1,1,13,12,0.002000," ","int(x^2+x+1,x)","\frac{1}{3} x^{3}+\frac{1}{2} x^{2}+x"," ",0,"x+1/2*x^2+1/3*x^3","A"
2,1,17,16,0.001000," ","int(x^2*(2*x^2+x)^2,x)","\frac{4}{7} x^{7}+\frac{2}{3} x^{6}+\frac{1}{5} x^{5}"," ",0,"1/5*x^5+2/3*x^6+4/7*x^7","A"
3,1,17,16,0.001000," ","int(x*(x^2+2*x+1),x)","\frac{1}{4} x^{4}+\frac{2}{3} x^{3}+\frac{1}{2} x^{2}"," ",0,"1/2*x^2+2/3*x^3+1/4*x^4","A"
4,1,3,2,0.000000," ","int(1/x,x)","\ln \left(x \right)"," ",0,"ln(x)","A"
5,1,27,34,0.008000," ","int((x+1)^3/(x-1)^4,x)","\ln \left(x -1\right)-\frac{6}{\left(x -1\right)^{2}}-\frac{6}{x -1}-\frac{8}{3 \left(x -1\right)^{3}}"," ",0,"-6/(x-1)^2-6/(x-1)+ln(x-1)-8/3/(x-1)^3","A"
6,1,25,26,0.010000," ","int(1/(x-1)/x/(x+1)^2,x)","-\ln \left(x \right)+\frac{\ln \left(x -1\right)}{4}+\frac{3 \ln \left(x +1\right)}{4}-\frac{1}{2 \left(x +1\right)}"," ",0,"-1/2/(x+1)+3/4*ln(x+1)+1/4*ln(x-1)-ln(x)","A"
7,1,66,40,0.008000," ","int((a*x+b)/(-p+x)/(-q+x),x)","\frac{a p \ln \left(-p +x \right)}{p -q}-\frac{a q \ln \left(-q +x \right)}{p -q}+\frac{b \ln \left(-p +x \right)}{p -q}-\frac{b \ln \left(-q +x \right)}{p -q}"," ",0,"-1/(p-q)*ln(-q+x)*a*q-1/(p-q)*ln(-q+x)*b+1/(p-q)*ln(-p+x)*a*p+1/(p-q)*ln(-p+x)*b","A"
8,1,35,30,0.008000," ","int(1/(a*x^2+b*x+c),x)","\frac{2 \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}"," ",0,"2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))","A"
9,1,15,14,0.002000," ","int((a*x+b)/(x^2+1),x)","\frac{a \ln \left(x^{2}+1\right)}{2}+b \arctan \left(x \right)"," ",0,"b*arctan(x)+1/2*a*ln(x^2+1)","A"
10,1,17,16,0.005000," ","int(1/(x^2-2*x+3),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\left(2 x -2\right) \sqrt{2}}{4}\right)}{2}"," ",0,"1/2*2^(1/2)*arctan(1/4*(2*x-2)*2^(1/2))","A"
11,1,36,39,0.013000," ","int(1/(x-1)^2/(x^2+1)^2,x)","\frac{\arctan \left(x \right)}{4}-\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x^{2}+1\right)}{4}-\frac{1}{4 \left(x -1\right)}-\frac{1}{4 \left(x^{2}+1\right)}"," ",0,"-1/4/(x-1)-1/2*ln(x-1)-1/4/(x^2+1)+1/4*ln(x^2+1)+1/4*arctan(x)","A"
12,1,69,68,0.010000," ","int(x/(-a+x)/(-b+x)/(-c+x),x)","\frac{a \ln \left(-a +x \right)}{\left(a -b \right) \left(a -c \right)}-\frac{b \ln \left(-b +x \right)}{\left(a -b \right) \left(b -c \right)}+\frac{c \ln \left(-c +x \right)}{\left(b -c \right) \left(a -c \right)}"," ",0,"c/(b-c)/(a-c)*ln(-c+x)+a/(a-b)/(a-c)*ln(-a+x)-b/(a-b)/(b-c)*ln(-b+x)","A"
13,1,44,43,0.008000," ","int(x/(a^2+x^2)/(b^2+x^2),x)","-\frac{\ln \left(a^{2}+x^{2}\right)}{2 \left(a^{2}-b^{2}\right)}+\frac{\ln \left(b^{2}+x^{2}\right)}{2 a^{2}-2 b^{2}}"," ",0,"-1/2*ln(a^2+x^2)/(a^2-b^2)+1/2*ln(b^2+x^2)/(a^2-b^2)","A"
14,1,41,40,0.012000," ","int(x^2/(a^2+x^2)/(b^2+x^2),x)","\frac{a \arctan \left(\frac{x}{a}\right)}{a^{2}-b^{2}}-\frac{b \arctan \left(\frac{x}{b}\right)}{a^{2}-b^{2}}"," ",0,"a*arctan(1/a*x)/(a^2-b^2)-b*arctan(x/b)/(a^2-b^2)","A"
15,1,20,21,0.005000," ","int(x/(x-1)/(x^2+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x -1\right)}{2}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*ln(x-1)-1/4*ln(x^2+1)+1/2*arctan(x)","A"
16,1,35,34,0.008000," ","int(x/(x^3+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{6}"," ",0,"-1/3*ln(x+1)+1/6*ln(x^2-x+1)+1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
17,1,32,35,0.010000," ","int(x^3/(x-1)^2/(x^3+1),x)","\frac{3 \ln \left(x -1\right)}{4}-\frac{\ln \left(x +1\right)}{12}-\frac{\ln \left(x^{2}-x +1\right)}{3}-\frac{1}{2 \left(x -1\right)}"," ",0,"-1/12*ln(x+1)-1/3*ln(x^2-x+1)-1/2/(x-1)+3/4*ln(x-1)","A"
18,1,58,60,0.000000," ","int(1/(x^4+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{8}"," ",0,"1/4*2^(1/2)*arctan(2^(1/2)*x-1)+1/4*2^(1/2)*arctan(2^(1/2)*x+1)+1/8*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))","A"
19,1,58,60,0.003000," ","int(x^2/(x^4+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{8}"," ",0,"1/8*2^(1/2)*ln((x^2-2^(1/2)*x+1)/(x^2+2^(1/2)*x+1))+1/4*2^(1/2)*arctan(2^(1/2)*x-1)+1/4*2^(1/2)*arctan(2^(1/2)*x+1)","A"
20,1,54,53,0.003000," ","int(1/(x^4+x^2+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{4}+\frac{\ln \left(x^{2}+x +1\right)}{4}"," ",0,"-1/4*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/4*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
21,1,19,18,0.001000," ","int((b*x+a)^p,x)","\frac{\left(b x +a \right)^{p +1}}{\left(p +1\right) b}"," ",0,"(b*x+a)^(1+p)/b/(1+p)","A"
22,1,36,39,0.003000," ","int(x*(b*x+a)^p,x)","-\frac{\left(-x p b -b x +a \right) \left(b x +a \right)^{p +1}}{\left(p^{2}+3 p +2\right) b^{2}}"," ",0,"-(b*x+a)^(p+1)*(-b*p*x-b*x+a)/b^2/(p^2+3*p+2)","A"
23,1,73,60,0.007000," ","int(x^2*(b*x+a)^p,x)","\frac{\left(b^{2} p^{2} x^{2}+3 b^{2} p \,x^{2}-2 a b p x +2 x^{2} b^{2}-2 a x b +2 a^{2}\right) \left(b x +a \right)^{p +1}}{\left(p^{3}+6 p^{2}+11 p +6\right) b^{3}}"," ",0,"(b*x+a)^(p+1)*(b^2*p^2*x^2+3*b^2*p*x^2-2*a*b*p*x+2*b^2*x^2-2*a*b*x+2*a^2)/b^3/(p^3+6*p^2+11*p+6)","A"
24,1,11,10,0.001000," ","int(1/(b*x+a),x)","\frac{\ln \left(b x +a \right)}{b}"," ",0,"ln(b*x+a)/b","A"
25,1,13,12,0.000000," ","int(1/(b*x+a)^2,x)","-\frac{1}{\left(b x +a \right) b}"," ",0,"-1/b/(b*x+a)","A"
26,1,19,18,0.003000," ","int(x/(b*x+a),x)","-\frac{a \ln \left(b x +a \right)}{b^{2}}+\frac{x}{b}"," ",0,"1/b*x-a*ln(b*x+a)/b^2","A"
27,1,30,29,0.004000," ","int(x^2/(b*x+a),x)","\frac{x^{2}}{2 b}+\frac{a^{2} \ln \left(b x +a \right)}{b^{3}}-\frac{a x}{b^{2}}"," ",0,"-a*x/b^2+1/2*x^2/b+a^2*ln(b*x+a)/b^3","A"
28,1,19,18,0.006000," ","int(1/x/(b*x+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b x +a \right)}{a}"," ",0,"ln(x)/a-ln(b*x+a)/a","A"
29,1,29,28,0.010000," ","int(1/x^2/(b*x+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b x +a \right)}{a^{2}}-\frac{1}{a x}"," ",0,"-1/a/x-b*ln(x)/a^2+b*ln(b*x+a)/a^2","A"
30,1,43,42,0.013000," ","int(1/x^2/(b*x+a)^2,x)","-\frac{b}{\left(b x +a \right) a^{2}}-\frac{2 b \ln \left(x \right)}{a^{3}}+\frac{2 b \ln \left(b x +a \right)}{a^{3}}-\frac{1}{a^{2} x}"," ",0,"-1/a^2/x-b/a^2/(b*x+a)-2*b*ln(x)/a^3+2*b*ln(b*x+a)/a^3","A"
31,1,11,10,0.007000," ","int(1/(c^2+x^2),x)","\frac{\arctan \left(\frac{x}{c}\right)}{c}"," ",0,"arctan(x/c)/c","A"
32,1,22,10,0.007000," ","int(1/(c^2-x^2),x)","-\frac{\ln \left(-c +x \right)}{2 c}+\frac{\ln \left(c +x \right)}{2 c}"," ",0,"-1/2/c*ln(-c+x)+1/2/c*ln(x+c)","B"
33,1,58,57,0.005000," ","int(1/(2*x^3-1),x)","-\frac{2^{\frac{2}{3}} \sqrt{3}\, \arctan \left(\frac{\left(2 \,2^{\frac{1}{3}} x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{2^{\frac{2}{3}} \ln \left(x -\frac{2^{\frac{2}{3}}}{2}\right)}{6}-\frac{2^{\frac{2}{3}} \ln \left(x^{2}+\frac{2^{\frac{2}{3}} x}{2}+\frac{2^{\frac{1}{3}}}{2}\right)}{12}"," ",0,"1/6*2^(2/3)*ln(x-1/2*2^(2/3))-1/12*2^(2/3)*ln(x^2+1/2*2^(2/3)*x+1/2*2^(1/3))-1/6*arctan(1/3*(1+2*2^(1/3)*x)*3^(1/2))*2^(2/3)*3^(1/2)","A"
34,1,54,53,0.004000," ","int(1/(x^3-2),x)","-\frac{2^{\frac{1}{3}} \sqrt{3}\, \arctan \left(\frac{\left(2^{\frac{2}{3}} x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{2^{\frac{1}{3}} \ln \left(x -2^{\frac{1}{3}}\right)}{6}-\frac{2^{\frac{1}{3}} \ln \left(x^{2}+2^{\frac{1}{3}} x +2^{\frac{2}{3}}\right)}{12}"," ",0,"1/6*2^(1/3)*ln(x-2^(1/3))-1/12*ln(2^(2/3)+2^(1/3)*x+x^2)*2^(1/3)-1/6*arctan(1/3*(1+2^(2/3)*x)*3^(1/2))*2^(1/3)*3^(1/2)","A"
35,1,92,78,0.003000," ","int(1/(a*x^3-b),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}+\frac{\ln \left(x -\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}-\frac{\ln \left(x^{2}+\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}"," ",0,"1/3/a/(b/a)^(2/3)*ln(x-(b/a)^(1/3))-1/6/a/(b/a)^(2/3)*ln(x^2+(b/a)^(1/3)*x+(b/a)^(2/3))-1/3/a/(b/a)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(b/a)^(1/3)*x+1))","A"
36,1,35,25,0.003000," ","int(1/(x^4-2),x)","-\frac{2^{\frac{1}{4}} \arctan \left(\frac{2^{\frac{3}{4}} x}{2}\right)}{4}-\frac{2^{\frac{1}{4}} \ln \left(\frac{x +2^{\frac{1}{4}}}{x -2^{\frac{1}{4}}}\right)}{8}"," ",0,"-1/4*arctan(1/2*x*2^(3/4))*2^(1/4)-1/8*2^(1/4)*ln((x+2^(1/4))/(x-2^(1/4)))","A"
37,1,36,23,0.004000," ","int(1/(5*x^4-1),x)","-\frac{5^{\frac{3}{4}} \arctan \left(5^{\frac{1}{4}} x \right)}{10}-\frac{5^{\frac{3}{4}} \ln \left(\frac{x +\frac{5^{\frac{3}{4}}}{5}}{x -\frac{5^{\frac{3}{4}}}{5}}\right)}{20}"," ",0,"-1/10*arctan(5^(1/4)*x)*5^(3/4)-1/20*5^(3/4)*ln((x+1/5*5^(3/4))/(x-1/5*5^(3/4)))","A"
38,1,111,118,0.006000," ","int(1/(3*x^4+7),x)","\frac{\sqrt{3}\, 21^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 21^{\frac{3}{4}} x}{21}-1\right)}{84}+\frac{\sqrt{3}\, 21^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 21^{\frac{3}{4}} x}{21}+1\right)}{84}+\frac{\sqrt{3}\, 21^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\frac{\sqrt{3}\, 21^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{21}}{3}}{x^{2}-\frac{\sqrt{3}\, 21^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{21}}{3}}\right)}{168}"," ",0,"1/84*3^(1/2)*21^(1/4)*2^(1/2)*arctan(1/21*2^(1/2)*3^(1/2)*21^(3/4)*x-1)+1/168*3^(1/2)*21^(1/4)*2^(1/2)*ln((x^2+1/3*3^(1/2)*21^(1/4)*x*2^(1/2)+1/3*21^(1/2))/(x^2-1/3*3^(1/2)*21^(1/4)*x*2^(1/2)+1/3*21^(1/2)))+1/84*3^(1/2)*21^(1/4)*2^(1/2)*arctan(1/21*2^(1/2)*3^(1/2)*21^(3/4)*x+1)","A"
39,1,56,50,0.055000," ","int(1/(x^4+3*x^2-1),x)","-\frac{2 \sqrt{13}\, \arctanh \left(\frac{2 x}{\sqrt{-6+2 \sqrt{13}}}\right)}{13 \sqrt{-6+2 \sqrt{13}}}-\frac{2 \sqrt{13}\, \arctan \left(\frac{2 x}{\sqrt{6+2 \sqrt{13}}}\right)}{13 \sqrt{6+2 \sqrt{13}}}"," ",0,"-2/13*13^(1/2)/(-6+2*13^(1/2))^(1/2)*arctanh(2*x/(-6+2*13^(1/2))^(1/2))-2/13*13^(1/2)/(6+2*13^(1/2))^(1/2)*arctan(2*x/(6+2*13^(1/2))^(1/2))","A"
40,1,56,50,0.043000," ","int(1/(x^4-3*x^2-1),x)","-\frac{2 \sqrt{13}\, \arctanh \left(\frac{2 x}{\sqrt{6+2 \sqrt{13}}}\right)}{13 \sqrt{6+2 \sqrt{13}}}-\frac{2 \sqrt{13}\, \arctan \left(\frac{2 x}{\sqrt{-6+2 \sqrt{13}}}\right)}{13 \sqrt{-6+2 \sqrt{13}}}"," ",0,"-2/13*13^(1/2)/(6+2*13^(1/2))^(1/2)*arctanh(2/(6+2*13^(1/2))^(1/2)*x)-2/13*13^(1/2)/(-6+2*13^(1/2))^(1/2)*arctan(2/(-6+2*13^(1/2))^(1/2)*x)","A"
41,1,54,44,0.006000," ","int(1/(x^4-3*x^2+1),x)","\frac{\sqrt{5}\, \arctanh \left(\frac{\left(2 x +1\right) \sqrt{5}}{5}\right)}{10}+\frac{\sqrt{5}\, \arctanh \left(\frac{\left(2 x -1\right) \sqrt{5}}{5}\right)}{10}+\frac{\ln \left(x^{2}-x -1\right)}{4}-\frac{\ln \left(x^{2}+x -1\right)}{4}"," ",0,"-1/4*ln(x^2+x-1)+1/10*5^(1/2)*arctanh(1/5*(2*x+1)*5^(1/2))+1/4*ln(x^2-x-1)+1/10*5^(1/2)*arctanh(1/5*(2*x-1)*5^(1/2))","A"
42,1,60,63,0.044000," ","int(1/(x^4-4*x^2+1),x)","\frac{\sqrt{3}\, \arctanh \left(\frac{2 x}{\sqrt{6}-\sqrt{2}}\right)}{3 \sqrt{6}-3 \sqrt{2}}-\frac{\sqrt{3}\, \arctanh \left(\frac{2 x}{\sqrt{6}+\sqrt{2}}\right)}{3 \left(\sqrt{6}+\sqrt{2}\right)}"," ",0,"1/3*3^(1/2)/(6^(1/2)-2^(1/2))*arctanh(2*x/(6^(1/2)-2^(1/2)))-1/3*3^(1/2)/(6^(1/2)+2^(1/2))*arctanh(2*x/(6^(1/2)+2^(1/2)))","A"
43,1,60,63,0.041000," ","int(1/(x^4+4*x^2+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{2 x}{\sqrt{6}-\sqrt{2}}\right)}{3 \sqrt{6}-3 \sqrt{2}}-\frac{\sqrt{3}\, \arctan \left(\frac{2 x}{\sqrt{6}+\sqrt{2}}\right)}{3 \left(\sqrt{6}+\sqrt{2}\right)}"," ",0,"-1/3*3^(1/2)/(6^(1/2)+2^(1/2))*arctan(2/(6^(1/2)+2^(1/2))*x)+1/3*3^(1/2)/(6^(1/2)-2^(1/2))*arctan(2/(6^(1/2)-2^(1/2))*x)","A"
44,1,386,132,0.118000," ","int(1/(x^4+x^2+2),x)","-\frac{\left(-1+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 x -\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{28 \sqrt{1+2 \sqrt{2}}}-\frac{\left(-1+2 \sqrt{2}\right) \arctan \left(\frac{2 x -\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{7 \sqrt{1+2 \sqrt{2}}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 x -\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{2 \sqrt{1+2 \sqrt{2}}}-\frac{\left(-1+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 x +\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{28 \sqrt{1+2 \sqrt{2}}}-\frac{\left(-1+2 \sqrt{2}\right) \arctan \left(\frac{2 x +\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{7 \sqrt{1+2 \sqrt{2}}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 x +\sqrt{-1+2 \sqrt{2}}}{\sqrt{1+2 \sqrt{2}}}\right)}{2 \sqrt{1+2 \sqrt{2}}}-\frac{\sqrt{-1+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}-\sqrt{-1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{56}-\frac{\sqrt{-1+2 \sqrt{2}}\, \ln \left(x^{2}-\sqrt{-1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{14}+\frac{\sqrt{-1+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}+\sqrt{-1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{56}+\frac{\sqrt{-1+2 \sqrt{2}}\, \ln \left(x^{2}+\sqrt{-1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{14}"," ",0,"1/56*ln(x^2+2^(1/2)+x*(-1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))^(1/2)*2^(1/2)+1/14*ln(x^2+2^(1/2)+x*(-1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))^(1/2)-1/28/(1+2*2^(1/2))^(1/2)*arctan((2*x+(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))*2^(1/2)-1/7/(1+2*2^(1/2))^(1/2)*arctan((2*x+(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))+1/2/(1+2*2^(1/2))^(1/2)*arctan((2*x+(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*2^(1/2)-1/56*ln(x^2+2^(1/2)-x*(-1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))^(1/2)*2^(1/2)-1/14*ln(x^2+2^(1/2)-x*(-1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))^(1/2)-1/28/(1+2*2^(1/2))^(1/2)*arctan((2*x-(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))*2^(1/2)-1/7/(1+2*2^(1/2))^(1/2)*arctan((2*x-(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*(-1+2*2^(1/2))+1/2/(1+2*2^(1/2))^(1/2)*arctan((2*x-(-1+2*2^(1/2))^(1/2))/(1+2*2^(1/2))^(1/2))*2^(1/2)","B"
45,1,386,132,0.110000," ","int(1/(x^4-x^2+2),x)","\frac{\left(1+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 x -\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{28 \sqrt{-1+2 \sqrt{2}}}-\frac{\left(1+2 \sqrt{2}\right) \arctan \left(\frac{2 x -\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{7 \sqrt{-1+2 \sqrt{2}}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 x -\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{2 \sqrt{-1+2 \sqrt{2}}}+\frac{\left(1+2 \sqrt{2}\right) \sqrt{2}\, \arctan \left(\frac{2 x +\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{28 \sqrt{-1+2 \sqrt{2}}}-\frac{\left(1+2 \sqrt{2}\right) \arctan \left(\frac{2 x +\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{7 \sqrt{-1+2 \sqrt{2}}}+\frac{\sqrt{2}\, \arctan \left(\frac{2 x +\sqrt{1+2 \sqrt{2}}}{\sqrt{-1+2 \sqrt{2}}}\right)}{2 \sqrt{-1+2 \sqrt{2}}}+\frac{\sqrt{1+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}-\sqrt{1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{56}-\frac{\sqrt{1+2 \sqrt{2}}\, \ln \left(x^{2}-\sqrt{1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{14}-\frac{\sqrt{1+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}+\sqrt{1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{56}+\frac{\sqrt{1+2 \sqrt{2}}\, \ln \left(x^{2}+\sqrt{1+2 \sqrt{2}}\, x +\sqrt{2}\right)}{14}"," ",0,"1/56*ln(x^2+2^(1/2)-x*(1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))^(1/2)*2^(1/2)-1/14*ln(x^2+2^(1/2)-x*(1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))^(1/2)+1/28/(-1+2*2^(1/2))^(1/2)*arctan((2*x-(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))*2^(1/2)-1/7/(-1+2*2^(1/2))^(1/2)*arctan((2*x-(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))+1/2/(-1+2*2^(1/2))^(1/2)*arctan((2*x-(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*2^(1/2)-1/56*ln(x^2+2^(1/2)+x*(1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))^(1/2)*2^(1/2)+1/14*ln(x^2+2^(1/2)+x*(1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))^(1/2)+1/28/(-1+2*2^(1/2))^(1/2)*arctan((2*x+(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))*2^(1/2)-1/7/(-1+2*2^(1/2))^(1/2)*arctan((2*x+(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*(1+2*2^(1/2))+1/2/(-1+2*2^(1/2))^(1/2)*arctan((2*x+(1+2*2^(1/2))^(1/2))/(-1+2*2^(1/2))^(1/2))*2^(1/2)","B"
46,1,66,57,0.009000," ","int(1/(x^6-1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}-\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"1/6*ln(x-1)-1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/6*ln(x+1)+1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
47,1,111,98,0.156000," ","int(1/(x^6-2),x)","-\frac{2^{\frac{1}{6}} \sqrt{3}\, \arctan \left(\frac{2^{\frac{5}{6}} \sqrt{3}\, x}{3}-\frac{\sqrt{3}}{3}\right)}{12}-\frac{2^{\frac{1}{6}} \sqrt{3}\, \arctan \left(\frac{2^{\frac{5}{6}} \sqrt{3}\, x}{3}+\frac{\sqrt{3}}{3}\right)}{12}+\frac{2^{\frac{1}{6}} \ln \left(x -2^{\frac{1}{6}}\right)}{12}-\frac{2^{\frac{1}{6}} \ln \left(x +2^{\frac{1}{6}}\right)}{12}+\frac{2^{\frac{1}{6}} \ln \left(x^{2}-2^{\frac{1}{6}} x +2^{\frac{1}{3}}\right)}{24}-\frac{2^{\frac{1}{6}} \ln \left(x^{2}+2^{\frac{1}{6}} x +2^{\frac{1}{3}}\right)}{24}"," ",0,"1/12*2^(1/6)*ln(x-2^(1/6))-1/24*ln(2^(1/3)+2^(1/6)*x+x^2)*2^(1/6)-1/12*arctan(1/3*3^(1/2)+1/3*2^(5/6)*x*3^(1/2))*2^(1/6)*3^(1/2)+1/24*ln(2^(1/3)-2^(1/6)*x+x^2)*2^(1/6)-1/12*arctan(-1/3*3^(1/2)+1/3*2^(5/6)*x*3^(1/2))*2^(1/6)*3^(1/2)-1/12*2^(1/6)*ln(x+2^(1/6))","A"
48,1,95,94,0.194000," ","int(1/(x^6+2),x)","\frac{2^{\frac{1}{6}} \arctan \left(\frac{2^{\frac{5}{6}} x}{2}\right)}{6}+\frac{2^{\frac{1}{6}} \arctan \left(2^{\frac{5}{6}} x -\sqrt{3}\right)}{12}+\frac{2^{\frac{1}{6}} \arctan \left(2^{\frac{5}{6}} x +\sqrt{3}\right)}{12}-\frac{2^{\frac{1}{6}} \sqrt{3}\, \ln \left(x^{2}-2^{\frac{1}{6}} \sqrt{3}\, x +2^{\frac{1}{3}}\right)}{24}+\frac{2^{\frac{1}{6}} \sqrt{3}\, \ln \left(x^{2}+2^{\frac{1}{6}} \sqrt{3}\, x +2^{\frac{1}{3}}\right)}{24}"," ",0,"1/6*arctan(1/2*x*2^(5/6))*2^(1/6)+1/12*arctan(x*2^(5/6)-3^(1/2))*2^(1/6)+1/12*arctan(x*2^(5/6)+3^(1/2))*2^(1/6)-1/24*ln(2^(1/3)+x^2-2^(1/6)*x*3^(1/2))*2^(1/6)*3^(1/2)+1/24*ln(2^(1/3)+x^2+2^(1/6)*x*3^(1/2))*2^(1/6)*3^(1/2)","A"
49,1,22,239,0.004000," ","int(1/(x^8+1),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}"," ",0,"1/8*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
50,1,66,68,0.004000," ","int(1/(x^8-1),x)","-\frac{\arctanh \left(x \right)}{4}-\frac{\arctan \left(x \right)}{4}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}"," ",0,"-1/4*arctanh(x)-1/4*arctan(x)-1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))-1/8*2^(1/2)*arctan(2^(1/2)*x-1)-1/8*2^(1/2)*arctan(2^(1/2)*x+1)","A"
51,1,30,235,0.012000," ","int(1/(x^8-x^4+1),x)","\frac{\RootOf \left(9 \textit{\_Z}^{4}+1\right) \ln \left(3 \RootOf \left(9 \textit{\_Z}^{4}+1\right)^{2}+3 \RootOf \left(9 \textit{\_Z}^{4}+1\right) x +x^{2}\right)}{4}"," ",0,"1/4*sum(_R*ln(3*_R^2+3*_R*x+x^2),_R=RootOf(9*_Z^4+1))","C"
52,1,41,40,0.007000," ","int(x^7/(x^12+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{4}-1\right) \sqrt{3}}{3}\right)}{12}-\frac{\ln \left(x^{4}+1\right)}{12}+\frac{\ln \left(x^{8}-x^{4}+1\right)}{24}"," ",0,"-1/12*ln(x^4+1)+1/24*ln(x^8-x^4+1)+1/12*3^(1/2)*arctan(1/3*(2*x^4-1)*3^(1/2))","A"
53,1,9,8,0.001000," ","int(ln(x),x)","x \ln \left(x \right)-x"," ",0,"-x+x*ln(x)","A"
54,1,14,13,0.000000," ","int(x*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}"," ",0,"1/2*x^2*ln(x)-1/4*x^2","A"
55,1,14,13,0.007000," ","int(x^2*ln(x),x)","\frac{x^{3} \ln \left(x \right)}{3}-\frac{x^{3}}{9}"," ",0,"-1/9*x^3+1/3*x^3*ln(x)","A"
56,1,34,26,0.016000," ","int(x^p*ln(x),x)","\frac{x \,{\mathrm e}^{p \ln \left(x \right)} \ln \left(x \right)}{p +1}-\frac{x \,{\mathrm e}^{p \ln \left(x \right)}}{p^{2}+2 p +1}"," ",0,"1/(p+1)*x*ln(x)*exp(ln(x)*p)-1/(p^2+2*p+1)*x*exp(ln(x)*p)","A"
57,1,16,15,0.000000," ","int(ln(x)^2,x)","x \ln \left(x \right)^{2}-2 x \ln \left(x \right)+2 x"," ",0,"x*ln(x)^2-2*x*ln(x)+2*x","A"
58,1,104,103,0.003000," ","int(x^9*ln(x)^11,x)","\frac{x^{10} \ln \left(x \right)^{11}}{10}-\frac{11 x^{10} \ln \left(x \right)^{10}}{100}+\frac{11 x^{10} \ln \left(x \right)^{9}}{100}-\frac{99 x^{10} \ln \left(x \right)^{8}}{1000}+\frac{99 x^{10} \ln \left(x \right)^{7}}{1250}-\frac{693 x^{10} \ln \left(x \right)^{6}}{12500}+\frac{2079 x^{10} \ln \left(x \right)^{5}}{62500}-\frac{2079 x^{10} \ln \left(x \right)^{4}}{125000}+\frac{2079 x^{10} \ln \left(x \right)^{3}}{312500}-\frac{6237 x^{10} \ln \left(x \right)^{2}}{3125000}+\frac{6237 x^{10} \ln \left(x \right)}{15625000}-\frac{6237 x^{10}}{156250000}"," ",0,"-6237/156250000*x^10+6237/15625000*x^10*ln(x)-6237/3125000*x^10*ln(x)^2+2079/312500*x^10*ln(x)^3-2079/125000*x^10*ln(x)^4+2079/62500*x^10*ln(x)^5-693/12500*x^10*ln(x)^6+99/1250*x^10*ln(x)^7-99/1000*x^10*ln(x)^8+11/100*x^10*ln(x)^9-11/100*x^10*ln(x)^10+1/10*x^10*ln(x)^11","A"
59,1,7,6,0.001000," ","int(ln(x)^2/x,x)","\frac{\ln \left(x \right)^{3}}{3}"," ",0,"1/3*ln(x)^3","A"
60,1,9,2,0.007000," ","int(1/ln(x),x)","-\Ei \left(1, -\ln \left(x \right)\right)"," ",0,"-Ei(1,-ln(x))","B"
61,1,11,4,0.005000," ","int(1/ln(x+1),x)","-\Ei \left(1, -\ln \left(x +1\right)\right)"," ",0,"-Ei(1,-ln(x+1))","B"
62,1,4,3,0.000000," ","int(1/x/ln(x),x)","\ln \left(\ln \left(x \right)\right)"," ",0,"ln(ln(x))","A"
63,1,15,17,0.012000," ","int(1/x^2/ln(x)^2,x)","\Ei \left(1, \ln \left(x \right)\right)-\frac{1}{x \ln \left(x \right)}"," ",0,"-1/x/ln(x)+Ei(1,ln(x))","A"
64,1,13,12,0.004000," ","int(ln(x)^p/x,x)","\frac{\ln \left(x \right)^{p +1}}{p +1}"," ",0,"ln(x)^(p+1)/(p+1)","A"
65,1,25,24,0.006000," ","int((a*x+b)*ln(x),x)","\frac{a \,x^{2} \ln \left(x \right)}{2}-\frac{a \,x^{2}}{4}+b x \ln \left(x \right)-b x"," ",0,"-b*x-1/4*a*x^2+b*x*ln(x)+1/2*a*x^2*ln(x)","A"
66,1,48,46,0.003000," ","int((a*x+b)^2*ln(x),x)","\frac{a^{2} x^{3} \ln \left(x \right)}{3}-\frac{a^{2} x^{3}}{9}+a b \,x^{2} \ln \left(x \right)-\frac{a b \,x^{2}}{2}+b^{2} x \ln \left(x \right)-b^{2} x"," ",0,"1/3*a^2*x^3*ln(x)-1/9*a^2*x^3+a*b*x^2*ln(x)-1/2*a*b*x^2+ln(x)*x*b^2-b^2*x","A"
67,1,30,29,0.010000," ","int(ln(x)/(a*x+b)^2,x)","\frac{x \ln \left(x \right)}{\left(a x +b \right) b}-\frac{\ln \left(a x +b \right)}{a b}"," ",0,"x*ln(x)/b/(a*x+b)-ln(a*x+b)/a/b","A"
68,1,47,38,0.003000," ","int(x*ln(a*x+b),x)","\frac{x^{2} \ln \left(a x +b \right)}{2}-\frac{x^{2}}{4}+\frac{b x}{2 a}-\frac{b^{2} \ln \left(a x +b \right)}{2 a^{2}}+\frac{3 b^{2}}{4 a^{2}}"," ",0,"-1/2*b^2*ln(a*x+b)/a^2+1/2*b*x/a+3/4*b^2/a^2+1/2*x^2*ln(a*x+b)-1/4*x^2","A"
69,1,58,49,0.005000," ","int(x^2*ln(a*x+b),x)","\frac{x^{3} \ln \left(a x +b \right)}{3}-\frac{x^{3}}{9}+\frac{b \,x^{2}}{6 a}-\frac{b^{2} x}{3 a^{2}}+\frac{b^{3} \ln \left(a x +b \right)}{3 a^{3}}-\frac{11 b^{3}}{18 a^{3}}"," ",0,"1/3*x^3*ln(a*x+b)+1/3*b^3*ln(a*x+b)/a^3-1/9*x^3+1/6*b*x^2/a-1/3*b^2*x/a^2-11/18*b^3/a^3","A"
70,1,24,23,0.010000," ","int(ln(a^2+x^2),x)","2 a \arctan \left(\frac{x}{a}\right)+x \ln \left(a^{2}+x^{2}\right)-2 x"," ",0,"-2*x+2*a*arctan(1/a*x)+x*ln(a^2+x^2)","A"
71,1,29,23,0.001000," ","int(x*ln(a^2+x^2),x)","-\frac{a^{2}}{2}-\frac{x^{2}}{2}+\frac{\left(a^{2}+x^{2}\right) \ln \left(a^{2}+x^{2}\right)}{2}"," ",0,"1/2*(a^2+x^2)*ln(a^2+x^2)-1/2*x^2-1/2*a^2","A"
72,1,37,36,0.006000," ","int(x^2*ln(a^2+x^2),x)","-\frac{2 a^{3} \arctan \left(\frac{x}{a}\right)}{3}+\frac{x^{3} \ln \left(a^{2}+x^{2}\right)}{3}+\frac{2 a^{2} x}{3}-\frac{2 x^{3}}{9}"," ",0,"2/3*a^2*x-2/9*x^3-2/3*a^3*arctan(1/a*x)+1/3*x^3*ln(a^2+x^2)","A"
73,1,45,44,0.005000," ","int(x^4*ln(a^2+x^2),x)","\frac{2 a^{5} \arctan \left(\frac{x}{a}\right)}{5}+\frac{x^{5} \ln \left(a^{2}+x^{2}\right)}{5}-\frac{2 a^{4} x}{5}+\frac{2 a^{2} x^{3}}{15}-\frac{2 x^{5}}{25}"," ",0,"-2/5*a^4*x+2/15*a^2*x^3-2/25*x^5+2/5*a^5*arctan(1/a*x)+1/5*x^5*ln(a^2+x^2)","A"
74,1,32,25,0.013000," ","int(ln(-a^2+x^2),x)","-a \ln \left(-a +x \right)+a \ln \left(a +x \right)+x \ln \left(-a^{2}+x^{2}\right)-2 x"," ",0,"x*ln(-a^2+x^2)-2*x-a*ln(-a+x)+a*ln(a+x)","A"
75,0,0,7,0.027000," ","int(ln(ln(ln(ln(x)))),x)","\int \ln \left(\ln \left(\ln \left(\ln \left(x \right)\right)\right)\right)\, dx"," ",0,"int(ln(ln(ln(ln(x)))),x)","F"
76,1,5,4,0.000000," ","int(sin(x),x)","-\cos \left(x \right)"," ",0,"-cos(x)","A"
77,1,3,2,0.002000," ","int(cos(x),x)","\sin \left(x \right)"," ",0,"sin(x)","A"
78,1,6,5,0.001000," ","int(tan(x),x)","-\ln \left(\cos \left(x \right)\right)"," ",0,"-ln(cos(x))","A"
79,1,4,3,0.002000," ","int(1/tan(x),x)","\ln \left(\sin \left(x \right)\right)"," ",0,"ln(sin(x))","A"
80,1,26,17,0.029000," ","int(1/(tan(x)+1)^2,x)","-\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{4}+\frac{\ln \left(\tan \left(x \right)+1\right)}{2}-\frac{1}{2 \left(\tan \left(x \right)+1\right)}"," ",0,"-1/2/(tan(x)+1)+1/2*ln(tan(x)+1)-1/4*ln(tan(x)^2+1)","A"
81,1,7,3,0.016000," ","int(1/cos(x),x)","\ln \left(\sec \left(x \right)+\tan \left(x \right)\right)"," ",0,"ln(sec(x)+tan(x))","A"
82,1,9,5,0.017000," ","int(1/sin(x),x)","\ln \left(-\cot \left(x \right)+\csc \left(x \right)\right)"," ",0,"ln(csc(x)-cot(x))","A"
83,1,11,10,0.000000," ","int(sin(x)^2,x)","-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"-1/2*cos(x)*sin(x)+1/2*x","A"
84,1,17,16,0.006000," ","int(x^3*sin(x^2),x)","-\frac{x^{2} \cos \left(x^{2}\right)}{2}+\frac{\sin \left(x^{2}\right)}{2}"," ",0,"-1/2*x^2*cos(x^2)+1/2*sin(x^2)","A"
85,1,11,11,0.000000," ","int(sin(x)^3,x)","-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{3}"," ",0,"-1/3*(sin(x)^2+2)*cos(x)","A"
86,0,0,38,0.527000," ","int(sin(x)^p,x)","\int \sin^{p}\left(x \right)\, dx"," ",0,"int(sin(x)^p,x)","F"
87,1,16,15,0.025000," ","int(cos(x)*(1+sin(x)^2)^2,x)","\frac{\left(\sin^{5}\left(x \right)\right)}{5}+\frac{2 \left(\sin^{3}\left(x \right)\right)}{3}+\sin \left(x \right)"," ",0,"sin(x)+2/3*sin(x)^3+1/5*sin(x)^5","A"
88,1,11,10,0.001000," ","int(cos(x)^2,x)","\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*cos(x)*sin(x)+1/2*x","A"
89,1,11,9,0.001000," ","int(cos(x)^3,x)","\frac{\left(\cos^{2}\left(x \right)+2\right) \sin \left(x \right)}{3}"," ",0,"1/3*(cos(x)^2+2)*sin(x)","A"
90,1,3,2,0.121000," ","int(1/cos(x)^2,x)","\tan \left(x \right)"," ",0,"tan(x)","A"
91,1,7,11,0.029000," ","int(sin(x)*sin(2*x),x)","\frac{2 \left(\sin^{3}\left(x \right)\right)}{3}"," ",0,"2/3*sin(x)^3","A"
92,1,9,8,0.000000," ","int(x*sin(x),x)","-x \cos \left(x \right)+\sin \left(x \right)"," ",0,"-x*cos(x)+sin(x)","A"
93,1,18,17,0.000000," ","int(x^2*sin(x),x)","-x^{2} \cos \left(x \right)+2 x \sin \left(x \right)+2 \cos \left(x \right)"," ",0,"-x^2*cos(x)+2*x*sin(x)+2*cos(x)","A"
94,1,25,19,0.000000," ","int(x*sin(x)^2,x)","-\frac{x^{2}}{4}+\frac{\left(\sin^{2}\left(x \right)\right)}{4}+\left(-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x"," ",0,"-1/4*x^2+1/4*sin(x)^2+(-1/2*cos(x)*sin(x)+1/2*x)*x","A"
95,1,37,31,0.000000," ","int(x^2*sin(x)^2,x)","-\frac{x^{3}}{3}-\frac{x \left(\cos^{2}\left(x \right)\right)}{2}+\left(-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x^{2}+\frac{\cos \left(x \right) \sin \left(x \right)}{4}+\frac{x}{4}"," ",0,"-1/3*x^3-1/2*x*cos(x)^2+(-1/2*cos(x)*sin(x)+1/2*x)*x^2+1/4*cos(x)*sin(x)+1/4*x","A"
96,1,23,25,0.000000," ","int(x*sin(x)^3,x)","\frac{\left(\sin^{3}\left(x \right)\right)}{9}-\frac{\left(\sin^{2}\left(x \right)+2\right) x \cos \left(x \right)}{3}+\frac{2 \sin \left(x \right)}{3}"," ",0,"1/9*sin(x)^3-1/3*(sin(x)^2+2)*x*cos(x)+2/3*sin(x)","A"
97,1,8,7,0.013000," ","int(x*cos(x),x)","x \sin \left(x \right)+\cos \left(x \right)"," ",0,"cos(x)+x*sin(x)","A"
98,1,17,16,0.013000," ","int(x^2*cos(x),x)","x^{2} \sin \left(x \right)+2 x \cos \left(x \right)-2 \sin \left(x \right)"," ",0,"2*x*cos(x)-2*sin(x)+x^2*sin(x)","A"
99,1,25,19,0.016000," ","int(x*cos(x)^2,x)","-\frac{x^{2}}{4}-\frac{\left(\sin^{2}\left(x \right)\right)}{4}+\left(\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x"," ",0,"x*(1/2*cos(x)*sin(x)+1/2*x)-1/4*x^2-1/4*sin(x)^2","A"
100,1,37,31,0.036000," ","int(x^2*cos(x)^2,x)","-\frac{x^{3}}{3}+\frac{x \left(\cos^{2}\left(x \right)\right)}{2}+\left(\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}\right) x^{2}-\frac{\cos \left(x \right) \sin \left(x \right)}{4}-\frac{x}{4}"," ",0,"x^2*(1/2*cos(x)*sin(x)+1/2*x)+1/2*x*cos(x)^2-1/4*cos(x)*sin(x)-1/4*x-1/3*x^3","A"
101,1,23,25,0.025000," ","int(x*cos(x)^3,x)","\frac{\left(\cos^{3}\left(x \right)\right)}{9}+\frac{\left(\cos^{2}\left(x \right)+2\right) x \sin \left(x \right)}{3}+\frac{2 \cos \left(x \right)}{3}"," ",0,"1/3*x*(cos(x)^2+2)*sin(x)+1/9*cos(x)^3+2/3*cos(x)","A"
102,1,3,2,0.000000," ","int(sin(x)/x,x)","\Si \left(x \right)"," ",0,"Si(x)","A"
103,1,3,2,0.015000," ","int(cos(x)/x,x)","\Ci \left(x \right)"," ",0,"Ci(x)","A"
104,1,11,10,0.013000," ","int(sin(x)/x^2,x)","\Ci \left(x \right)-\frac{\sin \left(x \right)}{x}"," ",0,"Ci(x)-sin(x)/x","A"
105,1,12,11,0.023000," ","int(sin(x)^2/x,x)","-\frac{\Ci \left(2 x \right)}{2}+\frac{\ln \left(x \right)}{2}"," ",0,"-1/2*Ci(2*x)+1/2*ln(x)","A"
106,1,17,10,0.004000," ","int(tan(x)^3,x)","\frac{\left(\tan^{2}\left(x \right)\right)}{2}-\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{2}"," ",0,"1/2*tan(x)^2-1/2*ln(tan(x)^2+1)","A"
107,1,12,11,0.005000," ","int(sin(b*x+a),x)","-\frac{\cos \left(b x +a \right)}{b}"," ",0,"-cos(b*x+a)/b","A"
108,1,11,10,0.016000," ","int(cos(b*x+a),x)","\frac{\sin \left(b x +a \right)}{b}"," ",0,"sin(b*x+a)/b","A"
109,1,17,12,0.003000," ","int(tan(b*x+a),x)","\frac{\ln \left(\tan^{2}\left(b x +a \right)+1\right)}{2 b}"," ",0,"1/2/b*ln(1+tan(b*x+a)^2)","A"
110,1,29,11,0.006000," ","int(1/tan(b*x+a),x)","-\frac{\ln \left(\tan^{2}\left(b x +a \right)+1\right)}{2 b}+\frac{\ln \left(\tan \left(b x +a \right)\right)}{b}"," ",0,"-1/2/b*ln(tan(b*x+a)^2+1)+1/b*ln(tan(b*x+a))","B"
111,1,21,12,0.020000," ","int(1/sin(b*x+a),x)","\frac{\ln \left(-\cot \left(b x +a \right)+\csc \left(b x +a \right)\right)}{b}"," ",0,"1/b*ln(csc(b*x+a)-cot(b*x+a))","A"
112,1,19,11,0.020000," ","int(1/cos(b*x+a),x)","\frac{\ln \left(\sec \left(b x +a \right)+\tan \left(b x +a \right)\right)}{b}"," ",0,"1/b*ln(sec(b*x+a)+tan(b*x+a))","A"
113,1,27,21,0.019000," ","int(sin(b*x+a)^2,x)","\frac{\frac{b x}{2}-\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}}{b}"," ",0,"1/b*(-1/2*cos(b*x+a)*sin(b*x+a)+1/2*b*x+1/2*a)","A"
114,1,22,25,0.019000," ","int(sin(b*x+a)^3,x)","-\frac{\left(\sin^{2}\left(b x +a \right)+2\right) \cos \left(b x +a \right)}{3 b}"," ",0,"-1/3/b*(2+sin(b*x+a)^2)*cos(b*x+a)","A"
115,1,27,21,0.027000," ","int(cos(b*x+a)^2,x)","\frac{\frac{b x}{2}+\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}}{b}"," ",0,"1/b*(1/2*cos(b*x+a)*sin(b*x+a)+1/2*b*x+1/2*a)","A"
116,1,22,24,0.028000," ","int(cos(b*x+a)^3,x)","\frac{\left(\cos^{2}\left(b x +a \right)+2\right) \sin \left(b x +a \right)}{3 b}"," ",0,"1/3/b*(2+cos(b*x+a)^2)*sin(b*x+a)","A"
117,1,11,10,0.019000," ","int(1/cos(b*x+a)^2,x)","\frac{\tan \left(b x +a \right)}{b}"," ",0,"tan(b*x+a)/b","A"
118,1,5,9,0.017000," ","int(1/(cos(x)+1),x)","\tan \left(\frac{x}{2}\right)"," ",0,"tan(1/2*x)","A"
119,1,9,12,0.020000," ","int(1/(1-cos(x)),x)","-\frac{1}{\tan \left(\frac{x}{2}\right)}"," ",0,"-1/tan(1/2*x)","A"
120,1,11,10,0.017000," ","int(1/(sin(x)+1),x)","-\frac{2}{\tan \left(\frac{x}{2}\right)+1}"," ",0,"-2/(tan(1/2*x)+1)","A"
121,1,11,11,0.035000," ","int(1/(1-sin(x)),x)","-\frac{2}{\tan \left(\frac{x}{2}\right)-1}"," ",0,"-2/(tan(1/2*x)-1)","A"
122,1,39,34,0.028000," ","int(1/(a+b*sin(x)),x)","\frac{2 \arctan \left(\frac{2 a \tan \left(\frac{x}{2}\right)+2 b}{2 \sqrt{a^{2}-b^{2}}}\right)}{\sqrt{a^{2}-b^{2}}}"," ",0,"2/(a^2-b^2)^(1/2)*arctan(1/2*(2*a*tan(1/2*x)+2*b)/(a^2-b^2)^(1/2))","A"
123,1,43,41,0.068000," ","int(1/(a+cos(x)+b*sin(x)),x)","\frac{2 \arctan \left(\frac{2 b +2 \left(a -1\right) \tan \left(\frac{x}{2}\right)}{2 \sqrt{a^{2}-b^{2}-1}}\right)}{\sqrt{a^{2}-b^{2}-1}}"," ",0,"2/(a^2-b^2-1)^(1/2)*arctan(1/2*(2*(a-1)*tan(1/2*x)+2*b)/(a^2-b^2-1)^(1/2))","A"
124,1,158,63,0.018000," ","int(x^2*sin(b*x+a)^2,x)","\frac{\left(\frac{b x}{2}-\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right) a^{2}+\frac{b x}{4}-\frac{\left(b x +a \right) \left(\cos^{2}\left(b x +a \right)\right)}{2}+\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{4}+\frac{a}{4}-2 \left(\frac{\left(\sin^{2}\left(b x +a \right)\right)}{4}+\left(b x +a \right) \left(\frac{b x}{2}-\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right)-\frac{\left(b x +a \right)^{2}}{4}\right) a +\left(b x +a \right)^{2} \left(\frac{b x}{2}-\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right)-\frac{\left(b x +a \right)^{3}}{3}}{b^{3}}"," ",0,"1/b^3*((b*x+a)^2*(1/2*b*x-1/2*cos(b*x+a)*sin(b*x+a)+1/2*a)-1/2*(b*x+a)*cos(b*x+a)^2+1/4*cos(b*x+a)*sin(b*x+a)+1/4*b*x+1/4*a-1/3*(b*x+a)^3-2*a*((b*x+a)*(1/2*b*x-1/2*cos(b*x+a)*sin(b*x+a)+1/2*a)-1/4*(b*x+a)^2+1/4*sin(b*x+a)^2)+a^2*(1/2*b*x-1/2*cos(b*x+a)*sin(b*x+a)+1/2*a))","B"
125,1,12,11,0.045000," ","int(cos(x)*cos(2*x),x)","\frac{\sin \left(x \right)}{2}+\frac{\sin \left(3 x \right)}{6}"," ",0,"1/2*sin(x)+1/6*sin(3*x)","A"
126,1,158,63,0.025000," ","int(x^2*cos(b*x+a)^2,x)","\frac{\left(\frac{b x}{2}+\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right) a^{2}-\frac{b x}{4}+\frac{\left(b x +a \right) \left(\cos^{2}\left(b x +a \right)\right)}{2}-\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{4}-\frac{a}{4}-2 \left(-\frac{\left(\sin^{2}\left(b x +a \right)\right)}{4}+\left(b x +a \right) \left(\frac{b x}{2}+\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right)-\frac{\left(b x +a \right)^{2}}{4}\right) a +\left(b x +a \right)^{2} \left(\frac{b x}{2}+\frac{\cos \left(b x +a \right) \sin \left(b x +a \right)}{2}+\frac{a}{2}\right)-\frac{\left(b x +a \right)^{3}}{3}}{b^{3}}"," ",0,"1/b^3*((b*x+a)^2*(1/2*b*x+1/2*cos(b*x+a)*sin(b*x+a)+1/2*a)+1/2*(b*x+a)*cos(b*x+a)^2-1/4*cos(b*x+a)*sin(b*x+a)-1/4*b*x-1/4*a-1/3*(b*x+a)^3-2*a*((b*x+a)*(1/2*b*x+1/2*cos(b*x+a)*sin(b*x+a)+1/2*a)-1/4*(b*x+a)^2-1/4*sin(b*x+a)^2)+a^2*(1/2*b*x+1/2*cos(b*x+a)*sin(b*x+a)+1/2*a))","B"
127,1,22,12,0.009000," ","int(1/tan(x)^3,x)","\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{2}-\ln \left(\tan \left(x \right)\right)-\frac{1}{2 \tan \left(x \right)^{2}}"," ",0,"1/2*ln(tan(x)^2+1)-1/2/tan(x)^2-ln(tan(x))","A"
128,1,138,86,0.088000," ","int(x^3*tan(x)^4,x)","\frac{x^{4}}{4}+\frac{8 i x^{3}}{3}-4 x^{2} \ln \left({\mathrm e}^{2 i x}+1\right)+4 i x \polylog \left(2, -{\mathrm e}^{2 i x}\right)-\frac{2 i \left(6 x^{2} {\mathrm e}^{2 i x}+6 x^{2} {\mathrm e}^{4 i x}+4 x^{2}-3 i x \,{\mathrm e}^{2 i x}-3 i x \,{\mathrm e}^{4 i x}-6 \,{\mathrm e}^{2 i x}-3 \,{\mathrm e}^{4 i x}-3\right) x}{3 \left({\mathrm e}^{2 i x}+1\right)^{3}}-2 \polylog \left(3, -{\mathrm e}^{2 i x}\right)+\ln \left({\mathrm e}^{2 i x}+1\right)-2 \ln \left({\mathrm e}^{i x}\right)"," ",0,"1/4*x^4-2/3*I*x*(6*x^2*exp(4*I*x)+6*x^2*exp(2*I*x)-3*exp(4*I*x)-3*I*x*exp(4*I*x)+4*x^2-6*exp(2*I*x)-3*I*x*exp(2*I*x)-3)/(exp(2*I*x)+1)^3-2*ln(exp(I*x))+ln(exp(2*I*x)+1)+8/3*I*x^3-4*x^2*ln(exp(2*I*x)+1)+4*I*x*polylog(2,-exp(2*I*x))-2*polylog(3,-exp(2*I*x))","A"
129,1,237,119,0.102000," ","int(x^3*tan(x)^6,x)","-\frac{x^{4}}{4}-\frac{46 i x^{3}}{15}+\frac{23 x^{2} \ln \left({\mathrm e}^{2 i x}+1\right)}{5}-\frac{23 i x \polylog \left(2, -{\mathrm e}^{2 i x}\right)}{5}+\frac{23 \polylog \left(3, -{\mathrm e}^{2 i x}\right)}{10}-2 \ln \left({\mathrm e}^{2 i x}+1\right)+4 \ln \left({\mathrm e}^{i x}\right)+\frac{i \left(140 x^{3} {\mathrm e}^{2 i x}+280 x^{3} {\mathrm e}^{4 i x}+180 x^{3} {\mathrm e}^{6 i x}+90 x^{3} {\mathrm e}^{8 i x}+46 x^{3}-66 i x^{2} {\mathrm e}^{2 i x}-162 i x^{2} {\mathrm e}^{4 i x}-162 i x^{2} {\mathrm e}^{6 i x}-66 i x^{2} {\mathrm e}^{8 i x}-234 x \,{\mathrm e}^{2 i x}-354 x \,{\mathrm e}^{4 i x}-246 x \,{\mathrm e}^{6 i x}-66 x \,{\mathrm e}^{8 i x}-60 x +3 i {\mathrm e}^{2 i x}+9 i {\mathrm e}^{4 i x}+9 i {\mathrm e}^{6 i x}+3 i {\mathrm e}^{8 i x}\right)}{15 \left({\mathrm e}^{2 i x}+1\right)^{5}}"," ",0,"-1/4*x^4+1/15*I*(-162*I*x^2*exp(4*I*x)+90*x^3*exp(8*I*x)+3*I*exp(8*I*x)+9*I*exp(4*I*x)+180*x^3*exp(6*I*x)-66*x*exp(8*I*x)-66*I*x^2*exp(2*I*x)-162*I*x^2*exp(6*I*x)+280*x^3*exp(4*I*x)-246*x*exp(6*I*x)+9*I*exp(6*I*x)-66*I*x^2*exp(8*I*x)+140*x^3*exp(2*I*x)-354*x*exp(4*I*x)+3*I*exp(2*I*x)+46*x^3-234*x*exp(2*I*x)-60*x)/(exp(2*I*x)+1)^5+4*ln(exp(I*x))-2*ln(exp(2*I*x)+1)-46/15*I*x^3+23/5*x^2*ln(exp(2*I*x)+1)-23/5*I*x*polylog(2,-exp(2*I*x))+23/10*polylog(3,-exp(2*I*x))","A"
130,1,20,13,0.013000," ","int(x*tan(x)^2,x)","-\frac{x^{2}}{2}+x \tan \left(x \right)-\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{2}"," ",0,"x*tan(x)-1/2*x^2-1/2*ln(tan(x)^2+1)","A"
131,1,12,11,0.064000," ","int(cos(3*x)*sin(2*x),x)","\frac{\cos \left(x \right)}{2}-\frac{\cos \left(5 x \right)}{10}"," ",0,"1/2*cos(x)-1/10*cos(5*x)","A"
132,1,19,18,0.009000," ","int(cos(x)^2*sin(x)^2,x)","-\frac{\left(\cos^{3}\left(x \right)\right) \sin \left(x \right)}{4}+\frac{\cos \left(x \right) \sin \left(x \right)}{8}+\frac{x}{8}"," ",0,"1/8*x+1/8*cos(x)*sin(x)-1/4*cos(x)^3*sin(x)","A"
133,1,15,7,0.024000," ","int(1/cos(x)^2/sin(x)^2,x)","-2 \cot \left(x \right)+\frac{1}{\cos \left(x \right) \sin \left(x \right)}"," ",0,"1/sin(x)/cos(x)-2*cot(x)","A"
134,1,69,32,0.038000," ","int(d^x*sin(x),x)","\frac{\frac{2 \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}+\frac{{\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}-\frac{{\mathrm e}^{x \ln \left(d \right)}}{\ln \left(d \right)^{2}+1}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(1/(1+ln(d)^2)*exp(x*ln(d))*tan(1/2*x)^2-1/(1+ln(d)^2)*exp(x*ln(d))+2*ln(d)/(1+ln(d)^2)*exp(x*ln(d))*tan(1/2*x))/(tan(1/2*x)^2+1)","B"
135,1,71,31,0.033000," ","int(d^x*cos(x),x)","\frac{-\frac{{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}+\frac{{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\ln \left(d \right)^{2}+1}+\frac{2 \,{\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(ln(d)/(ln(d)^2+1)*exp(x*ln(d))+2/(ln(d)^2+1)*exp(x*ln(d))*tan(1/2*x)-ln(d)/(ln(d)^2+1)*exp(x*ln(d))*tan(1/2*x)^2)/(tan(1/2*x)^2+1)","B"
136,1,137,84,0.041000," ","int(d^x*x*sin(x),x)","\frac{\frac{2 x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}+\frac{x \,{\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}-\frac{2 \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{x \,{\mathrm e}^{x \ln \left(d \right)}}{\ln \left(d \right)^{2}+1}+\frac{2 \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{2 \left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(1/(ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)^2+2/(ln(d)^2+1)^2*ln(d)*exp(x*ln(d))-1/(ln(d)^2+1)*x*exp(x*ln(d))-2/(ln(d)^2+1)^2*ln(d)*exp(x*ln(d))*tan(1/2*x)^2-2*(ln(d)^2-1)/(ln(d)^2+1)^2*exp(x*ln(d))*tan(1/2*x)+2*ln(d)/(ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x))/(tan(1/2*x)^2+1)","A"
137,1,142,83,0.043000," ","int(d^x*x*cos(x),x)","\frac{-\frac{x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}+\frac{x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\ln \left(d \right)^{2}+1}+\frac{2 x \,{\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}-\frac{4 \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}+\frac{\left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{\left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)}}{\left(\ln \left(d \right)^{2}+1\right)^{2}}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"((ln(d)^2-1)/(ln(d)^2+1)^2*exp(x*ln(d))*tan(1/2*x)^2+ln(d)/(ln(d)^2+1)*x*exp(x*ln(d))-(ln(d)^2-1)/(ln(d)^2+1)^2*exp(x*ln(d))-4/(ln(d)^2+1)^2*ln(d)*exp(x*ln(d))*tan(1/2*x)+2/(ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)-ln(d)/(ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)^2)/(tan(1/2*x)^2+1)","A"
138,1,225,162,0.058000," ","int(d^x*x^2*sin(x),x)","\frac{\frac{2 x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}+\frac{x^{2} {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}-\frac{4 x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{x^{2} {\mathrm e}^{x \ln \left(d \right)}}{\ln \left(d \right)^{2}+1}+\frac{4 x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{4 \left(\ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}+\frac{4 \left(\ln \left(d \right)^{2}-3\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{3}}+\frac{2 \left(3 \ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{3}}-\frac{2 \left(3 \ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)}}{\left(\ln \left(d \right)^{2}+1\right)^{3}}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(1/(ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)^2-1/(ln(d)^2+1)*x^2*exp(x*ln(d))-2*(3*ln(d)^2-1)/(ln(d)^2+1)^3*exp(x*ln(d))+4/(ln(d)^2+1)^2*ln(d)*x*exp(x*ln(d))+2*(3*ln(d)^2-1)/(ln(d)^2+1)^3*exp(x*ln(d))*tan(1/2*x)^2-4/(ln(d)^2+1)^2*ln(d)*x*exp(x*ln(d))*tan(1/2*x)^2-4*(ln(d)^2-1)/(ln(d)^2+1)^2*x*exp(x*ln(d))*tan(1/2*x)+2*ln(d)/(ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)+4*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)^3*exp(x*ln(d))*tan(1/2*x))/(tan(1/2*x)^2+1)","A"
139,1,231,161,0.054000," ","int(d^x*x^2*cos(x),x)","\frac{-\frac{x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}+\frac{x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\ln \left(d \right)^{2}+1}+\frac{2 x^{2} {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}-\frac{8 x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}+\frac{2 \left(\ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{2}}-\frac{2 \left(\ln \left(d \right)^{2}-3\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right)^{3}}-\frac{2 \left(\ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)}}{\left(\ln \left(d \right)^{2}+1\right)^{2}}+\frac{2 \left(\ln \left(d \right)^{2}-3\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\left(\ln \left(d \right)^{2}+1\right)^{3}}+\frac{4 \left(3 \ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right)^{3}}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(ln(d)/(ln(d)^2+1)*x^2*exp(x*ln(d))+2/(ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)-2*(ln(d)^2-1)/(ln(d)^2+1)^2*x*exp(x*ln(d))+4*(3*ln(d)^2-1)/(ln(d)^2+1)^3*exp(x*ln(d))*tan(1/2*x)+2*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)^3*exp(x*ln(d))-8/(ln(d)^2+1)^2*ln(d)*x*exp(x*ln(d))*tan(1/2*x)+2*(ln(d)^2-1)/(ln(d)^2+1)^2*x*exp(x*ln(d))*tan(1/2*x)^2-ln(d)/(ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)^2-2*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)^3*exp(x*ln(d))*tan(1/2*x)^2)/(tan(1/2*x)^2+1)","A"
140,1,431,261,0.078000," ","int(d^x*x^3*sin(x),x)","\frac{\frac{2 x^{3} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}+\frac{x^{3} {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}-\frac{6 x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}-\frac{x^{3} {\mathrm e}^{x \ln \left(d \right)}}{\ln \left(d \right)^{2}+1}+\frac{6 x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}-\frac{6 \left(\ln \left(d \right)^{2}-1\right) x^{2} {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}+\frac{12 \left(\ln \left(d \right)^{2}-3\right) x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}+\frac{6 \left(3 \ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}-\frac{24 \left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{6}+3 \ln \left(d \right)^{4}+3 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)}-\frac{6 \left(3 \ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)}}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}+\frac{24 \left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\left(\ln \left(d \right)^{6}+3 \ln \left(d \right)^{4}+3 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)}-\frac{12 \left(\ln \left(d \right)^{4}-6 \ln \left(d \right)^{2}+1\right) {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)^{2}}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(1/(ln(d)^2+1)*x^3*exp(x*ln(d))*tan(1/2*x)^2-1/(ln(d)^2+1)*x^3*exp(x*ln(d))+6*ln(d)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))-6*(ln(d)^2-1)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)-6*(3*ln(d)^2-1)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))-12*(ln(d)^4-6*ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)/(ln(d)^2+1)^2*exp(x*ln(d))*tan(1/2*x)+24/(ln(d)^6+3*ln(d)^4+3*ln(d)^2+1)*ln(d)*(ln(d)^2-1)/(ln(d)^2+1)*exp(x*ln(d))+2*ln(d)/(ln(d)^2+1)*x^3*exp(x*ln(d))*tan(1/2*x)-6*ln(d)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)^2+6*(3*ln(d)^2-1)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)^2-24/(ln(d)^6+3*ln(d)^4+3*ln(d)^2+1)*ln(d)*(ln(d)^2-1)/(ln(d)^2+1)*exp(x*ln(d))*tan(1/2*x)^2+12*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x))/(tan(1/2*x)^2+1)","A"
141,1,441,260,0.072000," ","int(d^x*x^3*cos(x),x)","\frac{-\frac{x^{3} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{2}+1}+\frac{x^{3} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\ln \left(d \right)^{2}+1}+\frac{2 x^{3} {\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{2}+1}-\frac{12 x^{2} {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}+\frac{3 \left(\ln \left(d \right)^{2}-1\right) x^{2} {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}-\frac{6 \left(\ln \left(d \right)^{2}-3\right) x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}-\frac{3 \left(\ln \left(d \right)^{2}-1\right) x^{2} {\mathrm e}^{x \ln \left(d \right)}}{\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1}+\frac{6 \left(\ln \left(d \right)^{2}-3\right) x \,{\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right)}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}+\frac{12 \left(3 \ln \left(d \right)^{2}-1\right) x \,{\mathrm e}^{x \ln \left(d \right)} \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right)}-\frac{48 \left(\ln \left(d \right)^{2}-1\right) {\mathrm e}^{x \ln \left(d \right)} \ln \left(d \right) \tan \left(\frac{x}{2}\right)}{\left(\ln \left(d \right)^{4}+2 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)^{2}}+\frac{6 \left(\ln \left(d \right)^{4}-6 \ln \left(d \right)^{2}+1\right) {\mathrm e}^{x \ln \left(d \right)} \left(\tan^{2}\left(\frac{x}{2}\right)\right)}{\left(\ln \left(d \right)^{6}+3 \ln \left(d \right)^{4}+3 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)}-\frac{6 \left(\ln \left(d \right)^{4}-6 \ln \left(d \right)^{2}+1\right) {\mathrm e}^{x \ln \left(d \right)}}{\left(\ln \left(d \right)^{6}+3 \ln \left(d \right)^{4}+3 \ln \left(d \right)^{2}+1\right) \left(\ln \left(d \right)^{2}+1\right)}}{\tan^{2}\left(\frac{x}{2}\right)+1}"," ",0,"(ln(d)/(ln(d)^2+1)*x^3*exp(x*ln(d))+2/(ln(d)^2+1)*x^3*exp(x*ln(d))*tan(1/2*x)-3*(ln(d)^2-1)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))-6/(ln(d)^6+3*ln(d)^4+3*ln(d)^2+1)*(ln(d)^4-6*ln(d)^2+1)/(ln(d)^2+1)*exp(x*ln(d))+3*(ln(d)^2-1)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)^2+6/(ln(d)^6+3*ln(d)^4+3*ln(d)^2+1)*(ln(d)^4-6*ln(d)^2+1)/(ln(d)^2+1)*exp(x*ln(d))*tan(1/2*x)^2-ln(d)/(ln(d)^2+1)*x^3*exp(x*ln(d))*tan(1/2*x)^2-12*ln(d)/(ln(d)^4+2*ln(d)^2+1)*x^2*exp(x*ln(d))*tan(1/2*x)-48*(ln(d)^2-1)*ln(d)/(ln(d)^4+2*ln(d)^2+1)/(ln(d)^2+1)^2*exp(x*ln(d))*tan(1/2*x)+12*(3*ln(d)^2-1)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)+6*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))-6*ln(d)*(ln(d)^2-3)/(ln(d)^2+1)/(ln(d)^4+2*ln(d)^2+1)*x*exp(x*ln(d))*tan(1/2*x)^2)/(tan(1/2*x)^2+1)","A"
142,1,20,19,0.117000," ","int(sin(x)*sin(2*x)*sin(3*x),x)","-\frac{\cos \left(2 x \right)}{8}-\frac{\cos \left(4 x \right)}{16}+\frac{\cos \left(6 x \right)}{24}"," ",0,"-1/8*cos(2*x)-1/16*cos(4*x)+1/24*cos(6*x)","A"
143,1,23,22,0.089000," ","int(cos(x)*cos(2*x)*cos(3*x),x)","\frac{x}{4}+\frac{\sin \left(2 x \right)}{8}+\frac{\sin \left(4 x \right)}{16}+\frac{\sin \left(6 x \right)}{24}"," ",0,"1/4*x+1/8*sin(2*x)+1/16*sin(4*x)+1/24*sin(6*x)","A"
144,1,64,73,0.053000," ","int(x^2*sin(k*x)^3,x)","\frac{-\frac{\left(\sin^{2}\left(k x \right)+2\right) k^{2} x^{2} \cos \left(k x \right)}{3}+\frac{2 k x \left(\sin^{3}\left(k x \right)\right)}{9}+\frac{4 k x \sin \left(k x \right)}{3}+\frac{4 \cos \left(k x \right)}{3}+\frac{2 \left(\sin^{2}\left(k x \right)+2\right) \cos \left(k x \right)}{27}}{k^{3}}"," ",0,"1/k^3*(-1/3*k^2*x^2*(2+sin(k*x)^2)*cos(k*x)+4/3*cos(k*x)+4/3*k*x*sin(k*x)+2/9*k*x*sin(k*x)^3+2/27*(2+sin(k*x)^2)*cos(k*x))","A"
145,0,0,13,1.207000," ","int(x*cos(x)*cos(k/sin(x))/sin(x)^2,x)","\int \frac{x \cos \left(x \right) \cos \left(\frac{k}{\sin \left(x \right)}\right)}{\sin \left(x \right)^{2}}\, dx"," ",0,"int(x*cos(x)*cos(k/sin(x))/sin(x)^2,x)","F"
146,1,11,10,0.101000," ","int(cos(x)/sin(x)/tan(1/2*x),x)","-x -\cot \left(\frac{x}{2}\right)"," ",0,"-x-cot(1/2*x)","A"
147,1,143,71,0.102000," ","int(sin(a*x)/(b+c*sin(a*x))^2,x)","-\frac{8 c \arctan \left(\frac{2 b \tan \left(\frac{a x}{2}\right)+2 c}{2 \sqrt{b^{2}-c^{2}}}\right)}{\left(4 b^{2}-4 c^{2}\right) \sqrt{b^{2}-c^{2}}\, a}-\frac{8 c \tan \left(\frac{a x}{2}\right)}{\left(4 b^{2}-4 c^{2}\right) \left(b \left(\tan^{2}\left(\frac{a x}{2}\right)\right)+2 c \tan \left(\frac{a x}{2}\right)+b \right) a}-\frac{8 b}{\left(4 b^{2}-4 c^{2}\right) \left(b \left(\tan^{2}\left(\frac{a x}{2}\right)\right)+2 c \tan \left(\frac{a x}{2}\right)+b \right) a}"," ",0,"-8/a/(4*b^2-4*c^2)/(b*tan(1/2*a*x)^2+2*c*tan(1/2*a*x)+b)*c*tan(1/2*a*x)-8/a/(4*b^2-4*c^2)/(b*tan(1/2*a*x)^2+2*c*tan(1/2*a*x)+b)*b-8/a*c/(4*b^2-4*c^2)/(b^2-c^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*a*x)+2*c)/(b^2-c^2)^(1/2))","A"
148,1,14,13,0.001000," ","int(sin(ln(x)),x)","-\frac{x \cos \left(\ln \left(x \right)\right)}{2}+\frac{x \sin \left(\ln \left(x \right)\right)}{2}"," ",0,"-1/2*x*cos(ln(x))+1/2*x*sin(ln(x))","A"
149,1,14,13,0.002000," ","int(cos(ln(x)),x)","\frac{x \cos \left(\ln \left(x \right)\right)}{2}+\frac{x \sin \left(\ln \left(x \right)\right)}{2}"," ",0,"1/2*x*cos(ln(x))+1/2*x*sin(ln(x))","A"
150,1,3,2,0.001000," ","int(exp(x),x)","{\mathrm e}^{x}"," ",0,"exp(x)","A"
151,1,9,8,0.005000," ","int(a^x,x)","\frac{a^{x}}{\ln \left(a \right)}"," ",0,"a^x/ln(a)","A"
152,1,9,8,0.002000," ","int(exp(a*x),x)","\frac{{\mathrm e}^{a x}}{a}"," ",0,"exp(a*x)/a","A"
153,1,9,4,0.011000," ","int(exp(a*x)/x,x)","-\Ei \left(1, -a x \right)"," ",0,"-Ei(1,-a*x)","A"
154,1,31,23,0.007000," ","int(1/(a+b*exp(m*x)),x)","-\frac{\ln \left(b \,{\mathrm e}^{m x}+a \right)}{a m}+\frac{\ln \left({\mathrm e}^{m x}\right)}{a m}"," ",0,"-ln(a+b*exp(m*x))/a/m+1/m/a*ln(exp(m*x))","A"
155,1,11,10,0.010000," ","int(exp(2*x)/(exp(x)+1),x)","{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(x)-ln(exp(x)+1)","A"
156,1,15,12,0.002000," ","int(exp(a*x+2*x),x)","\frac{{\mathrm e}^{a x +2 x}}{a +2}"," ",0,"1/(2+a)*exp(a*x+2*x)","A"
157,1,22,22,0.007000," ","int(1/(b/exp(m*x)+a*exp(m*x)),x)","\frac{\arctan \left(\frac{a \,{\mathrm e}^{m x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, m}"," ",0,"1/m/(a*b)^(1/2)*arctan(a*exp(m*x)/(a*b)^(1/2))","A"
158,1,14,19,0.002000," ","int(exp(a*x)*x,x)","\frac{\left(a x -1\right) {\mathrm e}^{a x}}{a^{2}}"," ",0,"(a*x-1)*exp(a*x)/a^2","A"
159,1,102,142,0.004000," ","int(exp(x)*x^20,x)","\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) {\mathrm 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)*exp(x)","A"
160,1,19,18,0.006000," ","int(a^x/(b^x),x)","\frac{a^{x} b^{-x}}{\ln \left(a \right)-\ln \left(b \right)}"," ",0,"a^x/(b^x)/(ln(a)-ln(b))","A"
161,1,15,14,0.006000," ","int(a^x*b^x,x)","\frac{a^{x} b^{x}}{\ln \left(a \right)+\ln \left(b \right)}"," ",0,"a^x*b^x/(ln(a)+ln(b))","A"
162,1,21,17,0.043000," ","int(a^x/x^2,x)","-\Ei \left(1, -x \ln \left(a \right)\right) \ln \left(a \right)-\frac{a^{x}}{x}"," ",0,"-a^x/x-ln(a)*Ei(1,-x*ln(a))","A"
163,1,79,64,0.057000," ","int(a^x*x/(b*x+1)^2,x)","-\frac{a^{-\frac{1}{b}} \Ei \left(1, -x \ln \left(a \right)-\frac{\ln \left(a \right)}{b}\right)}{b^{2}}+\frac{a^{-\frac{1}{b}} \Ei \left(1, -x \ln \left(a \right)-\frac{\ln \left(a \right)}{b}\right) \ln \left(a \right)}{b^{3}}+\frac{a^{x} \ln \left(a \right)}{\left(x \ln \left(a \right)+\frac{\ln \left(a \right)}{b}\right) b^{3}}"," ",0,"-1/b^2*a^(-1/b)*Ei(1,-x*ln(a)-ln(a)/b)+ln(a)/b^3*a^x/(x*ln(a)+ln(a)/b)+ln(a)/b^3*a^(-1/b)*Ei(1,-x*ln(a)-ln(a)/b)","A"
164,1,16,15,0.004000," ","int(exp(a*x)*x/(a*x+1)^2,x)","\frac{{\mathrm e}^{a x}}{\left(a x +1\right) a^{2}}"," ",0,"exp(a*x)/a^2/(a*x+1)","A"
165,1,12,11,0.007000," ","int(k^(x^2)*x,x)","\frac{k^{x^{2}}}{2 \ln \left(k \right)}"," ",0,"1/2*k^(x^2)/ln(k)","A"
166,1,8,7,0.008000," ","int(exp(x^2),x)","\frac{\sqrt{\pi}\, \erfi \left(x \right)}{2}"," ",0,"1/2*erfi(x)*Pi^(1/2)","A"
167,1,7,6,0.001000," ","int(exp(x^2)*x,x)","\frac{{\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*exp(x^2)","A"
168,1,18,24,0.003000," ","int(exp(1/x)*(x+1)/x^4,x)","-\frac{\left(x^{2}-x +1\right) {\mathrm e}^{\frac{1}{x}}}{x^{2}}"," ",0,"-(x^2-x+1)*exp(1/x)/x^2","A"
169,1,23,22,0.124000," ","int(exp(1-exp(x^2)*x+2*x^2)*(2*x^3+x)/(1-exp(x^2)*x)^2,x)","-\frac{{\mathrm e}^{-x \,{\mathrm e}^{x^{2}}+1}}{x \,{\mathrm e}^{x^{2}}-1}"," ",0,"-exp(1-exp(x^2)*x)/(-1+exp(x^2)*x)","A"
170,0,0,7,0.039000," ","int(exp(exp(exp(exp(x)))),x)","\int {\mathrm e}^{{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}}\, dx"," ",0,"int(exp(exp(exp(exp(x)))),x)","F"
171,1,12,10,0.014000," ","int(exp(x)*ln(x),x)","{\mathrm e}^{x} \ln \left(x \right)+\Ei \left(1, -x \right)"," ",0,"exp(x)*ln(x)+Ei(1,-x)","A"
172,1,21,19,0.017000," ","int(exp(x)*x*ln(x),x)","\left(x -1\right) {\mathrm e}^{x} \ln \left(x \right)-\Ei \left(1, -x \right)-{\mathrm e}^{x}"," ",0,"(x-1)*exp(x)*ln(x)-Ei(1,-x)-exp(x)","A"
173,1,28,16,0.015000," ","int(exp(2*x)*ln(exp(x)),x)","\frac{x \,{\mathrm e}^{2 x}}{2}-\frac{{\mathrm e}^{2 x}}{4}+\frac{\left(-x +\ln \left({\mathrm e}^{x}\right)\right) {\mathrm e}^{2 x}}{2}"," ",0,"1/2*exp(2*x)*x-1/4*exp(2*x)+1/2*exp(2*x)*(ln(exp(x))-x)","A"
174,1,13,12,0.001000," ","int(2*x+x^2*2^(1/2),x)","\frac{\sqrt{2}\, x^{3}}{3}+x^{2}"," ",0,"x^2+1/3*x^3*2^(1/2)","A"
175,1,48,47,0.017000," ","int(ln(x)/(a*x+b)^(1/2),x)","\frac{4 \sqrt{b}\, \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)}{a}+\frac{2 \sqrt{a x +b}\, \ln \left(x \right)}{a}-\frac{4 \sqrt{a x +b}}{a}"," ",0,"4*arctanh((a*x+b)^(1/2)/b^(1/2))*b^(1/2)/a-4*(a*x+b)^(1/2)/a+2*ln(x)*(a*x+b)^(1/2)/a","A"
176,1,305,90,0.016000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2),x)","-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a^{2} d \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, b}+\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, a c \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{4 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}}-\frac{\sqrt{\left(b x +a \right) \left(d x +c \right)}\, b \,c^{2} \ln \left(\frac{b d x +\frac{1}{2} a d +\frac{1}{2} b c}{\sqrt{b d}}+\sqrt{b d \,x^{2}+a c +\left(a d +b c \right) x}\right)}{8 \sqrt{d x +c}\, \sqrt{b x +a}\, \sqrt{b d}\, d}+\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, a}{4 b}-\frac{\sqrt{d x +c}\, \sqrt{b x +a}\, c}{4 d}+\frac{\sqrt{b x +a}\, \left(d x +c \right)^{\frac{3}{2}}}{2 d}"," ",0,"1/2/d*(b*x+a)^(1/2)*(d*x+c)^(3/2)+1/4/b*(d*x+c)^(1/2)*(b*x+a)^(1/2)*a-1/4/d*(d*x+c)^(1/2)*(b*x+a)^(1/2)*c-1/8*d/b*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(b*d*x^2+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a^2+1/4*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(b*d*x^2+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*a*c-1/8/d*((b*x+a)*(d*x+c))^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*ln((1/2*a*d+1/2*b*c+b*d*x)/(b*d)^(1/2)+(b*d*x^2+(a*d+b*c)*x+a*c)^(1/2))/(b*d)^(1/2)*c^2*b","B"
177,1,13,12,0.002000," ","int((b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}}}{3 b}"," ",0,"2/3*(b*x+a)^(3/2)/b","A"
178,1,21,26,0.002000," ","int(x*(b*x+a)^(1/2),x)","-\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(-3 b x +2 a \right)}{15 b^{2}}"," ",0,"-2/15*(b*x+a)^(3/2)*(-3*b*x+2*a)/b^2","A"
179,1,32,41,0.005000," ","int(x^2*(b*x+a)^(1/2),x)","\frac{2 \left(b x +a \right)^{\frac{3}{2}} \left(15 b^{2} x^{2}-12 a x b +8 a^{2}\right)}{105 b^{3}}"," ",0,"2/105*(b*x+a)^(3/2)*(15*b^2*x^2-12*a*b*x+8*a^2)/b^3","A"
180,1,28,27,0.007000," ","int((b*x+a)^(1/2)/x,x)","-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))*a^(1/2)+2*(b*x+a)^(1/2)","A"
181,1,37,31,0.011000," ","int((b*x+a)^(1/2)/x^2,x)","2 \left(-\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 \sqrt{a}}-\frac{\sqrt{b x +a}}{2 b x}\right) b"," ",0,"2*b*(-1/2*(b*x+a)^(1/2)/b/x-1/2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2))","A"
182,1,13,12,0.003000," ","int(1/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}}{b}"," ",0,"2*(b*x+a)^(1/2)/b","A"
183,1,21,26,0.006000," ","int(x/(b*x+a)^(1/2),x)","-\frac{2 \sqrt{b x +a}\, \left(-b x +2 a \right)}{3 b^{2}}"," ",0,"-2/3*(b*x+a)^(1/2)*(-b*x+2*a)/b^2","A"
184,1,32,41,0.007000," ","int(x^2/(b*x+a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \left(3 b^{2} x^{2}-4 a x b +8 a^{2}\right)}{15 b^{3}}"," ",0,"2/15*(b*x+a)^(1/2)*(3*b^2*x^2-4*a*b*x+8*a^2)/b^3","A"
185,1,18,17,0.007000," ","int(1/x/(b*x+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*arctanh((b*x+a)^(1/2)/a^(1/2))/a^(1/2)","A"
186,1,40,33,0.008000," ","int(1/x^2/(b*x+a)^(1/2),x)","2 \left(\frac{\arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b x +a}}{2 a b x}\right) b"," ",0,"2*b*(-1/2*(b*x+a)^(1/2)/a/b/x+1/2/a^(3/2)*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
187,1,25,21,0.003000," ","int(((b*x+a)^(1/2))^p,x)","\frac{2 \left(b x +a \right) \left(b x +a \right)^{\frac{p}{2}}}{\left(p +2\right) b}"," ",0,"2*(b*x+a)*((b*x+a)^(1/2))^p/b/(2+p)","A"
188,1,43,44,0.004000," ","int(x*((b*x+a)^(1/2))^p,x)","-\frac{2 \left(-x p b -2 b x +2 a \right) \left(b x +a \right) \left(b x +a \right)^{\frac{p}{2}}}{\left(p^{2}+6 p +8\right) b^{2}}"," ",0,"-2*((b*x+a)^(1/2))^p*(-b*p*x-2*b*x+2*a)*(b*x+a)/b^2/(p^2+6*p+8)","A"
189,1,42,41,0.007000," ","int(arctan(1/2*(2*x-2^(1/2))*2^(1/2)),x)","x \arctan \left(\sqrt{2}\, x -1\right)-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{2}-\frac{\sqrt{2}\, \ln \left(\left(\sqrt{2}\, x -1\right)^{2}+1\right)}{4}"," ",0,"x*arctan(2^(1/2)*x-1)-1/2*2^(1/2)*arctan(2^(1/2)*x-1)-1/4*2^(1/2)*ln((2^(1/2)*x-1)^2+1)","A"
190,1,11,10,0.004000," ","int(1/(x^2-1)^(1/2),x)","\ln \left(x +\sqrt{x^{2}-1}\right)"," ",0,"ln(x+(x^2-1)^(1/2))","A"
191,1,50,27,0.005000," ","int(x^(1/2)*(x+1)^(1/2),x)","\frac{\left(x +1\right)^{\frac{3}{2}} \sqrt{x}}{2}-\frac{\sqrt{x +1}\, \sqrt{x}}{4}-\frac{\sqrt{\left(x +1\right) x}\, \ln \left(x +\frac{1}{2}+\sqrt{x^{2}+x}\right)}{8 \sqrt{x +1}\, \sqrt{x}}"," ",0,"1/2*x^(1/2)*(x+1)^(3/2)-1/4*x^(1/2)*(x+1)^(1/2)-1/8*(x*(x+1))^(1/2)/(x+1)^(1/2)/x^(1/2)*ln(x+1/2+(x^2+x)^(1/2))","A"
192,1,17,16,0.017000," ","int(sin(x^(1/2)),x)","-2 \sqrt{x}\, \cos \left(\sqrt{x}\right)+2 \sin \left(\sqrt{x}\right)"," ",0,"2*sin(x^(1/2))-2*cos(x^(1/2))*x^(1/2)","A"
193,1,18,11,0.003000," ","int(x/(-x^2+1)^(9/8),x)","-\frac{4 \left(x -1\right) \left(x +1\right)}{\left(-x^{2}+1\right)^{\frac{9}{8}}}"," ",0,"-4*(x-1)*(x+1)/(-x^2+1)^(9/8)","A"
194,1,7,6,0.011000," ","int(x/(-x^4+1)^(1/2),x)","\frac{\arcsin \left(x^{2}\right)}{2}"," ",0,"1/2*arcsin(x^2)","A"
195,1,11,10,0.011000," ","int(1/x/(x^4+1)^(1/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{x^{4}+1}}\right)}{2}"," ",0,"-1/2*arctanh(1/(x^4+1)^(1/2))","A"
196,1,14,15,0.012000," ","int(x/(x^4+x^2+1)^(1/2),x)","\frac{\arcsinh \left(\frac{2 \sqrt{3}\, \left(x^{2}+\frac{1}{2}\right)}{3}\right)}{2}"," ",0,"1/2*arcsinh(2/3*3^(1/2)*(x^2+1/2))","A"
197,1,23,24,0.019000," ","int(1/x/(-x^4+x^2-1)^(1/2),x)","\frac{\arctan \left(\frac{x^{2}-2}{2 \sqrt{-x^{4}+x^{2}-1}}\right)}{2}"," ",0,"1/2*arctan(1/2*(x^2-2)/(-x^4+x^2-1)^(1/2))","A"
198,1,15,15,0.005000," ","int((x+1)/(-x+1)^2/(x^2+1)^(1/2),x)","-\frac{\sqrt{x^{2}+1}}{x -1}"," ",0,"-(x^2+1)^(1/2)/(x-1)","A"
199,1,3,2,0.003000," ","int(1/(x^2+1)^(1/2),x)","\arcsinh \left(x \right)"," ",0,"arcsinh(x)","A"
200,1,15,14,0.005000," ","int(1/2*((x+1)^(1/2)*x^(1/2)+x^(1/2)*(x+2)^(1/2)+(x+1)^(1/2)*(x+2)^(1/2))/x^(1/2)/(x+1)^(1/2)/(x+2)^(1/2),x)","\sqrt{x}+\sqrt{x +1}+\sqrt{x +2}"," ",0,"x^(1/2)+(x+1)^(1/2)+(x+2)^(1/2)","A"
201,1,21,20,0.005000," ","int(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)","-\sqrt{x^{3}+1}+\sqrt{x^{5}-2 x +1}"," ",0,"-(x^3+1)^(1/2)+(x^5-2*x+1)^(1/2)","A"
202,1,24,23,0.003000," ","int(10/(x^2-4)^(1/2)+1/(x^2-1)^(1/2),x)","10 \ln \left(x +\sqrt{x^{2}-4}\right)+\ln \left(x +\sqrt{x^{2}-1}\right)"," ",0,"ln(x+(x^2-1)^(1/2))+10*ln(x+(x^2-4)^(1/2))","A"
203,1,25,62,0.079000," ","int((x+(a^2+x^2)^(1/2))^(1/2)/x,x)","2 \sqrt{2}\, \sqrt{x}\, \hypergeom \left(\left[-\frac{1}{4}, -\frac{1}{4}, \frac{1}{4}\right], \left[\frac{1}{2}, \frac{3}{4}\right], -\frac{a^{2}}{x^{2}}\right)"," ",0,"2*2^(1/2)*x^(1/2)*hypergeom([-1/4,-1/4,1/4],[1/2,3/4],-1/x^2*a^2)","C"
204,1,39,10,0.011000," ","int(3/2*x^2/(1+x^3+(x^3+1)^(1/2)),x)","\arctanh \left(\sqrt{x^{3}+1}\right)+\frac{3 \ln \left(x \right)}{2}-\frac{\ln \left(x +1\right)}{2}+\frac{\ln \left(x^{3}+1\right)}{2}-\frac{\ln \left(x^{2}-x +1\right)}{2}"," ",0,"-1/2*ln(x+1)-1/2*ln(x^2-x+1)+3/2*ln(x)+1/2*ln(x^3+1)+arctanh((x^3+1)^(1/2))","B"
205,1,33,31,0.005000," ","int(1/(2*h*r^2-alpha^2)^(1/2),r)","\frac{\sqrt{2}\, \ln \left(\sqrt{2}\, \sqrt{h}\, r +\sqrt{2 h \,r^{2}-\alpha^{2}}\right)}{2 \sqrt{h}}"," ",0,"1/2*ln(h^(1/2)*r*2^(1/2)+(2*h*r^2-alpha^2)^(1/2))*2^(1/2)/h^(1/2)","A"
206,1,66,40,0.011000," ","int(1/r/(2*h*r^2-alpha^2-epsilon^2)^(1/2),r)","-\frac{\ln \left(\frac{-2 \alpha^{2}-2 \epsilon^{2}+2 \sqrt{-\alpha^{2}-\epsilon^{2}}\, \sqrt{2 h \,r^{2}-\alpha^{2}-\epsilon^{2}}}{r}\right)}{\sqrt{-\alpha^{2}-\epsilon^{2}}}"," ",0,"-1/(-alpha^2-epsilon^2)^(1/2)*ln((-2*alpha^2-2*epsilon^2+2*(-alpha^2-epsilon^2)^(1/2)*(2*h*r^2-alpha^2-epsilon^2)^(1/2))/r)","A"
207,1,52,35,0.008000," ","int(1/r/(2*h*r^2-alpha^2-2*k*r)^(1/2),r)","-\frac{\ln \left(\frac{-2 \alpha^{2}-2 k r +2 \sqrt{-\alpha^{2}}\, \sqrt{2 h \,r^{2}-\alpha^{2}-2 k r}}{r}\right)}{\sqrt{-\alpha^{2}}}"," ",0,"-1/(-alpha^2)^(1/2)*ln((-2*alpha^2-2*k*r+2*(-alpha^2)^(1/2)*(2*h*r^2-alpha^2-2*k*r)^(1/2))/r)","A"
208,1,74,55,0.007000," ","int(1/r/(2*h*r^2-alpha^2-epsilon^2-2*k*r)^(1/2),r)","-\frac{\ln \left(\frac{-2 \alpha^{2}-2 \epsilon^{2}-2 k r +2 \sqrt{-\alpha^{2}-\epsilon^{2}}\, \sqrt{2 h \,r^{2}-\alpha^{2}-\epsilon^{2}-2 k r}}{r}\right)}{\sqrt{-\alpha^{2}-\epsilon^{2}}}"," ",0,"-1/(-alpha^2-epsilon^2)^(1/2)*ln((-2*alpha^2-2*epsilon^2-2*k*r+2*(-alpha^2-epsilon^2)^(1/2)*(2*h*r^2-alpha^2-epsilon^2-2*k*r)^(1/2))/r)","A"
209,1,20,19,0.004000," ","int(r/(2*e*r^2-alpha^2)^(1/2),r)","\frac{\sqrt{2 e \,r^{2}-\alpha^{2}}}{2 e}"," ",0,"1/2*(2*e*r^2-alpha^2)^(1/2)/e","A"
210,1,25,24,0.006000," ","int(r/(2*e*r^2-alpha^2-epsilon^2)^(1/2),r)","\frac{\sqrt{2 e \,r^{2}-\alpha^{2}-\epsilon^{2}}}{2 e}"," ",0,"1/2*(2*e*r^2-alpha^2-epsilon^2)^(1/2)/e","A"
211,1,47,45,0.016000," ","int(r/(-2*k*r^4+2*e*r^2-alpha^2)^(1/2),r)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \left(r^{2}-\frac{e}{2 k}\right) \sqrt{k}}{\sqrt{-2 k \,r^{4}+2 e \,r^{2}-\alpha^{2}}}\right)}{4 \sqrt{k}}"," ",0,"1/4*2^(1/2)/k^(1/2)*arctan(2^(1/2)*k^(1/2)*(r^2-1/2*e/k)/(-2*k*r^4+2*e*r^2-alpha^2)^(1/2))","A"
212,1,70,66,0.008000," ","int(r/(2*e*r^2-alpha^2-2*k*r)^(1/2),r)","\frac{\sqrt{2}\, k \ln \left(\frac{\left(2 e r -k \right) \sqrt{2}}{2 \sqrt{e}}+\sqrt{2 e \,r^{2}-\alpha^{2}-2 k r}\right)}{4 e^{\frac{3}{2}}}+\frac{\sqrt{2 e \,r^{2}-\alpha^{2}-2 k r}}{2 e}"," ",0,"1/2*(2*e*r^2-alpha^2-2*k*r)^(1/2)/e+1/4*k/e^(3/2)*ln(1/2*(2*e*r-k)*2^(1/2)/e^(1/2)+(2*e*r^2-alpha^2-2*k*r)^(1/2))*2^(1/2)","A"
213,1,56,40,0.017000," ","int(1/r/(-2*k*r^4+2*h*r^2-alpha^2)^(1/2),r)","-\frac{\ln \left(\frac{2 h \,r^{2}-2 \alpha^{2}+2 \sqrt{-\alpha^{2}}\, \sqrt{-2 k \,r^{4}+2 h \,r^{2}-\alpha^{2}}}{r^{2}}\right)}{2 \sqrt{-\alpha^{2}}}"," ",0,"-1/2/(-alpha^2)^(1/2)*ln((-2*alpha^2+2*h*r^2+2*(-alpha^2)^(1/2)*(-2*k*r^4+2*h*r^2-alpha^2)^(1/2))/r^2)","A"
214,1,78,60,0.016000," ","int(1/r/(-2*k*r^4+2*h*r^2-alpha^2-epsilon^2)^(1/2),r)","-\frac{\ln \left(\frac{2 h \,r^{2}-2 \alpha^{2}-2 \epsilon^{2}+2 \sqrt{-\alpha^{2}-\epsilon^{2}}\, \sqrt{-2 k \,r^{4}+2 h \,r^{2}-\alpha^{2}-\epsilon^{2}}}{r^{2}}\right)}{2 \sqrt{-\alpha^{2}-\epsilon^{2}}}"," ",0,"-1/2/(-alpha^2-epsilon^2)^(1/2)*ln((-2*alpha^2-2*epsilon^2+2*h*r^2+2*(-alpha^2-epsilon^2)^(1/2)*(-2*k*r^4+2*h*r^2-alpha^2-epsilon^2)^(1/2))/r^2)","A"
215,1,12,11,0.014000," ","int(a*cos(5+3*x)*sin(5+3*x)^2,x)","\frac{a \left(\sin^{3}\left(3 x +5\right)\right)}{9}"," ",0,"1/9*a*sin(5+3*x)^3","A"
216,1,16,15,0.013000," ","int(ln(x^2)/x^3,x)","-\frac{\ln \left(x^{2}\right)}{2 x^{2}}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-1/2*ln(x^2)/x^2","A"
217,1,21,12,0.017000," ","int(x*sin(a+x),x)","a \cos \left(a +x \right)-\left(a +x \right) \cos \left(a +x \right)+\sin \left(a +x \right)"," ",0,"a*cos(a+x)+sin(a+x)-(a+x)*cos(a+x)","A"
218,1,11,10,0.019000," ","int((-1+(-x+1)*ln(x))/exp(x)/ln(x)^2,x)","\frac{x \,{\mathrm e}^{-x}}{\ln \left(x \right)}"," ",0,"x/exp(x)/ln(x)","A"
219,1,24,23,0.004000," ","int(x^3/(a*x^2+b),x)","\frac{x^{2}}{2 a}-\frac{b \ln \left(a \,x^{2}+b \right)}{2 a^{2}}"," ",0,"1/2*x^2/a-1/2*b*ln(a*x^2+b)/a^2","A"
220,1,16,21,0.004000," ","int(x^(1/2)/(x+1)^(7/2),x)","\frac{2 \left(2 x +5\right) x^{\frac{3}{2}}}{15 \left(x +1\right)^{\frac{5}{2}}}"," ",0,"2/15*x^(3/2)*(5+2*x)/(x+1)^(5/2)","A"
221,1,10,9,0.005000," ","int(1/x/(x+1),x)","\ln \left(x \right)-\ln \left(x +1\right)"," ",0,"ln(x)-ln(x+1)","A"
222,1,14,13,0.004000," ","int(1/x^(1/2)/(2*x-1),x)","-\sqrt{2}\, \arctanh \left(\sqrt{2}\, \sqrt{x}\right)"," ",0,"-arctanh(2^(1/2)*x^(1/2))*2^(1/2)","A"
223,1,13,11,0.004000," ","int(x^(1/2)*(x^2+1),x)","\frac{2 \left(3 x^{2}+7\right) x^{\frac{3}{2}}}{21}"," ",0,"2/21*x^(3/2)*(3*x^2+7)","A"
224,1,85,63,0.013000," ","int((-a+x)^(1/3)/x,x)","-\sqrt{3}\, a^{\frac{1}{3}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(-a +x \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}-1\right)}{3}\right)-a^{\frac{1}{3}} \ln \left(a^{\frac{1}{3}}+\left(-a +x \right)^{\frac{1}{3}}\right)+\frac{a^{\frac{1}{3}} \ln \left(a^{\frac{2}{3}}-\left(-a +x \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(-a +x \right)^{\frac{2}{3}}\right)}{2}+3 \left(-a +x \right)^{\frac{1}{3}}"," ",0,"3*(-a+x)^(1/3)-a^(1/3)*ln(a^(1/3)+(-a+x)^(1/3))+1/2*a^(1/3)*ln((-a+x)^(2/3)-a^(1/3)*(-a+x)^(1/3)+a^(2/3))-a^(1/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/a^(1/3)*(-a+x)^(1/3)-1))","A"
225,1,10,9,0.014000," ","int(x*sinh(x),x)","x \cosh \left(x \right)-\sinh \left(x \right)"," ",0,"x*cosh(x)-sinh(x)","A"
226,1,10,9,0.014000," ","int(x*cosh(x),x)","x \sinh \left(x \right)-\cosh \left(x \right)"," ",0,"-cosh(x)+x*sinh(x)","A"
227,1,8,7,0.015000," ","int(sinh(2*x)/cosh(2*x),x)","\frac{\ln \left(\cosh \left(2 x \right)\right)}{2}"," ",0,"1/2*ln(cosh(2*x))","A"
228,1,16,11,0.025000," ","int((-1+I*eps*sinh(x))/(I*a-x+I*eps*cosh(x)),x)","\ln \left(i \mathit{eps} \cosh \left(x \right)+i a -x \right)"," ",0,"ln(I*a-x+I*eps*cosh(x))","A"
229,1,23,22,0.018000," ","int(cos(x)^2*sin(2*x+3),x)","\frac{\sin \left(3\right) x}{4}-\frac{\cos \left(2 x +3\right)}{4}-\frac{\cos \left(4 x +3\right)}{16}"," ",0,"-1/4*cos(2*x+3)-1/16*cos(3+4*x)+1/4*x*sin(3)","A"
230,1,16,15,0.000000," ","int(x*arctan(x),x)","\frac{x^{2} \arctan \left(x \right)}{2}-\frac{x}{2}+\frac{\arctan \left(x \right)}{2}"," ",0,"1/2*x^2*arctan(x)-1/2*x+1/2*arctan(x)","A"
231,1,16,15,0.007000," ","int(x*arccot(x),x)","\frac{x^{2} \mathrm{arccot}\left(x \right)}{2}+\frac{x}{2}-\frac{\arctan \left(x \right)}{2}"," ",0,"1/2*x+1/2*x^2*arccot(x)-1/2*arctan(x)","A"
232,1,23,19,0.005000," ","int(x*ln(x^2+a),x)","-\frac{x^{2}}{2}-\frac{a}{2}+\frac{\left(x^{2}+a \right) \ln \left(x^{2}+a \right)}{2}"," ",0,"1/2*(x^2+a)*ln(x^2+a)-1/2*x^2-1/2*a","A"
233,1,15,14,0.054000," ","int(cos(x)*sin(a+x),x)","\frac{x \sin \left(a \right)}{2}-\frac{\cos \left(a +2 x \right)}{4}"," ",0,"-1/4*cos(a+2*x)+1/2*x*sin(a)","A"
234,1,15,14,0.046000," ","int(cos(a+x)*sin(x),x)","-\frac{x \sin \left(a \right)}{2}-\frac{\cos \left(a +2 x \right)}{4}"," ",0,"-1/4*cos(a+2*x)-1/2*x*sin(a)","A"
235,1,17,10,0.058000," ","int((sin(x)+1)^(1/2),x)","\frac{2 \left(\sin \left(x \right)-1\right) \sqrt{\sin \left(x \right)+1}}{\cos \left(x \right)}"," ",0,"2*(sin(x)-1)*(sin(x)+1)^(1/2)/cos(x)","A"
236,1,23,12,0.068000," ","int((1-sin(x))^(1/2),x)","-\frac{2 \left(\sin \left(x \right)-1\right) \left(\sin \left(x \right)+1\right)}{\sqrt{-\sin \left(x \right)+1}\, \cos \left(x \right)}"," ",0,"-2*(sin(x)-1)*(sin(x)+1)/cos(x)/(1-sin(x))^(1/2)","A"
237,1,22,10,0.052000," ","int((cos(x)+1)^(1/2),x)","\frac{4 \sqrt{2}\, \cos \left(\frac{x}{2}\right) \sin \left(\frac{x}{2}\right)}{\sqrt{2 \cos \left(x \right)+2}}"," ",0,"2*cos(1/2*x)*sin(1/2*x)*2^(1/2)/(cos(1/2*x)^2)^(1/2)","B"
238,1,22,12,0.062000," ","int((1-cos(x))^(1/2),x)","-\frac{4 \sqrt{2}\, \cos \left(\frac{x}{2}\right) \sin \left(\frac{x}{2}\right)}{\sqrt{-2 \cos \left(x \right)+2}}"," ",0,"-2*sin(1/2*x)*cos(1/2*x)*2^(1/2)/(sin(1/2*x)^2)^(1/2)","A"
239,1,14,13,0.005000," ","int(1/(-(x-1)^(1/2)+x^(1/2)),x)","\frac{2 x^{\frac{3}{2}}}{3}+\frac{2 \left(x -1\right)^{\frac{3}{2}}}{3}"," ",0,"2/3*(x-1)^(3/2)+2/3*x^(3/2)","A"
240,1,31,20,0.006000," ","int(1/(1-(x+1)^(1/2)),x)","-\ln \left(x \right)-\ln \left(-1+\sqrt{x +1}\right)+\ln \left(1+\sqrt{x +1}\right)-2 \sqrt{x +1}"," ",0,"-ln(x)-2*(x+1)^(1/2)-ln(-1+(x+1)^(1/2))+ln(1+(x+1)^(1/2))","A"
241,1,9,8,0.007000," ","int(x/(x^4+36)^(1/2),x)","\frac{\arcsinh \left(\frac{x^{2}}{6}\right)}{2}"," ",0,"1/2*arcsinh(1/6*x^2)","A"
242,1,92,24,0.029000," ","int(1/(x^(1/3)+x^(1/2)),x)","-\ln \left(x -1\right)-2 \ln \left(x^{\frac{1}{6}}+1\right)+\ln \left(\sqrt{x}-1\right)-\ln \left(\sqrt{x}+1\right)-2 \ln \left(x^{\frac{1}{3}}-1\right)+2 \ln \left(x^{\frac{1}{6}}-1\right)+\ln \left(x^{\frac{1}{3}}-x^{\frac{1}{6}}+1\right)-\ln \left(x^{\frac{1}{3}}+x^{\frac{1}{6}}+1\right)+\ln \left(x^{\frac{2}{3}}+x^{\frac{1}{3}}+1\right)+2 \sqrt{x}-3 x^{\frac{1}{3}}+6 x^{\frac{1}{6}}"," ",0,"2*ln(x^(1/6)-1)-ln(x^(1/3)+x^(1/6)+1)-2*ln(1+x^(1/6))+ln(x^(1/3)-x^(1/6)+1)+2*x^(1/2)+ln(x^(1/2)-1)-ln(x^(1/2)+1)+6*x^(1/6)-ln(x-1)-2*ln(x^(1/3)-1)+ln(x^(2/3)+x^(1/3)+1)-3*x^(1/3)","B"
243,1,27,26,0.009000," ","int(ln(3*x^2+2),x)","x \ln \left(3 x^{2}+2\right)-2 x +\frac{2 \sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x}{2}\right)}{3}"," ",0,"-2*x+x*ln(3*x^2+2)+2/3*arctan(1/2*x*6^(1/2))*6^(1/2)","A"
244,1,4,3,0.000000," ","int(cot(x),x)","\ln \left(\sin \left(x \right)\right)"," ",0,"ln(sin(x))","A"
245,1,14,10,0.000000," ","int(cot(x)^4,x)","-\frac{\left(\cot^{3}\left(x \right)\right)}{3}+x +\cot \left(x \right)-\frac{\pi}{2}"," ",0,"-1/3*cot(x)^3+x+cot(x)-1/2*Pi","A"
246,1,4,3,0.001000," ","int(tanh(x),x)","\ln \left(\cosh \left(x \right)\right)"," ",0,"ln(cosh(x))","A"
247,1,4,3,0.004000," ","int(coth(x),x)","\ln \left(\sinh \left(x \right)\right)"," ",0,"ln(sinh(x))","A"
248,1,9,8,0.009000," ","int(b^x,x)","\frac{b^{x}}{\ln \left(b \right)}"," ",0,"b^x/ln(b)","A"
249,1,32,43,0.008000," ","int((2+1/x^4+x^4)^(1/2),x)","\frac{\left(x^{4}-3\right) \sqrt{\frac{x^{8}+2 x^{4}+1}{x^{4}}}\, x}{3 x^{4}+3}"," ",0,"1/3*x*(x^4-3)*((x^8+2*x^4+1)/x^4)^(1/2)/(x^4+1)","A"
250,1,13,12,0.003000," ","int((2*x+1)/(3*x+2),x)","\frac{2 x}{3}-\frac{\ln \left(3 x +2\right)}{9}"," ",0,"2/3*x-1/9*ln(3*x+2)","A"
251,0,0,30,0.009000," ","int(x*ln(x+(x^2+1)^(1/2)),x)","\int x \ln \left(x +\sqrt{x^{2}+1}\right)\, dx"," ",0,"int(x*ln(x+(x^2+1)^(1/2)),x)","F"
252,1,63,99,0.020000," ","int(x*(1+exp(x)*sin(x))^2,x)","-\frac{x \cos \left(2 x \right) {\mathrm e}^{2 x}}{8}+x \,{\mathrm e}^{x} \sin \left(x \right)+\frac{x^{2}}{2}+\frac{x \,{\mathrm e}^{2 x}}{4}+2 \left(-\frac{x}{2}+\frac{1}{2}\right) \cos \left(x \right) {\mathrm e}^{x}+\frac{\left(-\frac{x}{4}+\frac{1}{8}\right) {\mathrm e}^{2 x} \sin \left(2 x \right)}{2}-\frac{{\mathrm e}^{2 x}}{8}"," ",0,"1/2*x^2+2*(-1/2*x+1/2)*exp(x)*cos(x)+exp(x)*x*sin(x)+1/4*exp(x)^2*x-1/8*exp(x)^2-1/8*x*exp(2*x)*cos(2*x)+1/2*(-1/4*x+1/8)*exp(2*x)*sin(2*x)","A"
253,1,20,21,0.016000," ","int(exp(x)*x*cos(x),x)","\frac{x \cos \left(x \right) {\mathrm e}^{x}}{2}-\left(-\frac{x}{2}+\frac{1}{2}\right) {\mathrm e}^{x} \sin \left(x \right)"," ",0,"1/2*exp(x)*x*cos(x)-(-1/2*x+1/2)*exp(x)*sin(x)","A"
254,1,8,9,0.000000," ","int(1/(x-3)^4,x)","-\frac{1}{3 \left(x -3\right)^{3}}"," ",0,"-1/3/(x-3)^3","A"
255,1,33,34,0.003000," ","int(x/(x^3-1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{6}"," ",0,"1/3*ln(x-1)-1/6*ln(x^2+x+1)+1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
256,1,22,6,0.003000," ","int(x/(x^4-1),x)","\frac{\ln \left(x -1\right)}{4}+\frac{\ln \left(x +1\right)}{4}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/4*ln(x-1)+1/4*ln(x+1)-1/4*ln(x^2+1)","B"
257,1,1210,171,0.029000," ","int((x^3+1)*ln(x)/(x^4+2),x)","\frac{2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{i 2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\ln \left(x \right) \ln \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\ln \left(x \right) \ln \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{i 2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{i 2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\ln \left(x \right) \ln \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{i 2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{2^{\frac{1}{4}} \ln \left(x \right) \ln \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\ln \left(x \right) \ln \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{i 2^{\frac{1}{4}} \dilog \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{2^{\frac{1}{4}} \dilog \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\dilog \left(\frac{-x -\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}{-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{2^{\frac{3}{4}}}{2}-\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{2^{\frac{1}{4}} \dilog \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\dilog \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{i 2^{\frac{1}{4}} \dilog \left(\frac{-x +\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}{\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{2^{\frac{3}{4}}}{2}+\frac{i 2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{i 2^{\frac{1}{4}} \dilog \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}-\frac{2^{\frac{1}{4}} \dilog \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\dilog \left(\frac{-x -\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}{-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(-\frac{i 2^{\frac{3}{4}}}{2}+\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{i 2^{\frac{1}{4}} \dilog \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{2^{\frac{1}{4}} \dilog \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}+\frac{\dilog \left(\frac{-x +\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}{\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}}\right)}{4 \left(\frac{i 2^{\frac{3}{4}}}{2}-\frac{2^{\frac{3}{4}}}{2}\right)^{3}}"," ",0,"-1/4/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*2^(1/4)*ln(x)*ln((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))-1/4/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*2^(1/4)*dilog((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))+1/4*I/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*2^(1/4)*ln(x)*ln((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4*I/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*2^(1/4)*dilog((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*ln(x)*ln((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))+1/4/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*dilog((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))-1/4*I/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*2^(1/4)*dilog((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))-1/4*I/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*2^(1/4)*dilog((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))+1/4/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*2^(1/4)*ln(x)*ln((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*2^(1/4)*dilog((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*ln(x)*ln((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4/(1/2*I*2^(3/4)-1/2*2^(3/4))^3*dilog((1/2*I*2^(3/4)-1/2*2^(3/4)-x)/(1/2*I*2^(3/4)-1/2*2^(3/4)))+1/4/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*2^(1/4)*ln(x)*ln((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))+1/4/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*2^(1/4)*dilog((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))+1/4*I/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*2^(1/4)*dilog((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))-1/4*I/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*2^(1/4)*ln(x)*ln((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))+1/4/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*ln(x)*ln((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))+1/4/(-1/2*2^(3/4)-1/2*I*2^(3/4))^3*dilog((-1/2*2^(3/4)-1/2*I*2^(3/4)-x)/(-1/2*2^(3/4)-1/2*I*2^(3/4)))-1/4*I/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*2^(1/4)*ln(x)*ln((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))+1/4*I/(1/2*2^(3/4)+1/2*I*2^(3/4))^3*2^(1/4)*ln(x)*ln((1/2*2^(3/4)+1/2*I*2^(3/4)-x)/(1/2*2^(3/4)+1/2*I*2^(3/4)))-1/4/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*2^(1/4)*ln(x)*ln((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))-1/4/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*2^(1/4)*dilog((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))+1/4/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*ln(x)*ln((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))+1/4/(-1/2*I*2^(3/4)+1/2*2^(3/4))^3*dilog((-1/2*I*2^(3/4)+1/2*2^(3/4)-x)/(-1/2*I*2^(3/4)+1/2*2^(3/4)))","B"
258,1,26,24,0.004000," ","int(ln(x)+ln(x+1)+ln(x+2),x)","x \ln \left(x \right)-3 x +\left(x +1\right) \ln \left(x +1\right)+\left(x +2\right) \ln \left(x +2\right)-3"," ",0,"x*ln(x)-3*x+(x+1)*ln(x+1)-3+(x+2)*ln(x+2)","A"
259,1,54,55,0.004000," ","int(1/(x^3+5),x)","\frac{5^{\frac{1}{3}} \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \,5^{\frac{2}{3}} x}{5}-1\right)}{3}\right)}{15}+\frac{5^{\frac{1}{3}} \ln \left(x +5^{\frac{1}{3}}\right)}{15}-\frac{5^{\frac{1}{3}} \ln \left(x^{2}-5^{\frac{1}{3}} x +5^{\frac{2}{3}}\right)}{30}"," ",0,"1/15*ln(5^(1/3)+x)*5^(1/3)-1/30*ln(5^(2/3)-5^(1/3)*x+x^2)*5^(1/3)+1/15*5^(1/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/5*5^(2/3)*x-1))","A"
260,1,3,2,0.000000," ","int(1/(x^2+1)^(1/2),x)","\arcsinh \left(x \right)"," ",0,"arcsinh(x)","A"
261,1,21,20,0.003000," ","int((x^2+3)^(1/2),x)","\frac{\sqrt{x^{2}+3}\, x}{2}+\frac{3 \arcsinh \left(\frac{\sqrt{3}\, x}{3}\right)}{2}"," ",0,"3/2*arcsinh(1/3*3^(1/2)*x)+1/2*x*(x^2+3)^(1/2)","A"
262,1,11,10,0.008000," ","int(x/(x+1)^2,x)","\ln \left(x +1\right)+\frac{1}{x +1}"," ",0,"ln(x+1)+1/(x+1)","A"
263,1,15,14,0.002000," ","int(arcsin(x),x)","x \arcsin \left(x \right)+\sqrt{-x^{2}+1}"," ",0,"x*arcsin(x)+(-x^2+1)^(1/2)","A"
264,1,34,30,0.003000," ","int(x^2*arcsin(x),x)","\frac{x^{3} \arcsin \left(x \right)}{3}+\frac{\sqrt{-x^{2}+1}\, x^{2}}{9}+\frac{2 \sqrt{-x^{2}+1}}{9}"," ",0,"1/3*x^3*arcsin(x)+1/9*(-x^2+1)^(1/2)*x^2+2/9*(-x^2+1)^(1/2)","A"
265,1,14,21,0.126000," ","int(sec(x)^2/(1+sec(x)^2-3*tan(x)),x)","\ln \left(\tan \left(x \right)-2\right)-\ln \left(\tan \left(x \right)-1\right)"," ",0,"ln(tan(x)-2)-ln(tan(x)-1)","A"
266,1,11,10,0.024000," ","int(1/sec(x)^2,x)","\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*cos(x)*sin(x)+1/2*x","A"
267,1,17,18,0.008000," ","int((5*x^2-3*x-2)/(x-2)/x^2,x)","2 \ln \left(x \right)+3 \ln \left(x -2\right)-\frac{1}{x}"," ",0,"3*ln(x-2)-1/x+2*ln(x)","A"
268,1,7,6,0.005000," ","int(1/(4*x^2+9)^(1/2),x)","\frac{\arcsinh \left(\frac{2 x}{3}\right)}{2}"," ",0,"1/2*arcsinh(2/3*x)","A"
269,1,5,4,0.003000," ","int(1/(x^2+4)^(1/2),x)","\arcsinh \left(\frac{x}{2}\right)"," ",0,"arcsinh(1/2*x)","A"
270,1,17,16,0.005000," ","int(1/(9*x^2-12*x+10),x)","\frac{\sqrt{6}\, \arctan \left(\frac{\left(18 x -12\right) \sqrt{6}}{36}\right)}{18}"," ",0,"1/18*6^(1/2)*arctan(1/36*(18*x-12)*6^(1/2))","A"
271,1,42,45,0.013000," ","int(1/(x^8-2*x^7+2*x^6-2*x^5+x^4),x)","2 \ln \left(x \right)-\frac{5 \ln \left(x -1\right)}{2}+\frac{\ln \left(x^{2}+1\right)}{4}-\frac{2}{x}-\frac{1}{x^{2}}-\frac{1}{3 x^{3}}-\frac{1}{2 \left(x -1\right)}"," ",0,"-1/2/(x-1)-5/2*ln(x-1)+1/4*ln(x^2+1)-1/3/x^3-1/x^2-2/x+2*ln(x)","A"
272,1,66,43,0.009000," ","int((a*x^3+b*x^2+c*x+d)/(x-3)/x/(x+1),x)","a x +\frac{9 a \ln \left(x -3\right)}{4}-\frac{a \ln \left(x +1\right)}{4}+\frac{3 b \ln \left(x -3\right)}{4}+\frac{b \ln \left(x +1\right)}{4}+\frac{c \ln \left(x -3\right)}{4}-\frac{c \ln \left(x +1\right)}{4}-\frac{d \ln \left(x \right)}{3}+\frac{d \ln \left(x -3\right)}{12}+\frac{d \ln \left(x +1\right)}{4}"," ",0,"a*x+9/4*ln(x-3)*a+3/4*ln(x-3)*b+1/4*ln(x-3)*c+1/12*ln(x-3)*d-1/4*ln(x+1)*a+1/4*ln(x+1)*b-1/4*ln(x+1)*c+1/4*ln(x+1)*d-1/3*d*ln(x)","A"
273,0,0,14,0.046000," ","int(1/(2-ln(x^2+1))^5,x)","\int \frac{1}{\left(-\ln \left(x^{2}+1\right)+2\right)^{5}}\, dx"," ",0,"int(1/(2-ln(x^2+1))^5,x)","F"
274,1,28,27,0.045000," ","int(exp(x^2)/x+2*exp(x^2)*x*ln(x)+(-2+ln(x))/(x+ln(x)^2)^2+(1+1/x+2*ln(x)/x)/(x+ln(x)^2),x)","{\mathrm e}^{x^{2}} \ln \left(x \right)-\frac{\ln \left(x \right)}{\ln \left(x \right)^{2}+x}+\ln \left(\ln \left(x \right)^{2}+x \right)"," ",0,"exp(x^2)*ln(x)-ln(x)/(x+ln(x)^2)+ln(x+ln(x)^2)","A"
275,1,127,184,0.102000," ","int(x^4*exp(1/2*x+x*z)*sin(Pi*z)^4,z)","\frac{\left(-\frac{4 x \cos \left(2 \pi  z \right) {\mathrm e}^{x z +\frac{1}{2} x}}{x^{2}+4 \pi^{2}}+\frac{x \cos \left(4 \pi  z \right) {\mathrm e}^{x z +\frac{1}{2} x}}{x^{2}+16 \pi^{2}}-\frac{8 \pi  \,{\mathrm e}^{x z +\frac{1}{2} x} \sin \left(2 \pi  z \right)}{x^{2}+4 \pi^{2}}+\frac{4 \pi  \,{\mathrm e}^{x z +\frac{1}{2} x} \sin \left(4 \pi  z \right)}{x^{2}+16 \pi^{2}}+\frac{3 \,{\mathrm e}^{x z +\frac{1}{2} x}}{x}\right) x^{4}}{8}"," ",0,"1/8*x^4*(3/x*exp(1/2*x+x*z)+x/(16*Pi^2+x^2)*exp(1/2*x+x*z)*cos(4*Pi*z)+4*Pi/(16*Pi^2+x^2)*exp(1/2*x+x*z)*sin(4*Pi*z)-4*x/(4*Pi^2+x^2)*exp(1/2*x+x*z)*cos(2*Pi*z)-8*Pi/(4*Pi^2+x^2)*exp(1/2*x+x*z)*sin(2*Pi*z))","A"
276,1,16,15,0.008000," ","int(erf(x),x)","x \erf \left(x \right)+\frac{{\mathrm e}^{-x^{2}}}{\sqrt{\pi}}"," ",0,"x*erf(x)+1/Pi^(1/2)*exp(-x^2)","A"
277,1,22,21,0.005000," ","int(erf(a+x),x)","\left(a +x \right) \erf \left(a +x \right)+\frac{{\mathrm e}^{-\left(a +x \right)^{2}}}{\sqrt{\pi}}"," ",0,"(a+x)*erf(a+x)+1/Pi^(1/2)*exp(-(a+x)^2)","A"
278,1,1197351,88,1.432000," ","int((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)","\text{output too large to display}"," ",0,"result too large to display","B"
279,1,352,122,0.315000," ","int((1+2*y)*(-5*y^2-5*y+1)^(1/2)/y/(1+y)/(2+y)/(-y^2-y+1)^(1/2),y)","-\frac{300 \sqrt{-5 y^{2}-5 y +1}\, \sqrt{-y^{2}-y +1}\, \sqrt{-\frac{10 y +5+3 \sqrt{5}}{-10 y -5+3 \sqrt{5}}}\, \left(-10 y -5+3 \sqrt{5}\right)^{2} \sqrt{\frac{-2 y -1+\sqrt{5}}{-10 y -5+3 \sqrt{5}}}\, \sqrt{5}\, \sqrt{\frac{2 y +1+\sqrt{5}}{-10 y -5+3 \sqrt{5}}}\, \left(-3 \EllipticPi \left(2 \sqrt{-\frac{10 y +5+3 \sqrt{5}}{-10 y -5+3 \sqrt{5}}}, -\frac{5+\sqrt{5}}{4 \left(\sqrt{5}-5\right)}, \frac{1}{4}\right)+2 \EllipticPi \left(2 \sqrt{-\frac{10 y +5+3 \sqrt{5}}{-10 y -5+3 \sqrt{5}}}, -\frac{5+3 \sqrt{5}}{4 \left(3 \sqrt{5}-5\right)}, \frac{1}{4}\right)+\EllipticPi \left(2 \sqrt{-\frac{10 y +5+3 \sqrt{5}}{-10 y -5+3 \sqrt{5}}}, -\frac{3 \sqrt{5}-5}{4 \left(5+3 \sqrt{5}\right)}, \frac{1}{4}\right)\right)}{\sqrt{5 y^{4}+10 y^{3}-y^{2}-6 y +1}\, \sqrt{\left(10 y +5+3 \sqrt{5}\right) \left(-10 y -5+3 \sqrt{5}\right) \left(-2 y -1+\sqrt{5}\right) \left(2 y +1+\sqrt{5}\right)}\, \left(5+3 \sqrt{5}\right) \left(3 \sqrt{5}-5\right) \left(5+\sqrt{5}\right) \left(\sqrt{5}-5\right)}"," ",0,"-300*(-5*y^2-5*y+1)^(1/2)*(-y^2-y+1)^(1/2)*(-(10*y+5+3*5^(1/2))/(-10*y-5+3*5^(1/2)))^(1/2)*(-10*y-5+3*5^(1/2))^2*((-1+5^(1/2)-2*y)/(-10*y-5+3*5^(1/2)))^(1/2)*5^(1/2)*((1+5^(1/2)+2*y)/(-10*y-5+3*5^(1/2)))^(1/2)*(2*EllipticPi(2*(-(10*y+5+3*5^(1/2))/(-10*y-5+3*5^(1/2)))^(1/2),-1/4*(5+3*5^(1/2))/(3*5^(1/2)-5),1/4)-3*EllipticPi(2*(-(10*y+5+3*5^(1/2))/(-10*y-5+3*5^(1/2)))^(1/2),-1/4*(5+5^(1/2))/(5^(1/2)-5),1/4)+EllipticPi(2*(-(10*y+5+3*5^(1/2))/(-10*y-5+3*5^(1/2)))^(1/2),-1/4*(3*5^(1/2)-5)/(5+3*5^(1/2)),1/4))/(5*y^4+10*y^3-y^2-6*y+1)^(1/2)/((10*y+5+3*5^(1/2))*(-10*y-5+3*5^(1/2))*(-1+5^(1/2)-2*y)*(1+5^(1/2)+2*y))^(1/2)/(5+3*5^(1/2))/(3*5^(1/2)-5)/(5+5^(1/2))/(5^(1/2)-5)","C"
280,1,1088,17,0.216000," ","int(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)","-\frac{\arctanh \left(\frac{2+2 \sqrt{5}\, \left(x -\sqrt{5}\right)}{2 \sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+1}}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}-\frac{\arctanh \left(\frac{2-2 \sqrt{5}\, \left(x +\sqrt{5}\right)}{2 \sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+1}}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\arctanh \left(\frac{8+2 \sqrt{5}\, \left(x -\sqrt{5}\right)}{4 \sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+4}}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\arctanh \left(\frac{8-2 \sqrt{5}\, \left(x +\sqrt{5}\right)}{4 \sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+4}}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{7 \sqrt{x^{2}-4}\, \sqrt{x^{2}-1}\, \arctanh \left(\frac{5 x^{2}-17}{4 \sqrt{x^{4}-5 x^{2}+4}}\right)}{8 \sqrt{x^{4}-5 x^{2}+4}}-\frac{\ln \left(x +\sqrt{4 x +\left(x -2\right)^{2}-8}\right)}{2 \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right)}+\frac{\ln \left(x +\sqrt{2 x +\left(x -1\right)^{2}-2}\right)}{2 \left(\sqrt{5}+1\right) \left(\sqrt{5}-1\right)}-\frac{\ln \left(x +\sqrt{-2 x +\left(x +1\right)^{2}-2}\right)}{2 \left(\sqrt{5}+1\right) \left(\sqrt{5}-1\right)}+\frac{\ln \left(x +\sqrt{-4 x +\left(x +2\right)^{2}-8}\right)}{2 \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right)}+\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+1}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}-\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+4}\right)}{2 \left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}-\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+1}\right)}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\sqrt{5}\, \ln \left(x +\sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+4}\right)}{2 \left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\ln \left(x^{2}-5\right)}{4}+\frac{\sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+1}}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+1}}{\left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}-\frac{\sqrt{\left(x -\sqrt{5}\right)^{2}+2 \sqrt{5}\, \left(x -\sqrt{5}\right)+4}}{2 \left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\sqrt{2 x +\left(x -1\right)^{2}-2}}{2 \left(\sqrt{5}+1\right) \left(\sqrt{5}-1\right)}+\frac{\sqrt{-2 x +\left(x +1\right)^{2}-2}}{2 \left(\sqrt{5}+1\right) \left(\sqrt{5}-1\right)}-\frac{\sqrt{4 x +\left(x -2\right)^{2}-8}}{4 \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right)}-\frac{\sqrt{-4 x +\left(x +2\right)^{2}-8}}{4 \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right)}-\frac{\sqrt{\left(x +\sqrt{5}\right)^{2}-2 \sqrt{5}\, \left(x +\sqrt{5}\right)+4}}{2 \left(\sqrt{5}+1\right) \left(2+\sqrt{5}\right) \left(-2+\sqrt{5}\right) \left(\sqrt{5}-1\right)}+\frac{\sqrt{x^{2}-4}\, \sqrt{x^{2}-1}\, \left(-5 \arctanh \left(\frac{5 x^{2}-17}{4 \sqrt{x^{4}-5 x^{2}+4}}\right)+2 \ln \left(x^{2}-\frac{5}{2}+\sqrt{x^{4}-5 x^{2}+4}\right)\right)}{8 \sqrt{x^{4}-5 x^{2}+4}}"," ",0,"-1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*arctanh(1/2*(2-2*5^(1/2)*(x+5^(1/2)))/((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+1)^(1/2))+1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+1)^(1/2)-1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*arctanh(1/2*(2+2*5^(1/2)*(x-5^(1/2)))/((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+1)^(1/2))+1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+1)^(1/2)-1/2/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+4)^(1/2)+1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*arctanh(1/4*(8+2*5^(1/2)*(x-5^(1/2)))/((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+4)^(1/2))+1/2/(5^(1/2)+1)/(5^(1/2)-1)*((x-1)^2+2*x-2)^(1/2)+1/2/(5^(1/2)+1)/(5^(1/2)-1)*ln(x+((x-1)^2+2*x-2)^(1/2))+1/2/(5^(1/2)+1)/(5^(1/2)-1)*((x+1)^2-2*x-2)^(1/2)-1/2/(5^(1/2)+1)/(5^(1/2)-1)*ln(x+((x+1)^2-2*x-2)^(1/2))-1/4/(2+5^(1/2))/(-2+5^(1/2))*((x-2)^2+4*x-8)^(1/2)-1/2/(2+5^(1/2))/(-2+5^(1/2))*ln(x+((x-2)^2+4*x-8)^(1/2))-1/4/(2+5^(1/2))/(-2+5^(1/2))*((x+2)^2-4*x-8)^(1/2)+1/2/(2+5^(1/2))/(-2+5^(1/2))*ln(x+((x+2)^2-4*x-8)^(1/2))+1/4*ln(x^2-5)+1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*arctanh(1/4*(8-2*5^(1/2)*(x+5^(1/2)))/((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+4)^(1/2))-1/2/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+4)^(1/2)+1/2/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*5^(1/2)*ln(x+((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+4)^(1/2))-1/2/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*5^(1/2)*ln(x+((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+4)^(1/2))-1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*5^(1/2)*ln(x+((x+5^(1/2))^2-2*5^(1/2)*(x+5^(1/2))+1)^(1/2))+1/(5^(1/2)+1)/(2+5^(1/2))/(-2+5^(1/2))/(5^(1/2)-1)*5^(1/2)*ln(x+((x-5^(1/2))^2+2*5^(1/2)*(x-5^(1/2))+1)^(1/2))+7/8*(x^2-4)^(1/2)*(x^2-1)^(1/2)/(x^4-5*x^2+4)^(1/2)*arctanh(1/4*(5*x^2-17)/(x^4-5*x^2+4)^(1/2))+1/8*(x^2-4)^(1/2)*(x^2-1)^(1/2)*(2*ln(-5/2+x^2+(x^4-5*x^2+4)^(1/2))-5*arctanh(1/4*(5*x^2-17)/(x^4-5*x^2+4)^(1/2)))/(x^4-5*x^2+4)^(1/2)","B"
281,1,4640,2892,1.158000," ","int(-2^(1/2)*(x^4+2*x^2+4*x+1)^(1/2)+x*(-1+2*2^(1/2)),x)","\text{output too large to display}"," ",0,"1/2*x^2*(-1+2*2^(1/2))-2^(1/2)*(1/3*x*(x^4+2*x^2+4*x+1)^(1/2)+4/3*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)^2*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)/(1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)/((x+1)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2)*EllipticF(((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2),((-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2))+4*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)^2*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)/(1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)/((x+1)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2)*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+1/3)*EllipticF(((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2),((-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2))+(-4/3+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))*EllipticPi(((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2),(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))),((-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2)))+2/3*((x+1)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))+(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)^2*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*((-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2)*((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))+(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+1/3)+(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+1/3)^2)/(1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)*EllipticF(((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2),((-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2))+(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*EllipticE(((1/2*(26+6*33^(1/2))^(1/3)-4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x+1)/(1/6*(26+6*33^(1/2))^(1/3)-4/3/(26+6*33^(1/2))^(1/3)+4/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3))^(1/2),((-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-4/3-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))/(-1/2*(26+6*33^(1/2))^(1/3)+4/(26+6*33^(1/2))^(1/3)+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2))/(-1/3*(26+6*33^(1/2))^(1/3)+8/3/(26+6*33^(1/2))^(1/3)+4/3)))/((x+1)*(x+1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)-1/3)*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3-1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3)))*(x-1/6*(26+6*33^(1/2))^(1/3)+4/3/(26+6*33^(1/2))^(1/3)-1/3+1/2*I*3^(1/2)*(-1/3*(26+6*33^(1/2))^(1/3)-8/3/(26+6*33^(1/2))^(1/3))))^(1/2))","A"
282,1,1356,304,0.224000," ","int(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*ln(x/mc^2))/exp(x/y)/x^2,x)","\frac{\left(144 \pi^{2} \mathit{mc}^{5} y -36 \pi^{2} \mathit{mc}^{4} y +96 \pi^{2} \mathit{mc}^{3} x y +96 \pi^{2} \mathit{mc}^{3} y^{2}\right) {\mathrm e}^{-\frac{x}{y}} \ln \left(x \right)}{384}+\frac{i \pi^{3} \mathit{mc}^{3} x y \mathrm{csgn}\left(i \mathit{mc} \right)^{2} \mathrm{csgn}\left(i \mathit{mc}^{2}\right) {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} x y \,\mathrm{csgn}\left(i \mathit{mc} \right) \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{4}+\frac{i \pi^{3} \mathit{mc}^{3} x y \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right) {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} x y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right) {\mathrm e}^{-\frac{x}{y}}}{8}+\frac{\pi^{2} \mathit{mc}^{2} y^{2} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{\pi^{2} \mathit{mc} \,y^{3} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{\pi^{2} x^{2} y \,{\mathrm e}^{-\frac{x}{y}}}{128}-\frac{\pi^{2} x \,y^{2} {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{3 \pi^{2} \mathit{mc}^{5} y \,{\mathrm e}^{-\frac{x}{y}}}{8}+\frac{\pi^{2} \mathit{mc}^{8} {\mathrm e}^{-\frac{x}{y}}}{128 x}-\frac{\pi^{2} \mathit{mc}^{9} {\mathrm e}^{-\frac{x}{y}}}{96 x}-\frac{\pi^{2} \mathit{mc}^{3} x y \,{\mathrm e}^{-\frac{x}{y}} \ln \left(\mathit{mc} \right)}{2}+\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(i \mathit{mc} \right)^{2} \mathrm{csgn}\left(i \mathit{mc}^{2}\right) {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(i \mathit{mc} \right) \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{4}+\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{8}+\frac{\pi^{2} \mathit{mc}^{9} \Ei \left(1, \frac{x}{y}\right)}{96 y}-\frac{\pi^{2} \mathit{mc}^{8} \Ei \left(1, \frac{x}{y}\right)}{128 y}+\frac{\pi^{2} \mathit{mc}^{3} y^{2} \Ei \left(1, \frac{x}{y}\right)}{4}-\frac{3 \pi^{2} \mathit{mc}^{4} y \Ei \left(1, \frac{x}{y}\right)}{32}+\frac{3 \pi^{2} \mathit{mc}^{5} y \Ei \left(1, \frac{x}{y}\right)}{8}-\frac{5 \pi^{2} \mathit{mc}^{3} y^{2} {\mathrm e}^{-\frac{x}{y}}}{24}-\frac{\pi^{2} y^{3} {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{\pi^{2} \mathit{mc}^{7} \Ei \left(1, \frac{x}{y}\right)}{8}-\frac{\pi^{2} \mathit{mc}^{6} \Ei \left(1, \frac{x}{y}\right)}{16}+\frac{3 i \pi^{3} \mathit{mc}^{4} y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right) {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{i \pi^{3} \mathit{mc}^{3} x y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{3 i \pi^{3} \mathit{mc}^{5} y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right) {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{\pi^{2} \mathit{mc}^{3} y^{2} {\mathrm e}^{-\frac{x}{y}} \ln \left(\mathit{mc} \right)}{2}+\frac{\pi^{2} \mathit{mc}^{2} x y \,{\mathrm e}^{-\frac{x}{y}}}{16}-\frac{11 \pi^{2} \mathit{mc}^{3} x y \,{\mathrm e}^{-\frac{x}{y}}}{24}-\frac{\pi^{2} \mathit{mc} \,x^{2} y \,{\mathrm e}^{-\frac{x}{y}}}{32}-\frac{\pi^{2} \mathit{mc} x \,y^{2} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{3 \pi^{2} \mathit{mc}^{5} y \,{\mathrm e}^{-\frac{x}{y}} \ln \left(\mathit{mc} \right)}{4}+\frac{3 \pi^{2} \mathit{mc}^{4} y \,{\mathrm e}^{-\frac{x}{y}} \ln \left(\mathit{mc} \right)}{16}+\frac{3 i \pi^{3} \mathit{mc}^{5} y \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{3 i \pi^{3} \mathit{mc}^{5} y \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{3 i \pi^{3} \mathit{mc}^{4} y \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{3 i \pi^{3} \mathit{mc}^{4} y \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{8}+\frac{3 i \pi^{3} \mathit{mc}^{5} y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{16}+\frac{3 i \pi^{3} \mathit{mc}^{5} y \mathrm{csgn}\left(i \mathit{mc} \right)^{2} \mathrm{csgn}\left(i \mathit{mc}^{2}\right) {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{3 i \pi^{3} \mathit{mc}^{5} y \,\mathrm{csgn}\left(i \mathit{mc} \right) \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{8}+\frac{3 i \pi^{3} \mathit{mc}^{5} y \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{16}-\frac{3 i \pi^{3} \mathit{mc}^{4} y \,\mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{64}-\frac{3 i \pi^{3} \mathit{mc}^{4} y \mathrm{csgn}\left(i \mathit{mc} \right)^{2} \mathrm{csgn}\left(i \mathit{mc}^{2}\right) {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{3 i \pi^{3} \mathit{mc}^{4} y \,\mathrm{csgn}\left(i \mathit{mc} \right) \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{32}-\frac{3 i \pi^{3} \mathit{mc}^{4} y \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{64}+\frac{i \pi^{3} \mathit{mc}^{3} x y \mathrm{csgn}\left(i \mathit{mc}^{2}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{8}-\frac{i \pi^{3} \mathit{mc}^{3} x y \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{3} {\mathrm e}^{-\frac{x}{y}}}{8}+\frac{i \pi^{3} \mathit{mc}^{3} y^{2} \mathrm{csgn}\left(\frac{i}{\mathit{mc}^{2}}\right) \mathrm{csgn}\left(\frac{i x}{\mathit{mc}^{2}}\right)^{2} {\mathrm e}^{-\frac{x}{y}}}{8}"," ",0,"1/384*(144*Pi^2*mc^5*y-36*Pi^2*mc^4*y+96*Pi^2*mc^3*x*y+96*Pi^2*mc^3*y^2)*exp(-x/y)*ln(x)+1/8*I*y^2*Pi^3*mc^3*csgn(I*x)*csgn(I/mc^2*x)^2*exp(-x/y)+1/8*I*y^2*Pi^3*mc^3*csgn(I/mc^2)*csgn(I/mc^2*x)^2*exp(-x/y)-1/8*I*y*Pi^3*mc^3*csgn(I/mc^2*x)^3*x*exp(-x/y)-3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I/mc^2)*csgn(I/mc^2*x)^2-1/4*I*y^2*Pi^3*mc^3*csgn(I*mc)*csgn(I*mc^2)^2*exp(-x/y)+1/8*I*y^2*Pi^3*mc^3*csgn(I*mc)^2*csgn(I*mc^2)*exp(-x/y)+1/8*I*y*Pi^3*mc^3*csgn(I*mc^2)^3*x*exp(-x/y)-1/8*I*y*Pi^3*mc^3*csgn(I/mc^2)*csgn(I*x)*csgn(I/mc^2*x)*x*exp(-x/y)+1/16*y^2*Pi^2*mc^2*exp(-x/y)-1/16*y^3*Pi^2*mc*exp(-x/y)-1/128*y*Pi^2*exp(-x/y)*x^2-1/64*y^2*Pi^2*x*exp(-x/y)+3/8*y*Pi^2*exp(-x/y)*mc^5+1/96/y*Pi^2*mc^9*Ei(1,x/y)-1/128/y*Pi^2*mc^8*Ei(1,x/y)+1/128*Pi^2*mc^8/x*exp(-x/y)-1/96*Pi^2*mc^9/x*exp(-x/y)-1/2*y*Pi^2*ln(mc)*mc^3*x*exp(-x/y)+1/8*I*y^2*Pi^3*mc^3*csgn(I*mc^2)^3*exp(-x/y)-1/8*I*y^2*Pi^3*mc^3*csgn(I/mc^2*x)^3*exp(-x/y)-3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I*mc^2)^3+3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I/mc^2*x)^3+3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I*mc^2)^3-3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I/mc^2*x)^3-3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I*x)*csgn(I/mc^2*x)^2+3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I/mc^2)*csgn(I/mc^2*x)^2+3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I*mc)^2*csgn(I*mc^2)+3/32*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I*mc)*csgn(I*mc^2)^2-3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I*mc)^2*csgn(I*mc^2)-3/8*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I*mc)*csgn(I*mc^2)^2+3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I*x)*csgn(I/mc^2*x)^2-5/24*mc^3*Pi^2*y^2*exp(-x/y)+1/8*Pi^2*mc^7*Ei(1,x/y)-1/16*Pi^2*mc^6*Ei(1,x/y)-1/64*y^3*Pi^2*exp(-x/y)+1/4*Pi^2*mc^3*y^2*Ei(1,x/y)-3/32*Pi^2*mc^4*y*Ei(1,x/y)+3/8*Pi^2*mc^5*y*Ei(1,x/y)-3/16*I*y*Pi^3*exp(-x/y)*mc^5*csgn(I/mc^2)*csgn(I*x)*csgn(I/mc^2*x)+3/64*I*y*Pi^3*exp(-x/y)*mc^4*csgn(I/mc^2)*csgn(I*x)*csgn(I/mc^2*x)-1/8*I*y^2*Pi^3*mc^3*csgn(I/mc^2)*csgn(I*x)*csgn(I/mc^2*x)*exp(-x/y)+1/8*I*y*Pi^3*mc^3*csgn(I*x)*csgn(I/mc^2*x)^2*x*exp(-x/y)+1/8*I*y*Pi^3*mc^3*csgn(I/mc^2)*csgn(I/mc^2*x)^2*x*exp(-x/y)+1/8*I*y*Pi^3*mc^3*csgn(I*mc)^2*csgn(I*mc^2)*x*exp(-x/y)-1/4*I*y*Pi^3*mc^3*csgn(I*mc)*csgn(I*mc^2)^2*x*exp(-x/y)-1/2*y^2*Pi^2*ln(mc)*mc^3*exp(-x/y)+1/16*y*Pi^2*mc^2*x*exp(-x/y)-11/24*y*Pi^2*mc^3*x*exp(-x/y)-1/32*y*Pi^2*mc*exp(-x/y)*x^2-1/16*y^2*Pi^2*mc*x*exp(-x/y)-3/4*y*Pi^2*exp(-x/y)*ln(mc)*mc^5+3/16*y*Pi^2*exp(-x/y)*ln(mc)*mc^4","C"
283,1,5,4,0.030000," ","int(sin(2*x)/cos(x),x)","-2 \cos \left(x \right)"," ",0,"-2*cos(x)","A"
284,1,102,56,0.034000," ","int((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)","\frac{\ln \left(x^{7}+\sqrt{2}\, x^{2}+\left(\sqrt{2}-1\right) x -1\right)}{2}-\frac{\sqrt{2}\, \ln \left(x^{7}+\sqrt{2}\, x^{2}+\left(\sqrt{2}-1\right) x -1\right)}{2}+\frac{\ln \left(x^{7}-\sqrt{2}\, x^{2}+\left(-1-\sqrt{2}\right) x -1\right)}{2}+\frac{\sqrt{2}\, \ln \left(x^{7}-\sqrt{2}\, x^{2}+\left(-1-\sqrt{2}\right) x -1\right)}{2}"," ",0,"1/2*ln(x^7-x^2*2^(1/2)+(-1-2^(1/2))*x-1)+1/2*ln(x^7-x^2*2^(1/2)+(-1-2^(1/2))*x-1)*2^(1/2)+1/2*ln(-1+x^7+x*(2^(1/2)-1)+x^2*2^(1/2))-1/2*ln(-1+x^7+x*(2^(1/2)-1)+x^2*2^(1/2))*2^(1/2)","A"