[%%%{-1884291072,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,11]%%%}+%%%{%%{[%%%{1627914240,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,10]%%%}+%%%{%%{[%%%{-819986432,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,9]%%%}+%%%{%%{[%%%{218628096,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8]%%%}+%%%{%%{[%%%{-22020096,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,7]%%%}+%%%{%%{[%%%{-524288,[10]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,6]%%%}+%%%{%%%{-50331648,[2]%%%},[2,15]%%%}+%%%{%%%{327155712,[3]%%%},[2,14]%%%}+%%%{%%%{-896532480,[4]%%%},[2,13]%%%}+%%%{%%%{1324351488,[5]%%%},[2,12]%%%}+%%%{%%%{-1097859072,[6]%%%},[2,11]%%%}+%%%{%%%{443547648,[7]%%%},[2,10]%%%}+%%%{%%%{3145728,[8]%%%},[2,9]%%%}+%%%{%%%{-78643200,[9]%%%},[2,8]%%%}+%%%{%%%{28311552,[10]%%%},[2,7]%%%}+%%%{%%%{-3145728,[11]%%%},[2,6]%%%}+%%%{%%{[%%%{-25165824,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,14]%%%}+%%%{%%{[%%%{163577856,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,13]%%%}+%%%{%%{[%%%{-454557696,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,12]%%%}+%%%{%%{[%%%{701497344,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,11]%%%}+%%%{%%{[%%%{-652738560,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,10]%%%}+%%%{%%{[%%%{371195904,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,9]%%%}+%%%{%%{[%%%{-124256256,[9]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8]%%%}+%%%{%%{[%%%{22020096,[10]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,7]%%%}+%%%{%%{[%%%{-1572864,[11]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6]%%%}+%%%{%%%{16777216,[3]%%%},[0,15]%%%}+%%%{%%%{-113246208,[4]%%%},[0,14]%%%}+%%%{%%%{330301440,[5]%%%},[0,13]%%%}+%%%{%%%{-543424512,[6]%%%},[0,12]%%%}+%%%{%%%{552075264,[7]%%%},[0,11]%%%}+%%%{%%%{-356253696,[8]%%%},[0,10]%%%}+%%%{%%%{144703488,[9]%%%},[0,9]%%%}+%%%{%%%{-35389440,[10]%%%},[0,8]%%%}+%%%{%%%{4718592,[11]%%%},[0,7]%%%}+%%%{%%%{-262144,[12]%%%},[0,6]%%%} / %%%{%%{poly1[%%%{-1,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[12,0]%%%}+%%%{%%%{-6,[2]%%%},[11,0]%%%}+%%%{%%{poly1[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,1]%%%}+%%%{%%{poly1[%%%{-12,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[10,0]%%%}+%%%{%%%{48,[2]%%%},[9,1]%%%}+%%%{%%%{-2,[3]%%%},[9,0]%%%}+%%%{%%{poly1[%%%{-48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,2]%%%}+%%%{%%{poly1[%%%{36,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,1]%%%}+%%%{%%{poly1[%%%{27,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,0]%%%}+%%%{%%%{-96,[2]%%%},[7,2]%%%}+%%%{%%%{-96,[3]%%%},[7,1]%%%}+%%%{%%%{36,[4]%%%},[7,0]%%%}+%%%{%%{poly1[%%%{64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3]%%%}+%%%{%%{poly1[%%%{96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2]%%%}+%%%{%%{poly1[%%%{-168,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,1]%%%}+%%%{%%%{288,[3]%%%},[5,2]%%%}+%%%{%%%{-36,[5]%%%},[5,0]%%%}+%%%{%%{poly1[%%%{-192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3]%%%}+%%%{%%{poly1[%%%{168,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,1]%%%}+%%%{%%{poly1[%%%{-27,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,0]%%%}+%%%{%%%{-288,[4]%%%},[3,2]%%%}+%%%{%%%{96,[5]%%%},[3,1]%%%}+%%%{%%%{2,[6]%%%},[3,0]%%%}+%%%{%%{poly1[%%%{192,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3]%%%}+%%%{%%{poly1[%%%{-96,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2]%%%}+%%%{%%{poly1[%%%{-36,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,1]%%%}+%%%{%%{poly1[%%%{12,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,0]%%%}+%%%{%%%{96,[5]%%%},[1,2]%%%}+%%%{%%%{-48,[6]%%%},[1,1]%%%}+%%%{%%%{6,[7]%%%},[1,0]%%%}+%%%{%%{poly1[%%%{-64,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3]%%%}+%%%{%%{poly1[%%%{48,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2]%%%}+%%%{%%{poly1[%%%{-12,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,1]%%%}+%%%{%%{poly1[%%%{1,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
110,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*sin(f*x + e)^4, x)","F",0
111,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*sin(f*x + e)^2, x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^2, x)","F",0
114,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^4, x)","F",0
115,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*csc(f*x + e)^6, x)","F",0
116,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*tan(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*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7-640*sqrt(a)*a*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6+960*sqrt(a)*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6+832*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-768*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5+896*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-2880*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+2560*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4-3840*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+7040*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-3520*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+320*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+2560*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-3840*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-3200*sqrt(a)*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+4160*sqrt(a)*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-768*sqrt(a)*a^4-2048*sqrt(a)*a^2*b^2+2496*sqrt(a)*a^3*b)/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b)^5/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
117,-1,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*tan(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)sqrt(b)/(a*abs(f)-b*abs(f))*sign(cos(f*x+exp(1)))*sign(f)+sqrt(a*f^2*(-cos(f*x+exp(1))/f)^2-b*f^2*(-cos(f*x+exp(1))/f)^2+b)/(-a*abs(f)*sign(cos(f*x+exp(1)))*sign(f)+b*abs(f)*sign(cos(f*x+exp(1)))*sign(f))","F(-2)",0
119,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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: 2.43Error: Bad Argument Type","F(-2)",0
120,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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: 3.42Unable to divide, perhaps due to rounding error%%%{1,[4,0]%%%}+%%%{%%%{-2,[1]%%%},[2,0]%%%}+%%%{%%%{1,[2]%%%},[0,0]%%%} / %%%{%%%{1,[1]%%%},[4,0]%%%}+%%%{%%%{-2,[2]%%%},[2,0]%%%}+%%%{%%%{1,[3]%%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
121,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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*(1/4*tan((f*x+exp(1))/2)^2/a-1/8*(-18*a+12*b)/a^2)*sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(-(-6*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-10*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+16*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+4*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+6*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-12*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+3*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-5*sqrt(a)*a^3+4*sqrt(a)*a^2*b)/a^2/(-(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+a)^2-(3*sqrt(a)*a^2+3*sqrt(a)*b^2-6*sqrt(a)*a*b)*ln(abs(a*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+sqrt(a)*a-2*sqrt(a)*b))/a^3+1/2*(-12*a^2-12*b^2+24*a*b)*atan((-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/sqrt(-a))/a^2/sqrt(-a)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
122,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
123,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
124,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
125,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
126,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
127,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
128,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*tan(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)2/f*(2*(-(-4*a^2*b^5*sign(tan((f*x+exp(1))/2)^2-1)+12*a^3*b^4*sign(tan((f*x+exp(1))/2)^2-1)-12*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))/(16*b^8-112*a*b^7+336*a^2*b^6-560*a^3*b^5+560*a^4*b^4-336*a^5*b^3+112*a^6*b^2-16*a^7*b)-tan((f*x+exp(1))/2)^2*(-4*a^2*b^5*sign(tan((f*x+exp(1))/2)^2-1)+12*a^3*b^4*sign(tan((f*x+exp(1))/2)^2-1)-12*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))/(16*b^8-112*a*b^7+336*a^2*b^6-560*a^3*b^5+560*a^4*b^4-336*a^5*b^3+112*a^6*b^2-16*a^7*b))/sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(15*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^9+60*sqrt(a)*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^8-165*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^8+320*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7-80*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7+480*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7-420*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^7+640*sqrt(a)*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6-160*sqrt(a)*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6-900*sqrt(a)*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^6-832*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5+128*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-272*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5+1728*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5-542*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^5+2880*a^6*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-2560*sqrt(a)*a^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+7680*a*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-31360*a^2*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+39120*a^3*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-13440*a^4*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-4985*a^5*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+2240*sqrt(a)*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4-8480*sqrt(a)*a*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+5880*sqrt(a)*a^2*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4+3130*sqrt(a)*a^3*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^4-320*a^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-1280*b^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+7680*a*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-8560*a^2*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-2080*a^3*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+4140*a^4*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+3200*sqrt(a)*a^5*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-8320*sqrt(a)*a*b^4*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+23200*sqrt(a)*a^2*b^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-15840*sqrt(a)*a^3*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-1940*sqrt(a)*a^4*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+768*sqrt(a)*a^6+6400*sqrt(a)*a*b^5-17472*sqrt(a)*a^2*b^4+15648*sqrt(a)*a^3*b^3-3412*sqrt(a)*a^4*b^2-1917*sqrt(a)*a^5*b)/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b)^5/(-15*a^3*sign(tan((f*x+exp(1))/2)^2-1)+15*b^3*sign(tan((f*x+exp(1))/2)^2-1)-45*a*b^2*sign(tan((f*x+exp(1))/2)^2-1)+45*a^2*b*sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
129,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{3}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^3/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
130,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*tan(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)2/f*2*(2*(-(-8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+8*a*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(64*b^4-192*a*b^3+192*a^2*b^2-64*a^3*b)-tan((f*x+exp(1))/2)^2*(-8*b^3*sign(tan((f*x+exp(1))/2)^2-1)+8*a*b^2*sign(tan((f*x+exp(1))/2)^2-1))/(64*b^4-192*a*b^3+192*a^2*b^2-64*a^3*b))/sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/(-2*a*sign(tan((f*x+exp(1))/2)^2-1)+2*b*sign(tan((f*x+exp(1))/2)^2-1))/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b))","F(-2)",0
131,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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: 3.85Error: Bad Argument Type","F(-2)",0
132,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 were not checkedUnable 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: 5.61index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
133,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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)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^7*b^2+536870912*a^8*b)/(137438953472*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))-(5368709120*a^6*b^3-9126805504*a^7*b^2+3758096384*a^8*b)/(137438953472*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)))-(64424509440*a^5*b^4-133143986176*a^6*b^3+77846282240*a^7*b^2-9126805504*a^8*b)/(137438953472*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)))-(34359738368*a^5*b^4-61203283968*a^6*b^3+22011707392*a^7*b^2+4831838208*a^8*b)/(137438953472*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)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(-1/64*(-6*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-18*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+20*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+4*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+14*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-16*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+3*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-4*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-5*sqrt(a)*a^3+8*sqrt(a)*a^2*b)/a^3/(-(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+a)^2/sign(tan((f*x+exp(1))/2)^2-1)-1/32*(3*a^2+15*b^2-18*a*b)*atan((-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/sqrt(-a))/a^3/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1)-1/64*(3*sqrt(a)*a^2+15*sqrt(a)*b^2-18*sqrt(a)*a*b)*ln(abs(a*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+sqrt(a)*a-2*sqrt(a)*b))/a^4/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
134,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
135,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(-3/2), x)","F",0
137,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
138,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
139,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
140,-1,0,0,0.000000," ","integrate(sin(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{3}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^3/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
142,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(a+b*tan(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)2/f*2*(2*(tan((f*x+exp(1))/2)^2*(tan((f*x+exp(1))/2)^2*(-tan((f*x+exp(1))/2)^2*(-1536*b^11*sign(tan((f*x+exp(1))/2)^2-1)+19968*a*b^10*sign(tan((f*x+exp(1))/2)^2-1)-96768*a^2*b^9*sign(tan((f*x+exp(1))/2)^2-1)+247296*a^3*b^8*sign(tan((f*x+exp(1))/2)^2-1)-376320*a^4*b^7*sign(tan((f*x+exp(1))/2)^2-1)+354816*a^5*b^6*sign(tan((f*x+exp(1))/2)^2-1)-204288*a^6*b^5*sign(tan((f*x+exp(1))/2)^2-1)+66048*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))/(36864*b^12-368640*a*b^11+1658880*a^2*b^10-4423680*a^3*b^9+7741440*a^4*b^8-9289728*a^5*b^7+7741440*a^6*b^6-4423680*a^7*b^5+1658880*a^8*b^4-368640*a^9*b^3+36864*a^10*b^2)-(32256*b^11*sign(tan((f*x+exp(1))/2)^2-1)-235008*a*b^10*sign(tan((f*x+exp(1))/2)^2-1)+741888*a^2*b^9*sign(tan((f*x+exp(1))/2)^2-1)-1322496*a^3*b^8*sign(tan((f*x+exp(1))/2)^2-1)+1451520*a^4*b^7*sign(tan((f*x+exp(1))/2)^2-1)-999936*a^5*b^6*sign(tan((f*x+exp(1))/2)^2-1)+419328*a^6*b^5*sign(tan((f*x+exp(1))/2)^2-1)-96768*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))/(36864*b^12-368640*a*b^11+1658880*a^2*b^10-4423680*a^3*b^9+7741440*a^4*b^8-9289728*a^5*b^7+7741440*a^6*b^6-4423680*a^7*b^5+1658880*a^8*b^4-368640*a^9*b^3+36864*a^10*b^2))-(32256*b^11*sign(tan((f*x+exp(1))/2)^2-1)-235008*a*b^10*sign(tan((f*x+exp(1))/2)^2-1)+741888*a^2*b^9*sign(tan((f*x+exp(1))/2)^2-1)-1322496*a^3*b^8*sign(tan((f*x+exp(1))/2)^2-1)+1451520*a^4*b^7*sign(tan((f*x+exp(1))/2)^2-1)-999936*a^5*b^6*sign(tan((f*x+exp(1))/2)^2-1)+419328*a^6*b^5*sign(tan((f*x+exp(1))/2)^2-1)-96768*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))/(36864*b^12-368640*a*b^11+1658880*a^2*b^10-4423680*a^3*b^9+7741440*a^4*b^8-9289728*a^5*b^7+7741440*a^6*b^6-4423680*a^7*b^5+1658880*a^8*b^4-368640*a^9*b^3+36864*a^10*b^2))-(-1536*b^11*sign(tan((f*x+exp(1))/2)^2-1)+19968*a*b^10*sign(tan((f*x+exp(1))/2)^2-1)-96768*a^2*b^9*sign(tan((f*x+exp(1))/2)^2-1)+247296*a^3*b^8*sign(tan((f*x+exp(1))/2)^2-1)-376320*a^4*b^7*sign(tan((f*x+exp(1))/2)^2-1)+354816*a^5*b^6*sign(tan((f*x+exp(1))/2)^2-1)-204288*a^6*b^5*sign(tan((f*x+exp(1))/2)^2-1)+66048*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))/(36864*b^12-368640*a*b^11+1658880*a^2*b^10-4423680*a^3*b^9+7741440*a^4*b^8-9289728*a^5*b^7+7741440*a^6*b^6-4423680*a^7*b^5+1658880*a^8*b^4-368640*a^9*b^3+36864*a^10*b^2))/sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(sqrt(a)*tan((f*x+exp(1))/2)^2-sqrt(a)-sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/(2*a^2*sign(tan((f*x+exp(1))/2)^2-1)+2*b^2*sign(tan((f*x+exp(1))/2)^2-1)-4*a*b*sign(tan((f*x+exp(1))/2)^2-1))/(-2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-3*a+4*b))","F(-2)",0
143,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/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: 6.3Error: Bad Argument Type","F(-2)",0
144,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[85,53]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-33,71]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/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: 9.68index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
145,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(a+b*tan(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)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^15*b^4-79164837199872*a^16*b^3+39582418599936*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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))-(-554153860399104*a^14*b^5+1306219813797888*a^15*b^4-949978046398464*a^16*b^3+197912092999680*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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)))-(-14777436277309440*a^13*b^6+40321290413801472*a^14*b^5-37497744553672704*a^15*b^4+13141362975178752*a^16*b^3-1187472557998080*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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)))-(-44332308831928320*a^12*b^7+133630245193383936*a^13*b^6-149938201656557568*a^14*b^5+78294023990673408*a^15*b^4-19632879625568256*a^16*b^3+1979120929996800*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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)))-(-30399297484750848*a^12*b^7+79164837199872000*a^13*b^6-65865144550293504*a^14*b^5+14447582788976640*a^15*b^4+4037406697193472*a^16*b^3-1385384650997760*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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)))-(-8444249301319680*a^13*b^6+21084234974232576*a^14*b^5-16479480277106688*a^15*b^4+3483252836794368*a^16*b^3+356241767399424*a^17*b^2)/(-10133099161583616*a^16*b^4*sign(tan((f*x+exp(1))/2)^2-1)+20266198323167232*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)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a)+2*(-1/64*(-6*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))-26*a*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+24*a^2*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+4*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+22*b^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3-20*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^3+3*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-8*sqrt(a)*a*b*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2-5*sqrt(a)*a^3+12*sqrt(a)*a^2*b)/a^4/(-(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))^2+a)^2/sign(tan((f*x+exp(1))/2)^2-1)-1/32*(3*a^2+35*b^2-30*a*b)*atan((-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))/sqrt(-a))/a^4/sqrt(-a)/sign(tan((f*x+exp(1))/2)^2-1)-1/64*(3*sqrt(a)*a^2+35*sqrt(a)*b^2-30*sqrt(a)*a*b)*ln(abs(a*(-sqrt(a)*tan((f*x+exp(1))/2)^2+sqrt(a*tan((f*x+exp(1))/2)^4-2*a*tan((f*x+exp(1))/2)^2+4*b*tan((f*x+exp(1))/2)^2+a))+sqrt(a)*a-2*sqrt(a)*b))/a^5/sign(tan((f*x+exp(1))/2)^2-1)))","F(-2)",0
146,-1,0,0,0.000000," ","integrate(sin(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
148,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(-5/2), x)","F",0
149,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
150,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
151,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
152,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*sin(f*x + e))^m, x)","F",0
153,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*sin(f*x + e))^m, x)","F",0
154,0,0,0,0.000000," ","integrate(sin(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*sin(f*x + e)^5, x)","F",0
155,0,0,0,0.000000," ","integrate(sin(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*sin(f*x + e)^3, x)","F",0
156,0,0,0,0.000000," ","integrate(sin(f*x+e)*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*sin(f*x + e), x)","F",0
157,0,0,0,0.000000," ","integrate(csc(f*x+e)*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*csc(f*x + e), x)","F",0
158,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*csc(f*x + e)^3, x)","F",0
159,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*sin(f*x + e)^2, x)","F",0
160,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p, x)","F",0
161,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*csc(f*x + e)^2, x)","F",0
162,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*csc(f*x + e)^4, x)","F",0
163,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*csc(f*x + e)^6, x)","F",0
164,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*sin(f*x + e))^m, x)","F",0
165,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*sin(f*x + e)^2, x)","F",0
166,0,0,0,0.000000," ","integrate((b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p, x)","F",0
167,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*csc(f*x + e)^2, x)","F",0
168,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*csc(f*x + e)^4, x)","F",0
169,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*csc(f*x + e)^6, x)","F",0
170,0,0,0,0.000000," ","integrate(sin(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*sin(f*x + e)^3, x)","F",0
171,0,0,0,0.000000," ","integrate(sin(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*sin(f*x + e), x)","F",0
172,0,0,0,0.000000," ","integrate(csc(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*csc(f*x + e), x)","F",0
173,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*csc(f*x + e)^3, x)","F",0
174,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^m*(a+b*tan(f*x+e)^n)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{n} + a\right)}^{p} \left(d \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^n + a)^p*(d*sin(f*x + e))^m, x)","F",0
175,0,0,0,0.000000," ","integrate((d*cos(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \cos\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*cos(f*x + e))^m, x)","F",0
176,0,0,0,0.000000," ","integrate((d*cos(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \cos\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*cos(f*x + e))^m, x)","F",0
177,0,0,0,0.000000," ","integrate((d*cos(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \cos\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*cos(f*x + e))^m, x)","F",0
178,-1,0,0,0.000000," ","integrate((d*cos(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,1,519,0,20.739513," ","integrate((a+a*tan(d*x+c)^2)^4,x, algorithm=""giac"")","-\frac{35 \, a^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{6} + 35 \, a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 35 \, a^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{4} - 105 \, a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 105 \, a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} + 35 \, a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{7} + 21 \, a^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{2} - 35 \, a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} + 315 \, a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 315 \, a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 35 \, a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} + 21 \, a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{7} + 5 \, a^{4} \tan\left(d x\right)^{7} - 7 \, a^{4} \tan\left(d x\right)^{6} \tan\left(c\right) + 105 \, a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 315 \, a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 315 \, a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 105 \, a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 7 \, a^{4} \tan\left(d x\right) \tan\left(c\right)^{6} + 5 \, a^{4} \tan\left(c\right)^{7} + 21 \, a^{4} \tan\left(d x\right)^{5} - 35 \, a^{4} \tan\left(d x\right)^{4} \tan\left(c\right) + 315 \, a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 315 \, a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 35 \, a^{4} \tan\left(d x\right) \tan\left(c\right)^{4} + 21 \, a^{4} \tan\left(c\right)^{5} + 35 \, a^{4} \tan\left(d x\right)^{3} - 105 \, a^{4} \tan\left(d x\right)^{2} \tan\left(c\right) - 105 \, a^{4} \tan\left(d x\right) \tan\left(c\right)^{2} + 35 \, a^{4} \tan\left(c\right)^{3} + 35 \, a^{4} \tan\left(d x\right) + 35 \, a^{4} \tan\left(c\right)}{35 \, {\left(d \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 7 \, d \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 21 \, d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 35 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 35 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 21 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 7 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/35*(35*a^4*tan(d*x)^7*tan(c)^6 + 35*a^4*tan(d*x)^6*tan(c)^7 + 35*a^4*tan(d*x)^7*tan(c)^4 - 105*a^4*tan(d*x)^6*tan(c)^5 - 105*a^4*tan(d*x)^5*tan(c)^6 + 35*a^4*tan(d*x)^4*tan(c)^7 + 21*a^4*tan(d*x)^7*tan(c)^2 - 35*a^4*tan(d*x)^6*tan(c)^3 + 315*a^4*tan(d*x)^5*tan(c)^4 + 315*a^4*tan(d*x)^4*tan(c)^5 - 35*a^4*tan(d*x)^3*tan(c)^6 + 21*a^4*tan(d*x)^2*tan(c)^7 + 5*a^4*tan(d*x)^7 - 7*a^4*tan(d*x)^6*tan(c) + 105*a^4*tan(d*x)^5*tan(c)^2 - 315*a^4*tan(d*x)^4*tan(c)^3 - 315*a^4*tan(d*x)^3*tan(c)^4 + 105*a^4*tan(d*x)^2*tan(c)^5 - 7*a^4*tan(d*x)*tan(c)^6 + 5*a^4*tan(c)^7 + 21*a^4*tan(d*x)^5 - 35*a^4*tan(d*x)^4*tan(c) + 315*a^4*tan(d*x)^3*tan(c)^2 + 315*a^4*tan(d*x)^2*tan(c)^3 - 35*a^4*tan(d*x)*tan(c)^4 + 21*a^4*tan(c)^5 + 35*a^4*tan(d*x)^3 - 105*a^4*tan(d*x)^2*tan(c) - 105*a^4*tan(d*x)*tan(c)^2 + 35*a^4*tan(c)^3 + 35*a^4*tan(d*x) + 35*a^4*tan(c))/(d*tan(d*x)^7*tan(c)^7 - 7*d*tan(d*x)^6*tan(c)^6 + 21*d*tan(d*x)^5*tan(c)^5 - 35*d*tan(d*x)^4*tan(c)^4 + 35*d*tan(d*x)^3*tan(c)^3 - 21*d*tan(d*x)^2*tan(c)^2 + 7*d*tan(d*x)*tan(c) - d)","B",0
180,1,297,0,7.949818," ","integrate((a+a*tan(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{15 \, a^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 15 \, a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 10 \, a^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 30 \, a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 30 \, a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 10 \, a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 3 \, a^{3} \tan\left(d x\right)^{5} - 5 \, a^{3} \tan\left(d x\right)^{4} \tan\left(c\right) + 60 \, a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 60 \, a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 5 \, a^{3} \tan\left(d x\right) \tan\left(c\right)^{4} + 3 \, a^{3} \tan\left(c\right)^{5} + 10 \, a^{3} \tan\left(d x\right)^{3} - 30 \, a^{3} \tan\left(d x\right)^{2} \tan\left(c\right) - 30 \, a^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 10 \, a^{3} \tan\left(c\right)^{3} + 15 \, a^{3} \tan\left(d x\right) + 15 \, a^{3} \tan\left(c\right)}{15 \, {\left(d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 5 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 10 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 10 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 5 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/15*(15*a^3*tan(d*x)^5*tan(c)^4 + 15*a^3*tan(d*x)^4*tan(c)^5 + 10*a^3*tan(d*x)^5*tan(c)^2 - 30*a^3*tan(d*x)^4*tan(c)^3 - 30*a^3*tan(d*x)^3*tan(c)^4 + 10*a^3*tan(d*x)^2*tan(c)^5 + 3*a^3*tan(d*x)^5 - 5*a^3*tan(d*x)^4*tan(c) + 60*a^3*tan(d*x)^3*tan(c)^2 + 60*a^3*tan(d*x)^2*tan(c)^3 - 5*a^3*tan(d*x)*tan(c)^4 + 3*a^3*tan(c)^5 + 10*a^3*tan(d*x)^3 - 30*a^3*tan(d*x)^2*tan(c) - 30*a^3*tan(d*x)*tan(c)^2 + 10*a^3*tan(c)^3 + 15*a^3*tan(d*x) + 15*a^3*tan(c))/(d*tan(d*x)^5*tan(c)^5 - 5*d*tan(d*x)^4*tan(c)^4 + 10*d*tan(d*x)^3*tan(c)^3 - 10*d*tan(d*x)^2*tan(c)^2 + 5*d*tan(d*x)*tan(c) - d)","B",0
181,1,133,0,1.383415," ","integrate((a+a*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{3 \, a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 3 \, a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + a^{2} \tan\left(d x\right)^{3} - 3 \, a^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 3 \, a^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + a^{2} \tan\left(c\right)^{3} + 3 \, a^{2} \tan\left(d x\right) + 3 \, a^{2} \tan\left(c\right)}{3 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/3*(3*a^2*tan(d*x)^3*tan(c)^2 + 3*a^2*tan(d*x)^2*tan(c)^3 + a^2*tan(d*x)^3 - 3*a^2*tan(d*x)^2*tan(c) - 3*a^2*tan(d*x)*tan(c)^2 + a^2*tan(c)^3 + 3*a^2*tan(d*x) + 3*a^2*tan(c))/(d*tan(d*x)^3*tan(c)^3 - 3*d*tan(d*x)^2*tan(c)^2 + 3*d*tan(d*x)*tan(c) - d)","B",0
182,1,37,0,1.084072," ","integrate(1/(a+a*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} + \frac{\tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)} a}}{2 \, d}"," ",0,"1/2*((d*x + c)/a + tan(d*x + c)/((tan(d*x + c)^2 + 1)*a))/d","A",0
183,1,51,0,1.373754," ","integrate(1/(a+a*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(d x + c\right)}}{a^{2}} + \frac{3 \, \tan\left(d x + c\right)^{3} + 5 \, \tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)}^{2} a^{2}}}{8 \, d}"," ",0,"1/8*(3*(d*x + c)/a^2 + (3*tan(d*x + c)^3 + 5*tan(d*x + c))/((tan(d*x + c)^2 + 1)^2*a^2))/d","A",0
184,1,61,0,1.629799," ","integrate(1/(a+a*tan(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(d x + c\right)}}{a^{3}} + \frac{15 \, \tan\left(d x + c\right)^{5} + 40 \, \tan\left(d x + c\right)^{3} + 33 \, \tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)}^{3} a^{3}}}{48 \, d}"," ",0,"1/48*(15*(d*x + c)/a^3 + (15*tan(d*x + c)^5 + 40*tan(d*x + c)^3 + 33*tan(d*x + c))/((tan(d*x + c)^2 + 1)^3*a^3))/d","A",0
185,1,1719,0,49.425354," ","integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{6 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 6 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 9 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 11 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 36 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 36 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 6 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{4} - 6 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{4} - 42 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 54 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 6 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{6} - 6 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{6} + 90 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 90 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 3 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{2} + 3 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{2} - 36 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{3} + 36 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{3} + 69 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 99 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 36 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{5} + 36 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{5} - 3 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{6} + 3 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{6} - 120 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 120 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 2 \, b \tan\left(f x\right)^{6} + 6 \, a \tan\left(f x\right)^{5} \tan\left(e\right) - 18 \, b \tan\left(f x\right)^{5} \tan\left(e\right) + 60 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 90 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 72 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 72 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 60 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 90 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 6 \, a \tan\left(f x\right) \tan\left(e\right)^{5} - 18 \, b \tan\left(f x\right) \tan\left(e\right)^{5} - 2 \, b \tan\left(e\right)^{6} + 90 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 90 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 3 \, a \tan\left(f x\right)^{4} + 3 \, b \tan\left(f x\right)^{4} - 36 \, a \tan\left(f x\right)^{3} \tan\left(e\right) + 36 \, b \tan\left(f x\right)^{3} \tan\left(e\right) + 69 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 99 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 36 \, a \tan\left(f x\right) \tan\left(e\right)^{3} + 36 \, b \tan\left(f x\right) \tan\left(e\right)^{3} - 3 \, a \tan\left(e\right)^{4} + 3 \, b \tan\left(e\right)^{4} - 36 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 36 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 6 \, a \tan\left(f x\right)^{2} - 6 \, b \tan\left(f x\right)^{2} - 42 \, a \tan\left(f x\right) \tan\left(e\right) + 54 \, b \tan\left(f x\right) \tan\left(e\right) + 6 \, a \tan\left(e\right)^{2} - 6 \, b \tan\left(e\right)^{2} + 6 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - 6 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) + 9 \, a - 11 \, b}{12 \, {\left(f \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 6 \, f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 15 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 20 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 15 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 6 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"-1/12*(6*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^6*tan(e)^6 - 6*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^6*tan(e)^6 + 9*a*tan(f*x)^6*tan(e)^6 - 11*b*tan(f*x)^6*tan(e)^6 - 36*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^5*tan(e)^5 + 36*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^5*tan(e)^5 + 6*a*tan(f*x)^6*tan(e)^4 - 6*b*tan(f*x)^6*tan(e)^4 - 42*a*tan(f*x)^5*tan(e)^5 + 54*b*tan(f*x)^5*tan(e)^5 + 6*a*tan(f*x)^4*tan(e)^6 - 6*b*tan(f*x)^4*tan(e)^6 + 90*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 90*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 3*a*tan(f*x)^6*tan(e)^2 + 3*b*tan(f*x)^6*tan(e)^2 - 36*a*tan(f*x)^5*tan(e)^3 + 36*b*tan(f*x)^5*tan(e)^3 + 69*a*tan(f*x)^4*tan(e)^4 - 99*b*tan(f*x)^4*tan(e)^4 - 36*a*tan(f*x)^3*tan(e)^5 + 36*b*tan(f*x)^3*tan(e)^5 - 3*a*tan(f*x)^2*tan(e)^6 + 3*b*tan(f*x)^2*tan(e)^6 - 120*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 120*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 - 2*b*tan(f*x)^6 + 6*a*tan(f*x)^5*tan(e) - 18*b*tan(f*x)^5*tan(e) + 60*a*tan(f*x)^4*tan(e)^2 - 90*b*tan(f*x)^4*tan(e)^2 - 72*a*tan(f*x)^3*tan(e)^3 + 72*b*tan(f*x)^3*tan(e)^3 + 60*a*tan(f*x)^2*tan(e)^4 - 90*b*tan(f*x)^2*tan(e)^4 + 6*a*tan(f*x)*tan(e)^5 - 18*b*tan(f*x)*tan(e)^5 - 2*b*tan(e)^6 + 90*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - 90*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - 3*a*tan(f*x)^4 + 3*b*tan(f*x)^4 - 36*a*tan(f*x)^3*tan(e) + 36*b*tan(f*x)^3*tan(e) + 69*a*tan(f*x)^2*tan(e)^2 - 99*b*tan(f*x)^2*tan(e)^2 - 36*a*tan(f*x)*tan(e)^3 + 36*b*tan(f*x)*tan(e)^3 - 3*a*tan(e)^4 + 3*b*tan(e)^4 - 36*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 36*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 6*a*tan(f*x)^2 - 6*b*tan(f*x)^2 - 42*a*tan(f*x)*tan(e) + 54*b*tan(f*x)*tan(e) + 6*a*tan(e)^2 - 6*b*tan(e)^2 + 6*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - 6*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) + 9*a - 11*b)/(f*tan(f*x)^6*tan(e)^6 - 6*f*tan(f*x)^5*tan(e)^5 + 15*f*tan(f*x)^4*tan(e)^4 - 20*f*tan(f*x)^3*tan(e)^3 + 15*f*tan(f*x)^2*tan(e)^2 - 6*f*tan(f*x)*tan(e) + f)","B",0
186,1,1071,0,9.920013," ","integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{2 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 2 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 2 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 3 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 8 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 8 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 2 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 4 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 8 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 2 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 2 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 12 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 12 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + b \tan\left(f x\right)^{4} - 4 \, a \tan\left(f x\right)^{3} \tan\left(e\right) + 8 \, b \tan\left(f x\right)^{3} \tan\left(e\right) + 4 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 4 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 4 \, a \tan\left(f x\right) \tan\left(e\right)^{3} + 8 \, b \tan\left(f x\right) \tan\left(e\right)^{3} + b \tan\left(e\right)^{4} - 8 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 8 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 2 \, a \tan\left(f x\right)^{2} - 2 \, b \tan\left(f x\right)^{2} - 4 \, a \tan\left(f x\right) \tan\left(e\right) + 8 \, b \tan\left(f x\right) \tan\left(e\right) + 2 \, a \tan\left(e\right)^{2} - 2 \, b \tan\left(e\right)^{2} + 2 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - 2 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) + 2 \, a - 3 \, b}{4 \, {\left(f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 4 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 6 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 4 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"1/4*(2*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 2*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 + 2*a*tan(f*x)^4*tan(e)^4 - 3*b*tan(f*x)^4*tan(e)^4 - 8*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 8*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 2*a*tan(f*x)^4*tan(e)^2 - 2*b*tan(f*x)^4*tan(e)^2 - 4*a*tan(f*x)^3*tan(e)^3 + 8*b*tan(f*x)^3*tan(e)^3 + 2*a*tan(f*x)^2*tan(e)^4 - 2*b*tan(f*x)^2*tan(e)^4 + 12*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - 12*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 + b*tan(f*x)^4 - 4*a*tan(f*x)^3*tan(e) + 8*b*tan(f*x)^3*tan(e) + 4*a*tan(f*x)^2*tan(e)^2 - 4*b*tan(f*x)^2*tan(e)^2 - 4*a*tan(f*x)*tan(e)^3 + 8*b*tan(f*x)*tan(e)^3 + b*tan(e)^4 - 8*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 8*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 2*a*tan(f*x)^2 - 2*b*tan(f*x)^2 - 4*a*tan(f*x)*tan(e) + 8*b*tan(f*x)*tan(e) + 2*a*tan(e)^2 - 2*b*tan(e)^2 + 2*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - 2*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) + 2*a - 3*b)/(f*tan(f*x)^4*tan(e)^4 - 4*f*tan(f*x)^3*tan(e)^3 + 6*f*tan(f*x)^2*tan(e)^2 - 4*f*tan(f*x)*tan(e) + f)","B",0
187,1,500,0,2.586312," ","integrate(tan(f*x+e)*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - b \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 2 \, a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 2 \, b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) - b \tan\left(f x\right)^{2} - b \tan\left(e\right)^{2} + a \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - b}{2 \, {\left(f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 2 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"-1/2*(a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - b*tan(f*x)^2*tan(e)^2 - 2*a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 2*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) - b*tan(f*x)^2 - b*tan(e)^2 + a*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - b)/(f*tan(f*x)^2*tan(e)^2 - 2*f*tan(f*x)*tan(e) + f)","B",0
188,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*tan(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)1/f*(a/2*ln(sin(f*x+exp(1))^2)-b/2*ln(abs(sin(f*x+exp(1))^2-1)))","F(-2)",0
189,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*tan(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)))*a/16+(4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/16/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(a-b)/2*ln(abs((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
190,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*tan(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*a+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b)/4096+(-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a+48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-a+b)/2*ln(abs((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
191,1,1087,0,86.830076," ","integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{105 \, a f x \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 105 \, b f x \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 735 \, a f x \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 735 \, b f x \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 105 \, a \tan\left(f x\right)^{7} \tan\left(e\right)^{6} - 105 \, b \tan\left(f x\right)^{7} \tan\left(e\right)^{6} + 105 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{7} - 105 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{7} + 2205 \, a f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 2205 \, b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 35 \, a \tan\left(f x\right)^{7} \tan\left(e\right)^{4} + 35 \, b \tan\left(f x\right)^{7} \tan\left(e\right)^{4} - 735 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{5} + 735 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{5} - 735 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{6} + 735 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{6} - 35 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{7} + 35 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{7} - 3675 \, a f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 3675 \, b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 21 \, a \tan\left(f x\right)^{7} \tan\left(e\right)^{2} - 21 \, b \tan\left(f x\right)^{7} \tan\left(e\right)^{2} + 245 \, a \tan\left(f x\right)^{6} \tan\left(e\right)^{3} - 245 \, b \tan\left(f x\right)^{6} \tan\left(e\right)^{3} + 2205 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{4} - 2205 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 2205 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 2205 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 245 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{6} - 245 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{6} + 21 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{7} - 21 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{7} + 3675 \, a f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3675 \, b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 15 \, b \tan\left(f x\right)^{7} - 42 \, a \tan\left(f x\right)^{6} \tan\left(e\right) + 147 \, b \tan\left(f x\right)^{6} \tan\left(e\right) - 420 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{2} + 735 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 3150 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{3} + 3675 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 3150 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 3675 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 420 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 735 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 42 \, a \tan\left(f x\right) \tan\left(e\right)^{6} + 147 \, b \tan\left(f x\right) \tan\left(e\right)^{6} + 15 \, b \tan\left(e\right)^{7} - 2205 \, a f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 2205 \, b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 21 \, a \tan\left(f x\right)^{5} - 21 \, b \tan\left(f x\right)^{5} + 245 \, a \tan\left(f x\right)^{4} \tan\left(e\right) - 245 \, b \tan\left(f x\right)^{4} \tan\left(e\right) + 2205 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 2205 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 2205 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 2205 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 245 \, a \tan\left(f x\right) \tan\left(e\right)^{4} - 245 \, b \tan\left(f x\right) \tan\left(e\right)^{4} + 21 \, a \tan\left(e\right)^{5} - 21 \, b \tan\left(e\right)^{5} + 735 \, a f x \tan\left(f x\right) \tan\left(e\right) - 735 \, b f x \tan\left(f x\right) \tan\left(e\right) - 35 \, a \tan\left(f x\right)^{3} + 35 \, b \tan\left(f x\right)^{3} - 735 \, a \tan\left(f x\right)^{2} \tan\left(e\right) + 735 \, b \tan\left(f x\right)^{2} \tan\left(e\right) - 735 \, a \tan\left(f x\right) \tan\left(e\right)^{2} + 735 \, b \tan\left(f x\right) \tan\left(e\right)^{2} - 35 \, a \tan\left(e\right)^{3} + 35 \, b \tan\left(e\right)^{3} - 105 \, a f x + 105 \, b f x + 105 \, a \tan\left(f x\right) - 105 \, b \tan\left(f x\right) + 105 \, a \tan\left(e\right) - 105 \, b \tan\left(e\right)}{105 \, {\left(f \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 7 \, f \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 21 \, f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 35 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 35 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 21 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 7 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"-1/105*(105*a*f*x*tan(f*x)^7*tan(e)^7 - 105*b*f*x*tan(f*x)^7*tan(e)^7 - 735*a*f*x*tan(f*x)^6*tan(e)^6 + 735*b*f*x*tan(f*x)^6*tan(e)^6 + 105*a*tan(f*x)^7*tan(e)^6 - 105*b*tan(f*x)^7*tan(e)^6 + 105*a*tan(f*x)^6*tan(e)^7 - 105*b*tan(f*x)^6*tan(e)^7 + 2205*a*f*x*tan(f*x)^5*tan(e)^5 - 2205*b*f*x*tan(f*x)^5*tan(e)^5 - 35*a*tan(f*x)^7*tan(e)^4 + 35*b*tan(f*x)^7*tan(e)^4 - 735*a*tan(f*x)^6*tan(e)^5 + 735*b*tan(f*x)^6*tan(e)^5 - 735*a*tan(f*x)^5*tan(e)^6 + 735*b*tan(f*x)^5*tan(e)^6 - 35*a*tan(f*x)^4*tan(e)^7 + 35*b*tan(f*x)^4*tan(e)^7 - 3675*a*f*x*tan(f*x)^4*tan(e)^4 + 3675*b*f*x*tan(f*x)^4*tan(e)^4 + 21*a*tan(f*x)^7*tan(e)^2 - 21*b*tan(f*x)^7*tan(e)^2 + 245*a*tan(f*x)^6*tan(e)^3 - 245*b*tan(f*x)^6*tan(e)^3 + 2205*a*tan(f*x)^5*tan(e)^4 - 2205*b*tan(f*x)^5*tan(e)^4 + 2205*a*tan(f*x)^4*tan(e)^5 - 2205*b*tan(f*x)^4*tan(e)^5 + 245*a*tan(f*x)^3*tan(e)^6 - 245*b*tan(f*x)^3*tan(e)^6 + 21*a*tan(f*x)^2*tan(e)^7 - 21*b*tan(f*x)^2*tan(e)^7 + 3675*a*f*x*tan(f*x)^3*tan(e)^3 - 3675*b*f*x*tan(f*x)^3*tan(e)^3 + 15*b*tan(f*x)^7 - 42*a*tan(f*x)^6*tan(e) + 147*b*tan(f*x)^6*tan(e) - 420*a*tan(f*x)^5*tan(e)^2 + 735*b*tan(f*x)^5*tan(e)^2 - 3150*a*tan(f*x)^4*tan(e)^3 + 3675*b*tan(f*x)^4*tan(e)^3 - 3150*a*tan(f*x)^3*tan(e)^4 + 3675*b*tan(f*x)^3*tan(e)^4 - 420*a*tan(f*x)^2*tan(e)^5 + 735*b*tan(f*x)^2*tan(e)^5 - 42*a*tan(f*x)*tan(e)^6 + 147*b*tan(f*x)*tan(e)^6 + 15*b*tan(e)^7 - 2205*a*f*x*tan(f*x)^2*tan(e)^2 + 2205*b*f*x*tan(f*x)^2*tan(e)^2 + 21*a*tan(f*x)^5 - 21*b*tan(f*x)^5 + 245*a*tan(f*x)^4*tan(e) - 245*b*tan(f*x)^4*tan(e) + 2205*a*tan(f*x)^3*tan(e)^2 - 2205*b*tan(f*x)^3*tan(e)^2 + 2205*a*tan(f*x)^2*tan(e)^3 - 2205*b*tan(f*x)^2*tan(e)^3 + 245*a*tan(f*x)*tan(e)^4 - 245*b*tan(f*x)*tan(e)^4 + 21*a*tan(e)^5 - 21*b*tan(e)^5 + 735*a*f*x*tan(f*x)*tan(e) - 735*b*f*x*tan(f*x)*tan(e) - 35*a*tan(f*x)^3 + 35*b*tan(f*x)^3 - 735*a*tan(f*x)^2*tan(e) + 735*b*tan(f*x)^2*tan(e) - 735*a*tan(f*x)*tan(e)^2 + 735*b*tan(f*x)*tan(e)^2 - 35*a*tan(e)^3 + 35*b*tan(e)^3 - 105*a*f*x + 105*b*f*x + 105*a*tan(f*x) - 105*b*tan(f*x) + 105*a*tan(e) - 105*b*tan(e))/(f*tan(f*x)^7*tan(e)^7 - 7*f*tan(f*x)^6*tan(e)^6 + 21*f*tan(f*x)^5*tan(e)^5 - 35*f*tan(f*x)^4*tan(e)^4 + 35*f*tan(f*x)^3*tan(e)^3 - 21*f*tan(f*x)^2*tan(e)^2 + 7*f*tan(f*x)*tan(e) - f)","B",0
192,1,633,0,20.502252," ","integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{15 \, a f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 15 \, b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 75 \, a f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 75 \, b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 15 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{4} - 15 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 15 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 15 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 150 \, a f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 150 \, b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 5 \, a \tan\left(f x\right)^{5} \tan\left(e\right)^{2} + 5 \, b \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 75 \, a \tan\left(f x\right)^{4} \tan\left(e\right)^{3} + 75 \, b \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 75 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 75 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 5 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 5 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 150 \, a f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 150 \, b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 3 \, b \tan\left(f x\right)^{5} + 10 \, a \tan\left(f x\right)^{4} \tan\left(e\right) - 25 \, b \tan\left(f x\right)^{4} \tan\left(e\right) + 120 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 150 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 120 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 150 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 10 \, a \tan\left(f x\right) \tan\left(e\right)^{4} - 25 \, b \tan\left(f x\right) \tan\left(e\right)^{4} - 3 \, b \tan\left(e\right)^{5} + 75 \, a f x \tan\left(f x\right) \tan\left(e\right) - 75 \, b f x \tan\left(f x\right) \tan\left(e\right) - 5 \, a \tan\left(f x\right)^{3} + 5 \, b \tan\left(f x\right)^{3} - 75 \, a \tan\left(f x\right)^{2} \tan\left(e\right) + 75 \, b \tan\left(f x\right)^{2} \tan\left(e\right) - 75 \, a \tan\left(f x\right) \tan\left(e\right)^{2} + 75 \, b \tan\left(f x\right) \tan\left(e\right)^{2} - 5 \, a \tan\left(e\right)^{3} + 5 \, b \tan\left(e\right)^{3} - 15 \, a f x + 15 \, b f x + 15 \, a \tan\left(f x\right) - 15 \, b \tan\left(f x\right) + 15 \, a \tan\left(e\right) - 15 \, b \tan\left(e\right)}{15 \, {\left(f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 5 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 10 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 10 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 5 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"1/15*(15*a*f*x*tan(f*x)^5*tan(e)^5 - 15*b*f*x*tan(f*x)^5*tan(e)^5 - 75*a*f*x*tan(f*x)^4*tan(e)^4 + 75*b*f*x*tan(f*x)^4*tan(e)^4 + 15*a*tan(f*x)^5*tan(e)^4 - 15*b*tan(f*x)^5*tan(e)^4 + 15*a*tan(f*x)^4*tan(e)^5 - 15*b*tan(f*x)^4*tan(e)^5 + 150*a*f*x*tan(f*x)^3*tan(e)^3 - 150*b*f*x*tan(f*x)^3*tan(e)^3 - 5*a*tan(f*x)^5*tan(e)^2 + 5*b*tan(f*x)^5*tan(e)^2 - 75*a*tan(f*x)^4*tan(e)^3 + 75*b*tan(f*x)^4*tan(e)^3 - 75*a*tan(f*x)^3*tan(e)^4 + 75*b*tan(f*x)^3*tan(e)^4 - 5*a*tan(f*x)^2*tan(e)^5 + 5*b*tan(f*x)^2*tan(e)^5 - 150*a*f*x*tan(f*x)^2*tan(e)^2 + 150*b*f*x*tan(f*x)^2*tan(e)^2 - 3*b*tan(f*x)^5 + 10*a*tan(f*x)^4*tan(e) - 25*b*tan(f*x)^4*tan(e) + 120*a*tan(f*x)^3*tan(e)^2 - 150*b*tan(f*x)^3*tan(e)^2 + 120*a*tan(f*x)^2*tan(e)^3 - 150*b*tan(f*x)^2*tan(e)^3 + 10*a*tan(f*x)*tan(e)^4 - 25*b*tan(f*x)*tan(e)^4 - 3*b*tan(e)^5 + 75*a*f*x*tan(f*x)*tan(e) - 75*b*f*x*tan(f*x)*tan(e) - 5*a*tan(f*x)^3 + 5*b*tan(f*x)^3 - 75*a*tan(f*x)^2*tan(e) + 75*b*tan(f*x)^2*tan(e) - 75*a*tan(f*x)*tan(e)^2 + 75*b*tan(f*x)*tan(e)^2 - 5*a*tan(e)^3 + 5*b*tan(e)^3 - 15*a*f*x + 15*b*f*x + 15*a*tan(f*x) - 15*b*tan(f*x) + 15*a*tan(e) - 15*b*tan(e))/(f*tan(f*x)^5*tan(e)^5 - 5*f*tan(f*x)^4*tan(e)^4 + 10*f*tan(f*x)^3*tan(e)^3 - 10*f*tan(f*x)^2*tan(e)^2 + 5*f*tan(f*x)*tan(e) - f)","B",0
193,1,289,0,2.533343," ","integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{3 \, a f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 9 \, a f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 9 \, b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, a \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 3 \, b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 3 \, a \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 3 \, b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 9 \, a f x \tan\left(f x\right) \tan\left(e\right) - 9 \, b f x \tan\left(f x\right) \tan\left(e\right) + b \tan\left(f x\right)^{3} - 6 \, a \tan\left(f x\right)^{2} \tan\left(e\right) + 9 \, b \tan\left(f x\right)^{2} \tan\left(e\right) - 6 \, a \tan\left(f x\right) \tan\left(e\right)^{2} + 9 \, b \tan\left(f x\right) \tan\left(e\right)^{2} + b \tan\left(e\right)^{3} - 3 \, a f x + 3 \, b f x + 3 \, a \tan\left(f x\right) - 3 \, b \tan\left(f x\right) + 3 \, a \tan\left(e\right) - 3 \, b \tan\left(e\right)}{3 \, {\left(f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"-1/3*(3*a*f*x*tan(f*x)^3*tan(e)^3 - 3*b*f*x*tan(f*x)^3*tan(e)^3 - 9*a*f*x*tan(f*x)^2*tan(e)^2 + 9*b*f*x*tan(f*x)^2*tan(e)^2 + 3*a*tan(f*x)^3*tan(e)^2 - 3*b*tan(f*x)^3*tan(e)^2 + 3*a*tan(f*x)^2*tan(e)^3 - 3*b*tan(f*x)^2*tan(e)^3 + 9*a*f*x*tan(f*x)*tan(e) - 9*b*f*x*tan(f*x)*tan(e) + b*tan(f*x)^3 - 6*a*tan(f*x)^2*tan(e) + 9*b*tan(f*x)^2*tan(e) - 6*a*tan(f*x)*tan(e)^2 + 9*b*tan(f*x)*tan(e)^2 + b*tan(e)^3 - 3*a*f*x + 3*b*f*x + 3*a*tan(f*x) - 3*b*tan(f*x) + 3*a*tan(e) - 3*b*tan(e))/(f*tan(f*x)^3*tan(e)^3 - 3*f*tan(f*x)^2*tan(e)^2 + 3*f*tan(f*x)*tan(e) - f)","B",0
194,-2,0,0,0.000000," ","integrate(a+b*tan(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)b*(-4*f*x*tan(exp(1))*tan(f*x)+4*f*x-pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))*tan(exp(1))*tan(f*x)+pi*sign(2*tan(exp(1))^2*tan(f*x)+2*tan(exp(1))*tan(f*x)^2-2*tan(exp(1))-2*tan(f*x))-pi*tan(exp(1))*tan(f*x)+pi+2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))*tan(f*x)-1)/(tan(exp(1))+tan(f*x)))+2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))*tan(exp(1))*tan(f*x)-2*atan((tan(exp(1))+tan(f*x))/(tan(exp(1))*tan(f*x)-1))-4*tan(exp(1))-4*tan(f*x))/(4*f*tan(exp(1))*tan(f*x)-4*f)+a*x","F(-2)",0
195,1,46,0,2.318068," ","integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(f x + e\right)} {\left(a - b\right)} - a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + \frac{a}{\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}}{2 \, f}"," ",0,"-1/2*(2*(f*x + e)*(a - b) - a*tan(1/2*f*x + 1/2*e) + a/tan(1/2*f*x + 1/2*e))/f","B",0
196,1,106,0,2.721499," ","integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 24 \, {\left(f x + e\right)} {\left(a - b\right)} - 15 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 12 \, 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} - 12 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - a}{\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 + 24*(f*x + e)*(a - b) - 15*a*tan(1/2*f*x + 1/2*e) + 12*b*tan(1/2*f*x + 1/2*e) + (15*a*tan(1/2*f*x + 1/2*e)^2 - 12*b*tan(1/2*f*x + 1/2*e)^2 - a)/tan(1/2*f*x + 1/2*e)^3)/f","B",0
197,1,168,0,3.260074," ","integrate(cot(f*x+e)^6*(a+b*tan(f*x+e)^2),x, algorithm=""giac"")","\frac{3 \, a \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} + 20 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 480 \, {\left(f x + e\right)} {\left(a - b\right)} + 330 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 300 \, 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} - 300 \, 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} + 20 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, a}{\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 - 35*a*tan(1/2*f*x + 1/2*e)^3 + 20*b*tan(1/2*f*x + 1/2*e)^3 - 480*(f*x + e)*(a - b) + 330*a*tan(1/2*f*x + 1/2*e) - 300*b*tan(1/2*f*x + 1/2*e) - (330*a*tan(1/2*f*x + 1/2*e)^4 - 300*b*tan(1/2*f*x + 1/2*e)^4 - 35*a*tan(1/2*f*x + 1/2*e)^2 + 20*b*tan(1/2*f*x + 1/2*e)^2 + 3*a)/tan(1/2*f*x + 1/2*e)^5)/f","B",0
198,-1,0,0,0.000000," ","integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,1,2600,0,33.841799," ","integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{6 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 12 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 6 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 6 \, a^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 18 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 11 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 36 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 72 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 36 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 6 \, a^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{4} - 12 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{4} + 6 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{4} - 24 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 84 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 54 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 6 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{6} - 12 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{6} + 6 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{6} + 90 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 180 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 90 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 6 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{2} - 3 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{2} - 24 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{3} + 72 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{3} - 36 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{3} + 42 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 138 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 99 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 24 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{5} + 72 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{5} - 36 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{5} + 6 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{6} - 3 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{6} - 120 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 240 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 120 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 2 \, b^{2} \tan\left(f x\right)^{6} - 12 \, a b \tan\left(f x\right)^{5} \tan\left(e\right) + 18 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right) + 36 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 120 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 90 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 48 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 144 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 72 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 36 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 120 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 90 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 12 \, a b \tan\left(f x\right) \tan\left(e\right)^{5} + 18 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{5} + 2 \, b^{2} \tan\left(e\right)^{6} + 90 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 180 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 90 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 6 \, a b \tan\left(f x\right)^{4} - 3 \, b^{2} \tan\left(f x\right)^{4} - 24 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right) + 72 \, a b \tan\left(f x\right)^{3} \tan\left(e\right) - 36 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right) + 42 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 138 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 99 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 24 \, a^{2} \tan\left(f x\right) \tan\left(e\right)^{3} + 72 \, a b \tan\left(f x\right) \tan\left(e\right)^{3} - 36 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{3} + 6 \, a b \tan\left(e\right)^{4} - 3 \, b^{2} \tan\left(e\right)^{4} - 36 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 72 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) - 36 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 6 \, a^{2} \tan\left(f x\right)^{2} - 12 \, a b \tan\left(f x\right)^{2} + 6 \, b^{2} \tan\left(f x\right)^{2} - 24 \, a^{2} \tan\left(f x\right) \tan\left(e\right) + 84 \, a b \tan\left(f x\right) \tan\left(e\right) - 54 \, b^{2} \tan\left(f x\right) \tan\left(e\right) + 6 \, a^{2} \tan\left(e\right)^{2} - 12 \, a b \tan\left(e\right)^{2} + 6 \, b^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - 12 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) + 6 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) + 6 \, a^{2} - 18 \, a b + 11 \, b^{2}}{12 \, {\left(f \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 6 \, f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 15 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 20 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 15 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 6 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"1/12*(6*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^6*tan(e)^6 - 12*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^6*tan(e)^6 + 6*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^6*tan(e)^6 + 6*a^2*tan(f*x)^6*tan(e)^6 - 18*a*b*tan(f*x)^6*tan(e)^6 + 11*b^2*tan(f*x)^6*tan(e)^6 - 36*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^5*tan(e)^5 + 72*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^5*tan(e)^5 - 36*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^5*tan(e)^5 + 6*a^2*tan(f*x)^6*tan(e)^4 - 12*a*b*tan(f*x)^6*tan(e)^4 + 6*b^2*tan(f*x)^6*tan(e)^4 - 24*a^2*tan(f*x)^5*tan(e)^5 + 84*a*b*tan(f*x)^5*tan(e)^5 - 54*b^2*tan(f*x)^5*tan(e)^5 + 6*a^2*tan(f*x)^4*tan(e)^6 - 12*a*b*tan(f*x)^4*tan(e)^6 + 6*b^2*tan(f*x)^4*tan(e)^6 + 90*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 180*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 + 90*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 + 6*a*b*tan(f*x)^6*tan(e)^2 - 3*b^2*tan(f*x)^6*tan(e)^2 - 24*a^2*tan(f*x)^5*tan(e)^3 + 72*a*b*tan(f*x)^5*tan(e)^3 - 36*b^2*tan(f*x)^5*tan(e)^3 + 42*a^2*tan(f*x)^4*tan(e)^4 - 138*a*b*tan(f*x)^4*tan(e)^4 + 99*b^2*tan(f*x)^4*tan(e)^4 - 24*a^2*tan(f*x)^3*tan(e)^5 + 72*a*b*tan(f*x)^3*tan(e)^5 - 36*b^2*tan(f*x)^3*tan(e)^5 + 6*a*b*tan(f*x)^2*tan(e)^6 - 3*b^2*tan(f*x)^2*tan(e)^6 - 120*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 240*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 - 120*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 2*b^2*tan(f*x)^6 - 12*a*b*tan(f*x)^5*tan(e) + 18*b^2*tan(f*x)^5*tan(e) + 36*a^2*tan(f*x)^4*tan(e)^2 - 120*a*b*tan(f*x)^4*tan(e)^2 + 90*b^2*tan(f*x)^4*tan(e)^2 - 48*a^2*tan(f*x)^3*tan(e)^3 + 144*a*b*tan(f*x)^3*tan(e)^3 - 72*b^2*tan(f*x)^3*tan(e)^3 + 36*a^2*tan(f*x)^2*tan(e)^4 - 120*a*b*tan(f*x)^2*tan(e)^4 + 90*b^2*tan(f*x)^2*tan(e)^4 - 12*a*b*tan(f*x)*tan(e)^5 + 18*b^2*tan(f*x)*tan(e)^5 + 2*b^2*tan(e)^6 + 90*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - 180*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 + 90*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 + 6*a*b*tan(f*x)^4 - 3*b^2*tan(f*x)^4 - 24*a^2*tan(f*x)^3*tan(e) + 72*a*b*tan(f*x)^3*tan(e) - 36*b^2*tan(f*x)^3*tan(e) + 42*a^2*tan(f*x)^2*tan(e)^2 - 138*a*b*tan(f*x)^2*tan(e)^2 + 99*b^2*tan(f*x)^2*tan(e)^2 - 24*a^2*tan(f*x)*tan(e)^3 + 72*a*b*tan(f*x)*tan(e)^3 - 36*b^2*tan(f*x)*tan(e)^3 + 6*a*b*tan(e)^4 - 3*b^2*tan(e)^4 - 36*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 72*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) - 36*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 6*a^2*tan(f*x)^2 - 12*a*b*tan(f*x)^2 + 6*b^2*tan(f*x)^2 - 24*a^2*tan(f*x)*tan(e) + 84*a*b*tan(f*x)*tan(e) - 54*b^2*tan(f*x)*tan(e) + 6*a^2*tan(e)^2 - 12*a*b*tan(e)^2 + 6*b^2*tan(e)^2 + 6*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - 12*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) + 6*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) + 6*a^2 - 18*a*b + 11*b^2)/(f*tan(f*x)^6*tan(e)^6 - 6*f*tan(f*x)^5*tan(e)^5 + 15*f*tan(f*x)^4*tan(e)^4 - 20*f*tan(f*x)^3*tan(e)^3 + 15*f*tan(f*x)^2*tan(e)^2 - 6*f*tan(f*x)*tan(e) + f)","B",0
200,1,1510,0,9.907964," ","integrate(tan(f*x+e)*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{2 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 4 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 2 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 4 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 3 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 8 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 16 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 8 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 4 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 2 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 8 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 8 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 4 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 2 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 12 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 24 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 12 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - b^{2} \tan\left(f x\right)^{4} + 8 \, a b \tan\left(f x\right)^{3} \tan\left(e\right) - 8 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right) - 8 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 4 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \tan\left(f x\right) \tan\left(e\right)^{3} - 8 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{3} - b^{2} \tan\left(e\right)^{4} - 8 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) + 16 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) - 8 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) \tan\left(f x\right) \tan\left(e\right) - 4 \, a b \tan\left(f x\right)^{2} + 2 \, b^{2} \tan\left(f x\right)^{2} + 8 \, a b \tan\left(f x\right) \tan\left(e\right) - 8 \, b^{2} \tan\left(f x\right) \tan\left(e\right) - 4 \, a b \tan\left(e\right)^{2} + 2 \, b^{2} \tan\left(e\right)^{2} + 2 \, a^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - 4 \, a b \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) + 2 \, b^{2} \log\left(\frac{4 \, {\left(\tan\left(f x\right)^{4} \tan\left(e\right)^{2} - 2 \, \tan\left(f x\right)^{3} \tan\left(e\right) + \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + \tan\left(f x\right)^{2} - 2 \, \tan\left(f x\right) \tan\left(e\right) + 1\right)}}{\tan\left(e\right)^{2} + 1}\right) - 4 \, a b + 3 \, b^{2}}{4 \, {\left(f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 4 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 6 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 4 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"-1/4*(2*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 4*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 + 2*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^4*tan(e)^4 - 4*a*b*tan(f*x)^4*tan(e)^4 + 3*b^2*tan(f*x)^4*tan(e)^4 - 8*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 + 16*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 - 8*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^3*tan(e)^3 - 4*a*b*tan(f*x)^4*tan(e)^2 + 2*b^2*tan(f*x)^4*tan(e)^2 + 8*a*b*tan(f*x)^3*tan(e)^3 - 8*b^2*tan(f*x)^3*tan(e)^3 - 4*a*b*tan(f*x)^2*tan(e)^4 + 2*b^2*tan(f*x)^2*tan(e)^4 + 12*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - 24*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 + 12*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)^2*tan(e)^2 - b^2*tan(f*x)^4 + 8*a*b*tan(f*x)^3*tan(e) - 8*b^2*tan(f*x)^3*tan(e) - 8*a*b*tan(f*x)^2*tan(e)^2 + 4*b^2*tan(f*x)^2*tan(e)^2 + 8*a*b*tan(f*x)*tan(e)^3 - 8*b^2*tan(f*x)*tan(e)^3 - b^2*tan(e)^4 - 8*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) + 16*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) - 8*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1))*tan(f*x)*tan(e) - 4*a*b*tan(f*x)^2 + 2*b^2*tan(f*x)^2 + 8*a*b*tan(f*x)*tan(e) - 8*b^2*tan(f*x)*tan(e) - 4*a*b*tan(e)^2 + 2*b^2*tan(e)^2 + 2*a^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - 4*a*b*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) + 2*b^2*log(4*(tan(f*x)^4*tan(e)^2 - 2*tan(f*x)^3*tan(e) + tan(f*x)^2*tan(e)^2 + tan(f*x)^2 - 2*tan(f*x)*tan(e) + 1)/(tan(e)^2 + 1)) - 4*a*b + 3*b^2)/(f*tan(f*x)^4*tan(e)^4 - 4*f*tan(f*x)^3*tan(e)^3 + 6*f*tan(f*x)^2*tan(e)^2 - 4*f*tan(f*x)*tan(e) + f)","B",0
201,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*tan(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)1/f*(a^2/2*ln(sin(f*x+exp(1))^2)+(b^2-2*b*a)/2*ln(abs(sin(f*x+exp(1))^2-1))+(-sin(f*x+exp(1))^2*b^2+2*sin(f*x+exp(1))^2*b*a-2*b*a)/2/(sin(f*x+exp(1))^2-1))","F(-2)",0
202,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*tan(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+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))-((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
203,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*tan(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*a^2+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2-512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b)/4096+(-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2+96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-48*((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^2-16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-a^2)*1/128/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2+(-a^2+2*a*b-b^2)/2*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(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
204,-1,0,0,0.000000," ","integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,1,1684,0,35.411201," ","integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{105 \, a^{2} f x \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 210 \, a b f x \tan\left(f x\right)^{7} \tan\left(e\right)^{7} + 105 \, b^{2} f x \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 735 \, a^{2} f x \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 1470 \, a b f x \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 735 \, b^{2} f x \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 105 \, a^{2} \tan\left(f x\right)^{7} \tan\left(e\right)^{6} - 210 \, a b \tan\left(f x\right)^{7} \tan\left(e\right)^{6} + 105 \, b^{2} \tan\left(f x\right)^{7} \tan\left(e\right)^{6} + 105 \, a^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{7} - 210 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{7} + 105 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{7} + 2205 \, a^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 4410 \, a b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 2205 \, b^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 35 \, a^{2} \tan\left(f x\right)^{7} \tan\left(e\right)^{4} + 70 \, a b \tan\left(f x\right)^{7} \tan\left(e\right)^{4} - 35 \, b^{2} \tan\left(f x\right)^{7} \tan\left(e\right)^{4} - 735 \, a^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{5} + 1470 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{5} - 735 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{5} - 735 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{6} + 1470 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{6} - 735 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{6} - 35 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{7} + 70 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{7} - 35 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{7} - 3675 \, a^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 7350 \, a b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 3675 \, b^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 42 \, a b \tan\left(f x\right)^{7} \tan\left(e\right)^{2} + 21 \, b^{2} \tan\left(f x\right)^{7} \tan\left(e\right)^{2} + 140 \, a^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{3} - 490 \, a b \tan\left(f x\right)^{6} \tan\left(e\right)^{3} + 245 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right)^{3} + 1995 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} - 4410 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 2205 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 1995 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 4410 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 2205 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 140 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{6} - 490 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{6} + 245 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{6} - 42 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{7} + 21 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{7} + 3675 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 7350 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 3675 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 15 \, b^{2} \tan\left(f x\right)^{7} + 84 \, a b \tan\left(f x\right)^{6} \tan\left(e\right) - 147 \, b^{2} \tan\left(f x\right)^{6} \tan\left(e\right) - 210 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{2} + 840 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 735 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 2730 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} + 6300 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 3675 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 2730 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 6300 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 3675 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 210 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 840 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 735 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{5} + 84 \, a b \tan\left(f x\right) \tan\left(e\right)^{6} - 147 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{6} - 15 \, b^{2} \tan\left(e\right)^{7} - 2205 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 4410 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 2205 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 42 \, a b \tan\left(f x\right)^{5} + 21 \, b^{2} \tan\left(f x\right)^{5} + 140 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right) - 490 \, a b \tan\left(f x\right)^{4} \tan\left(e\right) + 245 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right) + 1995 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 4410 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 2205 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 1995 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 4410 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 2205 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 140 \, a^{2} \tan\left(f x\right) \tan\left(e\right)^{4} - 490 \, a b \tan\left(f x\right) \tan\left(e\right)^{4} + 245 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{4} - 42 \, a b \tan\left(e\right)^{5} + 21 \, b^{2} \tan\left(e\right)^{5} + 735 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right) - 1470 \, a b f x \tan\left(f x\right) \tan\left(e\right) + 735 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right) - 35 \, a^{2} \tan\left(f x\right)^{3} + 70 \, a b \tan\left(f x\right)^{3} - 35 \, b^{2} \tan\left(f x\right)^{3} - 735 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right) + 1470 \, a b \tan\left(f x\right)^{2} \tan\left(e\right) - 735 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right) - 735 \, a^{2} \tan\left(f x\right) \tan\left(e\right)^{2} + 1470 \, a b \tan\left(f x\right) \tan\left(e\right)^{2} - 735 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{2} - 35 \, a^{2} \tan\left(e\right)^{3} + 70 \, a b \tan\left(e\right)^{3} - 35 \, b^{2} \tan\left(e\right)^{3} - 105 \, a^{2} f x + 210 \, a b f x - 105 \, b^{2} f x + 105 \, a^{2} \tan\left(f x\right) - 210 \, a b \tan\left(f x\right) + 105 \, b^{2} \tan\left(f x\right) + 105 \, a^{2} \tan\left(e\right) - 210 \, a b \tan\left(e\right) + 105 \, b^{2} \tan\left(e\right)}{105 \, {\left(f \tan\left(f x\right)^{7} \tan\left(e\right)^{7} - 7 \, f \tan\left(f x\right)^{6} \tan\left(e\right)^{6} + 21 \, f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 35 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 35 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 21 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 7 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"1/105*(105*a^2*f*x*tan(f*x)^7*tan(e)^7 - 210*a*b*f*x*tan(f*x)^7*tan(e)^7 + 105*b^2*f*x*tan(f*x)^7*tan(e)^7 - 735*a^2*f*x*tan(f*x)^6*tan(e)^6 + 1470*a*b*f*x*tan(f*x)^6*tan(e)^6 - 735*b^2*f*x*tan(f*x)^6*tan(e)^6 + 105*a^2*tan(f*x)^7*tan(e)^6 - 210*a*b*tan(f*x)^7*tan(e)^6 + 105*b^2*tan(f*x)^7*tan(e)^6 + 105*a^2*tan(f*x)^6*tan(e)^7 - 210*a*b*tan(f*x)^6*tan(e)^7 + 105*b^2*tan(f*x)^6*tan(e)^7 + 2205*a^2*f*x*tan(f*x)^5*tan(e)^5 - 4410*a*b*f*x*tan(f*x)^5*tan(e)^5 + 2205*b^2*f*x*tan(f*x)^5*tan(e)^5 - 35*a^2*tan(f*x)^7*tan(e)^4 + 70*a*b*tan(f*x)^7*tan(e)^4 - 35*b^2*tan(f*x)^7*tan(e)^4 - 735*a^2*tan(f*x)^6*tan(e)^5 + 1470*a*b*tan(f*x)^6*tan(e)^5 - 735*b^2*tan(f*x)^6*tan(e)^5 - 735*a^2*tan(f*x)^5*tan(e)^6 + 1470*a*b*tan(f*x)^5*tan(e)^6 - 735*b^2*tan(f*x)^5*tan(e)^6 - 35*a^2*tan(f*x)^4*tan(e)^7 + 70*a*b*tan(f*x)^4*tan(e)^7 - 35*b^2*tan(f*x)^4*tan(e)^7 - 3675*a^2*f*x*tan(f*x)^4*tan(e)^4 + 7350*a*b*f*x*tan(f*x)^4*tan(e)^4 - 3675*b^2*f*x*tan(f*x)^4*tan(e)^4 - 42*a*b*tan(f*x)^7*tan(e)^2 + 21*b^2*tan(f*x)^7*tan(e)^2 + 140*a^2*tan(f*x)^6*tan(e)^3 - 490*a*b*tan(f*x)^6*tan(e)^3 + 245*b^2*tan(f*x)^6*tan(e)^3 + 1995*a^2*tan(f*x)^5*tan(e)^4 - 4410*a*b*tan(f*x)^5*tan(e)^4 + 2205*b^2*tan(f*x)^5*tan(e)^4 + 1995*a^2*tan(f*x)^4*tan(e)^5 - 4410*a*b*tan(f*x)^4*tan(e)^5 + 2205*b^2*tan(f*x)^4*tan(e)^5 + 140*a^2*tan(f*x)^3*tan(e)^6 - 490*a*b*tan(f*x)^3*tan(e)^6 + 245*b^2*tan(f*x)^3*tan(e)^6 - 42*a*b*tan(f*x)^2*tan(e)^7 + 21*b^2*tan(f*x)^2*tan(e)^7 + 3675*a^2*f*x*tan(f*x)^3*tan(e)^3 - 7350*a*b*f*x*tan(f*x)^3*tan(e)^3 + 3675*b^2*f*x*tan(f*x)^3*tan(e)^3 - 15*b^2*tan(f*x)^7 + 84*a*b*tan(f*x)^6*tan(e) - 147*b^2*tan(f*x)^6*tan(e) - 210*a^2*tan(f*x)^5*tan(e)^2 + 840*a*b*tan(f*x)^5*tan(e)^2 - 735*b^2*tan(f*x)^5*tan(e)^2 - 2730*a^2*tan(f*x)^4*tan(e)^3 + 6300*a*b*tan(f*x)^4*tan(e)^3 - 3675*b^2*tan(f*x)^4*tan(e)^3 - 2730*a^2*tan(f*x)^3*tan(e)^4 + 6300*a*b*tan(f*x)^3*tan(e)^4 - 3675*b^2*tan(f*x)^3*tan(e)^4 - 210*a^2*tan(f*x)^2*tan(e)^5 + 840*a*b*tan(f*x)^2*tan(e)^5 - 735*b^2*tan(f*x)^2*tan(e)^5 + 84*a*b*tan(f*x)*tan(e)^6 - 147*b^2*tan(f*x)*tan(e)^6 - 15*b^2*tan(e)^7 - 2205*a^2*f*x*tan(f*x)^2*tan(e)^2 + 4410*a*b*f*x*tan(f*x)^2*tan(e)^2 - 2205*b^2*f*x*tan(f*x)^2*tan(e)^2 - 42*a*b*tan(f*x)^5 + 21*b^2*tan(f*x)^5 + 140*a^2*tan(f*x)^4*tan(e) - 490*a*b*tan(f*x)^4*tan(e) + 245*b^2*tan(f*x)^4*tan(e) + 1995*a^2*tan(f*x)^3*tan(e)^2 - 4410*a*b*tan(f*x)^3*tan(e)^2 + 2205*b^2*tan(f*x)^3*tan(e)^2 + 1995*a^2*tan(f*x)^2*tan(e)^3 - 4410*a*b*tan(f*x)^2*tan(e)^3 + 2205*b^2*tan(f*x)^2*tan(e)^3 + 140*a^2*tan(f*x)*tan(e)^4 - 490*a*b*tan(f*x)*tan(e)^4 + 245*b^2*tan(f*x)*tan(e)^4 - 42*a*b*tan(e)^5 + 21*b^2*tan(e)^5 + 735*a^2*f*x*tan(f*x)*tan(e) - 1470*a*b*f*x*tan(f*x)*tan(e) + 735*b^2*f*x*tan(f*x)*tan(e) - 35*a^2*tan(f*x)^3 + 70*a*b*tan(f*x)^3 - 35*b^2*tan(f*x)^3 - 735*a^2*tan(f*x)^2*tan(e) + 1470*a*b*tan(f*x)^2*tan(e) - 735*b^2*tan(f*x)^2*tan(e) - 735*a^2*tan(f*x)*tan(e)^2 + 1470*a*b*tan(f*x)*tan(e)^2 - 735*b^2*tan(f*x)*tan(e)^2 - 35*a^2*tan(e)^3 + 70*a*b*tan(e)^3 - 35*b^2*tan(e)^3 - 105*a^2*f*x + 210*a*b*f*x - 105*b^2*f*x + 105*a^2*tan(f*x) - 210*a*b*tan(f*x) + 105*b^2*tan(f*x) + 105*a^2*tan(e) - 210*a*b*tan(e) + 105*b^2*tan(e))/(f*tan(f*x)^7*tan(e)^7 - 7*f*tan(f*x)^6*tan(e)^6 + 21*f*tan(f*x)^5*tan(e)^5 - 35*f*tan(f*x)^4*tan(e)^4 + 35*f*tan(f*x)^3*tan(e)^3 - 21*f*tan(f*x)^2*tan(e)^2 + 7*f*tan(f*x)*tan(e) - f)","B",0
206,1,937,0,8.869375," ","integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{15 \, a^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 30 \, a b f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 15 \, b^{2} f x \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 75 \, a^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 150 \, a b f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 75 \, b^{2} f x \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 15 \, a^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} - 30 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 15 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 15 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 30 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 15 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} + 150 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 300 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 150 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 10 \, a b \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 5 \, b^{2} \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 60 \, a^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} + 150 \, a b \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 75 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 60 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 150 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{4} - 75 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 10 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 5 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 150 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 300 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 150 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, b^{2} \tan\left(f x\right)^{5} - 20 \, a b \tan\left(f x\right)^{4} \tan\left(e\right) + 25 \, b^{2} \tan\left(f x\right)^{4} \tan\left(e\right) + 90 \, a^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 240 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 150 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 90 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 240 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 150 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 20 \, a b \tan\left(f x\right) \tan\left(e\right)^{4} + 25 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{4} + 3 \, b^{2} \tan\left(e\right)^{5} + 75 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right) - 150 \, a b f x \tan\left(f x\right) \tan\left(e\right) + 75 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right) + 10 \, a b \tan\left(f x\right)^{3} - 5 \, b^{2} \tan\left(f x\right)^{3} - 60 \, a^{2} \tan\left(f x\right)^{2} \tan\left(e\right) + 150 \, a b \tan\left(f x\right)^{2} \tan\left(e\right) - 75 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right) - 60 \, a^{2} \tan\left(f x\right) \tan\left(e\right)^{2} + 150 \, a b \tan\left(f x\right) \tan\left(e\right)^{2} - 75 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{2} + 10 \, a b \tan\left(e\right)^{3} - 5 \, b^{2} \tan\left(e\right)^{3} - 15 \, a^{2} f x + 30 \, a b f x - 15 \, b^{2} f x + 15 \, a^{2} \tan\left(f x\right) - 30 \, a b \tan\left(f x\right) + 15 \, b^{2} \tan\left(f x\right) + 15 \, a^{2} \tan\left(e\right) - 30 \, a b \tan\left(e\right) + 15 \, b^{2} \tan\left(e\right)}{15 \, {\left(f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} - 5 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 10 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 10 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 5 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"-1/15*(15*a^2*f*x*tan(f*x)^5*tan(e)^5 - 30*a*b*f*x*tan(f*x)^5*tan(e)^5 + 15*b^2*f*x*tan(f*x)^5*tan(e)^5 - 75*a^2*f*x*tan(f*x)^4*tan(e)^4 + 150*a*b*f*x*tan(f*x)^4*tan(e)^4 - 75*b^2*f*x*tan(f*x)^4*tan(e)^4 + 15*a^2*tan(f*x)^5*tan(e)^4 - 30*a*b*tan(f*x)^5*tan(e)^4 + 15*b^2*tan(f*x)^5*tan(e)^4 + 15*a^2*tan(f*x)^4*tan(e)^5 - 30*a*b*tan(f*x)^4*tan(e)^5 + 15*b^2*tan(f*x)^4*tan(e)^5 + 150*a^2*f*x*tan(f*x)^3*tan(e)^3 - 300*a*b*f*x*tan(f*x)^3*tan(e)^3 + 150*b^2*f*x*tan(f*x)^3*tan(e)^3 + 10*a*b*tan(f*x)^5*tan(e)^2 - 5*b^2*tan(f*x)^5*tan(e)^2 - 60*a^2*tan(f*x)^4*tan(e)^3 + 150*a*b*tan(f*x)^4*tan(e)^3 - 75*b^2*tan(f*x)^4*tan(e)^3 - 60*a^2*tan(f*x)^3*tan(e)^4 + 150*a*b*tan(f*x)^3*tan(e)^4 - 75*b^2*tan(f*x)^3*tan(e)^4 + 10*a*b*tan(f*x)^2*tan(e)^5 - 5*b^2*tan(f*x)^2*tan(e)^5 - 150*a^2*f*x*tan(f*x)^2*tan(e)^2 + 300*a*b*f*x*tan(f*x)^2*tan(e)^2 - 150*b^2*f*x*tan(f*x)^2*tan(e)^2 + 3*b^2*tan(f*x)^5 - 20*a*b*tan(f*x)^4*tan(e) + 25*b^2*tan(f*x)^4*tan(e) + 90*a^2*tan(f*x)^3*tan(e)^2 - 240*a*b*tan(f*x)^3*tan(e)^2 + 150*b^2*tan(f*x)^3*tan(e)^2 + 90*a^2*tan(f*x)^2*tan(e)^3 - 240*a*b*tan(f*x)^2*tan(e)^3 + 150*b^2*tan(f*x)^2*tan(e)^3 - 20*a*b*tan(f*x)*tan(e)^4 + 25*b^2*tan(f*x)*tan(e)^4 + 3*b^2*tan(e)^5 + 75*a^2*f*x*tan(f*x)*tan(e) - 150*a*b*f*x*tan(f*x)*tan(e) + 75*b^2*f*x*tan(f*x)*tan(e) + 10*a*b*tan(f*x)^3 - 5*b^2*tan(f*x)^3 - 60*a^2*tan(f*x)^2*tan(e) + 150*a*b*tan(f*x)^2*tan(e) - 75*b^2*tan(f*x)^2*tan(e) - 60*a^2*tan(f*x)*tan(e)^2 + 150*a*b*tan(f*x)*tan(e)^2 - 75*b^2*tan(f*x)*tan(e)^2 + 10*a*b*tan(e)^3 - 5*b^2*tan(e)^3 - 15*a^2*f*x + 30*a*b*f*x - 15*b^2*f*x + 15*a^2*tan(f*x) - 30*a*b*tan(f*x) + 15*b^2*tan(f*x) + 15*a^2*tan(e) - 30*a*b*tan(e) + 15*b^2*tan(e))/(f*tan(f*x)^5*tan(e)^5 - 5*f*tan(f*x)^4*tan(e)^4 + 10*f*tan(f*x)^3*tan(e)^3 - 10*f*tan(f*x)^2*tan(e)^2 + 5*f*tan(f*x)*tan(e) - f)","B",0
207,1,382,0,1.838848," ","integrate((a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 6 \, a b f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 3 \, b^{2} f x \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 9 \, a^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 18 \, a b f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 9 \, b^{2} f x \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 6 \, a b \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 3 \, b^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} - 6 \, a b \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 3 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} + 9 \, a^{2} f x \tan\left(f x\right) \tan\left(e\right) - 18 \, a b f x \tan\left(f x\right) \tan\left(e\right) + 9 \, b^{2} f x \tan\left(f x\right) \tan\left(e\right) - b^{2} \tan\left(f x\right)^{3} + 12 \, a b \tan\left(f x\right)^{2} \tan\left(e\right) - 9 \, b^{2} \tan\left(f x\right)^{2} \tan\left(e\right) + 12 \, a b \tan\left(f x\right) \tan\left(e\right)^{2} - 9 \, b^{2} \tan\left(f x\right) \tan\left(e\right)^{2} - b^{2} \tan\left(e\right)^{3} - 3 \, a^{2} f x + 6 \, a b f x - 3 \, b^{2} f x - 6 \, a b \tan\left(f x\right) + 3 \, b^{2} \tan\left(f x\right) - 6 \, a b \tan\left(e\right) + 3 \, b^{2} \tan\left(e\right)}{3 \, {\left(f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} - 3 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, f \tan\left(f x\right) \tan\left(e\right) - f\right)}}"," ",0,"1/3*(3*a^2*f*x*tan(f*x)^3*tan(e)^3 - 6*a*b*f*x*tan(f*x)^3*tan(e)^3 + 3*b^2*f*x*tan(f*x)^3*tan(e)^3 - 9*a^2*f*x*tan(f*x)^2*tan(e)^2 + 18*a*b*f*x*tan(f*x)^2*tan(e)^2 - 9*b^2*f*x*tan(f*x)^2*tan(e)^2 - 6*a*b*tan(f*x)^3*tan(e)^2 + 3*b^2*tan(f*x)^3*tan(e)^2 - 6*a*b*tan(f*x)^2*tan(e)^3 + 3*b^2*tan(f*x)^2*tan(e)^3 + 9*a^2*f*x*tan(f*x)*tan(e) - 18*a*b*f*x*tan(f*x)*tan(e) + 9*b^2*f*x*tan(f*x)*tan(e) - b^2*tan(f*x)^3 + 12*a*b*tan(f*x)^2*tan(e) - 9*b^2*tan(f*x)^2*tan(e) + 12*a*b*tan(f*x)*tan(e)^2 - 9*b^2*tan(f*x)*tan(e)^2 - b^2*tan(e)^3 - 3*a^2*f*x + 6*a*b*f*x - 3*b^2*f*x - 6*a*b*tan(f*x) + 3*b^2*tan(f*x) - 6*a*b*tan(e) + 3*b^2*tan(e))/(f*tan(f*x)^3*tan(e)^3 - 3*f*tan(f*x)^2*tan(e)^2 + 3*f*tan(f*x)*tan(e) - f)","B",0
208,1,49,0,3.069718," ","integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{b^{2} \tan\left(f x + e\right) - {\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(f x + e\right)} - \frac{a^{2}}{\tan\left(f x + e\right)}}{f}"," ",0,"(b^2*tan(f*x + e) - (a^2 - 2*a*b + b^2)*(f*x + e) - a^2/tan(f*x + e))/f","A",0
209,1,122,0,4.732625," ","integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 15 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 24 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 24 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(f x + e\right)} + \frac{15 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 24 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - a^{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 - 15*a^2*tan(1/2*f*x + 1/2*e) + 24*a*b*tan(1/2*f*x + 1/2*e) + 24*(a^2 - 2*a*b + b^2)*(f*x + e) + (15*a^2*tan(1/2*f*x + 1/2*e)^2 - 24*a*b*tan(1/2*f*x + 1/2*e)^2 - a^2)/tan(1/2*f*x + 1/2*e)^3)/f","B",0
210,1,222,0,7.940968," ","integrate(cot(f*x+e)^6*(a+b*tan(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} - 35 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 330 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 600 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 240 \, b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 480 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(f x + e\right)} - \frac{330 \, a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 600 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 240 \, 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} + 40 \, a b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, a^{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 - 35*a^2*tan(1/2*f*x + 1/2*e)^3 + 40*a*b*tan(1/2*f*x + 1/2*e)^3 + 330*a^2*tan(1/2*f*x + 1/2*e) - 600*a*b*tan(1/2*f*x + 1/2*e) + 240*b^2*tan(1/2*f*x + 1/2*e) - 480*(a^2 - 2*a*b + b^2)*(f*x + e) - (330*a^2*tan(1/2*f*x + 1/2*e)^4 - 600*a*b*tan(1/2*f*x + 1/2*e)^4 + 240*b^2*tan(1/2*f*x + 1/2*e)^4 - 35*a^2*tan(1/2*f*x + 1/2*e)^2 + 40*a*b*tan(1/2*f*x + 1/2*e)^2 + 3*a^2)/tan(1/2*f*x + 1/2*e)^5)/f","B",0
211,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*tan(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+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))-a^3/(4*a^2*b^2-4*a*b^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))))*a-2*a+4*b))+(a+b)*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-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-((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+6*b)*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
212,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*tan(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-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))-a^2/(-4*a^2*b+4*a*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))))*a-2*a+4*b)))","F(-2)",0
213,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*tan(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-2*b)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/(4*a-4*b)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
214,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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)1/f*(1/2/a*ln(sin(f*x+exp(1))^2)+b/(-2*b*a+2*a^2)*ln(abs(sin(f*x+exp(1))^2*b-sin(f*x+exp(1))^2*a+a)))","F(-2)",0
215,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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)))*1/16/a+(4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/16/a^2/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+1/(2*a-2*b)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-b^2/(4*a^3-4*a^2*b)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(-a-b)*1/4/a^2*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
216,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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*a+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+256*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b)*1/4096/a^2+(-48*((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))))^2*a*b-48*((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^2+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-a^2)*1/128/a^3/((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2-1/(2*a-2*b)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+b^3/(4*a^4-4*a^3*b)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(a^2+a*b+b^2)*1/4/a^3*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
217,1,118,0,21.517127," ","integrate(tan(f*x+e)^6/(a+b*tan(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}}\right)\right)} a^{3}}{{\left(a b^{2} - b^{3}\right)} \sqrt{a b}} - \frac{3 \, {\left(f x + e\right)}}{a - b} + \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)))*a^3/((a*b^2 - b^3)*sqrt(a*b)) - 3*(f*x + e)/(a - b) + (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
218,1,86,0,2.979741," ","integrate(tan(f*x+e)^4/(a+b*tan(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}}\right)\right)} a^{2}}{{\left(a b - b^{2}\right)} \sqrt{a b}} - \frac{f x + e}{a - 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)))*a^2/((a*b - b^2)*sqrt(a*b)) - (f*x + e)/(a - b) - tan(f*x + e)/b)/f","A",0
219,1,67,0,2.078301," ","integrate(tan(f*x+e)^2/(a+b*tan(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}}\right)\right)} a}{\sqrt{a b} {\left(a - b\right)}} - \frac{f x + e}{a - b}}{f}"," ",0,"((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))*a/(sqrt(a*b)*(a - b)) - (f*x + e)/(a - b))/f","A",0
220,1,68,0,1.546646," ","integrate(1/(a+b*tan(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}}\right)\right)} b}{\sqrt{a b} {\left(a - b\right)}} - \frac{f x + e}{a - b}}{f}"," ",0,"-((pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))*b/(sqrt(a*b)*(a - b)) - (f*x + e)/(a - b))/f","A",0
221,1,86,0,2.475562," ","integrate(cot(f*x+e)^2/(a+b*tan(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}}\right)\right)} b^{2}}{{\left(a^{2} - a b\right)} \sqrt{a b}} - \frac{f x + e}{a - b} - \frac{1}{a \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/((a^2 - a*b)*sqrt(a*b)) - (f*x + e)/(a - b) - 1/(a*tan(f*x + e)))/f","A",0
222,1,118,0,3.246357," ","integrate(cot(f*x+e)^4/(a+b*tan(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}}\right)\right)} b^{3}}{{\left(a^{3} - a^{2} b\right)} \sqrt{a b}} - \frac{3 \, {\left(f x + e\right)}}{a - b} - \frac{3 \, a \tan\left(f x + e\right)^{2} + 3 \, b \tan\left(f x + e\right)^{2} - a}{a^{2} \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^3/((a^3 - a^2*b)*sqrt(a*b)) - 3*(f*x + e)/(a - b) - (3*a*tan(f*x + e)^2 + 3*b*tan(f*x + e)^2 - a)/(a^2*tan(f*x + e)^3))/f","A",0
223,1,164,0,3.845417," ","integrate(cot(f*x+e)^6/(a+b*tan(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}}\right)\right)} b^{4}}{{\left(a^{4} - a^{3} b\right)} \sqrt{a b}} - \frac{15 \, {\left(f x + e\right)}}{a - b} - \frac{15 \, a^{2} \tan\left(f x + e\right)^{4} + 15 \, a b \tan\left(f x + e\right)^{4} + 15 \, b^{2} \tan\left(f x + e\right)^{4} - 5 \, a^{2} \tan\left(f x + e\right)^{2} - 5 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{2}}{a^{3} \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^4/((a^4 - a^3*b)*sqrt(a*b)) - 15*(f*x + e)/(a - b) - (15*a^2*tan(f*x + e)^4 + 15*a*b*tan(f*x + e)^4 + 15*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 5*a*b*tan(f*x + e)^2 + 3*a^2)/(a^3*tan(f*x + e)^5))/f","A",0
224,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*tan(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+8*a*b-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))+(a^3-2*a^2*b)/(4*a^3*b^2-8*a^2*b^3+4*a*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))))*a-2*a+4*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^3+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*b+2*a^3-12*a^2*b+12*a*b^2)/(4*a^2*b^2-8*a*b^3+4*b^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))))*a-2*a+4*b))","F(-2)",0
225,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*tan(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^2-4*a*b+2*b^2)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+1/(4*a^2-8*a*b+4*b^2)*ln(((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)))*a+4*(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))))^2*a+6*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)/(4*a^2-8*a*b+4*b^2)/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
226,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*tan(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^2-4*a*b+2*b^2)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/(4*a^2-8*a*b+4*b^2)*ln(((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)))*a+4*(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))))^2*a^2-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^2+a^2)/(4*a^3-8*a^2*b+4*a*b^2)/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
227,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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)1/f*(1/2/a^2*ln(sin(f*x+exp(1))^2)+(-b^2+2*b*a)/(2*b^2*a^2-4*b*a^3+2*a^4)*ln(abs(sin(f*x+exp(1))^2*b-sin(f*x+exp(1))^2*a+a))+(sin(f*x+exp(1))^2*b^2-2*sin(f*x+exp(1))^2*b*a+2*b*a)/(2*b*a^2-2*a^3)/(sin(f*x+exp(1))^2*b-sin(f*x+exp(1))^2*a+a))","F(-2)",0
228,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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)))*1/16/a^2+(4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4+12*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^2-8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3-11*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4+22*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b-27*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3+16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4+10*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4-24*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b+42*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^2-20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3-3*a^4+6*a^3*b-3*a^2*b^2)/(48*a^5-96*a^4*b+48*a^3*b^2)/(((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*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)))*a)+1/(2*a^2-4*a*b+2*b^2)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(-a-2*b)*1/4/a^3*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-3*a*b^2+2*b^3)/(4*a^5-8*a^4*b+4*a^3*b^2)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
229,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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*((-4*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^3+3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^4+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^3-18*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^4+8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b^5-4*a^2*b^3+3*a*b^4)/(4*a^6-8*a^5*b+4*a^4*b^2)/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2-96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b-144*((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^2+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b-a^2)*1/128/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*a^2+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+512*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b)*1/4096/a^4-1/(2*a^2-4*a*b+2*b^2)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(4*a*b^3-3*b^4)/(4*a^6-8*a^5*b+4*a^4*b^2)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(a^2+2*a*b+3*b^2)*1/4/a^4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1)))))","F(-2)",0
230,1,149,0,34.532744," ","integrate(tan(f*x+e)^6/(a+b*tan(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\right)}} - \frac{{\left(3 \, a^{3} - 5 \, a^{2} b\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}}\right)\right)}}{{\left(a^{2} b^{2} - 2 \, a b^{3} + b^{4}\right)} \sqrt{a b}} - \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, 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)) - (3*a^3 - 5*a^2*b)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^2*b^2 - 2*a*b^3 + b^4)*sqrt(a*b)) - 2*(f*x + e)/(a^2 - 2*a*b + b^2) + 2*tan(f*x + e)/b^2)/f","A",0
231,1,127,0,3.695352," ","integrate(tan(f*x+e)^4/(a+b*tan(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}}\right)\right)} {\left(a^{2} - 3 \, a b\right)}}{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} \sqrt{a b}} + \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} - \frac{a \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a\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)))*(a^2 - 3*a*b)/((a^2*b - 2*a*b^2 + b^3)*sqrt(a*b)) + 2*(f*x + e)/(a^2 - 2*a*b + b^2) - a*tan(f*x + e)/((b*tan(f*x + e)^2 + a)*(a*b - b^2)))/f","A",0
232,1,112,0,2.037915," ","integrate(tan(f*x+e)^2/(a+b*tan(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}}\right)\right)} {\left(a + b\right)}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a b}} - \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{\tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a\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)))*(a + b)/((a^2 - 2*a*b + b^2)*sqrt(a*b)) - 2*(f*x + e)/(a^2 - 2*a*b + b^2) + tan(f*x + e)/((b*tan(f*x + e)^2 + a)*(a - b)))/f","A",0
233,1,127,0,2.284597," ","integrate(1/(a+b*tan(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}}\right)\right)} {\left(3 \, a b - b^{2}\right)}}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{a b}} - \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{b \tan\left(f x + e\right)}{{\left(b \tan\left(f x + e\right)^{2} + a\right)} {\left(a^{2} - 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)))*(3*a*b - b^2)/((a^3 - 2*a^2*b + a*b^2)*sqrt(a*b)) - 2*(f*x + e)/(a^2 - 2*a*b + b^2) + b*tan(f*x + e)/((b*tan(f*x + e)^2 + a)*(a^2 - a*b)))/f","A",0
234,1,171,0,2.597201," ","integrate(cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, a b^{2} - 3 \, 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}}\right)\right)}}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} \sqrt{a b}} - \frac{2 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} - \frac{2 \, a b \tan\left(f x + e\right)^{2} - 3 \, 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)\right)} {\left(a^{3} - a^{2} b\right)}}}{2 \, f}"," ",0,"1/2*((5*a*b^2 - 3*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^4 - 2*a^3*b + a^2*b^2)*sqrt(a*b)) - 2*(f*x + e)/(a^2 - 2*a*b + b^2) - (2*a*b*tan(f*x + e)^2 - 3*b^2*tan(f*x + e)^2 + 2*a^2 - 2*a*b)/((b*tan(f*x + e)^3 + a*tan(f*x + e))*(a^3 - a^2*b)))/f","A",0
235,1,179,0,6.539132," ","integrate(cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, 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\right)}} + \frac{3 \, {\left(7 \, a b^{3} - 5 \, 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}}\right)\right)}}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{a b}} - \frac{6 \, {\left(f x + e\right)}}{a^{2} - 2 \, a b + b^{2}} - \frac{2 \, {\left(3 \, a \tan\left(f x + e\right)^{2} + 6 \, b \tan\left(f x + e\right)^{2} - a\right)}}{a^{3} \tan\left(f x + e\right)^{3}}}{6 \, f}"," ",0,"-1/6*(3*b^3*tan(f*x + e)/((a^4 - a^3*b)*(b*tan(f*x + e)^2 + a)) + 3*(7*a*b^3 - 5*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^5 - 2*a^4*b + a^3*b^2)*sqrt(a*b)) - 6*(f*x + e)/(a^2 - 2*a*b + b^2) - 2*(3*a*tan(f*x + e)^2 + 6*b*tan(f*x + e)^2 - a)/(a^3*tan(f*x + e)^3))/f","A",0
236,1,225,0,7.348522," ","integrate(cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^2,x, algorithm=""giac"")","\frac{\frac{15 \, 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\right)}} + \frac{15 \, {\left(9 \, a b^{4} - 7 \, 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}}\right)\right)}}{{\left(a^{6} - 2 \, a^{5} b + a^{4} b^{2}\right)} \sqrt{a b}} - \frac{30 \, {\left(f x + e\right)}}{a^{2} - 2 \, 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} + 45 \, b^{2} \tan\left(f x + e\right)^{4} - 5 \, a^{2} \tan\left(f x + e\right)^{2} - 10 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{2}\right)}}{a^{4} \tan\left(f x + e\right)^{5}}}{30 \, f}"," ",0,"1/30*(15*b^4*tan(f*x + e)/((a^5 - a^4*b)*(b*tan(f*x + e)^2 + a)) + 15*(9*a*b^4 - 7*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^6 - 2*a^5*b + a^4*b^2)*sqrt(a*b)) - 30*(f*x + e)/(a^2 - 2*a*b + b^2) - 2*(15*a^2*tan(f*x + e)^4 + 30*a*b*tan(f*x + e)^4 + 45*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 10*a*b*tan(f*x + e)^2 + 3*a^2)/(a^4*tan(f*x + e)^5))/f","A",0
237,-2,0,0,0.000000," ","integrate(tan(f*x+e)^5/(a+b*tan(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^3-6*a^2*b+6*a*b^2-2*b^3)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/(4*a^3-12*a^2*b+12*a*b^2-4*b^3)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2-20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2+32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b+50*((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))))^2*a*b+96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^2-20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b+3*a^2)/(8*a^3-24*a^2*b+24*a*b^2-8*b^3)/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)^2)","F(-2)",0
238,-2,0,0,0.000000," ","integrate(tan(f*x+e)^3/(a+b*tan(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^3-6*a^2*b+6*a*b^2-2*b^3)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+1/(4*a^3-12*a^2*b+12*a*b^2-4*b^3)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(-3*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3+20*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3-32*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b-34*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3+80*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^2-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^3+20*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3-32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b-3*a^3)/(8*a^4-24*a^3*b+24*a^2*b^2-8*a*b^3)/(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)^2)","F(-2)",0
239,-2,0,0,0.000000," ","integrate(tan(f*x+e)/(a+b*tan(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^3-6*a^2*b+6*a*b^2-2*b^3)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))-1/(4*a^3-12*a^2*b+12*a*b^2-4*b^3)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)+(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*a^4+8*((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^2-8*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^3+18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b-48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^2+80*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^3-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^4-12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4+8*(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^2-8*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^3+3*a^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-2*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a)^2)","F(-2)",0
240,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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)1/f*(1/2/a^3*ln(sin(f*x+exp(1))^2)+(-b^3+3*b^2*a-3*b*a^2)/(2*b^3*a^3-6*b^2*a^4+6*b*a^5-2*a^6)*ln(abs(sin(f*x+exp(1))^2*b-sin(f*x+exp(1))^2*a+a))+(3*sin(f*x+exp(1))^4*b^4-12*sin(f*x+exp(1))^4*b^3*a+18*sin(f*x+exp(1))^4*b^2*a^2-9*sin(f*x+exp(1))^4*b*a^3+8*sin(f*x+exp(1))^2*b^3*a-24*sin(f*x+exp(1))^2*b^2*a^2+18*sin(f*x+exp(1))^2*b*a^3+6*b^2*a^2-9*b*a^3)/(4*b^2*a^3-8*b*a^4+4*a^5)/(sin(f*x+exp(1))^2*b-sin(f*x+exp(1))^2*a+a)^2)","F(-2)",0
241,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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*((4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a+12*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b-a)*1/16/a^4/(1-cos(f*x+exp(1)))*(1+cos(f*x+exp(1)))+(18*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^4*b^2-24*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3*b^3+9*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2*b^4-72*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4*b^2+208*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b^3-172*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^4+48*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^5+108*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4*b^2-368*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b^3+502*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^4-288*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a*b^5+64*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*b^6-72*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4*b^2+208*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b^3-172*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b^4+48*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a*b^5+18*a^4*b^2-24*a^3*b^3+9*a^2*b^4)/(8*a^7-24*a^6*b+24*a^5*b^2-8*a^4*b^3)/(((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)))*a+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)))*1/16/a^3+1/(2*a^3-6*a^2*b+6*a*b^2-2*b^3)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(-a-3*b)*1/4/a^4*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(-6*a^2*b^2+8*a*b^3-3*b^4)/(4*a^7-12*a^6*b+12*a^5*b^2-4*a^4*b^3)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
242,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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*a^3+384*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3+768*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^2*b)*1/4096/a^6+(-16*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^7-160*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^4*b^3+240*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^3*b^4-96*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^6*a^2*b^5+76*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^7-140*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^6*b-36*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^5*b^2+700*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^4*b^3-1624*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^3*b^4+1152*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a^2*b^5-256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^5*a*b^6-145*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^7+403*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^6*b-211*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^5*b^2-1487*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^4*b^3+3296*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^3*b^4-2560*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a^2*b^5+256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*a*b^6+256*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^4*b^7+140*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^7-412*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^6*b+204*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^5*b^2+1356*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^4*b^3-3272*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^3*b^4+2496*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a^2*b^5-640*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^3*a*b^6-70*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^7+178*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^6*b-34*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^5*b^2-586*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^4*b^3+752*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^3*b^4-272*((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1))))^2*a^2*b^5+16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^7-32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^6*b+32*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^4*b^3-16*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*a^3*b^4-a^7+3*a^6*b-3*a^5*b^2+a^4*b^3)/(128*a^8-384*a^7*b+384*a^6*b^2-128*a^5*b^3)/(((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*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)))*a)^2-1/(2*a^3-6*a^2*b+6*a*b^2-2*b^3)*ln(abs((1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))+1))+(a^2+3*a*b+6*b^2)*1/4/a^5*ln(abs(1-cos(f*x+exp(1)))/abs(1+cos(f*x+exp(1))))+(10*a^2*b^3-15*a*b^4+6*b^5)/(4*a^8-12*a^7*b+12*a^6*b^2-4*a^5*b^3)*ln(((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)))*a+4*(1-cos(f*x+exp(1)))/(1+cos(f*x+exp(1)))*b+a))","F(-2)",0
243,1,215,0,33.170660," ","integrate(tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(3 \, a^{3} - 10 \, a^{2} b + 15 \, 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}}\right)\right)}}{{\left(a^{3} b^{2} - 3 \, a^{2} b^{3} + 3 \, a b^{4} - b^{5}\right)} \sqrt{a b}} - \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{5 \, a^{2} b \tan\left(f x + e\right)^{3} - 9 \, a b^{2} \tan\left(f x + e\right)^{3} + 3 \, a^{3} \tan\left(f x + e\right) - 7 \, a^{2} b \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\right)}^{2}}}{8 \, f}"," ",0,"1/8*((3*a^3 - 10*a^2*b + 15*a*b^2)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^3*b^2 - 3*a^2*b^3 + 3*a*b^4 - b^5)*sqrt(a*b)) - 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - (5*a^2*b*tan(f*x + e)^3 - 9*a*b^2*tan(f*x + e)^3 + 3*a^3*tan(f*x + e) - 7*a^2*b*tan(f*x + e))/((a^2*b^2 - 2*a*b^3 + b^4)*(b*tan(f*x + e)^2 + a)^2))/f","A",0
244,1,199,0,4.024049," ","integrate(tan(f*x+e)^4/(a+b*tan(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}}\right)\right)} {\left(a^{2} - 6 \, a b - 3 \, b^{2}\right)}}{{\left(a^{3} b - 3 \, a^{2} b^{2} + 3 \, a b^{3} - b^{4}\right)} \sqrt{a b}} + \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{a b \tan\left(f x + e\right)^{3} - 5 \, 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)}{{\left(a^{2} b - 2 \, a b^{2} + b^{3}\right)} {\left(b \tan\left(f x + e\right)^{2} + a\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)))*(a^2 - 6*a*b - 3*b^2)/((a^3*b - 3*a^2*b^2 + 3*a*b^3 - b^4)*sqrt(a*b)) + 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (a*b*tan(f*x + e)^3 - 5*b^2*tan(f*x + e)^3 - a^2*tan(f*x + e) - 3*a*b*tan(f*x + e))/((a^2*b - 2*a*b^2 + b^3)*(b*tan(f*x + e)^2 + a)^2))/f","A",0
245,1,200,0,3.582130," ","integrate(tan(f*x+e)^2/(a+b*tan(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}}\right)\right)} {\left(3 \, a^{2} + 6 \, a b - b^{2}\right)}}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} \sqrt{a b}} - \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{3 \, a b \tan\left(f x + e\right)^{3} + b^{2} \tan\left(f x + e\right)^{3} + 5 \, a^{2} \tan\left(f x + e\right) - a b \tan\left(f x + e\right)}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a\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)))*(3*a^2 + 6*a*b - b^2)/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*sqrt(a*b)) - 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (3*a*b*tan(f*x + e)^3 + b^2*tan(f*x + e)^3 + 5*a^2*tan(f*x + e) - a*b*tan(f*x + e))/((a^3 - 2*a^2*b + a*b^2)*(b*tan(f*x + e)^2 + a)^2))/f","A",0
246,1,213,0,1.746887," ","integrate(1/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b - 10 \, a b^{2} + 3 \, 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}}\right)\right)}}{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} \sqrt{a b}} - \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{7 \, a b^{2} \tan\left(f x + e\right)^{3} - 3 \, 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)}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2}}}{8 \, f}"," ",0,"-1/8*((15*a^2*b - 10*a*b^2 + 3*b^3)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*sqrt(a*b)) - 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (7*a*b^2*tan(f*x + e)^3 - 3*b^3*tan(f*x + e)^3 + 9*a^2*b*tan(f*x + e) - 5*a*b^2*tan(f*x + e))/((a^4 - 2*a^3*b + a^2*b^2)*(b*tan(f*x + e)^2 + a)^2))/f","A",0
247,1,231,0,5.475494," ","integrate(cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{{\left(35 \, a^{2} b^{2} - 42 \, a b^{3} + 15 \, 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}}\right)\right)}}{{\left(a^{6} - 3 \, a^{5} b + 3 \, a^{4} b^{2} - a^{3} b^{3}\right)} \sqrt{a b}} - \frac{8 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{11 \, a b^{3} \tan\left(f x + e\right)^{3} - 7 \, b^{4} \tan\left(f x + e\right)^{3} + 13 \, a^{2} b^{2} \tan\left(f x + e\right) - 9 \, a b^{3} \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\right)}^{2}} - \frac{8}{a^{3} \tan\left(f x + e\right)}}{8 \, f}"," ",0,"1/8*((35*a^2*b^2 - 42*a*b^3 + 15*b^4)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^6 - 3*a^5*b + 3*a^4*b^2 - a^3*b^3)*sqrt(a*b)) - 8*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (11*a*b^3*tan(f*x + e)^3 - 7*b^4*tan(f*x + e)^3 + 13*a^2*b^2*tan(f*x + e) - 9*a*b^3*tan(f*x + e))/((a^5 - 2*a^4*b + a^3*b^2)*(b*tan(f*x + e)^2 + a)^2) - 8/(a^3*tan(f*x + e)))/f","A",0
248,1,261,0,7.726667," ","integrate(cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(63 \, a^{2} b^{3} - 90 \, a b^{4} + 35 \, 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}}\right)\right)}}{{\left(a^{7} - 3 \, a^{6} b + 3 \, a^{5} b^{2} - a^{4} b^{3}\right)} \sqrt{a b}} - \frac{24 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{3 \, {\left(15 \, a b^{4} \tan\left(f x + e\right)^{3} - 11 \, b^{5} \tan\left(f x + e\right)^{3} + 17 \, a^{2} b^{3} \tan\left(f x + e\right) - 13 \, a b^{4} \tan\left(f x + e\right)\right)}}{{\left(a^{6} - 2 \, a^{5} b + a^{4} b^{2}\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{2}} - \frac{8 \, {\left(3 \, a \tan\left(f x + e\right)^{2} + 9 \, b \tan\left(f x + e\right)^{2} - a\right)}}{a^{4} \tan\left(f x + e\right)^{3}}}{24 \, f}"," ",0,"-1/24*(3*(63*a^2*b^3 - 90*a*b^4 + 35*b^5)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^7 - 3*a^6*b + 3*a^5*b^2 - a^4*b^3)*sqrt(a*b)) - 24*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 3*(15*a*b^4*tan(f*x + e)^3 - 11*b^5*tan(f*x + e)^3 + 17*a^2*b^3*tan(f*x + e) - 13*a*b^4*tan(f*x + e))/((a^6 - 2*a^5*b + a^4*b^2)*(b*tan(f*x + e)^2 + a)^2) - 8*(3*a*tan(f*x + e)^2 + 9*b*tan(f*x + e)^2 - a)/(a^4*tan(f*x + e)^3))/f","A",0
249,1,307,0,10.511836," ","integrate(cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(99 \, a^{2} b^{4} - 154 \, a b^{5} + 63 \, 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}}\right)\right)}}{{\left(a^{8} - 3 \, a^{7} b + 3 \, a^{6} b^{2} - a^{5} b^{3}\right)} \sqrt{a b}} - \frac{120 \, {\left(f x + e\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{15 \, {\left(19 \, a b^{5} \tan\left(f x + e\right)^{3} - 15 \, b^{6} \tan\left(f x + e\right)^{3} + 21 \, a^{2} b^{4} \tan\left(f x + e\right) - 17 \, a b^{5} \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\right)}^{2}} - \frac{8 \, {\left(15 \, a^{2} \tan\left(f x + e\right)^{4} + 45 \, 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} - 15 \, a b \tan\left(f x + e\right)^{2} + 3 \, a^{2}\right)}}{a^{5} \tan\left(f x + e\right)^{5}}}{120 \, f}"," ",0,"1/120*(15*(99*a^2*b^4 - 154*a*b^5 + 63*b^6)*(pi*floor((f*x + e)/pi + 1/2)*sgn(b) + arctan(b*tan(f*x + e)/sqrt(a*b)))/((a^8 - 3*a^7*b + 3*a^6*b^2 - a^5*b^3)*sqrt(a*b)) - 120*(f*x + e)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 15*(19*a*b^5*tan(f*x + e)^3 - 15*b^6*tan(f*x + e)^3 + 21*a^2*b^4*tan(f*x + e) - 17*a*b^5*tan(f*x + e))/((a^7 - 2*a^6*b + a^5*b^2)*(b*tan(f*x + e)^2 + a)^2) - 8*(15*a^2*tan(f*x + e)^4 + 45*a*b*tan(f*x + e)^4 + 90*b^2*tan(f*x + e)^4 - 5*a^2*tan(f*x + e)^2 - 15*a*b*tan(f*x + e)^2 + 3*a^2)/(a^5*tan(f*x + e)^5))/f","A",0
250,1,2209,0,35.012478," ","integrate((a+b*tan(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{105 \, a^{4} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 420 \, a^{3} b d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} + 630 \, a^{2} b^{2} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 420 \, a b^{3} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} + 105 \, b^{4} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 735 \, a^{4} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 2940 \, a^{3} b d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 4410 \, a^{2} b^{2} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 2940 \, a b^{3} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 735 \, b^{4} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 420 \, a^{3} b \tan\left(d x\right)^{7} \tan\left(c\right)^{6} + 630 \, a^{2} b^{2} \tan\left(d x\right)^{7} \tan\left(c\right)^{6} - 420 \, a b^{3} \tan\left(d x\right)^{7} \tan\left(c\right)^{6} + 105 \, b^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{6} - 420 \, a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 630 \, a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{7} - 420 \, a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 105 \, b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 2205 \, a^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 8820 \, a^{3} b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 13230 \, a^{2} b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 8820 \, a b^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 2205 \, b^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 210 \, a^{2} b^{2} \tan\left(d x\right)^{7} \tan\left(c\right)^{4} + 140 \, a b^{3} \tan\left(d x\right)^{7} \tan\left(c\right)^{4} - 35 \, b^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{4} + 2520 \, a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 4410 \, a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} + 2940 \, a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 735 \, b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} + 2520 \, a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 4410 \, a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} + 2940 \, a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 735 \, b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 210 \, a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{7} + 140 \, a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{7} - 35 \, b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{7} - 3675 \, a^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 14700 \, a^{3} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 22050 \, a^{2} b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 14700 \, a b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 3675 \, b^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 84 \, a b^{3} \tan\left(d x\right)^{7} \tan\left(c\right)^{2} + 21 \, b^{4} \tan\left(d x\right)^{7} \tan\left(c\right)^{2} + 840 \, a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} - 980 \, a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} + 245 \, b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} - 6300 \, a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 11970 \, a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 8820 \, a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 2205 \, b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 6300 \, a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 11970 \, a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 8820 \, a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 2205 \, b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 840 \, a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} - 980 \, a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} + 245 \, b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} - 84 \, a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{7} + 21 \, b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{7} + 3675 \, a^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 14700 \, a^{3} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 22050 \, a^{2} b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 14700 \, a b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3675 \, b^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 15 \, b^{4} \tan\left(d x\right)^{7} + 168 \, a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right) - 147 \, b^{4} \tan\left(d x\right)^{6} \tan\left(c\right) - 1260 \, a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 1680 \, a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 735 \, b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 8400 \, a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 16380 \, a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 12600 \, a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 3675 \, b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 8400 \, a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 16380 \, a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 12600 \, a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 3675 \, b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 1260 \, a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 1680 \, a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 735 \, b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 168 \, a b^{3} \tan\left(d x\right) \tan\left(c\right)^{6} - 147 \, b^{4} \tan\left(d x\right) \tan\left(c\right)^{6} - 15 \, b^{4} \tan\left(c\right)^{7} - 2205 \, a^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 8820 \, a^{3} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 13230 \, a^{2} b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 8820 \, a b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2205 \, b^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 84 \, a b^{3} \tan\left(d x\right)^{5} + 21 \, b^{4} \tan\left(d x\right)^{5} + 840 \, a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 980 \, a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) + 245 \, b^{4} \tan\left(d x\right)^{4} \tan\left(c\right) - 6300 \, a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 11970 \, a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 8820 \, a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 2205 \, b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 6300 \, a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 11970 \, a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 8820 \, a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 2205 \, b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 840 \, a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 980 \, a b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} + 245 \, b^{4} \tan\left(d x\right) \tan\left(c\right)^{4} - 84 \, a b^{3} \tan\left(c\right)^{5} + 21 \, b^{4} \tan\left(c\right)^{5} + 735 \, a^{4} d x \tan\left(d x\right) \tan\left(c\right) - 2940 \, a^{3} b d x \tan\left(d x\right) \tan\left(c\right) + 4410 \, a^{2} b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 2940 \, a b^{3} d x \tan\left(d x\right) \tan\left(c\right) + 735 \, b^{4} d x \tan\left(d x\right) \tan\left(c\right) - 210 \, a^{2} b^{2} \tan\left(d x\right)^{3} + 140 \, a b^{3} \tan\left(d x\right)^{3} - 35 \, b^{4} \tan\left(d x\right)^{3} + 2520 \, a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right) - 4410 \, a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 2940 \, a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) - 735 \, b^{4} \tan\left(d x\right)^{2} \tan\left(c\right) + 2520 \, a^{3} b \tan\left(d x\right) \tan\left(c\right)^{2} - 4410 \, a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 2940 \, a b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} - 735 \, b^{4} \tan\left(d x\right) \tan\left(c\right)^{2} - 210 \, a^{2} b^{2} \tan\left(c\right)^{3} + 140 \, a b^{3} \tan\left(c\right)^{3} - 35 \, b^{4} \tan\left(c\right)^{3} - 105 \, a^{4} d x + 420 \, a^{3} b d x - 630 \, a^{2} b^{2} d x + 420 \, a b^{3} d x - 105 \, b^{4} d x - 420 \, a^{3} b \tan\left(d x\right) + 630 \, a^{2} b^{2} \tan\left(d x\right) - 420 \, a b^{3} \tan\left(d x\right) + 105 \, b^{4} \tan\left(d x\right) - 420 \, a^{3} b \tan\left(c\right) + 630 \, a^{2} b^{2} \tan\left(c\right) - 420 \, a b^{3} \tan\left(c\right) + 105 \, b^{4} \tan\left(c\right)}{105 \, {\left(d \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 7 \, d \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 21 \, d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 35 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 35 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 21 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 7 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/105*(105*a^4*d*x*tan(d*x)^7*tan(c)^7 - 420*a^3*b*d*x*tan(d*x)^7*tan(c)^7 + 630*a^2*b^2*d*x*tan(d*x)^7*tan(c)^7 - 420*a*b^3*d*x*tan(d*x)^7*tan(c)^7 + 105*b^4*d*x*tan(d*x)^7*tan(c)^7 - 735*a^4*d*x*tan(d*x)^6*tan(c)^6 + 2940*a^3*b*d*x*tan(d*x)^6*tan(c)^6 - 4410*a^2*b^2*d*x*tan(d*x)^6*tan(c)^6 + 2940*a*b^3*d*x*tan(d*x)^6*tan(c)^6 - 735*b^4*d*x*tan(d*x)^6*tan(c)^6 - 420*a^3*b*tan(d*x)^7*tan(c)^6 + 630*a^2*b^2*tan(d*x)^7*tan(c)^6 - 420*a*b^3*tan(d*x)^7*tan(c)^6 + 105*b^4*tan(d*x)^7*tan(c)^6 - 420*a^3*b*tan(d*x)^6*tan(c)^7 + 630*a^2*b^2*tan(d*x)^6*tan(c)^7 - 420*a*b^3*tan(d*x)^6*tan(c)^7 + 105*b^4*tan(d*x)^6*tan(c)^7 + 2205*a^4*d*x*tan(d*x)^5*tan(c)^5 - 8820*a^3*b*d*x*tan(d*x)^5*tan(c)^5 + 13230*a^2*b^2*d*x*tan(d*x)^5*tan(c)^5 - 8820*a*b^3*d*x*tan(d*x)^5*tan(c)^5 + 2205*b^4*d*x*tan(d*x)^5*tan(c)^5 - 210*a^2*b^2*tan(d*x)^7*tan(c)^4 + 140*a*b^3*tan(d*x)^7*tan(c)^4 - 35*b^4*tan(d*x)^7*tan(c)^4 + 2520*a^3*b*tan(d*x)^6*tan(c)^5 - 4410*a^2*b^2*tan(d*x)^6*tan(c)^5 + 2940*a*b^3*tan(d*x)^6*tan(c)^5 - 735*b^4*tan(d*x)^6*tan(c)^5 + 2520*a^3*b*tan(d*x)^5*tan(c)^6 - 4410*a^2*b^2*tan(d*x)^5*tan(c)^6 + 2940*a*b^3*tan(d*x)^5*tan(c)^6 - 735*b^4*tan(d*x)^5*tan(c)^6 - 210*a^2*b^2*tan(d*x)^4*tan(c)^7 + 140*a*b^3*tan(d*x)^4*tan(c)^7 - 35*b^4*tan(d*x)^4*tan(c)^7 - 3675*a^4*d*x*tan(d*x)^4*tan(c)^4 + 14700*a^3*b*d*x*tan(d*x)^4*tan(c)^4 - 22050*a^2*b^2*d*x*tan(d*x)^4*tan(c)^4 + 14700*a*b^3*d*x*tan(d*x)^4*tan(c)^4 - 3675*b^4*d*x*tan(d*x)^4*tan(c)^4 - 84*a*b^3*tan(d*x)^7*tan(c)^2 + 21*b^4*tan(d*x)^7*tan(c)^2 + 840*a^2*b^2*tan(d*x)^6*tan(c)^3 - 980*a*b^3*tan(d*x)^6*tan(c)^3 + 245*b^4*tan(d*x)^6*tan(c)^3 - 6300*a^3*b*tan(d*x)^5*tan(c)^4 + 11970*a^2*b^2*tan(d*x)^5*tan(c)^4 - 8820*a*b^3*tan(d*x)^5*tan(c)^4 + 2205*b^4*tan(d*x)^5*tan(c)^4 - 6300*a^3*b*tan(d*x)^4*tan(c)^5 + 11970*a^2*b^2*tan(d*x)^4*tan(c)^5 - 8820*a*b^3*tan(d*x)^4*tan(c)^5 + 2205*b^4*tan(d*x)^4*tan(c)^5 + 840*a^2*b^2*tan(d*x)^3*tan(c)^6 - 980*a*b^3*tan(d*x)^3*tan(c)^6 + 245*b^4*tan(d*x)^3*tan(c)^6 - 84*a*b^3*tan(d*x)^2*tan(c)^7 + 21*b^4*tan(d*x)^2*tan(c)^7 + 3675*a^4*d*x*tan(d*x)^3*tan(c)^3 - 14700*a^3*b*d*x*tan(d*x)^3*tan(c)^3 + 22050*a^2*b^2*d*x*tan(d*x)^3*tan(c)^3 - 14700*a*b^3*d*x*tan(d*x)^3*tan(c)^3 + 3675*b^4*d*x*tan(d*x)^3*tan(c)^3 - 15*b^4*tan(d*x)^7 + 168*a*b^3*tan(d*x)^6*tan(c) - 147*b^4*tan(d*x)^6*tan(c) - 1260*a^2*b^2*tan(d*x)^5*tan(c)^2 + 1680*a*b^3*tan(d*x)^5*tan(c)^2 - 735*b^4*tan(d*x)^5*tan(c)^2 + 8400*a^3*b*tan(d*x)^4*tan(c)^3 - 16380*a^2*b^2*tan(d*x)^4*tan(c)^3 + 12600*a*b^3*tan(d*x)^4*tan(c)^3 - 3675*b^4*tan(d*x)^4*tan(c)^3 + 8400*a^3*b*tan(d*x)^3*tan(c)^4 - 16380*a^2*b^2*tan(d*x)^3*tan(c)^4 + 12600*a*b^3*tan(d*x)^3*tan(c)^4 - 3675*b^4*tan(d*x)^3*tan(c)^4 - 1260*a^2*b^2*tan(d*x)^2*tan(c)^5 + 1680*a*b^3*tan(d*x)^2*tan(c)^5 - 735*b^4*tan(d*x)^2*tan(c)^5 + 168*a*b^3*tan(d*x)*tan(c)^6 - 147*b^4*tan(d*x)*tan(c)^6 - 15*b^4*tan(c)^7 - 2205*a^4*d*x*tan(d*x)^2*tan(c)^2 + 8820*a^3*b*d*x*tan(d*x)^2*tan(c)^2 - 13230*a^2*b^2*d*x*tan(d*x)^2*tan(c)^2 + 8820*a*b^3*d*x*tan(d*x)^2*tan(c)^2 - 2205*b^4*d*x*tan(d*x)^2*tan(c)^2 - 84*a*b^3*tan(d*x)^5 + 21*b^4*tan(d*x)^5 + 840*a^2*b^2*tan(d*x)^4*tan(c) - 980*a*b^3*tan(d*x)^4*tan(c) + 245*b^4*tan(d*x)^4*tan(c) - 6300*a^3*b*tan(d*x)^3*tan(c)^2 + 11970*a^2*b^2*tan(d*x)^3*tan(c)^2 - 8820*a*b^3*tan(d*x)^3*tan(c)^2 + 2205*b^4*tan(d*x)^3*tan(c)^2 - 6300*a^3*b*tan(d*x)^2*tan(c)^3 + 11970*a^2*b^2*tan(d*x)^2*tan(c)^3 - 8820*a*b^3*tan(d*x)^2*tan(c)^3 + 2205*b^4*tan(d*x)^2*tan(c)^3 + 840*a^2*b^2*tan(d*x)*tan(c)^4 - 980*a*b^3*tan(d*x)*tan(c)^4 + 245*b^4*tan(d*x)*tan(c)^4 - 84*a*b^3*tan(c)^5 + 21*b^4*tan(c)^5 + 735*a^4*d*x*tan(d*x)*tan(c) - 2940*a^3*b*d*x*tan(d*x)*tan(c) + 4410*a^2*b^2*d*x*tan(d*x)*tan(c) - 2940*a*b^3*d*x*tan(d*x)*tan(c) + 735*b^4*d*x*tan(d*x)*tan(c) - 210*a^2*b^2*tan(d*x)^3 + 140*a*b^3*tan(d*x)^3 - 35*b^4*tan(d*x)^3 + 2520*a^3*b*tan(d*x)^2*tan(c) - 4410*a^2*b^2*tan(d*x)^2*tan(c) + 2940*a*b^3*tan(d*x)^2*tan(c) - 735*b^4*tan(d*x)^2*tan(c) + 2520*a^3*b*tan(d*x)*tan(c)^2 - 4410*a^2*b^2*tan(d*x)*tan(c)^2 + 2940*a*b^3*tan(d*x)*tan(c)^2 - 735*b^4*tan(d*x)*tan(c)^2 - 210*a^2*b^2*tan(c)^3 + 140*a*b^3*tan(c)^3 - 35*b^4*tan(c)^3 - 105*a^4*d*x + 420*a^3*b*d*x - 630*a^2*b^2*d*x + 420*a*b^3*d*x - 105*b^4*d*x - 420*a^3*b*tan(d*x) + 630*a^2*b^2*tan(d*x) - 420*a*b^3*tan(d*x) + 105*b^4*tan(d*x) - 420*a^3*b*tan(c) + 630*a^2*b^2*tan(c) - 420*a*b^3*tan(c) + 105*b^4*tan(c))/(d*tan(d*x)^7*tan(c)^7 - 7*d*tan(d*x)^6*tan(c)^6 + 21*d*tan(d*x)^5*tan(c)^5 - 35*d*tan(d*x)^4*tan(c)^4 + 35*d*tan(d*x)^3*tan(c)^3 - 21*d*tan(d*x)^2*tan(c)^2 + 7*d*tan(d*x)*tan(c) - d)","B",0
251,1,1027,0,5.617745," ","integrate((a+b*tan(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, a^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 45 \, a^{2} b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 45 \, a b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 15 \, b^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 75 \, a^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 225 \, a^{2} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 225 \, a b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 75 \, b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 45 \, a^{2} b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 45 \, a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 15 \, b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 45 \, a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 45 \, a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 15 \, b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 150 \, a^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 450 \, a^{2} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 450 \, a b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 150 \, b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 15 \, a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 5 \, b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 180 \, a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 225 \, a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 75 \, b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 180 \, a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 225 \, a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 75 \, b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 15 \, a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 5 \, b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 150 \, a^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 450 \, a^{2} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 450 \, a b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 150 \, b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 3 \, b^{3} \tan\left(d x\right)^{5} + 30 \, a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 25 \, b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) - 270 \, a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 360 \, a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 150 \, b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 270 \, a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 360 \, a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 150 \, b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 30 \, a b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 25 \, b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} - 3 \, b^{3} \tan\left(c\right)^{5} + 75 \, a^{3} d x \tan\left(d x\right) \tan\left(c\right) - 225 \, a^{2} b d x \tan\left(d x\right) \tan\left(c\right) + 225 \, a b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 75 \, b^{3} d x \tan\left(d x\right) \tan\left(c\right) - 15 \, a b^{2} \tan\left(d x\right)^{3} + 5 \, b^{3} \tan\left(d x\right)^{3} + 180 \, a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right) - 225 \, a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 75 \, b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 180 \, a^{2} b \tan\left(d x\right) \tan\left(c\right)^{2} - 225 \, a b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 75 \, b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} - 15 \, a b^{2} \tan\left(c\right)^{3} + 5 \, b^{3} \tan\left(c\right)^{3} - 15 \, a^{3} d x + 45 \, a^{2} b d x - 45 \, a b^{2} d x + 15 \, b^{3} d x - 45 \, a^{2} b \tan\left(d x\right) + 45 \, a b^{2} \tan\left(d x\right) - 15 \, b^{3} \tan\left(d x\right) - 45 \, a^{2} b \tan\left(c\right) + 45 \, a b^{2} \tan\left(c\right) - 15 \, b^{3} \tan\left(c\right)}{15 \, {\left(d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 5 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 10 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 10 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 5 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/15*(15*a^3*d*x*tan(d*x)^5*tan(c)^5 - 45*a^2*b*d*x*tan(d*x)^5*tan(c)^5 + 45*a*b^2*d*x*tan(d*x)^5*tan(c)^5 - 15*b^3*d*x*tan(d*x)^5*tan(c)^5 - 75*a^3*d*x*tan(d*x)^4*tan(c)^4 + 225*a^2*b*d*x*tan(d*x)^4*tan(c)^4 - 225*a*b^2*d*x*tan(d*x)^4*tan(c)^4 + 75*b^3*d*x*tan(d*x)^4*tan(c)^4 - 45*a^2*b*tan(d*x)^5*tan(c)^4 + 45*a*b^2*tan(d*x)^5*tan(c)^4 - 15*b^3*tan(d*x)^5*tan(c)^4 - 45*a^2*b*tan(d*x)^4*tan(c)^5 + 45*a*b^2*tan(d*x)^4*tan(c)^5 - 15*b^3*tan(d*x)^4*tan(c)^5 + 150*a^3*d*x*tan(d*x)^3*tan(c)^3 - 450*a^2*b*d*x*tan(d*x)^3*tan(c)^3 + 450*a*b^2*d*x*tan(d*x)^3*tan(c)^3 - 150*b^3*d*x*tan(d*x)^3*tan(c)^3 - 15*a*b^2*tan(d*x)^5*tan(c)^2 + 5*b^3*tan(d*x)^5*tan(c)^2 + 180*a^2*b*tan(d*x)^4*tan(c)^3 - 225*a*b^2*tan(d*x)^4*tan(c)^3 + 75*b^3*tan(d*x)^4*tan(c)^3 + 180*a^2*b*tan(d*x)^3*tan(c)^4 - 225*a*b^2*tan(d*x)^3*tan(c)^4 + 75*b^3*tan(d*x)^3*tan(c)^4 - 15*a*b^2*tan(d*x)^2*tan(c)^5 + 5*b^3*tan(d*x)^2*tan(c)^5 - 150*a^3*d*x*tan(d*x)^2*tan(c)^2 + 450*a^2*b*d*x*tan(d*x)^2*tan(c)^2 - 450*a*b^2*d*x*tan(d*x)^2*tan(c)^2 + 150*b^3*d*x*tan(d*x)^2*tan(c)^2 - 3*b^3*tan(d*x)^5 + 30*a*b^2*tan(d*x)^4*tan(c) - 25*b^3*tan(d*x)^4*tan(c) - 270*a^2*b*tan(d*x)^3*tan(c)^2 + 360*a*b^2*tan(d*x)^3*tan(c)^2 - 150*b^3*tan(d*x)^3*tan(c)^2 - 270*a^2*b*tan(d*x)^2*tan(c)^3 + 360*a*b^2*tan(d*x)^2*tan(c)^3 - 150*b^3*tan(d*x)^2*tan(c)^3 + 30*a*b^2*tan(d*x)*tan(c)^4 - 25*b^3*tan(d*x)*tan(c)^4 - 3*b^3*tan(c)^5 + 75*a^3*d*x*tan(d*x)*tan(c) - 225*a^2*b*d*x*tan(d*x)*tan(c) + 225*a*b^2*d*x*tan(d*x)*tan(c) - 75*b^3*d*x*tan(d*x)*tan(c) - 15*a*b^2*tan(d*x)^3 + 5*b^3*tan(d*x)^3 + 180*a^2*b*tan(d*x)^2*tan(c) - 225*a*b^2*tan(d*x)^2*tan(c) + 75*b^3*tan(d*x)^2*tan(c) + 180*a^2*b*tan(d*x)*tan(c)^2 - 225*a*b^2*tan(d*x)*tan(c)^2 + 75*b^3*tan(d*x)*tan(c)^2 - 15*a*b^2*tan(c)^3 + 5*b^3*tan(c)^3 - 15*a^3*d*x + 45*a^2*b*d*x - 45*a*b^2*d*x + 15*b^3*d*x - 45*a^2*b*tan(d*x) + 45*a*b^2*tan(d*x) - 15*b^3*tan(d*x) - 45*a^2*b*tan(c) + 45*a*b^2*tan(c) - 15*b^3*tan(c))/(d*tan(d*x)^5*tan(c)^5 - 5*d*tan(d*x)^4*tan(c)^4 + 10*d*tan(d*x)^3*tan(c)^3 - 10*d*tan(d*x)^2*tan(c)^2 + 5*d*tan(d*x)*tan(c) - d)","B",0
252,1,359,0,1.482738," ","integrate((a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, a b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3 \, b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 9 \, a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 18 \, a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 9 \, b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 6 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 3 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 6 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 3 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 9 \, a^{2} d x \tan\left(d x\right) \tan\left(c\right) - 18 \, a b d x \tan\left(d x\right) \tan\left(c\right) + 9 \, b^{2} d x \tan\left(d x\right) \tan\left(c\right) - b^{2} \tan\left(d x\right)^{3} + 12 \, a b \tan\left(d x\right)^{2} \tan\left(c\right) - 9 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 12 \, a b \tan\left(d x\right) \tan\left(c\right)^{2} - 9 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - b^{2} \tan\left(c\right)^{3} - 3 \, a^{2} d x + 6 \, a b d x - 3 \, b^{2} d x - 6 \, a b \tan\left(d x\right) + 3 \, b^{2} \tan\left(d x\right) - 6 \, a b \tan\left(c\right) + 3 \, b^{2} \tan\left(c\right)}{3 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/3*(3*a^2*d*x*tan(d*x)^3*tan(c)^3 - 6*a*b*d*x*tan(d*x)^3*tan(c)^3 + 3*b^2*d*x*tan(d*x)^3*tan(c)^3 - 9*a^2*d*x*tan(d*x)^2*tan(c)^2 + 18*a*b*d*x*tan(d*x)^2*tan(c)^2 - 9*b^2*d*x*tan(d*x)^2*tan(c)^2 - 6*a*b*tan(d*x)^3*tan(c)^2 + 3*b^2*tan(d*x)^3*tan(c)^2 - 6*a*b*tan(d*x)^2*tan(c)^3 + 3*b^2*tan(d*x)^2*tan(c)^3 + 9*a^2*d*x*tan(d*x)*tan(c) - 18*a*b*d*x*tan(d*x)*tan(c) + 9*b^2*d*x*tan(d*x)*tan(c) - b^2*tan(d*x)^3 + 12*a*b*tan(d*x)^2*tan(c) - 9*b^2*tan(d*x)^2*tan(c) + 12*a*b*tan(d*x)*tan(c)^2 - 9*b^2*tan(d*x)*tan(c)^2 - b^2*tan(c)^3 - 3*a^2*d*x + 6*a*b*d*x - 3*b^2*d*x - 6*a*b*tan(d*x) + 3*b^2*tan(d*x) - 6*a*b*tan(c) + 3*b^2*tan(c))/(d*tan(d*x)^3*tan(c)^3 - 3*d*tan(d*x)^2*tan(c)^2 + 3*d*tan(d*x)*tan(c) - d)","B",0
253,-2,0,0,0.000000," ","integrate(a+b*tan(d*x+c)^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)b*(-4*d*x*tan(c)*tan(d*x)+4*d*x-pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))*tan(c)*tan(d*x)+pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))-pi*tan(c)*tan(d*x)+pi+2*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))*tan(c)*tan(d*x)-2*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))+2*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)*tan(d*x)-2*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))-4*tan(c)-4*tan(d*x))/(4*d*tan(c)*tan(d*x)-4*d)+a*x","F(-2)",0
254,1,65,0,0.818836," ","integrate(1/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{{\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}}\right)\right)} b}{\sqrt{a b} {\left(a - b\right)}} - \frac{d x + c}{a - b}}{d}"," ",0,"-((pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*b/(sqrt(a*b)*(a - b)) - (d*x + c)/(a - b))/d","A",0
255,1,122,0,0.885437," ","integrate(1/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\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}}\right)\right)} {\left(3 \, a b - b^{2}\right)}}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{a b}} - \frac{2 \, {\left(d x + c\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{b \tan\left(d x + c\right)}{{\left(b \tan\left(d x + c\right)^{2} + a\right)} {\left(a^{2} - a b\right)}}}{2 \, d}"," ",0,"-1/2*((pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*(3*a*b - b^2)/((a^3 - 2*a^2*b + a*b^2)*sqrt(a*b)) - 2*(d*x + c)/(a^2 - 2*a*b + b^2) + b*tan(d*x + c)/((b*tan(d*x + c)^2 + a)*(a^2 - a*b)))/d","A",0
256,1,205,0,1.158769," ","integrate(1/(a+b*tan(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b - 10 \, a b^{2} + 3 \, b^{3}\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}}\right)\right)}}{{\left(a^{5} - 3 \, a^{4} b + 3 \, a^{3} b^{2} - a^{2} b^{3}\right)} \sqrt{a b}} - \frac{8 \, {\left(d x + c\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{7 \, a b^{2} \tan\left(d x + c\right)^{3} - 3 \, b^{3} \tan\left(d x + c\right)^{3} + 9 \, a^{2} b \tan\left(d x + c\right) - 5 \, a b^{2} \tan\left(d x + c\right)}{{\left(a^{4} - 2 \, a^{3} b + a^{2} b^{2}\right)} {\left(b \tan\left(d x + c\right)^{2} + a\right)}^{2}}}{8 \, d}"," ",0,"-1/8*((15*a^2*b - 10*a*b^2 + 3*b^3)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/((a^5 - 3*a^4*b + 3*a^3*b^2 - a^2*b^3)*sqrt(a*b)) - 8*(d*x + c)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (7*a*b^2*tan(d*x + c)^3 - 3*b^3*tan(d*x + c)^3 + 9*a^2*b*tan(d*x + c) - 5*a*b^2*tan(d*x + c))/((a^4 - 2*a^3*b + a^2*b^2)*(b*tan(d*x + c)^2 + a)^2))/d","A",0
257,1,48,0,0.423443," ","integrate((a+a*tan(x)^2)^(1/2)*tan(x)^4,x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{a \tan\left(x\right)^{2} + a} {\left(2 \, \tan\left(x\right)^{2} - 3\right)} \tan\left(x\right) - \frac{3}{8} \, \sqrt{a} \log\left({\left| -\sqrt{a} \tan\left(x\right) + \sqrt{a \tan\left(x\right)^{2} + a} \right|}\right)"," ",0,"1/8*sqrt(a*tan(x)^2 + a)*(2*tan(x)^2 - 3)*tan(x) - 3/8*sqrt(a)*log(abs(-sqrt(a)*tan(x) + sqrt(a*tan(x)^2 + a)))","A",0
258,1,29,0,0.299620," ","integrate((a+a*tan(x)^2)^(1/2)*tan(x)^3,x, algorithm=""giac"")","\frac{{\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{a \tan\left(x\right)^{2} + a} a}{3 \, a}"," ",0,"1/3*((a*tan(x)^2 + a)^(3/2) - 3*sqrt(a*tan(x)^2 + a)*a)/a","A",0
259,1,40,0,0.310233," ","integrate((a+a*tan(x)^2)^(1/2)*tan(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{a} \log\left({\left| -\sqrt{a} \tan\left(x\right) + \sqrt{a \tan\left(x\right)^{2} + a} \right|}\right) + \frac{1}{2} \, \sqrt{a \tan\left(x\right)^{2} + a} \tan\left(x\right)"," ",0,"1/2*sqrt(a)*log(abs(-sqrt(a)*tan(x) + sqrt(a*tan(x)^2 + a))) + 1/2*sqrt(a*tan(x)^2 + a)*tan(x)","A",0
260,1,10,0,0.299536," ","integrate((a+a*tan(x)^2)^(1/2)*tan(x),x, algorithm=""giac"")","\sqrt{a \tan\left(x\right)^{2} + a}"," ",0,"sqrt(a*tan(x)^2 + a)","A",0
261,1,24,0,0.264965," ","integrate(cot(x)*(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{a \arctan\left(\frac{\sqrt{a \tan\left(x\right)^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"a*arctan(sqrt(a*tan(x)^2 + a)/sqrt(-a))/sqrt(-a)","A",0
262,1,32,0,0.454700," ","integrate(cot(x)^2*(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, a^{\frac{3}{2}}}{{\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a}"," ",0,"2*a^(3/2)/((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a)","B",0
263,1,42,0,0.271867," ","integrate(cot(x)^3*(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{a \arctan\left(\frac{\sqrt{a \tan\left(x\right)^{2} + a}}{\sqrt{-a}}\right)}{2 \, \sqrt{-a}} - \frac{\sqrt{a \tan\left(x\right)^{2} + a}}{2 \, \tan\left(x\right)^{2}}"," ",0,"-1/2*a*arctan(sqrt(a*tan(x)^2 + a)/sqrt(-a))/sqrt(-a) - 1/2*sqrt(a*tan(x)^2 + a)/tan(x)^2","A",0
264,1,59,0,0.270105," ","integrate(cot(x)^4*(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a\right)} a^{\frac{5}{2}}}{3 \, {\left({\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a\right)}^{3}}"," ",0,"4/3*(3*(sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a)*a^(5/2)/((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a)^3","B",0
265,1,66,0,1.333060," ","integrate((a+a*tan(d*x+c)^2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\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)^{4} - 1\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)^{4} - 1\right)\right)} \sqrt{a}}{d}"," ",0,"-(log(abs(tan(1/2*d*x + 1/2*c) + 1))*sgn(tan(1/2*d*x + 1/2*c)^4 - 1) - log(abs(tan(1/2*d*x + 1/2*c) - 1))*sgn(tan(1/2*d*x + 1/2*c)^4 - 1))*sqrt(a)/d","B",0
266,1,72,0,0.299464," ","integrate(tan(x)^3*(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}} - \sqrt{a \tan\left(x\right)^{2} + a} a + \frac{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{5}{2}} - 10 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{a \tan\left(x\right)^{2} + a} a^{2}}{15 \, a}"," ",0,"1/3*(a*tan(x)^2 + a)^(3/2) - sqrt(a*tan(x)^2 + a)*a + 1/15*(3*(a*tan(x)^2 + a)^(5/2) - 10*(a*tan(x)^2 + a)^(3/2)*a + 15*sqrt(a*tan(x)^2 + a)*a^2)/a","B",0
267,1,49,0,0.294822," ","integrate(tan(x)^2*(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(\sqrt{a \tan\left(x\right)^{2} + a} {\left(2 \, \tan\left(x\right)^{2} + 1\right)} \tan\left(x\right) + \sqrt{a} \log\left({\left| -\sqrt{a} \tan\left(x\right) + \sqrt{a \tan\left(x\right)^{2} + a} \right|}\right)\right)} a"," ",0,"1/8*(sqrt(a*tan(x)^2 + a)*(2*tan(x)^2 + 1)*tan(x) + sqrt(a)*log(abs(-sqrt(a)*tan(x) + sqrt(a*tan(x)^2 + a))))*a","A",0
268,1,12,0,0.340142," ","integrate(tan(x)*(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}}"," ",0,"1/3*(a*tan(x)^2 + a)^(3/2)","A",0
269,1,42,0,0.415653," ","integrate(cot(x)*(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","a^{2} {\left(\frac{\arctan\left(\frac{\sqrt{a \tan\left(x\right)^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{\sqrt{a \tan\left(x\right)^{2} + a}}{a}\right)}"," ",0,"a^2*(arctan(sqrt(a*tan(x)^2 + a)/sqrt(-a))/sqrt(-a) + sqrt(a*tan(x)^2 + a)/a)","A",0
270,1,62,0,0.749844," ","integrate(cot(x)^2*(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\sqrt{a} \log\left({\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2}\right) - \frac{4 \, a^{\frac{3}{2}}}{{\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a}\right)} a"," ",0,"-1/2*(sqrt(a)*log((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2) - 4*a^(3/2)/((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a))*a","B",0
271,-2,0,0,0.000000," ","integrate((a+a*tan(d*x+c)^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)2/d*((-sqrt(a)*a*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-sqrt(a)*a*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)+2*sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3+2*sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5-2*sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7-2*sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)+10*sqrt(a)*a*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2-10*sqrt(a)*a*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6+sqrt(a)*a*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^8-18*sqrt(a)*a*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3-18*sqrt(a)*a*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5+2*sqrt(a)*a*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7+2*sqrt(a)*a*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)-6*sqrt(a)*a*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2+6*sqrt(a)*a*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6+sqrt(a)*a*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^8)/(-tan(1/2*c)^2-4*tan(d*x/2)*tan(1/2*c)+tan(d*x/2)^2*tan(1/2*c)^2-tan(d*x/2)^2+1)^2/(-2*tan(1/2*c)^4+4*tan(1/2*c)^2-2)+(sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c))*ln(abs(-tan(d*x/2)*tan(1/2*c)+tan(1/2*c)+tan(d*x/2)+1))/(-4*tan(1/2*c)+4)+(-sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-sqrt(a)*a*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c))*ln(abs(-tan(d*x/2)*tan(1/2*c)-tan(1/2*c)-tan(d*x/2)+1))/(4*tan(1/2*c)+4))","F(-2)",0
272,-2,0,0,0.000000," ","integrate((a+a*tan(d*x+c)^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)2/d*((5*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)+3*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)+3*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)+5*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-34*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3+42*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5-18*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7-18*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^9+42*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^11-34*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^13+10*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^15+10*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)-126*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2+326*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^4-294*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6+294*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^10-326*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^12+126*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^14-5*sqrt(a)*a^2*tan(d*x/2)*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^16+742*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3-1182*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5+486*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7+486*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^9-1182*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^11+742*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^13-46*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^15-46*sqrt(a)*a^2*tan(d*x/2)^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)+318*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2-2198*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^4+1382*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6-1382*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^10+2198*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^12-318*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^14-3*sqrt(a)*a^2*tan(d*x/2)^3*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^16-1062*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3+2750*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5+330*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7+330*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^9+2750*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^11-1062*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^13+30*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^15+30*sqrt(a)*a^2*tan(d*x/2)^4*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)-162*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2+1514*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^4-506*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6+506*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^10-1514*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^12+162*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^14-3*sqrt(a)*a^2*tan(d*x/2)^5*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^16+354*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^3-330*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^5-30*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^7-30*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^9-330*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^11+354*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^13+6*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^15+6*sqrt(a)*a^2*tan(d*x/2)^6*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)+34*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^2-58*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^4-6*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^6+6*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^10+58*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^12-34*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^14-5*sqrt(a)*a^2*tan(d*x/2)^7*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c)^16)/(-tan(1/2*c)^2-4*tan(d*x/2)*tan(1/2*c)+tan(d*x/2)^2*tan(1/2*c)^2-tan(d*x/2)^2+1)^4/(8*tan(1/2*c)^8-32*tan(1/2*c)^6+48*tan(1/2*c)^4-32*tan(1/2*c)^2+8)+(3*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-3*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c))*ln(abs(-tan(d*x/2)*tan(1/2*c)+tan(1/2*c)+tan(d*x/2)+1))/(-16*tan(1/2*c)+16)+(-3*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)-3*sqrt(a)*a^2*sign(-4*tan(d*x/2)^3*tan(1/2*c)+tan(d*x/2)^4*tan(1/2*c)^4-tan(1/2*c)^4-4*tan(d*x/2)*tan(1/2*c)-4*tan(d*x/2)^3*tan(1/2*c)^3-tan(d*x/2)^4-4*tan(d*x/2)*tan(1/2*c)^3+1)*tan(1/2*c))*ln(abs(-tan(d*x/2)*tan(1/2*c)-tan(1/2*c)-tan(d*x/2)+1))/(16*tan(1/2*c)+16))","F(-2)",0
273,1,27,0,0.386427," ","integrate(tan(x)^3/(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{a \tan\left(x\right)^{2} + a} + \frac{a}{\sqrt{a \tan\left(x\right)^{2} + a}}}{a}"," ",0,"(sqrt(a*tan(x)^2 + a) + a/sqrt(a*tan(x)^2 + a))/a","A",0
274,1,40,0,0.394125," ","integrate(tan(x)^2/(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{a} \tan\left(x\right) + \sqrt{a \tan\left(x\right)^{2} + a} \right|}\right)}{\sqrt{a}} - \frac{\tan\left(x\right)}{\sqrt{a \tan\left(x\right)^{2} + a}}"," ",0,"-log(abs(-sqrt(a)*tan(x) + sqrt(a*tan(x)^2 + a)))/sqrt(a) - tan(x)/sqrt(a*tan(x)^2 + a)","A",0
275,1,12,0,0.292370," ","integrate(tan(x)/(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{\sqrt{a \tan\left(x\right)^{2} + a}}"," ",0,"-1/sqrt(a*tan(x)^2 + a)","A",0
276,1,34,0,0.352604," ","integrate(cot(x)/(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{a \tan\left(x\right)^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{1}{\sqrt{a \tan\left(x\right)^{2} + a}}"," ",0,"arctan(sqrt(a*tan(x)^2 + a)/sqrt(-a))/sqrt(-a) + 1/sqrt(a*tan(x)^2 + a)","A",0
277,1,47,0,0.316283," ","integrate(cot(x)^2/(a+a*tan(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\tan\left(x\right)}{\sqrt{a \tan\left(x\right)^{2} + a}} + \frac{2 \, \sqrt{a}}{{\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a}"," ",0,"-tan(x)/sqrt(a*tan(x)^2 + a) + 2*sqrt(a)/((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a)","A",0
278,1,26,0,0.331302," ","integrate(tan(x)^3/(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{3 \, a \tan\left(x\right)^{2} + 2 \, a}{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"-1/3*(3*a*tan(x)^2 + 2*a)/((a*tan(x)^2 + a)^(3/2)*a)","A",0
279,1,16,0,0.598261," ","integrate(tan(x)^2/(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{\tan\left(x\right)^{3}}{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"1/3*tan(x)^3/(a*tan(x)^2 + a)^(3/2)","A",0
280,1,12,0,0.260139," ","integrate(tan(x)/(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"-1/3/(a*tan(x)^2 + a)^(3/2)","A",0
281,1,53,0,0.543043," ","integrate(cot(x)/(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{a \tan\left(x\right)^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{3 \, a \tan\left(x\right)^{2} + 4 \, a}{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"arctan(sqrt(a*tan(x)^2 + a)/sqrt(-a))/(sqrt(-a)*a) + 1/3*(3*a*tan(x)^2 + 4*a)/((a*tan(x)^2 + a)^(3/2)*a)","A",0
282,1,55,0,0.516252," ","integrate(cot(x)^2/(a+a*tan(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(5 \, \tan\left(x\right)^{2} + 6\right)} \tan\left(x\right)}{3 \, {\left(a \tan\left(x\right)^{2} + a\right)}^{\frac{3}{2}}} + \frac{2}{{\left({\left(\sqrt{a} \tan\left(x\right) - \sqrt{a \tan\left(x\right)^{2} + a}\right)}^{2} - a\right)} \sqrt{a}}"," ",0,"-1/3*(5*tan(x)^2 + 6)*tan(x)/(a*tan(x)^2 + a)^(3/2) + 2/(((sqrt(a)*tan(x) - sqrt(a*tan(x)^2 + a))^2 - a)*sqrt(a))","A",0
283,0,0,0,0.000000," ","integrate(1/(a+a*tan(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \tan\left(d x + c\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(a*tan(d*x + c)^2 + a), x)","F",0
284,1,81,0,4.021408," ","integrate(1/(a+a*tan(d*x+c)^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{2} - 4 \, \sqrt{a}\right)}}{3 \, a^{2} d {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{3} \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1\right)}"," ",0,"-2/3*(3*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^2 - 4*sqrt(a))/(a^2*d*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^3*sgn(tan(1/2*d*x + 1/2*c)^4 - 1))","A",0
285,1,109,0,6.245598," ","integrate(1/(a+a*tan(d*x+c)^2)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{4} - 40 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{2} + 48 \, \sqrt{a}\right)}}{15 \, a^{3} d {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{5} \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1\right)}"," ",0,"-2/15*(15*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^4 - 40*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^2 + 48*sqrt(a))/(a^3*d*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^5*sgn(tan(1/2*d*x + 1/2*c)^4 - 1))","A",0
286,1,137,0,8.880616," ","integrate(1/(a+a*tan(d*x+c)^2)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{6} - 140 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{4} + 336 \, \sqrt{a} {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{2} - 320 \, \sqrt{a}\right)}}{35 \, a^{4} d {\left(\frac{1}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}^{7} \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1\right)}"," ",0,"-2/35*(35*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^6 - 140*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^4 + 336*sqrt(a)*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^2 - 320*sqrt(a))/(a^4*d*(1/tan(1/2*d*x + 1/2*c) + tan(1/2*d*x + 1/2*c))^7*sgn(tan(1/2*d*x + 1/2*c)^4 - 1))","A",0
287,1,29,0,0.309974," ","integrate((1+tan(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{\tan\left(x\right)^{2} + 1} \tan\left(x\right) - \frac{1}{2} \, \log\left(\sqrt{\tan\left(x\right)^{2} + 1} - \tan\left(x\right)\right)"," ",0,"1/2*sqrt(tan(x)^2 + 1)*tan(x) - 1/2*log(sqrt(tan(x)^2 + 1) - tan(x))","A",0
288,1,16,0,0.394256," ","integrate((1+tan(x)^2)^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{\tan\left(x\right)^{2} + 1} - \tan\left(x\right)\right)"," ",0,"-log(sqrt(tan(x)^2 + 1) - tan(x))","B",0
289,1,11,0,0.443803," ","integrate(1/(1+tan(x)^2)^(1/2),x, algorithm=""giac"")","\frac{\tan\left(x\right)}{\sqrt{\tan\left(x\right)^{2} + 1}}"," ",0,"tan(x)/sqrt(tan(x)^2 + 1)","A",0
290,1,29,0,0.300343," ","integrate((-1-tan(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{2} i \, \sqrt{\tan\left(x\right)^{2} + 1} \tan\left(x\right) + \frac{1}{2} i \, \log\left(\sqrt{\tan\left(x\right)^{2} + 1} - \tan\left(x\right)\right)"," ",0,"-1/2*I*sqrt(tan(x)^2 + 1)*tan(x) + 1/2*I*log(sqrt(tan(x)^2 + 1) - tan(x))","C",0
291,1,16,0,0.509789," ","integrate((-1-tan(x)^2)^(1/2),x, algorithm=""giac"")","-i \, \log\left(\sqrt{\tan\left(x\right)^{2} + 1} - \tan\left(x\right)\right)"," ",0,"-I*log(sqrt(tan(x)^2 + 1) - tan(x))","C",0
292,1,12,0,0.352973," ","integrate(1/(-1-tan(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{i \, \tan\left(x\right)}{\sqrt{\tan\left(x\right)^{2} + 1}}"," ",0,"-I*tan(x)/sqrt(tan(x)^2 + 1)","C",0
293,1,143,0,0.858004," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e)^5,x, algorithm=""giac"")","\frac{{\left(a - b\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{3 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}} b^{8} f^{4} - 5 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} a b^{8} f^{4} - 5 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} b^{9} f^{4} + 15 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b^{10} f^{4}}{15 \, b^{10} f^{5}}"," ",0,"(a - b)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/15*(3*(b*tan(f*x + e)^2 + a)^(5/2)*b^8*f^4 - 5*(b*tan(f*x + e)^2 + a)^(3/2)*a*b^8*f^4 - 5*(b*tan(f*x + e)^2 + a)^(3/2)*b^9*f^4 + 15*sqrt(b*tan(f*x + e)^2 + a)*b^10*f^4)/(b^10*f^5)","A",0
294,1,96,0,0.632038," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e)^3,x, algorithm=""giac"")","-\frac{{\left(a - b\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} b^{2} f^{2} - 3 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b^{3} f^{2}}{3 \, b^{3} f^{3}}"," ",0,"-(a - b)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/3*((b*tan(f*x + e)^2 + a)^(3/2)*b^2*f^2 - 3*sqrt(b*tan(f*x + e)^2 + a)*b^3*f^2)/(b^3*f^3)","A",0
295,1,60,0,0.517368," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e),x, algorithm=""giac"")","\frac{{\left(a - b\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{f}"," ",0,"(a - b)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + sqrt(b*tan(f*x + e)^2 + a)/f","A",0
296,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*tan(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)2/f*(-1/2*a*atan((-sin(f*x+exp(1))^2*sqrt(a-b)+sqrt(a*sin(f*x+exp(1))^4-b*sin(f*x+exp(1))^4-2*a*sin(f*x+exp(1))^2+b*sin(f*x+exp(1))^2+a))/sqrt(-a))/sqrt(-a)+sqrt(a-b)*(-a+b)*ln(abs((2*a-2*b)*(-sin(f*x+exp(1))^2*sqrt(a-b)+sqrt(a*sin(f*x+exp(1))^4-b*sin(f*x+exp(1))^4-2*a*sin(f*x+exp(1))^2+b*sin(f*x+exp(1))^2+a))+sqrt(a-b)*(2*a-b)))/(4*a-4*b))*sign(sin(f*x+exp(1))^2-1)","F(-2)",0
297,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 1.54Error: Bad Argument Type","F(-2)",0
298,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 2.25Error: Bad Argument Type","F(-2)",0
299,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e)^6,x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*tan(f*x + e)^6, x)","F",0
300,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e)^4,x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*tan(f*x + e)^4, x)","F",0
301,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(1/2)*tan(f*x+e)^2,x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*tan(f*x + e)^2, x)","F",0
302,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a), x)","F",0
303,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*cot(f*x + e)^2, x)","F",0
304,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*cot(f*x + e)^4, x)","F",0
305,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(f x + e\right)^{2} + a} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e)^2 + a)*cot(f*x + e)^6, x)","F",0
306,1,196,0,0.890933," ","integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{{\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{15 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{7}{2}} b^{12} f^{6} - 21 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}} a b^{12} f^{6} - 21 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}} b^{13} f^{6} + 35 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} b^{14} f^{6} + 105 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} a b^{14} f^{6} - 105 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b^{15} f^{6}}{105 \, b^{14} f^{7}}"," ",0,"(a^2 - 2*a*b + b^2)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/105*(15*(b*tan(f*x + e)^2 + a)^(7/2)*b^12*f^6 - 21*(b*tan(f*x + e)^2 + a)^(5/2)*a*b^12*f^6 - 21*(b*tan(f*x + e)^2 + a)^(5/2)*b^13*f^6 + 35*(b*tan(f*x + e)^2 + a)^(3/2)*b^14*f^6 + 105*sqrt(b*tan(f*x + e)^2 + a)*a*b^14*f^6 - 105*sqrt(b*tan(f*x + e)^2 + a)*b^15*f^6)/(b^14*f^7)","A",0
307,1,150,0,0.863466," ","integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{3 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}} b^{4} f^{4} - 5 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} b^{5} f^{4} - 15 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} a b^{5} f^{4} + 15 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b^{6} f^{4}}{15 \, b^{5} f^{5}}"," ",0,"-(a^2 - 2*a*b + b^2)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/15*(3*(b*tan(f*x + e)^2 + a)^(5/2)*b^4*f^4 - 5*(b*tan(f*x + e)^2 + a)^(3/2)*b^5*f^4 - 15*sqrt(b*tan(f*x + e)^2 + a)*a*b^5*f^4 + 15*sqrt(b*tan(f*x + e)^2 + a)*b^6*f^4)/(b^5*f^5)","A",0
308,1,114,0,0.997488," ","integrate(tan(f*x+e)*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{{\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} f^{2} + 3 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} a f^{2} - 3 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b f^{2}}{3 \, f^{3}}"," ",0,"(a^2 - 2*a*b + b^2)*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/3*((b*tan(f*x + e)^2 + a)^(3/2)*f^2 + 3*sqrt(b*tan(f*x + e)^2 + a)*a*f^2 - 3*sqrt(b*tan(f*x + e)^2 + a)*b*f^2)/f^3","A",0
309,-2,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*tan(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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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: 3.86Error: Bad Argument Type","F(-2)",0
310,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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: 6.44Error: Bad Argument Type","F(-2)",0
311,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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)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: 9.53Error: Bad Argument Type","F(-2)",0
312,0,0,0,0.000000," ","integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^6, x)","F",0
313,0,0,0,0.000000," ","integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^4, x)","F",0
314,0,0,0,0.000000," ","integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*tan(f*x + e)^2, x)","F",0
315,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
316,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^2, x)","F",0
317,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^4, x)","F",0
318,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(3/2)*cot(f*x + e)^6, x)","F",0
319,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,1,114,0,1.995895," ","integrate(tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} + \frac{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}} b^{4} f^{2} - 3 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} a b^{4} f^{2} - 3 \, \sqrt{b \tan\left(f x + e\right)^{2} + a} b^{5} f^{2}}{3 \, b^{6} f^{3}}"," ",0,"arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) + 1/3*((b*tan(f*x + e)^2 + a)^(3/2)*b^4*f^2 - 3*sqrt(b*tan(f*x + e)^2 + a)*a*b^4*f^2 - 3*sqrt(b*tan(f*x + e)^2 + a)*b^5*f^2)/(b^6*f^3)","A",0
321,1,62,0,1.911148," ","integrate(tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f} - \frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{f}}{b}"," ",0,"-(b*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f) - sqrt(b*tan(f*x + e)^2 + a)/f)/b","A",0
322,1,35,0,1.974672," ","integrate(tan(f*x+e)/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{\sqrt{-a + b} f}"," ",0,"arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/(sqrt(-a + b)*f)","A",0
323,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[64,89]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-82,44]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]Evaluation time: 3.3Error: Bad Argument Type","F(-2)",0
324,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[41,20]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[80,-3]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 5.25Error: Bad Argument Type","F(-2)",0
325,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[18,-19]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[60,-6]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 7.71Error: Bad Argument Type","F(-2)",0
326,0,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{6}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^6/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
327,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
328,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
329,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
330,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
331,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
332,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{\sqrt{b \tan\left(f x + e\right)^{2} + a}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/sqrt(b*tan(f*x + e)^2 + a), x)","F",0
333,1,99,0,3.145953," ","integrate(tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{a^{2}}{{\left(a b^{2} f - b^{3} f\right)} \sqrt{b \tan\left(f x + e\right)^{2} + a}} + \frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a f - b f\right)} \sqrt{-a + b}} + \frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{b^{2} f}"," ",0,"a^2/((a*b^2*f - b^3*f)*sqrt(b*tan(f*x + e)^2 + a)) + arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a*f - b*f)*sqrt(-a + b)) + sqrt(b*tan(f*x + e)^2 + a)/(b^2*f)","A",0
334,1,76,0,2.124374," ","integrate(tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a f - b f\right)} \sqrt{-a + b}} + \frac{a}{\sqrt{b \tan\left(f x + e\right)^{2} + a} {\left(a f - b f\right)}}}{b}"," ",0,"-(b*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a*f - b*f)*sqrt(-a + b)) + a/(sqrt(b*tan(f*x + e)^2 + a)*(a*f - b*f)))/b","A",0
335,1,69,0,2.542594," ","integrate(tan(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a f - b f\right)} \sqrt{-a + b}} + \frac{1}{\sqrt{b \tan\left(f x + e\right)^{2} + a} {\left(a f - b f\right)}}"," ",0,"arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a*f - b*f)*sqrt(-a + b)) + 1/(sqrt(b*tan(f*x + e)^2 + a)*(a*f - b*f))","A",0
336,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-96,-55]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-15,-4]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]Evaluation time: 7.96Error: Bad Argument Type","F(-2)",0
337,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[24,19]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-23,-97]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 13.83Error: Bad Argument Type","F(-2)",0
338,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[79,3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[30,75]Discontinuities at zeroes of t_nostep^2-1 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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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: 20.84Error: Bad Argument Type","F(-2)",0
339,0,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{6}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^6/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
340,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
341,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
342,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(-3/2), x)","F",0
343,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
344,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
345,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/(b*tan(f*x + e)^2 + a)^(3/2), x)","F",0
346,1,137,0,4.220377," ","integrate(tan(f*x+e)^5/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a^{2} f - 2 \, a b f + b^{2} f\right)} \sqrt{-a + b}} - \frac{3 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)} a^{2} - a^{3} - 6 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)} a b + a^{2} b}{3 \, {\left(a^{2} b^{2} f - 2 \, a b^{3} f + b^{4} f\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a^2*f - 2*a*b*f + b^2*f)*sqrt(-a + b)) - 1/3*(3*(b*tan(f*x + e)^2 + a)*a^2 - a^3 - 6*(b*tan(f*x + e)^2 + a)*a*b + a^2*b)/((a^2*b^2*f - 2*a*b^3*f + b^4*f)*(b*tan(f*x + e)^2 + a)^(3/2))","A",0
347,1,116,0,4.352793," ","integrate(tan(f*x+e)^3/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","-\frac{\frac{3 \, b \arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a^{2} f - 2 \, a b f + b^{2} f\right)} \sqrt{-a + b}} + \frac{a^{2} + 3 \, {\left(b \tan\left(f x + e\right)^{2} + a\right)} b - a b}{{\left(a^{2} f - 2 \, a b f + b^{2} f\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}}{3 \, b}"," ",0,"-1/3*(3*b*arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a^2*f - 2*a*b*f + b^2*f)*sqrt(-a + b)) + (a^2 + 3*(b*tan(f*x + e)^2 + a)*b - a*b)/((a^2*f - 2*a*b*f + b^2*f)*(b*tan(f*x + e)^2 + a)^(3/2)))/b","A",0
348,1,105,0,4.162022," ","integrate(tan(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{\sqrt{b \tan\left(f x + e\right)^{2} + a}}{\sqrt{-a + b}}\right)}{{\left(a^{2} f - 2 \, a b f + b^{2} f\right)} \sqrt{-a + b}} + \frac{3 \, b \tan\left(f x + e\right)^{2} + 4 \, a - b}{3 \, {\left(a^{2} f - 2 \, a b f + b^{2} f\right)} {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{3}{2}}}"," ",0,"arctan(sqrt(b*tan(f*x + e)^2 + a)/sqrt(-a + b))/((a^2*f - 2*a*b*f + b^2*f)*sqrt(-a + b)) + 1/3*(3*b*tan(f*x + e)^2 + 4*a - b)/((a^2*f - 2*a*b*f + b^2*f)*(b*tan(f*x + e)^2 + a)^(3/2))","A",0
349,-2,0,0,0.000000," ","integrate(cot(f*x+e)/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-29,-86]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[79,3]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep-1)]Evaluation time: 14.76Unable to divide, perhaps due to rounding error%%%{%%%{2,[4,4]%%%}+%%%{-4,[3,5]%%%}+%%%{2,[2,6]%%%},[4,1]%%%}+%%%{%%{[%%%{8,[4,4]%%%}+%%%{-8,[3,5]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{1,[0,1]%%%}]%%},[3,1]%%%}+%%%{%%%{12,[5,4]%%%}+%%%{-12,[4,5]%%%},[2,1]%%%}+%%%{%%{[%%%{8,[5,4]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{1,[0,1]%%%}]%%},[1,1]%%%}+%%%{%%%{2,[6,4]%%%},[0,1]%%%} / %%%{%%%{1,[4,0]%%%}+%%%{-4,[3,1]%%%}+%%%{6,[2,2]%%%}+%%%{-4,[1,3]%%%}+%%%{1,[0,4]%%%},[4,0]%%%}+%%%{%%{[%%%{4,[4,0]%%%}+%%%{-12,[3,1]%%%}+%%%{12,[2,2]%%%}+%%%{-4,[1,3]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{1,[0,1]%%%}]%%},[3,0]%%%}+%%%{%%%{6,[5,0]%%%}+%%%{-18,[4,1]%%%}+%%%{18,[3,2]%%%}+%%%{-6,[2,3]%%%},[2,0]%%%}+%%%{%%{[%%%{4,[5,0]%%%}+%%%{-8,[4,1]%%%}+%%%{4,[3,2]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{1,[0,1]%%%}]%%},[1,0]%%%}+%%%{%%%{1,[6,0]%%%}+%%%{-2,[5,1]%%%}+%%%{1,[4,2]%%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
350,-2,0,0,0.000000," ","integrate(cot(f*x+e)^3/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[2,-43]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-37,-94]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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: 27.95Error: Bad Argument Type","F(-2)",0
351,-2,0,0,0.000000," ","integrate(cot(f*x+e)^5/(a+b*tan(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/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (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(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[-72,77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [a,b]=[15,2]Discontinuities at zeroes of t_nostep^2-1 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/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*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: 42.66Error: Bad Argument Type","F(-2)",0
352,-1,0,0,0.000000," ","integrate(tan(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
353,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
354,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\tan\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
355,0,0,0,0.000000," ","integrate(1/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^(-5/2), x)","F",0
356,0,0,0,0.000000," ","integrate(cot(f*x+e)^2/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{2}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^2/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
357,0,0,0,0.000000," ","integrate(cot(f*x+e)^4/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{4}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^4/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
358,0,0,0,0.000000," ","integrate(cot(f*x+e)^6/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(f x + e\right)^{6}}{{\left(b \tan\left(f x + e\right)^{2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(f*x + e)^6/(b*tan(f*x + e)^2 + a)^(5/2), x)","F",0
359,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*tan(f*x + e))^m, x)","F",0
360,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*tan(f*x + e))^m, x)","F",0
361,0,0,0,0.000000," ","integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e)^5, x)","F",0
362,0,0,0,0.000000," ","integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e)^3, x)","F",0
363,0,0,0,0.000000," ","integrate(tan(f*x+e)*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e), x)","F",0
364,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e), x)","F",0
365,0,0,0,0.000000," ","integrate(cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e)^3, x)","F",0
366,0,0,0,0.000000," ","integrate(cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e)^5, x)","F",0
367,0,0,0,0.000000," ","integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e)^6, x)","F",0
368,0,0,0,0.000000," ","integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e)^4, x)","F",0
369,0,0,0,0.000000," ","integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*tan(f*x + e)^2, x)","F",0
370,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p, x)","F",0
371,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e)^2, x)","F",0
372,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e)^4, x)","F",0
373,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*cot(f*x + e)^6, x)","F",0
374,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c)^3)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
375,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c)^3)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
376,1,1065,0,14.424892," ","integrate((a+b*tan(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{15 \, a^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 15 \, b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 15 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 75 \, a^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 75 \, b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 15 \, a b \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 75 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 15 \, b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 15 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 150 \, a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 150 \, b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 15 \, a b \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 45 \, a b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 15 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 5 \, b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 150 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 75 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 75 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 5 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 150 \, a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 150 \, b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 45 \, a b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 60 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 45 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 3 \, b^{2} \tan\left(d x\right)^{5} - 25 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 150 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 150 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 150 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 25 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 3 \, b^{2} \tan\left(c\right)^{5} + 75 \, a^{2} d x \tan\left(d x\right) \tan\left(c\right) - 75 \, b^{2} d x \tan\left(d x\right) \tan\left(c\right) + 45 \, a b \tan\left(d x\right)^{3} \tan\left(c\right) - 60 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 45 \, a b \tan\left(d x\right) \tan\left(c\right)^{3} + 5 \, b^{2} \tan\left(d x\right)^{3} + 75 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 75 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 75 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 5 \, b^{2} \tan\left(c\right)^{3} - 15 \, a^{2} d x + 15 \, b^{2} d x - 15 \, a b \tan\left(d x\right)^{2} + 45 \, a b \tan\left(d x\right) \tan\left(c\right) - 15 \, a b \tan\left(c\right)^{2} - 15 \, a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 15 \, b^{2} \tan\left(d x\right) - 15 \, b^{2} \tan\left(c\right) - 15 \, a b}{15 \, {\left(d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 5 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 10 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 10 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 5 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/15*(15*a^2*d*x*tan(d*x)^5*tan(c)^5 - 15*b^2*d*x*tan(d*x)^5*tan(c)^5 + 15*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 75*a^2*d*x*tan(d*x)^4*tan(c)^4 + 75*b^2*d*x*tan(d*x)^4*tan(c)^4 + 15*a*b*tan(d*x)^5*tan(c)^5 - 75*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 15*b^2*tan(d*x)^5*tan(c)^4 - 15*b^2*tan(d*x)^4*tan(c)^5 + 150*a^2*d*x*tan(d*x)^3*tan(c)^3 - 150*b^2*d*x*tan(d*x)^3*tan(c)^3 + 15*a*b*tan(d*x)^5*tan(c)^3 - 45*a*b*tan(d*x)^4*tan(c)^4 + 15*a*b*tan(d*x)^3*tan(c)^5 + 5*b^2*tan(d*x)^5*tan(c)^2 + 150*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 75*b^2*tan(d*x)^4*tan(c)^3 + 75*b^2*tan(d*x)^3*tan(c)^4 + 5*b^2*tan(d*x)^2*tan(c)^5 - 150*a^2*d*x*tan(d*x)^2*tan(c)^2 + 150*b^2*d*x*tan(d*x)^2*tan(c)^2 - 45*a*b*tan(d*x)^4*tan(c)^2 + 60*a*b*tan(d*x)^3*tan(c)^3 - 45*a*b*tan(d*x)^2*tan(c)^4 - 3*b^2*tan(d*x)^5 - 25*b^2*tan(d*x)^4*tan(c) - 150*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 150*b^2*tan(d*x)^3*tan(c)^2 - 150*b^2*tan(d*x)^2*tan(c)^3 - 25*b^2*tan(d*x)*tan(c)^4 - 3*b^2*tan(c)^5 + 75*a^2*d*x*tan(d*x)*tan(c) - 75*b^2*d*x*tan(d*x)*tan(c) + 45*a*b*tan(d*x)^3*tan(c) - 60*a*b*tan(d*x)^2*tan(c)^2 + 45*a*b*tan(d*x)*tan(c)^3 + 5*b^2*tan(d*x)^3 + 75*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 75*b^2*tan(d*x)^2*tan(c) + 75*b^2*tan(d*x)*tan(c)^2 + 5*b^2*tan(c)^3 - 15*a^2*d*x + 15*b^2*d*x - 15*a*b*tan(d*x)^2 + 45*a*b*tan(d*x)*tan(c) - 15*a*b*tan(c)^2 - 15*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 15*b^2*tan(d*x) - 15*b^2*tan(c) - 15*a*b)/(d*tan(d*x)^5*tan(c)^5 - 5*d*tan(d*x)^4*tan(c)^4 + 10*d*tan(d*x)^3*tan(c)^3 - 10*d*tan(d*x)^2*tan(c)^2 + 5*d*tan(d*x)*tan(c) - d)","B",0
377,1,251,0,1.617105," ","integrate(a+b*tan(d*x+c)^3,x, algorithm=""giac"")","a x + \frac{{\left(\log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + \tan\left(d x\right)^{2} + \tan\left(c\right)^{2} + \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 1\right)} b}{2 \, {\left(d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"a*x + 1/2*(log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + tan(d*x)^2*tan(c)^2 - 2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + tan(d*x)^2 + tan(c)^2 + log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 1)*b/(d*tan(d*x)^2*tan(c)^2 - 2*d*tan(d*x)*tan(c) + d)","B",0
378,1,334,0,1.792377," ","integrate(1/(a+b*tan(d*x+c)^3),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(a^{3} b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} + a b^{4} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - a^{2} b^{3} - b^{5}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| -\left(-\frac{a}{b}\right)^{\frac{1}{3}} + \tan\left(d x + c\right) \right|}\right)}{a^{5} b + 2 \, a^{3} b^{3} + a b^{5}} + \frac{6 \, {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) + \arctan\left(\frac{\sqrt{3} {\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}} + 2 \, \tan\left(d x + c\right)\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)\right)} {\left(\left(-a b^{2}\right)^{\frac{1}{3}} b^{2} + \left(-a b^{2}\right)^{\frac{2}{3}} a\right)}}{\sqrt{3} a^{3} b + \sqrt{3} a b^{3}} + \frac{6 \, {\left(d x + c\right)} a}{a^{2} + b^{2}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} b^{2} - \left(-a b^{2}\right)^{\frac{2}{3}} a\right)} \log\left(\tan\left(d x + c\right)^{2} + \left(-\frac{a}{b}\right)^{\frac{1}{3}} \tan\left(d x + c\right) + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a^{3} b + a b^{3}} + \frac{3 \, b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, b \log\left({\left| b \tan\left(d x + c\right)^{3} + a \right|}\right)}{a^{2} + b^{2}}}{6 \, d}"," ",0,"1/6*(2*(a^3*b^2*(-a/b)^(1/3) + a*b^4*(-a/b)^(1/3) - a^2*b^3 - b^5)*(-a/b)^(1/3)*log(abs(-(-a/b)^(1/3) + tan(d*x + c)))/(a^5*b + 2*a^3*b^3 + a*b^5) + 6*(pi*floor((d*x + c)/pi + 1/2)*sgn((-a/b)^(1/3)) + arctan(1/3*sqrt(3)*((-a/b)^(1/3) + 2*tan(d*x + c))/(-a/b)^(1/3)))*((-a*b^2)^(1/3)*b^2 + (-a*b^2)^(2/3)*a)/(sqrt(3)*a^3*b + sqrt(3)*a*b^3) + 6*(d*x + c)*a/(a^2 + b^2) + ((-a*b^2)^(1/3)*b^2 - (-a*b^2)^(2/3)*a)*log(tan(d*x + c)^2 + (-a/b)^(1/3)*tan(d*x + c) + (-a/b)^(2/3))/(a^3*b + a*b^3) + 3*b*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*b*log(abs(b*tan(d*x + c)^3 + a))/(a^2 + b^2))/d","A",0
379,1,605,0,2.753647," ","integrate(1/(a+b*tan(d*x+c)^3)^2,x, algorithm=""giac"")","\frac{\frac{9 \, a b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{6 \, a b \log\left({\left| b \tan\left(d x + c\right)^{3} + a \right|}\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(2 \, a^{8} b^{2} \left(-\frac{a}{b}\right)^{\frac{1}{3}} + 3 \, a^{6} b^{4} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - a^{2} b^{8} \left(-\frac{a}{b}\right)^{\frac{1}{3}} - 4 \, a^{7} b^{3} - 9 \, a^{5} b^{5} - 6 \, a^{3} b^{7} - a b^{9}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| -\left(-\frac{a}{b}\right)^{\frac{1}{3}} + \tan\left(d x + c\right) \right|}\right)}{a^{11} b + 4 \, a^{9} b^{3} + 6 \, a^{7} b^{5} + 4 \, a^{5} b^{7} + a^{3} b^{9}} + \frac{9 \, {\left(a^{2} - b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}}\right) + \arctan\left(\frac{\sqrt{3} {\left(\left(-\frac{a}{b}\right)^{\frac{1}{3}} + 2 \, \tan\left(d x + c\right)\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)\right)} {\left({\left(2 \, \sqrt{3} a^{3} - \sqrt{3} a b^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} + {\left(4 \, \sqrt{3} a^{2} b^{2} + \sqrt{3} b^{4}\right)} \left(-a b^{2}\right)^{\frac{1}{3}}\right)}}{a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}} - \frac{{\left({\left(2 \, a^{3} - a b^{2}\right)} \left(-a b^{2}\right)^{\frac{2}{3}} - {\left(4 \, a^{2} b^{2} + b^{4}\right)} \left(-a b^{2}\right)^{\frac{1}{3}}\right)} \log\left(\tan\left(d x + c\right)^{2} + \left(-\frac{a}{b}\right)^{\frac{1}{3}} \tan\left(d x + c\right) + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}} + \frac{3 \, {\left(2 \, a^{2} b^{2} \tan\left(d x + c\right)^{3} - a^{3} b \tan\left(d x + c\right)^{2} - a b^{3} \tan\left(d x + c\right)^{2} + a^{2} b^{2} \tan\left(d x + c\right) + b^{4} \tan\left(d x + c\right) + 3 \, a^{3} b + a b^{3}\right)}}{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} {\left(b \tan\left(d x + c\right)^{3} + a\right)}}}{9 \, d}"," ",0,"1/9*(9*a*b*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 6*a*b*log(abs(b*tan(d*x + c)^3 + a))/(a^4 + 2*a^2*b^2 + b^4) + 2*(2*a^8*b^2*(-a/b)^(1/3) + 3*a^6*b^4*(-a/b)^(1/3) - a^2*b^8*(-a/b)^(1/3) - 4*a^7*b^3 - 9*a^5*b^5 - 6*a^3*b^7 - a*b^9)*(-a/b)^(1/3)*log(abs(-(-a/b)^(1/3) + tan(d*x + c)))/(a^11*b + 4*a^9*b^3 + 6*a^7*b^5 + 4*a^5*b^7 + a^3*b^9) + 9*(a^2 - b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) + 2*(pi*floor((d*x + c)/pi + 1/2)*sgn((-a/b)^(1/3)) + arctan(1/3*sqrt(3)*((-a/b)^(1/3) + 2*tan(d*x + c))/(-a/b)^(1/3)))*((2*sqrt(3)*a^3 - sqrt(3)*a*b^2)*(-a*b^2)^(2/3) + (4*sqrt(3)*a^2*b^2 + sqrt(3)*b^4)*(-a*b^2)^(1/3))/(a^6*b + 2*a^4*b^3 + a^2*b^5) - ((2*a^3 - a*b^2)*(-a*b^2)^(2/3) - (4*a^2*b^2 + b^4)*(-a*b^2)^(1/3))*log(tan(d*x + c)^2 + (-a/b)^(1/3)*tan(d*x + c) + (-a/b)^(2/3))/(a^6*b + 2*a^4*b^3 + a^2*b^5) + 3*(2*a^2*b^2*tan(d*x + c)^3 - a^3*b*tan(d*x + c)^2 - a*b^3*tan(d*x + c)^2 + a^2*b^2*tan(d*x + c) + b^4*tan(d*x + c) + 3*a^3*b + a*b^3)/((a^5 + 2*a^3*b^2 + a*b^4)*(b*tan(d*x + c)^3 + a)))/d","A",0
380,1,34,0,0.591733," ","integrate(1/(1+tan(x)^3),x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{3} \, \log\left(\tan\left(x\right)^{2} - \tan\left(x\right) + 1\right) + \frac{1}{4} \, \log\left(\tan\left(x\right)^{2} + 1\right) + \frac{1}{6} \, \log\left({\left| \tan\left(x\right) + 1 \right|}\right)"," ",0,"1/2*x - 1/3*log(tan(x)^2 - tan(x) + 1) + 1/4*log(tan(x)^2 + 1) + 1/6*log(abs(tan(x) + 1))","A",0
381,-1,0,0,0.000000," ","integrate((a+tan(d*x+c)^4*b)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
382,-1,0,0,0.000000," ","integrate((a+tan(d*x+c)^4*b)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
383,1,1181,0,31.858311," ","integrate((a+tan(d*x+c)^4*b)^2,x, algorithm=""giac"")","\frac{105 \, a^{2} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} + 210 \, a b d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} + 105 \, b^{2} d x \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 735 \, a^{2} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 1470 \, a b d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 735 \, b^{2} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 210 \, a b \tan\left(d x\right)^{7} \tan\left(c\right)^{6} + 105 \, b^{2} \tan\left(d x\right)^{7} \tan\left(c\right)^{6} + 210 \, a b \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 105 \, b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{7} + 2205 \, a^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 4410 \, a b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 2205 \, b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 70 \, a b \tan\left(d x\right)^{7} \tan\left(c\right)^{4} - 35 \, b^{2} \tan\left(d x\right)^{7} \tan\left(c\right)^{4} - 1470 \, a b \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 735 \, b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 1470 \, a b \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 735 \, b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 70 \, a b \tan\left(d x\right)^{4} \tan\left(c\right)^{7} - 35 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{7} - 3675 \, a^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 7350 \, a b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 3675 \, b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 21 \, b^{2} \tan\left(d x\right)^{7} \tan\left(c\right)^{2} + 280 \, a b \tan\left(d x\right)^{6} \tan\left(c\right)^{3} + 245 \, b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} + 3990 \, a b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 2205 \, b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 3990 \, a b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 2205 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 280 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{6} + 245 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} + 21 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{7} + 3675 \, a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 7350 \, a b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3675 \, b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 15 \, b^{2} \tan\left(d x\right)^{7} - 147 \, b^{2} \tan\left(d x\right)^{6} \tan\left(c\right) - 420 \, a b \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 735 \, b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 5460 \, a b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 3675 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 5460 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 3675 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 420 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 735 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 147 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{6} - 15 \, b^{2} \tan\left(c\right)^{7} - 2205 \, a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4410 \, a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2205 \, b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 21 \, b^{2} \tan\left(d x\right)^{5} + 280 \, a b \tan\left(d x\right)^{4} \tan\left(c\right) + 245 \, b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) + 3990 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 2205 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 3990 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 2205 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 280 \, a b \tan\left(d x\right) \tan\left(c\right)^{4} + 245 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} + 21 \, b^{2} \tan\left(c\right)^{5} + 735 \, a^{2} d x \tan\left(d x\right) \tan\left(c\right) + 1470 \, a b d x \tan\left(d x\right) \tan\left(c\right) + 735 \, b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 70 \, a b \tan\left(d x\right)^{3} - 35 \, b^{2} \tan\left(d x\right)^{3} - 1470 \, a b \tan\left(d x\right)^{2} \tan\left(c\right) - 735 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 1470 \, a b \tan\left(d x\right) \tan\left(c\right)^{2} - 735 \, b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 70 \, a b \tan\left(c\right)^{3} - 35 \, b^{2} \tan\left(c\right)^{3} - 105 \, a^{2} d x - 210 \, a b d x - 105 \, b^{2} d x + 210 \, a b \tan\left(d x\right) + 105 \, b^{2} \tan\left(d x\right) + 210 \, a b \tan\left(c\right) + 105 \, b^{2} \tan\left(c\right)}{105 \, {\left(d \tan\left(d x\right)^{7} \tan\left(c\right)^{7} - 7 \, d \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 21 \, d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 35 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 35 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 21 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 7 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/105*(105*a^2*d*x*tan(d*x)^7*tan(c)^7 + 210*a*b*d*x*tan(d*x)^7*tan(c)^7 + 105*b^2*d*x*tan(d*x)^7*tan(c)^7 - 735*a^2*d*x*tan(d*x)^6*tan(c)^6 - 1470*a*b*d*x*tan(d*x)^6*tan(c)^6 - 735*b^2*d*x*tan(d*x)^6*tan(c)^6 + 210*a*b*tan(d*x)^7*tan(c)^6 + 105*b^2*tan(d*x)^7*tan(c)^6 + 210*a*b*tan(d*x)^6*tan(c)^7 + 105*b^2*tan(d*x)^6*tan(c)^7 + 2205*a^2*d*x*tan(d*x)^5*tan(c)^5 + 4410*a*b*d*x*tan(d*x)^5*tan(c)^5 + 2205*b^2*d*x*tan(d*x)^5*tan(c)^5 - 70*a*b*tan(d*x)^7*tan(c)^4 - 35*b^2*tan(d*x)^7*tan(c)^4 - 1470*a*b*tan(d*x)^6*tan(c)^5 - 735*b^2*tan(d*x)^6*tan(c)^5 - 1470*a*b*tan(d*x)^5*tan(c)^6 - 735*b^2*tan(d*x)^5*tan(c)^6 - 70*a*b*tan(d*x)^4*tan(c)^7 - 35*b^2*tan(d*x)^4*tan(c)^7 - 3675*a^2*d*x*tan(d*x)^4*tan(c)^4 - 7350*a*b*d*x*tan(d*x)^4*tan(c)^4 - 3675*b^2*d*x*tan(d*x)^4*tan(c)^4 + 21*b^2*tan(d*x)^7*tan(c)^2 + 280*a*b*tan(d*x)^6*tan(c)^3 + 245*b^2*tan(d*x)^6*tan(c)^3 + 3990*a*b*tan(d*x)^5*tan(c)^4 + 2205*b^2*tan(d*x)^5*tan(c)^4 + 3990*a*b*tan(d*x)^4*tan(c)^5 + 2205*b^2*tan(d*x)^4*tan(c)^5 + 280*a*b*tan(d*x)^3*tan(c)^6 + 245*b^2*tan(d*x)^3*tan(c)^6 + 21*b^2*tan(d*x)^2*tan(c)^7 + 3675*a^2*d*x*tan(d*x)^3*tan(c)^3 + 7350*a*b*d*x*tan(d*x)^3*tan(c)^3 + 3675*b^2*d*x*tan(d*x)^3*tan(c)^3 - 15*b^2*tan(d*x)^7 - 147*b^2*tan(d*x)^6*tan(c) - 420*a*b*tan(d*x)^5*tan(c)^2 - 735*b^2*tan(d*x)^5*tan(c)^2 - 5460*a*b*tan(d*x)^4*tan(c)^3 - 3675*b^2*tan(d*x)^4*tan(c)^3 - 5460*a*b*tan(d*x)^3*tan(c)^4 - 3675*b^2*tan(d*x)^3*tan(c)^4 - 420*a*b*tan(d*x)^2*tan(c)^5 - 735*b^2*tan(d*x)^2*tan(c)^5 - 147*b^2*tan(d*x)*tan(c)^6 - 15*b^2*tan(c)^7 - 2205*a^2*d*x*tan(d*x)^2*tan(c)^2 - 4410*a*b*d*x*tan(d*x)^2*tan(c)^2 - 2205*b^2*d*x*tan(d*x)^2*tan(c)^2 + 21*b^2*tan(d*x)^5 + 280*a*b*tan(d*x)^4*tan(c) + 245*b^2*tan(d*x)^4*tan(c) + 3990*a*b*tan(d*x)^3*tan(c)^2 + 2205*b^2*tan(d*x)^3*tan(c)^2 + 3990*a*b*tan(d*x)^2*tan(c)^3 + 2205*b^2*tan(d*x)^2*tan(c)^3 + 280*a*b*tan(d*x)*tan(c)^4 + 245*b^2*tan(d*x)*tan(c)^4 + 21*b^2*tan(c)^5 + 735*a^2*d*x*tan(d*x)*tan(c) + 1470*a*b*d*x*tan(d*x)*tan(c) + 735*b^2*d*x*tan(d*x)*tan(c) - 70*a*b*tan(d*x)^3 - 35*b^2*tan(d*x)^3 - 1470*a*b*tan(d*x)^2*tan(c) - 735*b^2*tan(d*x)^2*tan(c) - 1470*a*b*tan(d*x)*tan(c)^2 - 735*b^2*tan(d*x)*tan(c)^2 - 70*a*b*tan(c)^3 - 35*b^2*tan(c)^3 - 105*a^2*d*x - 210*a*b*d*x - 105*b^2*d*x + 210*a*b*tan(d*x) + 105*b^2*tan(d*x) + 210*a*b*tan(c) + 105*b^2*tan(c))/(d*tan(d*x)^7*tan(c)^7 - 7*d*tan(d*x)^6*tan(c)^6 + 21*d*tan(d*x)^5*tan(c)^5 - 35*d*tan(d*x)^4*tan(c)^4 + 35*d*tan(d*x)^3*tan(c)^3 - 21*d*tan(d*x)^2*tan(c)^2 + 7*d*tan(d*x)*tan(c) - d)","B",0
384,-2,0,0,0.000000," ","integrate(a+tan(d*x+c)^4*b,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)b*(12*d*x*tan(c)^3*tan(d*x)^3-36*d*x*tan(c)^2*tan(d*x)^2+36*d*x*tan(c)*tan(d*x)-12*d*x-3*pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))*tan(c)^3*tan(d*x)^3+9*pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))*tan(c)^2*tan(d*x)^2-9*pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))*tan(c)*tan(d*x)+3*pi*sign(2*tan(c)^2*tan(d*x)+2*tan(c)*tan(d*x)^2-2*tan(c)-2*tan(d*x))-3*pi*tan(c)^3*tan(d*x)^3+9*pi*tan(c)^2*tan(d*x)^2-9*pi*tan(c)*tan(d*x)+3*pi+6*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))*tan(c)^3*tan(d*x)^3-18*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))*tan(c)^2*tan(d*x)^2+18*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))*tan(c)*tan(d*x)-6*atan((tan(c)*tan(d*x)-1)/(tan(c)+tan(d*x)))+6*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^3*tan(d*x)^3-18*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^2+18*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)*tan(d*x)-6*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))+12*tan(c)^3*tan(d*x)^2-4*tan(c)^3+12*tan(c)^2*tan(d*x)^3-36*tan(c)^2*tan(d*x)-36*tan(c)*tan(d*x)^2+12*tan(c)-4*tan(d*x)^3+12*tan(d*x))/(12*d*tan(c)^3*tan(d*x)^3-36*d*tan(c)^2*tan(d*x)^2+36*d*tan(c)*tan(d*x)-12*d)+a*x","F(-2)",0
385,1,354,0,3.186537," ","integrate(1/(a+tan(d*x+c)^4*b),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\left(a b^{3}\right)^{\frac{1}{4}} b^{2} - \left(a b^{3}\right)^{\frac{3}{4}}\right)} {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \tan\left(d x + c\right)\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)\right)}}{\sqrt{2} a^{2} b^{2} + \sqrt{2} a b^{3}} + \frac{2 \, {\left(\left(a b^{3}\right)^{\frac{1}{4}} b^{2} - \left(a b^{3}\right)^{\frac{3}{4}}\right)} {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor + \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \tan\left(d x + c\right)\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)\right)}}{\sqrt{2} a^{2} b^{2} + \sqrt{2} a b^{3}} + \frac{{\left(\left(a b^{3}\right)^{\frac{1}{4}} b^{2} + \left(a b^{3}\right)^{\frac{3}{4}}\right)} \log\left(\tan\left(d x + c\right)^{2} + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} \tan\left(d x + c\right) + \sqrt{\frac{a}{b}}\right)}{\sqrt{2} a^{2} b^{2} + \sqrt{2} a b^{3}} - \frac{{\left(\left(a b^{3}\right)^{\frac{1}{4}} b^{2} + \left(a b^{3}\right)^{\frac{3}{4}}\right)} \log\left(\tan\left(d x + c\right)^{2} - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} \tan\left(d x + c\right) + \sqrt{\frac{a}{b}}\right)}{\sqrt{2} a^{2} b^{2} + \sqrt{2} a b^{3}} + \frac{4 \, {\left(d x + c\right)}}{a + b}}{4 \, d}"," ",0,"1/4*(2*((a*b^3)^(1/4)*b^2 - (a*b^3)^(3/4))*(pi*floor((d*x + c)/pi + 1/2) + arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*tan(d*x + c))/(a/b)^(1/4)))/(sqrt(2)*a^2*b^2 + sqrt(2)*a*b^3) + 2*((a*b^3)^(1/4)*b^2 - (a*b^3)^(3/4))*(pi*floor((d*x + c)/pi + 1/2) + arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*tan(d*x + c))/(a/b)^(1/4)))/(sqrt(2)*a^2*b^2 + sqrt(2)*a*b^3) + ((a*b^3)^(1/4)*b^2 + (a*b^3)^(3/4))*log(tan(d*x + c)^2 + sqrt(2)*(a/b)^(1/4)*tan(d*x + c) + sqrt(a/b))/(sqrt(2)*a^2*b^2 + sqrt(2)*a*b^3) - ((a*b^3)^(1/4)*b^2 + (a*b^3)^(3/4))*log(tan(d*x + c)^2 - sqrt(2)*(a/b)^(1/4)*tan(d*x + c) + sqrt(a/b))/(sqrt(2)*a^2*b^2 + sqrt(2)*a*b^3) + 4*(d*x + c)/(a + b))/d","A",0
386,1,517,0,3.405863," ","integrate(1/(a+tan(d*x+c)^4*b)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} + 2 \, \tan\left(d x + c\right)\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)\right)} {\left(\left(a b^{3}\right)^{\frac{3}{4}} {\left(5 \, a + b\right)} - \left(a b^{3}\right)^{\frac{1}{4}} {\left(7 \, a b^{2} + 3 \, b^{3}\right)}\right)}}{\sqrt{2} a^{4} b^{2} + 2 \, \sqrt{2} a^{3} b^{3} + \sqrt{2} a^{2} b^{4}} + \frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{\pi} + \frac{1}{2} \right \rfloor + \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} - 2 \, \tan\left(d x + c\right)\right)}}{2 \, \left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)\right)} {\left(\left(a b^{3}\right)^{\frac{3}{4}} {\left(5 \, a + b\right)} - \left(a b^{3}\right)^{\frac{1}{4}} {\left(7 \, a b^{2} + 3 \, b^{3}\right)}\right)}}{\sqrt{2} a^{4} b^{2} + 2 \, \sqrt{2} a^{3} b^{3} + \sqrt{2} a^{2} b^{4}} - \frac{{\left(\left(a b^{3}\right)^{\frac{3}{4}} {\left(5 \, a + b\right)} + \left(a b^{3}\right)^{\frac{1}{4}} {\left(7 \, a b^{2} + 3 \, b^{3}\right)}\right)} \log\left(\tan\left(d x + c\right)^{2} + \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} \tan\left(d x + c\right) + \sqrt{\frac{a}{b}}\right)}{\sqrt{2} a^{4} b^{2} + 2 \, \sqrt{2} a^{3} b^{3} + \sqrt{2} a^{2} b^{4}} + \frac{{\left(\left(a b^{3}\right)^{\frac{3}{4}} {\left(5 \, a + b\right)} + \left(a b^{3}\right)^{\frac{1}{4}} {\left(7 \, a b^{2} + 3 \, b^{3}\right)}\right)} \log\left(\tan\left(d x + c\right)^{2} - \sqrt{2} \left(\frac{a}{b}\right)^{\frac{1}{4}} \tan\left(d x + c\right) + \sqrt{\frac{a}{b}}\right)}{\sqrt{2} a^{4} b^{2} + 2 \, \sqrt{2} a^{3} b^{3} + \sqrt{2} a^{2} b^{4}} - \frac{16 \, {\left(d x + c\right)}}{a^{2} + 2 \, a b + b^{2}} + \frac{4 \, {\left(b \tan\left(d x + c\right)^{3} - b \tan\left(d x + c\right)\right)}}{{\left(b \tan\left(d x + c\right)^{4} + a\right)} {\left(a^{2} + a b\right)}}}{16 \, d}"," ",0,"-1/16*(2*(pi*floor((d*x + c)/pi + 1/2) + arctan(1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) + 2*tan(d*x + c))/(a/b)^(1/4)))*((a*b^3)^(3/4)*(5*a + b) - (a*b^3)^(1/4)*(7*a*b^2 + 3*b^3))/(sqrt(2)*a^4*b^2 + 2*sqrt(2)*a^3*b^3 + sqrt(2)*a^2*b^4) + 2*(pi*floor((d*x + c)/pi + 1/2) + arctan(-1/2*sqrt(2)*(sqrt(2)*(a/b)^(1/4) - 2*tan(d*x + c))/(a/b)^(1/4)))*((a*b^3)^(3/4)*(5*a + b) - (a*b^3)^(1/4)*(7*a*b^2 + 3*b^3))/(sqrt(2)*a^4*b^2 + 2*sqrt(2)*a^3*b^3 + sqrt(2)*a^2*b^4) - ((a*b^3)^(3/4)*(5*a + b) + (a*b^3)^(1/4)*(7*a*b^2 + 3*b^3))*log(tan(d*x + c)^2 + sqrt(2)*(a/b)^(1/4)*tan(d*x + c) + sqrt(a/b))/(sqrt(2)*a^4*b^2 + 2*sqrt(2)*a^3*b^3 + sqrt(2)*a^2*b^4) + ((a*b^3)^(3/4)*(5*a + b) + (a*b^3)^(1/4)*(7*a*b^2 + 3*b^3))*log(tan(d*x + c)^2 - sqrt(2)*(a/b)^(1/4)*tan(d*x + c) + sqrt(a/b))/(sqrt(2)*a^4*b^2 + 2*sqrt(2)*a^3*b^3 + sqrt(2)*a^2*b^4) - 16*(d*x + c)/(a^2 + 2*a*b + b^2) + 4*(b*tan(d*x + c)^3 - b*tan(d*x + c))/((b*tan(d*x + c)^4 + a)*(a^2 + a*b)))/d","A",0
387,0,0,0,0.000000," ","integrate((a+tan(d*x+c)^4*b)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \tan\left(d x + c\right)^{4} + a}\,{d x}"," ",0,"integrate(sqrt(b*tan(d*x + c)^4 + a), x)","F",0
388,0,0,0,0.000000," ","integrate(1/(a+tan(d*x+c)^4*b)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \tan\left(d x + c\right)^{4} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*tan(d*x + c)^4 + a), x)","F",0
389,1,107,0,0.455502," ","integrate((a+b*tan(x)^4)^(1/2)*tan(x)^3,x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b \tan\left(x\right)^{4} + a} {\left(\tan\left(x\right)^{2} - 2\right)} - \frac{{\left(a + b\right)} \arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}} - \frac{{\left(a \sqrt{b} + 2 \, b^{\frac{3}{2}}\right)} \log\left({\left| -\sqrt{b} \tan\left(x\right)^{2} + \sqrt{b \tan\left(x\right)^{4} + a} \right|}\right)}{4 \, b}"," ",0,"1/4*sqrt(b*tan(x)^4 + a)*(tan(x)^2 - 2) - (a + b)*arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b) - 1/4*(a*sqrt(b) + 2*b^(3/2))*log(abs(-sqrt(b)*tan(x)^2 + sqrt(b*tan(x)^4 + a)))/b","A",0
390,1,89,0,0.422930," ","integrate((a+b*tan(x)^4)^(1/2)*tan(x),x, algorithm=""giac"")","\frac{{\left(a + b\right)} \arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}} + \frac{1}{2} \, \sqrt{b} \log\left({\left| -\sqrt{b} \tan\left(x\right)^{2} + \sqrt{b \tan\left(x\right)^{4} + a} \right|}\right) + \frac{1}{2} \, \sqrt{b \tan\left(x\right)^{4} + a}"," ",0,"(a + b)*arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b) + 1/2*sqrt(b)*log(abs(-sqrt(b)*tan(x)^2 + sqrt(b*tan(x)^4 + a))) + 1/2*sqrt(b*tan(x)^4 + a)","A",0
391,-2,0,0,0.000000," ","integrate(cot(x)*(a+b*tan(x)^4)^(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:Error: Bad Argument Type","F(-2)",0
392,0,0,0,0.000000," ","integrate((a+b*tan(x)^4)^(1/2)*tan(x)^2,x, algorithm=""giac"")","\int \sqrt{b \tan\left(x\right)^{4} + a} \tan\left(x\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*tan(x)^4 + a)*tan(x)^2, x)","F",0
393,1,176,0,0.600128," ","integrate(tan(x)^3*(a+b*tan(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{48} \, \sqrt{b \tan\left(x\right)^{4} + a} {\left({\left(2 \, {\left(3 \, b \tan\left(x\right)^{2} - 4 \, b\right)} \tan\left(x\right)^{2} + \frac{3 \, {\left(5 \, a b^{2} + 4 \, b^{3}\right)}}{b^{2}}\right)} \tan\left(x\right)^{2} - \frac{8 \, {\left(4 \, a b^{2} + 3 \, b^{3}\right)}}{b^{2}}\right)} - \frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} \arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}} - \frac{{\left(3 \, a^{2} \sqrt{b} + 12 \, a b^{\frac{3}{2}} + 8 \, b^{\frac{5}{2}}\right)} \log\left({\left| -\sqrt{b} \tan\left(x\right)^{2} + \sqrt{b \tan\left(x\right)^{4} + a} \right|}\right)}{16 \, b}"," ",0,"1/48*sqrt(b*tan(x)^4 + a)*((2*(3*b*tan(x)^2 - 4*b)*tan(x)^2 + 3*(5*a*b^2 + 4*b^3)/b^2)*tan(x)^2 - 8*(4*a*b^2 + 3*b^3)/b^2) - (a^2 + 2*a*b + b^2)*arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b) - 1/16*(3*a^2*sqrt(b) + 12*a*b^(3/2) + 8*b^(5/2))*log(abs(-sqrt(b)*tan(x)^2 + sqrt(b*tan(x)^4 + a)))/b","A",0
394,1,138,0,0.697711," ","integrate(tan(x)*(a+b*tan(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left(3 \, a \sqrt{b} + 2 \, b^{\frac{3}{2}}\right)} \log\left({\left| -\sqrt{b} \tan\left(x\right)^{2} + \sqrt{b \tan\left(x\right)^{4} + a} \right|}\right) + \frac{1}{12} \, \sqrt{b \tan\left(x\right)^{4} + a} {\left({\left(2 \, b \tan\left(x\right)^{2} - 3 \, b\right)} \tan\left(x\right)^{2} + \frac{2 \, {\left(4 \, a b + 3 \, b^{2}\right)}}{b}\right)} + \frac{{\left(a^{2} + 2 \, a b + b^{2}\right)} \arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}}"," ",0,"1/4*(3*a*sqrt(b) + 2*b^(3/2))*log(abs(-sqrt(b)*tan(x)^2 + sqrt(b*tan(x)^4 + a))) + 1/12*sqrt(b*tan(x)^4 + a)*((2*b*tan(x)^2 - 3*b)*tan(x)^2 + 2*(4*a*b + 3*b^2)/b) + (a^2 + 2*a*b + b^2)*arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b)","A",0
395,-2,0,0,0.000000," ","integrate(cot(x)*(a+b*tan(x)^4)^(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:Error: Bad Argument Type","F(-2)",0
396,1,75,0,0.652465," ","integrate(tan(x)^3/(a+b*tan(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{\arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}} - \frac{\log\left({\left| -\sqrt{b} \tan\left(x\right)^{2} + \sqrt{b \tan\left(x\right)^{4} + a} \right|}\right)}{2 \, \sqrt{b}}"," ",0,"-arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b) - 1/2*log(abs(-sqrt(b)*tan(x)^2 + sqrt(b*tan(x)^4 + a)))/sqrt(b)","A",0
397,1,46,0,0.460995," ","integrate(tan(x)/(a+b*tan(x)^4)^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(-\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{\sqrt{-a - b}}"," ",0,"arctan(-(sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/sqrt(-a - b)","A",0
398,-2,0,0,0.000000," ","integrate(cot(x)/(a+b*tan(x)^4)^(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:Error: Bad Argument Type","F(-2)",0
399,0,0,0,0.000000," ","integrate(tan(x)^2/(a+b*tan(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{\tan\left(x\right)^{2}}{\sqrt{b \tan\left(x\right)^{4} + a}}\,{d x}"," ",0,"integrate(tan(x)^2/sqrt(b*tan(x)^4 + a), x)","F",0
400,1,103,0,0.549566," ","integrate(tan(x)^3/(a+b*tan(x)^4)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(a + b\right)} \tan\left(x\right)^{2}}{a^{2} + 2 \, a b + b^{2}} - \frac{a + b}{a^{2} + 2 \, a b + b^{2}}}{2 \, \sqrt{b \tan\left(x\right)^{4} + a}} + \frac{\arctan\left(\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{{\left(a + b\right)} \sqrt{-a - b}}"," ",0,"1/2*((a + b)*tan(x)^2/(a^2 + 2*a*b + b^2) - (a + b)/(a^2 + 2*a*b + b^2))/sqrt(b*tan(x)^4 + a) + arctan((sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/((a + b)*sqrt(-a - b))","A",0
401,1,119,0,0.471325," ","integrate(tan(x)/(a+b*tan(x)^4)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(a b + b^{2}\right)} \tan\left(x\right)^{2}}{a^{3} + 2 \, a^{2} b + a b^{2}} + \frac{a^{2} + a b}{a^{3} + 2 \, a^{2} b + a b^{2}}}{2 \, \sqrt{b \tan\left(x\right)^{4} + a}} - \frac{\arctan\left(\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{{\left(a + b\right)} \sqrt{-a - b}}"," ",0,"1/2*((a*b + b^2)*tan(x)^2/(a^3 + 2*a^2*b + a*b^2) + (a^2 + a*b)/(a^3 + 2*a^2*b + a*b^2))/sqrt(b*tan(x)^4 + a) - arctan((sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/((a + b)*sqrt(-a - b))","A",0
402,-2,0,0,0.000000," ","integrate(cot(x)/(a+b*tan(x)^4)^(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:Error: Bad Argument Type","F(-2)",0
403,1,597,0,0.686317," ","integrate(tan(x)^3/(a+b*tan(x)^4)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(\frac{{\left(2 \, a^{7} b^{2} + 11 \, a^{6} b^{3} + 24 \, a^{5} b^{4} + 25 \, a^{4} b^{5} + 10 \, a^{3} b^{6} - 3 \, a^{2} b^{7} - 4 \, a b^{8} - b^{9}\right)} \tan\left(x\right)^{2}}{a^{9} b + 8 \, a^{8} b^{2} + 28 \, a^{7} b^{3} + 56 \, a^{6} b^{4} + 70 \, a^{5} b^{5} + 56 \, a^{4} b^{6} + 28 \, a^{3} b^{7} + 8 \, a^{2} b^{8} + a b^{9}} - \frac{3 \, {\left(a^{7} b^{2} + 6 \, a^{6} b^{3} + 15 \, a^{5} b^{4} + 20 \, a^{4} b^{5} + 15 \, a^{3} b^{6} + 6 \, a^{2} b^{7} + a b^{8}\right)}}{a^{9} b + 8 \, a^{8} b^{2} + 28 \, a^{7} b^{3} + 56 \, a^{6} b^{4} + 70 \, a^{5} b^{5} + 56 \, a^{4} b^{6} + 28 \, a^{3} b^{7} + 8 \, a^{2} b^{8} + a b^{9}}\right)} \tan\left(x\right)^{2} + \frac{3 \, {\left(a^{8} b + 6 \, a^{7} b^{2} + 15 \, a^{6} b^{3} + 20 \, a^{5} b^{4} + 15 \, a^{4} b^{5} + 6 \, a^{3} b^{6} + a^{2} b^{7}\right)}}{a^{9} b + 8 \, a^{8} b^{2} + 28 \, a^{7} b^{3} + 56 \, a^{6} b^{4} + 70 \, a^{5} b^{5} + 56 \, a^{4} b^{6} + 28 \, a^{3} b^{7} + 8 \, a^{2} b^{8} + a b^{9}}\right)} \tan\left(x\right)^{2} - \frac{4 \, a^{8} b + 25 \, a^{7} b^{2} + 66 \, a^{6} b^{3} + 95 \, a^{5} b^{4} + 80 \, a^{4} b^{5} + 39 \, a^{3} b^{6} + 10 \, a^{2} b^{7} + a b^{8}}{a^{9} b + 8 \, a^{8} b^{2} + 28 \, a^{7} b^{3} + 56 \, a^{6} b^{4} + 70 \, a^{5} b^{5} + 56 \, a^{4} b^{6} + 28 \, a^{3} b^{7} + 8 \, a^{2} b^{8} + a b^{9}}}{6 \, {\left(b \tan\left(x\right)^{4} + a\right)}^{\frac{3}{2}}} + \frac{\arctan\left(\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a - b}}"," ",0,"1/6*((((2*a^7*b^2 + 11*a^6*b^3 + 24*a^5*b^4 + 25*a^4*b^5 + 10*a^3*b^6 - 3*a^2*b^7 - 4*a*b^8 - b^9)*tan(x)^2/(a^9*b + 8*a^8*b^2 + 28*a^7*b^3 + 56*a^6*b^4 + 70*a^5*b^5 + 56*a^4*b^6 + 28*a^3*b^7 + 8*a^2*b^8 + a*b^9) - 3*(a^7*b^2 + 6*a^6*b^3 + 15*a^5*b^4 + 20*a^4*b^5 + 15*a^3*b^6 + 6*a^2*b^7 + a*b^8)/(a^9*b + 8*a^8*b^2 + 28*a^7*b^3 + 56*a^6*b^4 + 70*a^5*b^5 + 56*a^4*b^6 + 28*a^3*b^7 + 8*a^2*b^8 + a*b^9))*tan(x)^2 + 3*(a^8*b + 6*a^7*b^2 + 15*a^6*b^3 + 20*a^5*b^4 + 15*a^4*b^5 + 6*a^3*b^6 + a^2*b^7)/(a^9*b + 8*a^8*b^2 + 28*a^7*b^3 + 56*a^6*b^4 + 70*a^5*b^5 + 56*a^4*b^6 + 28*a^3*b^7 + 8*a^2*b^8 + a*b^9))*tan(x)^2 - (4*a^8*b + 25*a^7*b^2 + 66*a^6*b^3 + 95*a^5*b^4 + 80*a^4*b^5 + 39*a^3*b^6 + 10*a^2*b^7 + a*b^8)/(a^9*b + 8*a^8*b^2 + 28*a^7*b^3 + 56*a^6*b^4 + 70*a^5*b^5 + 56*a^4*b^6 + 28*a^3*b^7 + 8*a^2*b^8 + a*b^9))/(b*tan(x)^4 + a)^(3/2) + arctan((sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/((a^2 + 2*a*b + b^2)*sqrt(-a - b))","B",0
404,1,618,0,0.593236," ","integrate(tan(x)/(a+b*tan(x)^4)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(\frac{{\left(5 \, a^{7} b^{3} + 32 \, a^{6} b^{4} + 87 \, a^{5} b^{5} + 130 \, a^{4} b^{6} + 115 \, a^{3} b^{7} + 60 \, a^{2} b^{8} + 17 \, a b^{9} + 2 \, b^{10}\right)} \tan\left(x\right)^{2}}{a^{10} b + 8 \, a^{9} b^{2} + 28 \, a^{8} b^{3} + 56 \, a^{7} b^{4} + 70 \, a^{6} b^{5} + 56 \, a^{5} b^{6} + 28 \, a^{4} b^{7} + 8 \, a^{3} b^{8} + a^{2} b^{9}} + \frac{3 \, {\left(a^{8} b^{2} + 6 \, a^{7} b^{3} + 15 \, a^{6} b^{4} + 20 \, a^{5} b^{5} + 15 \, a^{4} b^{6} + 6 \, a^{3} b^{7} + a^{2} b^{8}\right)}}{a^{10} b + 8 \, a^{9} b^{2} + 28 \, a^{8} b^{3} + 56 \, a^{7} b^{4} + 70 \, a^{6} b^{5} + 56 \, a^{5} b^{6} + 28 \, a^{4} b^{7} + 8 \, a^{3} b^{8} + a^{2} b^{9}}\right)} \tan\left(x\right)^{2} + \frac{3 \, {\left(2 \, a^{8} b^{2} + 13 \, a^{7} b^{3} + 36 \, a^{6} b^{4} + 55 \, a^{5} b^{5} + 50 \, a^{4} b^{6} + 27 \, a^{3} b^{7} + 8 \, a^{2} b^{8} + a b^{9}\right)}}{a^{10} b + 8 \, a^{9} b^{2} + 28 \, a^{8} b^{3} + 56 \, a^{7} b^{4} + 70 \, a^{6} b^{5} + 56 \, a^{5} b^{6} + 28 \, a^{4} b^{7} + 8 \, a^{3} b^{8} + a^{2} b^{9}}\right)} \tan\left(x\right)^{2} + \frac{4 \, a^{9} b + 25 \, a^{8} b^{2} + 66 \, a^{7} b^{3} + 95 \, a^{6} b^{4} + 80 \, a^{5} b^{5} + 39 \, a^{4} b^{6} + 10 \, a^{3} b^{7} + a^{2} b^{8}}{a^{10} b + 8 \, a^{9} b^{2} + 28 \, a^{8} b^{3} + 56 \, a^{7} b^{4} + 70 \, a^{6} b^{5} + 56 \, a^{5} b^{6} + 28 \, a^{4} b^{7} + 8 \, a^{3} b^{8} + a^{2} b^{9}}}{6 \, {\left(b \tan\left(x\right)^{4} + a\right)}^{\frac{3}{2}}} - \frac{\arctan\left(\frac{\sqrt{b} \tan\left(x\right)^{2} - \sqrt{b \tan\left(x\right)^{4} + a} + \sqrt{b}}{\sqrt{-a - b}}\right)}{{\left(a^{2} + 2 \, a b + b^{2}\right)} \sqrt{-a - b}}"," ",0,"1/6*((((5*a^7*b^3 + 32*a^6*b^4 + 87*a^5*b^5 + 130*a^4*b^6 + 115*a^3*b^7 + 60*a^2*b^8 + 17*a*b^9 + 2*b^10)*tan(x)^2/(a^10*b + 8*a^9*b^2 + 28*a^8*b^3 + 56*a^7*b^4 + 70*a^6*b^5 + 56*a^5*b^6 + 28*a^4*b^7 + 8*a^3*b^8 + a^2*b^9) + 3*(a^8*b^2 + 6*a^7*b^3 + 15*a^6*b^4 + 20*a^5*b^5 + 15*a^4*b^6 + 6*a^3*b^7 + a^2*b^8)/(a^10*b + 8*a^9*b^2 + 28*a^8*b^3 + 56*a^7*b^4 + 70*a^6*b^5 + 56*a^5*b^6 + 28*a^4*b^7 + 8*a^3*b^8 + a^2*b^9))*tan(x)^2 + 3*(2*a^8*b^2 + 13*a^7*b^3 + 36*a^6*b^4 + 55*a^5*b^5 + 50*a^4*b^6 + 27*a^3*b^7 + 8*a^2*b^8 + a*b^9)/(a^10*b + 8*a^9*b^2 + 28*a^8*b^3 + 56*a^7*b^4 + 70*a^6*b^5 + 56*a^5*b^6 + 28*a^4*b^7 + 8*a^3*b^8 + a^2*b^9))*tan(x)^2 + (4*a^9*b + 25*a^8*b^2 + 66*a^7*b^3 + 95*a^6*b^4 + 80*a^5*b^5 + 39*a^4*b^6 + 10*a^3*b^7 + a^2*b^8)/(a^10*b + 8*a^9*b^2 + 28*a^8*b^3 + 56*a^7*b^4 + 70*a^6*b^5 + 56*a^5*b^6 + 28*a^4*b^7 + 8*a^3*b^8 + a^2*b^9))/(b*tan(x)^4 + a)^(3/2) - arctan((sqrt(b)*tan(x)^2 - sqrt(b*tan(x)^4 + a) + sqrt(b))/sqrt(-a - b))/((a^2 + 2*a*b + b^2)*sqrt(-a - b))","B",0
405,-2,0,0,0.000000," ","integrate(cot(x)/(a+b*tan(x)^4)^(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:Error: Bad Argument Type","F(-2)",0
406,0,0,0,0.000000," ","integrate((a+b*(c*tan(f*x+e))^(1/2))^2*(d*tan(f*x+e))^m,x, algorithm=""giac"")","\int {\left(\sqrt{c \tan\left(f x + e\right)} b + a\right)}^{2} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((sqrt(c*tan(f*x + e))*b + a)^2*(d*tan(f*x + e))^m, x)","F",0
407,0,0,0,0.000000," ","integrate((a+b*(c*tan(f*x+e))^(1/2))*(d*tan(f*x+e))^m,x, algorithm=""giac"")","\int {\left(\sqrt{c \tan\left(f x + e\right)} b + a\right)} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((sqrt(c*tan(f*x + e))*b + a)*(d*tan(f*x + e))^m, x)","F",0
408,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m/(a+b*(c*tan(f*x+e))^(1/2)),x, algorithm=""giac"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{m}}{\sqrt{c \tan\left(f x + e\right)} b + a}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^m/(sqrt(c*tan(f*x + e))*b + a), x)","F",0
409,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m/(a+b*(c*tan(f*x+e))^(1/2))^2,x, algorithm=""giac"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{m}}{{\left(\sqrt{c \tan\left(f x + e\right)} b + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^m/(sqrt(c*tan(f*x + e))*b + a)^2, x)","F",0
410,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \tan\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*tan(f*x + e))^m, x)","F",0
411,0,0,0,0.000000," ","integrate(tan(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*tan(f*x + e)^2, x)","F",0
412,0,0,0,0.000000," ","integrate((b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p, x)","F",0
413,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cot(f*x + e)^2, x)","F",0
414,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cot(f*x + e)^4, x)","F",0
415,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cot(f*x + e)^6, x)","F",0
416,0,0,0,0.000000," ","integrate(tan(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*tan(f*x + e)^3, x)","F",0
417,0,0,0,0.000000," ","integrate(tan(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*tan(f*x + e), x)","F",0
418,0,0,0,0.000000," ","integrate(cot(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cot\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cot(f*x + e), x)","F",0
419,0,0,0,0.000000," ","integrate(cot(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cot\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cot(f*x + e)^3, x)","F",0
420,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\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*tan(f*x + e))^n*b + a)^p*(d*tan(f*x + e))^m, x)","F",0
421,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \cot\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*cot(f*x + e))^m, x)","F",0
422,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \cot\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*cot(f*x + e))^m, x)","F",0
423,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \cot\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*cot(f*x + e))^m, x)","F",0
424,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \left(d \cot\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*(d*cot(f*x + e))^m, x)","F",0
425,1,98,0,1.588287," ","integrate(sec(d*x+c)^3*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(4 \, a - b\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(4 \, a - b\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, {\left(4 \, a \sin\left(d x + c\right)^{3} - b \sin\left(d x + c\right)^{3} - 4 \, a \sin\left(d x + c\right) - b \sin\left(d x + c\right)\right)}}{{\left(\sin\left(d x + c\right)^{2} - 1\right)}^{2}}}{16 \, d}"," ",0,"1/16*((4*a - b)*log(abs(sin(d*x + c) + 1)) - (4*a - b)*log(abs(sin(d*x + c) - 1)) - 2*(4*a*sin(d*x + c)^3 - b*sin(d*x + c)^3 - 4*a*sin(d*x + c) - b*sin(d*x + c))/(sin(d*x + c)^2 - 1)^2)/d","A",0
426,1,64,0,1.390389," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(2 \, a - b\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(2 \, a - b\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, b \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1}}{4 \, d}"," ",0,"1/4*((2*a - b)*log(abs(sin(d*x + c) + 1)) - (2*a - b)*log(abs(sin(d*x + c) - 1)) - 2*b*sin(d*x + c)/(sin(d*x + c)^2 - 1))/d","A",0
427,1,48,0,1.492449," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{b {\left(\log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - 2 \, \sin\left(d x + c\right)\right)} + 2 \, a \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(b*(log(abs(sin(d*x + c) + 1)) - log(abs(sin(d*x + c) - 1)) - 2*sin(d*x + c)) + 2*a*sin(d*x + c))/d","A",0
428,1,36,0,1.479611," ","integrate(cos(d*x+c)^3*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{a \sin\left(d x + c\right)^{3} - b \sin\left(d x + c\right)^{3} - 3 \, a \sin\left(d x + c\right)}{3 \, d}"," ",0,"-1/3*(a*sin(d*x + c)^3 - b*sin(d*x + c)^3 - 3*a*sin(d*x + c))/d","A",0
429,-1,0,0,0.000000," ","integrate(cos(d*x+c)^5*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
430,-1,0,0,0.000000," ","integrate(cos(d*x+c)^7*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
431,1,70,0,1.888646," ","integrate(sec(d*x+c)^6*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{15 \, b \tan\left(d x + c\right)^{7} + 21 \, a \tan\left(d x + c\right)^{5} + 42 \, b \tan\left(d x + c\right)^{5} + 70 \, a \tan\left(d x + c\right)^{3} + 35 \, b \tan\left(d x + c\right)^{3} + 105 \, a \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*b*tan(d*x + c)^7 + 21*a*tan(d*x + c)^5 + 42*b*tan(d*x + c)^5 + 70*a*tan(d*x + c)^3 + 35*b*tan(d*x + c)^3 + 105*a*tan(d*x + c))/d","A",0
432,1,48,0,1.518767," ","integrate(sec(d*x+c)^4*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, b \tan\left(d x + c\right)^{5} + 5 \, a \tan\left(d x + c\right)^{3} + 5 \, b \tan\left(d x + c\right)^{3} + 15 \, a \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*b*tan(d*x + c)^5 + 5*a*tan(d*x + c)^3 + 5*b*tan(d*x + c)^3 + 15*a*tan(d*x + c))/d","A",0
433,1,25,0,1.738539," ","integrate(sec(d*x+c)^2*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{b \tan\left(d x + c\right)^{3} + 3 \, a \tan\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(b*tan(d*x + c)^3 + 3*a*tan(d*x + c))/d","A",0
434,1,169,0,1.497494," ","integrate(cos(d*x+c)^2*(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{a d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + a d x \tan\left(d x\right)^{2} + b d x \tan\left(d x\right)^{2} + a d x \tan\left(c\right)^{2} + b d x \tan\left(c\right)^{2} - a \tan\left(d x\right)^{2} \tan\left(c\right) + b \tan\left(d x\right)^{2} \tan\left(c\right) - a \tan\left(d x\right) \tan\left(c\right)^{2} + b \tan\left(d x\right) \tan\left(c\right)^{2} + a d x + b d x + a \tan\left(d x\right) - b \tan\left(d x\right) + a \tan\left(c\right) - b \tan\left(c\right)}{2 \, {\left(d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + d \tan\left(d x\right)^{2} + d \tan\left(c\right)^{2} + d\right)}}"," ",0,"1/2*(a*d*x*tan(d*x)^2*tan(c)^2 + b*d*x*tan(d*x)^2*tan(c)^2 + a*d*x*tan(d*x)^2 + b*d*x*tan(d*x)^2 + a*d*x*tan(c)^2 + b*d*x*tan(c)^2 - a*tan(d*x)^2*tan(c) + b*tan(d*x)^2*tan(c) - a*tan(d*x)*tan(c)^2 + b*tan(d*x)*tan(c)^2 + a*d*x + b*d*x + a*tan(d*x) - b*tan(d*x) + a*tan(c) - b*tan(c))/(d*tan(d*x)^2*tan(c)^2 + d*tan(d*x)^2 + d*tan(c)^2 + d)","B",0
435,-2,0,0,0.000000," ","integrate(cos(d*x+c)^4*(a+b*tan(d*x+c)^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)(24*a*d*x*tan(c)^4*tan(d*x)^4+48*a*d*x*tan(c)^4*tan(d*x)^2+24*a*d*x*tan(c)^4+48*a*d*x*tan(c)^2*tan(d*x)^4+96*a*d*x*tan(c)^2*tan(d*x)^2+48*a*d*x*tan(c)^2+24*a*d*x*tan(d*x)^4+48*a*d*x*tan(d*x)^2+24*a*d*x-40*a*tan(c)^4*tan(d*x)^3-24*a*tan(c)^4*tan(d*x)-40*a*tan(c)^3*tan(d*x)^4+48*a*tan(c)^3*tan(d*x)^2+24*a*tan(c)^3+48*a*tan(c)^2*tan(d*x)^3-48*a*tan(c)^2*tan(d*x)-24*a*tan(c)*tan(d*x)^4-48*a*tan(c)*tan(d*x)^2+40*a*tan(c)+24*a*tan(d*x)^3+40*a*tan(d*x)+8*b*d*x*tan(c)^4*tan(d*x)^4+16*b*d*x*tan(c)^4*tan(d*x)^2+8*b*d*x*tan(c)^4+16*b*d*x*tan(c)^2*tan(d*x)^4+32*b*d*x*tan(c)^2*tan(d*x)^2+16*b*d*x*tan(c)^2+8*b*d*x*tan(d*x)^4+16*b*d*x*tan(d*x)^2+8*b*d*x+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4*tan(d*x)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2*tan(d*x)^4+12*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2*tan(d*x)^2+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(d*x)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4*tan(d*x)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2*tan(d*x)^4+12*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2*tan(d*x)^2+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(d*x)^4+6*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4*tan(d*x)^4+12*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4*tan(d*x)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4+12*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^4+24*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^2+12*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(d*x)^4+12*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(d*x)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4*tan(d*x)^4-12*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4*tan(d*x)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4-12*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2*tan(d*x)^4-24*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2*tan(d*x)^2-12*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(d*x)^4-12*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(d*x)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))+8*b*tan(c)^4*tan(d*x)^3-8*b*tan(c)^4*tan(d*x)+8*b*tan(c)^3*tan(d*x)^4-48*b*tan(c)^3*tan(d*x)^2+8*b*tan(c)^3-48*b*tan(c)^2*tan(d*x)^3+48*b*tan(c)^2*tan(d*x)-8*b*tan(c)*tan(d*x)^4+48*b*tan(c)*tan(d*x)^2-8*b*tan(c)+8*b*tan(d*x)^3-8*b*tan(d*x))/(64*d*tan(c)^4*tan(d*x)^4+128*d*tan(c)^4*tan(d*x)^2+64*d*tan(c)^4+128*d*tan(c)^2*tan(d*x)^4+256*d*tan(c)^2*tan(d*x)^2+128*d*tan(c)^2+64*d*tan(d*x)^4+128*d*tan(d*x)^2+64*d)","F(-2)",0
436,-2,0,0,0.000000," ","integrate(cos(d*x+c)^6*(a+b*tan(d*x+c)^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)(30*a*d*x*tan(c)^6*tan(d*x)^6+90*a*d*x*tan(c)^6*tan(d*x)^4+90*a*d*x*tan(c)^6*tan(d*x)^2+30*a*d*x*tan(c)^6+90*a*d*x*tan(c)^4*tan(d*x)^6+270*a*d*x*tan(c)^4*tan(d*x)^4+270*a*d*x*tan(c)^4*tan(d*x)^2+90*a*d*x*tan(c)^4+90*a*d*x*tan(c)^2*tan(d*x)^6+270*a*d*x*tan(c)^2*tan(d*x)^4+270*a*d*x*tan(c)^2*tan(d*x)^2+90*a*d*x*tan(c)^2+30*a*d*x*tan(d*x)^6+90*a*d*x*tan(d*x)^4+90*a*d*x*tan(d*x)^2+30*a*d*x-66*a*tan(c)^6*tan(d*x)^5-80*a*tan(c)^6*tan(d*x)^3-30*a*tan(c)^6*tan(d*x)-66*a*tan(c)^5*tan(d*x)^6+90*a*tan(c)^5*tan(d*x)^4+90*a*tan(c)^5*tan(d*x)^2+30*a*tan(c)^5+90*a*tan(c)^4*tan(d*x)^5-240*a*tan(c)^4*tan(d*x)^3-90*a*tan(c)^4*tan(d*x)-80*a*tan(c)^3*tan(d*x)^6-240*a*tan(c)^3*tan(d*x)^4+240*a*tan(c)^3*tan(d*x)^2+80*a*tan(c)^3+90*a*tan(c)^2*tan(d*x)^5+240*a*tan(c)^2*tan(d*x)^3-90*a*tan(c)^2*tan(d*x)-30*a*tan(c)*tan(d*x)^6-90*a*tan(c)*tan(d*x)^4-90*a*tan(c)*tan(d*x)^2+66*a*tan(c)+30*a*tan(d*x)^5+80*a*tan(d*x)^3+66*a*tan(d*x)+6*b*d*x*tan(c)^6*tan(d*x)^6+18*b*d*x*tan(c)^6*tan(d*x)^4+18*b*d*x*tan(c)^6*tan(d*x)^2+6*b*d*x*tan(c)^6+18*b*d*x*tan(c)^4*tan(d*x)^6+54*b*d*x*tan(c)^4*tan(d*x)^4+54*b*d*x*tan(c)^4*tan(d*x)^2+18*b*d*x*tan(c)^4+18*b*d*x*tan(c)^2*tan(d*x)^6+54*b*d*x*tan(c)^2*tan(d*x)^4+54*b*d*x*tan(c)^2*tan(d*x)^2+18*b*d*x*tan(c)^2+6*b*d*x*tan(d*x)^6+18*b*d*x*tan(d*x)^4+18*b*d*x*tan(d*x)^2+6*b*d*x+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^6*tan(d*x)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^6*tan(d*x)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^6*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4*tan(d*x)^6+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4*tan(d*x)^4+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4*tan(d*x)^2+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2*tan(d*x)^6+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2*tan(d*x)^4+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2*tan(d*x)^2+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(c)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(d*x)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(d*x)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*sign(2*tan(c)^2*tan(d*x)^2-2)+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^6*tan(d*x)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^6*tan(d*x)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^6*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4*tan(d*x)^6+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4*tan(d*x)^4+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4*tan(d*x)^2+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2*tan(d*x)^6+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2*tan(d*x)^4+27*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2*tan(d*x)^2+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(c)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(d*x)^6+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(d*x)^4+9*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))*tan(d*x)^2+3*b*pi*sign(2*tan(c)^2*tan(d*x)-2*tan(c)*tan(d*x)^2-2*tan(c)+2*tan(d*x))+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^6*tan(d*x)^6+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^6*tan(d*x)^4+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^6*tan(d*x)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^6+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4*tan(d*x)^6+54*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4*tan(d*x)^4+54*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4*tan(d*x)^2+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^4+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^6+54*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^4+54*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2*tan(d*x)^2+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(c)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(d*x)^6+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(d*x)^4+18*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))*tan(d*x)^2+6*b*atan((tan(c)+tan(d*x))/(tan(c)*tan(d*x)-1))-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^6*tan(d*x)^6-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^6*tan(d*x)^4-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^6*tan(d*x)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^6-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4*tan(d*x)^6-54*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4*tan(d*x)^4-54*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4*tan(d*x)^2-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^4-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2*tan(d*x)^6-54*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2*tan(d*x)^4-54*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2*tan(d*x)^2-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(c)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(d*x)^6-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(d*x)^4-18*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))*tan(d*x)^2-6*b*atan((tan(c)-tan(d*x))/(tan(c)*tan(d*x)+1))+6*b*tan(c)^6*tan(d*x)^5-16*b*tan(c)^6*tan(d*x)^3-6*b*tan(c)^6*tan(d*x)+6*b*tan(c)^5*tan(d*x)^6-78*b*tan(c)^5*tan(d*x)^4+18*b*tan(c)^5*tan(d*x)^2+6*b*tan(c)^5-78*b*tan(c)^4*tan(d*x)^5+144*b*tan(c)^4*tan(d*x)^3-18*b*tan(c)^4*tan(d*x)-16*b*tan(c)^3*tan(d*x)^6+144*b*tan(c)^3*tan(d*x)^4-144*b*tan(c)^3*tan(d*x)^2+16*b*tan(c)^3+18*b*tan(c)^2*tan(d*x)^5-144*b*tan(c)^2*tan(d*x)^3+78*b*tan(c)^2*tan(d*x)-6*b*tan(c)*tan(d*x)^6-18*b*tan(c)*tan(d*x)^4+78*b*tan(c)*tan(d*x)^2-6*b*tan(c)+6*b*tan(d*x)^5+16*b*tan(d*x)^3-6*b*tan(d*x))/(96*d*tan(c)^6*tan(d*x)^6+288*d*tan(c)^6*tan(d*x)^4+288*d*tan(c)^6*tan(d*x)^2+96*d*tan(c)^6+288*d*tan(c)^4*tan(d*x)^6+864*d*tan(c)^4*tan(d*x)^4+864*d*tan(c)^4*tan(d*x)^2+288*d*tan(c)^4+288*d*tan(c)^2*tan(d*x)^6+864*d*tan(c)^2*tan(d*x)^4+864*d*tan(c)^2*tan(d*x)^2+288*d*tan(c)^2+96*d*tan(d*x)^6+288*d*tan(d*x)^4+288*d*tan(d*x)^2+96*d)","F(-2)",0
437,1,167,0,2.946385," ","integrate(sec(d*x+c)^3*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - 3 \, {\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, {\left(24 \, a^{2} \sin\left(d x + c\right)^{5} - 12 \, a b \sin\left(d x + c\right)^{5} + 3 \, b^{2} \sin\left(d x + c\right)^{5} - 48 \, a^{2} \sin\left(d x + c\right)^{3} + 8 \, b^{2} \sin\left(d x + c\right)^{3} + 24 \, a^{2} \sin\left(d x + c\right) + 12 \, a b \sin\left(d x + c\right) - 3 \, b^{2} \sin\left(d x + c\right)\right)}}{{\left(\sin\left(d x + c\right)^{2} - 1\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(8*a^2 - 4*a*b + b^2)*log(abs(sin(d*x + c) + 1)) - 3*(8*a^2 - 4*a*b + b^2)*log(abs(sin(d*x + c) - 1)) - 2*(24*a^2*sin(d*x + c)^5 - 12*a*b*sin(d*x + c)^5 + 3*b^2*sin(d*x + c)^5 - 48*a^2*sin(d*x + c)^3 + 8*b^2*sin(d*x + c)^3 + 24*a^2*sin(d*x + c) + 12*a*b*sin(d*x + c) - 3*b^2*sin(d*x + c))/(sin(d*x + c)^2 - 1)^3)/d","A",0
438,1,120,0,2.696997," ","integrate(sec(d*x+c)*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{{\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(8 \, a^{2} - 8 \, a b + 3 \, b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, {\left(8 \, a b \sin\left(d x + c\right)^{3} - 5 \, b^{2} \sin\left(d x + c\right)^{3} - 8 \, a b \sin\left(d x + c\right) + 3 \, b^{2} \sin\left(d x + c\right)\right)}}{{\left(\sin\left(d x + c\right)^{2} - 1\right)}^{2}}}{16 \, d}"," ",0,"1/16*((8*a^2 - 8*a*b + 3*b^2)*log(abs(sin(d*x + c) + 1)) - (8*a^2 - 8*a*b + 3*b^2)*log(abs(sin(d*x + c) - 1)) - 2*(8*a*b*sin(d*x + c)^3 - 5*b^2*sin(d*x + c)^3 - 8*a*b*sin(d*x + c) + 3*b^2*sin(d*x + c))/(sin(d*x + c)^2 - 1)^2)/d","A",0
439,1,104,0,2.597358," ","integrate(cos(d*x+c)*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{4 \, a^{2} \sin\left(d x + c\right) - 8 \, a b \sin\left(d x + c\right) + 4 \, b^{2} \sin\left(d x + c\right) + {\left(4 \, a b - 3 \, b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(4 \, a b - 3 \, b^{2}\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, b^{2} \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1}}{4 \, d}"," ",0,"1/4*(4*a^2*sin(d*x + c) - 8*a*b*sin(d*x + c) + 4*b^2*sin(d*x + c) + (4*a*b - 3*b^2)*log(abs(sin(d*x + c) + 1)) - (4*a*b - 3*b^2)*log(abs(sin(d*x + c) - 1)) - 2*b^2*sin(d*x + c)/(sin(d*x + c)^2 - 1))/d","A",0
440,1,96,0,3.016582," ","integrate(cos(d*x+c)^3*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{2 \, a^{2} \sin\left(d x + c\right)^{3} - 4 \, a b \sin\left(d x + c\right)^{3} + 2 \, b^{2} \sin\left(d x + c\right)^{3} - 3 \, b^{2} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) + 3 \, b^{2} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - 6 \, a^{2} \sin\left(d x + c\right) + 6 \, b^{2} \sin\left(d x + c\right)}{6 \, d}"," ",0,"-1/6*(2*a^2*sin(d*x + c)^3 - 4*a*b*sin(d*x + c)^3 + 2*b^2*sin(d*x + c)^3 - 3*b^2*log(abs(sin(d*x + c) + 1)) + 3*b^2*log(abs(sin(d*x + c) - 1)) - 6*a^2*sin(d*x + c) + 6*b^2*sin(d*x + c))/d","A",0
441,-1,0,0,0.000000," ","integrate(cos(d*x+c)^5*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
442,-1,0,0,0.000000," ","integrate(cos(d*x+c)^7*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,-1,0,0,0.000000," ","integrate(cos(d*x+c)^9*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,1,118,0,3.138763," ","integrate(sec(d*x+c)^6*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{35 \, b^{2} \tan\left(d x + c\right)^{9} + 90 \, a b \tan\left(d x + c\right)^{7} + 90 \, b^{2} \tan\left(d x + c\right)^{7} + 63 \, a^{2} \tan\left(d x + c\right)^{5} + 252 \, a b \tan\left(d x + c\right)^{5} + 63 \, b^{2} \tan\left(d x + c\right)^{5} + 210 \, a^{2} \tan\left(d x + c\right)^{3} + 210 \, a b \tan\left(d x + c\right)^{3} + 315 \, a^{2} \tan\left(d x + c\right)}{315 \, d}"," ",0,"1/315*(35*b^2*tan(d*x + c)^9 + 90*a*b*tan(d*x + c)^7 + 90*b^2*tan(d*x + c)^7 + 63*a^2*tan(d*x + c)^5 + 252*a*b*tan(d*x + c)^5 + 63*b^2*tan(d*x + c)^5 + 210*a^2*tan(d*x + c)^3 + 210*a*b*tan(d*x + c)^3 + 315*a^2*tan(d*x + c))/d","A",0
445,1,80,0,3.991199," ","integrate(sec(d*x+c)^4*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{15 \, b^{2} \tan\left(d x + c\right)^{7} + 42 \, a b \tan\left(d x + c\right)^{5} + 21 \, b^{2} \tan\left(d x + c\right)^{5} + 35 \, a^{2} \tan\left(d x + c\right)^{3} + 70 \, a b \tan\left(d x + c\right)^{3} + 105 \, a^{2} \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*b^2*tan(d*x + c)^7 + 42*a*b*tan(d*x + c)^5 + 21*b^2*tan(d*x + c)^5 + 35*a^2*tan(d*x + c)^3 + 70*a*b*tan(d*x + c)^3 + 105*a^2*tan(d*x + c))/d","A",0
446,1,42,0,2.753361," ","integrate(sec(d*x+c)^2*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, b^{2} \tan\left(d x + c\right)^{5} + 10 \, a b \tan\left(d x + c\right)^{3} + 15 \, a^{2} \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*b^2*tan(d*x + c)^5 + 10*a*b*tan(d*x + c)^3 + 15*a^2*tan(d*x + c))/d","A",0
447,1,594,0,3.359970," ","integrate(cos(d*x+c)^2*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 2 \, a b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right) + 2 \, a b d x \tan\left(d x\right)^{3} \tan\left(c\right) - 3 \, b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right) - a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + a^{2} d x \tan\left(d x\right) \tan\left(c\right)^{3} + 2 \, a b d x \tan\left(d x\right) \tan\left(c\right)^{3} - 3 \, b^{2} d x \tan\left(d x\right) \tan\left(c\right)^{3} - a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 2 \, a b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 3 \, b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 2 \, a b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 3 \, b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - a^{2} d x \tan\left(d x\right)^{2} - 2 \, a b d x \tan\left(d x\right)^{2} + 3 \, b^{2} d x \tan\left(d x\right)^{2} + a^{2} d x \tan\left(d x\right) \tan\left(c\right) + 2 \, a b d x \tan\left(d x\right) \tan\left(c\right) - 3 \, b^{2} d x \tan\left(d x\right) \tan\left(c\right) - a^{2} d x \tan\left(c\right)^{2} - 2 \, a b d x \tan\left(c\right)^{2} + 3 \, b^{2} d x \tan\left(c\right)^{2} - 2 \, b^{2} \tan\left(d x\right)^{3} + 2 \, a^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 4 \, a b \tan\left(d x\right)^{2} \tan\left(c\right) + 2 \, a^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 4 \, a b \tan\left(d x\right) \tan\left(c\right)^{2} - 2 \, b^{2} \tan\left(c\right)^{3} - a^{2} d x - 2 \, a b d x + 3 \, b^{2} d x - a^{2} \tan\left(d x\right) + 2 \, a b \tan\left(d x\right) - 3 \, b^{2} \tan\left(d x\right) - a^{2} \tan\left(c\right) + 2 \, a b \tan\left(c\right) - 3 \, b^{2} \tan\left(c\right)}{2 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + d \tan\left(d x\right)^{3} \tan\left(c\right) - d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + d \tan\left(d x\right) \tan\left(c\right)^{3} - d \tan\left(d x\right)^{2} + d \tan\left(d x\right) \tan\left(c\right) - d \tan\left(c\right)^{2} - d\right)}}"," ",0,"1/2*(a^2*d*x*tan(d*x)^3*tan(c)^3 + 2*a*b*d*x*tan(d*x)^3*tan(c)^3 - 3*b^2*d*x*tan(d*x)^3*tan(c)^3 + a^2*d*x*tan(d*x)^3*tan(c) + 2*a*b*d*x*tan(d*x)^3*tan(c) - 3*b^2*d*x*tan(d*x)^3*tan(c) - a^2*d*x*tan(d*x)^2*tan(c)^2 - 2*a*b*d*x*tan(d*x)^2*tan(c)^2 + 3*b^2*d*x*tan(d*x)^2*tan(c)^2 + a^2*d*x*tan(d*x)*tan(c)^3 + 2*a*b*d*x*tan(d*x)*tan(c)^3 - 3*b^2*d*x*tan(d*x)*tan(c)^3 - a^2*tan(d*x)^3*tan(c)^2 + 2*a*b*tan(d*x)^3*tan(c)^2 - 3*b^2*tan(d*x)^3*tan(c)^2 - a^2*tan(d*x)^2*tan(c)^3 + 2*a*b*tan(d*x)^2*tan(c)^3 - 3*b^2*tan(d*x)^2*tan(c)^3 - a^2*d*x*tan(d*x)^2 - 2*a*b*d*x*tan(d*x)^2 + 3*b^2*d*x*tan(d*x)^2 + a^2*d*x*tan(d*x)*tan(c) + 2*a*b*d*x*tan(d*x)*tan(c) - 3*b^2*d*x*tan(d*x)*tan(c) - a^2*d*x*tan(c)^2 - 2*a*b*d*x*tan(c)^2 + 3*b^2*d*x*tan(c)^2 - 2*b^2*tan(d*x)^3 + 2*a^2*tan(d*x)^2*tan(c) - 4*a*b*tan(d*x)^2*tan(c) + 2*a^2*tan(d*x)*tan(c)^2 - 4*a*b*tan(d*x)*tan(c)^2 - 2*b^2*tan(c)^3 - a^2*d*x - 2*a*b*d*x + 3*b^2*d*x - a^2*tan(d*x) + 2*a*b*tan(d*x) - 3*b^2*tan(d*x) - a^2*tan(c) + 2*a*b*tan(c) - 3*b^2*tan(c))/(d*tan(d*x)^3*tan(c)^3 + d*tan(d*x)^3*tan(c) - d*tan(d*x)^2*tan(c)^2 + d*tan(d*x)*tan(c)^3 - d*tan(d*x)^2 + d*tan(d*x)*tan(c) - d*tan(c)^2 - d)","B",0
448,-1,0,0,0.000000," ","integrate(cos(d*x+c)^4*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
449,-1,0,0,0.000000," ","integrate(cos(d*x+c)^6*(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
450,1,131,0,2.961646," ","integrate(sec(d*x+c)^5/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, a - 3 \, b\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{b^{2}} - \frac{{\left(2 \, a - 3 \, b\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{b^{2}} - \frac{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b^{2}} + \frac{2 \, \sin\left(d x + c\right)}{{\left(\sin\left(d x + c\right)^{2} - 1\right)} b}}{4 \, d}"," ",0,"-1/4*((2*a - 3*b)*log(abs(sin(d*x + c) + 1))/b^2 - (2*a - 3*b)*log(abs(sin(d*x + c) - 1))/b^2 - 4*(a^2 - 2*a*b + b^2)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b^2) + 2*sin(d*x + c)/((sin(d*x + c)^2 - 1)*b))/d","A",0
451,1,88,0,1.837541," ","integrate(sec(d*x+c)^3/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(a - b\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} b} - \frac{\log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{b} + \frac{\log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{b}}{2 \, d}"," ",0,"-1/2*(2*(a - b)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*b) - log(abs(sin(d*x + c) + 1))/b + log(abs(sin(d*x + c) - 1))/b)/d","A",0
452,1,47,0,1.726464," ","integrate(sec(d*x+c)/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} d}"," ",0,"-arctan((a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*d)","A",0
453,1,73,0,2.119024," ","integrate(cos(d*x+c)/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} {\left(a - b\right)}} - \frac{\sin\left(d x + c\right)}{a - b}}{d}"," ",0,"-(b*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*(a - b)) - sin(d*x + c)/(a - b))/d","A",0
454,1,161,0,1.540560," ","integrate(cos(d*x+c)^3/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{2} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{-a^{2} + a b}} - \frac{a^{2} \sin\left(d x + c\right)^{3} - 2 \, a b \sin\left(d x + c\right)^{3} + b^{2} \sin\left(d x + c\right)^{3} - 3 \, a^{2} \sin\left(d x + c\right) + 9 \, a b \sin\left(d x + c\right) - 6 \, b^{2} \sin\left(d x + c\right)}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}}}{3 \, d}"," ",0,"1/3*(3*b^2*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/((a^2 - 2*a*b + b^2)*sqrt(-a^2 + a*b)) - (a^2*sin(d*x + c)^3 - 2*a*b*sin(d*x + c)^3 + b^2*sin(d*x + c)^3 - 3*a^2*sin(d*x + c) + 9*a*b*sin(d*x + c) - 6*b^2*sin(d*x + c))/(a^3 - 3*a^2*b + 3*a*b^2 - b^3))/d","B",0
455,1,319,0,1.503639," ","integrate(cos(d*x+c)^5/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, b^{3} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{-a^{2} + a b}} - \frac{3 \, a^{4} \sin\left(d x + c\right)^{5} - 12 \, a^{3} b \sin\left(d x + c\right)^{5} + 18 \, a^{2} b^{2} \sin\left(d x + c\right)^{5} - 12 \, a b^{3} \sin\left(d x + c\right)^{5} + 3 \, b^{4} \sin\left(d x + c\right)^{5} - 10 \, a^{4} \sin\left(d x + c\right)^{3} + 45 \, a^{3} b \sin\left(d x + c\right)^{3} - 75 \, a^{2} b^{2} \sin\left(d x + c\right)^{3} + 55 \, a b^{3} \sin\left(d x + c\right)^{3} - 15 \, b^{4} \sin\left(d x + c\right)^{3} + 15 \, a^{4} \sin\left(d x + c\right) - 75 \, a^{3} b \sin\left(d x + c\right) + 150 \, a^{2} b^{2} \sin\left(d x + c\right) - 135 \, a b^{3} \sin\left(d x + c\right) + 45 \, b^{4} \sin\left(d x + c\right)}{a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}}}{15 \, d}"," ",0,"-1/15*(15*b^3*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(-a^2 + a*b)) - (3*a^4*sin(d*x + c)^5 - 12*a^3*b*sin(d*x + c)^5 + 18*a^2*b^2*sin(d*x + c)^5 - 12*a*b^3*sin(d*x + c)^5 + 3*b^4*sin(d*x + c)^5 - 10*a^4*sin(d*x + c)^3 + 45*a^3*b*sin(d*x + c)^3 - 75*a^2*b^2*sin(d*x + c)^3 + 55*a*b^3*sin(d*x + c)^3 - 15*b^4*sin(d*x + c)^3 + 15*a^4*sin(d*x + c) - 75*a^3*b*sin(d*x + c) + 150*a^2*b^2*sin(d*x + c) - 135*a*b^3*sin(d*x + c) + 45*b^4*sin(d*x + c))/(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5))/d","B",0
456,1,151,0,1.428654," ","integrate(sec(d*x+c)^8/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\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}}\right)\right)}}{\sqrt{a b} b^{3}} - \frac{3 \, b^{4} \tan\left(d x + c\right)^{5} - 5 \, a b^{3} \tan\left(d x + c\right)^{3} + 15 \, b^{4} \tan\left(d x + c\right)^{3} + 15 \, a^{2} b^{2} \tan\left(d x + c\right) - 45 \, a b^{3} \tan\left(d x + c\right) + 45 \, b^{4} \tan\left(d x + c\right)}{b^{5}}}{15 \, d}"," ",0,"-1/15*(15*(a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/(sqrt(a*b)*b^3) - (3*b^4*tan(d*x + c)^5 - 5*a*b^3*tan(d*x + c)^3 + 15*b^4*tan(d*x + c)^3 + 15*a^2*b^2*tan(d*x + c) - 45*a*b^3*tan(d*x + c) + 45*b^4*tan(d*x + c))/b^5)/d","A",0
457,1,96,0,1.459809," ","integrate(sec(d*x+c)^6/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{3 \, {\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}}\right)\right)} {\left(a^{2} - 2 \, a b + b^{2}\right)}}{\sqrt{a b} b^{2}} + \frac{b^{2} \tan\left(d x + c\right)^{3} - 3 \, a b \tan\left(d x + c\right) + 6 \, b^{2} \tan\left(d x + c\right)}{b^{3}}}{3 \, d}"," ",0,"1/3*(3*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*(a^2 - 2*a*b + b^2)/(sqrt(a*b)*b^2) + (b^2*tan(d*x + c)^3 - 3*a*b*tan(d*x + c) + 6*b^2*tan(d*x + c))/b^3)/d","A",0
458,1,62,0,1.381523," ","integrate(sec(d*x+c)^4/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{{\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}}\right)\right)} {\left(a - b\right)}}{\sqrt{a b} b} - \frac{\tan\left(d x + c\right)}{b}}{d}"," ",0,"-((pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*(a - b)/(sqrt(a*b)*b) - tan(d*x + c)/b)/d","A",0
459,1,40,0,1.604076," ","integrate(sec(d*x+c)^2/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{\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}}\right)}{\sqrt{a b} d}"," ",0,"(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/(sqrt(a*b)*d)","A",0
460,1,110,0,1.524757," ","integrate(cos(d*x+c)^2/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","\frac{\frac{2 \, {\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}}\right)\right)} b^{2}}{{\left(a^{2} - 2 \, a b + b^{2}\right)} \sqrt{a b}} + \frac{{\left(d x + c\right)} {\left(a - 3 \, b\right)}}{a^{2} - 2 \, a b + b^{2}} + \frac{\tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)} {\left(a - b\right)}}}{2 \, d}"," ",0,"1/2*(2*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*b^2/((a^2 - 2*a*b + b^2)*sqrt(a*b)) + (d*x + c)*(a - 3*b)/(a^2 - 2*a*b + b^2) + tan(d*x + c)/((tan(d*x + c)^2 + 1)*(a - b)))/d","A",0
461,1,183,0,1.456453," ","integrate(cos(d*x+c)^4/(a+b*tan(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{8 \, {\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}}\right)\right)} b^{3}}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} \sqrt{a b}} - \frac{{\left(3 \, a^{2} - 10 \, a b + 15 \, b^{2}\right)} {\left(d x + c\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{3 \, a \tan\left(d x + c\right)^{3} - 7 \, b \tan\left(d x + c\right)^{3} + 5 \, a \tan\left(d x + c\right) - 9 \, b \tan\left(d x + c\right)}{{\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(\tan\left(d x + c\right)^{2} + 1\right)}^{2}}}{8 \, d}"," ",0,"-1/8*(8*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*b^3/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*sqrt(a*b)) - (3*a^2 - 10*a*b + 15*b^2)*(d*x + c)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - (3*a*tan(d*x + c)^3 - 7*b*tan(d*x + c)^3 + 5*a*tan(d*x + c) - 9*b*tan(d*x + c))/((a^2 - 2*a*b + b^2)*(tan(d*x + c)^2 + 1)^2))/d","A",0
462,1,245,0,2.258071," ","integrate(sec(d*x+c)^7/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, a - 5 \, b\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{b^{3}} - \frac{{\left(4 \, a - 5 \, b\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{b^{3}} - \frac{2 \, {\left(4 \, a^{3} - 7 \, a^{2} b + 2 \, a b^{2} + b^{3}\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a b^{3}} + \frac{2 \, {\left(2 \, a^{2} \sin\left(d x + c\right)^{3} - 3 \, a b \sin\left(d x + c\right)^{3} + b^{2} \sin\left(d x + c\right)^{3} - 2 \, a^{2} \sin\left(d x + c\right) + 2 \, a b \sin\left(d x + c\right) - b^{2} \sin\left(d x + c\right)\right)}}{{\left(a \sin\left(d x + c\right)^{4} - b \sin\left(d x + c\right)^{4} - 2 \, a \sin\left(d x + c\right)^{2} + b \sin\left(d x + c\right)^{2} + a\right)} a b^{2}}}{4 \, d}"," ",0,"-1/4*((4*a - 5*b)*log(abs(sin(d*x + c) + 1))/b^3 - (4*a - 5*b)*log(abs(sin(d*x + c) - 1))/b^3 - 2*(4*a^3 - 7*a^2*b + 2*a*b^2 + b^3)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a*b^3) + 2*(2*a^2*sin(d*x + c)^3 - 3*a*b*sin(d*x + c)^3 + b^2*sin(d*x + c)^3 - 2*a^2*sin(d*x + c) + 2*a*b*sin(d*x + c) - b^2*sin(d*x + c))/((a*sin(d*x + c)^4 - b*sin(d*x + c)^4 - 2*a*sin(d*x + c)^2 + b*sin(d*x + c)^2 + a)*a*b^2))/d","A",0
463,1,153,0,2.105283," ","integrate(sec(d*x+c)^5/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{\log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{b^{2}} - \frac{\log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{b^{2}} - \frac{{\left(2 \, a^{2} - a b - b^{2}\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a b^{2}} + \frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{{\left(a \sin\left(d x + c\right)^{2} - b \sin\left(d x + c\right)^{2} - a\right)} a b}}{2 \, d}"," ",0,"1/2*(log(abs(sin(d*x + c) + 1))/b^2 - log(abs(sin(d*x + c) - 1))/b^2 - (2*a^2 - a*b - b^2)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a*b^2) + (a*sin(d*x + c) - b*sin(d*x + c))/((a*sin(d*x + c)^2 - b*sin(d*x + c)^2 - a)*a*b))/d","A",0
464,1,91,0,2.333487," ","integrate(sec(d*x+c)^3/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{\arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{\sqrt{-a^{2} + a b} a} - \frac{\sin\left(d x + c\right)}{{\left(a \sin\left(d x + c\right)^{2} - b \sin\left(d x + c\right)^{2} - a\right)} a}}{2 \, d}"," ",0,"1/2*(arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/(sqrt(-a^2 + a*b)*a) - sin(d*x + c)/((a*sin(d*x + c)^2 - b*sin(d*x + c)^2 - a)*a))/d","A",0
465,1,112,0,1.851885," ","integrate(sec(d*x+c)/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(2 \, a - b\right)} \arctan\left(\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{{\left(a^{2} - a b\right)} \sqrt{-a^{2} + a b}} - \frac{b \sin\left(d x + c\right)}{{\left(a \sin\left(d x + c\right)^{2} - b \sin\left(d x + c\right)^{2} - a\right)} {\left(a^{2} - a b\right)}}}{2 \, d}"," ",0,"-1/2*((2*a - b)*arctan((a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/((a^2 - a*b)*sqrt(-a^2 + a*b)) - b*sin(d*x + c)/((a*sin(d*x + c)^2 - b*sin(d*x + c)^2 - a)*(a^2 - a*b)))/d","A",0
466,1,152,0,1.893778," ","integrate(cos(d*x+c)/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{b^{2} \sin\left(d x + c\right)}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} {\left(a \sin\left(d x + c\right)^{2} - b \sin\left(d x + c\right)^{2} - a\right)}} + \frac{{\left(4 \, a b - b^{2}\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{{\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)} \sqrt{-a^{2} + a b}} - \frac{2 \, \sin\left(d x + c\right)}{a^{2} - 2 \, a b + b^{2}}}{2 \, d}"," ",0,"-1/2*(b^2*sin(d*x + c)/((a^3 - 2*a^2*b + a*b^2)*(a*sin(d*x + c)^2 - b*sin(d*x + c)^2 - a)) + (4*a*b - b^2)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/((a^3 - 2*a^2*b + a*b^2)*sqrt(-a^2 + a*b)) - 2*sin(d*x + c)/(a^2 - 2*a*b + b^2))/d","A",0
467,1,329,0,2.546782," ","integrate(cos(d*x+c)^3/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \sin\left(d x + c\right)}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} {\left(a \sin\left(d x + c\right)^{2} - b \sin\left(d x + c\right)^{2} - a\right)}} + \frac{3 \, {\left(6 \, a b^{2} - b^{3}\right)} \arctan\left(-\frac{a \sin\left(d x + c\right) - b \sin\left(d x + c\right)}{\sqrt{-a^{2} + a b}}\right)}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} \sqrt{-a^{2} + a b}} - \frac{2 \, {\left(a^{4} \sin\left(d x + c\right)^{3} - 4 \, a^{3} b \sin\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \sin\left(d x + c\right)^{3} - 4 \, a b^{3} \sin\left(d x + c\right)^{3} + b^{4} \sin\left(d x + c\right)^{3} - 3 \, a^{4} \sin\left(d x + c\right) + 18 \, a^{3} b \sin\left(d x + c\right) - 36 \, a^{2} b^{2} \sin\left(d x + c\right) + 30 \, a b^{3} \sin\left(d x + c\right) - 9 \, b^{4} \sin\left(d x + c\right)\right)}}{a^{6} - 6 \, a^{5} b + 15 \, a^{4} b^{2} - 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} - 6 \, a b^{5} + b^{6}}}{6 \, d}"," ",0,"1/6*(3*b^3*sin(d*x + c)/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*(a*sin(d*x + c)^2 - b*sin(d*x + c)^2 - a)) + 3*(6*a*b^2 - b^3)*arctan(-(a*sin(d*x + c) - b*sin(d*x + c))/sqrt(-a^2 + a*b))/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*sqrt(-a^2 + a*b)) - 2*(a^4*sin(d*x + c)^3 - 4*a^3*b*sin(d*x + c)^3 + 6*a^2*b^2*sin(d*x + c)^3 - 4*a*b^3*sin(d*x + c)^3 + b^4*sin(d*x + c)^3 - 3*a^4*sin(d*x + c) + 18*a^3*b*sin(d*x + c) - 36*a^2*b^2*sin(d*x + c) + 30*a*b^3*sin(d*x + c) - 9*b^4*sin(d*x + c))/(a^6 - 6*a^5*b + 15*a^4*b^2 - 20*a^3*b^3 + 15*a^2*b^4 - 6*a*b^5 + b^6))/d","B",0
468,1,180,0,2.287741," ","integrate(sec(d*x+c)^8/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(5 \, a^{3} - 9 \, a^{2} b + 3 \, a b^{2} + b^{3}\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}}\right)\right)}}{\sqrt{a b} a b^{3}} - \frac{3 \, {\left(a^{3} \tan\left(d x + c\right) - 3 \, a^{2} b \tan\left(d x + c\right) + 3 \, a b^{2} \tan\left(d x + c\right) - b^{3} \tan\left(d x + c\right)\right)}}{{\left(b \tan\left(d x + c\right)^{2} + a\right)} a b^{3}} + \frac{2 \, {\left(b^{4} \tan\left(d x + c\right)^{3} - 6 \, a b^{3} \tan\left(d x + c\right) + 9 \, b^{4} \tan\left(d x + c\right)\right)}}{b^{6}}}{6 \, d}"," ",0,"1/6*(3*(5*a^3 - 9*a^2*b + 3*a*b^2 + b^3)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/(sqrt(a*b)*a*b^3) - 3*(a^3*tan(d*x + c) - 3*a^2*b*tan(d*x + c) + 3*a*b^2*tan(d*x + c) - b^3*tan(d*x + c))/((b*tan(d*x + c)^2 + a)*a*b^3) + 2*(b^4*tan(d*x + c)^3 - 6*a*b^3*tan(d*x + c) + 9*b^4*tan(d*x + c))/b^6)/d","A",0
469,1,128,0,2.444724," ","integrate(sec(d*x+c)^6/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{2 \, \tan\left(d x + c\right)}{b^{2}} - \frac{{\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}}\right)\right)} {\left(3 \, a^{2} - 2 \, a b - b^{2}\right)}}{\sqrt{a b} a b^{2}} + \frac{a^{2} \tan\left(d x + c\right) - 2 \, a b \tan\left(d x + c\right) + b^{2} \tan\left(d x + c\right)}{{\left(b \tan\left(d x + c\right)^{2} + a\right)} a b^{2}}}{2 \, d}"," ",0,"1/2*(2*tan(d*x + c)/b^2 - (pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*(3*a^2 - 2*a*b - b^2)/(sqrt(a*b)*a*b^2) + (a^2*tan(d*x + c) - 2*a*b*tan(d*x + c) + b^2*tan(d*x + c))/((b*tan(d*x + c)^2 + a)*a*b^2))/d","A",0
470,1,92,0,2.092811," ","integrate(sec(d*x+c)^4/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\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}}\right)\right)} {\left(a + b\right)}}{\sqrt{a b} a b} - \frac{a \tan\left(d x + c\right) - b \tan\left(d x + c\right)}{{\left(b \tan\left(d x + c\right)^{2} + a\right)} a b}}{2 \, d}"," ",0,"1/2*((pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))*(a + b)/(sqrt(a*b)*a*b) - (a*tan(d*x + c) - b*tan(d*x + c))/((b*tan(d*x + c)^2 + a)*a*b))/d","A",0
471,1,70,0,1.997205," ","integrate(sec(d*x+c)^2/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{\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}}\right)}{\sqrt{a b} a} + \frac{\tan\left(d x + c\right)}{{\left(b \tan\left(d x + c\right)^{2} + a\right)} a}}{2 \, d}"," ",0,"1/2*((pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/(sqrt(a*b)*a) + tan(d*x + c)/((b*tan(d*x + c)^2 + a)*a))/d","A",0
472,1,211,0,2.180851," ","integrate(cos(d*x+c)^2/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{\frac{{\left(d x + c\right)} {\left(a - 5 \, b\right)}}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{{\left(5 \, a b^{2} - b^{3}\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}}\right)\right)}}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} \sqrt{a b}} + \frac{a b \tan\left(d x + c\right)^{3} + b^{2} \tan\left(d x + c\right)^{3} + a^{2} \tan\left(d x + c\right) + b^{2} \tan\left(d x + c\right)}{{\left(b \tan\left(d x + c\right)^{4} + a \tan\left(d x + c\right)^{2} + b \tan\left(d x + c\right)^{2} + a\right)} {\left(a^{3} - 2 \, a^{2} b + a b^{2}\right)}}}{2 \, d}"," ",0,"1/2*((d*x + c)*(a - 5*b)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + (5*a*b^2 - b^3)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*sqrt(a*b)) + (a*b*tan(d*x + c)^3 + b^2*tan(d*x + c)^3 + a^2*tan(d*x + c) + b^2*tan(d*x + c))/((b*tan(d*x + c)^4 + a*tan(d*x + c)^2 + b*tan(d*x + c)^2 + a)*(a^3 - 2*a^2*b + a*b^2)))/d","A",0
473,1,269,0,2.413557," ","integrate(cos(d*x+c)^4/(a+b*tan(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{4 \, b^{3} \tan\left(d x + c\right)}{{\left(a^{4} - 3 \, a^{3} b + 3 \, a^{2} b^{2} - a b^{3}\right)} {\left(b \tan\left(d x + c\right)^{2} + a\right)}} - \frac{{\left(3 \, a^{2} - 14 \, a b + 35 \, b^{2}\right)} {\left(d x + c\right)}}{a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}} + \frac{4 \, {\left(7 \, a b^{3} - 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}}\right)\right)}}{{\left(a^{5} - 4 \, a^{4} b + 6 \, a^{3} b^{2} - 4 \, a^{2} b^{3} + a b^{4}\right)} \sqrt{a b}} - \frac{3 \, a \tan\left(d x + c\right)^{3} - 11 \, b \tan\left(d x + c\right)^{3} + 5 \, a \tan\left(d x + c\right) - 13 \, b \tan\left(d x + c\right)}{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(\tan\left(d x + c\right)^{2} + 1\right)}^{2}}}{8 \, d}"," ",0,"-1/8*(4*b^3*tan(d*x + c)/((a^4 - 3*a^3*b + 3*a^2*b^2 - a*b^3)*(b*tan(d*x + c)^2 + a)) - (3*a^2 - 14*a*b + 35*b^2)*(d*x + c)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) + 4*(7*a*b^3 - b^4)*(pi*floor((d*x + c)/pi + 1/2)*sgn(b) + arctan(b*tan(d*x + c)/sqrt(a*b)))/((a^5 - 4*a^4*b + 6*a^3*b^2 - 4*a^2*b^3 + a*b^4)*sqrt(a*b)) - (3*a*tan(d*x + c)^3 - 11*b*tan(d*x + c)^3 + 5*a*tan(d*x + c) - 13*b*tan(d*x + c))/((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(tan(d*x + c)^2 + 1)^2))/d","A",0
474,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*sec(f*x + e))^m, x)","F",0
475,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*sec(f*x + e))^m, x)","F",0
476,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*sec(f*x + e))^m, x)","F",0
477,-2,0,0,0.000000," ","integrate(sec(f*x+e)^6*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 6.28Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,2,2,0]%%%}+%%%{1,[0,1,0,4,0]%%%} / %%%{1,[0,0,5,0,1]%%%} Error: Bad Argument Value","F(-2)",0
478,-2,0,0,0.000000," ","integrate(sec(f*x+e)^4*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 4.66Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{1,[0,1,0,2,0]%%%} / %%%{1,[0,0,3,0,1]%%%} Error: Bad Argument Value","F(-2)",0
479,-2,0,0,0.000000," ","integrate(sec(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.05Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argument Value","F(-2)",0
480,0,0,0,0.000000," ","integrate((b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p, x)","F",0
481,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cos(f*x + e)^2, x)","F",0
482,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*sec(f*x + e)^3, x)","F",0
483,0,0,0,0.000000," ","integrate(sec(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*sec(f*x + e), x)","F",0
484,0,0,0,0.000000," ","integrate(cos(f*x+e)*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cos(f*x + e), x)","F",0
485,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*cos(f*x + e)^3, x)","F",0
486,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \left(d \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*(d*sec(f*x + e))^m, x)","F",0
487,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*sec(f*x + e)^3, x)","F",0
488,0,0,0,0.000000," ","integrate(sec(f*x+e)*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*sec(f*x + e), x)","F",0
489,-1,0,0,0.000000," ","integrate(cos(f*x+e)*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,-1,0,0,0.000000," ","integrate(cos(f*x+e)^3*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-2,0,0,0.000000," ","integrate(sec(f*x+e)^6*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 6.51Unable to divide, perhaps due to rounding error%%%{1,[0,1,4,0,0]%%%}+%%%{2,[0,1,2,2,0]%%%}+%%%{1,[0,1,0,4,0]%%%} / %%%{1,[0,0,5,0,1]%%%} Error: Bad Argument Value","F(-2)",0
492,-2,0,0,0.000000," ","integrate(sec(f*x+e)^4*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 4.9Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0]%%%}+%%%{1,[0,1,0,2,0]%%%} / %%%{1,[0,0,3,0,1]%%%} Error: Bad Argument Value","F(-2)",0
493,-2,0,0,0.000000," ","integrate(sec(f*x+e)^2*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 3.32Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0]%%%} / %%%{1,[0,0,1,1]%%%} Error: Bad Argument Value","F(-2)",0
494,0,0,0,0.000000," ","integrate((a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p, x)","F",0
495,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*cos(f*x + e)^2, x)","F",0
496,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^m*(b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int \left(b \tan\left(f x + e\right)^{2}\right)^{p} \left(d \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2)^p*(d*csc(f*x + e))^m, x)","F",0
497,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^m*(a+b*tan(f*x+e)^2)^p,x, algorithm=""giac"")","\int {\left(b \tan\left(f x + e\right)^{2} + a\right)}^{p} \left(d \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e)^2 + a)^p*(d*csc(f*x + e))^m, x)","F",0
498,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^m*(b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int \left(\left(c \tan\left(f x + e\right)\right)^{n} b\right)^{p} \left(d \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b)^p*(d*csc(f*x + e))^m, x)","F",0
499,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^m*(a+b*(c*tan(f*x+e))^n)^p,x, algorithm=""giac"")","\int {\left(\left(c \tan\left(f x + e\right)\right)^{n} b + a\right)}^{p} \left(d \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(((c*tan(f*x + e))^n*b + a)^p*(d*csc(f*x + e))^m, x)","F",0
