1,1,20,28,0.006000," ","int((-5+3*x)^2/(2*x-1)^(7/2),x)","-\frac{45 x^{2}-80 x +41}{5 \left(2 x -1\right)^{\frac{5}{2}}}"," ",0,"-1/5*(45*x^2-80*x+41)/(2*x-1)^(5/2)","A"
2,1,19,18,0.005000," ","int(1/(-5/exp(m*x)+2*exp(m*x)),x)","-\frac{\sqrt{10}\, \arctanh \left(\frac{\sqrt{10}\, {\mathrm e}^{m x}}{5}\right)}{10 m}"," ",0,"-1/10*arctanh(1/5*exp(m*x)*10^(1/2))/m*10^(1/2)","A"
3,1,36,32,0.021000," ","int(1/(a+b*cos(x)),x)","\frac{2 \arctan \left(\frac{\left(a -b \right) \tan \left(\frac{x}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"2/((a+b)*(a-b))^(1/2)*arctan((a-b)*tan(1/2*x)/((a+b)*(a-b))^(1/2))","A"
4,1,12,11,0.052000," ","int(1/(3+3*cos(x)+4*sin(x)),x)","\frac{\ln \left(4 \tan \left(\frac{x}{2}\right)+3\right)}{4}"," ",0,"1/4*ln(3+4*tan(1/2*x))","A"
5,1,20,15,0.057000," ","int(1/(4+3*cos(x)+4*sin(x)),x)","\frac{\ln \left(\tan \left(\frac{x}{2}\right)+1\right)}{3}-\frac{\ln \left(\tan \left(\frac{x}{2}\right)+7\right)}{3}"," ",0,"1/3*ln(tan(1/2*x)+1)-1/3*ln(tan(1/2*x)+7)","A"
6,1,11,10,0.055000," ","int(1/(5+3*cos(x)+4*sin(x)),x)","-\frac{1}{\tan \left(\frac{x}{2}\right)+2}"," ",0,"-1/(2+tan(1/2*x))","A"
7,1,20,38,0.053000," ","int(1/(6+3*cos(x)+4*sin(x)),x)","\frac{2 \sqrt{11}\, \arctan \left(\frac{\left(6 \tan \left(\frac{x}{2}\right)+8\right) \sqrt{11}}{22}\right)}{11}"," ",0,"2/11*11^(1/2)*arctan(1/22*(6*tan(1/2*x)+8)*11^(1/2))","A"
8,1,35,28,0.021000," ","int(1/2*ln((-a^2+x^2)^2),x)","-a \ln \left(-a +x \right)+a \ln \left(a +x \right)+\frac{x \ln \left(\left(-a^{2}+x^{2}\right)^{2}\right)}{2}-2 x"," ",0,"1/2*x*ln((-a^2+x^2)^2)-2*x-a*ln(-a+x)+a*ln(a+x)","A"