1,1,23,0,0.885187," ","integrate((-5+3*x)^2/(-1+2*x)^(7/2),x, algorithm=""giac"")","-\frac{45 \, {\left(2 \, x - 1\right)}^{2} - 140 \, x + 119}{20 \, {\left(2 \, x - 1\right)}^{\frac{5}{2}}}"," ",0,"-1/20*(45*(2*x - 1)^2 - 140*x + 119)/(2*x - 1)^(5/2)","A",0
2,1,38,0,1.068133," ","integrate(1/(-5/exp(m*x)+2*exp(m*x)),x, algorithm=""giac"")","-\frac{\sqrt{10} \log\left(\frac{1}{2} \, \sqrt{10} + e^{\left(m x\right)}\right) - \sqrt{10} \log\left({\left| -\frac{1}{2} \, \sqrt{10} + e^{\left(m x\right)} \right|}\right)}{20 \, m}"," ",0,"-1/20*(sqrt(10)*log(1/2*sqrt(10) + e^(m*x)) - sqrt(10)*log(abs(-1/2*sqrt(10) + e^(m*x))))/m","B",0
3,1,61,0,0.826284," ","integrate(1/(a+b*cos(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(\pi \left \lfloor \frac{x}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(-2 \, a + 2 \, b\right) + \arctan\left(-\frac{a \tan\left(\frac{1}{2} \, x\right) - b \tan\left(\frac{1}{2} \, x\right)}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{\sqrt{a^{2} - b^{2}}}"," ",0,"-2*(pi*floor(1/2*x/pi + 1/2)*sgn(-2*a + 2*b) + arctan(-(a*tan(1/2*x) - b*tan(1/2*x))/sqrt(a^2 - b^2)))/sqrt(a^2 - b^2)","A",0
4,1,12,0,1.130282," ","integrate(1/(3+3*cos(x)+4*sin(x)),x, algorithm=""giac"")","\frac{1}{4} \, \log\left({\left| 4 \, \tan\left(\frac{1}{2} \, x\right) + 3 \right|}\right)"," ",0,"1/4*log(abs(4*tan(1/2*x) + 3))","A",0
5,1,21,0,1.087684," ","integrate(1/(4+3*cos(x)+4*sin(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 7 \right|}\right) + \frac{1}{3} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 1 \right|}\right)"," ",0,"-1/3*log(abs(tan(1/2*x) + 7)) + 1/3*log(abs(tan(1/2*x) + 1))","A",0
6,1,10,0,0.953040," ","integrate(1/(5+3*cos(x)+4*sin(x)),x, algorithm=""giac"")","-\frac{1}{\tan\left(\frac{1}{2} \, x\right) + 2}"," ",0,"-1/(tan(1/2*x) + 2)","A",0
7,1,49,0,0.936216," ","integrate(1/(6+3*cos(x)+4*sin(x)),x, algorithm=""giac"")","\frac{1}{11} \, \sqrt{11} {\left(x + 2 \, \arctan\left(-\frac{\sqrt{11} \sin\left(x\right) - 4 \, \cos\left(x\right) - 3 \, \sin\left(x\right) - 4}{\sqrt{11} \cos\left(x\right) + \sqrt{11} - 3 \, \cos\left(x\right) + 4 \, \sin\left(x\right) + 3}\right)\right)}"," ",0,"1/11*sqrt(11)*(x + 2*arctan(-(sqrt(11)*sin(x) - 4*cos(x) - 3*sin(x) - 4)/(sqrt(11)*cos(x) + sqrt(11) - 3*cos(x) + 4*sin(x) + 3)))","A",0
8,1,36,0,0.855817," ","integrate(1/2*log((-a^2+x^2)^2),x, algorithm=""giac"")","\frac{1}{2} \, x \log\left({\left(a^{2} - x^{2}\right)}^{2}\right) + a \log\left({\left| a + x \right|}\right) - a \log\left({\left| -a + x \right|}\right) - 2 \, x"," ",0,"1/2*x*log((a^2 - x^2)^2) + a*log(abs(a + x)) - a*log(abs(-a + x)) - 2*x","A",0
