1,1,12,0,1.037408," ","integrate(x^2+x+1,x, algorithm=""fricas"")","\frac{1}{3} x^{3} + \frac{1}{2} x^{2} + x"," ",0,"1/3*x^3 + 1/2*x^2 + x","A",0
2,1,16,0,1.070336," ","integrate(x^2*(2*x^2+x)^2,x, algorithm=""fricas"")","\frac{4}{7} x^{7} + \frac{2}{3} x^{6} + \frac{1}{5} x^{5}"," ",0,"4/7*x^7 + 2/3*x^6 + 1/5*x^5","A",0
3,1,16,0,0.932057," ","integrate(x*(x^2+2*x+1),x, algorithm=""fricas"")","\frac{1}{4} x^{4} + \frac{2}{3} x^{3} + \frac{1}{2} x^{2}"," ",0,"1/4*x^4 + 2/3*x^3 + 1/2*x^2","A",0
4,1,2,0,0.846687," ","integrate(1/x,x, algorithm=""fricas"")","\log\left(x\right)"," ",0,"log(x)","A",0
5,1,46,0,1.192682," ","integrate((1+x)^3/(-1+x)^4,x, algorithm=""fricas"")","-\frac{18 \, x^{2} - 3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)} \log\left(x - 1\right) - 18 \, x + 8}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}}"," ",0,"-1/3*(18*x^2 - 3*(x^3 - 3*x^2 + 3*x - 1)*log(x - 1) - 18*x + 8)/(x^3 - 3*x^2 + 3*x - 1)","A",0
6,1,33,0,1.134853," ","integrate(1/(-1+x)/x/(1+x)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(x + 1\right)} \log\left(x + 1\right) + {\left(x + 1\right)} \log\left(x - 1\right) - 4 \, {\left(x + 1\right)} \log\left(x\right) - 2}{4 \, {\left(x + 1\right)}}"," ",0,"1/4*(3*(x + 1)*log(x + 1) + (x + 1)*log(x - 1) - 4*(x + 1)*log(x) - 2)/(x + 1)","A",0
7,1,34,0,1.302492," ","integrate((a*x+b)/(-p+x)/(-q+x),x, algorithm=""fricas"")","\frac{{\left(a p + b\right)} \log\left(-p + x\right) - {\left(a q + b\right)} \log\left(-q + x\right)}{p - q}"," ",0,"((a*p + b)*log(-p + x) - (a*q + b)*log(-q + x))/(p - q)","A",0
8,1,120,0,0.831242," ","integrate(1/(a*x^2+b*x+c),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, a^{2} x^{2} + 2 \, a b x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, a x + b\right)}}{a x^{2} + b x + c}\right)}{\sqrt{b^{2} - 4 \, a c}}, -\frac{2 \, \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, a x + b\right)}}{b^{2} - 4 \, a c}\right)}{b^{2} - 4 \, a c}\right]"," ",0,"[log((2*a^2*x^2 + 2*a*b*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*a*x + b))/(a*x^2 + b*x + c))/sqrt(b^2 - 4*a*c), -2*sqrt(-b^2 + 4*a*c)*arctan(-sqrt(-b^2 + 4*a*c)*(2*a*x + b)/(b^2 - 4*a*c))/(b^2 - 4*a*c)]","A",0
9,1,14,0,1.113926," ","integrate((a*x+b)/(x^2+1),x, algorithm=""fricas"")","b \arctan\left(x\right) + \frac{1}{2} \, a \log\left(x^{2} + 1\right)"," ",0,"b*arctan(x) + 1/2*a*log(x^2 + 1)","A",0
10,1,14,0,0.898611," ","integrate(1/(x^2-2*x+3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x - 1\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(x - 1))","A",0
11,1,71,0,1.076052," ","integrate(1/(-1+x)^2/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{x^{2} - {\left(x^{3} - x^{2} + x - 1\right)} \arctan\left(x\right) - {\left(x^{3} - x^{2} + x - 1\right)} \log\left(x^{2} + 1\right) + 2 \, {\left(x^{3} - x^{2} + x - 1\right)} \log\left(x - 1\right) + x}{4 \, {\left(x^{3} - x^{2} + x - 1\right)}}"," ",0,"-1/4*(x^2 - (x^3 - x^2 + x - 1)*arctan(x) - (x^3 - x^2 + x - 1)*log(x^2 + 1) + 2*(x^3 - x^2 + x - 1)*log(x - 1) + x)/(x^3 - x^2 + x - 1)","A",0
12,1,81,0,1.200159," ","integrate(x/(-a+x)/(-b+x)/(-c+x),x, algorithm=""fricas"")","\frac{{\left(a - b\right)} c \log\left(-c + x\right) + {\left(a b - a c\right)} \log\left(-a + x\right) - {\left(a b - b c\right)} \log\left(-b + x\right)}{a^{2} b - a b^{2} + {\left(a - b\right)} c^{2} - {\left(a^{2} - b^{2}\right)} c}"," ",0,"((a - b)*c*log(-c + x) + (a*b - a*c)*log(-a + x) - (a*b - b*c)*log(-b + x))/(a^2*b - a*b^2 + (a - b)*c^2 - (a^2 - b^2)*c)","A",0
13,1,32,0,0.905537," ","integrate(x/(a^2+x^2)/(b^2+x^2),x, algorithm=""fricas"")","-\frac{\log\left(a^{2} + x^{2}\right) - \log\left(b^{2} + x^{2}\right)}{2 \, {\left(a^{2} - b^{2}\right)}}"," ",0,"-1/2*(log(a^2 + x^2) - log(b^2 + x^2))/(a^2 - b^2)","A",0
14,1,30,0,1.588161," ","integrate(x^2/(a^2+x^2)/(b^2+x^2),x, algorithm=""fricas"")","\frac{a \arctan\left(\frac{x}{a}\right) - b \arctan\left(\frac{x}{b}\right)}{a^{2} - b^{2}}"," ",0,"(a*arctan(x/a) - b*arctan(x/b))/(a^2 - b^2)","A",0
15,1,19,0,1.140954," ","integrate(x/(-1+x)/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x - 1)","A",0
16,1,34,0,1.282818," ","integrate(x/(x^3+1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1)","A",0
17,1,40,0,1.001880," ","integrate(x^3/(-1+x)^2/(x^3+1),x, algorithm=""fricas"")","-\frac{4 \, {\left(x - 1\right)} \log\left(x^{2} - x + 1\right) + {\left(x - 1\right)} \log\left(x + 1\right) - 9 \, {\left(x - 1\right)} \log\left(x - 1\right) + 6}{12 \, {\left(x - 1\right)}}"," ",0,"-1/12*(4*(x - 1)*log(x^2 - x + 1) + (x - 1)*log(x + 1) - 9*(x - 1)*log(x - 1) + 6)/(x - 1)","A",0
18,1,95,0,0.738390," ","integrate(1/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + \sqrt{2} x + 1} - 1\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - \sqrt{2} x + 1} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 + sqrt(2)*x + 1) - 1) - 1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 - sqrt(2)*x + 1) + 1) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
19,1,95,0,1.073107," ","integrate(x^2/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + \sqrt{2} x + 1} - 1\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - \sqrt{2} x + 1} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 + sqrt(2)*x + 1) - 1) - 1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 - sqrt(2)*x + 1) + 1) - 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
20,1,53,0,1.328750," ","integrate(1/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*log(x^2 + x + 1) - 1/4*log(x^2 - x + 1)","A",0
21,1,20,0,1.487671," ","integrate((b*x+a)^p,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{p}}{b p + b}"," ",0,"(b*x + a)*(b*x + a)^p/(b*p + b)","A",0
22,1,53,0,0.999497," ","integrate(x*(b*x+a)^p,x, algorithm=""fricas"")","\frac{{\left(a b p x + {\left(b^{2} p + b^{2}\right)} x^{2} - a^{2}\right)} {\left(b x + a\right)}^{p}}{b^{2} p^{2} + 3 \, b^{2} p + 2 \, b^{2}}"," ",0,"(a*b*p*x + (b^2*p + b^2)*x^2 - a^2)*(b*x + a)^p/(b^2*p^2 + 3*b^2*p + 2*b^2)","A",0
23,1,96,0,0.853052," ","integrate(x^2*(b*x+a)^p,x, algorithm=""fricas"")","-\frac{{\left(2 \, a^{2} b p x - {\left(b^{3} p^{2} + 3 \, b^{3} p + 2 \, b^{3}\right)} x^{3} - 2 \, a^{3} - {\left(a b^{2} p^{2} + a b^{2} p\right)} x^{2}\right)} {\left(b x + a\right)}^{p}}{b^{3} p^{3} + 6 \, b^{3} p^{2} + 11 \, b^{3} p + 6 \, b^{3}}"," ",0,"-(2*a^2*b*p*x - (b^3*p^2 + 3*b^3*p + 2*b^3)*x^3 - 2*a^3 - (a*b^2*p^2 + a*b^2*p)*x^2)*(b*x + a)^p/(b^3*p^3 + 6*b^3*p^2 + 11*b^3*p + 6*b^3)","A",0
24,1,10,0,1.064879," ","integrate(1/(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
25,1,13,0,0.907824," ","integrate(1/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{1}{b^{2} x + a b}"," ",0,"-1/(b^2*x + a*b)","A",0
26,1,17,0,1.227631," ","integrate(x/(b*x+a),x, algorithm=""fricas"")","\frac{b x - a \log\left(b x + a\right)}{b^{2}}"," ",0,"(b*x - a*log(b*x + a))/b^2","A",0
27,1,29,0,0.985336," ","integrate(x^2/(b*x+a),x, algorithm=""fricas"")","\frac{b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)}{2 \, b^{3}}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))/b^3","A",0
28,1,16,0,1.080929," ","integrate(1/x/(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(b x + a\right) - \log\left(x\right)}{a}"," ",0,"-(log(b*x + a) - log(x))/a","A",0
29,1,26,0,1.161569," ","integrate(1/x^2/(b*x+a),x, algorithm=""fricas"")","\frac{b x \log\left(b x + a\right) - b x \log\left(x\right) - a}{a^{2} x}"," ",0,"(b*x*log(b*x + a) - b*x*log(x) - a)/(a^2*x)","A",0
30,1,63,0,1.114955," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(b x + a\right) + 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(x\right)}{a^{3} b x^{2} + a^{4} x}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log(b*x + a) + 2*(b^2*x^2 + a*b*x)*log(x))/(a^3*b*x^2 + a^4*x)","A",0
31,1,10,0,1.209738," ","integrate(1/(c^2+x^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x}{c}\right)}{c}"," ",0,"arctan(x/c)/c","A",0
32,1,18,0,0.855910," ","integrate(1/(c^2-x^2),x, algorithm=""fricas"")","\frac{\log\left(c + x\right) - \log\left(-c + x\right)}{2 \, c}"," ",0,"1/2*(log(c + x) - log(-c + x))/c","A",0
33,1,63,0,1.181284," ","integrate(1/(2*x^3-1),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{1}{6} \, \sqrt{6} 2^{\frac{1}{6}} {\left(2 \cdot 2^{\frac{2}{3}} x + 2^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2 \, x^{2} + 2^{\frac{2}{3}} x + 2^{\frac{1}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(2 \, x - 2^{\frac{2}{3}}\right)"," ",0,"-1/6*sqrt(6)*2^(1/6)*arctan(1/6*sqrt(6)*2^(1/6)*(2*2^(2/3)*x + 2^(1/3))) - 1/12*2^(2/3)*log(2*x^2 + 2^(2/3)*x + 2^(1/3)) + 1/6*2^(2/3)*log(2*x - 2^(2/3))","A",0
34,1,68,0,1.403348," ","integrate(1/(x^3-2),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{1}{6} \cdot 4^{\frac{1}{6}} {\left(4^{\frac{2}{3}} \sqrt{3} x + 4^{\frac{1}{3}} \sqrt{3}\right)}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(2 \, x^{2} + 4^{\frac{2}{3}} x + 2 \cdot 4^{\frac{1}{3}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(2 \, x - 4^{\frac{2}{3}}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*(4^(2/3)*sqrt(3)*x + 4^(1/3)*sqrt(3))) - 1/24*4^(2/3)*log(2*x^2 + 4^(2/3)*x + 2*4^(1/3)) + 1/12*4^(2/3)*log(2*x - 4^(2/3))","A",0
35,1,300,0,1.207963," ","integrate(1/(a*x^3-b),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, a b x^{3} - 3 \, \left(a b^{2}\right)^{\frac{1}{3}} b x + b^{2} - 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b x^{2} - \left(a b^{2}\right)^{\frac{2}{3}} x - \left(a b^{2}\right)^{\frac{1}{3}} b\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{a x^{3} - b}\right) - \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b x^{2} + \left(a b^{2}\right)^{\frac{2}{3}} x + \left(a b^{2}\right)^{\frac{1}{3}} b\right) + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b x - \left(a b^{2}\right)^{\frac{2}{3}}\right)}{6 \, a b^{2}}, -\frac{6 \, \sqrt{\frac{1}{3}} a b \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a b^{2}\right)^{\frac{2}{3}} x + \left(a b^{2}\right)^{\frac{1}{3}} b\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b^{2}}\right) + \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b x^{2} + \left(a b^{2}\right)^{\frac{2}{3}} x + \left(a b^{2}\right)^{\frac{1}{3}} b\right) - 2 \, \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b x - \left(a b^{2}\right)^{\frac{2}{3}}\right)}{6 \, a b^{2}}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*sqrt(-(a*b^2)^(1/3)/a)*log((2*a*b*x^3 - 3*(a*b^2)^(1/3)*b*x + b^2 - 3*sqrt(1/3)*(2*a*b*x^2 - (a*b^2)^(2/3)*x - (a*b^2)^(1/3)*b)*sqrt(-(a*b^2)^(1/3)/a))/(a*x^3 - b)) - (a*b^2)^(2/3)*log(a*b*x^2 + (a*b^2)^(2/3)*x + (a*b^2)^(1/3)*b) + 2*(a*b^2)^(2/3)*log(a*b*x - (a*b^2)^(2/3)))/(a*b^2), -1/6*(6*sqrt(1/3)*a*b*sqrt((a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*(a*b^2)^(2/3)*x + (a*b^2)^(1/3)*b)*sqrt((a*b^2)^(1/3)/a)/b^2) + (a*b^2)^(2/3)*log(a*b*x^2 + (a*b^2)^(2/3)*x + (a*b^2)^(1/3)*b) - 2*(a*b^2)^(2/3)*log(a*b*x - (a*b^2)^(2/3)))/(a*b^2)]","A",0
36,1,63,0,0.937116," ","integrate(1/(x^4-2),x, algorithm=""fricas"")","\frac{1}{8} \cdot 8^{\frac{3}{4}} \arctan\left(\frac{1}{4} \cdot 8^{\frac{1}{4}} \sqrt{2} \sqrt{2 \, x^{2} + 2 \, \sqrt{2}} - \frac{1}{2} \cdot 8^{\frac{1}{4}} x\right) - \frac{1}{32} \cdot 8^{\frac{3}{4}} \log\left(4 \, x + 8^{\frac{3}{4}}\right) + \frac{1}{32} \cdot 8^{\frac{3}{4}} \log\left(4 \, x - 8^{\frac{3}{4}}\right)"," ",0,"1/8*8^(3/4)*arctan(1/4*8^(1/4)*sqrt(2)*sqrt(2*x^2 + 2*sqrt(2)) - 1/2*8^(1/4)*x) - 1/32*8^(3/4)*log(4*x + 8^(3/4)) + 1/32*8^(3/4)*log(4*x - 8^(3/4))","B",0
37,1,58,0,1.201195," ","integrate(1/(5*x^4-1),x, algorithm=""fricas"")","\frac{1}{5} \cdot 5^{\frac{3}{4}} \arctan\left(\frac{1}{5} \cdot 5^{\frac{3}{4}} \sqrt{5 \, x^{2} + \sqrt{5}} - 5^{\frac{1}{4}} x\right) - \frac{1}{20} \cdot 5^{\frac{3}{4}} \log\left(5 \, x + 5^{\frac{3}{4}}\right) + \frac{1}{20} \cdot 5^{\frac{3}{4}} \log\left(5 \, x - 5^{\frac{3}{4}}\right)"," ",0,"1/5*5^(3/4)*arctan(1/5*5^(3/4)*sqrt(5*x^2 + sqrt(5)) - 5^(1/4)*x) - 1/20*5^(3/4)*log(5*x + 5^(3/4)) + 1/20*5^(3/4)*log(5*x - 5^(3/4))","B",0
38,1,163,0,1.038972," ","integrate(1/(3*x^4+7),x, algorithm=""fricas"")","-\frac{1}{2058} \cdot 1029^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{147} \cdot 1029^{\frac{1}{4}} \sqrt{3} \sqrt{2} \sqrt{1029^{\frac{3}{4}} \sqrt{2} x + 147 \, x^{2} + 49 \, \sqrt{21}} - \frac{1}{7} \cdot 1029^{\frac{1}{4}} \sqrt{2} x - 1\right) - \frac{1}{2058} \cdot 1029^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{147} \cdot 1029^{\frac{1}{4}} \sqrt{3} \sqrt{2} \sqrt{-1029^{\frac{3}{4}} \sqrt{2} x + 147 \, x^{2} + 49 \, \sqrt{21}} - \frac{1}{7} \cdot 1029^{\frac{1}{4}} \sqrt{2} x + 1\right) + \frac{1}{8232} \cdot 1029^{\frac{3}{4}} \sqrt{2} \log\left(1029^{\frac{3}{4}} \sqrt{2} x + 147 \, x^{2} + 49 \, \sqrt{21}\right) - \frac{1}{8232} \cdot 1029^{\frac{3}{4}} \sqrt{2} \log\left(-1029^{\frac{3}{4}} \sqrt{2} x + 147 \, x^{2} + 49 \, \sqrt{21}\right)"," ",0,"-1/2058*1029^(3/4)*sqrt(2)*arctan(1/147*1029^(1/4)*sqrt(3)*sqrt(2)*sqrt(1029^(3/4)*sqrt(2)*x + 147*x^2 + 49*sqrt(21)) - 1/7*1029^(1/4)*sqrt(2)*x - 1) - 1/2058*1029^(3/4)*sqrt(2)*arctan(1/147*1029^(1/4)*sqrt(3)*sqrt(2)*sqrt(-1029^(3/4)*sqrt(2)*x + 147*x^2 + 49*sqrt(21)) - 1/7*1029^(1/4)*sqrt(2)*x + 1) + 1/8232*1029^(3/4)*sqrt(2)*log(1029^(3/4)*sqrt(2)*x + 147*x^2 + 49*sqrt(21)) - 1/8232*1029^(3/4)*sqrt(2)*log(-1029^(3/4)*sqrt(2)*x + 147*x^2 + 49*sqrt(21))","A",0
39,1,132,0,1.008607," ","integrate(1/(x^4+3*x^2-1),x, algorithm=""fricas"")","\frac{1}{13} \, \sqrt{26} \sqrt{\sqrt{13} - 3} \arctan\left(\frac{1}{52} \, \sqrt{26} \sqrt{13} \sqrt{2} \sqrt{2 \, x^{2} + \sqrt{13} + 3} \sqrt{\sqrt{13} - 3} - \frac{1}{26} \, \sqrt{26} \sqrt{13} x \sqrt{\sqrt{13} - 3}\right) + \frac{1}{52} \, \sqrt{26} \sqrt{\sqrt{13} + 3} \log\left(\sqrt{26} {\left(3 \, \sqrt{13} - 13\right)} \sqrt{\sqrt{13} + 3} + 52 \, x\right) - \frac{1}{52} \, \sqrt{26} \sqrt{\sqrt{13} + 3} \log\left(-\sqrt{26} {\left(3 \, \sqrt{13} - 13\right)} \sqrt{\sqrt{13} + 3} + 52 \, x\right)"," ",0,"1/13*sqrt(26)*sqrt(sqrt(13) - 3)*arctan(1/52*sqrt(26)*sqrt(13)*sqrt(2)*sqrt(2*x^2 + sqrt(13) + 3)*sqrt(sqrt(13) - 3) - 1/26*sqrt(26)*sqrt(13)*x*sqrt(sqrt(13) - 3)) + 1/52*sqrt(26)*sqrt(sqrt(13) + 3)*log(sqrt(26)*(3*sqrt(13) - 13)*sqrt(sqrt(13) + 3) + 52*x) - 1/52*sqrt(26)*sqrt(sqrt(13) + 3)*log(-sqrt(26)*(3*sqrt(13) - 13)*sqrt(sqrt(13) + 3) + 52*x)","B",0
40,1,132,0,1.125995," ","integrate(1/(x^4-3*x^2-1),x, algorithm=""fricas"")","\frac{1}{13} \, \sqrt{26} \sqrt{\sqrt{13} + 3} \arctan\left(\frac{1}{52} \, \sqrt{26} \sqrt{13} \sqrt{2} \sqrt{2 \, x^{2} + \sqrt{13} - 3} \sqrt{\sqrt{13} + 3} - \frac{1}{26} \, \sqrt{26} \sqrt{13} x \sqrt{\sqrt{13} + 3}\right) - \frac{1}{52} \, \sqrt{26} \sqrt{\sqrt{13} - 3} \log\left(\sqrt{26} {\left(3 \, \sqrt{13} + 13\right)} \sqrt{\sqrt{13} - 3} + 52 \, x\right) + \frac{1}{52} \, \sqrt{26} \sqrt{\sqrt{13} - 3} \log\left(-\sqrt{26} {\left(3 \, \sqrt{13} + 13\right)} \sqrt{\sqrt{13} - 3} + 52 \, x\right)"," ",0,"1/13*sqrt(26)*sqrt(sqrt(13) + 3)*arctan(1/52*sqrt(26)*sqrt(13)*sqrt(2)*sqrt(2*x^2 + sqrt(13) - 3)*sqrt(sqrt(13) + 3) - 1/26*sqrt(26)*sqrt(13)*x*sqrt(sqrt(13) + 3)) - 1/52*sqrt(26)*sqrt(sqrt(13) - 3)*log(sqrt(26)*(3*sqrt(13) + 13)*sqrt(sqrt(13) - 3) + 52*x) + 1/52*sqrt(26)*sqrt(sqrt(13) - 3)*log(-sqrt(26)*(3*sqrt(13) + 13)*sqrt(sqrt(13) - 3) + 52*x)","B",0
41,1,91,0,0.982179," ","integrate(1/(x^4-3*x^2+1),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x^{2} + \sqrt{5} {\left(2 \, x + 1\right)} + 2 \, x + 3}{x^{2} + x - 1}\right) + \frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x^{2} + \sqrt{5} {\left(2 \, x - 1\right)} - 2 \, x + 3}{x^{2} - x - 1}\right) - \frac{1}{4} \, \log\left(x^{2} + x - 1\right) + \frac{1}{4} \, \log\left(x^{2} - x - 1\right)"," ",0,"1/20*sqrt(5)*log((2*x^2 + sqrt(5)*(2*x + 1) + 2*x + 3)/(x^2 + x - 1)) + 1/20*sqrt(5)*log((2*x^2 + sqrt(5)*(2*x - 1) - 2*x + 3)/(x^2 - x - 1)) - 1/4*log(x^2 + x - 1) + 1/4*log(x^2 - x - 1)","B",0
42,1,123,0,1.200354," ","integrate(1/(x^4-4*x^2+1),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \sqrt{\sqrt{3} + 2} \log\left(\sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + x\right) + \frac{1}{12} \, \sqrt{3} \sqrt{\sqrt{3} + 2} \log\left(-\sqrt{\sqrt{3} + 2} {\left(\sqrt{3} - 2\right)} + x\right) - \frac{1}{12} \, \sqrt{3} \sqrt{-\sqrt{3} + 2} \log\left({\left(\sqrt{3} + 2\right)} \sqrt{-\sqrt{3} + 2} + x\right) + \frac{1}{12} \, \sqrt{3} \sqrt{-\sqrt{3} + 2} \log\left(-{\left(\sqrt{3} + 2\right)} \sqrt{-\sqrt{3} + 2} + x\right)"," ",0,"-1/12*sqrt(3)*sqrt(sqrt(3) + 2)*log(sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + x) + 1/12*sqrt(3)*sqrt(sqrt(3) + 2)*log(-sqrt(sqrt(3) + 2)*(sqrt(3) - 2) + x) - 1/12*sqrt(3)*sqrt(-sqrt(3) + 2)*log((sqrt(3) + 2)*sqrt(-sqrt(3) + 2) + x) + 1/12*sqrt(3)*sqrt(-sqrt(3) + 2)*log(-(sqrt(3) + 2)*sqrt(-sqrt(3) + 2) + x)","B",0
43,1,87,0,0.857717," ","integrate(1/(x^4+4*x^2+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \sqrt{\sqrt{3} + 2} \arctan\left(-{\left(x - \sqrt{x^{2} - \sqrt{3} + 2}\right)} \sqrt{\sqrt{3} + 2}\right) + \frac{1}{3} \, \sqrt{3} \sqrt{-\sqrt{3} + 2} \arctan\left(-x \sqrt{-\sqrt{3} + 2} + \sqrt{x^{2} + \sqrt{3} + 2} \sqrt{-\sqrt{3} + 2}\right)"," ",0,"-1/3*sqrt(3)*sqrt(sqrt(3) + 2)*arctan(-(x - sqrt(x^2 - sqrt(3) + 2))*sqrt(sqrt(3) + 2)) + 1/3*sqrt(3)*sqrt(-sqrt(3) + 2)*arctan(-x*sqrt(-sqrt(3) + 2) + sqrt(x^2 + sqrt(3) + 2)*sqrt(-sqrt(3) + 2))","A",0
44,1,297,0,1.057383," ","integrate(1/(x^4+x^2+2),x, algorithm=""fricas"")","-\frac{1}{56} \cdot 8^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{-4 \, \sqrt{2} + 16} \arctan\left(-\frac{1}{56} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} x \sqrt{-4 \, \sqrt{2} + 16} + \frac{1}{112} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{4 \, x^{2} + 8^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{2} + 16} + 4 \, \sqrt{2}} \sqrt{-4 \, \sqrt{2} + 16} - \frac{1}{7} \, \sqrt{7} {\left(2 \, \sqrt{2} - 1\right)}\right) - \frac{1}{56} \cdot 8^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{-4 \, \sqrt{2} + 16} \arctan\left(-\frac{1}{56} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} x \sqrt{-4 \, \sqrt{2} + 16} + \frac{1}{112} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{4 \, x^{2} - 8^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{2} + 16} + 4 \, \sqrt{2}} \sqrt{-4 \, \sqrt{2} + 16} + \frac{1}{7} \, \sqrt{7} {\left(2 \, \sqrt{2} - 1\right)}\right) + \frac{1}{224} \cdot 8^{\frac{1}{4}} {\left(\sqrt{2} + 4\right)} \sqrt{-4 \, \sqrt{2} + 16} \log\left(4 \, x^{2} + 8^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{2} + 16} + 4 \, \sqrt{2}\right) - \frac{1}{224} \cdot 8^{\frac{1}{4}} {\left(\sqrt{2} + 4\right)} \sqrt{-4 \, \sqrt{2} + 16} \log\left(4 \, x^{2} - 8^{\frac{1}{4}} x \sqrt{-4 \, \sqrt{2} + 16} + 4 \, \sqrt{2}\right)"," ",0,"-1/56*8^(1/4)*sqrt(7)*sqrt(2)*sqrt(-4*sqrt(2) + 16)*arctan(-1/56*8^(3/4)*sqrt(7)*sqrt(2)*x*sqrt(-4*sqrt(2) + 16) + 1/112*8^(3/4)*sqrt(7)*sqrt(2)*sqrt(4*x^2 + 8^(1/4)*x*sqrt(-4*sqrt(2) + 16) + 4*sqrt(2))*sqrt(-4*sqrt(2) + 16) - 1/7*sqrt(7)*(2*sqrt(2) - 1)) - 1/56*8^(1/4)*sqrt(7)*sqrt(2)*sqrt(-4*sqrt(2) + 16)*arctan(-1/56*8^(3/4)*sqrt(7)*sqrt(2)*x*sqrt(-4*sqrt(2) + 16) + 1/112*8^(3/4)*sqrt(7)*sqrt(2)*sqrt(4*x^2 - 8^(1/4)*x*sqrt(-4*sqrt(2) + 16) + 4*sqrt(2))*sqrt(-4*sqrt(2) + 16) + 1/7*sqrt(7)*(2*sqrt(2) - 1)) + 1/224*8^(1/4)*(sqrt(2) + 4)*sqrt(-4*sqrt(2) + 16)*log(4*x^2 + 8^(1/4)*x*sqrt(-4*sqrt(2) + 16) + 4*sqrt(2)) - 1/224*8^(1/4)*(sqrt(2) + 4)*sqrt(-4*sqrt(2) + 16)*log(4*x^2 - 8^(1/4)*x*sqrt(-4*sqrt(2) + 16) + 4*sqrt(2))","B",0
45,1,275,0,1.579832," ","integrate(1/(x^4-x^2+2),x, algorithm=""fricas"")","-\frac{1}{28} \cdot 8^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{2} + 4} \arctan\left(-\frac{1}{28} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} x \sqrt{\sqrt{2} + 4} + \frac{1}{56} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{4 \, x^{2} + 2 \cdot 8^{\frac{1}{4}} x \sqrt{\sqrt{2} + 4} + 4 \, \sqrt{2}} \sqrt{\sqrt{2} + 4} - \frac{1}{7} \, \sqrt{7} {\left(2 \, \sqrt{2} + 1\right)}\right) - \frac{1}{28} \cdot 8^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{2} + 4} \arctan\left(-\frac{1}{28} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} x \sqrt{\sqrt{2} + 4} + \frac{1}{56} \cdot 8^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{4 \, x^{2} - 2 \cdot 8^{\frac{1}{4}} x \sqrt{\sqrt{2} + 4} + 4 \, \sqrt{2}} \sqrt{\sqrt{2} + 4} + \frac{1}{7} \, \sqrt{7} {\left(2 \, \sqrt{2} + 1\right)}\right) - \frac{1}{112} \cdot 8^{\frac{1}{4}} \sqrt{\sqrt{2} + 4} {\left(\sqrt{2} - 4\right)} \log\left(4 \, x^{2} + 2 \cdot 8^{\frac{1}{4}} x \sqrt{\sqrt{2} + 4} + 4 \, \sqrt{2}\right) + \frac{1}{112} \cdot 8^{\frac{1}{4}} \sqrt{\sqrt{2} + 4} {\left(\sqrt{2} - 4\right)} \log\left(4 \, x^{2} - 2 \cdot 8^{\frac{1}{4}} x \sqrt{\sqrt{2} + 4} + 4 \, \sqrt{2}\right)"," ",0,"-1/28*8^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(2) + 4)*arctan(-1/28*8^(3/4)*sqrt(7)*sqrt(2)*x*sqrt(sqrt(2) + 4) + 1/56*8^(3/4)*sqrt(7)*sqrt(2)*sqrt(4*x^2 + 2*8^(1/4)*x*sqrt(sqrt(2) + 4) + 4*sqrt(2))*sqrt(sqrt(2) + 4) - 1/7*sqrt(7)*(2*sqrt(2) + 1)) - 1/28*8^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(2) + 4)*arctan(-1/28*8^(3/4)*sqrt(7)*sqrt(2)*x*sqrt(sqrt(2) + 4) + 1/56*8^(3/4)*sqrt(7)*sqrt(2)*sqrt(4*x^2 - 2*8^(1/4)*x*sqrt(sqrt(2) + 4) + 4*sqrt(2))*sqrt(sqrt(2) + 4) + 1/7*sqrt(7)*(2*sqrt(2) + 1)) - 1/112*8^(1/4)*sqrt(sqrt(2) + 4)*(sqrt(2) - 4)*log(4*x^2 + 2*8^(1/4)*x*sqrt(sqrt(2) + 4) + 4*sqrt(2)) + 1/112*8^(1/4)*sqrt(sqrt(2) + 4)*(sqrt(2) - 4)*log(4*x^2 - 2*8^(1/4)*x*sqrt(sqrt(2) + 4) + 4*sqrt(2))","B",0
46,1,65,0,0.908299," ","integrate(1/(x^6-1),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{12} \, \log\left(x^{2} + x + 1\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right) + \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/12*log(x^2 + x + 1) + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1) + 1/6*log(x - 1)","A",0
47,1,175,0,1.298782," ","integrate(1/(x^6-2),x, algorithm=""fricas"")","\frac{1}{96} \cdot 32^{\frac{5}{6}} \sqrt{3} \arctan\left(-\frac{1}{3} \cdot 32^{\frac{1}{6}} \sqrt{3} x + \frac{1}{12} \cdot 32^{\frac{1}{6}} \sqrt{3} \sqrt{16 \, x^{2} + 32^{\frac{5}{6}} x + 8 \cdot 4^{\frac{2}{3}}} - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{96} \cdot 32^{\frac{5}{6}} \sqrt{3} \arctan\left(-\frac{1}{3} \cdot 32^{\frac{1}{6}} \sqrt{3} x + \frac{1}{12} \cdot 32^{\frac{1}{6}} \sqrt{3} \sqrt{16 \, x^{2} - 32^{\frac{5}{6}} x + 8 \cdot 4^{\frac{2}{3}}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{384} \cdot 32^{\frac{5}{6}} \log\left(16 \, x^{2} + 32^{\frac{5}{6}} x + 8 \cdot 4^{\frac{2}{3}}\right) + \frac{1}{384} \cdot 32^{\frac{5}{6}} \log\left(16 \, x^{2} - 32^{\frac{5}{6}} x + 8 \cdot 4^{\frac{2}{3}}\right) - \frac{1}{192} \cdot 32^{\frac{5}{6}} \log\left(16 \, x + 32^{\frac{5}{6}}\right) + \frac{1}{192} \cdot 32^{\frac{5}{6}} \log\left(16 \, x - 32^{\frac{5}{6}}\right)"," ",0,"1/96*32^(5/6)*sqrt(3)*arctan(-1/3*32^(1/6)*sqrt(3)*x + 1/12*32^(1/6)*sqrt(3)*sqrt(16*x^2 + 32^(5/6)*x + 8*4^(2/3)) - 1/3*sqrt(3)) + 1/96*32^(5/6)*sqrt(3)*arctan(-1/3*32^(1/6)*sqrt(3)*x + 1/12*32^(1/6)*sqrt(3)*sqrt(16*x^2 - 32^(5/6)*x + 8*4^(2/3)) + 1/3*sqrt(3)) - 1/384*32^(5/6)*log(16*x^2 + 32^(5/6)*x + 8*4^(2/3)) + 1/384*32^(5/6)*log(16*x^2 - 32^(5/6)*x + 8*4^(2/3)) - 1/192*32^(5/6)*log(16*x + 32^(5/6)) + 1/192*32^(5/6)*log(16*x - 32^(5/6))","A",0
48,1,177,0,0.691919," ","integrate(1/(x^6+2),x, algorithm=""fricas"")","\frac{1}{384} \cdot 32^{\frac{5}{6}} \sqrt{3} \log\left(32^{\frac{5}{6}} \sqrt{3} x + 16 \, x^{2} + 8 \cdot 4^{\frac{2}{3}}\right) - \frac{1}{384} \cdot 32^{\frac{5}{6}} \sqrt{3} \log\left(-32^{\frac{5}{6}} \sqrt{3} x + 16 \, x^{2} + 8 \cdot 4^{\frac{2}{3}}\right) - \frac{1}{48} \cdot 32^{\frac{5}{6}} \arctan\left(\frac{1}{4} \cdot 32^{\frac{1}{6}} \sqrt{2} \sqrt{2 \, x^{2} + 4^{\frac{2}{3}}} - \frac{1}{2} \cdot 32^{\frac{1}{6}} x\right) - \frac{1}{96} \cdot 32^{\frac{5}{6}} \arctan\left(-32^{\frac{1}{6}} x + \frac{1}{4} \cdot 32^{\frac{1}{6}} \sqrt{32^{\frac{5}{6}} \sqrt{3} x + 16 \, x^{2} + 8 \cdot 4^{\frac{2}{3}}} - \sqrt{3}\right) - \frac{1}{96} \cdot 32^{\frac{5}{6}} \arctan\left(-32^{\frac{1}{6}} x + \frac{1}{4} \cdot 32^{\frac{1}{6}} \sqrt{-32^{\frac{5}{6}} \sqrt{3} x + 16 \, x^{2} + 8 \cdot 4^{\frac{2}{3}}} + \sqrt{3}\right)"," ",0,"1/384*32^(5/6)*sqrt(3)*log(32^(5/6)*sqrt(3)*x + 16*x^2 + 8*4^(2/3)) - 1/384*32^(5/6)*sqrt(3)*log(-32^(5/6)*sqrt(3)*x + 16*x^2 + 8*4^(2/3)) - 1/48*32^(5/6)*arctan(1/4*32^(1/6)*sqrt(2)*sqrt(2*x^2 + 4^(2/3)) - 1/2*32^(1/6)*x) - 1/96*32^(5/6)*arctan(-32^(1/6)*x + 1/4*32^(1/6)*sqrt(32^(5/6)*sqrt(3)*x + 16*x^2 + 8*4^(2/3)) - sqrt(3)) - 1/96*32^(5/6)*arctan(-32^(1/6)*x + 1/4*32^(1/6)*sqrt(-32^(5/6)*sqrt(3)*x + 16*x^2 + 8*4^(2/3)) + sqrt(3))","A",0
49,1,1027,0,1.269161," ","integrate(1/(x^8+1),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} x - 2 \, \sqrt{2} \sqrt{x^{2} + \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1} + \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(-\frac{2 \, \sqrt{2} x - 2 \, \sqrt{2} \sqrt{x^{2} - \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1} - \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} x - 2 \, \sqrt{2} \sqrt{x^{2} + \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1} + \sqrt{\sqrt{2} + 2} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \arctan\left(\frac{2 \, \sqrt{2} x - 2 \, \sqrt{2} \sqrt{x^{2} - \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1} - \sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2} - \sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{64} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(x^{2} + \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1\right) + \frac{1}{64} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(x^{2} + \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1\right) - \frac{1}{64} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} - \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(x^{2} - \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} + \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1\right) - \frac{1}{64} \, {\left(\sqrt{2} \sqrt{\sqrt{2} + 2} + \sqrt{2} \sqrt{-\sqrt{2} + 2}\right)} \log\left(x^{2} - \frac{1}{2} \, \sqrt{2} x \sqrt{\sqrt{2} + 2} - \frac{1}{2} \, \sqrt{2} x \sqrt{-\sqrt{2} + 2} + 1\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{2 \, x - 2 \, \sqrt{x^{2} + x \sqrt{-\sqrt{2} + 2} + 1} + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{2 \, x - 2 \, \sqrt{x^{2} - x \sqrt{-\sqrt{2} + 2} + 1} - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{2 \, x - 2 \, \sqrt{x^{2} + x \sqrt{\sqrt{2} + 2} + 1} + \sqrt{\sqrt{2} + 2}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{2 \, x - 2 \, \sqrt{x^{2} - x \sqrt{\sqrt{2} + 2} + 1} - \sqrt{\sqrt{2} + 2}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} + 1\right) - \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} + 1\right)"," ",0,"-1/16*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*x - 2*sqrt(2)*sqrt(x^2 + 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) - 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) + sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) - 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*arctan(-(2*sqrt(2)*x - 2*sqrt(2)*sqrt(x^2 - 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) + 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) - sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))) + 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*x - 2*sqrt(2)*sqrt(x^2 + 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) + 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) + sqrt(sqrt(2) + 2) + sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) + 1/16*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*arctan((2*sqrt(2)*x - 2*sqrt(2)*sqrt(x^2 - 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) - 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) - sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))/(sqrt(sqrt(2) + 2) - sqrt(-sqrt(2) + 2))) + 1/64*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(x^2 + 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) + 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) + 1/64*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(x^2 + 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) - 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) - 1/64*(sqrt(2)*sqrt(sqrt(2) + 2) - sqrt(2)*sqrt(-sqrt(2) + 2))*log(x^2 - 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) + 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) - 1/64*(sqrt(2)*sqrt(sqrt(2) + 2) + sqrt(2)*sqrt(-sqrt(2) + 2))*log(x^2 - 1/2*sqrt(2)*x*sqrt(sqrt(2) + 2) - 1/2*sqrt(2)*x*sqrt(-sqrt(2) + 2) + 1) - 1/8*sqrt(sqrt(2) + 2)*arctan(-(2*x - 2*sqrt(x^2 + x*sqrt(-sqrt(2) + 2) + 1) + sqrt(-sqrt(2) + 2))/sqrt(sqrt(2) + 2)) - 1/8*sqrt(sqrt(2) + 2)*arctan(-(2*x - 2*sqrt(x^2 - x*sqrt(-sqrt(2) + 2) + 1) - sqrt(-sqrt(2) + 2))/sqrt(sqrt(2) + 2)) - 1/8*sqrt(-sqrt(2) + 2)*arctan(-(2*x - 2*sqrt(x^2 + x*sqrt(sqrt(2) + 2) + 1) + sqrt(sqrt(2) + 2))/sqrt(-sqrt(2) + 2)) - 1/8*sqrt(-sqrt(2) + 2)*arctan(-(2*x - 2*sqrt(x^2 - x*sqrt(sqrt(2) + 2) + 1) - sqrt(sqrt(2) + 2))/sqrt(-sqrt(2) + 2)) + 1/32*sqrt(sqrt(2) + 2)*log(x^2 + x*sqrt(sqrt(2) + 2) + 1) - 1/32*sqrt(sqrt(2) + 2)*log(x^2 - x*sqrt(sqrt(2) + 2) + 1) + 1/32*sqrt(-sqrt(2) + 2)*log(x^2 + x*sqrt(-sqrt(2) + 2) + 1) - 1/32*sqrt(-sqrt(2) + 2)*log(x^2 - x*sqrt(-sqrt(2) + 2) + 1)","B",0
50,1,111,0,0.980727," ","integrate(1/(x^8-1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + \sqrt{2} x + 1} - 1\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - \sqrt{2} x + 1} + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{4} \, \arctan\left(x\right) - \frac{1}{8} \, \log\left(x + 1\right) + \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/4*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 + sqrt(2)*x + 1) - 1) + 1/4*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 - sqrt(2)*x + 1) + 1) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*arctan(x) - 1/8*log(x + 1) + 1/8*log(x - 1)","A",0
51,1,215,0,1.032379," ","integrate(1/(x^8-x^4+1),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \sqrt{2} \arctan\left(-\frac{\sqrt{3} \sqrt{2} {\left(x^{3} - x\right)} + x^{2} - \sqrt{x^{4} + \sqrt{3} \sqrt{2} {\left(x^{3} + x\right)} + 3 \, x^{2} + 1} {\left(\sqrt{3} \sqrt{2} x - 2\right)}}{3 \, x^{2} - 2}\right) - \frac{1}{6} \, \sqrt{3} \sqrt{2} \arctan\left(-\frac{\sqrt{3} \sqrt{2} {\left(x^{3} - x\right)} - x^{2} - \sqrt{x^{4} - \sqrt{3} \sqrt{2} {\left(x^{3} + x\right)} + 3 \, x^{2} + 1} {\left(\sqrt{3} \sqrt{2} x + 2\right)}}{3 \, x^{2} - 2}\right) + \frac{1}{24} \, \sqrt{3} \sqrt{2} \log\left(x^{4} + \sqrt{3} \sqrt{2} {\left(x^{3} + x\right)} + 3 \, x^{2} + 1\right) - \frac{1}{24} \, \sqrt{3} \sqrt{2} \log\left(x^{4} - \sqrt{3} \sqrt{2} {\left(x^{3} + x\right)} + 3 \, x^{2} + 1\right)"," ",0,"-1/6*sqrt(3)*sqrt(2)*arctan(-(sqrt(3)*sqrt(2)*(x^3 - x) + x^2 - sqrt(x^4 + sqrt(3)*sqrt(2)*(x^3 + x) + 3*x^2 + 1)*(sqrt(3)*sqrt(2)*x - 2))/(3*x^2 - 2)) - 1/6*sqrt(3)*sqrt(2)*arctan(-(sqrt(3)*sqrt(2)*(x^3 - x) - x^2 - sqrt(x^4 - sqrt(3)*sqrt(2)*(x^3 + x) + 3*x^2 + 1)*(sqrt(3)*sqrt(2)*x + 2))/(3*x^2 - 2)) + 1/24*sqrt(3)*sqrt(2)*log(x^4 + sqrt(3)*sqrt(2)*(x^3 + x) + 3*x^2 + 1) - 1/24*sqrt(3)*sqrt(2)*log(x^4 - sqrt(3)*sqrt(2)*(x^3 + x) + 3*x^2 + 1)","A",0
52,1,40,0,0.880861," ","integrate(x^7/(x^12+1),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{24} \, \log\left(x^{8} - x^{4} + 1\right) - \frac{1}{12} \, \log\left(x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/24*log(x^8 - x^4 + 1) - 1/12*log(x^4 + 1)","A",0
53,1,8,0,1.224943," ","integrate(log(x),x, algorithm=""fricas"")","x \log\left(x\right) - x"," ",0,"x*log(x) - x","A",0
54,1,13,0,1.120122," ","integrate(x*log(x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
55,1,13,0,1.263046," ","integrate(x^2*log(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \log\left(x\right) - \frac{1}{9} \, x^{3}"," ",0,"1/3*x^3*log(x) - 1/9*x^3","A",0
56,1,25,0,1.276744," ","integrate(x^p*log(x),x, algorithm=""fricas"")","\frac{{\left({\left(p + 1\right)} x \log\left(x\right) - x\right)} x^{p}}{p^{2} + 2 \, p + 1}"," ",0,"((p + 1)*x*log(x) - x)*x^p/(p^2 + 2*p + 1)","A",0
57,1,15,0,1.050579," ","integrate(log(x)^2,x, algorithm=""fricas"")","x \log\left(x\right)^{2} - 2 \, x \log\left(x\right) + 2 \, x"," ",0,"x*log(x)^2 - 2*x*log(x) + 2*x","A",0
58,1,103,0,1.005250," ","integrate(x^9*log(x)^11,x, algorithm=""fricas"")","\frac{1}{10} \, x^{10} \log\left(x\right)^{11} - \frac{11}{100} \, x^{10} \log\left(x\right)^{10} + \frac{11}{100} \, x^{10} \log\left(x\right)^{9} - \frac{99}{1000} \, x^{10} \log\left(x\right)^{8} + \frac{99}{1250} \, x^{10} \log\left(x\right)^{7} - \frac{693}{12500} \, x^{10} \log\left(x\right)^{6} + \frac{2079}{62500} \, x^{10} \log\left(x\right)^{5} - \frac{2079}{125000} \, x^{10} \log\left(x\right)^{4} + \frac{2079}{312500} \, x^{10} \log\left(x\right)^{3} - \frac{6237}{3125000} \, x^{10} \log\left(x\right)^{2} + \frac{6237}{15625000} \, x^{10} \log\left(x\right) - \frac{6237}{156250000} \, x^{10}"," ",0,"1/10*x^10*log(x)^11 - 11/100*x^10*log(x)^10 + 11/100*x^10*log(x)^9 - 99/1000*x^10*log(x)^8 + 99/1250*x^10*log(x)^7 - 693/12500*x^10*log(x)^6 + 2079/62500*x^10*log(x)^5 - 2079/125000*x^10*log(x)^4 + 2079/312500*x^10*log(x)^3 - 6237/3125000*x^10*log(x)^2 + 6237/15625000*x^10*log(x) - 6237/156250000*x^10","A",0
59,1,6,0,1.397375," ","integrate(log(x)^2/x,x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x\right)^{3}"," ",0,"1/3*log(x)^3","A",0
60,1,2,0,1.157580," ","integrate(1/log(x),x, algorithm=""fricas"")","\operatorname{log\_integral}\left(x\right)"," ",0,"log_integral(x)","A",0
61,1,4,0,1.074616," ","integrate(1/log(1+x),x, algorithm=""fricas"")","\operatorname{log\_integral}\left(x + 1\right)"," ",0,"log_integral(x + 1)","A",0
62,1,3,0,0.797368," ","integrate(1/x/log(x),x, algorithm=""fricas"")","\log\left(\log\left(x\right)\right)"," ",0,"log(log(x))","A",0
63,1,19,0,0.791759," ","integrate(1/x^2/log(x)^2,x, algorithm=""fricas"")","-\frac{x \log\left(x\right) \operatorname{log\_integral}\left(\frac{1}{x}\right) + 1}{x \log\left(x\right)}"," ",0,"-(x*log(x)*log_integral(1/x) + 1)/(x*log(x))","A",0
64,1,12,0,1.174987," ","integrate(log(x)^p/x,x, algorithm=""fricas"")","\frac{\log\left(x\right)^{p} \log\left(x\right)}{p + 1}"," ",0,"log(x)^p*log(x)/(p + 1)","A",0
65,1,25,0,0.717913," ","integrate((a*x+b)*log(x),x, algorithm=""fricas"")","-\frac{1}{4} \, a x^{2} - b x + \frac{1}{2} \, {\left(a x^{2} + 2 \, b x\right)} \log\left(x\right)"," ",0,"-1/4*a*x^2 - b*x + 1/2*(a*x^2 + 2*b*x)*log(x)","A",0
66,1,47,0,1.266547," ","integrate((a*x+b)^2*log(x),x, algorithm=""fricas"")","-\frac{1}{9} \, a^{2} x^{3} - \frac{1}{2} \, a b x^{2} - b^{2} x + \frac{1}{3} \, {\left(a^{2} x^{3} + 3 \, a b x^{2} + 3 \, b^{2} x\right)} \log\left(x\right)"," ",0,"-1/9*a^2*x^3 - 1/2*a*b*x^2 - b^2*x + 1/3*(a^2*x^3 + 3*a*b*x^2 + 3*b^2*x)*log(x)","A",0
67,1,34,0,0.911393," ","integrate(log(x)/(a*x+b)^2,x, algorithm=""fricas"")","\frac{a x \log\left(x\right) - {\left(a x + b\right)} \log\left(a x + b\right)}{a^{2} b x + a b^{2}}"," ",0,"(a*x*log(x) - (a*x + b)*log(a*x + b))/(a^2*b*x + a*b^2)","A",0
68,1,39,0,1.056523," ","integrate(x*log(a*x+b),x, algorithm=""fricas"")","-\frac{a^{2} x^{2} - 2 \, a b x - 2 \, {\left(a^{2} x^{2} - b^{2}\right)} \log\left(a x + b\right)}{4 \, a^{2}}"," ",0,"-1/4*(a^2*x^2 - 2*a*b*x - 2*(a^2*x^2 - b^2)*log(a*x + b))/a^2","A",0
69,1,49,0,0.676397," ","integrate(x^2*log(a*x+b),x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{3} - 3 \, a^{2} b x^{2} + 6 \, a b^{2} x - 6 \, {\left(a^{3} x^{3} + b^{3}\right)} \log\left(a x + b\right)}{18 \, a^{3}}"," ",0,"-1/18*(2*a^3*x^3 - 3*a^2*b*x^2 + 6*a*b^2*x - 6*(a^3*x^3 + b^3)*log(a*x + b))/a^3","A",0
70,1,23,0,1.070067," ","integrate(log(a^2+x^2),x, algorithm=""fricas"")","2 \, a \arctan\left(\frac{x}{a}\right) + x \log\left(a^{2} + x^{2}\right) - 2 \, x"," ",0,"2*a*arctan(x/a) + x*log(a^2 + x^2) - 2*x","A",0
71,1,23,0,1.294115," ","integrate(x*log(a^2+x^2),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + \frac{1}{2} \, {\left(a^{2} + x^{2}\right)} \log\left(a^{2} + x^{2}\right)"," ",0,"-1/2*x^2 + 1/2*(a^2 + x^2)*log(a^2 + x^2)","A",0
72,1,36,0,0.824309," ","integrate(x^2*log(a^2+x^2),x, algorithm=""fricas"")","-\frac{2}{3} \, a^{3} \arctan\left(\frac{x}{a}\right) + \frac{1}{3} \, x^{3} \log\left(a^{2} + x^{2}\right) + \frac{2}{3} \, a^{2} x - \frac{2}{9} \, x^{3}"," ",0,"-2/3*a^3*arctan(x/a) + 1/3*x^3*log(a^2 + x^2) + 2/3*a^2*x - 2/9*x^3","A",0
73,1,44,0,1.331409," ","integrate(x^4*log(a^2+x^2),x, algorithm=""fricas"")","\frac{2}{5} \, a^{5} \arctan\left(\frac{x}{a}\right) + \frac{1}{5} \, x^{5} \log\left(a^{2} + x^{2}\right) - \frac{2}{5} \, a^{4} x + \frac{2}{15} \, a^{2} x^{3} - \frac{2}{25} \, x^{5}"," ",0,"2/5*a^5*arctan(x/a) + 1/5*x^5*log(a^2 + x^2) - 2/5*a^4*x + 2/15*a^2*x^3 - 2/25*x^5","A",0
74,1,31,0,1.165691," ","integrate(log(-a^2+x^2),x, algorithm=""fricas"")","x \log\left(-a^{2} + x^{2}\right) + a \log\left(a + x\right) - a \log\left(-a + x\right) - 2 \, x"," ",0,"x*log(-a^2 + x^2) + a*log(a + x) - a*log(-a + x) - 2*x","A",0
75,0,0,0,1.235628," ","integrate(log(log(log(log(x)))),x, algorithm=""fricas"")","{\rm integral}\left(\log\left(\log\left(\log\left(\log\left(x\right)\right)\right)\right), x\right)"," ",0,"integral(log(log(log(log(x)))), x)","F",0
76,1,4,0,1.328090," ","integrate(sin(x),x, algorithm=""fricas"")","-\cos\left(x\right)"," ",0,"-cos(x)","A",0
77,1,2,0,1.336844," ","integrate(cos(x),x, algorithm=""fricas"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
78,1,11,0,1.423526," ","integrate(tan(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*log(1/(tan(x)^2 + 1))","B",0
79,1,16,0,1.471025," ","integrate(1/tan(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{\tan\left(x\right)^{2}}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/2*log(tan(x)^2/(tan(x)^2 + 1))","B",0
80,1,37,0,1.631665," ","integrate(1/(1+tan(x))^2,x, algorithm=""fricas"")","\frac{{\left(\tan\left(x\right) + 1\right)} \log\left(\frac{\tan\left(x\right)^{2} + 2 \, \tan\left(x\right) + 1}{\tan\left(x\right)^{2} + 1}\right) + \tan\left(x\right) - 1}{4 \, {\left(\tan\left(x\right) + 1\right)}}"," ",0,"1/4*((tan(x) + 1)*log((tan(x)^2 + 2*tan(x) + 1)/(tan(x)^2 + 1)) + tan(x) - 1)/(tan(x) + 1)","B",0
81,1,17,0,1.859710," ","integrate(1/cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right) - \frac{1}{2} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"1/2*log(sin(x) + 1) - 1/2*log(-sin(x) + 1)","B",0
82,1,19,0,0.937911," ","integrate(1/sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"-1/2*log(1/2*cos(x) + 1/2) + 1/2*log(-1/2*cos(x) + 1/2)","B",0
83,1,10,0,1.407091," ","integrate(sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"-1/2*cos(x)*sin(x) + 1/2*x","A",0
84,1,16,0,1.148586," ","integrate(x^3*sin(x^2),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} \cos\left(x^{2}\right) + \frac{1}{2} \, \sin\left(x^{2}\right)"," ",0,"-1/2*x^2*cos(x^2) + 1/2*sin(x^2)","A",0
85,1,11,0,1.495776," ","integrate(sin(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
86,0,0,0,1.184656," ","integrate(sin(x)^p,x, algorithm=""fricas"")","{\rm integral}\left(\sin\left(x\right)^{p}, x\right)"," ",0,"integral(sin(x)^p, x)","F",0
87,1,18,0,1.538807," ","integrate(cos(x)*(1+sin(x)^2)^2,x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, \cos\left(x\right)^{4} - 16 \, \cos\left(x\right)^{2} + 28\right)} \sin\left(x\right)"," ",0,"1/15*(3*cos(x)^4 - 16*cos(x)^2 + 28)*sin(x)","A",0
88,1,10,0,1.141488," ","integrate(cos(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*cos(x)*sin(x) + 1/2*x","A",0
89,1,10,0,1.275689," ","integrate(cos(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(\cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)"," ",0,"1/3*(cos(x)^2 + 2)*sin(x)","A",0
90,1,7,0,1.393407," ","integrate(1/cos(x)^2,x, algorithm=""fricas"")","\frac{\sin\left(x\right)}{\cos\left(x\right)}"," ",0,"sin(x)/cos(x)","B",0
91,1,10,0,0.859889," ","integrate(sin(x)*sin(2*x),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)"," ",0,"-2/3*(cos(x)^2 - 1)*sin(x)","A",0
92,1,8,0,1.314779," ","integrate(x*sin(x),x, algorithm=""fricas"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
93,1,15,0,1.403947," ","integrate(x^2*sin(x),x, algorithm=""fricas"")","-{\left(x^{2} - 2\right)} \cos\left(x\right) + 2 \, x \sin\left(x\right)"," ",0,"-(x^2 - 2)*cos(x) + 2*x*sin(x)","A",0
94,1,19,0,1.222105," ","integrate(x*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, x \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x^{2} - \frac{1}{4} \, \cos\left(x\right)^{2}"," ",0,"-1/2*x*cos(x)*sin(x) + 1/4*x^2 - 1/4*cos(x)^2","A",0
95,1,29,0,1.430058," ","integrate(x^2*sin(x)^2,x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - \frac{1}{2} \, x \cos\left(x\right)^{2} - \frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x"," ",0,"1/6*x^3 - 1/2*x*cos(x)^2 - 1/4*(2*x^2 - 1)*cos(x)*sin(x) + 1/4*x","A",0
96,1,23,0,1.328028," ","integrate(x*sin(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, x \cos\left(x\right)^{3} - x \cos\left(x\right) - \frac{1}{9} \, {\left(\cos\left(x\right)^{2} - 7\right)} \sin\left(x\right)"," ",0,"1/3*x*cos(x)^3 - x*cos(x) - 1/9*(cos(x)^2 - 7)*sin(x)","A",0
97,1,7,0,1.271310," ","integrate(x*cos(x),x, algorithm=""fricas"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
98,1,14,0,1.157826," ","integrate(x^2*cos(x),x, algorithm=""fricas"")","2 \, x \cos\left(x\right) + {\left(x^{2} - 2\right)} \sin\left(x\right)"," ",0,"2*x*cos(x) + (x^2 - 2)*sin(x)","A",0
99,1,19,0,1.214202," ","integrate(x*cos(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x^{2} + \frac{1}{4} \, \cos\left(x\right)^{2}"," ",0,"1/2*x*cos(x)*sin(x) + 1/4*x^2 + 1/4*cos(x)^2","A",0
100,1,29,0,1.329899," ","integrate(x^2*cos(x)^2,x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} + \frac{1}{2} \, x \cos\left(x\right)^{2} + \frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \cos\left(x\right) \sin\left(x\right) - \frac{1}{4} \, x"," ",0,"1/6*x^3 + 1/2*x*cos(x)^2 + 1/4*(2*x^2 - 1)*cos(x)*sin(x) - 1/4*x","A",0
101,1,25,0,1.169991," ","integrate(x*cos(x)^3,x, algorithm=""fricas"")","\frac{1}{9} \, \cos\left(x\right)^{3} + \frac{1}{3} \, {\left(x \cos\left(x\right)^{2} + 2 \, x\right)} \sin\left(x\right) + \frac{2}{3} \, \cos\left(x\right)"," ",0,"1/9*cos(x)^3 + 1/3*(x*cos(x)^2 + 2*x)*sin(x) + 2/3*cos(x)","A",0
102,1,2,0,1.306444," ","integrate(sin(x)/x,x, algorithm=""fricas"")","\operatorname{Si}\left(x\right)"," ",0,"sin_integral(x)","A",0
103,1,11,0,0.970844," ","integrate(cos(x)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \operatorname{Ci}\left(-x\right) + \frac{1}{2} \, \operatorname{Ci}\left(x\right)"," ",0,"1/2*cos_integral(-x) + 1/2*cos_integral(x)","B",0
104,1,20,0,1.062540," ","integrate(sin(x)/x^2,x, algorithm=""fricas"")","\frac{x \operatorname{Ci}\left(-x\right) + x \operatorname{Ci}\left(x\right) - 2 \, \sin\left(x\right)}{2 \, x}"," ",0,"1/2*(x*cos_integral(-x) + x*cos_integral(x) - 2*sin(x))/x","A",0
105,1,17,0,1.035850," ","integrate(sin(x)^2/x,x, algorithm=""fricas"")","-\frac{1}{4} \, \operatorname{Ci}\left(2 \, x\right) - \frac{1}{4} \, \operatorname{Ci}\left(-2 \, x\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/4*cos_integral(2*x) - 1/4*cos_integral(-2*x) + 1/2*log(x)","A",0
106,1,18,0,1.434696," ","integrate(tan(x)^3,x, algorithm=""fricas"")","\frac{1}{2} \, \tan\left(x\right)^{2} + \frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/2*tan(x)^2 + 1/2*log(1/(tan(x)^2 + 1))","A",0
107,1,11,0,1.453809," ","integrate(sin(b*x+a),x, algorithm=""fricas"")","-\frac{\cos\left(b x + a\right)}{b}"," ",0,"-cos(b*x + a)/b","A",0
108,1,10,0,0.815273," ","integrate(cos(b*x+a),x, algorithm=""fricas"")","\frac{\sin\left(b x + a\right)}{b}"," ",0,"sin(b*x + a)/b","A",0
109,1,18,0,0.708305," ","integrate(tan(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(\frac{1}{\tan\left(b x + a\right)^{2} + 1}\right)}{2 \, b}"," ",0,"-1/2*log(1/(tan(b*x + a)^2 + 1))/b","A",0
110,1,27,0,1.160674," ","integrate(1/tan(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(\frac{\tan\left(b x + a\right)^{2}}{\tan\left(b x + a\right)^{2} + 1}\right)}{2 \, b}"," ",0,"1/2*log(tan(b*x + a)^2/(tan(b*x + a)^2 + 1))/b","B",0
111,1,30,0,0.927000," ","integrate(1/sin(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(\frac{1}{2} \, \cos\left(b x + a\right) + \frac{1}{2}\right) - \log\left(-\frac{1}{2} \, \cos\left(b x + a\right) + \frac{1}{2}\right)}{2 \, b}"," ",0,"-1/2*(log(1/2*cos(b*x + a) + 1/2) - log(-1/2*cos(b*x + a) + 1/2))/b","B",0
112,1,28,0,1.293155," ","integrate(1/cos(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(\sin\left(b x + a\right) + 1\right) - \log\left(-\sin\left(b x + a\right) + 1\right)}{2 \, b}"," ",0,"1/2*(log(sin(b*x + a) + 1) - log(-sin(b*x + a) + 1))/b","B",0
113,1,23,0,1.443385," ","integrate(sin(b*x+a)^2,x, algorithm=""fricas"")","\frac{b x - \cos\left(b x + a\right) \sin\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(b*x - cos(b*x + a)*sin(b*x + a))/b","A",0
114,1,22,0,1.385111," ","integrate(sin(b*x+a)^3,x, algorithm=""fricas"")","\frac{\cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(cos(b*x + a)^3 - 3*cos(b*x + a))/b","A",0
115,1,22,0,1.449486," ","integrate(cos(b*x+a)^2,x, algorithm=""fricas"")","\frac{b x + \cos\left(b x + a\right) \sin\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(b*x + cos(b*x + a)*sin(b*x + a))/b","A",0
116,1,21,0,1.344469," ","integrate(cos(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(\cos\left(b x + a\right)^{2} + 2\right)} \sin\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(cos(b*x + a)^2 + 2)*sin(b*x + a)/b","A",0
117,1,18,0,0.863706," ","integrate(1/cos(b*x+a)^2,x, algorithm=""fricas"")","\frac{\sin\left(b x + a\right)}{b \cos\left(b x + a\right)}"," ",0,"sin(b*x + a)/(b*cos(b*x + a))","A",0
118,1,9,0,1.275927," ","integrate(1/(1+cos(x)),x, algorithm=""fricas"")","\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"sin(x)/(cos(x) + 1)","A",0
119,1,10,0,1.190173," ","integrate(1/(1-cos(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)/sin(x)","A",0
120,1,18,0,1.337705," ","integrate(1/(1+sin(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) - \sin\left(x\right) + 1}{\cos\left(x\right) + \sin\left(x\right) + 1}"," ",0,"-(cos(x) - sin(x) + 1)/(cos(x) + sin(x) + 1)","A",0
121,1,17,0,1.087006," ","integrate(1/(1-sin(x)),x, algorithm=""fricas"")","\frac{\cos\left(x\right) + \sin\left(x\right) + 1}{\cos\left(x\right) - \sin\left(x\right) + 1}"," ",0,"(cos(x) + sin(x) + 1)/(cos(x) - sin(x) + 1)","A",0
122,1,148,0,1.191006," ","integrate(1/(a+b*sin(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2}} \log\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \cos\left(x\right)^{2} - 2 \, a b \sin\left(x\right) - a^{2} - b^{2} + 2 \, {\left(a \cos\left(x\right) \sin\left(x\right) + b \cos\left(x\right)\right)} \sqrt{-a^{2} + b^{2}}}{b^{2} \cos\left(x\right)^{2} - 2 \, a b \sin\left(x\right) - a^{2} - b^{2}}\right)}{2 \, {\left(a^{2} - b^{2}\right)}}, -\frac{\arctan\left(-\frac{a \sin\left(x\right) + b}{\sqrt{a^{2} - b^{2}} \cos\left(x\right)}\right)}{\sqrt{a^{2} - b^{2}}}\right]"," ",0,"[-1/2*sqrt(-a^2 + b^2)*log(((2*a^2 - b^2)*cos(x)^2 - 2*a*b*sin(x) - a^2 - b^2 + 2*(a*cos(x)*sin(x) + b*cos(x))*sqrt(-a^2 + b^2))/(b^2*cos(x)^2 - 2*a*b*sin(x) - a^2 - b^2))/(a^2 - b^2), -arctan(-(a*sin(x) + b)/(sqrt(a^2 - b^2)*cos(x)))/sqrt(a^2 - b^2)]","A",0
123,1,287,0,1.017155," ","integrate(1/(a+cos(x)+b*sin(x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + b^{2} + 1} \log\left(-\frac{b^{4} + {\left(a^{2} + 3\right)} b^{2} - {\left(2 \, a^{2} b^{2} - b^{4} - 2 \, a^{2} + 1\right)} \cos\left(x\right)^{2} - a^{2} + 2 \, {\left(a b^{2} + a\right)} \cos\left(x\right) + 2 \, {\left(a b^{3} + a b - {\left(b^{3} - {\left(2 \, a^{2} - 1\right)} b\right)} \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, {\left(2 \, a b \cos\left(x\right)^{2} - a b + {\left(b^{3} + b\right)} \cos\left(x\right) - {\left(b^{2} - {\left(a b^{2} - a\right)} \cos\left(x\right) + 1\right)} \sin\left(x\right)\right)} \sqrt{-a^{2} + b^{2} + 1} + 2}{{\left(b^{2} - 1\right)} \cos\left(x\right)^{2} - a^{2} - b^{2} - 2 \, a \cos\left(x\right) - 2 \, {\left(a b + b \cos\left(x\right)\right)} \sin\left(x\right)}\right)}{2 \, {\left(a^{2} - b^{2} - 1\right)}}, \frac{\arctan\left(-\frac{{\left(a b \sin\left(x\right) + b^{2} + a \cos\left(x\right) + 1\right)} \sqrt{a^{2} - b^{2} - 1}}{{\left(b^{3} - {\left(a^{2} - 1\right)} b\right)} \cos\left(x\right) + {\left(a^{2} - b^{2} - 1\right)} \sin\left(x\right)}\right)}{\sqrt{a^{2} - b^{2} - 1}}\right]"," ",0,"[-1/2*sqrt(-a^2 + b^2 + 1)*log(-(b^4 + (a^2 + 3)*b^2 - (2*a^2*b^2 - b^4 - 2*a^2 + 1)*cos(x)^2 - a^2 + 2*(a*b^2 + a)*cos(x) + 2*(a*b^3 + a*b - (b^3 - (2*a^2 - 1)*b)*cos(x))*sin(x) - 2*(2*a*b*cos(x)^2 - a*b + (b^3 + b)*cos(x) - (b^2 - (a*b^2 - a)*cos(x) + 1)*sin(x))*sqrt(-a^2 + b^2 + 1) + 2)/((b^2 - 1)*cos(x)^2 - a^2 - b^2 - 2*a*cos(x) - 2*(a*b + b*cos(x))*sin(x)))/(a^2 - b^2 - 1), arctan(-(a*b*sin(x) + b^2 + a*cos(x) + 1)*sqrt(a^2 - b^2 - 1)/((b^3 - (a^2 - 1)*b)*cos(x) + (a^2 - b^2 - 1)*sin(x)))/sqrt(a^2 - b^2 - 1)]","A",0
124,1,54,0,0.664672," ","integrate(x^2*sin(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} - 6 \, b x \cos\left(b x + a\right)^{2} - 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cos\left(b x + a\right) \sin\left(b x + a\right) + 3 \, b x}{12 \, b^{3}}"," ",0,"1/12*(2*b^3*x^3 - 6*b*x*cos(b*x + a)^2 - 3*(2*b^2*x^2 - 1)*cos(b*x + a)*sin(b*x + a) + 3*b*x)/b^3","A",0
125,1,12,0,1.177925," ","integrate(cos(x)*cos(2*x),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)"," ",0,"1/3*(2*cos(x)^2 + 1)*sin(x)","A",0
126,1,54,0,1.185143," ","integrate(x^2*cos(b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} + 6 \, b x \cos\left(b x + a\right)^{2} + 3 \, {\left(2 \, b^{2} x^{2} - 1\right)} \cos\left(b x + a\right) \sin\left(b x + a\right) - 3 \, b x}{12 \, b^{3}}"," ",0,"1/12*(2*b^3*x^3 + 6*b*x*cos(b*x + a)^2 + 3*(2*b^2*x^2 - 1)*cos(b*x + a)*sin(b*x + a) - 3*b*x)/b^3","A",0
127,1,31,0,1.396673," ","integrate(1/tan(x)^3,x, algorithm=""fricas"")","-\frac{\log\left(\frac{\tan\left(x\right)^{2}}{\tan\left(x\right)^{2} + 1}\right) \tan\left(x\right)^{2} + \tan\left(x\right)^{2} + 1}{2 \, \tan\left(x\right)^{2}}"," ",0,"-1/2*(log(tan(x)^2/(tan(x)^2 + 1))*tan(x)^2 + tan(x)^2 + 1)/tan(x)^2","B",0
128,1,182,0,1.214535," ","integrate(x^3*tan(x)^4,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \tan\left(x\right)^{3} + \frac{1}{4} \, x^{4} - \frac{1}{2} \, x^{2} \tan\left(x\right)^{2} - \frac{1}{2} \, x^{2} - 2 i \, x {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + 2 i \, x {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) - \frac{1}{2} \, {\left(4 \, x^{2} - 1\right)} \log\left(-\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{2} \, {\left(4 \, x^{2} - 1\right)} \log\left(-\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) - {\left(x^{3} - x\right)} \tan\left(x\right) - {\rm polylog}\left(3, \frac{\tan\left(x\right)^{2} + 2 i \, \tan\left(x\right) - 1}{\tan\left(x\right)^{2} + 1}\right) - {\rm polylog}\left(3, \frac{\tan\left(x\right)^{2} - 2 i \, \tan\left(x\right) - 1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/3*x^3*tan(x)^3 + 1/4*x^4 - 1/2*x^2*tan(x)^2 - 1/2*x^2 - 2*I*x*dilog(2*(I*tan(x) - 1)/(tan(x)^2 + 1) + 1) + 2*I*x*dilog(2*(-I*tan(x) - 1)/(tan(x)^2 + 1) + 1) - 1/2*(4*x^2 - 1)*log(-2*(I*tan(x) - 1)/(tan(x)^2 + 1)) - 1/2*(4*x^2 - 1)*log(-2*(-I*tan(x) - 1)/(tan(x)^2 + 1)) - (x^3 - x)*tan(x) - polylog(3, (tan(x)^2 + 2*I*tan(x) - 1)/(tan(x)^2 + 1)) - polylog(3, (tan(x)^2 - 2*I*tan(x) - 1)/(tan(x)^2 + 1))","C",0
129,1,212,0,1.338154," ","integrate(x^3*tan(x)^6,x, algorithm=""fricas"")","\frac{1}{5} \, x^{3} \tan\left(x\right)^{5} - \frac{3}{20} \, x^{2} \tan\left(x\right)^{4} - \frac{1}{4} \, x^{4} - \frac{1}{30} \, {\left(10 \, x^{3} - 3 \, x\right)} \tan\left(x\right)^{3} + \frac{1}{20} \, {\left(16 \, x^{2} - 1\right)} \tan\left(x\right)^{2} + \frac{19}{20} \, x^{2} + \frac{23}{10} i \, x {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) - \frac{23}{10} i \, x {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{10} \, {\left(23 \, x^{2} - 10\right)} \log\left(-\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{10} \, {\left(23 \, x^{2} - 10\right)} \log\left(-\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{10} \, {\left(10 \, x^{3} - 19 \, x\right)} \tan\left(x\right) + \frac{23}{20} \, {\rm polylog}\left(3, \frac{\tan\left(x\right)^{2} + 2 i \, \tan\left(x\right) - 1}{\tan\left(x\right)^{2} + 1}\right) + \frac{23}{20} \, {\rm polylog}\left(3, \frac{\tan\left(x\right)^{2} - 2 i \, \tan\left(x\right) - 1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/5*x^3*tan(x)^5 - 3/20*x^2*tan(x)^4 - 1/4*x^4 - 1/30*(10*x^3 - 3*x)*tan(x)^3 + 1/20*(16*x^2 - 1)*tan(x)^2 + 19/20*x^2 + 23/10*I*x*dilog(2*(I*tan(x) - 1)/(tan(x)^2 + 1) + 1) - 23/10*I*x*dilog(2*(-I*tan(x) - 1)/(tan(x)^2 + 1) + 1) + 1/10*(23*x^2 - 10)*log(-2*(I*tan(x) - 1)/(tan(x)^2 + 1)) + 1/10*(23*x^2 - 10)*log(-2*(-I*tan(x) - 1)/(tan(x)^2 + 1)) + 1/10*(10*x^3 - 19*x)*tan(x) + 23/20*polylog(3, (tan(x)^2 + 2*I*tan(x) - 1)/(tan(x)^2 + 1)) + 23/20*polylog(3, (tan(x)^2 - 2*I*tan(x) - 1)/(tan(x)^2 + 1))","C",0
130,1,21,0,1.184305," ","integrate(x*tan(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x \tan\left(x\right) + \frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*x^2 + x*tan(x) + 1/2*log(1/(tan(x)^2 + 1))","A",0
131,1,13,0,1.286892," ","integrate(cos(3*x)*sin(2*x),x, algorithm=""fricas"")","-\frac{8}{5} \, \cos\left(x\right)^{5} + 2 \, \cos\left(x\right)^{3}"," ",0,"-8/5*cos(x)^5 + 2*cos(x)^3","A",0
132,1,19,0,0.719528," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(2 \, \cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{8} \, x"," ",0,"-1/8*(2*cos(x)^3 - cos(x))*sin(x) + 1/8*x","A",0
133,1,18,0,1.174842," ","integrate(1/cos(x)^2/sin(x)^2,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{2} - 1}{\cos\left(x\right) \sin\left(x\right)}"," ",0,"-(2*cos(x)^2 - 1)/(cos(x)*sin(x))","B",0
134,1,22,0,1.456738," ","integrate(d^x*sin(x),x, algorithm=""fricas"")","\frac{{\left(\log\left(d\right) \sin\left(x\right) - \cos\left(x\right)\right)} d^{x}}{\log\left(d\right)^{2} + 1}"," ",0,"(log(d)*sin(x) - cos(x))*d^x/(log(d)^2 + 1)","A",0
135,1,20,0,0.770961," ","integrate(d^x*cos(x),x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right) \log\left(d\right) + \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{2} + 1}"," ",0,"(cos(x)*log(d) + sin(x))*d^x/(log(d)^2 + 1)","A",0
136,1,60,0,1.098682," ","integrate(d^x*x*sin(x),x, algorithm=""fricas"")","-\frac{{\left(x \cos\left(x\right) \log\left(d\right)^{2} + x \cos\left(x\right) - 2 \, \cos\left(x\right) \log\left(d\right) - {\left(x \log\left(d\right)^{3} + x \log\left(d\right) - \log\left(d\right)^{2} + 1\right)} \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1}"," ",0,"-(x*cos(x)*log(d)^2 + x*cos(x) - 2*cos(x)*log(d) - (x*log(d)^3 + x*log(d) - log(d)^2 + 1)*sin(x))*d^x/(log(d)^4 + 2*log(d)^2 + 1)","A",0
137,1,58,0,1.008139," ","integrate(d^x*x*cos(x),x, algorithm=""fricas"")","\frac{{\left(x \cos\left(x\right) \log\left(d\right)^{3} + x \cos\left(x\right) \log\left(d\right) - \cos\left(x\right) \log\left(d\right)^{2} + {\left(x \log\left(d\right)^{2} + x - 2 \, \log\left(d\right)\right)} \sin\left(x\right) + \cos\left(x\right)\right)} d^{x}}{\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1}"," ",0,"(x*cos(x)*log(d)^3 + x*cos(x)*log(d) - cos(x)*log(d)^2 + (x*log(d)^2 + x - 2*log(d))*sin(x) + cos(x))*d^x/(log(d)^4 + 2*log(d)^2 + 1)","A",0
138,1,115,0,0.796250," ","integrate(d^x*x^2*sin(x),x, algorithm=""fricas"")","-\frac{{\left(x^{2} \cos\left(x\right) \log\left(d\right)^{4} - 4 \, x \cos\left(x\right) \log\left(d\right)^{3} + 2 \, {\left(x^{2} + 3\right)} \cos\left(x\right) \log\left(d\right)^{2} - 4 \, x \cos\left(x\right) \log\left(d\right) + {\left(x^{2} - 2\right)} \cos\left(x\right) - {\left(x^{2} \log\left(d\right)^{5} - 2 \, x \log\left(d\right)^{4} + 2 \, {\left(x^{2} + 1\right)} \log\left(d\right)^{3} + {\left(x^{2} - 6\right)} \log\left(d\right) + 2 \, x\right)} \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1}"," ",0,"-(x^2*cos(x)*log(d)^4 - 4*x*cos(x)*log(d)^3 + 2*(x^2 + 3)*cos(x)*log(d)^2 - 4*x*cos(x)*log(d) + (x^2 - 2)*cos(x) - (x^2*log(d)^5 - 2*x*log(d)^4 + 2*(x^2 + 1)*log(d)^3 + (x^2 - 6)*log(d) + 2*x)*sin(x))*d^x/(log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)","A",0
139,1,111,0,1.468639," ","integrate(d^x*x^2*cos(x),x, algorithm=""fricas"")","\frac{{\left(x^{2} \cos\left(x\right) \log\left(d\right)^{5} - 2 \, x \cos\left(x\right) \log\left(d\right)^{4} + 2 \, {\left(x^{2} + 1\right)} \cos\left(x\right) \log\left(d\right)^{3} + {\left(x^{2} - 6\right)} \cos\left(x\right) \log\left(d\right) + 2 \, x \cos\left(x\right) + {\left(x^{2} \log\left(d\right)^{4} - 4 \, x \log\left(d\right)^{3} + 2 \, {\left(x^{2} + 3\right)} \log\left(d\right)^{2} + x^{2} - 4 \, x \log\left(d\right) - 2\right)} \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1}"," ",0,"(x^2*cos(x)*log(d)^5 - 2*x*cos(x)*log(d)^4 + 2*(x^2 + 1)*cos(x)*log(d)^3 + (x^2 - 6)*cos(x)*log(d) + 2*x*cos(x) + (x^2*log(d)^4 - 4*x*log(d)^3 + 2*(x^2 + 3)*log(d)^2 + x^2 - 4*x*log(d) - 2)*sin(x))*d^x/(log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)","A",0
140,1,203,0,0.627102," ","integrate(d^x*x^3*sin(x),x, algorithm=""fricas"")","-\frac{{\left(x^{3} \cos\left(x\right) \log\left(d\right)^{6} - 6 \, x^{2} \cos\left(x\right) \log\left(d\right)^{5} + 3 \, {\left(x^{3} + 6 \, x\right)} \cos\left(x\right) \log\left(d\right)^{4} - 12 \, {\left(x^{2} + 2\right)} \cos\left(x\right) \log\left(d\right)^{3} + 3 \, {\left(x^{3} + 4 \, x\right)} \cos\left(x\right) \log\left(d\right)^{2} - 6 \, {\left(x^{2} - 4\right)} \cos\left(x\right) \log\left(d\right) + {\left(x^{3} - 6 \, x\right)} \cos\left(x\right) - {\left(x^{3} \log\left(d\right)^{7} - 3 \, x^{2} \log\left(d\right)^{6} + 3 \, {\left(x^{3} + 2 \, x\right)} \log\left(d\right)^{5} - 3 \, {\left(x^{2} + 2\right)} \log\left(d\right)^{4} + 3 \, {\left(x^{3} - 4 \, x\right)} \log\left(d\right)^{3} + 3 \, {\left(x^{2} + 12\right)} \log\left(d\right)^{2} + 3 \, x^{2} + {\left(x^{3} - 18 \, x\right)} \log\left(d\right) - 6\right)} \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{8} + 4 \, \log\left(d\right)^{6} + 6 \, \log\left(d\right)^{4} + 4 \, \log\left(d\right)^{2} + 1}"," ",0,"-(x^3*cos(x)*log(d)^6 - 6*x^2*cos(x)*log(d)^5 + 3*(x^3 + 6*x)*cos(x)*log(d)^4 - 12*(x^2 + 2)*cos(x)*log(d)^3 + 3*(x^3 + 4*x)*cos(x)*log(d)^2 - 6*(x^2 - 4)*cos(x)*log(d) + (x^3 - 6*x)*cos(x) - (x^3*log(d)^7 - 3*x^2*log(d)^6 + 3*(x^3 + 2*x)*log(d)^5 - 3*(x^2 + 2)*log(d)^4 + 3*(x^3 - 4*x)*log(d)^3 + 3*(x^2 + 12)*log(d)^2 + 3*x^2 + (x^3 - 18*x)*log(d) - 6)*sin(x))*d^x/(log(d)^8 + 4*log(d)^6 + 6*log(d)^4 + 4*log(d)^2 + 1)","A",0
141,1,202,0,0.664480," ","integrate(d^x*x^3*cos(x),x, algorithm=""fricas"")","\frac{{\left(x^{3} \cos\left(x\right) \log\left(d\right)^{7} - 3 \, x^{2} \cos\left(x\right) \log\left(d\right)^{6} + 3 \, {\left(x^{3} + 2 \, x\right)} \cos\left(x\right) \log\left(d\right)^{5} - 3 \, {\left(x^{2} + 2\right)} \cos\left(x\right) \log\left(d\right)^{4} + 3 \, {\left(x^{3} - 4 \, x\right)} \cos\left(x\right) \log\left(d\right)^{3} + 3 \, {\left(x^{2} + 12\right)} \cos\left(x\right) \log\left(d\right)^{2} + {\left(x^{3} - 18 \, x\right)} \cos\left(x\right) \log\left(d\right) + 3 \, {\left(x^{2} - 2\right)} \cos\left(x\right) + {\left(x^{3} \log\left(d\right)^{6} - 6 \, x^{2} \log\left(d\right)^{5} + 3 \, {\left(x^{3} + 6 \, x\right)} \log\left(d\right)^{4} - 12 \, {\left(x^{2} + 2\right)} \log\left(d\right)^{3} + x^{3} + 3 \, {\left(x^{3} + 4 \, x\right)} \log\left(d\right)^{2} - 6 \, {\left(x^{2} - 4\right)} \log\left(d\right) - 6 \, x\right)} \sin\left(x\right)\right)} d^{x}}{\log\left(d\right)^{8} + 4 \, \log\left(d\right)^{6} + 6 \, \log\left(d\right)^{4} + 4 \, \log\left(d\right)^{2} + 1}"," ",0,"(x^3*cos(x)*log(d)^7 - 3*x^2*cos(x)*log(d)^6 + 3*(x^3 + 2*x)*cos(x)*log(d)^5 - 3*(x^2 + 2)*cos(x)*log(d)^4 + 3*(x^3 - 4*x)*cos(x)*log(d)^3 + 3*(x^2 + 12)*cos(x)*log(d)^2 + (x^3 - 18*x)*cos(x)*log(d) + 3*(x^2 - 2)*cos(x) + (x^3*log(d)^6 - 6*x^2*log(d)^5 + 3*(x^3 + 6*x)*log(d)^4 - 12*(x^2 + 2)*log(d)^3 + x^3 + 3*(x^3 + 4*x)*log(d)^2 - 6*(x^2 - 4)*log(d) - 6*x)*sin(x))*d^x/(log(d)^8 + 4*log(d)^6 + 6*log(d)^4 + 4*log(d)^2 + 1)","A",0
142,1,17,0,1.257560," ","integrate(sin(x)*sin(2*x)*sin(3*x),x, algorithm=""fricas"")","\frac{4}{3} \, \cos\left(x\right)^{6} - \frac{5}{2} \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2}"," ",0,"4/3*cos(x)^6 - 5/2*cos(x)^4 + cos(x)^2","A",0
143,1,25,0,0.928298," ","integrate(cos(x)*cos(2*x)*cos(3*x),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(16 \, \cos\left(x\right)^{5} - 10 \, \cos\left(x\right)^{3} + 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{4} \, x"," ",0,"1/12*(16*cos(x)^5 - 10*cos(x)^3 + 3*cos(x))*sin(x) + 1/4*x","A",0
144,1,59,0,0.830830," ","integrate(x^2*sin(k*x)^3,x, algorithm=""fricas"")","\frac{{\left(9 \, k^{2} x^{2} - 2\right)} \cos\left(k x\right)^{3} - 3 \, {\left(9 \, k^{2} x^{2} - 14\right)} \cos\left(k x\right) - 6 \, {\left(k x \cos\left(k x\right)^{2} - 7 \, k x\right)} \sin\left(k x\right)}{27 \, k^{3}}"," ",0,"1/27*((9*k^2*x^2 - 2)*cos(k*x)^3 - 3*(9*k^2*x^2 - 14)*cos(k*x) - 6*(k*x*cos(k*x)^2 - 7*k*x)*sin(k*x))/k^3","A",0
145,0,0,0,0.895051," ","integrate(x*cos(x)*cos(k/sin(x))/sin(x)^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{x \cos\left(x\right) \cos\left(\frac{k}{\sin\left(x\right)}\right)}{\cos\left(x\right)^{2} - 1}, x\right)"," ",0,"integral(-x*cos(x)*cos(k/sin(x))/(cos(x)^2 - 1), x)","F",0
146,1,16,0,1.071678," ","integrate(cos(x)/sin(x)/tan(1/2*x),x, algorithm=""fricas"")","-\frac{x \tan\left(\frac{1}{2} \, x\right) + 1}{\tan\left(\frac{1}{2} \, x\right)}"," ",0,"-(x*tan(1/2*x) + 1)/tan(1/2*x)","A",0
147,1,312,0,1.057635," ","integrate(sin(a*x)/(b+c*sin(a*x))^2,x, algorithm=""fricas"")","\left[\frac{{\left(c^{2} \sin\left(a x\right) + b c\right)} \sqrt{-b^{2} + c^{2}} \log\left(\frac{{\left(2 \, b^{2} - c^{2}\right)} \cos\left(a x\right)^{2} - 2 \, b c \sin\left(a x\right) - b^{2} - c^{2} + 2 \, {\left(b \cos\left(a x\right) \sin\left(a x\right) + c \cos\left(a x\right)\right)} \sqrt{-b^{2} + c^{2}}}{c^{2} \cos\left(a x\right)^{2} - 2 \, b c \sin\left(a x\right) - b^{2} - c^{2}}\right) - 2 \, {\left(b^{3} - b c^{2}\right)} \cos\left(a x\right)}{2 \, {\left(a b^{5} - 2 \, a b^{3} c^{2} + a b c^{4} + {\left(a b^{4} c - 2 \, a b^{2} c^{3} + a c^{5}\right)} \sin\left(a x\right)\right)}}, \frac{{\left(c^{2} \sin\left(a x\right) + b c\right)} \sqrt{b^{2} - c^{2}} \arctan\left(-\frac{b \sin\left(a x\right) + c}{\sqrt{b^{2} - c^{2}} \cos\left(a x\right)}\right) - {\left(b^{3} - b c^{2}\right)} \cos\left(a x\right)}{a b^{5} - 2 \, a b^{3} c^{2} + a b c^{4} + {\left(a b^{4} c - 2 \, a b^{2} c^{3} + a c^{5}\right)} \sin\left(a x\right)}\right]"," ",0,"[1/2*((c^2*sin(a*x) + b*c)*sqrt(-b^2 + c^2)*log(((2*b^2 - c^2)*cos(a*x)^2 - 2*b*c*sin(a*x) - b^2 - c^2 + 2*(b*cos(a*x)*sin(a*x) + c*cos(a*x))*sqrt(-b^2 + c^2))/(c^2*cos(a*x)^2 - 2*b*c*sin(a*x) - b^2 - c^2)) - 2*(b^3 - b*c^2)*cos(a*x))/(a*b^5 - 2*a*b^3*c^2 + a*b*c^4 + (a*b^4*c - 2*a*b^2*c^3 + a*c^5)*sin(a*x)), ((c^2*sin(a*x) + b*c)*sqrt(b^2 - c^2)*arctan(-(b*sin(a*x) + c)/(sqrt(b^2 - c^2)*cos(a*x))) - (b^3 - b*c^2)*cos(a*x))/(a*b^5 - 2*a*b^3*c^2 + a*b*c^4 + (a*b^4*c - 2*a*b^2*c^3 + a*c^5)*sin(a*x))]","A",0
148,1,13,0,1.007904," ","integrate(sin(log(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"-1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
149,1,13,0,0.953822," ","integrate(cos(log(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
150,1,2,0,0.881910," ","integrate(exp(x),x, algorithm=""fricas"")","e^{x}"," ",0,"e^x","A",0
151,1,8,0,0.976437," ","integrate(a^x,x, algorithm=""fricas"")","\frac{a^{x}}{\log\left(a\right)}"," ",0,"a^x/log(a)","A",0
152,1,8,0,0.811987," ","integrate(exp(a*x),x, algorithm=""fricas"")","\frac{e^{\left(a x\right)}}{a}"," ",0,"e^(a*x)/a","A",0
153,1,4,0,0.893555," ","integrate(exp(a*x)/x,x, algorithm=""fricas"")","{\rm Ei}\left(a x\right)"," ",0,"Ei(a*x)","A",0
154,1,22,0,1.034773," ","integrate(1/(a+b*exp(m*x)),x, algorithm=""fricas"")","\frac{m x - \log\left(b e^{\left(m x\right)} + a\right)}{a m}"," ",0,"(m*x - log(b*e^(m*x) + a))/(a*m)","A",0
155,1,10,0,1.112232," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""fricas"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
156,1,12,0,0.963075," ","integrate(exp(a*x+2*x),x, algorithm=""fricas"")","\frac{e^{\left({\left(a + 2\right)} x\right)}}{a + 2}"," ",0,"e^((a + 2)*x)/(a + 2)","A",0
157,1,85,0,0.753532," ","integrate(1/(b/exp(m*x)+a*exp(m*x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{a e^{\left(2 \, m x\right)} - 2 \, \sqrt{-a b} e^{\left(m x\right)} - b}{a e^{\left(2 \, m x\right)} + b}\right)}{2 \, a b m}, -\frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} e^{\left(-m x\right)}}{a}\right)}{a b m}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((a*e^(2*m*x) - 2*sqrt(-a*b)*e^(m*x) - b)/(a*e^(2*m*x) + b))/(a*b*m), -sqrt(a*b)*arctan(sqrt(a*b)*e^(-m*x)/a)/(a*b*m)]","A",0
158,1,13,0,0.951364," ","integrate(exp(a*x)*x,x, algorithm=""fricas"")","\frac{{\left(a x - 1\right)} e^{\left(a x\right)}}{a^{2}}"," ",0,"(a*x - 1)*e^(a*x)/a^2","A",0
159,1,101,0,0.963636," ","integrate(exp(x)*x^20,x, algorithm=""fricas"")","{\left(x^{20} - 20 \, x^{19} + 380 \, x^{18} - 6840 \, x^{17} + 116280 \, x^{16} - 1860480 \, x^{15} + 27907200 \, x^{14} - 390700800 \, x^{13} + 5079110400 \, x^{12} - 60949324800 \, x^{11} + 670442572800 \, x^{10} - 6704425728000 \, x^{9} + 60339831552000 \, x^{8} - 482718652416000 \, x^{7} + 3379030566912000 \, x^{6} - 20274183401472000 \, x^{5} + 101370917007360000 \, x^{4} - 405483668029440000 \, x^{3} + 1216451004088320000 \, x^{2} - 2432902008176640000 \, x + 2432902008176640000\right)} e^{x}"," ",0,"(x^20 - 20*x^19 + 380*x^18 - 6840*x^17 + 116280*x^16 - 1860480*x^15 + 27907200*x^14 - 390700800*x^13 + 5079110400*x^12 - 60949324800*x^11 + 670442572800*x^10 - 6704425728000*x^9 + 60339831552000*x^8 - 482718652416000*x^7 + 3379030566912000*x^6 - 20274183401472000*x^5 + 101370917007360000*x^4 - 405483668029440000*x^3 + 1216451004088320000*x^2 - 2432902008176640000*x + 2432902008176640000)*e^x","A",0
160,1,18,0,0.930257," ","integrate(a^x/(b^x),x, algorithm=""fricas"")","\frac{a^{x}}{b^{x} {\left(\log\left(a\right) - \log\left(b\right)\right)}}"," ",0,"a^x/(b^x*(log(a) - log(b)))","A",0
161,1,14,0,0.771108," ","integrate(a^x*b^x,x, algorithm=""fricas"")","\frac{a^{x} b^{x}}{\log\left(a\right) + \log\left(b\right)}"," ",0,"a^x*b^x/(log(a) + log(b))","A",0
162,1,19,0,0.588750," ","integrate(a^x/x^2,x, algorithm=""fricas"")","\frac{x {\rm Ei}\left(x \log\left(a\right)\right) \log\left(a\right) - a^{x}}{x}"," ",0,"(x*Ei(x*log(a))*log(a) - a^x)/x","A",0
163,1,54,0,0.586330," ","integrate(a^x*x/(b*x+1)^2,x, algorithm=""fricas"")","\frac{a^{x} b + \frac{{\left(b^{2} x - {\left(b x + 1\right)} \log\left(a\right) + b\right)} {\rm Ei}\left(\frac{{\left(b x + 1\right)} \log\left(a\right)}{b}\right)}{a^{\left(\frac{1}{b}\right)}}}{b^{4} x + b^{3}}"," ",0,"(a^x*b + (b^2*x - (b*x + 1)*log(a) + b)*Ei((b*x + 1)*log(a)/b)/a^(1/b))/(b^4*x + b^3)","A",0
164,1,16,0,0.585573," ","integrate(exp(a*x)*x/(a*x+1)^2,x, algorithm=""fricas"")","\frac{e^{\left(a x\right)}}{a^{3} x + a^{2}}"," ",0,"e^(a*x)/(a^3*x + a^2)","A",0
165,1,11,0,0.993124," ","integrate(k^(x^2)*x,x, algorithm=""fricas"")","\frac{k^{\left(x^{2}\right)}}{2 \, \log\left(k\right)}"," ",0,"1/2*k^(x^2)/log(k)","A",0
166,1,7,0,0.751333," ","integrate(exp(x^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\pi} \operatorname{erfi}\left(x\right)"," ",0,"1/2*sqrt(pi)*erfi(x)","A",0
167,1,6,0,0.980483," ","integrate(exp(x^2)*x,x, algorithm=""fricas"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
168,1,17,0,0.938338," ","integrate(exp(1/x)*(1+x)/x^4,x, algorithm=""fricas"")","-\frac{{\left(x^{2} - x + 1\right)} e^{\frac{1}{x}}}{x^{2}}"," ",0,"-(x^2 - x + 1)*e^(1/x)/x^2","A",0
169,1,36,0,1.334163," ","integrate(exp(1-exp(x^2)*x+2*x^2)*(2*x^3+x)/(1-exp(x^2)*x)^2,x, algorithm=""fricas"")","-\frac{e^{\left(2 \, x^{2} - x e^{\left(x^{2}\right)} + 1\right)}}{x e^{\left(3 \, x^{2}\right)} - e^{\left(2 \, x^{2}\right)}}"," ",0,"-e^(2*x^2 - x*e^(x^2) + 1)/(x*e^(3*x^2) - e^(2*x^2))","A",0
170,0,0,0,0.673053," ","integrate(exp(exp(exp(exp(x)))),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(e^{\left(e^{\left(e^{x}\right)}\right)}\right)}, x\right)"," ",0,"integral(e^(e^(e^(e^x))), x)","F",0
171,1,10,0,0.910916," ","integrate(exp(x)*log(x),x, algorithm=""fricas"")","e^{x} \log\left(x\right) - {\rm Ei}\left(x\right)"," ",0,"e^x*log(x) - Ei(x)","A",0
172,1,15,0,0.798994," ","integrate(exp(x)*x*log(x),x, algorithm=""fricas"")","{\left(x - 1\right)} e^{x} \log\left(x\right) + {\rm Ei}\left(x\right) - e^{x}"," ",0,"(x - 1)*e^x*log(x) + Ei(x) - e^x","A",0
173,1,11,0,0.752196," ","integrate(exp(2*x)*log(exp(x)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"1/4*(2*x - 1)*e^(2*x)","A",0
174,-2,0,0,0.000000," ","integrate(2*x+x^2*2^(1/2),x, algorithm=""fricas"")","\text{Exception raised: SyntaxError}"," ",0,"Exception raised: SyntaxError >> Malformed expression","F(-2)",0
175,1,89,0,0.953253," ","integrate(log(x)/(a*x+b)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(\sqrt{a x + b} {\left(\log\left(x\right) - 2\right)} + \sqrt{b} \log\left(\frac{a x + 2 \, \sqrt{a x + b} \sqrt{b} + 2 \, b}{x}\right)\right)}}{a}, \frac{2 \, {\left(\sqrt{a x + b} {\left(\log\left(x\right) - 2\right)} - 2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{a x + b} \sqrt{-b}}{b}\right)\right)}}{a}\right]"," ",0,"[2*(sqrt(a*x + b)*(log(x) - 2) + sqrt(b)*log((a*x + 2*sqrt(a*x + b)*sqrt(b) + 2*b)/x))/a, 2*(sqrt(a*x + b)*(log(x) - 2) - 2*sqrt(-b)*arctan(sqrt(a*x + b)*sqrt(-b)/b))/a]","A",0
176,1,300,0,0.912462," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{b d} \log\left(8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left(2 \, b d x + b c + a d\right)} \sqrt{b d} \sqrt{b x + a} \sqrt{d x + c} + 8 \, {\left(b^{2} c d + a b d^{2}\right)} x\right) + 4 \, {\left(2 \, b^{2} d^{2} x + b^{2} c d + a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{16 \, b^{2} d^{2}}, \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \sqrt{-b d} \arctan\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d} \sqrt{b x + a} \sqrt{d x + c}}{2 \, {\left(b^{2} d^{2} x^{2} + a b c d + {\left(b^{2} c d + a b d^{2}\right)} x\right)}}\right) + 2 \, {\left(2 \, b^{2} d^{2} x + b^{2} c d + a b d^{2}\right)} \sqrt{b x + a} \sqrt{d x + c}}{8 \, b^{2} d^{2}}\right]"," ",0,"[1/16*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(b*d)*log(8*b^2*d^2*x^2 + b^2*c^2 + 6*a*b*c*d + a^2*d^2 - 4*(2*b*d*x + b*c + a*d)*sqrt(b*d)*sqrt(b*x + a)*sqrt(d*x + c) + 8*(b^2*c*d + a*b*d^2)*x) + 4*(2*b^2*d^2*x + b^2*c*d + a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^2), 1/8*((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*sqrt(-b*d)*arctan(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)*sqrt(b*x + a)*sqrt(d*x + c)/(b^2*d^2*x^2 + a*b*c*d + (b^2*c*d + a*b*d^2)*x)) + 2*(2*b^2*d^2*x + b^2*c*d + a*b*d^2)*sqrt(b*x + a)*sqrt(d*x + c))/(b^2*d^2)]","A",0
177,1,12,0,0.812899," ","integrate((b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
178,1,30,0,0.872246," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} + a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{15 \, b^{2}}"," ",0,"2/15*(3*b^2*x^2 + a*b*x - 2*a^2)*sqrt(b*x + a)/b^2","A",0
179,1,42,0,0.936362," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{105 \, b^{3}}"," ",0,"2/105*(15*b^3*x^3 + 3*a*b^2*x^2 - 4*a^2*b*x + 8*a^3)*sqrt(b*x + a)/b^3","A",0
180,1,73,0,0.849601," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""fricas"")","\left[\sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) + 2 \, \sqrt{b x + a}, 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + 2 \, \sqrt{b x + a}\right]"," ",0,"[sqrt(a)*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) + 2*sqrt(b*x + a), 2*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a) + 2*sqrt(b*x + a)]","A",0
181,1,93,0,0.904420," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x \log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, \sqrt{b x + a} a}{2 \, a x}, \frac{\sqrt{-a} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) - \sqrt{b x + a} a}{a x}\right]"," ",0,"[1/2*(sqrt(a)*b*x*log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*sqrt(b*x + a)*a)/(a*x), (sqrt(-a)*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) - sqrt(b*x + a)*a)/(a*x)]","A",0
182,1,12,0,0.878704," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
183,1,19,0,0.879254," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + a} {\left(b x - 2 \, a\right)}}{3 \, b^{2}}"," ",0,"2/3*sqrt(b*x + a)*(b*x - 2*a)/b^2","A",0
184,1,31,0,0.708062," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} - 4 \, a b x + 8 \, a^{2}\right)} \sqrt{b x + a}}{15 \, b^{3}}"," ",0,"2/15*(3*b^2*x^2 - 4*a*b*x + 8*a^2)*sqrt(b*x + a)/b^3","A",0
185,1,56,0,0.769668," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x - 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right)}{\sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right)}{a}\right]"," ",0,"[log((b*x - 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x)/sqrt(a), 2*sqrt(-a)*arctan(sqrt(b*x + a)*sqrt(-a)/a)/a]","A",0
186,1,93,0,0.916283," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x \log\left(\frac{b x + 2 \, \sqrt{b x + a} \sqrt{a} + 2 \, a}{x}\right) - 2 \, \sqrt{b x + a} a}{2 \, a^{2} x}, -\frac{\sqrt{-a} b x \arctan\left(\frac{\sqrt{b x + a} \sqrt{-a}}{a}\right) + \sqrt{b x + a} a}{a^{2} x}\right]"," ",0,"[1/2*(sqrt(a)*b*x*log((b*x + 2*sqrt(b*x + a)*sqrt(a) + 2*a)/x) - 2*sqrt(b*x + a)*a)/(a^2*x), -(sqrt(-a)*b*x*arctan(sqrt(b*x + a)*sqrt(-a)/a) + sqrt(b*x + a)*a)/(a^2*x)]","A",0
187,1,25,0,1.044928," ","integrate(((b*x+a)^(1/2))^p,x, algorithm=""fricas"")","\frac{2 \, {\left(b x + a\right)} \sqrt{b x + a}^{p}}{b p + 2 \, b}"," ",0,"2*(b*x + a)*sqrt(b*x + a)^p/(b*p + 2*b)","A",0
188,1,58,0,0.949950," ","integrate(x*((b*x+a)^(1/2))^p,x, algorithm=""fricas"")","\frac{2 \, {\left(a b p x + {\left(b^{2} p + 2 \, b^{2}\right)} x^{2} - 2 \, a^{2}\right)} \sqrt{b x + a}^{p}}{b^{2} p^{2} + 6 \, b^{2} p + 8 \, b^{2}}"," ",0,"2*(a*b*p*x + (b^2*p + 2*b^2)*x^2 - 2*a^2)*sqrt(b*x + a)^p/(b^2*p^2 + 6*b^2*p + 8*b^2)","A",0
189,1,37,0,1.178674," ","integrate(arctan(1/2*(2*x-2^(1/2))*2^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x - \sqrt{2}\right)} \arctan\left(\sqrt{2} x - 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/2*(2*x - sqrt(2))*arctan(sqrt(2)*x - 1) - 1/4*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
190,1,14,0,1.207330," ","integrate(1/(x^2-1)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} - 1}\right)"," ",0,"-log(-x + sqrt(x^2 - 1))","A",0
191,1,34,0,0.606546," ","integrate(x^(1/2)*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x + 1\right)} \sqrt{x + 1} \sqrt{x} + \frac{1}{8} \, \log\left(2 \, \sqrt{x + 1} \sqrt{x} - 2 \, x - 1\right)"," ",0,"1/4*(2*x + 1)*sqrt(x + 1)*sqrt(x) + 1/8*log(2*sqrt(x + 1)*sqrt(x) - 2*x - 1)","A",0
192,1,16,0,1.130618," ","integrate(sin(x^(1/2)),x, algorithm=""fricas"")","-2 \, \sqrt{x} \cos\left(\sqrt{x}\right) + 2 \, \sin\left(\sqrt{x}\right)"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
193,1,18,0,0.653875," ","integrate(x/(-x^2+1)^(9/8),x, algorithm=""fricas"")","-\frac{4 \, {\left(-x^{2} + 1\right)}^{\frac{7}{8}}}{x^{2} - 1}"," ",0,"-4*(-x^2 + 1)^(7/8)/(x^2 - 1)","A",0
194,1,18,0,0.868474," ","integrate(x/(-x^4+1)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-x^{4} + 1} - 1}{x^{2}}\right)"," ",0,"-arctan((sqrt(-x^4 + 1) - 1)/x^2)","B",0
195,1,25,0,1.164148," ","integrate(1/x/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","B",0
196,1,22,0,0.692358," ","integrate(x/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-2 \, x^{2} + 2 \, \sqrt{x^{4} + x^{2} + 1} - 1\right)"," ",0,"-1/2*log(-2*x^2 + 2*sqrt(x^4 + x^2 + 1) - 1)","A",0
197,1,55,0,0.860308," ","integrate(1/x/(-x^4+x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} i \, \log\left(\frac{x^{2} + 2 i \, \sqrt{-x^{4} + x^{2} - 1} - 2}{2 \, x^{2}}\right) - \frac{1}{4} i \, \log\left(\frac{x^{2} - 2 i \, \sqrt{-x^{4} + x^{2} - 1} - 2}{2 \, x^{2}}\right)"," ",0,"1/4*I*log(1/2*(x^2 + 2*I*sqrt(-x^4 + x^2 - 1) - 2)/x^2) - 1/4*I*log(1/2*(x^2 - 2*I*sqrt(-x^4 + x^2 - 1) - 2)/x^2)","C",0
198,1,17,0,0.650675," ","integrate((1+x)/(1-x)^2/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{x + \sqrt{x^{2} + 1} - 1}{x - 1}"," ",0,"-(x + sqrt(x^2 + 1) - 1)/(x - 1)","A",0
199,1,14,0,0.833245," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"-log(-x + sqrt(x^2 + 1))","B",0
200,1,14,0,0.692034," ","integrate(1/2*(x^(1/2)*(1+x)^(1/2)+x^(1/2)*(2+x)^(1/2)+(1+x)^(1/2)*(2+x)^(1/2))/x^(1/2)/(1+x)^(1/2)/(2+x)^(1/2),x, algorithm=""fricas"")","\sqrt{x + 2} + \sqrt{x + 1} + \sqrt{x}"," ",0,"sqrt(x + 2) + sqrt(x + 1) + sqrt(x)","A",0
201,1,20,0,0.980302," ","integrate(1/2*(-2*(x^3+1)^(1/2)+5*x^4*(x^3+1)^(1/2)-3*x^2*(x^5-2*x+1)^(1/2))/(x^3+1)^(1/2)/(x^5-2*x+1)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{5} - 2 \, x + 1} - \sqrt{x^{3} + 1}"," ",0,"sqrt(x^5 - 2*x + 1) - sqrt(x^3 + 1)","A",0
202,1,29,0,0.923820," ","integrate(10/(x^2-4)^(1/2)+1/(x^2-1)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} - 1}\right) - 10 \, \log\left(-x + \sqrt{x^{2} - 4}\right)"," ",0,"-log(-x + sqrt(x^2 - 1)) - 10*log(-x + sqrt(x^2 - 4))","A",0
203,1,216,0,0.710297," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\left[-2 \, \sqrt{a} \arctan\left(\frac{\sqrt{x + \sqrt{a^{2} + x^{2}}}}{\sqrt{a}}\right) + \sqrt{a} \log\left(\frac{a^{2} + \sqrt{a^{2} + x^{2}} a - {\left({\left(a - x\right)} \sqrt{a} + \sqrt{a^{2} + x^{2}} \sqrt{a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right) + 2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}, 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{a}\right) + \sqrt{-a} \log\left(-\frac{a^{2} - \sqrt{a^{2} + x^{2}} a + {\left(\sqrt{-a} {\left(a + x\right)} - \sqrt{a^{2} + x^{2}} \sqrt{-a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right) + 2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}\right]"," ",0,"[-2*sqrt(a)*arctan(sqrt(x + sqrt(a^2 + x^2))/sqrt(a)) + sqrt(a)*log((a^2 + sqrt(a^2 + x^2)*a - ((a - x)*sqrt(a) + sqrt(a^2 + x^2)*sqrt(a))*sqrt(x + sqrt(a^2 + x^2)))/x) + 2*sqrt(x + sqrt(a^2 + x^2)), 2*sqrt(-a)*arctan(sqrt(-a)*sqrt(x + sqrt(a^2 + x^2))/a) + sqrt(-a)*log(-(a^2 - sqrt(a^2 + x^2)*a + (sqrt(-a)*(a + x) - sqrt(a^2 + x^2)*sqrt(-a))*sqrt(x + sqrt(a^2 + x^2)))/x) + 2*sqrt(x + sqrt(a^2 + x^2))]","A",0
204,1,29,0,0.896737," ","integrate(3/2*x^2/(1+x^3+(x^3+1)^(1/2)),x, algorithm=""fricas"")","\frac{3}{2} \, \log\left(x\right) + \frac{1}{2} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"3/2*log(x) + 1/2*log(sqrt(x^3 + 1) + 1) - 1/2*log(sqrt(x^3 + 1) - 1)","B",0
205,1,85,0,0.816118," ","integrate(1/(2*h*r^2-alpha^2)^(1/2),r, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(4 \, h r^{2} + 2 \, \sqrt{2} \sqrt{2 \, h r^{2} - \alpha^{2}} \sqrt{h} r - \alpha^{2}\right)}{4 \, \sqrt{h}}, -\frac{1}{2} \, \sqrt{2} \sqrt{-\frac{1}{h}} \arctan\left(\frac{\sqrt{2} h r \sqrt{-\frac{1}{h}}}{\sqrt{2 \, h r^{2} - \alpha^{2}}}\right)\right]"," ",0,"[1/4*sqrt(2)*log(4*h*r^2 + 2*sqrt(2)*sqrt(2*h*r^2 - alpha^2)*sqrt(h)*r - alpha^2)/sqrt(h), -1/2*sqrt(2)*sqrt(-1/h)*arctan(sqrt(2)*h*r*sqrt(-1/h)/sqrt(2*h*r^2 - alpha^2))]","A",0
206,1,41,0,0.741456," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{\alpha^{2} + \epsilon^{2}}}{\sqrt{2 \, h r^{2} - \alpha^{2} - \epsilon^{2}}}\right)}{\sqrt{\alpha^{2} + \epsilon^{2}}}"," ",0,"-arctan(sqrt(alpha^2 + epsilon^2)/sqrt(2*h*r^2 - alpha^2 - epsilon^2))/sqrt(alpha^2 + epsilon^2)","A",0
207,1,52,0,0.976055," ","integrate(1/r/(2*h*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{2 \, h r^{2} - \alpha^{2} - 2 \, k r} {\left(\alpha^{2} + k r\right)}}{2 \, \alpha h r^{2} - \alpha^{3} - 2 \, \alpha k r}\right)}{\alpha}"," ",0,"-arctan(sqrt(2*h*r^2 - alpha^2 - 2*k*r)*(alpha^2 + k*r)/(2*alpha*h*r^2 - alpha^3 - 2*alpha*k*r))/alpha","A",0
208,1,97,0,0.695629," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2-2*k*r)^(1/2),r, algorithm=""fricas"")","-\frac{\arctan\left(-\frac{\sqrt{2 \, h r^{2} - \alpha^{2} - \epsilon^{2} - 2 \, k r} {\left(\alpha^{2} + \epsilon^{2} + k r\right)} \sqrt{\alpha^{2} + \epsilon^{2}}}{\alpha^{4} + 2 \, \alpha^{2} \epsilon^{2} + \epsilon^{4} - 2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} h r^{2} + 2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} k r}\right)}{\sqrt{\alpha^{2} + \epsilon^{2}}}"," ",0,"-arctan(-sqrt(2*h*r^2 - alpha^2 - epsilon^2 - 2*k*r)*(alpha^2 + epsilon^2 + k*r)*sqrt(alpha^2 + epsilon^2)/(alpha^4 + 2*alpha^2*epsilon^2 + epsilon^4 - 2*(alpha^2 + epsilon^2)*h*r^2 + 2*(alpha^2 + epsilon^2)*k*r))/sqrt(alpha^2 + epsilon^2)","A",0
209,1,19,0,0.733080," ","integrate(r/(2*e*r^2-alpha^2)^(1/2),r, algorithm=""fricas"")","\frac{\sqrt{2 \, e r^{2} - \alpha^{2}}}{2 \, e}"," ",0,"1/2*sqrt(2*e*r^2 - alpha^2)/e","A",0
210,1,24,0,0.706470," ","integrate(r/(2*e*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""fricas"")","\frac{\sqrt{2 \, e r^{2} - \alpha^{2} - \epsilon^{2}}}{2 \, e}"," ",0,"1/2*sqrt(2*e*r^2 - alpha^2 - epsilon^2)/e","A",0
211,1,152,0,0.693234," ","integrate(r/(-2*k*r^4+2*e*r^2-alpha^2)^(1/2),r, algorithm=""fricas"")","\left[-\frac{\sqrt{2} \sqrt{-k} \log\left(-8 \, k^{2} r^{4} + 8 \, e k r^{2} - 2 \, \alpha^{2} k + 2 \, \sqrt{2} \sqrt{-2 \, k r^{4} + 2 \, e r^{2} - \alpha^{2}} {\left(2 \, k r^{2} - e\right)} \sqrt{-k} - e^{2}\right)}{8 \, k}, -\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{-2 \, k r^{4} + 2 \, e r^{2} - \alpha^{2}} {\left(2 \, k r^{2} - e\right)} \sqrt{k}}{2 \, {\left(2 \, k^{2} r^{4} - 2 \, e k r^{2} + \alpha^{2} k\right)}}\right)}{4 \, \sqrt{k}}\right]"," ",0,"[-1/8*sqrt(2)*sqrt(-k)*log(-8*k^2*r^4 + 8*e*k*r^2 - 2*alpha^2*k + 2*sqrt(2)*sqrt(-2*k*r^4 + 2*e*r^2 - alpha^2)*(2*k*r^2 - e)*sqrt(-k) - e^2)/k, -1/4*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-2*k*r^4 + 2*e*r^2 - alpha^2)*(2*k*r^2 - e)*sqrt(k)/(2*k^2*r^4 - 2*e*k*r^2 + alpha^2*k))/sqrt(k)]","A",0
212,1,190,0,0.854057," ","integrate(r/(2*e*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""fricas"")","\left[\frac{\sqrt{2} \sqrt{e} k \log\left(8 \, e^{2} r^{2} - 2 \, \alpha^{2} e - 8 \, e k r + 2 \, \sqrt{2} \sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r} {\left(2 \, e r - k\right)} \sqrt{e} + k^{2}\right) + 4 \, \sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r} e}{8 \, e^{2}}, -\frac{\sqrt{2} \sqrt{-e} k \arctan\left(\frac{\sqrt{2} \sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r} {\left(2 \, e r - k\right)} \sqrt{-e}}{2 \, {\left(2 \, e^{2} r^{2} - \alpha^{2} e - 2 \, e k r\right)}}\right) - 2 \, \sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r} e}{4 \, e^{2}}\right]"," ",0,"[1/8*(sqrt(2)*sqrt(e)*k*log(8*e^2*r^2 - 2*alpha^2*e - 8*e*k*r + 2*sqrt(2)*sqrt(2*e*r^2 - alpha^2 - 2*k*r)*(2*e*r - k)*sqrt(e) + k^2) + 4*sqrt(2*e*r^2 - alpha^2 - 2*k*r)*e)/e^2, -1/4*(sqrt(2)*sqrt(-e)*k*arctan(1/2*sqrt(2)*sqrt(2*e*r^2 - alpha^2 - 2*k*r)*(2*e*r - k)*sqrt(-e)/(2*e^2*r^2 - alpha^2*e - 2*e*k*r)) - 2*sqrt(2*e*r^2 - alpha^2 - 2*k*r)*e)/e^2]","A",0
213,1,58,0,0.943614," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2)^(1/2),r, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{-2 \, k r^{4} + 2 \, h r^{2} - \alpha^{2}} {\left(h r^{2} - \alpha^{2}\right)}}{2 \, \alpha k r^{4} - 2 \, \alpha h r^{2} + \alpha^{3}}\right)}{2 \, \alpha}"," ",0,"-1/2*arctan(sqrt(-2*k*r^4 + 2*h*r^2 - alpha^2)*(h*r^2 - alpha^2)/(2*alpha*k*r^4 - 2*alpha*h*r^2 + alpha^3))/alpha","A",0
214,1,106,0,0.979057," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\sqrt{-2 \, k r^{4} + 2 \, h r^{2} - \alpha^{2} - \epsilon^{2}} {\left(h r^{2} - \alpha^{2} - \epsilon^{2}\right)} \sqrt{\alpha^{2} + \epsilon^{2}}}{2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} k r^{4} + \alpha^{4} + 2 \, \alpha^{2} \epsilon^{2} + \epsilon^{4} - 2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} h r^{2}}\right)}{2 \, \sqrt{\alpha^{2} + \epsilon^{2}}}"," ",0,"-1/2*arctan(sqrt(-2*k*r^4 + 2*h*r^2 - alpha^2 - epsilon^2)*(h*r^2 - alpha^2 - epsilon^2)*sqrt(alpha^2 + epsilon^2)/(2*(alpha^2 + epsilon^2)*k*r^4 + alpha^4 + 2*alpha^2*epsilon^2 + epsilon^4 - 2*(alpha^2 + epsilon^2)*h*r^2))/sqrt(alpha^2 + epsilon^2)","A",0
215,1,22,0,0.846635," ","integrate(a*cos(5+3*x)*sin(5+3*x)^2,x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(a \cos\left(3 \, x + 5\right)^{2} - a\right)} \sin\left(3 \, x + 5\right)"," ",0,"-1/9*(a*cos(3*x + 5)^2 - a)*sin(3*x + 5)","A",0
216,1,11,0,0.958469," ","integrate(log(x^2)/x^3,x, algorithm=""fricas"")","-\frac{\log\left(x^{2}\right) + 1}{2 \, x^{2}}"," ",0,"-1/2*(log(x^2) + 1)/x^2","A",0
217,1,12,0,0.736151," ","integrate(x*sin(a+x),x, algorithm=""fricas"")","-x \cos\left(a + x\right) + \sin\left(a + x\right)"," ",0,"-x*cos(a + x) + sin(a + x)","A",0
218,1,10,0,0.743588," ","integrate((-1+(1-x)*log(x))/exp(x)/log(x)^2,x, algorithm=""fricas"")","\frac{x e^{\left(-x\right)}}{\log\left(x\right)}"," ",0,"x*e^(-x)/log(x)","A",0
219,1,22,0,0.767148," ","integrate(x^3/(a*x^2+b),x, algorithm=""fricas"")","\frac{a x^{2} - b \log\left(a x^{2} + b\right)}{2 \, a^{2}}"," ",0,"1/2*(a*x^2 - b*log(a*x^2 + b))/a^2","A",0
220,1,50,0,0.801534," ","integrate(x^(1/2)/(1+x)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, x^{3} + {\left(2 \, x^{2} + 5 \, x\right)} \sqrt{x + 1} \sqrt{x} + 6 \, x^{2} + 6 \, x + 2\right)}}{15 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}}"," ",0,"2/15*(2*x^3 + (2*x^2 + 5*x)*sqrt(x + 1)*sqrt(x) + 6*x^2 + 6*x + 2)/(x^3 + 3*x^2 + 3*x + 1)","B",0
221,1,9,0,0.783406," ","integrate(1/x/(1+x),x, algorithm=""fricas"")","-\log\left(x + 1\right) + \log\left(x\right)"," ",0,"-log(x + 1) + log(x)","A",0
222,1,28,0,0.900512," ","integrate(1/x^(1/2)/(-1+2*x),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} \sqrt{x} - 2 \, x - 1}{2 \, x - 1}\right)"," ",0,"1/2*sqrt(2)*log(-(2*sqrt(2)*sqrt(x) - 2*x - 1)/(2*x - 1))","B",0
223,1,14,0,1.078118," ","integrate(x^(1/2)*(x^2+1),x, algorithm=""fricas"")","\frac{2}{21} \, {\left(3 \, x^{3} + 7 \, x\right)} \sqrt{x}"," ",0,"2/21*(3*x^3 + 7*x)*sqrt(x)","A",0
224,1,104,0,0.653439," ","integrate((-a+x)^(1/3)/x,x, algorithm=""fricas"")","\sqrt{3} \left(-a\right)^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} a - 2 \, \sqrt{3} \left(-a\right)^{\frac{2}{3}} {\left(-a + x\right)}^{\frac{1}{3}}}{3 \, a}\right) - \frac{1}{2} \, \left(-a\right)^{\frac{1}{3}} \log\left(\left(-a\right)^{\frac{2}{3}} + \left(-a\right)^{\frac{1}{3}} {\left(-a + x\right)}^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{2}{3}}\right) + \left(-a\right)^{\frac{1}{3}} \log\left(-\left(-a\right)^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{1}{3}}\right) + 3 \, {\left(-a + x\right)}^{\frac{1}{3}}"," ",0,"sqrt(3)*(-a)^(1/3)*arctan(-1/3*(sqrt(3)*a - 2*sqrt(3)*(-a)^(2/3)*(-a + x)^(1/3))/a) - 1/2*(-a)^(1/3)*log((-a)^(2/3) + (-a)^(1/3)*(-a + x)^(1/3) + (-a + x)^(2/3)) + (-a)^(1/3)*log(-(-a)^(1/3) + (-a + x)^(1/3)) + 3*(-a + x)^(1/3)","A",0
225,1,9,0,0.930949," ","integrate(x*sinh(x),x, algorithm=""fricas"")","x \cosh\left(x\right) - \sinh\left(x\right)"," ",0,"x*cosh(x) - sinh(x)","A",0
226,1,9,0,1.096744," ","integrate(x*cosh(x),x, algorithm=""fricas"")","x \sinh\left(x\right) - \cosh\left(x\right)"," ",0,"x*sinh(x) - cosh(x)","A",0
227,1,26,0,0.772546," ","integrate(sinh(2*x)/cosh(2*x),x, algorithm=""fricas"")","-x + \frac{1}{2} \, \log\left(\frac{2 \, \cosh\left(2 \, x\right)}{\cosh\left(2 \, x\right) - \sinh\left(2 \, x\right)}\right)"," ",0,"-x + 1/2*log(2*cosh(2*x)/(cosh(2*x) - sinh(2*x)))","B",0
228,1,26,0,1.117817," ","integrate((-1+I*eps*sinh(x))/(I*a-x+I*eps*cosh(x)),x, algorithm=""fricas"")","-x + \log\left(\frac{\mathit{eps} e^{\left(2 \, x\right)} + 2 \, {\left(a + i \, x\right)} e^{x} + \mathit{eps}}{\mathit{eps}}\right)"," ",0,"-x + log((eps*e^(2*x) + 2*(a + I*x)*e^x + eps)/eps)","B",0
229,1,32,0,1.198568," ","integrate(cos(x)^2*sin(3+2*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(3\right) \cos\left(x\right)^{4} + \frac{1}{4} \, x \sin\left(3\right) + \frac{1}{4} \, {\left(2 \, \cos\left(x\right)^{3} \sin\left(3\right) + \cos\left(x\right) \sin\left(3\right)\right)} \sin\left(x\right)"," ",0,"-1/2*cos(3)*cos(x)^4 + 1/4*x*sin(3) + 1/4*(2*cos(x)^3*sin(3) + cos(x)*sin(3))*sin(x)","A",0
230,1,13,0,0.614231," ","integrate(x*arctan(x),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} + 1\right)} \arctan\left(x\right) - \frac{1}{2} \, x"," ",0,"1/2*(x^2 + 1)*arctan(x) - 1/2*x","A",0
231,1,13,0,0.885839," ","integrate(x*arccot(x),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} + 1\right)} \operatorname{arccot}\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*(x^2 + 1)*arccot(x) + 1/2*x","A",0
232,1,19,0,0.798170," ","integrate(x*log(x^2+a),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + \frac{1}{2} \, {\left(x^{2} + a\right)} \log\left(x^{2} + a\right)"," ",0,"-1/2*x^2 + 1/2*(x^2 + a)*log(x^2 + a)","A",0
233,1,28,0,1.084821," ","integrate(cos(x)*sin(a+x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(a + x\right)^{2} \cos\left(a\right) - \frac{1}{2} \, \cos\left(a + x\right) \sin\left(a + x\right) \sin\left(a\right) + \frac{1}{2} \, x \sin\left(a\right)"," ",0,"-1/2*cos(a + x)^2*cos(a) - 1/2*cos(a + x)*sin(a + x)*sin(a) + 1/2*x*sin(a)","A",0
234,1,28,0,1.068085," ","integrate(cos(a+x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(a + x\right)^{2} \cos\left(a\right) - \frac{1}{2} \, \cos\left(a + x\right) \sin\left(a + x\right) \sin\left(a\right) - \frac{1}{2} \, x \sin\left(a\right)"," ",0,"-1/2*cos(a + x)^2*cos(a) - 1/2*cos(a + x)*sin(a + x)*sin(a) - 1/2*x*sin(a)","A",0
235,1,24,0,1.035555," ","integrate((1+sin(x))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cos\left(x\right) - \sin\left(x\right) + 1\right)} \sqrt{\sin\left(x\right) + 1}}{\cos\left(x\right) + \sin\left(x\right) + 1}"," ",0,"-2*(cos(x) - sin(x) + 1)*sqrt(sin(x) + 1)/(cos(x) + sin(x) + 1)","B",0
236,1,26,0,0.615232," ","integrate((1-sin(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(\cos\left(x\right) + \sin\left(x\right) + 1\right)} \sqrt{-\sin\left(x\right) + 1}}{\cos\left(x\right) - \sin\left(x\right) + 1}"," ",0,"2*(cos(x) + sin(x) + 1)*sqrt(-sin(x) + 1)/(cos(x) - sin(x) + 1)","B",0
237,1,10,0,0.657753," ","integrate((1+cos(x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sin\left(x\right)}{\sqrt{\cos\left(x\right) + 1}}"," ",0,"2*sin(x)/sqrt(cos(x) + 1)","A",0
238,1,18,0,0.991435," ","integrate((1-cos(x))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cos\left(x\right) + 1\right)} \sqrt{-\cos\left(x\right) + 1}}{\sin\left(x\right)}"," ",0,"-2*(cos(x) + 1)*sqrt(-cos(x) + 1)/sin(x)","A",0
239,1,13,0,0.809313," ","integrate(1/(-(-1+x)^(1/2)+x^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*(x - 1)^(3/2) + 2/3*x^(3/2)","A",0
240,1,18,0,0.740106," ","integrate(1/(1-(1+x)^(1/2)),x, algorithm=""fricas"")","-2 \, \sqrt{x + 1} - 2 \, \log\left(\sqrt{x + 1} - 1\right)"," ",0,"-2*sqrt(x + 1) - 2*log(sqrt(x + 1) - 1)","A",0
241,1,16,0,0.856611," ","integrate(x/(x^4+36)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 36}\right)"," ",0,"-1/2*log(-x^2 + sqrt(x^4 + 36))","A",0
242,1,24,0,0.896105," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""fricas"")","2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} + 6 \, x^{\frac{1}{6}} - 6 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(x) - 3*x^(1/3) + 6*x^(1/6) - 6*log(x^(1/6) + 1)","A",0
243,1,32,0,0.977692," ","integrate(log(3*x^2+2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{3} \sqrt{2} x\right) + x \log\left(3 \, x^{2} + 2\right) - 2 \, x"," ",0,"2/3*sqrt(3)*sqrt(2)*arctan(1/2*sqrt(3)*sqrt(2)*x) + x*log(3*x^2 + 2) - 2*x","A",0
244,1,11,0,1.134910," ","integrate(cot(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(2 \, x\right) + \frac{1}{2}\right)"," ",0,"1/2*log(-1/2*cos(2*x) + 1/2)","B",0
245,1,48,0,1.062837," ","integrate(cot(x)^4,x, algorithm=""fricas"")","\frac{4 \, \cos\left(2 \, x\right)^{2} + 3 \, {\left(x \cos\left(2 \, x\right) - x\right)} \sin\left(2 \, x\right) + 2 \, \cos\left(2 \, x\right) - 2}{3 \, {\left(\cos\left(2 \, x\right) - 1\right)} \sin\left(2 \, x\right)}"," ",0,"1/3*(4*cos(2*x)^2 + 3*(x*cos(2*x) - x)*sin(2*x) + 2*cos(2*x) - 2)/((cos(2*x) - 1)*sin(2*x))","B",0
246,1,18,0,0.727422," ","integrate(tanh(x),x, algorithm=""fricas"")","-x + \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-x + log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
247,1,18,0,0.888912," ","integrate(coth(x),x, algorithm=""fricas"")","-x + \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-x + log(2*sinh(x)/(cosh(x) - sinh(x)))","B",0
248,1,8,0,0.784472," ","integrate(b^x,x, algorithm=""fricas"")","\frac{b^{x}}{\log\left(b\right)}"," ",0,"b^x/log(b)","A",0
249,1,10,0,0.831223," ","integrate((2+1/x^4+x^4)^(1/2),x, algorithm=""fricas"")","\frac{x^{4} - 3}{3 \, x}"," ",0,"1/3*(x^4 - 3)/x","A",0
250,1,12,0,0.865353," ","integrate((1+2*x)/(2+3*x),x, algorithm=""fricas"")","\frac{2}{3} \, x - \frac{1}{9} \, \log\left(3 \, x + 2\right)"," ",0,"2/3*x - 1/9*log(3*x + 2)","A",0
251,1,30,0,0.730166," ","integrate(x*log(x+(x^2+1)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x^{2} + 1\right)} \log\left(x + \sqrt{x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{x^{2} + 1} x"," ",0,"1/4*(2*x^2 + 1)*log(x + sqrt(x^2 + 1)) - 1/4*sqrt(x^2 + 1)*x","A",0
252,1,55,0,0.985075," ","integrate(x*(1+exp(x)*sin(x))^2,x, algorithm=""fricas"")","-{\left(x - 1\right)} \cos\left(x\right) e^{x} + \frac{1}{2} \, x^{2} - \frac{1}{8} \, {\left(2 \, x \cos\left(x\right)^{2} - 3 \, x + 1\right)} e^{\left(2 \, x\right)} - \frac{1}{8} \, {\left({\left(2 \, x - 1\right)} \cos\left(x\right) e^{\left(2 \, x\right)} - 8 \, x e^{x}\right)} \sin\left(x\right)"," ",0,"-(x - 1)*cos(x)*e^x + 1/2*x^2 - 1/8*(2*x*cos(x)^2 - 3*x + 1)*e^(2*x) - 1/8*((2*x - 1)*cos(x)*e^(2*x) - 8*x*e^x)*sin(x)","A",0
253,1,17,0,1.215503," ","integrate(exp(x)*x*cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x - 1\right)} e^{x} \sin\left(x\right)"," ",0,"1/2*x*cos(x)*e^x + 1/2*(x - 1)*e^x*sin(x)","A",0
254,1,17,0,1.145077," ","integrate(1/(-3+x)^4,x, algorithm=""fricas"")","-\frac{1}{3 \, {\left(x^{3} - 9 \, x^{2} + 27 \, x - 27\right)}}"," ",0,"-1/3/(x^3 - 9*x^2 + 27*x - 27)","B",0
255,1,32,0,0.959912," ","integrate(x/(x^3-1),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(x - 1)","A",0
256,1,17,0,0.841519," ","integrate(x/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{4} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*log(x^2 + 1) + 1/4*log(x^2 - 1)","B",0
257,0,0,0,1.021834," ","integrate((x^3+1)*log(x)/(x^4+2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(x^{3} + 1\right)} \log\left(x\right)}{x^{4} + 2}, x\right)"," ",0,"integral((x^3 + 1)*log(x)/(x^4 + 2), x)","F",0
258,1,24,0,0.942957," ","integrate(log(x)+log(1+x)+log(2+x),x, algorithm=""fricas"")","{\left(x + 2\right)} \log\left(x + 2\right) + {\left(x + 1\right)} \log\left(x + 1\right) + x \log\left(x\right) - 3 \, x"," ",0,"(x + 2)*log(x + 2) + (x + 1)*log(x + 1) + x*log(x) - 3*x","A",0
259,1,69,0,0.712901," ","integrate(1/(x^3+5),x, algorithm=""fricas"")","\frac{1}{15} \cdot 25^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{1}{75} \cdot 25^{\frac{1}{6}} {\left(2 \cdot 25^{\frac{2}{3}} \sqrt{3} x - 5 \cdot 25^{\frac{1}{3}} \sqrt{3}\right)}\right) - \frac{1}{150} \cdot 25^{\frac{2}{3}} \log\left(5 \, x^{2} - 25^{\frac{2}{3}} x + 5 \cdot 25^{\frac{1}{3}}\right) + \frac{1}{75} \cdot 25^{\frac{2}{3}} \log\left(5 \, x + 25^{\frac{2}{3}}\right)"," ",0,"1/15*25^(1/6)*sqrt(3)*arctan(1/75*25^(1/6)*(2*25^(2/3)*sqrt(3)*x - 5*25^(1/3)*sqrt(3))) - 1/150*25^(2/3)*log(5*x^2 - 25^(2/3)*x + 5*25^(1/3)) + 1/75*25^(2/3)*log(5*x + 25^(2/3))","A",0
260,1,14,0,0.827024," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"-log(-x + sqrt(x^2 + 1))","B",0
261,1,25,0,0.839235," ","integrate((x^2+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 3} x - \frac{3}{2} \, \log\left(-x + \sqrt{x^{2} + 3}\right)"," ",0,"1/2*sqrt(x^2 + 3)*x - 3/2*log(-x + sqrt(x^2 + 3))","A",0
262,1,16,0,0.975409," ","integrate(x/(1+x)^2,x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \log\left(x + 1\right) + 1}{x + 1}"," ",0,"((x + 1)*log(x + 1) + 1)/(x + 1)","A",0
263,1,14,0,0.985441," ","integrate(arcsin(x),x, algorithm=""fricas"")","x \arcsin\left(x\right) + \sqrt{-x^{2} + 1}"," ",0,"x*arcsin(x) + sqrt(-x^2 + 1)","A",0
264,1,24,0,0.884515," ","integrate(x^2*arcsin(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arcsin\left(x\right) + \frac{1}{9} \, {\left(x^{2} + 2\right)} \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arcsin(x) + 1/9*(x^2 + 2)*sqrt(-x^2 + 1)","A",0
265,1,29,0,0.843831," ","integrate(sec(x)^2/(1+sec(x)^2-3*tan(x)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{3}{4} \, \cos\left(x\right)^{2} - \cos\left(x\right) \sin\left(x\right) + \frac{1}{4}\right) - \frac{1}{2} \, \log\left(-2 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"1/2*log(3/4*cos(x)^2 - cos(x)*sin(x) + 1/4) - 1/2*log(-2*cos(x)*sin(x) + 1)","A",0
266,1,10,0,0.909373," ","integrate(1/sec(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*cos(x)*sin(x) + 1/2*x","A",0
267,1,18,0,0.851448," ","integrate((5*x^2-3*x-2)/(-2+x)/x^2,x, algorithm=""fricas"")","\frac{3 \, x \log\left(x - 2\right) + 2 \, x \log\left(x\right) - 1}{x}"," ",0,"(3*x*log(x - 2) + 2*x*log(x) - 1)/x","A",0
268,1,16,0,0.839443," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 + 9))","B",0
269,1,14,0,0.883804," ","integrate(1/(x^2+4)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 4}\right)"," ",0,"-log(-x + sqrt(x^2 + 4))","B",0
270,1,16,0,0.851674," ","integrate(1/(9*x^2-12*x+10),x, algorithm=""fricas"")","\frac{1}{18} \, \sqrt{6} \arctan\left(\frac{1}{6} \, \sqrt{6} {\left(3 \, x - 2\right)}\right)"," ",0,"1/18*sqrt(6)*arctan(1/6*sqrt(6)*(3*x - 2))","A",0
271,1,73,0,0.845386," ","integrate(1/(x^8-2*x^7+2*x^6-2*x^5+x^4),x, algorithm=""fricas"")","-\frac{30 \, x^{3} - 12 \, x^{2} - 3 \, {\left(x^{4} - x^{3}\right)} \log\left(x^{2} + 1\right) + 30 \, {\left(x^{4} - x^{3}\right)} \log\left(x - 1\right) - 24 \, {\left(x^{4} - x^{3}\right)} \log\left(x\right) - 8 \, x - 4}{12 \, {\left(x^{4} - x^{3}\right)}}"," ",0,"-1/12*(30*x^3 - 12*x^2 - 3*(x^4 - x^3)*log(x^2 + 1) + 30*(x^4 - x^3)*log(x - 1) - 24*(x^4 - x^3)*log(x) - 8*x - 4)/(x^4 - x^3)","A",0
272,1,41,0,0.885196," ","integrate((a*x^3+b*x^2+c*x+d)/(-3+x)/x/(1+x),x, algorithm=""fricas"")","a x - \frac{1}{4} \, {\left(a - b + c - d\right)} \log\left(x + 1\right) + \frac{1}{12} \, {\left(27 \, a + 9 \, b + 3 \, c + d\right)} \log\left(x - 3\right) - \frac{1}{3} \, d \log\left(x\right)"," ",0,"a*x - 1/4*(a - b + c - d)*log(x + 1) + 1/12*(27*a + 9*b + 3*c + d)*log(x - 3) - 1/3*d*log(x)","A",0
273,0,0,0,0.962706," ","integrate(1/(2-log(x^2+1))^5,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{\log\left(x^{2} + 1\right)^{5} - 10 \, \log\left(x^{2} + 1\right)^{4} + 40 \, \log\left(x^{2} + 1\right)^{3} - 80 \, \log\left(x^{2} + 1\right)^{2} + 80 \, \log\left(x^{2} + 1\right) - 32}, x\right)"," ",0,"integral(-1/(log(x^2 + 1)^5 - 10*log(x^2 + 1)^4 + 40*log(x^2 + 1)^3 - 80*log(x^2 + 1)^2 + 80*log(x^2 + 1) - 32), x)","F",0
274,1,44,0,0.933802," ","integrate(exp(x^2)/x+2*exp(x^2)*x*log(x)+(-2+log(x))/(x+log(x)^2)^2+(1+1/x+2*log(x)/x)/(x+log(x)^2),x, algorithm=""fricas"")","\frac{e^{\left(x^{2}\right)} \log\left(x\right)^{3} + {\left(\log\left(x\right)^{2} + x\right)} \log\left(\log\left(x\right)^{2} + x\right) + {\left(x e^{\left(x^{2}\right)} - 1\right)} \log\left(x\right)}{\log\left(x\right)^{2} + x}"," ",0,"(e^(x^2)*log(x)^3 + (log(x)^2 + x)*log(log(x)^2 + x) + (x*e^(x^2) - 1)*log(x))/(log(x)^2 + x)","A",0
275,1,145,0,0.976923," ","integrate(x^4*exp(1/2*x+x*z)*sin(pi*z)^4,z, algorithm=""fricas"")","\frac{4 \, {\left({\left(4 \, \pi^{3} x^{4} + \pi x^{6}\right)} \cos\left(\pi z\right)^{3} - {\left(10 \, \pi^{3} x^{4} + \pi x^{6}\right)} \cos\left(\pi z\right)\right)} e^{\left(x z + \frac{1}{2} \, x\right)} \sin\left(\pi z\right) + {\left(24 \, \pi^{4} x^{3} + 16 \, \pi^{2} x^{5} + x^{7} + {\left(4 \, \pi^{2} x^{5} + x^{7}\right)} \cos\left(\pi z\right)^{4} - 2 \, {\left(10 \, \pi^{2} x^{5} + x^{7}\right)} \cos\left(\pi z\right)^{2}\right)} e^{\left(x z + \frac{1}{2} \, x\right)}}{64 \, \pi^{4} + 20 \, \pi^{2} x^{2} + x^{4}}"," ",0,"(4*((4*pi^3*x^4 + pi*x^6)*cos(pi*z)^3 - (10*pi^3*x^4 + pi*x^6)*cos(pi*z))*e^(x*z + 1/2*x)*sin(pi*z) + (24*pi^4*x^3 + 16*pi^2*x^5 + x^7 + (4*pi^2*x^5 + x^7)*cos(pi*z)^4 - 2*(10*pi^2*x^5 + x^7)*cos(pi*z)^2)*e^(x*z + 1/2*x))/(64*pi^4 + 20*pi^2*x^2 + x^4)","A",0
276,1,20,0,0.906321," ","integrate(erf(x),x, algorithm=""fricas"")","\frac{\pi x \operatorname{erf}\left(x\right) + \sqrt{\pi} e^{\left(-x^{2}\right)}}{\pi}"," ",0,"(pi*x*erf(x) + sqrt(pi)*e^(-x^2))/pi","A",0
277,1,37,0,0.961169," ","integrate(erf(a+x),x, algorithm=""fricas"")","\frac{{\left(\pi a + \pi x\right)} \operatorname{erf}\left(a + x\right) + \sqrt{\pi} e^{\left(-a^{2} - 2 \, a x - x^{2}\right)}}{\pi}"," ",0,"((pi*a + pi*x)*erf(a + x) + sqrt(pi)*e^(-a^2 - 2*a*x - x^2))/pi","A",0
278,1,179,0,1.158979," ","integrate((2*x^6+4*x^5+7*x^4-3*x^3-x^2-8*x-8)/(2*x^2-1)^2/(x^4+4*x^3+2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{{\left(2 \, x^{2} - 1\right)} \log\left(\frac{1025 \, x^{10} + 6138 \, x^{9} + 12307 \, x^{8} + 10188 \, x^{7} + 4503 \, x^{6} + 3134 \, x^{5} + 1589 \, x^{4} + 140 \, x^{3} + 176 \, x^{2} - {\left(1023 \, x^{8} + 4104 \, x^{7} + 5084 \, x^{6} + 2182 \, x^{5} + 805 \, x^{4} + 624 \, x^{3} + 10 \, x^{2} + 28 \, x\right)} \sqrt{x^{4} + 4 \, x^{3} + 2 \, x^{2} + 1} + 2}{32 \, x^{10} - 80 \, x^{8} + 80 \, x^{6} - 40 \, x^{4} + 10 \, x^{2} - 1}\right) + \sqrt{x^{4} + 4 \, x^{3} + 2 \, x^{2} + 1} {\left(2 \, x + 1\right)}}{2 \, {\left(2 \, x^{2} - 1\right)}}"," ",0,"1/2*((2*x^2 - 1)*log((1025*x^10 + 6138*x^9 + 12307*x^8 + 10188*x^7 + 4503*x^6 + 3134*x^5 + 1589*x^4 + 140*x^3 + 176*x^2 - (1023*x^8 + 4104*x^7 + 5084*x^6 + 2182*x^5 + 805*x^4 + 624*x^3 + 10*x^2 + 28*x)*sqrt(x^4 + 4*x^3 + 2*x^2 + 1) + 2)/(32*x^10 - 80*x^8 + 80*x^6 - 40*x^4 + 10*x^2 - 1)) + sqrt(x^4 + 4*x^3 + 2*x^2 + 1)*(2*x + 1))/(2*x^2 - 1)","B",0
279,1,223,0,1.196554," ","integrate((1+2*y)*(-5*y^2-5*y+1)^(1/2)/y/(1+y)/(2+y)/(-y^2-y+1)^(1/2),y, algorithm=""fricas"")","\frac{9}{8} \, \log\left(-\frac{235 \, y^{4} + 935 \, y^{3} - 3 \, {\left(35 \, y^{2} + 104 \, y + 77\right)} \sqrt{-y^{2} - y + 1} \sqrt{-5 \, y^{2} - 5 \, y + 1} + 1086 \, y^{2} + 131 \, y - 281}{y^{4} + 8 \, y^{3} + 24 \, y^{2} + 32 \, y + 16}\right) + \frac{1}{4} \, \log\left(\frac{35 \, y^{4} + 125 \, y^{3} + {\left(15 \, y^{2} + 38 \, y + 24\right)} \sqrt{-y^{2} - y + 1} \sqrt{-5 \, y^{2} - 5 \, y + 1} + 131 \, y^{2} + 16 \, y - 26}{y^{4} + 4 \, y^{3} + 6 \, y^{2} + 4 \, y + 1}\right) + \frac{1}{8} \, \log\left(\frac{35 \, y^{4} + 15 \, y^{3} + {\left(15 \, y^{2} - 8 \, y + 1\right)} \sqrt{-y^{2} - y + 1} \sqrt{-5 \, y^{2} - 5 \, y + 1} - 34 \, y^{2} + 11 \, y - 1}{y^{4}}\right)"," ",0,"9/8*log(-(235*y^4 + 935*y^3 - 3*(35*y^2 + 104*y + 77)*sqrt(-y^2 - y + 1)*sqrt(-5*y^2 - 5*y + 1) + 1086*y^2 + 131*y - 281)/(y^4 + 8*y^3 + 24*y^2 + 32*y + 16)) + 1/4*log((35*y^4 + 125*y^3 + (15*y^2 + 38*y + 24)*sqrt(-y^2 - y + 1)*sqrt(-5*y^2 - 5*y + 1) + 131*y^2 + 16*y - 26)/(y^4 + 4*y^3 + 6*y^2 + 4*y + 1)) + 1/8*log((35*y^4 + 15*y^3 + (15*y^2 - 8*y + 1)*sqrt(-y^2 - y + 1)*sqrt(-5*y^2 - 5*y + 1) - 34*y^2 + 11*y - 1)/y^4)","A",0
280,1,162,0,0.734172," ","integrate(x*(-(x^2-4)^(1/2)+x^2*(x^2-4)^(1/2)-4*(x^2-1)^(1/2)+x^2*(x^2-1)^(1/2))/(x^4-5*x^2+4)/(1+(x^2-4)^(1/2)+(x^2-1)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(4 \, x^{4} - {\left(4 \, x^{2} - 11\right)} \sqrt{x^{2} - 1} \sqrt{x^{2} - 4} - 21 \, x^{2} + 23\right) - \frac{1}{4} \, \log\left(x^{2} - \sqrt{x^{2} - 1} {\left(x + 2\right)} + 2 \, x - 1\right) + \frac{1}{4} \, \log\left(x^{2} - \sqrt{x^{2} - 4} {\left(x + 1\right)} + x - 4\right) - \frac{1}{4} \, \log\left(x^{2} - \sqrt{x^{2} - 4} {\left(x - 1\right)} - x - 4\right) + \frac{1}{4} \, \log\left(x^{2} - \sqrt{x^{2} - 1} {\left(x - 2\right)} - 2 \, x - 1\right) + \frac{1}{4} \, \log\left(x^{2} - 5\right) + \frac{1}{4} \, \log\left(-x^{2} + \sqrt{x^{2} - 1} \sqrt{x^{2} - 4} + 7\right)"," ",0,"-1/4*log(4*x^4 - (4*x^2 - 11)*sqrt(x^2 - 1)*sqrt(x^2 - 4) - 21*x^2 + 23) - 1/4*log(x^2 - sqrt(x^2 - 1)*(x + 2) + 2*x - 1) + 1/4*log(x^2 - sqrt(x^2 - 4)*(x + 1) + x - 4) - 1/4*log(x^2 - sqrt(x^2 - 4)*(x - 1) - x - 4) + 1/4*log(x^2 - sqrt(x^2 - 1)*(x - 2) - 2*x - 1) + 1/4*log(x^2 - 5) + 1/4*log(-x^2 + sqrt(x^2 - 1)*sqrt(x^2 - 4) + 7)","B",0
281,0,0,0,0.919355," ","integrate(-2^(1/2)*(x^4+2*x^2+4*x+1)^(1/2)+x*(-1+2*2^(1/2)),x, algorithm=""fricas"")","{\rm integral}\left(2 \, \sqrt{2} x - \sqrt{2} \sqrt{x^{4} + 2 \, x^{2} + 4 \, x + 1} - x, x\right)"," ",0,"integral(2*sqrt(2)*x - sqrt(2)*sqrt(x^4 + 2*x^2 + 4*x + 1) - x, x)","F",0
282,1,269,0,0.978236," ","integrate(1/384*(pi^2*(4*mc^9-3*mc^8-48*mc^7*x+24*mc^6*x-144*mc^5*x^2+176*mc^3*x^3-24*mc^2*x^3+12*mc*x^4+3*x^4)+12*mc^3*pi^2*(-12*mc^2+3*mc-8*x)*x^2*log(x/mc^2))/exp(x/y)/x^2,x, algorithm=""fricas"")","\frac{12 \, {\left(8 \, \pi^{2} \mathit{mc}^{3} x y^{3} + {\left(8 \, \pi^{2} \mathit{mc}^{3} x^{2} + 3 \, \pi^{2} {\left(4 \, \mathit{mc}^{5} - \mathit{mc}^{4}\right)} x\right)} y^{2}\right)} e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) - {\left(96 \, \pi^{2} \mathit{mc}^{3} x y^{3} + 36 \, \pi^{2} {\left(4 \, \mathit{mc}^{5} - \mathit{mc}^{4}\right)} x y^{2} + 24 \, \pi^{2} {\left(2 \, \mathit{mc}^{7} - \mathit{mc}^{6}\right)} x y + \pi^{2} {\left(4 \, \mathit{mc}^{9} - 3 \, \mathit{mc}^{8}\right)} x\right)} {\rm Ei}\left(-\frac{x}{y}\right) - {\left(6 \, \pi^{2} {\left(4 \, \mathit{mc} + 1\right)} x y^{4} + \pi^{2} {\left(4 \, \mathit{mc}^{9} - 3 \, \mathit{mc}^{8}\right)} y + 2 \, {\left(3 \, \pi^{2} {\left(4 \, \mathit{mc} + 1\right)} x^{2} + 4 \, \pi^{2} {\left(10 \, \mathit{mc}^{3} - 3 \, \mathit{mc}^{2}\right)} x\right)} y^{3} - {\left(144 \, \pi^{2} \mathit{mc}^{5} x - 3 \, \pi^{2} {\left(4 \, \mathit{mc} + 1\right)} x^{3} - 8 \, \pi^{2} {\left(22 \, \mathit{mc}^{3} - 3 \, \mathit{mc}^{2}\right)} x^{2}\right)} y^{2}\right)} e^{\left(-\frac{x}{y}\right)}}{384 \, x y}"," ",0,"1/384*(12*(8*pi^2*mc^3*x*y^3 + (8*pi^2*mc^3*x^2 + 3*pi^2*(4*mc^5 - mc^4)*x)*y^2)*e^(-x/y)*log(x/mc^2) - (96*pi^2*mc^3*x*y^3 + 36*pi^2*(4*mc^5 - mc^4)*x*y^2 + 24*pi^2*(2*mc^7 - mc^6)*x*y + pi^2*(4*mc^9 - 3*mc^8)*x)*Ei(-x/y) - (6*pi^2*(4*mc + 1)*x*y^4 + pi^2*(4*mc^9 - 3*mc^8)*y + 2*(3*pi^2*(4*mc + 1)*x^2 + 4*pi^2*(10*mc^3 - 3*mc^2)*x)*y^3 - (144*pi^2*mc^5*x - 3*pi^2*(4*mc + 1)*x^3 - 8*pi^2*(22*mc^3 - 3*mc^2)*x^2)*y^2)*e^(-x/y))/(x*y)","A",0
283,1,4,0,0.732952," ","integrate(sin(2*x)/cos(x),x, algorithm=""fricas"")","-2 \, \cos\left(x\right)"," ",0,"-2*cos(x)","A",0
284,1,137,0,0.789454," ","integrate((7*x^13+10*x^8+4*x^7-7*x^6-4*x^3-4*x^2+3*x+3)/(x^14-2*x^8-2*x^7-2*x^4-4*x^3-x^2+2*x+1),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{x^{14} - 2 \, x^{8} - 2 \, x^{7} + 2 \, x^{4} + 4 \, x^{3} + 3 \, x^{2} - 2 \, \sqrt{2} {\left(x^{9} + x^{8} - x^{3} - 2 \, x^{2} - x\right)} + 2 \, x + 1}{x^{14} - 2 \, x^{8} - 2 \, x^{7} - 2 \, x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1}\right) + \frac{1}{2} \, \log\left(x^{14} - 2 \, x^{8} - 2 \, x^{7} - 2 \, x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1\right)"," ",0,"1/2*sqrt(2)*log((x^14 - 2*x^8 - 2*x^7 + 2*x^4 + 4*x^3 + 3*x^2 - 2*sqrt(2)*(x^9 + x^8 - x^3 - 2*x^2 - x) + 2*x + 1)/(x^14 - 2*x^8 - 2*x^7 - 2*x^4 - 4*x^3 - x^2 + 2*x + 1)) + 1/2*log(x^14 - 2*x^8 - 2*x^7 - 2*x^4 - 4*x^3 - x^2 + 2*x + 1)","B",0
