1,1,36,0,1.551019," ","integrate((-5+3*x)^2/(-1+2*x)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(45 \, x^{2} - 80 \, x + 41\right)} \sqrt{2 \, x - 1}}{5 \, {\left(8 \, x^{3} - 12 \, x^{2} + 6 \, x - 1\right)}}"," ",0,"-1/5*(45*x^2 - 80*x + 41)*sqrt(2*x - 1)/(8*x^3 - 12*x^2 + 6*x - 1)","A",0
2,1,40,0,1.239412," ","integrate(1/(-5/exp(m*x)+2*exp(m*x)),x, algorithm=""fricas"")","\frac{\sqrt{10} \log\left(-\frac{2 \, \sqrt{10} e^{\left(m x\right)} - 2 \, e^{\left(2 \, m x\right)} - 5}{2 \, e^{\left(2 \, m x\right)} - 5}\right)}{20 \, m}"," ",0,"1/20*sqrt(10)*log(-(2*sqrt(10)*e^(m*x) - 2*e^(2*m*x) - 5)/(2*e^(2*m*x) - 5))/m","B",0
3,1,137,0,1.744828," ","integrate(1/(a+b*cos(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2}} \log\left(\frac{2 \, a b \cos\left(x\right) + {\left(2 \, a^{2} - b^{2}\right)} \cos\left(x\right)^{2} + 2 \, \sqrt{-a^{2} + b^{2}} {\left(a \cos\left(x\right) + b\right)} \sin\left(x\right) - a^{2} + 2 \, b^{2}}{b^{2} \cos\left(x\right)^{2} + 2 \, a b \cos\left(x\right) + a^{2}}\right)}{2 \, {\left(a^{2} - b^{2}\right)}}, \frac{\arctan\left(-\frac{a \cos\left(x\right) + b}{\sqrt{a^{2} - b^{2}} \sin\left(x\right)}\right)}{\sqrt{a^{2} - b^{2}}}\right]"," ",0,"[-1/2*sqrt(-a^2 + b^2)*log((2*a*b*cos(x) + (2*a^2 - b^2)*cos(x)^2 + 2*sqrt(-a^2 + b^2)*(a*cos(x) + b)*sin(x) - a^2 + 2*b^2)/(b^2*cos(x)^2 + 2*a*b*cos(x) + a^2))/(a^2 - b^2), arctan(-(a*cos(x) + b)/(sqrt(a^2 - b^2)*sin(x)))/sqrt(a^2 - b^2)]","A",0
4,1,23,0,1.549115," ","integrate(1/(3+3*cos(x)+4*sin(x)),x, algorithm=""fricas"")","-\frac{1}{8} \, \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{8} \, \log\left(-\frac{7}{2} \, \cos\left(x\right) + 12 \, \sin\left(x\right) + \frac{25}{2}\right)"," ",0,"-1/8*log(1/2*cos(x) + 1/2) + 1/8*log(-7/2*cos(x) + 12*sin(x) + 25/2)","B",0
5,1,21,0,1.258635," ","integrate(1/(4+3*cos(x)+4*sin(x)),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(24 \, \cos\left(x\right) + 7 \, \sin\left(x\right) + 25\right) + \frac{1}{6} \, \log\left(\sin\left(x\right) + 1\right)"," ",0,"-1/6*log(24*cos(x) + 7*sin(x) + 25) + 1/6*log(sin(x) + 1)","A",0
6,1,20,0,1.144733," ","integrate(1/(5+3*cos(x)+4*sin(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) - 2 \, \sin\left(x\right) + 1}{5 \, {\left(2 \, \cos\left(x\right) + \sin\left(x\right) + 2\right)}}"," ",0,"-1/5*(cos(x) - 2*sin(x) + 1)/(2*cos(x) + sin(x) + 2)","A",0
7,1,39,0,1.254590," ","integrate(1/(6+3*cos(x)+4*sin(x)),x, algorithm=""fricas"")","-\frac{1}{11} \, \sqrt{11} \arctan\left(-\frac{18 \, \sqrt{11} \cos\left(x\right) + 24 \, \sqrt{11} \sin\left(x\right) + 25 \, \sqrt{11}}{11 \, {\left(4 \, \cos\left(x\right) - 3 \, \sin\left(x\right)\right)}}\right)"," ",0,"-1/11*sqrt(11)*arctan(-1/11*(18*sqrt(11)*cos(x) + 24*sqrt(11)*sin(x) + 25*sqrt(11))/(4*cos(x) - 3*sin(x)))","A",0
8,1,38,0,1.483707," ","integrate(1/2*log((-a^2+x^2)^2),x, algorithm=""fricas"")","\frac{1}{2} \, x \log\left(a^{4} - 2 \, a^{2} x^{2} + x^{4}\right) + a \log\left(a + x\right) - a \log\left(-a + x\right) - 2 \, x"," ",0,"1/2*x*log(a^4 - 2*a^2*x^2 + x^4) + a*log(a + x) - a*log(-a + x) - 2*x","A",0
